============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 21899 was started by veroff on b146-08, Thu Jul 29 13:33:08 2021 The command was "prover9 -f aK2_eq_aK3_s.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file aK2_eq_aK3_s.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). (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). end_of_list. formulas(goals). a(x,K(y,z),u) = a(u,z,K(x,y)) # label("aK2_eq_aK3 (4312)"). 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(u,z,K(x,y)). (1 / x) * (1 / y) = 1 / (y * x). 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 | z \ x = z \ y. x != y | y != z | x = z. a(c92,c91,K(c89,c90)) != a(c89,K(c90,c91),c92). 1 \ x = x. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (x * y) \ ((x * y) * 1) = a(x,y,1). (x * (y * z)) * a(x,y,z) = (x * y) * z. (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,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) * 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 * z)) * y) \ x = L(z,y,x / (y * z)). L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. ((1 / (x * y)) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). (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)). ((x * y) * (y \ z)) / z = R(x,y,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(L(T(x,y),z,u),w) = L(T(T(x,w),y),z,u). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). 1 * x != y | z != y | x = z. x != y | z * u != y | z \ x = u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x != x * y | 1 = y. x * y != x | 1 = y. x != y * z | y \ x = z. x * y != z | x \ z = y. (x / y) * z != x | z = y. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. ((x * y) / z) * z != u * y | x = u. x != y / z | x * z = y. x / y != z | z * y = x. x != y \ z | y * x = z. x \ y != z | x * z = y. x != y \ (z * x) | z = y. x \ (y * z) != z | y = x. T(T(x,y),z) != T(u,y) | T(x,z) = u. R(T(x,y),z,u) != T(w,y) | R(x,z,u) = w. T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. x * (y \ (z * y)) = x * T(z,y). x * (y * (y \ z)) = x * z. ((x / y) * y) / z = x / z. (x * (x \ y)) \ z = y \ z. x \ (y * 1) = x \ y. 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 | (x * z) / z = y. (x * y) / y = 1 * x. x != y | z * (z \ x) = y. x * (x \ y) = z \ (z * y). x \ (x * y) = z * (z \ y). x * (x \ y) = y * 1. x * y != z | (y * x) * K(x,y) = z. ((x \ y) * x) * K(x,x \ y) = y. 1 = K(x,x). K(x,x) = 1. x * K(y \ x,y) = (y \ x) * y. x * K(y,x / y) = y * (x / y). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. R(x,y,z) \ ((x * y) * z) = y * z. R(x,y,y \ z) * z = (x * y) * (y \ z). R(x,y / z,z) * y = (x * (y / z)) * z. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. R(x,y,z) * (y * z) != u * z | x * y = u. R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x \ y != z | T(y / x,x) = z. T((x * y) / x,x) = y. T(x,y) != z \ (z * T(u,y)) | u = x. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x * T(y / x,x) = y. 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). x * (x \ T(y,y \ z)) = (y \ z) \ z. (x \ y) \ y = z * (z \ T(x,x \ 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(x,x \ y) = y. T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). x * y != z | x \ (u * (u \ z)) = y. x \ (y * (y \ x)) = 1. 1 \ (x * (x \ y)) = y. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. x * y != z * (z \ u) | x \ u = y. R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. (x * (y * z)) / 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). 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) * L(z,y,x) != x * u | y * z = u. (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). 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 * y) * z != (y * x) * (K(x,y) * u) | L(u,K(x,y),y * x) = z. (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. x != y | z != y | x = z. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. 1 \ x != y | x = y. x != y \ x | 1 = y. x \ y != y | 1 = x. L(x,1 / x,y) = (y * (1 / x)) \ y. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. x * (x \ y) = y * (z * (z \ 1)). x * (y * (y \ 1)) != z | x = z. x * (x \ y) != z | y = z. (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | y * x = z. K(x \ 1,x) = (x \ 1) * x. (x \ 1) * x = K(x \ 1,x). x * y != 1 * z | x \ z = y. (x \ 1) \ K(x \ 1,x) = x. (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. (x \ 1) * x != y | K(x \ 1,x) = y. x * y != z * T(u,z) | x \ (u * z) = y. T(x,y) \ (x * y) = T(y,T(x,y)). x * y != z * u | x \ (u * T(z,u)) = y. x \ (y * T(y \ x,y)) = K(y \ x,y). x \ (y * T(x,y)) = y. x != (y \ 1) * y | K(y \ 1,y) = x. K(x \ 1,x) = x * T(x \ 1,x). x * T(x \ 1,x) = K(x \ 1,x). x != y * 1 | T(y,1) = x. T(x,1) = x. x * (y * T(z,y)) = x * (z * y). (x * y) / T(x,y) = y. (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 * T(y,x) != z * x | y = z. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). x != L(T(y,z),u,w) | T(L(y,u,w),z) = x. T(L(x,y,z),y) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). x \ (y * x) != z | T(y,x) = z. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). 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)). L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. T(L(x,y,x),y) = T(x,x * y). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). x * 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 * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). x * L(x \ (y * x),z,u) = L(y,z,u) * x. x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * T(y,y * x) = L(y,x,y) * x. x / T(y,y \ x) = y \ x. (T(x,y) * z) / T(T(x,z),y) = z. x != (y * x) / z | T(y,x) = z. (x * y) / z != y | T(x,y) = z. (x * y) / T(y * x,K(x,y)) = K(x,y). (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x != y | z * (z \ y) = x. x * (x \ y) = (z / y) \ z. (x / y) \ x = z * (z \ y). x != y | z \ (z * y) = x. x \ (x * y) = (z / y) \ z. (x / y) \ x = z \ (z * y). T(x / (x / y),x / y) = y. ((x / y) \ x) * z = y * z. x \ (y * (z * u)) != L(T(z,u),u,y) | y * u = x. x * y = (x * (z * y)) / L(T(z,y),y,x). (x * (y * z)) / L(T(y,z),z,x) = x * z. x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x. x * (y * z) = ((x * y) * z) / a(x,y,z). ((x * y) * z) / a(x,y,z) = x * (y * z). x \ (y * z) != L(u,z / u,y) | y * (z / u) = x. x * (y / z) = (x * y) / L(z,y / z,x). (x * y) / L(z,y / z,x) = x * (y / z). x * ((y / (x \ z)) \ y) = z. x != y \ z | z / x = y. x \ y != z | y / z = x. ((x / (y / z)) \ x) \ y = z. x / L(y,1 / y,x) = x * (1 / y). x * (x \ y) != z \ u | u / y = z. x \ y != z * (z \ u) | y / u = x. (x / y) \ x != z | y = z. x * (x \ (y * z)) = y * (u * (u \ z)). (x / y) * y != z | x = z. x = (x / (y * (y \ z))) * z. (x / (y * (y \ z))) * z = x. x * (y * (y \ z)) != u * w | u \ (x * z) = w. x * (y * (y \ z)) != u | x * z = u. x * (y * T(z,y)) != u | x * (z * y) = u. x * (x \ y) = z / (y \ z). x / (y \ x) = z * (z \ y). (x / (y \ x)) \ z = y \ z. (x / (y \ x)) * z = y * z. x / (y / ((z \ x) \ y)) = z. x != y / z | x \ y = z. x / y != z | z \ x = y. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). x * y != (z * (z \ 1)) * u | x \ u = y. R(x,x \ 1,y) \ y = (x \ 1) * y. x \ L(y,x \ 1,x) = (x \ 1) * y. x / ((y \ 1) * x) = R(y,y \ 1,x). R(x,x \ 1,y) = y / ((x \ 1) * y). x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. 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))). x * y != z * (u * (u \ w)) | x \ (z * w) = y. (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). 1 * x != y / z | x * z = y. x / y != 1 * z | z * y = x. (x * y) / y != z | x = z. (x * y) / y != z | z = x. x / x != y | y = 1. x / x != y | 1 = y. ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. (x * y) / T(x,y) != z | z = y. (x * T(y,x)) / x != z | z = y. (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. (x * y) / (z * y) != u | R(x / z,z,y) = u. x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. L(x \ 1,x,y) = (y * x) \ y. L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ (y \ z),x,y) = (y * x) \ z. L(x \ y,x,z / x) = z \ ((z / x) * y). L(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). L(x \ T(y,z),x,z) = (z * x) \ (y * z). T((x * y) \ z,u) = L(T(y \ (x \ z),u),y,x). L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). 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 != (z / u) * u | z / y = x. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. x / (y \ ((x / z) * z)) = y. x * y != z * (z \ u) | u / y = x. x / K(y,y \ x) = (y \ x) * y. x * (y * (y \ 1)) != z | z = x. x * (x \ y) != z | z = y. (x / y) * y != z | z = x. (x / y) \ x != z | z = y. x \ (x * y) != z | z = y. x \ (y * x) != z | z = T(y,x). (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(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 * 1) != z | z = x \ y. x \ (y * 1) != z | x \ y = z. (x * y) \ (y * (T(x,y) * z)) != u | u = L(z,T(x,y),y). (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. (x * y) \ (x * z) != u | L(y \ z,y,x) = 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. 1 / (x * (1 / x)) != y | y = 1. 1 / (x * (1 / x)) != y | 1 = y. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. L(x \ 1,x,y) != z | (y * x) \ y = z. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). x / a(y,y \ 1,x) = y * ((y \ 1) * 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) * (y * z)) \ (x * z) != u | a(x / y,y,z) = u. (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). (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,w) = x * (y * L(y \ z,u,w)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). x / T(y,y \ x) != z | z = y \ x. x / T(y,y \ x) != z | y \ x = z. x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x. a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. x * y != x | T(1,x) = y. T(1,x) = 1. (x \ x) * y = y. (x \ x) * R(y,z,u) != R(w,z,u) | y = w. R(x,y,z) != (u \ u) * R(w,y,z) | w = x. (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x / 1 != y | x = y. x / (y \ x) != z | y = z. (x * T(y,x)) / x != z | y = z. x \ (x * y) != z | y = z. T(x,x) != y | x = y. R(x / y,y,z) \ (x * z) = 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. (x * y) / (z * y) != R(u,z,y) | x / z = u. R(x,y,z) != (u * z) / (y * z) | u / y = x. R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = 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 * T(y,z)) / x = T((x * y) / x,z). T(T(x,y),x) = T(x,y). T(x,y) != T(z,u) | x = T((y * z) / y,u). T(x,y) != T(z,u) | T((y * z) / y,u) = x. T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). T(x / y,z) * y = y * T(y \ x,z). T(x,y) * x = x * T(x,y). T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). T(x,T(x,y)) = x. R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x. T(x,R(x,y,z)) = x. L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x. T(x,L(x,y,z)) = x. T(L(x,y,z),x) = L(x,y,z). T(x,R(T(x,y),z,u)) = x. L(x,y,z / y) * z = (z / y) * (y * T(x,z)). (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. 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). L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). x != (1 / y) * (y * z) | L(z,y,1 / y) = x. L(x \ y,x,1 / x) = (1 / x) * y. (1 / x) \ L(y,x,1 / x) = x * y. (1 / x) * (x * y) != z | L(y,x,1 / x) = 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 != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). x != R(y,z,u) * (z * u) | (y * z) * u = x. (x * y) * z = (y * z) * R(T(x,y * z),y,z). (x * y) * R(T(z,x * y),x,y) = (z * x) * y. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (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). (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 * 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 \ (x * y) = L(y,x,1). x = L(x,y,1). L(x,y,1) = x. L(x,y,1) != z | z = x. x != y | (y / z) * z = x. ((x * y) / z) * z = ((x / u) * u) * y. x != ((1 / y) * y) * z | z = x. K(x,1 / x) = x * (1 / x). x * (1 / x) = K(x,1 / x). ((x / y) * y) * z != u | x \ u = z. (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). L(T(x \ 1,y),x,z) = T((z * x) \ z,y). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). (x * y) / y = R(x,y,1). R(x,y,1) = x. (x * y) \ x != z | L(y \ 1,y,x) = z. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. (x * L(y,z,u)) / x = L((x * y) / x,z,u). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). R(1 / x,x,y) \ y = x * y. R(x / y,y,x \ z) \ z = y * (x \ z). R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x,x \ y,z) \ (y * z) = (x \ y) * z. T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. L(x \ 1,x,y / x) = y \ (y / x). 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). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * x),y) = R(y \ 1,y,x). T(((x * y) * z) / (x * z),x) = R(y,x,z). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T((x * y) / 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,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((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. T((x * y) / x,z) * x != u | x * T(y,z) = u. (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * x = (y * x) * T(x,y). (x * y) * T(y,x) = (y * x) * y. (x * T(y,z)) * y = (x * y) * T(y,z). x * y != (z * x) * T(x,u) | T(z * T(x,u),x) = y. T(x * T(y,x * y),y) = x * y. x != ((y / z) * z) * u | y * u = x. x * T(y,z) = ((x / y) * T(y,z)) * y. ((x / y) * T(y,z)) * y = x * T(y,z). x != y * T(z,y) | z * y = x. x * (y * x) = (y * T(x,y * x)) * x. (x * T(y,x * y)) * y = y * (x * y). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != z * T(u,z) | (u * z) / y = x. (x * (y * x)) / x = y * T(x,y * x). x * y != (z * (z \ 1)) * u | u / y = x. T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). x * y != ((z / u) * u) * w | x \ (z * w) = y. ((x / y) * T(y,z)) \ (x * T(y,z)) = y. ((x / y) * y) * z != u | x * z = u. x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * y) / T(y,z) = (x / T(y,z)) * y. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). x * T(x \ (y * x),z) != u | T(y,z) * x = u. x * T(x \ y,z) != u | T(y / x,z) * x = u. (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. T(x,y) * z != z * u | T(T(x,z),y) = u. x * T(T(y,x),z) != u * x | T(y,z) = u. (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x \ y) * z != y | T(x,x \ y) = z. x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. (x \ y) \ y != z | z = T(x,x \ y). (x \ y) \ y != z | T(x,x \ y) = z. (x / y) * y = ((1 / z) * z) * x. ((x / y) * y) * z != u * w | (x * z) / w = u. ((x / y) * y) * z != u | u = x * z. x * y != (z * y) * T(y,u) | z * T(y,u) = x. (1 / x) * T(x,y) = T(x,y) / x. x * T(y,z) != (u * T(y,z)) * y | u * y = x. (1 / T(x,y)) * x = x / T(x,y). ((1 / x) * x) * y != z * u | y / u = z. (x / y) * y != z * u | x / u = 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). (x * (x \ y)) * z != u | y * z = u. ((x / y) \ x) * z != u | y * z = u. (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 != ((1 / z) * z) * u | u / y = x. ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. (x / ((y * x) / y)) / x = 1 / ((y * x) / y). (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. 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) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). x != y * (z * (z \ u)) | y * u = x. x * y = T(x,z) * (x * (T(x,z) \ y)). T(x,y) * (x * (T(x,y) \ z)) = x * z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / (x * (T(x,z) \ y)) = T(x,z). T(x,y) \ (x * z) = x * (T(x,y) \ z). x \ (T(x,y) * z) = T(x,y) * (x \ z). T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = 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 = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. x * y != z * 1 | x \ z = y. x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). T(x,y) * z != x * u | T(x,y) * (x \ 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)). T(x,y) \ z = x * (T(x,y) \ (x \ z)). x * (T(x,y) \ (x \ z)) = T(x,y) \ z. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. x * y != T(x,z) * u | x * (T(x,z) \ y) = u. T(x,y) * z != x * u | x * (T(x,y) \ u) = z. T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (T(x,y) \ x) = T(x,y) \ 1. x * y != z * (T(z,u) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. (x / y) * ((y \ x) \ 1) = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). x \ (T(x,y) \ x) != z | z = T(x,y) \ 1. x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. (1 / x) * (T(x,y) \ x) = L(T(x,y) \ 1,x,1 / x). L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). x * K(x \ (x / T(x,y)),x) = T(x,y) * ((T(x,y) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | y / u = z. (x * T(x \ y,z)) / x = T(y / x,z). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). T((x * y) / (z * y),u) * (z * y) != w | (T(x / z,u) * z) * y = 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. (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(x / y,y) != z | y \ x = z. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T(x,x \ y) != z | (x \ y) \ y = z. T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. 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). R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x \ 1,x). L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,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). L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. (x * (L(x,y,z) * u)) / (x * u) = L(x,y,z). L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). (L(x,y,z) * u) * w != L(x,y,z) * (x * u) | T(x,L(x,y,z) * u) = w. T(x,L(x,y,z) * (x \ u)) = (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u). (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. x \ ((x * (1 / y)) * y) = a(x,1 / y,y). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. x * y != z * u | z \ (x * y) = u. R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. x * (x \ y) != z * u | z \ y = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. 1 * x != y * z | y \ x = z. x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y. x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). ((x \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. ((x \ 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(x \ 1,y) != z | K(y \ (y / x),y) = z. K(x \ (x / (y \ 1)),x) = y \ T(y,x). (x * L(x \ y,z,u)) / x = L(y / x,z,u). ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. x / L(y \ 1,y,x) = x * y. (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. L((x \ y) \ 1,x \ y,x) = y \ x. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). (x * ((y * x) \ y)) / x = L(1 / x,x,y). L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). x / y = R(1 / (y / x),y / x,x). R(1 / (x / y),x / y,y) = y / x. x * y != z * 1 | z / y = x. R(x,1 / y,y) / y = x * (1 / y). R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. K(x,L(x,y,z)) = 1. T((x \ 1) \ y,x * y) = (x \ 1) \ y. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,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 != y * T(z,u) | T((y * z) / y,u) = x. T((x * y) / x,y * x) = L(y,x,y). (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). x != y | y * 1 = x. (1 / T(x,y)) \ (x / T(x,y)) = x. x * y != 1 * z | z / y = x. T(x,1 / x) / x = x * (1 / x). (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. (x * y) \ ((x * T(x \ z,u)) * y) = T((x * y) \ (z * y),u). x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. (x * y) * T((x * y) \ (z * y),u) != w | (x * T(x \ z,u)) * y = w. 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 \ x)) * z != u | y * z = u. x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). x * K(y,y) = x. 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). L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y). L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). L((x \ y) \ 1,x \ y,x) != z | y \ x = 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). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). 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. (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,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). 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). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / 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 * y != T(z / (1 / u),w) * (1 / u) | x \ (T(z * u,w) / u) = y. (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. K(x \ (x / (1 / y)),x) = T(y,x) / y. K(x \ (x / (1 / y)),x) * y = T(y,x). (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. T(x,y) \ (x \ z) = x \ (T(x,y) \ z). 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)). x \ (y * L(y \ z,u,w)) = (x \ y) * L((x \ y) \ (x \ z),u,w). (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). (x * y) \ ((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). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). x * y != z * (x * 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 * T(y \ (x \ z),u)) != w | (x * y) * T((x * y) \ z,u) = w. (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. x * (y * T(y \ z,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x * (y * T(y \ 1,x)) = ((x \ (x / y)) * x) * y. ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). ((x \ y) * x) * (y \ x) = x * ((y \ x) * T((y \ x) \ 1,x)). x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). L(x,y \ z,y) * z = y * ((y \ z) * T(x,z)). x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x * y != T(x,z) * (u * x) | T(x,z) * T(u,x) = y. T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). x \ (y * 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). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ 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). x * y != z * K(u \ (u / (z \ w)),u) | x \ (w * T(w \ z,u)) = y. x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). x != K(y \ (y / z),y) | z * T(z \ 1,y) = x. L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). 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 * y)) * x) = K(y,x). x \ ((y \ x) * y) != z | (x \ y) * T((x \ y) \ 1,y) = z. ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). x \ ((y \ x) * y) != z | K(y \ x,y) = z. K(x \ (x * y),x) = K(y,x). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). L(x \ 1,x,1 / x) = 1 / x. x * y != (z * u) \ (u * z) | x \ K(u,z) = y. x \ K(x,1 / x) = 1 / x. (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,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) | z = x. x = ((y / z) \ y) * (z \ x). ((x / y) \ x) * (y \ z) = z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. ((x \ y) \ y) \ (T(x,x \ y) * z) = z. (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * 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) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). (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 * (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)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. T((x * y) / x,z) * x != u | u = x * T(y,z). x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. ((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)) * 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(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). R(x,y,z) * (u * 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) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. (R(x,y,z) * u) * w != R(x,y,z) * (x * u) | T(x,R(x,y,z) * u) = w. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | w = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. x * y != 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). L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. (x * y) * (y * L(y \ 1,z,u)) = ((x * y) * L((x * y) \ x,z,u)) * y. ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. (x * y) * L(y,z,u) = (x * L(x \ (x * y),z,u)) * y. (x * L(x \ (x * y),z,u)) * y = (x * y) * L(y,z,u). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * 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)). (x * L(y,z,u)) * y = (x * y) * L(y,z,u). x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. x * L(y,z,u) = ((x / y) * L(y,z,u)) * y. ((x / y) * L(y,z,u)) * y = x * L(y,z,u). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. 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 * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). R((x * y) / x,z,u) * x != w | w = x * R(y,z,u). R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (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 / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x * y != (z * x) * ((u * ((z * x) \ (w * x))) / u) | T(z * ((u * (z \ w)) / u),x) = y. T(x * ((y * (x \ z)) / y),z) = (z \ (x * z)) * ((y * ((z \ (x * z)) \ z)) / y). (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. (x * y) * (y / (x * y)) = (x * (((x * y) * (x \ 1)) / (x * y))) * y. (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). T(x,y) * R((y \ (x * y)) \ 1,z,u) = y \ ((x * y) * R((x * y) \ y,z,u)). x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). (x / y) * ((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 / y) * ((y \ x) \ y) = T(y,T(x / y,y)). R(x,y,z) * u != x * (R(x,y,z) * w) | x * w = u. x * (R(x,y,z) \ 1) = R(x,y,z) \ x. x * y != R(x,z,u) * (x * w) | R(x,z,u) * w = y. R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * y != L(x,z,u) * (x * w) | L(x,z,u) * w = y. L(x,y,z) * (x \ 1) = x \ L(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. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,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 / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. ((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) * ((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. 1 = a(x,y,1). a(x,y,1) = 1. L(1,x,y) = 1. a(x,y,K(z,z)) = 1. L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). 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). R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). (x * y) * (y \ 1) = R(x,y,y \ 1). x * y != z * (u * (u \ 1)) | z / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. R(x,y,y \ 1) / (y \ 1) = x * y. x != y | x * 1 = y. x * a(x,y,y \ 1) = (x * y) * (y \ 1). x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). (x * y) * z != u | (x * (y * z)) * a(x,y,z) = u. (x * (y * (y \ 1))) * a(x,y,y \ 1) = R(x,y,y \ 1). (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x \ R(x,y,y \ 1) = a(x,y,y \ 1). (x * y) \ (x * R(y,z,z \ 1)) = L(a(y,z,z \ 1),y,x). x \ R(x,y,y \ 1) != z | z = a(x,y,y \ 1). x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. x * y != z \ R(z,u,u \ 1) | x \ a(z,u,u \ 1) = y. R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. 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). T(x * (y \ 1),z) = R(T(x / y,z),y,y \ 1). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). (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 * (u * T(w,u)) | (z * (w * u)) / y = x. (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). x * y != x / z | L(y \ 1,y,x) = z. x / y != x * z | L(z \ 1,z,x) = y. (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). ((x * y) \ x) * z != u | L(y \ 1,y,x) * z = u. x != (y * z) * T(L(u,z,y),w) | y * (z * T(u,w)) = x. x * (y * T(y \ 1,x)) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). L(x * T(x \ 1,y),y,1 / y) = ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. x / L(y,z / y,u) != u * (z / y) | u * z = x. (x / ((y / z) * z)) * y = 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 * z) / y)) / x = (y * ((x * z) / x)) / y. (x * y) * z != (T(u / x,w) * x) * y | T((x * y) \ (u * y),w) = z. T((x * y) \ (z * y),u) = R(T(T(z / x,u),x * y),x,y). 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) = R(T(x,y * x),y,x). R(T(x,y * x),y,x) = T(x,y). T(x \ (((x / y) * z) * y),x / y) = R(T(z,(x / y) * y),x / y,y). R(T(x,y),y / x,x) = T(x,y / x). T(x,y) != R(z,y,x) | T(x,y * x) = z. R(x,y,z) != T(z,y) | T(z,y * z) = x. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). T(x * T(x \ y,z),y) = T(x,y) * T(T(x,y) \ y,z). T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). (x * y) * T((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). R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. (R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * y) * R((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). (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 * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. 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 != (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). x * (y \ ((x \ y) * x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). ((x \ y) * x) * (y \ x) = x * K(x \ y,x). (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). (x * y) * ((y * x) \ y) = y * K(x,y). x * y != (z * u) * ((u * z) \ u) | x \ (u * K(z,u)) = y. x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). (x * ((y / z) / 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 * x) != z | R(1 / y,y,x) = z. L(x,y,1 / y) != z | (1 / y) * (y * x) = z. (x * y) / ((z * x) * y) = R(R(1 / z,z,x),z * x,y). R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). ((x * (y \ z)) * T(y,y \ z)) / z = R(x,y \ z,(y \ z) \ z). ((x * (y \ z)) * ((y \ z) \ z)) / z = R(x,y \ z,T(y,y \ z)). R(x,y \ z,T(y,y \ z)) = ((x * (y \ z)) * ((y \ z) \ z)) / z. (x \ y) / y = R(1 / x,x,x \ y). R(1 / x,x,x \ y) = (x \ y) / y. T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). (x * (y * 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 | y * T(z,y) = x. x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). (x * (x \ 1)) * y != z * u | z \ y = u. (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (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 * (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 * (x / y)) != z | K(y,x / y) = z. (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) != u | K(L(x,y,z) \ 1,x) = u. L(x \ T(x,y),x,y) != z | K(x,y) = z. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. 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 * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). 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). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),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). L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. R(1 / x,x,y) * z = (y / (x * y)) * z. T(x / (y * x),z) = R(T(1 / y,z),y,x). R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x). R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). (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 / (y * x)) * y = y * R(y \ 1,y,x). ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). ((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)) * ((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 * (z * ((y * (z \ (y \ u))) / y)) | (y * ((u / z) / y)) * z = x. (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = (x * (R(u / z,z,u \ y) / x)) * (z * (u \ y)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. (x * (x \ y)) * z != u * w | u \ (y * z) = w. T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)). L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). x * y != z * T(u,z * u) | x \ ((u * (z * u)) / u) = y. x \ ((y * (x * y)) / y) = T(y,x * y). x \ ((y * (x * y)) / y) != z | z = T(y,x * y). x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. (L(x,y,z) * u) * x = (u * x) * L(T(x,u),y,z). (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. x * y != z * T(u,u \ w) | (z * ((u \ w) \ w)) / y = x. ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). x / L(y \ z,y,x / z) = (x / z) * y. (x * (x \ y)) \ z != u | u = y \ z. (x * (x \ y)) \ z != u | y \ z = u. (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). K(x,1) = 1. (x * y) / x = T((x * y) / x,T(y,z)). T((x * y) / x,T(y,z)) = (x * y) / x. K(x \ 1,x) != y | (x \ 1) * x = y. K((x \ y) \ 1,y \ x) = 1. x \ y != z | z = T(y / x,x). x * (y * z) != u | x * (z * T(y,z)) = u. K(T(x,y),x) = 1. K(x,(y * x) / y) = 1. T(x,(y * x) / y) = x. T(x \ y,y / x) = x \ y. T(x,x * (y * T(y \ 1,x))) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x,x * K(y,x)) = x. x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u). ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). (1 / T(x,y)) * x != z | x / T(x,y) = z. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. (x / (y \ x)) \ z != u | y \ z = u. x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. T(x,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). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). (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). T(x,y) / (y \ x) = (x * y) / x. ((x * y) / x) \ T(x,y) = y \ x. (x / (x / y)) * (y \ (x / y)) = T(x / y,y). ((x * (x / y)) / x) * y = T(x,x / y). 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) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * 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. T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). T(x,x / (x / y)) * (x \ y) = (x * y) / x. T(x,x / (x / T(y,x))) * T(y,x) = x * y. x * (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). ((x * y) / x) / (x \ y) = T(x,x / (x / y)). x * (y * ((x \ y) / y)) = T(y,y / (x * y)). x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. T(x \ T(y,y / x),y) = x \ y. x != y \ z | T(z / y,y) = x. T(x / y,y) = T(y \ T(x,x / y),x). T(x \ T(y,y / x),y) = T(y / x,x). T((x \ y) \ T(y,x),y) = (x \ y) \ y. T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(x,y) = T(T(x,y),x * (T(x,z) \ x)). T(T(x,y),x * (T(x,z) \ x)) = T(x,y). T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. (x / T(x,y)) * x = x * (T(x,y) \ x). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. T(x / T(x,y),x) = T(x,y) \ x. T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. 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). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). T(x,y) * T(T(x,y) \ x,x) != z | (T(x,y) \ x) * T(x,y) = z. (T(x,y) \ x) * T(x,y) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / 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 * z) * (z \ u)) / u | R(y,z,z \ u) = x. R(x,y \ z,(y \ z) \ z) = R(x,y \ z,T(y,y \ z)). R(x,y \ z,T(y,y \ z)) = R(x,y \ z,(y \ z) \ z). 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). x * y != R(z,u,u \ w) * w | x \ ((z * u) * (u \ w)) = y. x \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ 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. T(((x \ y) * x) / (x \ y),y) != z | L(x,x \ y,x) = z. L(x,x \ T(x,y),x) = ((x \ T(x,y)) * x) / (x \ T(x,y)). ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). 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). L(x,y \ 1,y) = x / a(y,y \ 1,x). x / a(y,y \ 1,x) = L(x,y \ 1,y). L(x,y \ 1,y) \ x = a(y,y \ 1,x). L(x,y \ 1,y) \ x != z | z = a(y,y \ 1,x). L(x,y \ 1,y) \ x != z | a(y,y \ 1,x) = z. L(x,y,z) \ x != u | x * (L(x,y,z) \ 1) = u. x * (L(x,y \ 1,y) \ 1) = a(y,y \ 1,x). (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,(x \ 1) \ y). a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). x \ (x * y) != z * u | z \ y = u. x \ (x * y) != z * u | y / u = z. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). T(x,y) * z != T(x,y) / x | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). (T(x,y) / x) / T(x,y) = 1 / x. x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. (1 / x) * ((x \ y) \ y) = T(x,x \ y) / x. T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). R(x,y,z) = ((1 / x) * R(x,y,z)) * x. ((1 / x) * R(x,y,z)) * 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 / R(y,z,u)) * y) \ (x * y) = R(y,z,u). 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 * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. x != y \ (z * y) | T(z,y) = x. 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). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). x * y != R(z,u,w) * x | R(T(z,x),u,w) = y. R(T(x,x * y),y,T(x,y)) = T(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 / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)). ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(y,y \ 1,x)) / x != z | z = y \ ((x * y) / x). T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. 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). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). 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 \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x * K(y,x)) * (x \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). (x \ 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 != 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. (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. x * y != z * (x * L(x \ (z \ u),w,v5)) | T(z * L(z \ (u / x),w,v5),x) = y. T(x * L(x \ (y / z),u,w),z) = z \ (x * (z * L(z \ (x \ y),u,w))). x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),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. K(x \ ((y \ z) \ z),u) = K(x \ T(y,y \ z),u). K(x \ T(y,y \ z),u) = K(x \ ((y \ z) \ z),u). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (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). R(x / 1,y,z) / x = R(1 / (1 / x),y,z) * (1 / x). R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. ((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,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). T(x,x / (x / T(y,x))) != z | (x * (x * y)) / (y * x) = z. (x * (x * y)) / (y * x) = (x / T(y,x)) * y. x / (y * z) != u | R((x / z) / y,y,z) = u. R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). T(x * 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 * (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)). (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). 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,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). 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). (x * y) * R((x * y) \ y,z,u) != w | (x * R(x \ 1,z,u)) * y = w. (x * R(x \ 1,y,z)) * (x * u) = x * ((x * u) * R((x * u) \ u,y,z)). x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). 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 * (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 * ((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 != y * L(y \ z,u,w) | L(z / y,u,w) * y = x. L(x / (y \ 1),z,u) * (y \ 1) = y \ L(L((y \ 1) \ x,z,u),y \ 1,y). x \ L(L((x \ 1) \ y,z,u),x \ 1,x) = L(y / (x \ 1),z,u) * (x \ 1). x \ L(y,x \ 1,x) != (x \ 1) * z | y = z. x \ L(1 \ (x * y),z,u) = L(y / (x \ 1),z,u) * (x \ 1). L(x / (y \ 1),z,u) * (y \ 1) = y \ L(1 \ (y * x),z,u). L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,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 \ (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(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). ((x \ 1) * x) \ x = T(x,x \ 1). (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) * z = y * (((x * y) / x) * (y \ z)). x * (((y * x) / y) * (x \ z)) = ((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 != z * (u * (u \ 1)) | x \ z = y. ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. x * y != z \ (u * 1) | x \ (z \ u) = y. x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. (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). (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) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). T(x,y) * L(T(x,y) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. T(x * L(x \ (y / z),u,w),z) = T(x,z) * L(T(x,z) \ (z \ y),u,w). T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). T(x,y) * L(T(x,y) \ z,u,w) = T(x * L(x \ ((y * z) / y),u,w),y). T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). T(x,y / x) != R(z,y / x,x) | T(x,y) = z. R(x,y / z,z) != T(z,y / z) | T(z,y) = x. R(x,1 / x,x) = T(x,1 / x). 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). 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((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 / x) * y)) / x = L(y / x,x,1 / x). (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. (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). 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). (1 / x) * ((T(x,y) \ 1) * x) = T((1 / x) * (T(x,y) \ x),x). T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ ((y * (y \ x)) * ((y \ x) \ z)). x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). x \ (y * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). 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 * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,(x * y) \ 1). (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 * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). x != y * ((y \ z) * T(u,z)) | L(u,y \ z,y) * z = x. L(x,y \ z,y) * z = (x * z) / a(y,y \ z,T(x,z)). (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). x != L(y \ z,y,u) | (u * y) \ (u * z) = x. (x * (y * z)) \ (x * y) = L(L(z \ 1,y * z,x),z,y). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). 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(T((x \ 1) \ y,z),x \ 1,x) != u | T(x * y,z) = u. T(x * y,x \ 1) = x * (((x \ 1) \ y) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). (x * y) \ ((x \ 1) \ y) != z | a(x,x \ 1,(x \ 1) \ 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 * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). ((x * (y * z)) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. T(x,x / (1 / y)) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x / (1 / y)). (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). R(T(x,x / (1 / y)),y,x) = (x / T(y,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)). x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. 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. T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). T(x * y,x) = R(x,y,x) * T(y,x). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). x * y != R(T(z / u,w),u,u \ 1) | T(z * (u \ 1),w) / y = x. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x * T(x \ y,z) = T(y * (x \ 1),z) / (x \ 1). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). x != (y \ 1) * T((y \ 1) \ z,u) | y \ T(y * z,u) = x. x \ T(x * y,z) = T(y * ((x \ 1) \ 1),z) / ((x \ 1) \ 1). T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). (x * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). K(x,x * L(x \ 1,y,z)) = 1. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,x \ L(x,y,z)) = x \ 1. (x \ y) * (y \ x) = L(y \ x,x \ y,y \ x) * (x \ y). L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). (1 / x) * (R(x,y,z) \ x) = L(R(x,y,z) \ 1,x,1 / x). L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). K(x,1 / x) != y | x * (1 / x) = y. (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). 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). 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 / y) * (y / x) = (y / x) * R((y / x) \ 1,y / x,x). (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). x != 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). 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). T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),x / y,y). (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). x \ T(y,z) != z \ y | (y * z) / y = x. ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x * y,x) / y,x * y) = x. 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(R(T(x,x * y),y,y \ 1) / (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). x != ((y * z) / y) * (z \ 1) | z \ ((y * z) / y) = x. x \ ((y * x) / y) = (x \ 1) * ((y * ((x \ 1) \ 1)) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * 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 * (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). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. 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). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),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 * T(x \ 1,z),y) = T(T(x,y) \ 1,z). K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). T((x \ 1) * x,y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T((x \ 1) * x,y). T(K(x \ (x / y),x),z) = K(x \ (x / T(y,z)),x). T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). x * y != R(R(z / u,w,v5),u,u \ 1) | R(z * (u \ 1),w,v5) / y = x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z). x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). x != 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). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). T(x,y) \ R(x,z,u) = R(x,z,u) * (T(x,y) \ 1). R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). x * y != z * ((u * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x != y * ((1 / z) * z) | y = x. x \ 1 = (1 / x) * ((x \ 1) * x). (1 / x) * ((x \ 1) * x) = x \ 1. x * y != z * ((1 / u) * u) | x \ z = y. (1 / x) \ (x \ 1) = (x \ 1) * x. (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). (x * y) * (x \ 1) = T((x * y) * (x \ 1),y). T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). K((x * y) * (x \ 1),y) = 1. K(((1 / x) * y) * x,y) = 1. K(x * y,(1 / y) \ x) = 1. T(x * y,(1 / y) \ x) = 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). (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. x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((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). (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). T(x,y) != T(y \ z,u) | T(z / y,u) = x. T(T(x,x / y) / y,x) = x / y. x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). 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)). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). x * y != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x. K((x * y) \ x,x * y) / y = T(1 / y,x * y). 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 != T(y,z) * R(T(y,z) \ 1,u,w) | T(y * R(y \ 1,u,w),z) = x. T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). ((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 * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (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). R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,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)). T(x * K(y,x),x) = x * K(y,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). (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. x * K(x \ 1,x) = L(x,x \ 1,x). K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). T(x,(x \ 1) * x) = x. T(x \ 1,x \ T(x,y)) = x \ 1. T(1 / x,T(x,y) / x) = 1 / x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). R(x,x \ 1,x) = T(x,x \ 1). T(x,K(x \ 1,x)) = x. K(((x * y) \ x) \ 1,y) = 1. x \ (x * y) = L(y,1,x). x = L(x,1,y). L(x,1,y) = x. L(x,1,y) != z | z = x. x \ (x * y) = L(y,1,z). L(x,1,y) = z \ (z * x). 1 = R(1,x,y). R(1,x,y) = 1. (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | z * ((y * (z \ 1)) / y) = x. T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(x * (1 / x),y) = K(x,(x / T(x,y)) / x). K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x,(y / (x * y)) * x) = x. T(x / y,(y / x) * (x / y)) = x / y. x != L(y \ 1,y,z) * u | ((z * y) \ z) \ x = u. L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). 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). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. T(x,y) * (x \ z) != u | x \ (T(x,y) * z) = u. T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. (((x / y) / z) * z) * y != u * w | x / w = u. T(x,y) \ x != z | x * (T(x,y) \ 1) = z. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. K(x,y) = (y * K(x,y)) * (y \ 1). (x * K(y,x)) * (x \ 1) = K(y,x). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. ((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. T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). 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)). 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. K(x,1 / ((y * x) / y)) = ((y * x) / y) * ((x * (((y * x) / y) \ 1)) / x). ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((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 \ (((y * x) / y) * z) != u | u = ((y * x) / y) * (x \ z). x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). x \ ((x * (y * T(y \ 1,x))) \ x) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). (x * (y * T(y \ 1,x))) \ 1 = x \ ((x * (y * T(y \ 1,x))) \ x). x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. (L(x,y,z) / x) / L(x,y,z) = 1 / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). L(x,y,z) * u != L(x,y,z) / x | T(1 / x,L(x,y,z)) = u. L(x,y,z) / x != L(x,y,z) * u | T(1 / x,L(x,y,z)) = 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) * ((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)). 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 \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). x \ T(L(x,y,z),u) = T(L(x,y,z),u) * (x \ 1). T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). (1 / x) \ (x \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). x * T(x \ T(x,y),x) = (1 / x) \ (x \ T(x,y)). (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). (x \ T(x,y)) * x = (1 / x) \ (x \ T(x,y)). (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. 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). T(x * y,(x \ 1) \ y) = x * y. (x * y) / y = R(x,1,y). R(x,1,y) = x. (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). L(x,y,z) * (1 / L(x,y,z)) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. K(x,(y \ z) \ z) = K(x,T(y,y \ z)). K(x,T(y,y \ z)) = K(x,(y \ z) \ 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 \ x,y,z) = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). x != L(1,y,z) | 1 = x. 1 = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. x * 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. 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). T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(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 / 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). T(x,y) * z != T(x * (1 / x),y) | (1 / x) * (T(x,y) \ x) = z. (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. (T(x,y) \ x) * z != (T(x,y) \ x) / x | T(1 / x,T(x,y) \ x) = z. T(1 / x,T(x,y) \ x) = (T(x,y) \ x) \ ((T(x,y) \ x) / x). (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). x \ (T(x,y) \ x) = (1 / x) * ((T(x,y) \ 1) * x). (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). x != y \ (T(y,z) \ y) | T(y,z) \ 1 = x. T(x,y) \ 1 = (1 / x) * ((T(x,y) \ 1) * x). (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. T(x,y) * (1 / T(x,y)) = T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). x != T(y,y \ z) | (y \ z) \ z = x. (x \ 1) \ 1 = R(x,x \ 1,x). R(x,x \ 1,x) = (x \ 1) \ 1. T(x,x \ 1) \ x = (x \ 1) * x. R(x,x \ 1,x) != y | x / K(x \ 1,x) = y. x / K(x \ 1,x) = (x \ 1) \ 1. K(x \ 1,x) \ 1 = K(x,x \ 1). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),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(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(x \ 1,x) \ x = T(x,x \ 1). (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. L(T(x \ 1,x),x,1 / x) = x \ 1. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. K(x \ 1,x) = (1 / x) \ (x \ 1). (1 / x) \ (x \ 1) = K(x \ 1,x). T(x \ T(x,y),x \ 1) = x \ T(x,y). (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. x * y != T(x,x \ 1) \ x | T(x \ 1,x) = y. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). ((x \ 1) \ 1) * K(x \ 1,x) = x. (x \ 1) \ 1 = K(x \ 1,x) \ x. K(x \ 1,x) \ x = (x \ 1) \ 1. x * y != (1 / z) * K(z \ 1,z) | x \ (z \ 1) = y. x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). (x \ 1) \ 1 = T((1 / x) \ 1,1 / x). T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. K(x \ 1,x) * ((x \ 1) \ 1) = x. T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). x != K(y \ (y / T(z \ 1,u)),y) | T(z \ T(z,y),u) = x. T(x \ T(x,y),x) = T(x \ T(x,y),T(x,x \ 1)). T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),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). T(x / (y * x),y * (x / (y * x))) = x / (y * x). R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). T(x \ 1,y) = T(T(x \ 1,y),x \ R(x,z,u)). T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). 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(K(x \ y,x),z) = K(x \ (x / T(y \ x,z)),x). K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). K(x \ (x / (((y \ x) \ z) \ z)),x) = T(K(x \ y,x),(y \ x) \ z). T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). (((x * y) / 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. 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). ((x * y) / x) * (y \ 1) != z | y \ ((x * y) / x) = z. ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * y != x * (x * T(x \ T(z,x),x)) | T((x \ z) * x,x) = y. 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 \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). x * (T(y,x) / x) = T(x * (y / x),x). x \ T(x * y,x) = T(y * x,x) / x. T(x * y,y) / y = y \ T(y * x,y). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). x \ T(x * L(y / x,z,u),x) != w | L(T(y,x) / x,z,u) = w. 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 \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). x * (T(y * x,x) / x) = T(x * y,x). x * T(1 / x,y) = T(x * T(1 / x,y),x). T(x * T(1 / x,y),x) = x * T(1 / x,y). 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). 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 * y) * (1 / x),x) != z * (1 / x) | y * x = z. T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). x * K(y,(y / (x \ 1)) / y) = (y * x) / y. K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(R(x,y,z),x \ 1) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | u = K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. x * y != z \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x \ 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 * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). x / (y / z) = ((x / (z \ y)) / (y / z)) * (z \ y). ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). x \ y != T(z,x) | z * 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)). (1 / T(x,y)) * T(T(x,z),u) = T((T(x,z) / T(x,y)) * T(x,y),u) / T(x,y). T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). T(T(x,y),z) / T(x,u) = (1 / T(x,u)) * T(T(x,y),z). (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). (x \ 1) * T(T(x,y),z) = T(T(x,y),z) / T(x,x \ 1). T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). x != y * T(T(z,y),u) | T(z,u) * y = x. T(x,y) * (x \ 1) = T(T(x,x \ 1),y) / T(x,x \ 1). T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). x != T(y,z) * (y \ 1) | y \ T(y,z) = x. x \ T(x,y) = T(T(x,x \ 1),y) / T(x,x \ 1). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). K(T(x,y),1 / T(x,z)) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). T(x,1 / x) = (x \ 1) \ 1. x != (y \ z) \ z | T(y,y \ z) = x. T(x,x \ 1) = T(x,1 / x). T(x,1 / x) = T(x,x \ 1). T(x,1 / x) != y | R(x,1 / x,x) = y. R(x,1 / x,x) = (x \ 1) \ 1. ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). ((x \ 1) \ 1) / x = K(x,1 / x). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). T(x,x \ 1) / x = K(x,1 / x). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). T(x,x \ 1) = R(x,1 / x,x). 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). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. 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,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). R(x \ 1,T(x,y),x \ 1) = T(x \ 1,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. 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 != T(y * T(1 / y,z),y) | y * T(1 / y,z) = x. x * T(1 / x,y) = T(x,T(1 / x,y)) * T(x \ 1,y). T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). x != y * T(y \ (z * y),u) | T(z,u) * y = x. T(x,y / (x * y)) * y = K((y / (x * y)) \ 1,y / (x * y)) * (x * y). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * (z / z),y)) * z. (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). (x \ T(x * 1,y)) * z = (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. x * y != z * (z \ x) | 1 = y. 1 = (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))). (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. (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)). K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. 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)). 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)). L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(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. 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)). 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 \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). K(x \ y,((x \ y) / ((y \ x) \ 1)) / (x \ y)) = ((y \ x) \ 1) * ((((y \ x) \ 1) \ (x \ y)) / (x \ y)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * ((y * ((x * y) \ x)) / y)) / x. ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). x * y != T((z * u) / z,z) | u / y = x. x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y). (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). T(T(x,y * x) * y,x) = 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). x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. x * ((y * (x \ 1)) / y) = (y * ((x \ y) / y)) / (x \ y). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). 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. 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. 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 * ((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. ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). 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 / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((T(x,y) \ x) / x) * K(x \ 1,x) = (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x). (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). (x \ 1) * (T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). x != y * (z * T(u,z)) | y * (u * z) = x. x * ((y \ 1) * y) = ((x / y) * K(y \ 1,y)) * y. ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). x * y != R(z,u,y) * (u * y) | z * u = x. x * (y \ 1) = (R(x,y \ 1,y) / y) * K(y \ 1,y). (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (x / (x / y)) * (y \ 1) != z | y \ (x / (x / y)) = z. x \ (1 / (1 / x)) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = x \ (1 / (1 / x)). (1 / (x / (x / y))) * y = ((x / y) \ x) / (x / (x / y)). ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 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). (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | K(z,y) = x. K(x,y) = (((y * x) \ y) \ K(x,y)) / (((y * x) \ y) \ 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). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). 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)). T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). ((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 \ 1) \ 1) / x != y | K(x,1 / x) = y. K(x,1 / x) = (x \ 1) \ (1 / x). (x \ 1) \ (1 / x) = K(x,1 / x). (1 / x) / K(x,1 / x) = x \ 1. T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. T(x,y) / x != z | (1 / x) * T(x,y) = z. x \ T(x,y) != z | T(x,y) * (x \ 1) = z. T(1 / (1 / x),x \ 1) = x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(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. (x \ 1) * x = (1 / (1 / x)) * (x \ 1). (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. T(1 / (1 / (1 / 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). T(x,x \ 1) / x != y | K(x,1 / x) = y. K(x,1 / x) = K(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). K(x,x \ 1) * x = (x \ 1) \ 1. ((x \ 1) \ 1) / x != y | y = K(x,x \ 1). ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. K(x,1 / x) != y | K(x,x \ 1) = y. K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). K(x,x \ 1) = x * (1 / x). x * (1 / x) = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. K(T(x,y),T(x,y) \ 1) = T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). K(L(x,y,z),L(x,y,z) \ 1) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). K(R(x,y,z),R(x,y,z) \ 1) = 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) = K(R(x,y,z),R(x,y,z) \ 1). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1). x \ K(x,x \ 1) = 1 / x. K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). K(x,x \ 1) \ 1 = K(1 / x,x). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). (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 * y != ((z \ u) * z) * K(z,z \ u) | u / y = x. 1 / x = (x \ 1) * K(x,x \ 1). (x \ 1) * K(x,x \ 1) = 1 / x. (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. K(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). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,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) * 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). x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). (1 / x) \ (y * K(1 / x,x)) = ((1 / x) \ y) * K(1 / x,(1 / x) \ 1). ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). (x * y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)). (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). 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. 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(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). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). (1 / (x / y)) * (y \ x) != z | (y \ x) / (x / y) = z. (x \ 1) / (1 / x) = (x \ 1) * x. L(x \ 1,x,x \ 1) = 1 / x. K(x \ 1,x) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = K(x \ 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 * (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 * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * y != (x * z) * L(u,z,x) | 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. 1 / x != K(x,x \ 1) * y | x \ 1 = y. K(x,x \ 1) * y != 1 / x | x \ 1 = y. R(1 / x,y,z) / (x \ 1) = x * R(x \ K(x,x \ 1),y,z). x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). x * R(1 / x,y,z) = R(1 / x,y,z) / (x \ 1). R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). (x / y) / ((y / x) \ 1) = (y / x) * R(1 / (y / x),y / x,x). (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). (x / y) * (y / x) = (y / x) / ((x / y) \ 1). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). ((x / y) * (y / x)) * ((x / y) \ 1) = 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 \ 1) = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). x * ((x \ y) / y) = ((x \ y) / y) / (x \ 1). ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. x != (y \ z) / z | R(1 / y,y,y \ z) = x. R(1 / x,x,x \ y) = (x * ((x \ y) / y)) * (x \ 1). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). 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). K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. L(x,y,K(x,x \ 1)) = x. R(T(x,x \ 1),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * ((y \ 1) \ K(y \ 1,y))) / x). (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). K(x \ 1,x) * (1 / x) = x \ 1. (x \ 1) / (1 / x) != y | K(1 / x,1 / (1 / x)) = y. K(1 / x,1 / (1 / x)) = K(x \ 1,x). (x \ 1) / (1 / x) != y | x \ (1 / (1 / x)) = y. x \ (1 / (1 / x)) = K(x \ 1,x). (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. x * K(x \ 1,x) = 1 / (1 / x). x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). T(x / (y * x),y) != z | R(x / (y * x),y,x / (y * x)) = z. R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). x * y != T(z / (u * z),u) | R(u \ 1,u,z) / y = x. R(x \ 1,x,y) / (y / (x * y)) = K(x \ (x / (1 / (y / (x * y)))),x). K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). K(x,x \ 1) != y | x * (1 / x) = y. x * K(x \ 1,x) != y | 1 / (1 / x) = y. 1 / (1 / x) = L(x,x \ 1,x). L(x,x \ 1,x) = 1 / (1 / x). T(1 / (1 / x),y) = L(T(x,y),x \ 1,x). L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). K(x,1 / x) * L(x,1 / x,x) = x. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. (x \ 1) * ((y * x) / y) = ((y * x) / y) / ((x \ 1) \ 1). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * ((y * T(x,y)) / y). (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). (T(x,y) \ 1) * x = x / ((T(x,y) \ 1) \ 1). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. K(x,((T(x,y) \ 1) * x) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. (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. ((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)). R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x * y != L(T(z,u),z \ 1,z) | T(1 / (1 / z),u) / y = x. T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(1 / x,(1 / x) \ 1)). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. 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). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). x != ((T(y,z) \ y) / y) * K(y \ 1,y) | (y \ 1) * (T(y,z) \ y) = x. (x \ 1) * (T(x,y) \ x) = (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). (1 / x) * (K(x \ 1,x) * (x * y)) = K(1 / x,(1 / x) \ 1) * L(y,x,1 / x). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). L(K(x \ 1,x) * y,x,1 / x) = K(1 / x,(1 / x) \ 1) * L(y,x,1 / x). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). K(x \ 1,x) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). L(x,y,1 / y) * K(y \ 1,y) = L(x * K(y \ 1,y),y,1 / y). x != K((y / z) \ y,1 / z) | K(z,z \ 1) = x. K(x,x \ 1) = K(1 / (1 / x),1 / x). K(1 / (1 / x),1 / x) = K(x,x \ 1). K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. K(x,x \ 1) \ 1 = K(x \ 1,x). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ L(y,x,1 / x) != z | x * y = z. x * (y * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. (T(x,y) \ x) * K(x \ 1,x) = x * ((T(x,y) \ 1) * K(x \ 1,x)). x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). T(x,y) = R(T(x,y),z,K(x \ 1,x)). R(T(x,y),z,K(x \ 1,x)) = T(x,y). T(x,y) \ K(x \ 1,x) = (T(x,y) \ 1) * K(x \ 1,x). (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). x != y * (T(y,z) \ K(y \ 1,y)) | T(y,z) \ (1 / (1 / y)) = x. T(x,y) \ (1 / (1 / x)) = (T(x,y) \ x) * K(x \ 1,x). (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ 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 != K(y,y \ 1) | K(y,1 / y) = x. K(x,1 / x) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,1 / 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) \ 1,x \ 1) != y | K(x,x \ 1) = y. (1 / (x / (x / y))) * y != z | y / (x / (x / y)) = z. 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). T(L(x,1 / x,x),x \ 1) = x. K(x,1 / x) * (1 / (1 / x)) = x. 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. T(x,K(x,x \ 1)) = x. K(x,x \ 1) * L(x,y,z) = L(x,y,z) * K(x,x \ 1). L(x,y,z) * K(x,x \ 1) = K(x,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)). x * y != K(x,x \ 1) * z | K(x,x \ 1) * (x \ z) = y. 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,x \ 1) * (1 / (1 / x)) = x. x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). x != y * L(T(z,y),u,w) | L(z,u,w) * y = x. L(x \ 1,y,z) * x = (1 / x) \ L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). (x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. (1 / ((x * y) \ x)) \ y = (x \ (x * y)) * ((x * y) \ x). (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). 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)). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). x != y * (1 / y) | K(y,y \ 1) = x. K(x \ y,(x \ y) \ 1) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). x * ((y * x) \ y) = (1 / ((y * x) \ y)) \ x. (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. x * 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 * 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. 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 \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). x * y != (z * u) \ z | L(u \ 1,u,z) / y = x. L(x \ 1,x,y) / (1 / x) = L(x \ 1,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). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). ((x \ 1) * x) * 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). T(x,K(x \ 1,x) * y) = T(x,y). L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(y \ x,x \ y,1 / (x \ y)). (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). (x \ y) \ L(1 / (y \ x),y \ x,y) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). 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 * 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). T(x,x / (y \ 1)) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). T(x,x / (y \ 1)) != z | T(x,y * x) = z. x * y != L((z * (u \ w)) / z,u,1 / u) | x \ ((z * ((1 / u) * w)) / z) = y. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). x != L(1 / (y \ z),y \ z,y) * ((z \ y) \ 1) | (z \ y) \ L(1 / (y \ z),y \ z,y) = x. (x \ y) \ L(1 / (y \ x),y \ x,y) = ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) != z | K(y \ x,x \ y) = z. K(x \ y,y \ x) = (y \ x) \ L(1 / (x \ y),x \ y,x). (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). ((x * y) * L(1 / y,y,x)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) != z | K(y,1 / ((x * y) / x)) = z. K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. (x * K(y,y \ 1)) / x = K(y,1 / ((x * y) / x)). (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). K(x,x \ 1) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. T(x,x \ 1) = x * K(x,x \ 1). x * K(x,x \ 1) = T(x,x \ 1). (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. 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,x \ 1) = x. R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. L(T(x \ T(x,y),x),x,y) = T((y * x) \ (x * y),T(x,x \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). 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(T(y \ T(z,u),w),y,u) | T((u * y) \ (z * u),w) = x. T((x * y) \ (y * x),y) = T((x * y) \ (y * x),T(y,y \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). T(K(1 / x,y),x \ 1) = T(K(1 / x,y),1 / x). T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / 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) != z | K(x,y) * (x \ 1) = z. (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. 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. T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,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. T(1 / x,x) = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = T(1 / x,x). x != T(y / z,z) | z \ y = x. x \ 1 = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = x \ 1. T(K(x,y),y \ 1) = K(x,y). T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != L((y \ z) \ 1,y \ z,y) | z \ y = x. x \ y = T(x \ y,K(z,y \ x)). T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). T(K(T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). x != T(K(T(y,z),1 / y),z) | K(T(y,z),T(y,z) \ 1) = x. K(T(x,y),T(x,y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). x * y != K(x,x \ 1) | 1 / x = y. 1 / T(x,y) = (T(x,y) / x) \ (1 / x). (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (T(x,y) / x) * (1 / T(x,y)) = 1 / x. (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x \ 1,y) = T(1 / x,y) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). 1 / (1 / x) != y | x * K(x \ 1,x) = y. T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. (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). T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. (((x / y) \ 1) \ 1) * y != z | z = y * (((y \ x) \ 1) \ 1). (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). 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). R(1 / x,x,1 / x) = x \ 1. (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). T(x * (y / (x * y)),x) = x * R(1 / x,x,y). T(x * (y / (x * y)),x) = x * (y / (x * y)). T(x * (y / (x * y)),x) != z | T(x,y / (x * y)) * R(x \ 1,x,y) = z. T(x,y / (x * y)) * R(x \ 1,x,y) = 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 * x),(x / (y * x)) * y) = x / (y * x). 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((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). T(x,R(x \ 1,x,y)) = T(x,y / (x * 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)). 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 / 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). 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 != R(x,z,z \ 1) | a(x,z,z \ 1) = y. a(1 / x,y,y \ 1) = x * R(x \ 1,y,y \ 1). x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). (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. (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 * ((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(1 / ((x \ y) / y),x * ((x \ y) / y)) != z | 1 / ((x \ y) / y) = z. 1 / ((x \ y) / y) = (x * ((x \ y) / y)) \ x. (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. K(1 / (x / y),(y / x) * (x / y)) = 1. K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. 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). (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. 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(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). (x \ 1) \ 1 = T(x,y / (x * y)). T(x,y / (x * y)) = (x \ 1) \ 1. x * y != T(z,z \ 1) | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. 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). T(x / y,y / x) = ((x / y) \ 1) \ 1. ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). T(x,x \ 1) = T(x,y / (y * x)). T(x,y / (y * x)) = T(x,x \ 1). T(x,((y * x) / y) \ 1) != z | (x \ 1) \ 1 = z. (x \ 1) \ 1 = T(x,y / (y * x)). T(x,y / (y * x)) = (x \ 1) \ 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. (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)). T(x \ y,x / y) = ((x \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 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). R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. x != L(y / z,u,w) * z | z * L(z \ y,u,w) = x. x * L(x \ y,z,u) = L(y * (x \ 1),z,u) / (x \ 1). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). 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. (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 * (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. x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. 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 \ (y * (z * (y \ x))) = T(L(z,y \ x,y),y \ x). T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x \ R(x,1 / y,y) = a(x,1 / y,y). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,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). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). x != L(K(L(y,z,u),1 / y),z,u) | K(L(y,z,u),L(y,z,u) \ 1) = x. K(L(x,y,z),L(x,y,z) \ 1) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). 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. L(x,y,z) \ 1 = 1 / L((x \ 1) \ 1,y,z). 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). 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)). (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 != 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(x,T(x,y) \ 1) = (x \ 1) \ 1. x != (y \ 1) \ 1 | y * K(y,y \ 1) = x. x * K(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). 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. (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. 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)). 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. (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,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 * y != T(x,T(x,z) \ 1) | K(x,x \ 1) = y. K(x,x \ 1) = T(K(x,x \ 1),y). T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. K(T(x,y),1 / x) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. T(x,K(y,1 / y)) = x. T(x,K(y \ 1,y)) = x. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). T(K(x \ 1,x),y) = K(x \ 1,x). x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. (x \ 1) * (x * y) = L(y,x,x \ 1) * K(x \ 1,x). L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). 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). K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). (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) \ ((y * (x \ 1)) * x) = a(y,x \ 1,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)). ((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 \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = 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)). 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). x * (y * K(z \ 1,z)) != u | x * (K(z \ 1,z) * y) = u. x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. T((x \ 1) * x,y) = K(x \ 1,x). L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). x * (y * K(z \ 1,z)) != (x * y) * u | K(L(z,y,x) \ 1,z) = u. (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. 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(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). x * y != z * K(z \ (z / T(z,u)),z) | x \ (1 / (1 / z)) = y. T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). T(x,y) \ 1 = (x \ 1) * (T(x,y) \ x). (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. x * y != (1 / z) * ((T(z,u) \ 1) * z) | x \ (T(z,u) \ 1) = y. (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. (x \ 1) \ (T(x,y) \ 1) != z | (x \ T(x,y)) \ 1 = z. (x \ T(x,y)) \ 1 = T(x,y) \ x. x \ (T(1 / x,y) \ 1) = T(1 / x,y) \ (1 / x). T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). (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 * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. 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. T(1 / x,y) \ (1 / x) != z | (x * T(x \ 1,y)) \ 1 = z. (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). (x \ (y * T(y \ x,z))) \ 1 = (x \ y) \ (T(1 / (x \ y),z) \ 1). (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,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) * (x * L(x \ 1,y,z)) != u | L(x \ 1,y,z) / (1 / x) = u. L(x \ 1,x,y) / (1 / x) = (x * ((y * x) \ y)) * K(x \ 1,x). (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 != L(y \ 1,y,z) | (z * y) \ z = x. (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). 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. K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) / 1 = x. T(1 / (1 / x),(y * x) \ y) = x. T(1 / (1 / (x \ y)),y \ x) = x \ y. T(x,x \ 1) = T(x,(y * x) \ y). T(x,(y * x) \ y) = T(x,x \ 1). (x \ y) * (y \ x) = (1 / (1 / (y \ x))) * (x \ y). (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). (x \ y) \ 1 = 1 / T(x \ y,y \ x). 1 / T(x \ y,y \ x) = (x \ y) \ 1. x * (y \ z) != (y \ z) * (z \ y) | L(z \ y,y \ z,z \ y) = x. L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). x * (y \ z) != (y \ z) * (z \ y) | L(1 / (y \ z),y \ z,y) = x. L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). 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 \ y) \ 1) \ 1 = T(x \ y,y \ x). T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(K(x \ y,x),(y \ x) \ 1) = K(x \ (x / T(y \ x,x \ y)),x). K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). (x * (1 / (1 / K(y,(y / (x \ 1)) / y)))) / ((y * x) / y) = K(((y * x) / y) \ x,1 / (x / ((y * x) / y))). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). L((x * y) \ x,y,(z * y) \ z) != u | L(1 / y,y,x) = u. L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). L(1 / (x \ y),x \ y,x) != z | (y \ x) * K(x \ y,y \ x) = z. (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). x * y != 1 / (1 / x) | K(x \ 1,x) = y. K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). x != K(y \ (y * z),u) | K(z,u) = x. K(x,(y * x) \ y) = K(((y * x) \ y) \ 1,(y * x) \ y). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). T(x,K(y \ z,z \ y)) = x. (x * K(y \ z,z \ y)) / x != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). T(x / y,x \ y) = ((x / y) \ 1) \ 1. K(x \ (x / T(y \ x,z)),x) != u | T(K(x \ y,x),z) = u. T(K(x \ y,x),x \ y) = T(K(x \ y,x),(y \ x) \ 1). T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). T(K(x,y),((y * x) \ y) \ 1) = T(K(y \ (y * x),y),y \ (y * x)). T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). T(K(x,y),y \ (y * x)) = T(K(x,y),((y * x) \ y) \ 1). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). T(K(x,y),((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)) = T(K(y,x),y). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. x != ((y \ 1) \ 1) / y | K(y,y \ 1) = x. K(x,x \ 1) = K(x,(y * x) \ y). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). K(x,(y * x) \ y) \ 1 = K(x \ 1,x). T(K(x,(y * x) \ y),z) = K(x,x \ 1). (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). x * y != (z * u) * K(u,u \ 1) | x \ (z * T(u,u \ 1)) = y. (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. L(x,K(x,x \ 1),y) = x. x / y = (x / T(y,y \ 1)) * K(y,y \ 1). (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. L(1 / x,K(x \ 1,x),y) = 1 / x. (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). x != y * T(z,z \ u) | y * ((z \ u) \ u) = x. x * ((y \ 1) \ 1) = (K(y,y \ 1) * x) * y. (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). x * y != (T(z,u) \ 1) * ((z \ 1) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,x \ 1). (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. (T(x,y) \ 1) * z != (T(x,y) \ x) / x | K(x,T(x,y) \ 1) = z. K(x,T(x,y) \ 1) = K(x,x \ 1). x != K(y,y \ 1) | T(K(y,y \ 1),z) = x. T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). x * ((T(y,x) \ 1) \ 1) = (y * x) * K(T(y,x),T(y,x) \ 1). (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 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). 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 * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). x != y * ((T(z,y) \ 1) \ 1) | ((z \ 1) \ 1) * y = x. ((x \ 1) \ 1) * y = (x * y) * K(T(x,y),1 / x). (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). x != K(((y * z) \ y) \ 1,(y * z) \ y) | K(z,(y * z) \ y) = x. K(x,(y * x) \ y) = L(K(x,x \ 1),x,y). L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,((y * x) \ y) \ 1). K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. T(x,L(K(y,y \ 1),y,z)) = x. x != K(y,(z * y) \ z) | K(y,y \ 1) = x. K(x,x \ 1) = L(K(x,x \ 1),x,y). L(K(x,x \ 1),x,y) = K(x,x \ 1). L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). x != K(1 / y,(1 / y) \ 1) | K(y \ 1,y) = x. K(x \ 1,x) = L(K(x \ 1,x),1 / x,y). L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). x / K(y \ 1,y) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). x / (1 / y) = (x * K(y \ 1,y)) / (y \ 1). (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x * (y \ 1) = (x * (1 / y)) * K(y \ 1,y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,1 / y,K(y \ 1,y)) = x. x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. R(x,y \ 1,y) / y = x * (1 / y). 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. (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(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). (x * (1 / y)) * y = R(x,y \ 1,y). x / y != (z / u) * u | z * y = x. x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * 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). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). K(x,y) != z | K((u / x) \ u,y) = z. K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K(x \ y,(x \ y) \ 1) != z | K(x \ y,T(x / y,T(y,x))) = z. K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). (x / y) * K(y,y \ 1) != z | x / (1 / (1 / y)) = z. x / (1 / (1 / y)) = x * (1 / (1 / (x \ (x / y)))). x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). x * y != (z / u) * K(u,u \ 1) | x \ (z / (1 / (1 / u))) = y. x \ (x / (1 / (1 / y))) = 1 / (1 / (x \ (x / y))). 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). (x * 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). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. x * ((y * z) * (1 / (1 / ((y * z) \ y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (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)). x * (y * K(z,z \ 1)) != (x * y) * u | K(L(z,y,x),L(z,y,x) \ 1) = u. (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). x != y / ((z \ u) \ u) | y / T(z,z \ u) = x. x / T(y,y \ 1) = x * T(x \ (x / y),y). x * T(x \ (x / y),y) = x / T(y,y \ 1). x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). (x / y) * K(y \ 1,y) = x / T(y,y \ 1). (x / T(y,y \ 1)) * y = x * K(y \ 1,y). x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x * y != z * K(y \ 1,y) | x * T(y,y \ 1) = z. x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x * K(y \ 1,y) != (z * K(y \ 1,y)) * y | z * y = x. x * y = (x * K(y \ 1,y)) * ((y \ 1) \ 1). (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. R(x,y \ 1,y) = (x * (y \ 1)) * ((y \ 1) \ 1). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). x != R(y,z \ 1,z) | (y * (1 / z)) * z = x. (x * (1 / y)) * y = (x * (y \ 1)) * ((y \ 1) \ 1). (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | x \ R(z,u \ 1,u) = y. 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 * y != z * ((y \ 1) \ 1) | z * K(y,y \ 1) = x. (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). x * y != z * ((y \ 1) \ 1) | K(y,y \ 1) * z = x. K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). 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). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). 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 / (y \ 1)) * (1 / y) != z | x / K(y \ 1,y) = z. x / K(y \ 1,y) = x * K(y,y \ 1). (x * K(y \ 1,y)) * K(y,y \ 1) = x. (x * K(y,y \ 1)) * K(y \ 1,y) = x. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). x / (y * z) != R(u / y,y,z) | u * z = x. (K(x,x \ 1) * y) * K(x \ 1,x) = y. K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * K(y \ 1,y) = K(y,y \ 1) \ x. K(x,x \ 1) \ y = y * K(x \ 1,x). K(x,x \ 1) * (y * K(x \ 1,x)) = y. x * K(y \ 1,y) != z / (1 / y) | z / (y \ 1) = x. x / (y \ 1) = K(y,y \ 1) * (x / (1 / y)). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). x * K(y \ 1,y) != K(y \ 1,y) * z | z = x. x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. x * y != (K(z,z \ 1) * u) * K(z \ 1,z) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. x != y * K(z \ 1,z) | K(z,z \ 1) * x = y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. K(x \ 1,x) * y != z | y = K(x,x \ 1) * z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). x = (K(y \ 1,y) * x) * K(y,y \ 1). (K(x \ 1,x) * y) * K(x,x \ 1) = y. x != y * K(z \ 1,z) | x * K(z,z \ 1) = y. x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. K(x \ 1,x) * y != z | y = z * K(x,x \ 1). K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. a((x * y) \ 1,x,y) = K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y). K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. x != K(y,y \ 1) * z | x * K(y \ 1,y) = z. K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. x * y = (K(y \ 1,y) * x) * ((y \ 1) \ 1). (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. 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 * x) = y * (1 / (1 / x)). (x \ T(x * y,z)) * x = T(y * ((x \ 1) \ 1),z) * K(x \ 1,x). T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). 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 = 1 / (1 / (y \ x)). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). (x * (1 / y)) \ x = L(y,y \ 1,x). L(x,x \ 1,y) = (y * (1 / x)) \ y. K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). 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,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((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). 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. T(K(1 / (1 / x),y),x) = K(x,y). T(K(1 / x,y),x \ 1) = K(x \ 1,y). T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). T(K(x,y),T(x,x \ 1)) != z | T(K(x,y),x) = z. T(K(x,y),x) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = T(K(x,y),x). K((x \ 1) \ 1,y) = T(K(x,y),x). T(K(x,y),x) = K((x \ 1) \ 1,y). (1 / x) * K(x \ 1,y) = K(1 / x,y) * (1 / x). K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). K((x * y) \ x,((x * y) \ x) \ 1) != z | L(K(y,y \ 1),y,x) \ 1 = z. L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,x). K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. K((x * y) \ x,y) = K(y,(x * y) \ x) \ 1. K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. K(x \ 1,x) = K((y * x) \ y,x). K((x * y) \ x,y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(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 \ 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. K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). x * ((y \ 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))). (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)). (1 / x) * y = L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. T(x,(x \ 1) * y) = T(x,L(x \ y,x,x \ 1)). T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = T(x * (((x \ 1) * T((x \ 1) \ 1,z)) / T(x,z)),y). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). (x \ 1) * ((x \ 1) \ 1) = T(x,K(x \ 1,y)) * (x \ 1). T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(K(T(x,y),1 / x),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). T(K(T(x,y),1 / x),z) = K(T(x,y),1 / T(x,z)). T(K(T(x,y),1 / x),z) != u | K(T(x,y),T(T(x,y),w) \ 1) = u. K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. K(T(x,y),1 / x) = K(T(x,y),x \ 1). (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. 1 = T(x,K(x \ 1,y)) * (x \ 1). T(x,K(x \ 1,y)) * (x \ 1) = 1. T(x,K(x \ 1,y)) = x. T(1 / x,K(x,y)) = 1 / x. T(K(x,y),1 / x) = K(x,y). R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). x != R(1 / (y / z),y / z,z) | z / y = x. x / y = T((1 * x) / y,K(y / x,z)). T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). x \ y = T(x \ y,K(x / y,z)). T(x \ y,K(x / y,z)) = x \ y. K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. (K(x,y) \ 1) \ 1 = K(x,y). T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * 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) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. 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). ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) != w | a(x,K(z,u),K(y,z)) = w. x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). 1 / (1 / K(x,y)) = K(x,y). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). 1 = K(((x * y) / x) \ y,1 / (y / ((x * y) / x))). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. x * y != K(((z * u) / z) \ u,u \ ((z * u) / z)) | x \ 1 = y. (((x * y) / x) \ y) \ 1 = 1 / (((x * y) / x) \ y). 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. (x \ (x * (y * T(y \ 1,x)))) \ 1 = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. x != (y * T(y \ 1,z)) \ 1 | y \ (T(1 / y,z) \ 1) = x. x \ (T(1 / x,y) \ 1) = ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). x \ (y \ (T(1 / y,x) \ 1)) = (x * (y * T(y \ 1,x))) \ 1. (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). (x * K(y,x)) \ 1 = x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)). x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. x \ (K(y,x) \ 1) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) != z | ((y \ T(y,x)) \ 1) \ 1 = z. ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. x != (y \ T(y,z)) \ 1 | T(y,z) \ y = x. T(x,y) \ x = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = T(x,y) \ x. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). K(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). x * K(y,y \ 1) != z / (y * z) | x = R(y \ 1,y,z). z / (y * z) != x * K(y,y \ 1) | x = R(y \ 1,y,z). x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. R(x \ 1,x,y) = K(x \ 1,x) * (y / (x * y)). 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,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). x != K(y / z,z / y) | K(y / z,(y / z) \ 1) = x. K(x / y,(x / y) \ 1) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). 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,x \ 1) * (x * y) = T(x,x \ 1) * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. T(x,x \ 1) * y != z * K(x,x \ 1) | z = x * y. T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. x != T(y,y \ z) * u | ((y \ z) \ z) * u = x. ((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. x * (y * K(x,x \ 1)) != z | (x * y) * K(x,x \ 1) = z. (x * y) * K(x,x \ 1) = ((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 / x) * (y * K(1 / x,(1 / x) \ 1)) != z | ((1 / x) * y) * K(x \ 1,x) = z. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. 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) * (y * z) | L(z,y,y \ 1) = x. L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). x * y != ((1 / z) * u) * K(z \ 1,z) | ((z \ 1) * u) / y = x. ((x \ 1) * y) / (x \ 1) = ((1 / x) * y) / (1 / x). ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. L(x,y,1 / y) = L(x,y,y \ 1). (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). (1 / x) * y = L(x \ y,x,x \ 1). L(x \ y,x,x \ 1) = (1 / x) * y. (1 / x) \ L(y,x,x \ 1) = x * y. (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). 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. (1 / x) * y != L(x \ L(z,1 / x,K(x \ 1,x)),x,x \ 1) | z = y. x = L(x,1 / y,K(y \ 1,y)). L(x,1 / y,K(y \ 1,y)) = x. T(x,(1 / x) * y) = T(x,(x \ 1) * y). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. 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. (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. x != y | T(y,K(z \ 1,z)) = x. T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). (1 / x) \ y = ((x \ 1) \ y) * K(x \ 1,x). ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. x != (1 / y) * (z * K(y \ 1,y)) | z * ((y \ 1) * (y * T(y \ 1,z))) = x. x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(z \ 1,z)). T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. x != y * K(z \ 1,z) | K(z \ 1,z) * y = x. K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. ((x \ 1) \ 1) \ y = K(x \ 1,x) * (x \ y). K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. x * y != ((z \ 1) \ 1) * (K(z \ 1,z) * u) | x \ (z * u) = y. ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). (x * y) \ (y * x) = K(K(x \ 1,x) * y,(x \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). K(x,y) = K(K(y \ 1,y) * x,(y \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). K(x,(y \ 1) \ 1) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. K(x \ 1,x) * (x \ y) != z | y * T(y \ (x \ y),x) = z. x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). x != K(y \ 1,y) * z | z * K(y \ 1,y) = x. x * K(y \ 1,y) = y * (((y \ 1) \ 1) \ x). x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x * y = K(x \ 1,x) * (((x \ 1) \ 1) * y). K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. x * y != ((z \ 1) \ u) * K(z \ 1,z) | x \ ((1 / z) \ u) = y. x \ ((1 / x) \ y) = ((x \ 1) \ 1) \ ((x \ 1) \ y). ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). x * y != z * K(x \ 1,x) | ((x \ 1) \ 1) * y = z. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). x * y != z * (((z \ (u \ z)) \ 1) \ 1) | (((u \ 1) \ 1) \ z) / y = x. (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((x / y) \ 1) \ 1) \ x. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). x * y != z * (((z \ x) \ 1) \ 1) | K((x \ z) \ 1,x \ z) = y. K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). ((x \ 1) \ y) / y = ((((1 / x) \ y) / y) \ 1) \ 1. ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. x \ L(y,1 / x,x) = (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,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,T(y,y \ z)). L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). 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 * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (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)). x * ((1 / x) * y) = L(K(x,x \ 1) * y,x \ 1,x). L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. (x * y) * z != ((x \ 1) \ 1) * y | K(T(x,y),x \ 1) = z. K(T(x,y),x \ 1) = K(x,x \ 1). K(T(x,y),x \ 1) != 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. (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). x * (1 / T(x,y)) = T(x,y) \ T(x,x \ 1). T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). T(x,y) \ ((x \ 1) \ 1) = x * (1 / 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). x * (T(x,y) \ (1 / x)) = 1 / T(x,y). T(x,y) \ K(x,x \ 1) != z | (T(x,y) \ x) / x = z. (T(x,y) \ x) / x = 1 / T(x,y). (1 / T(x,y)) * x = T(x,y) \ x. 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(x,y) \ x) \ x = T(x,y). (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) * x = 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 * L(K(y,x),z,u) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = y * L(K(x,y),z,u). (x * K(y,x)) / x != z | K(y,x) = z. 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) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). T(x,y * T(y \ 1,x)) = x. K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). T(x,x \ ((y * x) / y)) = x. K(x,y) * R(T(y,z),u,w) = R(T(y,z),u,w) * K(x,y). R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). T(x,y \ T(y,x)) = x. (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 * 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). (x * K(y,x)) / x != z | L(K(y,x),x,1 / x) = z. L(K(x,y),y,1 / y) = K(x,y). (1 / x) * (x * K(y,x)) = K(y,x). x * y != L(K(z,u),u,1 / u) | x \ K(z,u) = y. (1 / x) \ K(y,x) = x * K(y,x). x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). (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). 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. R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. R((x / y) / K(z,y),K(z,y),y) = x / (y * K(z,y)). (x \ T(x,y)) * y = y * (x \ T(x,y)). (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. (x \ T(x,y)) * T(y,z) = T(y,z) * (x \ T(x,y)). T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). T(x \ T(x,y),T(y,z)) = x \ T(x,y). T(x * T(x \ 1,y),y) = x * T(x \ 1,y). x * (y * T(y \ 1,x)) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). ((x * y) / x) / y = y \ ((x * y) / x). 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 \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. T(x / y,K(z,y \ x)) = x / y. K(x,T(y,z)) * y = y * K(x,T(y,z)). K(x,T(y,z)) * T(y,u) = T(y,u) * K(x,T(y,z)). T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. 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) \ 1) * K(y,x) = (x \ 1) \ K(y,x). ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. T(x,L(K(y,x),z,u)) = x. x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). 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(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 * 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. 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. (T(x,y) \ 1) * T(x,y) = K(x \ 1,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). T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). 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 \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). 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) != z | z = T(x,y) / x. x \ T(x,y) != z | T(x,y) / x = z. (x \ T(x,y)) * x = T(x,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x \ ((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. (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). x \ T(x,y) != z | (1 / x) * T(x,y) = z. (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). (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 \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. T(x,y) / x != z | z = x \ T(x,y). T(x,y) / x != z | x \ T(x,y) = z. (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. T(x,y) / (x \ T(x,y)) = L(x,x \ T(x,y),x). L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). K(x \ (x / (y \ 1)),x) * y = T(y,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)). L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. K(1 / x,y) = K(x \ 1,y). x != K((y / z) \ y,u) | K(z,u) = x. K(x,y) = K(1 / (1 / x),y). K(1 / (1 / x),y) = K(x,y). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). K((x \ 1) \ 1,y) != z | T(K(x,y),x) = z. T(K(x,y),x) = K(x,y). 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). T(K(x,y),x) != 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). T(x,K(x,y)) = x. x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). 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 != 1 / (y \ ((z * y) / z)) | ((z * y) / z) \ y = x. ((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. 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 \ (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. (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 != y / (z \ y) | z = x. x = L(x,x \ T(x,y),x). L(x,x \ T(x,y),x) = x. x * y != T(z,R(T(u,z),T(u,z) \ 1,z)) \ z | (u \ T(u,z)) / y = x. (x \ T(x,y)) / y = 1 / T(y,R(T(x,y),T(x,y) \ 1,y)). 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. 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) * x != z | x * K(x,y) = z. K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. 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). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T(x,x \ y) = T((x \ y) \ y,K(x,z)). T((x \ y) \ y,K(x,z)) = T(x,x \ y). T(x,y \ ((x * y) / x)) = x. T(K(x,y),R(x,z,u)) = K(x,y). T(x,T(y,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 * (T(y,x) \ y)) \ x = y \ T(y,x). x / (y \ T(y,x)) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ x = T(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). x * y != L(z,z \ T(z,u),z) | x \ z = y. (x \ T(x,y)) \ x = x * (T(x,y) \ x). (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). (x \ T(x,y)) * (1 / T(x,y)) = L(1 / x,x \ T(x,y),x). L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. K(x,x \ T(x,y)) = 1. T(x,K(y \ (y / (x \ 1)),y)) = x. T(K(x,y),T(x,z)) = K(x,y). T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,R(K(x,y),z,u)) = x. K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). K(x,T(x,y) / x) = 1. x * y != K(z,T(z,u) / z) | x \ 1 = y. x \ 1 = T(1 / x,T(x,y)). T(1 / x,T(x,y)) = x \ 1. x = T(1 / (1 / x),T(1 / x,y)). T(1 / (1 / x),T(1 / x,y)) = x. 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 \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). T(x / (y * x),T(y,z)) = R(y \ 1,y,x). x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | K(y \ 1,y) = x. K(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = K(x \ 1,x). (1 / x) * T(x,y) != z | x \ T(x,y) = z. 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). T(x,x \ (y \ T(y,x))) = T(x,x \ 1). T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. x \ (y \ T(y,x)) = (x * (T(y,x) \ y)) \ 1. (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). (x \ T(x,y)) * (1 / T(x,y)) != z | L(1 / x,x \ T(x,y),x) = z. L(1 / x,x \ T(x,y),x) = 1 / x. x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). x * ((x \ T(x,y)) * (x \ 1)) = (1 / x) * (x * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). L(x \ T(x,y),x \ 1,x) = (1 / x) * (x * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). (1 / x) * T(x,y) = L(x \ T(x,y),x \ 1,x). L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). x \ T(x,y) = L(x \ T(x,y),x \ 1,x). L(x \ T(x,y),x \ 1,x) = x \ T(x,y). K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). T(x,K(y,x) \ 1) = x. (K(x,y) \ 1) * y = y * (K(x,y) \ 1). L(x \ 1,x,K(y,x) \ 1) = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). T(x,x \ K(y,x)) = T(x,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). K(x,y) / T(y,y \ 1) = y \ K(x,y). (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). x * (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 != y / K(z,y) | K(z,y) \ y = x. K(x,y) \ y = y * (T(((y * x) \ y) \ 1,y) \ (((y * x) \ y) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). 1 / (K(x,y) \ y) = (((y * x) \ y) * T(((y * x) \ y) \ 1,y)) / y. (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). (K(x,y) \ y) \ 1 = 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. K(x,y) / y = 1 / (K(x,y) \ y). 1 / (K(x,y) \ y) = K(x,y) / y. (K(x,y) / y) \ 1 = K(x,y) \ y. x \ (((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. 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). K(x,y) \ y = y * (K(x,y) \ 1). x * (K(y,x) \ 1) = K(y,x) \ x. x * y != z / K(u,z) | x \ (K(u,z) \ z) = y. x \ (K(y,x) \ x) = K(y,x) \ 1. x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. (K(x,y) \ 1) \ (K(x,y) \ y) = y. (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). (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). 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 != y * z | K(x,y) \ 1 = z. x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ 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. L(x \ 1,x,K(y,x) \ 1) = 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. (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). K(x,(y \ 1) \ 1) = K(x,y). K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. K(K(x,x \ 1) * y,x) = K(y,x). K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. K(x \ y,x) = K(((x \ 1) \ 1) \ y,x). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,T(y,1 / y)) = K(x,y). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). K(x,T(y / z,y \ z)) = K(x,y / z). K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). K((x \ 1) \ y,x) = K((1 / x) \ y,x). K((1 / x) \ y,x) = K((x \ 1) \ y,x). K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). 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). T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). (((x * y) / x) \ y) \ y = (x * 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). x * y != z / ((u * z) / u) | (((u * z) / u) \ z) / y = x. (((x * y) / x) \ y) / y = 1 / ((x * y) / x). (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). T(x,x / (y * x)) = T(x,x / (x * y)). R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. K(x / y,(x / y) \ 1) = K(y \ x,x \ y). x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). x * y != (z * x) * ((((z * x) \ x) \ 1) \ 1) | K(z \ 1,z) = y. K(x \ 1,x) = K(y / (x * y),(y / (x * y)) \ 1). K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). 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. x != ((y / (z * y)) \ 1) \ 1 | y / (((z \ 1) \ 1) * y) = x. x / (((y \ 1) \ 1) * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. 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 = ((x \ 1) \ 1) * y. R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. R(x,1 / x,y) \ y = (x \ 1) * y. x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. R(x,x \ 1,y) = R(x,1 / x,y). R(x,1 / x,y) = R(x,x \ 1,y). 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). x != K(y,((1 / z) \ u) / u) | K(y,((z \ 1) \ u) / u) = x. K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ (x * R(1 / (1 / y),y \ 1,(1 / y) \ x)). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). L(x,1 / (1 / y),K(y,y \ 1)) = x. L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). (x * y) * K(x \ 1,x) != z | x * (y * K(x \ 1,x)) = z. x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. ((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 \ (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 \ (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. K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. x \ y = K(x \ 1,x) * ((1 / (1 / x)) \ y). K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. (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 != K(y \ 1,y) * (z * y) | z * (1 / (1 / y)) = x. x * (1 / (1 / y)) = (1 / (1 / y)) * (y \ (x * y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). (1 / (1 / x)) * y != (1 / (1 / x)) * (x \ (z * x)) | T(z,1 / (1 / x)) = y. T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). T(x,R(y \ 1,y,z)) = T(x,z / (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)). x != y * ((z \ u) \ u) | y * T(z,z \ u) = x. x * T(y,y \ 1) = ((y \ 1) \ 1) * T(x,y). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). (1 / x) * T(y,x \ 1) = y * (1 / x). T(x,R(1 / y,y,x)) != z | (y * ((x * (y \ 1)) / x)) * x = z. (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). (x * ((y * (x \ 1)) / y)) * (x * z) != u | x * ((x * ((y * (x \ 1)) / y)) * z) = u. x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,(x \ 1) \ 1,y)). T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. x * ((x * y) * (y / (x * y))) = T(x * y,R(x \ 1,x,x * y)). T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. 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). 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). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (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 * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. ((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 \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. ((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(x \ 1,x) * y),(x \ 1) * y). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (1 / x) * y != (x \ 1) * (T(1 / x,z) * u) | T(x \ 1,z) * u = y. T(x \ 1,y) * z = K(x \ 1,x) * (T(1 / x,y) * z). K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. ((x \ 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. 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 \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. T(x,x \ 1) \ y = x \ (y * K(x \ 1,x)). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). x \ ((x * K(x,y)) * z) = T(x,R(y,x,(y * x) \ x)) * (x \ z). T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). (1 / x) \ (x \ (x * K(x,y))) = (x \ T(x,R(y,x,(y * x) \ x))) * x. (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). (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 \ (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. L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). L(K(x,y),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). x \ (x * K(x,y)) = L(K(x,y),x \ 1,x). L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). x \ K(x,y) != z * K(x,y) | x \ 1 = z. (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / 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 * (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. 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)). (x * K(x,y)) * (x \ z) = x \ ((x * K(x,y)) * z). x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). x \ (x * K(x,y)) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). (x \ 1) * y != x \ (x * K(x,z)) | T(x * K(x,z),x \ 1) = y. T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). K(x,y) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = K(x,y). K(x,y) / (x \ 1) != z | z = x * K(x,y). K(x,y) / (x \ 1) != z | x * K(x,y) = z. (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). R(x,y,z) * K(R(x,y,z),x \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). T(x,x / (x * y)) != z | T(x,x / (y * x)) = z. T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R((x \ 1) \ 1,y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). R(x,y,z) \ R(T(x,x \ 1),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). K(R(x,y,z),x \ 1) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. K(R(x,y,z),x \ 1) \ 1 != 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)). R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(K(x,R(x \ 1,y,z)),y,z) = K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != K(R(y,z,u),y \ 1) | y * ((y \ R(y,z,u)) / R(y,z,u)) = x. x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | K(R(y,z,u),R(y,z,u) \ 1) = x. K(R(x,y,z),R(x,y,z) \ 1) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). 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(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. ((x * y) * z) * (((((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. x != R(1 / (1 / y),z,u) | R(y,z,u) * K(y \ 1,R(y,z,u)) = x. R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) != u | R(K(x,R(x \ 1,y,z)),y,z) = u. R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). x != K((y \ 1) \ 1,z) | K(y,z) = x. K(x,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) * (y * z) = (K(x,R(x \ 1,y,z)) * y) * z. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). L(x,y,K(z,R(z \ 1,y,x))) = x. K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x * y != K(z,R(z \ 1,u,y)) * (u * y) | K(z,R(z \ 1,u,y)) * u = 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). L(x,y,K(z,z \ 1)) = x. K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = (K(x,x \ 1) * y) * z. (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). L(x \ (y * K(z \ 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) / z = K(x,x \ 1) * (y / z). L(x,y,K(z,1 / z)) = x. L(x,y,K(z \ 1,z)) = x. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). L((x * 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). 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). (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. L(x,y,K(z \ 1,z)) != u | x = u. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). L(x,y,1 / z) != u | L(x,y,z \ 1) = u. T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). R(K(x,x \ 1),y,z) = K(x,x \ 1). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. ((1 / x) * y) * z = K(x,x \ 1) * (((x \ 1) * y) * z). K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. 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))) != w | L(u,y * K(z \ 1,z),x) = w. (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,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(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. 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). (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). ((x \ 1) \ 1) / y = K(x,x \ 1) * (x / y). K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. (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) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = 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). L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). x * K(y \ 1,y) != (y \ 1) * z | (1 / y) * z = x. (1 / x) * R(x,y,z) = x \ R(x,y,z). x * R(x \ 1,y,z) = (x \ 1) \ R(x \ 1,y,z). (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) * x = R(x,y,z). T(x,x \ R(x,y,z)) = x. R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,y \ 1) * x = R(x,y,y \ 1). a(x,y,y \ 1) \ R(x,y,y \ 1) = x. x * R(x \ 1,y,y \ 1) != z | a(x \ 1,y,y \ 1) = z. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. (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). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). 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. K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). x = (R(x,y,z) \ x) * R(x,y,z). (R(x,y,z) \ x) * R(x,y,z) = x. (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. R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 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 \ (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 = (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 * 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,x)) != z | (y \ T(y,x)) * x = z. (x \ T(x,y)) * y = (x * y) / x. (x \ 1) * y != (z * (x \ 1)) / z | x * ((z * (x \ 1)) / z) = y. x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (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. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. x * (T(y,x) \ y) = T(x,T(y,x)). R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. x \ T(x,y) != z | y \ ((x * y) / x) = z. x != y \ T(y,z) | K(z \ (z / (y \ 1)),z) = x. K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. T(x,T(y,x)) * (y \ T(y,x)) = x. (x \ T(x,y)) \ y = T(y,T(x,y)). (x * (T(x,T(y,x)) \ x)) * y = y * x. T(x,T(y,x)) * (y \ T(y,x)) != z | L(x,y \ T(y,x),y) = z. L(x,y \ T(y,x),y) = x. T(x,T(y,x)) \ x != z | z = y \ T(y,x). T(x,T(y,x)) \ x != z | y \ T(y,x) = z. x * y != L(z,u \ T(u,z),u) | x \ z = y. x \ y = T(x,y) \ (y * (x \ T(x,y))). T(x,y) \ (y * (x \ T(x,y))) = x \ y. T(x,y) \ ((x * y) / x) = x \ y. T(x / y,T(y,x)) = y \ x. T(x,y) * (x \ y) = (x * y) / x. T(x \ y,y) * z != ((x \ y) * y) / (x \ y) | T(x,T(x \ y,y)) = z. T(x,T(x \ y,y)) = (x \ y) \ y. T(x,y * x) * z != (x * (y * x)) / x | T(y,T(x,y * x)) = z. T(x,T(y,x * y)) = y \ (x * 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)) != u | L(z,x \ y,T(x,y)) = u. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. L(((x * y) / x) / y,y,x) = K(T(x,y),y). T(x,x \ y) * (x \ y) = x * (y / x). T(x / y,y) * y = (x / y) * (x / (x / y)). T(x,T(y,x)) * T(y,x) = x * y. T(x,x / (x / (x * y))) != z | T(x,x / (1 / y)) = z. T(x,x / (1 / y)) = T(x,x * y). T(x,x / (x / T(y,x))) != z | (x / T(y,x)) * y = z. (x / T(y,x)) * y = T(x,T(y,x)). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x,x / y) = T(x,y \ x). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(x,T(y,x)) * (y * x) = x * (x * y). 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). (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). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x / R(x,y,z) = R(x,y,z) \ x. x / R(x,y,z) != u | (1 / R(x,y,z)) * x = u. (1 / R(x,y,z)) * x = R(x,y,z) \ x. x \ y != ((y * z) / y) \ z | T(y,R(z,z \ 1,y)) = x. T(x,R(y,y \ 1,x)) = T(x,y). (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). 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. ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). T(x,R(y \ 1,y,x)) = T(x,y \ 1). T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. T(x * y,R(x \ 1,x,x * y)) != z | x * ((x * y) * (y / (x * y))) = z. x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). T(x,R(y \ 1,y,z)) != u | T(x,z / (y * z)) = u. T(x,x / (y * x)) = T(x,y \ 1). x * y != T(z,z / (u * z)) | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. x \ (y \ T(x,y \ 1)) = (y \ x) / x. (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). ((x \ (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. R(T(x,x * y),y,x) = (x / T(y,x)) * y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). x * y != T(x * z,x \ 1) | ((x \ 1) \ z) * (x \ 1) = y. ((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 != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. x * K(x,(x / y) / x) = T(x,y \ 1). x * K(x,(y \ x) / x) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). x * 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 * (x * (y / x)) != T(x,x \ y) * z | y = z. T(x,x \ y) * z != x * (x * (y / x)) | y = z. (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). T(x / ((x * y) / x),y) = ((x * y) / x) \ x. 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,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. T(T(x,x * y) * y,x) = x * 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). T(x,y * x) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y * x). T(T(x,y \ x) / y,x) = x / y. 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 * 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)). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). x \ T(x,R(y \ 1,y,z) \ 1) = T(x \ T(x,(z / (y * z)) \ 1),T(y,u)). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). x != y \ 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 \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. T(x,y) = T(x,T(y,x * y)). T(x,T(y,x * y)) = T(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). x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) != z | K(y,x) \ x = z. 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. 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). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. L(x \ T(x,y),y,x) = K(T(x,y),y). (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). K(x,1 / x) * (y * z) = (K(x,1 / x) * y) * z. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). L(x \ T(x,y),y,x) = K(x,(x * y) / x). (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). (x / T(y,x)) * y != z | R(T(x,x * y),y,x) = z. R(T(x,x * y),y,x) = T(x,T(y,x)). x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). (x * ((x / y) / x)) * y = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). x \ T(y,x \ 1) = T(y * ((y / x) / y),x). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). x * 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) * (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. 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). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. (x \ y) \ (y / x) = x \ ((x \ y) \ y). L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. L(x \ T(x,y),y,x) != z | K(T(x,y),y) = z. K(T(x,y),y) = K(x,(x * y) / x). L(x \ T(x,T(y,x)),T(y,x),x) = K(x,y). K(T(x,T(y,x)),T(y,x)) = K(x,y). 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,x \ z) * z | x * (z / x) = y. x * (y / x) = (x \ T(x,x \ y)) * y. (x \ T(x,x \ y)) * y = x * (y / x). x * y != T(x,z) * (x * u) | T(x,z) * u = y. T(x,y) * z = (x \ T(x,y)) * (x * z). (x \ T(x,y)) * (x * z) = T(x,y) * z. x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. (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. x * y != T(x,T(z,x)) * (z * x) | x * z = y. x * y = (T(y,x) \ y) * (y * x). (T(x,y) \ x) * (x * y) = y * x. (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). (x * y) / (y * x) = T(y,x) \ y. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). (x * y) / (y * x) != z | z = T(y,x) \ y. (x * y) / (y * x) != z | T(y,x) \ y = z. (T(x,y) * z) / (x * z) = x \ T(x,y). L(x,y,y \ T(y,z)) = x. (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. L(x,y,T(z,T(y,z)) \ z) = x. T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. R(x \ T(x,y),x,z) = x \ T(x,y). L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). x != L(y \ T(y,T(z,y)),T(z,y),y) | K(y,z) = x. K(x,y) = R(K(x,y),x,z). R(K(x,y),x,z) = K(x,y). K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). L(x,y,K(y,z)) = x. x != L(y,z,K(z,u)) | x = y. L(x,y,K(y,z)) != u | u = x. L(x,y,K(y,z)) != u | x = u. R(x,x \ T(x,y),z) = x. R(x,x \ (K(y,x) \ x),z) = x. R(x,K(y,x) \ 1,z) = x. (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(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). x != (y \ z) \ (z / y) | y \ ((y \ z) \ z) = x. x \ ((x \ y) \ y) = (x * (y / x)) / y. (x * (y / x)) / y = x \ ((x \ y) \ 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 \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. 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. L(x,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. ((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). T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (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 / x)) / y != z | x \ ((x \ y) \ y) = z. x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). x \ y != x \ ((z \ u) \ u) | T(z,z \ u) = y. 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). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x / y) \ T(x,x \ y) = x * (y / x). (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). 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 / (y * x)) \ T(x,T(y,x)) = x * y. ((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((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). T(x \ T(x * y,y),x * y) = 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)). (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(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). K(x \ 1,T(y,x \ y)) = K(x \ 1,y). K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) != z | K(x,y) = z. K(x,T(y,x * y)) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,T(y,x * y)). K(x,y) = K(x,T(y,x * y)). K(x,T(y,x * y)) = K(x,y). K(x,T(x \ y,y)) = K(x,x \ y). (x * T(x \ 1,y)) \ y != z | T(y,T((x \ u) / u,y)) = z. T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. 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). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * 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 * z) / y) \ y | T(y / ((y * z) / y),z) = x. T(x / ((x * y) / x),y) = y \ (x * (T(x,y) \ x)). x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). (x / ((x * y) / x)) * y = x * (T(x,y) \ x). (x / ((y * z) / y)) * z != u | (x * z) / ((y * z) / y) = u. (x * y) / ((x * y) / x) = x * (T(x,y) \ x). (x * y) / ((x * y) / x) != z | y / (x \ ((x * y) / x)) = z. x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). ((x * y) / z) * T(((x * y) / z) \ x,u) != w | (x * (y * T(y \ z,u))) / z = w. (x * (y * T(y \ x,y))) / x = x * K(y \ (x * (T(x,y) \ x)),y). x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. x != y * (((z * y) / z) \ u) | (T(z,y) \ z) * u = x. (T(x,y) \ x) * z = R(x \ T(x,y),y,((x * y) / x) \ z) \ z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). ((x \ 1) * y) / (x \ 1) != z | ((1 / x) * y) / (1 / x) = z. ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). ((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)). 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). x != y * T(y \ 1,z) | K(z \ (z / y),z) = x. K(x \ (x / y),x) = T(x,y \ 1) \ x. x != (y \ 1) * T((y \ 1) \ 1,z) | y \ T(y,z) = 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)) = L(z,T(y \ 1,x),y). x * ((y \ (x \ y)) * y) = y * (T(y,x \ 1) \ y). x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). 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. 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). L(x,y,K(z,y) \ 1) = x. K(T(x,y),y) * K(y,x) = 1. 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). 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). x != L(y,K(z,u),L(z,w,v5)) | x = y. L(x,K(y,z),L(y,u,w)) != v5 | v5 = x. 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). 1 != K(T(x,y),y) * z | K(y,x) = z. K(T(x,y),y) * z != 1 | K(y,x) = z. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. 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)). x \ y != z \ T(z,y) | T(y,T(z,y)) = x. T(x,T(y,x)) = T(x,y). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. 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). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. T(x,x \ y) \ y = T(x \ y,x). 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((x \ 1) * y,x)) != z | T(x,x \ y) = z. T(x,x \ y) = T(x,(x \ 1) * y). T(x,(x \ 1) * y) = T(x,x \ y). 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). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(x,T(T(y,x),z)) = T(x,T(y,z)). T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x \ y,(x \ y) \ y) = T(x \ y,x). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) = T(x,(x * y) / x). T(x,(x * y) / x) = T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). T(x,T(x \ y,z)) = T(x,T(y / x,z)). T(x,T(y / x,z)) = T(x,T(x \ y,z)). T(x,y) * T(y,x) = x * y. T(x * (T(x,y) \ x),y) = x. T(x,y) \ x != z | y \ T(y,x) = z. K(T(x,y),T(y,x)) = K(x,y). (x / (y * x)) \ T(x,y) = x * y. T(T(x,L(y,z,u)),w) = T(T(x,w),L(T(y,x),z,u)). T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). T(x,y) * (x \ T(y,x)) = y. (x * y) / T(y,x) = T(x,y). T(x,y) * T(z,x) != u | T(z,x) * T(T(x,z),y) = u. T(x,y) * T(T(y,x),x) = y * x. x * y != T(z,u) * T(u,z) | (z * u) / y = x. (x * y) / T(T(x,y),y) = T(y,x). x * y != T(z,u) * T(u,z) | x \ (z * u) = y. T(x,y) \ (y * x) = T(T(y,x),x). (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). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). T(x,y) \ (x * y) != z | z = T(y,x). T(x,y) \ (x * y) != z | T(y,x) = z. T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). (T(x,y) / y) * z = (x / T(y,x)) * z. (T(x,y) / y) \ x = T(y,x). x * (y / T(x,y)) = T(x * (y / x),x). T(x * (y / x),x) = x * (y / T(x,y)). (x / T(y,x)) * y != z | (x * (x * y)) / (y * x) = z. (x * (x * y)) / (y * x) = T(x,y). (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) * T(y,y \ x) = y * (x / y). (x * (y / x)) / T(x,x \ y) = y / x. (x * (y / x)) * x = y * T(x,x \ y). (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). x * ((y \ x) \ x) = (y * (x / y)) * y. (x * (y / x)) * x = y * ((x \ y) \ y). T(x / (x / y),y \ x) = y. ((x \ y) * x) / (x \ y) = y / (y / x). (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(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). (x * (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)). (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T(x,y * x) = T(x,x * y). R(T(x,y),x \ y,x) = T(x,x \ y). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). 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,y * x),z) = T(T(x,z),x * y). x * T(y,x * y) = L(y,x,y) * x. T(x,T(y,y * x)) = T(x,y). ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). x * y != T((y \ z) * y,y) | y \ T(z,y) = x. x \ T(y,x) = ((x \ y) * x) / T(x,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). (x \ T(y,x)) * z = (T(x,y) \ y) * z. (T(x,y) \ y) * z = (x \ T(y,x)) * z. L(x,y,x) \ ((x * (y * x)) / x) = y. x * T(y,x * y) != z | (y * (x * y)) / y = z. (x * (y * x)) / x = L(x,y,x) * y. T(L(x,y,x) * y,x) = y * x. (L(x,y,x) * y) * x = x * (y * x). T(T(x,y),z) != u | T(T(x,z),y) = u. T(T(x,y),z * x) = T(T(x,y),x * z). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). (T(x,y) \ y) * x = T((x \ y) * x,x). T((x \ y) * x,x) = (T(x,y) \ y) * x. x != y * a(y,z,z \ 1) | R(y,z,z \ 1) = x. R(x / T(y,x),z,z \ 1) = (T(x,y) / y) * a(x / T(y,x),z,z \ 1). (T(x,y) / y) * a(x / T(y,x),z,z \ 1) = R(x / T(y,x),z,z \ 1). T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). x * y != z * ((x \ z) \ z) | T(x * (z / x),x) = y. T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). T(x * (y / x),x) != z | x * (y / T(x,y)) = z. x * (y / T(x,y)) = x \ (y * ((x \ y) \ y)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). T(x,(x \ 1) * y) != z | T(x,(1 / x) * y) = z. T(x,(1 / x) * y) = T(x,x \ y). ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). ((x \ 1) * y) \ y = R(T(x,x \ y),x \ 1,y). R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). R(T(x,y),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). (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 * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). T(x,T(y,y * x)) != z | T(x,y) = z. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). T(L(x,y,z),u / x) = L((x \ u) \ u,y,z). ((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 / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). T(x * y,T(y,x)) = T(x * y,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). T(x,x \ y) / y = x / ((x \ y) * x). R(1 / x,x,y) \ T(y,x) = y * x. T(x,y) / (x * y) = R(1 / y,y,x). R(1 / x,x,y) * (y * x) = T(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) * (y * x)) / T(x,y) != z | T(x,y * x) * T(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). (x / T(x,y)) * (T(y,z) * T(x,y)) = L(T(y,z),T(x,y),x / T(x,y)) * x. L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). L(x,y,x) * T(y,x) = y * L(x,y,x). L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. 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). x * T(y,z) != y * L(z,y,z) | L(z,T(y,z),z) = 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). R(1 / x,x,T(y,x)) = R(1 / x,x,y). R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). R(1 / x,x,x \ y) \ (y / x) = x * (y / x). ((x \ y) / y) * (x * (y / x)) = y / x. T(x \ 1,x * y) = T(x \ 1,(x \ 1) \ y). T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. x / T(y \ 1,y * x) = (y \ 1) \ x. T(x \ 1,y) = ((x \ 1) \ (x \ y)) \ (x \ y). ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y. (x * (y \ x)) / (x / y) = (y \ x) * y. ((x \ y) * x) * (y / x) = 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 \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). x * ((x \ y) * x) = y * (y / (y / T(x,y))). x * (x / (x / T(y,x))) = y * ((y \ x) * y). x * y != z * ((z \ x) * z) | T(x / (x / z),x) = y. T(x / (x / y),x) = x / (x / T(y,x)). x / (x / T(y,x)) = T(x / (x / y),x). T(x / (x / y),x) \ x = x / T(y,x). T(x / y,x) \ x = x / T(y \ x,x). x / T(y \ x,x) = T(x / y,x) \ x. L(x,x \ y,x) \ y = y / T(x,y). (x * (y / x)) / x = y / (y / (y / x)). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). x != T(y,T(T(z,y),u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. T(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = T(x,y). 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 \ y) \ y = R(T(x,y),x \ y,x). R(T(x,y),x \ y,x) = (x \ y) \ y. T(x,y) * T(y,y \ x) = R(y,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). x * (y * z) != (L(u,w,v5) * y) * z | L(R(u,y,z),w,v5) = x. L(R(x,y,x),y,x) = x. 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. L(x,y,z) != z | y \ T(z * y,z) = x. x \ T(y * x,y) = R(y,x,y). x * R(y,x,y) = T(y * x,y). x \ T(y * x,y) != z | R(y,x,T(y,x)) = z. R(x,y,T(x,y)) = R(x,y,x). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(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). T(x * y,x) * T(x,y) != z | R(x,y,x) * T(x * y,x) = z. 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)). 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). 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). x != R(y,y \ z,y) | (y \ z) \ T(z,y) = x. (x \ y) \ T(y,x) = R(x,y / x,x). R(x,y / x,x) = (x \ y) \ T(y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,y,x) = (x \ (y * x)) \ T(y * x,x). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,x). 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). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). K(x,(y \ x) / x) = K(x,y \ 1). 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 != 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((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). K((1 / x) * (y * x),x) = K(T(y,x),x). 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). (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). (T(x,(y / z) / (1 / z)) \ x) * (y / z) != u | T(y,x) / z = u. 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)) \ (((x * y) / x) * z) = y * z. (x \ T(x,y)) \ z = (T(x,y) \ x) * z. L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). (x \ T(x,y)) \ (((x * y) / x) * z) != u * w | u \ (y * z) = w. (x \ T(x,x \ y)) \ y = (x \ y) * x. L(x,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. 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). x * (T(x,y) \ z) = (T(x,y) \ x) * z. (T(x,y) \ x) * z = x * (T(x,y) \ z). x * y = (T(x,z) \ x) * (T(x,z) * y). (T(x,y) \ x) * (T(x,y) * z) = x * z. T(x,y) / z = y * (T(y,(x / z) / (1 / z)) \ (x / z)). x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. (T(x,y / z) \ x) * y != u | z * T(z \ y,x) = u. x * T(x \ y,z) = z * (T(z,y / x) \ y). x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y != (T(z,u) \ z) * (T(z,u) * w) | x \ (z * w) = y. x \ (y * z) = ((y * x) / y) \ (T(y,x) * z). ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). T(x,y) * (x \ (T(y,x) * z)) = y * z. x * y != T(z,u) * (T(u,z) * w) | x \ (z * (u * w)) = y. (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). L(x,y,z) = 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). (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). T(x,(y \ z) / z) != u | T(x,y \ 1) = u. (x / y) * (x * (y / x)) = T(x,y / x). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). T(x,y / x) \ x != z | y / (x * (y / x)) = z. x / (y * (x / y)) = y \ (x / (x / y)). x != (T(y,z) \ y) * u | (y \ T(y,z)) \ u = x. (x \ T(x,y)) \ z = T(y,x) * (y \ z). x != (T(y,z) \ y) * u | z * (((y * z) / y) \ u) = x. x * (((y * x) / y) \ z) = T(x,y) * (x \ z). x != (T(y,z) \ y) * u | y * (T(y,z) \ u) = x. x * (T(x,y) \ z) = T(y,x) * (y \ z). T(x,y) * (x \ z) = y * (T(y,x) \ z). 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). (x \ ((x \ y) \ y)) \ y = (x \ y) * x. (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. x != R(y,T(z,y),y) | R(y,z,y) = x. R(x,y,x) = R(x,T(y,x),T(x,y)). R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. x != 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(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). 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 / z) != u | T(x,(z / y) \ 1) = u. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). x != T(y,z) \ (y * u) | y * (T(y,z) \ u) = x. x * (T(x,y) \ z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = x * (T(x,y) \ z). x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. x * (((y * x) / y) \ z) != u | ((y * x) / y) \ (x * z) = u. ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). 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. 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 * ((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). 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). 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(x \ T(y,x),x) != z | T(y,x) \ ((T(x,y) \ y) * x) = z. T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). K(x \ y,x) = K(x \ ((x * y) / x),x). K(x \ ((x * y) / x),x) = K(x \ y,x). T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. K(((x * y) / x) \ x,y) = K(y \ x,y). x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). T(x,(y \ x) * y) = x. T((x \ y) * x,y) = (x \ y) * x. T(x * (y / 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. (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 \ (1 / y)) * x) * y) * x = x * ((y * x) * T((y * x) \ 1,x)). x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. x * (y * ((x \ (y \ 1)) * x)) = (((x \ (1 / y)) * x) * y) * x. (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). x * 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. (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. 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 != K(z * u,(z * u) \ 1) * ((((z * u) \ 1) * z) * u) | a((z * u) \ 1,z,u) / y = x. a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. ((1 / (x * y)) \ T(1 / (x * y),x)) * x = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. x != (((y \ (1 / z)) * y) * z) * y | y * (z * ((y \ (z \ 1)) * y)) = x. x * (y * ((x \ (y \ 1)) * x)) = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). ((x \ y) * x) * (y \ 1) = (y \ 1) * ((x \ ((y \ 1) \ 1)) * x). (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). (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 / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. x * K(y \ 1,y) != (z / u) * u | z * K(y,y \ 1) = x. (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). (x \ ((y \ 1) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. K(x,x \ 1) * (y * (x \ 1)) != z | y * (1 / x) = z. (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) != z | ((y \ x) * y) * (x \ 1) = z. ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). (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). L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). x != T(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). x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). (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. x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). x \ y = K(z \ 1,z) * ((x * K(z \ 1,z)) \ y). K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. K(x \ 1,x) * y = z * (K(x \ 1,x) * (z \ y)). x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. x != y * (K(z \ 1,z) * u) | y * (u * K(z \ 1,z)) = 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) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). 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)). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). K(L(x,y,z) \ 1,x) = K(x \ 1,x). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). L(K(x \ 1,x),y,z) = K(x \ 1,x). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). T(x,y / (z \ 1)) = T(x,y / (1 / z)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). 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 * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. x / (y * K(z \ 1,z)) = (x * K(z,z \ 1)) / y. (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) != u | R(x,y,z) = u. R(x,y,z) = R(x,y,(z \ 1) \ 1). R(x,y,(z \ 1) \ 1) = R(x,y,z). R(x,y,K(z \ 1,z)) != u | x = u. R(x,y,K(z,1 / z)) = x. R(x,y,K(z,z \ 1)) = x. R(x,y,K(1 / z,z)) = x. R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). R(x,y,z \ 1) = R(x,y,1 / z). R(x,y,1 / z) = R(x,y,z \ 1). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. x * y != K(z \ 1,z) * (u / (z \ 1)) | x \ (u / (1 / z)) = y. x \ (y / (1 / z)) = K(z \ 1,z) * (x \ (y / (z \ 1))). K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). x \ (K(y \ 1,y) * z) != u | u = K(y \ 1,y) * (x \ z). x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. 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) * z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). T(x,y * z) = T(x,y * (1 / (1 / z))). T(x,y * (1 / (1 / z))) = T(x,y * z). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). T(x,T(y,y \ 1) * z) = T(x,y * z). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ (y * (K(z \ 1,z) * u)) = (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). (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. 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). 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). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). x * K(y,y \ 1) = z * ((z \ x) * K(y,y \ 1)). x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. x != y * K(z,z \ 1) | K(z,z \ 1) * y = x. K(x,x \ 1) * (y \ z) = y \ (K(x,x \ 1) * z). x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). x \ (y * K(z,z \ 1)) != u | u = (x \ y) * K(z,z \ 1). x \ (y * K(z,z \ 1)) != u | (x \ y) * K(z,z \ 1) = u. 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. x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. (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) = a(x,y,z * K(u \ 1,u)). a(x,y,z * K(u \ 1,u)) = a(x,y,z). a(x,y,z) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). a(x,y,z) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). x != y | (y * K(z \ 1,z)) * K(z,z \ 1) = x. (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(w,w \ 1) * z). a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w \ 1,w)) * K(w,w \ 1). R(K(x,y),x,z) != u | K(x,y) = u. K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 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). 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)). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). 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). (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) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). T(x / y,(x / y) \ (1 / (y / x))) != z | x / y = z. x / y = T(x / y,(x / y) \ ((y / x) \ 1)). T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. ((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. 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 \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). x * ((1 / (1 / y)) * z) != (x * (1 / (1 / y))) * u | L(z,y,x) = u. (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = 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). 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. K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). K((x \ 1) * y,x \ y) = 1. 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 * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). (((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). (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. a(x,y,z) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,(y \ 1) \ 1,z) = a(x,y,z). 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. (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) != w | R(y,z * K(x \ 1,x),u) = w. R(x,y * K(z \ 1,z),u) = K(z,z \ 1) * ((K(z \ 1,z) * ((x * y) * u)) / (y * 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). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. R(x,y,z) = R(x,y * K(u \ 1,u),z). R(x,y * K(z \ 1,z),u) = R(x,y,u). R(x,y \ 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. x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. 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 * (T(y,z) / x) != u | T(x * (y / x),z) = u. (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 \ T(y,z)) * x = T((x \ y) * x,z). T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,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(x * y,z)) * x = T(y * x,z). x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. 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,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. ((1 / x) \ y) * (1 / x) = x \ T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). T(x \ T(x * y,z),x) = x \ T(y * x,z). x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). x * (y * T(y \ T(z,x),y)) = ((y \ z) * y) * x. x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. ((x \ (y / z)) * x) * z != u | ((x \ (y * (z \ 1))) * x) / (z \ 1) = u. ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. T(x,T(y * x,z)) = T(x,T(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),K(y,z)). T(x * (y / x),K(y,z)) = x * (y / x). x * (T(y,y \ z) / x) = T(x * (y / x),z / y). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x * (y \ T(y * (x \ z),x)) != u | ((x \ (z / (y \ 1))) * x) * (y \ 1) = u. ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. ((x * ((y / z) / 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 != T(y,z) / (z \ y) | (y * z) / y = x. (x * y) / x = (y \ x) \ T((y \ x) * y,y). (x \ y) \ T((x \ y) * x,x) = (y * x) / 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)). 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. 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 / x),(y / z) \ 1) = T(x * (y / x),y \ z). T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). 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(x * y,z,u)) * x = L(y * x,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). L(x,y,z) != (u \ u) * L(w,y,z) | w = x. x = (L(x,y,z) \ x) * L(x,y,z). (L(x,y,z) \ x) * L(x,y,z) = x. (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). (x \ L(x,y,z)) * x = L(x,y,z). (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. (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)). L(x,y,z) / x = x \ L(x,y,z). x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) != u | ((y \ (z * x)) * y) / x = u. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. x * y != L(z,x \ 1,x) | (x \ 1) * z = y. (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. (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))). T(1 / x,L(x,y,z)) = x \ 1. K(x,y \ 1) = K(x,T(y \ 1,L(y,z,u))). K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). x * y != L(z,u,w) * K(v5,v5 \ 1) | x \ L(z * K(v5,v5 \ 1),u,w) = y. x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,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 \ 1) != z | (1 / y) * ((x \ y) * x) = z. (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. x != ((y \ z) * y) / z | y \ (z / (z / y)) = x. x \ (y / (y / x)) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). 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 \ (1 \ y)) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. 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). K(x \ y,x) * y = (x \ y) * x. ((x \ y) * x) / y != z | ((x \ y) * x) * (y \ 1) = z. ((x \ y) * x) * (y \ 1) = K(x \ y,x). (x * K(x \ y,x)) * (y / x) = y. (x / y) * (y * K(y \ x,y)) = (y \ x) * y. T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x,K(y \ x,y)) = x. (x \ 1) * ((y \ x) * y) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). T(x * y,K(y,x)) = x * y. (x * y) / (y * x) = K(x,y). T(x,y) \ x = K(y,x). K(x,y) * (y * x) = x * y. ((x / y) * y) / z != u | x / z = u. x / (y * (x / y)) = K(x / y,y). (1 / (x * y)) / ((1 / x) * (1 / y)) = K(1 / y,1 / x). x / ((y \ x) * y) = K(y,y \ x). K(x,x \ y) * ((x \ y) * x) = y. K(x,y / x) * y = x * (y / x). x \ T(x,y) = K(x,y). x * T(x \ 1,y) = K(x \ 1,y). x / T(x,y) = K(y,x). x * (T(x,y) \ 1) = K(y,x). x / K(y,x) = T(x,y). T(x,y) * K(y,x) = x. 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 | (1 / T(x,y)) * x = z. (1 / T(x,y)) * x = K(y,x). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). 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)). ((x \ y) \ y) * K(x \ y,x) = x. (x \ 1) * K(y,x) = T(x,y) \ 1. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). K(x,y) != z | y / T(y,x) = z. K(x,y) * ((y * x) / y) = x. x * (((y * x) / y) \ z) = K(x,y) * z. x * K(y \ 1,x) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). T(x,T(y,x)) \ x = K(y,x). x * (K(x,y) * z) = T(x,y) * z. K(x / y,z) * x = y * T(y \ x,z). K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. K(x,y) * (T(y,x) * z) = y * z. T(x * K(y,x),y) = x. (x * y) / x = y * K(x,y). T(x,y) * (x \ z) = K(x,y) * z. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). T(1 / x,y) * x = K(x \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) != w | L(x * T(x \ 1,u),y,z) = w. L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). K((x / y) \ 1,z) * y = x * T(x \ y,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. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). 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(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(x \ y,x) * ((x \ y) \ y) = x. K(x,y / x) * (x \ y) = y / x. x \ y != T(y,z) | K(z,y) = x. T(x,y) != z \ x | K(y,x) = z. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. x \ ((y * x) / y) = K(y,x). (1 / x) * T(x,y) = K(x,y). T(x,y) / x = K(x,y). T(x,y) * (x \ 1) = K(x,y). x != K(y,z \ 1) | K(y,1 / z) = x. K(x,1 / y) = x \ T(x,y \ 1). x \ T(x,y \ 1) = K(x,1 / y). x * K(x,y) = T(x,y). (x / y) \ T(x / y,z) != u | (y * T(y \ x,z)) / x = u. (x * T(x \ y,z)) / y = K(y / x,z). x \ T(x,y) != z | ((x * y) / x) * (y \ 1) = z. ((x * y) / x) * (y \ 1) = K(x,y). x \ T(x,y) != z | ((x * y) / x) / y = z. ((x * y) / x) / y = 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 * y != z \ T(z,u) | x \ K(z,u) = y. ((x * y) / x) \ K(x,y) = y \ 1. T(x,y) \ K(x,y) = x \ 1. L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). K(x,y) != x \ z | T(x,y) = z. x * K(x,y) != z | T(x,y) = z. x * K(x,y) != z * u | z \ T(x,y) = u. x \ T(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = x \ T(x,y \ x). K(x,y) * x = T(x,y). K(x,y) * x != z | T(x,y) = z. (x * K(y,x)) * y = y * x. T(x,y) * K(y,T(x,y)) = x. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. (x \ y) * K(x,x \ y) = y / x. K(x,y) * (x * z) = T(x,y) * z. K(x,x \ y) * y = x * (y / x). 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 != T(y,z / u) | T(y,(u / z) \ 1) = x. T(x,(y / z) \ 1) = x * K(x,z / y). x != T(y,z) | T(y,T(z,T(y,u))) = x. T(x,T(y,T(x,z))) = x * K(x,y). x != T(T(y,z),u) | T(T(y,u),z) = x. T(T(x,y),z) = T(x,z) * K(T(x,z),y). T(x,y) * K(T(x,y),z) = T(T(x,z),y). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). T(x,y) != x * z | K(x,y) = z. (x * y) * L(K(y,z),y,x) = x * T(y,z). (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. T(x,y) * K(T(x,y),z) != T(u,y) | T(x,z) = u. T(x,y) != T(z,y) * K(T(z,y),u) | T(z,u) = x. x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). (x * K(x,y)) \ x = K(y,x). 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(x \ 1,y) = z. T(x,y) \ x != z | K(y,x) = z. x \ T(x * y,y) = y * K(x * y,y). 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 * K(y,x)) \ (y * x) = 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) / y) = x \ (z * K(y,z)). x / (x / y) = y * K(x / y,y). ((x * y) / x) * z = (y * K(x,y)) * z. x * K(y,x) != z / y | y * x = z. x / y != z * K(y,z) | y * z = x. ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). T(T(x * K(y,x),z),y) = T(x,z). L(x * K(y,x),z,u) * y = y * L(x,z,u). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). T(x * K(y * x,x),y) = R(x,y,x). (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 * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,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. L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). T(x,y) * K(y,T(x,y)) != z | z = x. T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). (1 / x) * ((y * x) / y) = K(y,x). T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. T(x,y * K(x,y)) = T(x,y). K(x,y) \ (y * z) = T(y,x) * z. x \ (T(x,y) * z) = K(x,y) * z. (x \ y) / (T(x,z) \ y) = K(x,z). x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. 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 = x \ (K(x,y) \ z). x \ (K(x,y) \ z) = T(x,y) \ z. T(x,y) * (x \ z) != u | ((y * x) / y) \ (x * z) = u. ((x * y) / x) \ (y * z) = K(y,x) * z. x * (y \ (z * y)) != u | x * T(z,y) = u. T(x,y) * T(z,x) = K(x,y) * (z * x). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(y,x) * z) = T(x,y) \ z. T(x,y) * K(x,z) = K(x,y) * T(x,z). (x \ y) * K(x,y / x) = y / x. ((x \ y) \ y) * K(y / x,x) = x. x != T(y,z) * (y \ u) | K(y,z) * u = x. K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. x \ (K(x,y) * z) = K(x,y) * (x \ z). x \ (y * T(x,z)) = K(x,z) * T(y,T(x,z)). K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). x * y != T(x,z) * (x \ u) | ((z * x) / z) \ u = y. ((x * y) / x) \ z = K(y,x) * (y \ z). (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,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 != 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. (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x \ (T(x,y) * z) != u | u = K(x,y) * z. x \ (T(x,y) * z) != u | K(x,y) * z = u. x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). x * (T(y,z) * K(x,y)) = T(x,y) * T(y,z). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) * z != K(x,y) * ((y * x) * u) | L(u,y * x,K(x,y)) = z. K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). 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). K(T(x,y),z) * T(x,y) != T(u,y) | T(x,z) = u. T(x,y) != K(T(z,y),u) * T(z,y) | T(z,u) = x. x * (K(y,x) * y) = y * x. T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. (K(R(x,y,y \ 1),z) * x) \ T(R(x,y,y \ 1),z) = L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)). T(x,y) != z | x * K(x,y) = z. K(x,y) \ y != z | 1 / (y \ K(x,y)) = z. 1 / (x \ K(y,x)) = T(x,y). K(x,y) \ y != z | (K(x,y) / y) \ 1 = z. (K(x,y) / y) \ 1 = T(y,x). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. x * (T(x,y) \ 1) != z | K(y,x) = z. ((x * y) / x) * (y \ z) = K(x,y) * z. T(x,y) \ (x * z) = K(y,x) * z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x * y != 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 \ (K(y,x) * z) != u | u = T(x,y) \ z. x \ (K(y,x) * z) != u | T(x,y) \ z = u. T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. (x * y) / (K(z,x) * y) = T(x,z). T(K(x,y) * y,x) = y. x * K(T(x,y),z) = K(y,x) * T(T(x,y),z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). 1 = K(1 / x,x). K(1 / x,x) = 1. K(1 / x,y) != z | K(x \ 1,y) = z. K(x \ 1,x) = 1. K(1 / (1 / x),1 / x) != y | K(x,x \ 1) = y. K(x,x \ 1) = 1. x != 1 | K(y,y \ 1) = x. K(x,x \ 1) = K(y,y \ 1). T(x,x \ 1) = x. x * y != K(z,z \ 1) | 1 / y = x. 1 / (1 / x) = x. x * y != K(z,z \ 1) | x \ 1 = y. x \ 1 = 1 / x. 1 / x = x \ 1. (x \ 1) \ 1 = x. T(x,L(x,y,z) \ 1) = x. T(x \ y,(x \ y) \ y) != z | T(x \ y,x) = z. T(x \ 1,x) = x \ 1. L(x \ (y \ z),x,y) = T((y * x) \ z,(x \ (y \ z)) \ 1). T((x * y) \ z,(y \ (x \ z)) \ 1) = L(y \ (x \ z),y,x). (x \ 1) * x = 1. 1 / x != y | x \ 1 = y. K(x,y) / y = y \ K(x,y). x / (y * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (x * y). (L(x,y,z) \ 1) * x = L(x,y,z) \ x. ((x \ 1) \ 1) * 1 = x. ((x \ y) \ 1) \ 1 != z | T(x \ y,y \ x) = z. T(x \ y,y \ x) = x \ y. x \ (y * z) != ((L(z,y,y \ 1) \ (y * z)) \ 1) \ 1 | (y \ 1) * (y * z) = x. (x \ 1) * (x * y) = L(y,x,x \ 1). x != y \ 1 | x \ 1 = y. x \ 1 != y | y \ 1 = x. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 != u | a(x,y,z) = u. (x \ 1) * R(x,y,z) = x \ R(x,y,z). x \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. (x * (y \ 1)) * y = R(x,y \ 1,y). L(x \ y,x,x \ 1) = (x \ 1) * y. R(x \ 1,x,y) \ y = x * y. T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x != 1 | K(y \ 1,y) = x. K(x \ 1,x) = K(y \ 1,y). x / ((y * x) / y) = K(x,y). K(x \ y,x) * (y / x) = x \ y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). (x * y) / x != z | y * K(x,y) = z. (x * y) / x = T((x * (y * K(z,y))) / x,z). T((x * (y * K(z,y))) / x,z) = (x * y) / x. 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. ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * 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)). x * ((y \ z) * y) = ((y \ (z * K(x,z))) * y) * x. ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). x = K(y \ x,y) * (y * (x / y)). K(x \ y,x) * (x * (y / x)) = y. K(x,y / z) * (z * T(z \ y,x)) = y. x * y != T(z,u) * (K(u,z) * w) | x \ (z * w) = y. T(T(x,y),z) \ (x * u) = K(z,T(x,y)) * (K(y,x) * u). K(x,T(y,z)) * (K(z,y) * u) = T(T(y,z),x) \ (y * u). x * y != z * K(z,u) | x \ T(z,u) = y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). x * y != T(z,u) * K(u,z) | x \ z = y. T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. x * y != (z \ u) * T(z,z \ u) | x \ u = y. T(x \ y,z) \ y = K(z,x \ y) * T(x,x \ y). K(x,y \ z) * T(y,y \ z) = T(y \ z,x) \ z. x * y != z * K(u,z / u) | x \ (u * (z / u)) = y. T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). T(x,y) \ (z * x) = K(y,x) * T(z,x). T(x,y) * z != x * (K(x,y) * u) | u = z. x = K(y,z) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. (x * y) / (K(z,x) * y) != u | u = T(x,z). (x * y) / (K(z,x) * y) != u | T(x,z) = u. T(x,y) \ (x * z) != u | u = K(y,x) * z. T(x,y) \ (x * z) != u | K(y,x) * z = u. T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). K(x,y) \ 1 = K(y,x). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. x / (K(y,z) * x) = K(z,y). 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 1. x * (y * K(z,y)) != K(z,y) | 1 / y = x. 1 / K(x,y) = K(y,x). K(x,y) * z != K(u,x) * K(x,y) | K(u,x) = z. K(x,y) = K(z,y) * (K(x,y) * K(y,z)). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | 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. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). K(x,y) \ z != u | K(y,x) * z = u. x \ (K(y,z) * (K(z,y) * (x * u))) = L(L(u,x,K(z,y)),K(z,y) * x,K(y,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. ((x / K(y,z)) * u) \ (x * (K(z,y) * u)) = a(x / K(y,z),K(y,z),K(z,y) * u). a(x / K(y,z),K(y,z),K(z,y) * u) = ((x / K(y,z)) * u) \ (x * (K(z,y) * u)). K(x,y) \ 1 != z | K(y,x) = z. (x \ 1) / (x \ K(x,y)) = K(y,x). 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 * 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). (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. K(x,y) * (K(y,x) * z) != u | u = z. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 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)). 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. (1 / x) * K(y,z) = 1 / (K(z,y) * x). 1 / (K(x,y) * z) = (1 / z) * K(y,x). K(x,y) != 1 / z | K(y,x) = z. x * (K(y,z) * K(z,y)) = x. K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. T(x,y) != z | K(y,x) \ x = z. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). x * K(y,z) != 1 | K(T(z,y),y) = x. K(T(x,y),y) = K(x,y). x * (K(y,z) * K(z,y)) != u | x = u. x \ 1 != K(y,z) | K(z,y) = x. K(x,y) != z \ 1 | K(y,x) = z. 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. K(x \ y,x) \ 1 != z | K(x,y / x) = z. K(x,y / x) = K(x,x \ y). x \ 1 != K(y,z / y) | K(y \ z,y) = x. K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). (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). 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,x)) \ 1 = x \ K(x,y). K(x,T(y,x)) != z | K(x,y) = z. (K(x,y) \ 1) \ z = K(x,y) * z. x \ 1 != y | y = 1 / x. x \ 1 != y | 1 / x = y. (x \ 1) \ 1 != y | x = y. T(x \ 1,x) != y | x \ 1 = y. L(x \ 1,y,z) * x = x * L(x \ 1,y,z). (x * y) * (y \ 1) = R(x,y,1 / y). (((x * y) \ 1) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). R(x,y,1 / y) / (y \ 1) = x * y. (x \ 1) \ L(y,x,x \ 1) = x * y. K(x,x \ 1) / y = y \ 1. 1 / x = x \ K(y,y \ 1). x \ K(y,y \ 1) = 1 / x. K(x,y) != y / z | T(y,x) = z. (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,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). ((x \ 1) \ 1) * K(y \ 1,y) = x. K(x,T(y,y \ z)) != u | K(x,(y \ z) \ z) = u. K(x \ y,(x \ y) \ y) = K(x \ y,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,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)). K(x,y) \ T(y,x) = T(T(y,x),x). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). K(x \ (y * x),x) = K(y,x). K((x \ y) \ y,x \ y) = K(x,x \ y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). (T(x,y) * y) / T(x,y) = y * K(x,y). K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). x * (y * K(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). (L(x,y,z) \ 1) * x = x * (L(x,y,z) \ 1). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). K(x,y) / x = 1 / ((y * x) / y). (x * K(y,x)) \ x = K(x,y). K(x,y) / y != z | z = 1 / T(y,x). K(x,y) / y != z | 1 / T(y,x) = z. x != 1 / y | y \ 1 = x. T(x,y) \ 1 = K(y,x) / x. ((x \ y) \ y) \ 1 = x \ K(x \ y,x). 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) \ (z * T(x,y)) = x * T(z,T(x,y)). x * K(y,x) != z | (y * x) / y = z. ((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). (x \ 1) * T(x,y) = K(x,y). K(1 / x,y) / x = T(1 / x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. T(x,y * x) * (x \ 1) = K(x,x * y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). 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,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 * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). (x \ K(y,x \ 1)) * y = y * (x \ 1). (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. 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). x / (y / (y / x)) = K(x,x \ y). x / (x * K(y,x)) = K(x,y). T(x,K(y,y \ x)) = x. (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). K(x,y) \ (y * z) != u | u = T(y,x) * z. K(x,y) \ (y * z) != u | T(y,x) * z = u. K(x,y) * (y * z) = y * (K(x,y) * z). K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. K(x,R(y,z,u)) * ((y * z) * u) = R(y,z,u) * (K(x,R(y,z,u)) * (z * u)). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (x * y) * z != T(x,u) * y | T(K(x,u),x * y) = z. T(K(x,y),x * z) = (x * z) \ (T(x,y) * z). (x * y) \ (T(x,z) * y) = T(K(x,z),x * y). K(T(x,y),z) * (T(x,y) * u) = T(T(x,z),y) * u. K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. 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). T(x,y) * (x \ z) != u | K(x,y) * z = u. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. 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) * (T(x,z) * u) = T(x,y) * (K(x,z) * u). T(x,y) * (K(x,z) * u) = K(x,y) * (T(x,z) * u). T(x,x * y) * K(y,x) = L(x,y,x). 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 * y != y * z | z * K(y,z) = x. L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). (x * y) \ ((x * L(z,u,w)) * y) = R(T(L(z * K(x,z),u,w),x * y),x,y). R(T(L(x * K(y,x),z,u),y * w),y,w) = (y * w) \ ((y * L(x,z,u)) * w). 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). x * y != L(z,u,w) * K(v5,L(z,u,w)) | L(z * K(v5,z),u,w) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). (x * (y * z)) \ ((x * y) * L(z * K(u,z),y,x)) = L(K(u,L(z,y,x)),L(z,y,x),x * y). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. (x * (y * z)) \ (x * (y * (z * K(u,z)))) = L(K(u,L(z,y,x)),L(z,y,x),x * y). L(K(x,L(y,z,u)),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(x,y)))). x != (y * (z * u)) \ (y * (z * (u * w))) | L(L(w,u,z),z * u,y) = x. L(L(K(x,y),y,z),z * y,u) = L(K(x,L(y,z,u)),L(y,z,u),u * z). x \ y != T(x,z) \ (x * u) | ((z * x) / z) * u = y. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. x \ (K(x \ y,x) * z) = ((x \ y) \ y) \ z. ((x \ y) \ y) \ z = x \ (K(x \ y,x) * z). x \ T(x * y,y) != y * z | K(x * y,y) = z. (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. (x * K(y,x)) \ z = K(x,y) * (x \ z). ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. x != (y \ 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). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). ((x \ y) * x) / y = K((x / y) \ 1,x). K((x / y) \ 1,x) = ((x \ y) * 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. K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). x != ((y \ z) * y) / z | K(y \ z,y) = x. K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,x). x != K(y \ ((1 / y) \ z),y) | K(z,y) = x. K(x,y) = K((y / ((1 / y) \ x)) \ 1,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). K(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = K(y \ 1,x). (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). x * y != z * T(z \ y,u) | K((z / y) \ 1,u) = x. K((x / y) \ 1,z) = K(y / x,z). x * y != (z * y) * T((z * y) \ y,u) | K(z \ 1,u) = x. K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). (x * y) * L((x * y) \ z,y,y \ 1) = x * (y * ((y \ 1) * (x \ z))). 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) \ 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(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 * x) != u * w | u \ (T(x,y) * T(z,x)) = w. x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). T(x,y) / z = (x / z) * K(((x / z) \ (1 / z)) \ 1,y). (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. x * (y * T(y \ (x \ z),u)) = z * K((z \ (x * y)) \ 1,u). x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,y). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. (x * y) * 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 \ T(y,z) = (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). 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). 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 * T(y,z) = (x * y) * K(((x * y) \ x) \ 1,z). (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). (x * y) * T(L(z,y,x),u) = (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u). (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = (x * y) * T(L(z,y,x),u). (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). (x / y) * K(((x / y) \ (1 / y)) \ 1,z) != u | T(x,z) / y = 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). x \ (((y \ (x / z)) * y) * z) != u | u = K((x \ (y * z)) \ 1,y). x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. 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(T(1 / x,y) \ 1,z) != u | K(T(x \ 1,y) \ 1,z) = u. K(T(x \ 1,y) \ 1,z) = T(K(x,z),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). (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). T(x,y) / (T(x,y) * K(z,x)) = K(x,z). x / (y * T(y \ x,z)) = K(z,x / y). 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). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). a(x,x \ 1,y) \ y = L(y,x \ 1,x). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(x,y,T(z,u)) = L(L(x,y,z),z * y,K(z,u)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. x != K(y,z) * (y \ u) | y \ (K(y,z) * u) = x. x \ (K(x,y) * z) = (x * K(y,x)) \ z. (x * K(y,x)) \ z = x \ (K(x,y) * z). (x \ 1) * (x * (y / x)) != z | L(y,x \ 1,x) / x = z. L(x,y \ 1,y) / y = L(x / y,y,y \ 1). L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). K(x,R(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). K(x,L(y,z \ 1,z)) * a(z,z \ 1,y) = T(L(y,z \ 1,z),x) \ y. 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). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). x * (y * z) != (K(y,u) * y) * z | K(y,u) = x. K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). 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). 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. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). x * K(y,(x \ z) \ 1) = z * ((z \ x) * K(y,z \ x)). x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). 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). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). x != y * ((z * (y \ u)) / z) | u * K(z,(u \ y) \ 1) = x. x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). x * ((y \ (x \ z)) * y) = z * K((z \ (x * y)) \ 1,y). x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). x * (1 / x) = K(y,y \ 1). K(x,x \ 1) = y * (1 / y). x \ y != 1 / x | K(x,1 / x) = y. K(x,1 / x) = K(y,y \ 1). K(x,x \ 1) = K(y,1 / y). (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / (1 / x)) * K(y,y \ 1) = x. (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). K(x,x \ 1) * y = (y \ 1) \ 1. K(x \ 1,x) * ((y \ 1) \ 1) = y. x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. (x \ 1) \ K(y,x) = ((x * K(y,x)) \ 1) \ 1. ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). x * K(y \ 1,y) = 1 / (1 / x). x * y = ((x \ 1) \ 1) * (K(z \ 1,z) * y). ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. (((x \ 1) \ 1) \ y) * z != (x \ y) * x | (x \ 1) \ 1 = z. (x \ 1) \ 1 = K(y \ 1,y) * x. K(x \ 1,x) * y = (y \ 1) \ 1. ((x \ 1) \ 1) * y != x * (z * K(x,x \ 1)) | z = y. x = K(y \ 1,y) * (x * K(z,z \ 1)). K(x \ 1,x) * (y * K(z,z \ 1)) = y. ((x \ 1) \ 1) * (y / T(z,u)) = x * (y / T(1 / (1 / z),u)). K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. x * y != ((x \ 1) \ 1) * (K(z \ 1,z) * u) | u = y. x = K(y,y \ 1) * (K(z \ 1,z) * x). K(x,x \ 1) * (K(y \ 1,y) * z) = z. x * y != (((x * z) \ 1) \ 1) * K(u \ 1,u) | z = y. x = (K(y,y \ 1) * x) * K(z \ 1,z). (K(x,x \ 1) * y) * K(z \ 1,z) = y. x \ 1 = K(y \ 1,y) * (1 / x). K(x \ 1,x) * (1 / y) = y \ 1. K(x,x \ 1) * y != (1 / (1 / x)) \ z | x \ z = y. x \ y = K(z \ 1,z) * ((1 / (1 / x)) \ y). K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z. K(x,x \ 1) * y != (1 / x) * z | (x \ 1) * z = y. (x \ 1) * y = K(z \ 1,z) * ((1 / x) * y). K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. (1 / x) * K(y \ 1,y) = x \ 1. (x * K(y,y \ 1)) \ (1 / z) = x \ (z \ 1). (1 / x) * K(y,y \ 1) = x \ 1. (x \ y) * ((z \ 1) \ 1) = ((1 / (1 / x)) \ y) * z. ((1 / (1 / x)) \ y) * z = (x \ y) * ((z \ 1) \ 1). x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. x * ((y \ 1) \ 1) = K(z,z \ 1) * (x * y). K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. R(1 / x,y,z) * K(u \ 1,u) = R(x \ 1,y,z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x * (y \ 1),z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(x \ 1,x) * y != ((1 / x) * z) \ u | ((x \ 1) * z) \ u = y. ((x \ 1) * y) \ z = ((((1 / x) * y) \ z) \ 1) \ 1. ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. K(K(x,x \ 1) * y,z) = K(y,z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K((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 \ (K(y,y \ 1) * z),u) = K(x \ z,u). (x * ((y \ 1) * y)) * a(x,y \ 1,y) = R(x,y \ 1,y). x * K((x \ y) \ 1,x \ y) != z | y * (((y \ x) \ 1) \ 1) = z. x * (((x \ (y \ z)) \ 1) \ 1) = ((y \ 1) \ 1) \ z. (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). x \ y != K(x,z) * u | T(x,z) \ y = u. x != (y * z) / y | z * K(y,z) = x. 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). x != L(y \ (z \ u),y,z) | (z * y) \ u = x. (x * y) \ z = T((x * y) \ z,(y \ (x \ z)) \ 1). T((x * y) \ z,(y \ (x \ z)) \ 1) = (x * y) \ z. T((x * y) / x,z) = T(y * K(x,y),z). T(x,y) != z | z * K(y,z) = x. T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T(x,y \ z) != y | z / (z / y) = x. x / (x / T(y,z)) = T(y * K(T(y,z) \ x,y),z). T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). T(x,y) != T(z,u) | x = T(z * K(y,z),u). T(x,y) != T(z,u) | T(z * K(y,z),u) = x. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. (x \ y) * K(z,z \ 1) != u | x \ (K(z,z \ 1) * y) = u. x \ (K(y,y \ 1) * z) = ((x \ 1) \ 1) \ z. (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). x / y != K(z,u) | K(u,z) * x = y. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. (x * y) / (x * (K(z,u) * y)) != w | w = K(u,(x * y) / (x * (z \ y))). (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. (x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y)) = L(a(x,K(u,z),y),x * (K(u,z) * y),K(z,(x * y) / (x * (u \ y)))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). 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). K(x \ y,x) * ((x \ y) \ z) != u | u = (y / x) \ z. K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). K((x * y) \ 1,y) = x * ((y \ (x \ 1)) * y). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). (x * T(x \ y,z)) * (y \ 1) != u | K((x * (y \ 1)) \ 1,z) = u. K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x \ 1) \ a(x,y,y \ 1) = R(x,y,y \ 1). 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 \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. K(x * y,x) * K(x,y) = x \ R(x,y,x). L(K(x * y,x) \ z,K(x * y,x),K(x,y)) = (x \ R(x,y,x)) \ (K(x,y) * z). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). ((1 / x) * y) \ z = K(u \ 1,u) * (((x \ 1) * y) \ z). K(x \ 1,x) * (((y \ 1) * z) \ u) = ((1 / y) * z) \ u. T(x,y) * z != u | K(x,y) * (x * z) = u. T(x,y) * (x \ 1) != z | K(x,y) = z. K(x,y * x) = K(x,x * y). K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). K(x,y) * T(x,z) = K(x,z) * T(x,y). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). (((x * y) \ 1) * z) / ((x \ 1) * z) = R(1 / y,1 / x,z). (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,1 / x,z). x != R(y,1 / z,u) | R(y,z \ 1,u) = x. R(x \ 1,y \ 1,z) = (((y * x) \ 1) * z) / ((y \ 1) * z). (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). ((x * y) \ 1) / (x \ 1) = y \ 1. (x \ 1) * (y \ 1) = (y * x) \ 1. (x \ 1) / (y \ 1) = (y \ x) \ 1. (x * (y \ 1)) \ (x * ((z * y) \ 1)) = L(z \ 1,y \ 1,x). ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). x * ((y * x) \ 1) = L(y \ 1,x \ 1,x). L(x \ 1,y \ 1,y) = y * ((x * y) \ 1). K(x,((y \ 1) * (z \ 1)) \ 1) = K(x,z * y). x * (y \ 1) = (y * (x \ 1)) \ 1. (x * (y \ 1)) \ 1 = y * (x \ 1). (x \ 1) * y = ((y \ 1) * x) \ 1. ((x \ 1) * y) \ 1 = (y \ 1) * x. K(x,y) * (z \ 1) = (z * K(y,x)) \ 1. (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). (x \ 1) * K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). (((x * y) \ 1) / (y \ 1)) \ z = K(x \ 1,y \ 1) * ((x \ 1) \ z). K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). ((x * y) \ 1) * x = R(y \ 1,x \ 1,x). R(x \ 1,y \ 1,y) = ((y * x) \ 1) * y. x * y != (z * (z \ u)) \ w | (u \ w) / y = x. (x \ 1) / y = ((y \ 1) \ x) \ 1. ((x \ 1) \ y) \ 1 = (y \ 1) / x. L(x,y,y \ 1) \ 1 = ((y * x) \ 1) * y. ((x \ 1) * y) * (z \ 1) = (z * ((y \ 1) * x)) \ 1. (x * ((y \ 1) * z)) \ 1 = ((z \ 1) * y) * (x \ 1). (x \ 1) * ((y \ 1) * z) = (((z \ 1) * y) * x) \ 1. (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). R(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). K(x * (y \ 1),x) = K(y \ x,x). (x * (y \ 1)) * (z \ 1) = (z * (y * (x \ 1))) \ 1. (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). (x \ 1) * (y * (z \ 1)) = ((z * (y \ 1)) * x) \ 1. ((x * (y \ 1)) * z) \ 1 = (z \ 1) * (y * (x \ 1)). K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. K(x * y,x) = K((y \ 1) \ x,x). K((x \ 1) \ y,y) = K(y * x,y). K(x * (1 / y),x) = K(y \ x,x). x \ y != K(z,z \ u) * ((u / z) \ y) | z \ u = x. x \ y = (y / x) * K(x \ y,x). (x / y) * K(y \ x,y) = y \ x. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). x / (y \ 1) = (y \ (x \ 1)) \ 1. (x \ (y \ 1)) \ 1 = y / (x \ 1). K(x,y) / (z \ 1) = (z \ K(y,x)) \ 1. ((x \ 1) * y) / (z \ 1) = (z \ ((y \ 1) * x)) \ 1. (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. x != y \ 1 | 1 / y = x. 1 / (x \ K(y,z)) = K(z,y) / (x \ 1). K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). K(x,y) / z = 1 / ((1 / z) \ K(y,x)). 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. K(x,y) / (z \ 1) != u | (z \ K(y,x)) \ 1 = u. (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). K(x,y) / z != 1 / u | (1 / z) \ K(y,x) = u. ((x \ 1) / y) \ 1 = (y \ 1) \ x. (((x \ 1) / y) * z) \ 1 = (z \ 1) * ((y \ 1) \ x). (x / y) \ 1 = (y \ 1) \ (x \ 1). (x \ 1) \ (y \ 1) = (y / x) \ 1. ((x * (y \ 1)) / z) \ 1 = (z \ 1) \ (y * (x \ 1)). x \ (y \ 1) = (y / (x \ 1)) \ 1. (x / (y \ 1)) \ 1 = y \ (x \ 1). (x \ 1) \ ((y \ 1) * ((z \ 1) * u)) = ((((u \ 1) * z) * y) / x) \ 1. (x \ 1) * K(y,z) != u \ 1 | K(z,y) * x = u. x \ 1 != (y \ 1) * K(z,u) | K(u,z) * y = x. (x * y) \ 1 = ((T(x,z) * y) \ 1) * K(x,z). ((T(x,y) * z) \ 1) * K(x,y) = (x * z) \ 1. (x \ y) \ 1 = ((T(x,z) \ y) \ 1) * K(z,x). ((T(x,y) \ z) \ 1) * K(y,x) = (x \ z) \ 1. x * (y * T(z,u)) = (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u). (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = x * (y * T(z,u)). ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) != u | R(x,y \ 1,z \ 1) = u. R(x,y \ 1,z \ 1) = ((z * y) \ (z * ((x * (y \ 1)) \ 1))) \ 1. ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). L(x \ 1,y,z) \ 1 = R(x,y \ 1,z \ 1). R(x,y \ 1,z \ 1) \ 1 = L(x \ 1,y,z). T(x,x \ (L(x \ 1,y,z) \ 1)) = x. R(x,y \ 1,z) \ 1 = L(x \ 1,y,z \ 1). R(x,y,z \ 1) \ 1 = L(x \ 1,y \ 1,z). R(x,y,z) \ 1 = L(x \ 1,y \ 1,z \ 1). L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. (L(x \ 1,y,z \ 1) * u) \ 1 = (u \ 1) * R(x,y \ 1,z). (x * L(y \ 1,z,u \ 1)) \ 1 = R(y,z \ 1,u) * (x \ 1). x \ y != L(z \ y,u,K(w,u) \ 1) | z = x. x = R(x,y,K(z,y \ 1)). R(x,y,K(z,y \ 1)) = x. L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. R(x \ 1,y,z) \ 1 = L(x,y \ 1,z \ 1). x * (y * K(z,y \ 1)) = (x * y) * K(z,y \ 1). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). x \ 1 != L((y \ 1) \ 1,z,u) | L(y,z,u) \ 1 = x. L(x,y \ 1,z) \ 1 = R(x \ 1,y,z \ 1). 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). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). K(x \ 1,y) != z | K(1 / x,y) = z. K(1 / (x / y),z) = K(y / x,z). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). K((x \ 1) \ y,z) = K(x / (y \ 1),z). K(x / (y \ 1),z) = K((x \ 1) \ y,z). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). 1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). K(x \ 1,x) * (y / z) = y / ((z \ 1) \ 1). K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. (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). 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). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). 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(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ 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(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). x * K(1 / y,y) = 1 / (1 / x). 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 * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. x * (y * K(z \ 1,y)) = (x * K(z \ 1,y)) * y. (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). R(x,K(y \ 1,z),z) = x. R(x,K(y,z),z) = x. R(x,K(y,z),z) != u | x = u. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). (x * K(y,z)) \ (x * (z * K(y,z))) = z. (x / (y \ 1)) * (z \ 1) = (z * (y \ (x \ 1))) \ 1. (x * (y \ (z \ 1))) \ 1 = (z / (y \ 1)) * (x \ 1). (x * (y / (z \ 1))) \ 1 = (z \ (y \ 1)) * (x \ 1). 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). 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). K(x,y) = R(K(x,y),T(x,z),u). R(K(x,y),T(x,z),u) = K(x,y). 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(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). 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). K(L(x \ 1,x,y) \ 1,z) = K(x,z). K(x,x \ (y * x)) != z | K(x,y) = z. K(x,T(T(y,x),z)) != u | K(x,T(y,z)) = u. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. K(x,y * (z \ 1)) = K(x,y * (1 / z)). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). K(x,y / (1 / z)) = K(x,y / (z \ 1)). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). (1 / (x * y)) / (1 / (y * x)) = K(1 / y,1 / x). ((x * y) \ 1) / (1 / (y * x)) = K(1 / y,1 / x). ((x * y) \ 1) / ((y * x) \ 1) = K(1 / y,1 / x). x != K(1 / y,z) | K(y \ 1,z) = x. K(x \ 1,1 / y) = ((y * x) \ 1) / ((x * y) \ 1). ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,1 / x). x != K(y,1 / z) | K(y,z \ 1) = x. K(x \ 1,y \ 1) = ((y * x) \ 1) / ((x * y) \ 1). ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,x \ 1). (x \ 1) / (y \ 1) != z | (y \ x) \ 1 = z. ((x * y) \ (y * x)) \ 1 = K(x \ 1,y \ 1). K(x,y) \ 1 = K(y \ 1,x \ 1). K(x \ 1,y \ 1) = K(y,x) \ 1. K(x \ 1,y \ 1) = K(x,y). K(x \ 1,y \ 1) != z | K(x,y) = z. K(x / y,z \ 1) = K(y / x,z). K(x,(y \ 1) \ 1) != z | K(x,y) = z. K(x \ 1,y) = K(x,y \ 1). L(x,y \ 1,K(y,z)) = x. R(x,y,K(z,y)) = x. x * (y * K(z,y)) = (x * y) * K(z,y). (x * y) * K(z,y) = x * (y * K(z,y)). L(K(x,y),y,z) = K(x,y). (x * y) * K(z,y) = x * ((z * y) / z). (x * (y \ z)) * K(y,y \ z) = x * (z / y). 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). L(K(x,y),z * y,u) = L(K(x,L(y,z,u)),L(y,z,u),u * z). L(K(x,L(y,z,u)),L(y,z,u),u * z) = L(K(x,y),z * y,u). L(K(x,y),y,z) != u | K(x,y) = u. K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). L(x,y,z) != K(u \ 1,u) | K(u \ 1,u) = x. K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). 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,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). K(x \ 1,y) != z | K(y \ (x \ y),y) = z. K(x \ (y \ x),x) = K(y,x \ 1). K(x \ 1,y) * z = K(x,y \ 1) * z. x * y != K(z \ 1,u) | x \ K(z,u \ 1) = y. x \ K(x,y \ 1) = T(x \ 1,y). (x * K(y,x \ 1)) \ z = K(x,y \ 1) * (x \ z). K(x,y \ 1) * (y \ z) = T(y,x \ 1) \ z. L(L(x,y,z \ 1),(z \ 1) * y,K(z,u \ 1)) != w | L(x,y,T(z \ 1,u)) = w. K(x,y \ 1) * (x \ z) = z * T(z \ (x \ z),y). x * K(y,z \ x) = z * ((y * (z \ x)) / y). x != y * ((z * (y \ u)) / z) | K(z,(y / u) \ 1) * u = x. K(x,(y / z) \ 1) * z = z * K(x,y \ z). x != (y * z) * ((y * ((y * z) \ u)) / y) | (y * ((u / z) / y)) * z = x. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). x * y != z * ((u * (z \ x)) / u) | K(u,(x \ z) \ 1) = y. K(x,(y \ z) \ 1) = K(x,z \ y). x * K(y,y \ x) = y * (x / y). K(x,y \ 1) != z | K(x,1 / y) = z. K(x,1 / (y \ z)) = K(x,z \ y). K(x,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,((y * z) \ 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,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,(((y * z) \ y) \ u) \ 1) = K(x,u \ L(z \ 1,z,y)). K(x,(y \ T(z,y)) \ 1) = K(x,z \ T(y,z)). x * K(x,y \ z) = T(x,(z \ y) \ 1). T(x,(y \ z) \ 1) = x * K(x,z \ y). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). K(x,(y \ K(z,u)) \ 1) = K(x,K(u,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) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). K(x,(y \ 1) / z) = K(x,y \ (z \ 1)). R(x,y \ z,K(u,z \ y)) = x. K(x,y / (z \ 1)) = K(x,(y \ 1) \ z). x != K(y,z) | L(K(y,z),z,u) = x. L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). K(x,((y * z) \ y) \ 1) != u | u = K(x,z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. T(x,y \ z) = T(x,(z \ y) \ 1). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. x != T(y,z) | K(z,y) \ y = x. K(x \ y,z) \ z = T(z,(y \ x) \ 1). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. T(x,y \ 1) != z | T(x,1 / y) = z. T(x,1 / (y \ z)) = T(x,z \ y). T((x * y) \ z,(y \ (x \ z)) \ 1) != u | (x * y) \ z = u. (x * y) \ z = T((x * y) \ z,(x \ z) \ y). T((x * y) \ z,(x \ z) \ y) = (x * y) \ z. T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,((y * z) \ y) \ 1) = T(x,z). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,x \ y) / (y \ x) = x * (y / x). T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). K((x \ y) \ 1,z) = K(y \ x,z). K(x,y) = K(((z * x) \ z) \ 1,y). K(((x * y) \ x) \ 1,z) = K(y,z). K(1 / (x \ y),z) = K(y \ x,z). K(x \ 1,y) != z | K(x,y \ 1) = z. K(x \ y,z \ 1) = K(y \ x,z). 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(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). x * T(x \ y,z) = y * K(x \ y,z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). (x * (y * z)) * K((x * y) \ (x * (y * z)),u) = x * (y * T(z,u)). x * (y * K((x \ 1) \ y,z)) = T(x * y,z). K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). 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))). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)). K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. K(x,y * x) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,y * x). (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. 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). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. K(x,y) \ 1 = L(K(y,x),y,z). L(K(x,y),x,z) = K(y,x) \ 1. 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). x * y != z * ((u \ (z \ x)) * u) | K((u * z) \ x,u) = y. K((x * y) \ z,x) = K((y * x) \ z,x). K((x * y) \ z,y) = K((y * x) \ z,y). 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). K(x * y,y) = K((x \ 1) \ y,y). K((x \ 1) \ y,y) = K(x * y,y). (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). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). K((x \ 1) \ y,y) != z | K(y * x,y) = z. K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). K(x \ y,y) = K((1 / x) * y,y). K((1 / x) * y,y) = K(x \ y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). T(x * K(x * y,x),y) = R(x,y,x). K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x * y,y) * K(y,x) = y \ R(y,x,y). 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). K(1 / ((x * y) \ x),z) = K(y,z). (x * y) * K(y,z) = x * T(y,z). (x / y) \ (x * K(y,z)) = T(y,z). x * K(y,z) = (x / y) * T(y,z). (x / y) * T(y,z) = x * K(y,z). (x * y) \ (x * T(y,z)) = K(y,z). (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. L(K(x,y),x,z) = K(x,y). (x / y) * T(y,z) != u | x * K(y,z) = u. K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. L(K(x,y),z * x,u / (z * T(x,y))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. a(x,y,K(y,z)) = 1. ((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)). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). (x * y) * K(y,z) != u | x * T(y,z) = u. ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * y != (z / u) * T(u,u \ z) | x \ (u * (z / u)) = y. x \ (y * (x / y)) = K(y,y \ x). (x / y) \ (x * K(y,z)) != u | u = T(y,z). (x / y) \ (x * K(y,z)) != u | T(y,z) = u. (x * K(y,z)) * y = x * T(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). 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 != (y * (z \ 1)) * z | R(y,z \ 1,z) = x. R(x,T(y,z) \ 1,T(y,z)) = ((x * (T(y,z) \ 1)) * K(y,z)) * y. ((x * (T(y,z) \ 1)) * K(y,z)) * y = R(x,T(y,z) \ 1,T(y,z)). x * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. x * y != (z / u) * T(u,w) | x \ (z * K(u,w)) = y. ((x / y) * K(y,z)) \ (x * K(y,z)) = y. (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). (x * y) \ ((z * T(x,u)) * y) = R(T(z * K(x,u),x * y),x,y). R(T(x * K(y,z),y * u),y,u) = (y * u) \ ((x * T(y,z)) * u). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. (x * (y * K(z,y))) * z = (x * y) * T(z,y). L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z * K(y,u),w)) = v5. K((x \ y) \ z,z) = K(y \ (x * z),z). L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. x != K(y \ (z * y),y) | K(z,y) = x. K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). x * T(x \ y,z) != u | K(y / x,z) * y = u. K(x / y,z) * x = x * K(y \ x,z). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K(y \ x,z). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x \ (y * T(y \ x,z)) != u | u = K(y \ x,z). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. x \ (y * (z * T(z \ (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 * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). x * y != y * K(z,y) | K(z,y) = x. K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). x * L(y,z,u) != L(y,z,u) * K(w,y) | K(w,y) = 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,z) * x != x * u | K(y \ x,z) = u. x \ (y * K(x,z)) = T((y / x) * K(x,z),x). T((x / y) * K(y,z),y) = y \ (x * K(y,z)). 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. K(x,y / z) = K(x,(y \ 1) \ (z \ 1)). K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). K(x,(y / z) \ 1) = K(x,z / y). L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). 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,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) * y = y * K(x,(y \ z) \ 1). x * K(y,(x \ z) \ 1) = K(y,x / z) * x. 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) \ ((x * K(z,u \ x)) * y) = R(T(K(z,x / u),x * y),x,y). T(K(x,y),x) != z | K(x,y) = z. K(x,x / y) = K(x,y \ x). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). x != T(K(y,z),y) | K(y,z) = x. K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,(y \ z) \ z) != u | K(x,T(y,y \ z)) = u. K(x,T(y,y \ z)) = T(K(x,y),z). K(x,R(T(K(x,y),z),u,w)) = 1. K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). K(x * y,T(y,x)) = K(x * y,y). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). K(x * y,x) = K(x * y,T(x,y)). K(x * y,T(x,y)) = K(x * y,x). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). a(x,y \ 1,K(z,y)) = 1. R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. 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(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,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. a(x,y \ 1,K(y,z)) = 1. a(x,y,K(y \ 1,z)) = 1. L(K(x,y),x \ 1,z) = K(x,y). L(x,y \ 1,z) != u | L(x,1 / y,z) = u. L(K(x,y),1 / x,z) = K(x,y). (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). K(x,y \ 1) != z | K(x \ 1,y) = z. K(x / y,z \ 1) != u | K(y / x,z) = u. K(x \ y,z \ 1) != u | K(y \ x,z) = u. K(1 / x,y) != z | K(x,y \ 1) = z. K(1 / (x / y),z) != u | K(y / x,z) = u. K(K(x,y) * z,u \ 1) != w | K(z \ K(y,x),u) = w. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). K((1 / x) * y,y) != z | K(x \ y,y) = z. L(K(x,y),x,z) != u | K(x,y) = u. K(x,y \ x) = K(x,L(y \ x,y,z)). K(x,L(y \ x,y,z)) = K(x,y \ x). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). K(x,(y * z) \ (y * x)) = K(x,z \ x). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). 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(y,(z \ u) \ y) | K(y,u \ (z * y)) = x. K(x,y \ (z * x)) = K(x,L((z \ y) \ x,y / z,z)). K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w. K(x \ (y * z),(y \ u) \ z) = K((y \ x) \ z,u \ (y * z)). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). T(K(x,y \ (z * u)),w) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). 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 != 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)). (x * (y / x)) * (y \ x) = T(x,x \ y). T(x,x \ (y * x)) / ((y * x) \ x) = x * y. T(x,y / x) / (y \ x) = x * (y / x). K(x,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). x != K(y \ 1,z) | K(1 / y,z) = x. K(1 / x,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(1 / y,z). K((x * y) \ x,z) != u | K(y,z \ 1) = u. (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). L(x,K(x,y),z) = x. 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 \ (x * y)) * x = L(y * x,K(x * y,z),u). L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. 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 \ (z * x)) = K(x,x / (z \ y)). K(x,x / (y \ z)) = K(x,z \ (y * x)). K(x,(y / z) \ 1) != u | u = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. K(x,(y \ 1) \ z) != u | K(x,y / (z \ 1)) = u. K(x,(y \ 1) \ (z \ 1)) != u | K(x,y / z) = u. (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. x * y != L(K(z,u \ w),w,w \ 1) | x \ K(z,((w \ 1) * u) \ 1) = y. (1 / x) \ K(y,((x \ 1) * z) \ 1) = x * K(y,z \ x). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). x * K(y,(z \ 1) \ x) != (1 / x) \ u | K(y,z * x) = u. (1 / x) \ y != x * K(z,(u \ 1) \ x) | K(z,u * x) = y. L(K(x,y),y \ 1,z) = K(x,y). (x * ((y \ 1) * K(z,y))) * 1 = (x * (y \ 1)) * K(z,y). L(K(x,1 / y),y,z) = K(x,1 / y). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. x * (((x \ y) \ 1) \ 1) = K(z \ 1,z) * y. K(x \ 1,x) * y = z * (((z \ y) \ 1) \ 1). K(x \ 1,x) * (y / z) != u | y / ((z \ 1) \ 1) = u. x / ((y \ 1) \ 1) = z * (((z \ (x / y)) \ 1) \ 1). x * (((x \ (y / z)) \ 1) \ 1) = y / ((z \ 1) \ 1). K(x,K(y,y \ x)) = 1. x * K(y,K(z,z \ y)) = x. (x \ K(x,y)) * z = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(w,w \ 1) = a(x,y,z). K(L(x,y,z) \ 1,x) = K(u \ 1,u). x != K(y \ 1,y) | K(y \ 1,T(y,z)) = x. K(x \ 1,T(x,y)) = K(z \ 1,z). K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * T(z,u). 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). K(x,y) \ ((x \ 1) * (T(x,y) * z)) = L(z,T(x,y),x \ 1). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). K(x,1 / x) * (y \ 1) = 1 / y. 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 \ 1) * ((x \ 1) * z) = L(z,x \ 1,x) * T(L(z,x \ 1,x) \ (x \ L(z,x \ 1,x)),y). L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = K(y,z \ 1) * ((y \ 1) * x). K(L(x,y,z) \ x,u \ 1) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). x * (y \ ((z \ (y * (x \ 1))) * z)) = K((x * (y \ z)) \ 1,z). x \ K((x * (y \ 1)) \ 1,z) = y \ T(y * (x \ 1),z). x \ T(x * (y \ 1),z) = y \ K((y * (x \ 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)). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (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). 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(x,z) * u) != w | w = K(x,z) * (K(x,y) * u). K(x,y) * (K(x,z) * u) != w | K(x,z) * (K(x,y) * u) = w. 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). K(x,y) * z = K(y,u) * (K(x,y) * (K(y,u) \ z)). K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * 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). (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 \ T(y,z) | K(y,z) = x. K(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. K(x,x * y) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,x * y). K(x / y,z) * (x * K(y,u)) != w | T(x / y,z) * T(y,u) = w. (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). T(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) / 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 * 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) * 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. T(x,y) * T(y,z) = (y \ (x * T(y,z))) * y. (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). T(x,y) \ (z * x) = T(T(x,y) \ (x * z),x). T(T(x,y) \ (x * z),x) = T(x,y) \ (z * x). x * y != z * T(y,u) | z * K(y,u) = x. T(x,y) * K(y,z) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y,x) * K(x,z). T(x * K(y,z),y) * y = T(x,y) * T(y,z). T(x,y) * K(y,z) = T(x * K(y,z),y). x * y != z * T(y,u) | (z / y) * T(y,u) = x. (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). T(x * K(y,z \ 1),y \ 1) * (y \ 1) = T(x,y \ 1) * T(y \ 1,z). x * K(y,z) != T((K(z,y) * u) * K(y,z),w) | K(z,y) * T(u,w) = x. K(x,y) * T(z,y) = T(K(x,y) * z,y). (x \ y) * K(x,z) = T((y / x) * K(x,z),x). T((x / y) * K(y,z),y) = (y \ x) * K(y,z). x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. T((x / y) * K(y,z),y) != u | y \ (x * K(y,z)) = u. x \ (y * K(x,z)) = (x \ y) * K(x,z). x * ((x \ y) * K(x,z)) = y * K(x,z). K(x,y) * z != x \ (u * K(x,y)) | T(x \ u,K(x,y)) = z. T(x \ y,K(x,z)) = T(x,z) \ (y * K(x,z)). T(x,y) \ (z * K(x,y)) = T(x \ z,K(x,y)). (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). R(x,y,K(x,z)) = x. L(K(x,y),z,x) = K(x,y). (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. K(x,x * y) = K(x,(x \ 1) \ y). K(x,(x \ 1) \ y) = K(x,x * y). (x * (y * K(x,z))) * x = (x * y) * T(x,z). K(x,L(y,z,x)) = K(x,y). x \ (x * K(y,z)) = L(K(y,z),u,y). L(K(x,y),z,x) = u \ (u * K(x,y)). L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. K(x,(x * y) \ z) = K(x,y \ (x \ z)). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,x),z) = K(x,z). a(x,y,K(x,z)) = 1. x * y != L(K(z,u),w,z) | x \ K(z,u) = y. (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,T(y \ (x * z),u)) = K(x,T((x \ y) \ z,u)). K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). x * K(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = x * K(x,y). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(T(x / (x / y),x),z) = K(y,z). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). K(x,y) * L(x,z,x) = L(T(x,y),z,x). x / K(y,x) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x / K(y,x). L(x,y,x) * K(x,z) = L(T(x,z),y,x). 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(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). 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). 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 \ (x * w)) = K(L(x,y,z),(x \ u) \ w). K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). K(x,y) * T(z,y) != u | T(y,x) \ (z * y) = u. T(x,y) \ (z * x) = T(K(y,x) * z,x). K(x \ 1,y) * z != u | K(x,y \ 1) * z = u. K(x,y \ 1) * T(z,y) = T(K(x \ 1,y) * z,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,x) = T(z,x). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). T(x,y) \ z != u | x \ (K(y,x) * z) = u. x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). (K(x,y) * z) * y = K(x,y) * (z * y). L(x,y,K(z,x)) = x. x != y / K(z,y) | T(y,z) = x. T(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = T(x,y). L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. x != T(y,z) | y * K(y,z) = x. x * K(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x * K(x,y). 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). K(x,L(y,z,y)) = K(x,y). L(K(x,y),z,y) = K(x,y). K(x,T(y / z,y)) = K(x,z \ y). K(x,y) = K(x,R(y,z,y)). K(x,R(y,z,y)) = K(x,y). x != K(y,z) | 1 / K(z,y) = x. 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). 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). K(x,R(y,z,y)) != u | K(x,y) = u. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,(y \ z) \ z) != u | T(K(x,y),z) = u. T(K(x,y),z) = K(x,T(y,z)). K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). K(x,T(y,z)) = K(x,T(y,z * y)). K(x,T(y,z * y)) = K(x,T(y,z)). L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). 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). x * y != T(K(z,u),w) | K(z,T(u,w)) / y = x. K(x,T(y,z)) / z = K(x,y) / T(z,K(x,y)). T(K(x,T(y,z)),u) = T(T(K(x,y),u),z). T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). T(K(x,T(y,z)),u) = K(x,T(T(y,u),z)). T(K(x,L(y,z,u)),w) = K(x,L(T(y,w),z,u)). x * K(y,T(z,x)) = K(y,z) * x. x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. x * (y * K(z,T(u,y))) = x * (K(z,u) * y). x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). T(K(x,y),K(z,y)) = K(x,y). T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. x * T(K(x,y),z) = T(x,T(y,z)). K(x,K(y,T(z,x))) = K(x,K(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). T(K(x,K(y,z)),u) = K(x,K(y,T(z,u))). x * y != K(x / z,u) * x | K(z \ x,u) = y. K(x \ y,z) = K(y / x,T(z,y)). K(x / y,T(z,x)) = K(y \ x,z). 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) \ (z * (K(x,T(y,z)) * u)) = L(u,K(x,T(y,z)),z). x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. 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). x \ (y * (K(z,u) * (y \ x))) = L(K(z,T(u,y \ x)),y \ x,y). L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). (K(x,y) * z) * T(y,z) = z * (T(y,z) * K(x,T(y,z))). x * (T(y,x) * K(z,T(y,x))) = (K(z,y) * x) * T(y,x). K(x,T(y,z)) = K((x \ z) \ z,y). K((x \ y) \ y,z) = K(x,T(z,y)). L(x,y / z,K(z \ y,u)) != w | w = x. K((x \ y) \ y,z) != u | K(T(x,y),z) = u. K(T(x,y),z) = K(x,T(z,y)). ((x \ y) \ y) * (z * K(x,T(z,y))) = T((x \ y) \ y,z) * z. 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). a(x,y,K(z,T(y,u))) = 1. K(x,T(y,z)) \ 1 = K(y,T(x,z)). x / T(x,T(y,z)) = K(y,T(x,z)). x != K(y,T(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = K(T(x,z),y). x != K(y,T(z / u,z)) | K(y,u \ z) = x. K(x,y \ z) = K(T(x,z),z / y). K(T(x,y),y / z) = K(x,z \ y). x != K(y,T(z \ 1,L(z,u,w))) | K(y,z \ 1) = x. 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(T(y,z),u) = x * K(y,T(u,z)). x * y != K(T(z,u),w) | x \ K(z,T(w,u)) = y. x \ K(y,T(x,z)) = T(x,T(y,z)) \ 1. T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(T(x,y),z / y) = K(x,y \ z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(T(x,(1 / y) \ z),z * y) = K(x,z * y). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x \ y,z) = K(x \ y,T(z,y / x)). K(x \ y,T(z,y / x)) = K(x \ y,z). K(x,y) = K(x,T(y,K(x,z))). K(x,T(y,K(x,z))) = K(x,y). K(T(x,K(y,z)),y) = K(x,y). K(x,T(y,z)) * T(y,T(x,z)) = y. T(x,T(y,z)) * K(y,T(x,z)) = x. K(x,T(y,z)) * T(x,z) = T(T(x,z),y). K(x,T(y,z)) \ u = K(y,T(x,z)) * u. x / K(y,T(x,z)) = T(x,T(y,z)). T(x,y) * K(x,T(z,y)) != u * w | u \ T(T(x,y),z) = w. K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,y). K(x \ y,z) = K(x \ y,T(z,y \ x)). K(x \ y,T(z,y \ x)) = K(x \ y,z). x * K(T(y,x),z) = K(y,z) * x. K((x * y) \ z,x) = K(y \ (x \ z),x). K(L(x,y,z),z) = K(x,z). K(x \ (y * z),y) = K((y \ x) \ z,y). K((x \ y) \ z,x) = K(y \ (x * z),x). a(x,y,K(z,x)) = 1. (x * y) * K(z,x) = x * (y * K(z,x)). 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). x != y * ((z \ (y \ 1)) * z) | K(y \ (z \ 1),z) = x. K(x \ (y \ 1),y) = ((y \ (1 / x)) * y) * x. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),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). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). 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). K((x \ 1) \ y,x) != z | K((1 / x) \ y,x) = z. K((1 / x) \ y,x) = K(x * y,x). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). x \ T(x * y,x) = y * K(x * y,x). x * (y * K(x * y,x)) = T(x * y,x). K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). x * T(y * K(z,y),x) = (K(z,y) * x) * T(y,x). (K(x,y) * z) * T(y,z) = z * T(y * K(x,y),z). (x * K(y,x)) * z = (K(y,x) * z) * T(x,z). (K(x,y) * z) * T(y,z) = (y * K(x,y)) * z. L(K(x,y),z,x) != u | u = K(x,y). L(K(x,y),z,x) != u | K(x,y) = u. K(x,L(y,z,x)) != u | K(x,y) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K(T(x / (x / y),x),z) != u | K(y,z) = u. K(x,y) != z | K(R(x,u,x),y) = z. K((x / y) \ x,z) != u | K(y,z) = u. 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 * 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,(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,L(y,x,z)) = K(x,z \ (x \ (z * (x * y)))). K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). 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)). 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)). x * T(x \ (y \ x),z) != u | K(y \ 1,z) * (y \ x) = u. K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). K(x,y) * T(z,x) = T(K(x,y) * z,x). T(x / y,z) * y = K(z,u) * (y * T(y \ (K(z,u) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. T(x,y) * K(z,y) = T(x * K(z,y),y). L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). K(L(x,y,K(z,u)),u) = 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. 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 * 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)). (x * (K(y,x) * z)) * K(x,y) = T(x * z,K(x,y)). (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) = R(T(x,y),z,K(x,u)). R(T(x,y),z,K(x,u)) = T(x,y). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). 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(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 \ 1,y,K(x,z)) = x \ 1. R(x,y,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). x != R(T(y,z),y \ z,y) | (y \ z) \ z = x. (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 != R(T(y,z),y \ z,y) | T(y,y \ z) = x. T(x,x \ y) = R(T(x,y),x \ y,T(x,z)). R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). 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). x * T(y,z) != u | x * (z \ (y * z)) = u. K(x,y) * (x \ (z * x)) = T(K(x,y) * z,x). K(x,y) * L(T(z,x),u,w) = T(K(x,y) * L(z,u,w),x). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). K(x,y) * K(x,z) = K(x,z) * K(x,y). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. x * R(y,z,u) != R(y,z,u) * K(y,w) | K(y,w) = x. K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,T(y,z)) * u != x | u = K(y,T(x,z)). T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,y) * (x \ z) != u | ((y * x) / y) \ z = u. ((x * y) / x) \ (z * y) = T(K(y,x) * z,y). T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. K(x,T(y,z)) != u | K(T(x,z),y) = u. L(K(x,y),z,L(x,u,w)) = K(x,y). K(L(x,y,L(x,z,u)),w) = K(x,w). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). x != K(T(y,z),u) | K(y,T(u,z)) = x. 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(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). x * y != T(y,z) | K(y,z) = x. K(x \ K(y,z),y) = K(x \ 1,y). x != K(y \ 1,z) | K(y,z \ 1) = x. K(x,y \ 1) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x,y \ 1). K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). x * T(x \ K(y,z),y) = K(y,z) * K(x \ 1,y). K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). K(x \ K(y,z),y) != u | K(x,y \ 1) = u. K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. T(T(x,y) \ (x * z),x) != T(x,y) \ u | z * x = u. T(T(K(x,y),z),u) = K(x,T(T(y,u),z)). T(x,T(y,T(x,z))) != u | T(x,y) = u. T(x,T(x,y) / z) = T(x,z \ T(x,y)). T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,T(y,y \ z)) = T(x,T(y,z)). (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. x * ((K(y,x) * z) * K(x,y)) = T(x * z,K(x,y)). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(x \ (y \ x),z) = K(y \ 1,T(z,x)). 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(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). x * T(x \ y,z) = K(z,u) * (x * T(x \ (K(z,u) \ y),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). K(x,y) * (K(z,x) * u) = ((1 / z) * u) * T(((1 / z) * u) \ (K(x,y) * u),x). ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). x * y != K(z,u) * (K(w,z) * x) | T(K(z,u) * K(w,z),x) = y. T(K(x,y) * K(z,x),u) = u \ (K(x,y) * (K(z,x) * u)). x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). x != K(y,z) * (K(u,y) * w) | K(u,y) * (K(y,z) * w) = x. 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). L(x,K(y,z),K(z,u)) = x. x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). (x \ R(x,y,x)) * z = K(x,y) * (K(x * y,x) * z). K(x,y) * (K(x * y,x) * z) = (x \ R(x,y,x)) * z. (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). K(x,y) * (K(y,z) * u) = (K(x,y) * K(y,z)) * u. (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). x != y * (K(z,u) * K(u,z)) | y = x. K(x,y) = (K(z,x) * K(x,y)) * K(x,z). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). R(K(x,y),K(y,z),u) = K(x,y). L(x,K(y,z),K(u,y)) = x. x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x * 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) * 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) * 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). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) != w | ((K(y,x) * z) * u) / (K(y,x) * (z * u)) = w. ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). x * ((x \ R(x,y,x)) * z) = T(x,y) * (K(x * y,x) * z). T(x,y) * (K(x * y,x) * z) = x * ((x \ R(x,y,x)) * z). 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). L(x,K(y,z),K(u,y)) != w | x = w. (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). x != K(y,z) \ u | K(z,y) * u = x. K(x,y) * z = L(K(y,x) \ z,K(u,w),K(w,v5)). L(K(x,y) \ z,K(u,w),K(w,v5)) = K(y,x) * z. (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). L(x,K(y,z),K(z,u)) != w | x = w. L(x,K(y,T(z,u)),K(z,w)) = x. 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. T(x * y,K(y,z)) = y * T(x,T(y,z)). x * T(y,T(x,z)) = T(y * x,K(x,z)). x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. T(x,T(y,z)) * y = T(T(x,y) * y,K(y,z)). T(T(x,y) * y,K(y,z)) = T(x,T(y,z)) * y. x * T(y,z) != u | (x * y) * K(y,z) = u. (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | x = w. L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) != w | z \ (K(y,x) * u) = w. ((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). T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. K(x,T(y,x * y)) * z = T(x,x * y) * (L(x,y,x) \ z). T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). x * (x * (L(x,y,x) \ z)) = T(x,y) * (K(x * y,x) * z). T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). T(x * y,K(y,z)) != u | y * T(x,T(y,z)) = u. R(x,y,K(z,x)) = x. R(x,y,K(z,T(x,u))) = x. R(x,y,z) = R(R(x,y,z),u,K(w,x)). R(R(x,y,z),u,K(w,x)) = R(x,y,z). T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). L(x,y,z) * (u * K(w,x)) = (L(x,y,z) * u) * K(w,x). (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). R(x,y,K(z,x \ 1)) = x. x * (y * K(z,T(x,u))) = (x * y) * K(z,T(x,u)). (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). x * (y * K(z,T(x,u))) != w * K(z,T(x,u)) | x * y = w. x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. x * K(y,x \ 1) = T(x \ 1,y) \ 1. T(x \ 1,y) \ 1 = x * K(y,x \ 1). (T(x,y) \ 1) * y = (x \ 1) * T(y,x). x * y != z * K(u,z \ 1) | x \ (T(z \ 1,u) \ 1) = y. x \ (T(x \ 1,y) \ 1) = K(y,x \ 1). x \ (T(x \ 1,y) \ 1) != z | z = K(y,x \ 1). x \ (T(x \ 1,y) \ 1) != z | K(y,x \ 1) = z. x * K(y,x \ 1) != z | T(x \ 1,y) \ 1 = z. K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). K(R(x,x \ y,z),u) != w | R(K(x,u),y,z) = w. R(K(x,y),z,x) = K(x,y). R(x,y,x) * K(x,z) = T(R(x,y,x),z). x * K(R(x,y,x),z) = T(x,z). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,y \ z) = K(x,y \ (K(u,u \ 1) * z)). K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. 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). x != K(y,(z / u) \ 1) | K(y,u / z) = x. K(x,((x * y) * z) / ((u * y) * z)) = K(x,R(u / x,x * y,z) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5. R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y),x * z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u \ x) = K(x,((x * y) * z) / ((u * y) * z)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). R(K(x,y \ x),z,u) = K(x,(z * u) / ((y * (x \ z)) * u)). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). x != K(y,z) * (z \ u) | T(z,y) \ u = x. T(x,y) \ z = (x \ z) * K(y,T(x,z)). (x \ y) * K(z,T(x,y)) = T(x,z) \ y. L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). K(x,y) * ((y * z) * x) = (y * (K(x,y) * z)) * x. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). L(x,y,K(x,z)) = x. L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). T(x,y) = L(T(x,y),z,K(x,u)). L(T(x,y),z,K(x,u)) = T(x,y). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). L(x \ 1,y,K(x,z)) = x \ 1. K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). K(R(x,y,R(x,z,u)),w) = K(x,w). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z * x)) = K(x,T(y,z)). K(x,T(y,z / x)) = K(x,T(y,z)). 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)). 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). T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. x * (K(y,x) * z) = ((y * x) / y) * z. ((x * y) / x) * z = y * (K(x,y) * z). ((x \ ((y \ 1) * x)) \ 1) * (y \ z) = K(x \ 1,y) * z. ((x * y) / x) * z != u | (y * K(x,y)) * z = u. (x * K(y,x)) * z = x * (K(y,x) * z). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). (x / (x / y)) * z = y * (K(y \ x,y) * z). R(x * K(y,x),z,u) * w = R(x,z,u) * (K(y,R(x,z,u)) * w). R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. R(x,K(y,x),z) = x. x != y * (K(z,y) * u) | K(z,y) * (y * u) = x. K(x,y) * (y * z) = (y * K(x,y)) * z. (x * K(y,x)) * z = K(y,x) * (x * z). L(x,K(y,z),z) = x. (K(x,y) * z) * u != (y * K(x,y)) * z | T(y,K(x,y) * z) = u. T(x,K(y,x) * z) = T(x,z). (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). x != L(y,K(z,u),u) | x = y. L(x,K(y,z),z) != u | u = x. (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. L(x,K(y,z \ 1),z) = x. (x * K(y,x)) \ z != u | u = K(x,y) * (x \ z). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. K(x,y \ (z * K(u,z))) != w | w = K(x,(z \ y) \ K(u,z)). K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. K(x,R(y,z,u)) * ((y * z) * u) = R(y * K(x,y),z,u) * (z * u). R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). ((x * K(y,x)) * z) * u = K(y,R(x,z,u)) * ((x * z) * u). K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * ((y * z) * u) != (y * (K(w,y) * z)) * u | R(K(w,y),y * z,u) = x. R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). R(K(x,y),z,x) != u | K(x,y) = u. K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). 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)). R(K(x,y),z,u) = K(x,R(y,y \ z,u)). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). 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). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). T(x,y) = T(x,K(x,z) * y). T(x,K(x,y) * z) = T(x,z). T(x,K(x,y) \ z) = T(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 / x) \ z) = T(x,(x \ y) \ z). T(x,y \ z) = T(x,T(y,x) \ z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,K(y,x \ 1) * z) = T(x,z). 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). R(x,y,z) * (K(u,x) * w) = (R(x,y,z) * K(u,x)) * w. (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * 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) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. R(K(x,y),R(y,z,u),w) = K(x,y). R(K(x,y),y,z) = K(x,y). K(R(x,y,z) \ 1,y) = K(x \ 1,y). K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(x,y,x) * z = T(x,y) * (K(x * y,x) * z). T(x,y) * (K(x * y,x) * z) = R(x,y,x) * z. T(x,y) * (K(x * y,x) * z) != u | x * (x * (L(x,y,x) \ z)) = u. x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. T(x,y) * (K(x * y,x) * z) != u | x * ((x \ R(x,y,x)) * z) = u. x * ((x \ R(x,y,x)) * z) = R(x,y,x) * z. R(x,y,x) \ (x * z) = (x \ R(x,y,x)) \ z. (x \ R(x,y,x)) \ z = R(x,y,x) \ (x * z). x * y != R(x,z,u) * w | R(x,z,u) * (x \ w) = y. R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). K(x,(y / x) / z) = K(x,y / (z * x)). 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)). 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,R(x,u,w)) != v5 | K(x,y) = v5. 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 / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). 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). x != K(y,z / u) | K(y,(u / z) \ 1) = x. K(x,(y / (x * z)) \ 1) = R(K(x,(y / z) \ x),x,z). R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). K(x,(y \ z) \ x) != u | K(x,z \ (y * x)) = u. 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,x) * z) != u | K(y,x) * (x * z) = u. K(x,x \ y) * ((x \ y) * z) = (y / x) * z. (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. K(x,y) * (y * z) != u | (y * z) * K(x,T(y,z)) = u. ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. x != T(y,L(K(z,y),u,w)) | y = x. x = T(x,K(x,y) * L(K(z,x),u,w)). T(x,K(x,y) * L(K(z,x),u,w)) = x. T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). T(x \ 1,K(x,y) * z) = T(x \ 1,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). (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 \ 1,y) \ 1) * (x \ z) = K(y \ 1,x) * z. (T(x,y) \ 1) * ((x \ 1) \ z) = K(y \ 1,x \ 1) * z. (T(x,y) \ 1) * ((x \ 1) \ z) = K(y,x) * z. (T(x,y) \ 1) * z = K(y,x) * ((x \ 1) * z). K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. ((T(x,y) \ 1) * z) \ (K(y,x) * ((x \ 1) * (z * u))) = L(L(u,z,x \ 1),(x \ 1) * z,K(y,x)). ((T(x,y) \ 1) * z) \ ((T(x,y) \ 1) * (z * u)) = L(L(u,z,x \ 1),(x \ 1) * z,K(y,x)). L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = ((T(z,u) \ 1) * y) \ ((T(z,u) \ 1) * (y * x)). L(x,y,T(z,u) \ 1) = L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)). L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z,u) \ 1). L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) != w | L(x,y,T(z,u) \ 1) = w. 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). (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. (1 / x) \ (1 / R(x,y,z)) != u | (x \ R(x,y,z)) \ 1 = u. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. (x * (R(y,z,u) \ y)) \ 1 = (y \ R(y,z,u)) * (x \ 1). K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). x * (y * ((x \ z) / y)) = z * K(y,x \ (y \ z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). x != (y * ((1 / z) / y)) * z | K(y,z \ (y \ 1)) = x. K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). x \ K(y,x \ (y \ 1)) = y * ((x \ 1) / y). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). x * y != z * (u * ((z \ x) / u)) | K(u,z \ (u \ x)) = y. K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). x * K(y,y \ z) = (x / (y \ z)) * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). (x * (y / z)) * z = (x * (z \ y)) * T(z,z \ y). (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. ((x * (y / z)) * z) / y = R(x,z \ y,(z \ y) \ y). R(x,y \ z,(y \ z) \ z) = ((x * (z / y)) * y) / z. x != ((y * (z / u)) * u) / z | R(y,z / u,u) = x. R(x,y / z,z) = R(x,z \ y,(z \ y) \ y). R(x,y \ z,(y \ z) \ z) = R(x,z / y,y). R(x,y \ z,(y \ z) \ z) != u | R(x,y \ z,T(y,y \ z)) = u. R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). (x * K(y,x)) * z != K(y,x) * (x * u) | L(u,x,K(y,x)) = z. L(x,y,K(z,y)) = x. a(K(x,y),y,z) = 1. L(x,T(y,z),K(z,y)) = x. L(T(x,K(y,x)),K(y,x),z) = x. (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. 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)). x * y != K((((z \ u) \ 1) * (z \ 1)) \ 1,w) | K(u,w) / y = x. K(x,y) / (z \ T(x,y)) = 1 / (z \ x). 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 \ T(y,z))) \ K(z,y) = x \ y. (1 / (x \ y)) \ K(y,z) != u | u = x \ T(y,z). (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. (1 / x) \ K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = (1 / z) \ K(y,x). x != (y / (z \ y)) \ u | z \ u = x. x \ K(y,z) = (T(z,y) / (x \ 1)) \ z. (T(x,y) / (z \ 1)) \ x = z \ K(y,x). K(x,T(y,z)) * (T(x,z) * u) = T(T(x,y),z) * u. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). 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(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = v7. K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). x != K(y,(z \ u) \ 1) | K(y,u \ z) = x. 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). x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). K(x,(y * (x / y)) \ z) = K(x,K(y,y \ x) \ (x \ z)). K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). K(x,K(y \ x,y) * T(z,x)) = K(x,(y * (x / y)) \ (z * x)). K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. x != y * T(z,u) | (y * K(z,u)) * z = x. (((T(x,y) * z) \ 1) * K(x,y)) * x = L(z,T(x,y),T(x,y) \ 1) \ 1. ((x * y) \ 1) * x != z \ 1 | L(y,x,x \ 1) = z. x \ 1 != ((y * z) \ 1) * y | L(z,y,y \ 1) = x. R(x,y,T(z,u)) != T(z,y) | T(z,y * T(z,u)) = x. T(x,(x \ y) * T(x,z)) = T(x,y). T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). T(x \ 1,y) * (K(x,z \ 1) * u) = K(x \ 1,y) * (T(x \ 1,z) * u). x != K(y \ 1,z) * u | K(y,z \ 1) * u = x. K(x,y \ 1) * (T(x \ 1,z) * u) = T(x \ 1,y) * (K(x,z \ 1) * u). T(x \ 1,y) * (K(x,z \ 1) * u) = K(x,y \ 1) * (T(x \ 1,z) * u). x != K(y,z) * (K(z,u) * w) | K(z,u) * (K(y,z) * w) = x. K(x,y) * (K(z,x) * u) = T(x,z) \ (x * (K(x,y) * u)). T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). x != K(y,z) * ((z \ 1) * u) | (T(z,y) \ 1) * u = x. (T(x,y) \ 1) * z = T(x,y) \ (x * ((x \ 1) * z)). T(x,y) \ (x * ((x \ 1) * z)) = (T(x,y) \ 1) * z. T(x,y) * (K(y,x) * z) != u | x * z = u. K(x,y) * z != u | y * (T(y,x) \ z) = u. K(x,T(y,z)) * (K(z,y) * u) != w | T(T(y,z),x) \ (y * u) = w. T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). 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(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. K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). ((x * y) \ x) * (x * y) = x * K(y,(x * y) \ 1). (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). L(K(x,T(y,z)),y,u) = K(x,T(y,z)). x * (y * K(z,x \ 1)) = (x * y) * K(z,x \ 1). (x * y) * K(z,x \ 1) = x * (y * K(z,x \ 1)). x * (K(y,x \ 1) * z) = (x * K(y,x \ 1)) * z. (x * K(y,x \ 1)) * z = x * (K(y,x \ 1) * z). x * K(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = x * K(x,y). K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). 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). K(x,y) * (T(x,z) * u) = (K(x,y) * T(x,z)) * u. (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). 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 != y * K(y,z) | T(y,z) = x. T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). K(x,L(y,z,K(u,x))) = K(x,y). (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) = ((u * (z * x)) / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). T(x,y * T(z,x)) = T(x,y * z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,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). K(x,y \ ((z * u) \ z)) = K(x,y \ L(u \ 1,u,z)). K(x,y \ L(z \ 1,z,u)) = K(x,y \ ((u * z) \ u)). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). L(x \ T(x,y),x,z) != u | K(x,y) = u. (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). (K(x,y) * z) * K(u,x) != w | K(x,y) * (z * K(u,x)) = w. 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)). L(x,K(y,x),z) = x. (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). (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)) * T(z,y) = x * z. (x / T(y,z)) * y = x * K(z,y). (x * K(y,z)) \ (x * z) = T(z,y). x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). (x * K(y,x \ z)) \ z = T(x \ z,y). x * T(y,z) != (y \ z) * y | y \ T(z,y) = x. x \ T(y,x) = (x \ y) * K(y,x). (x \ y) * K(y,x) = x \ T(y,x). x * T(y,z) != (u * K(y,z)) * y | u = x. x = (x * K(y,z)) * K(z,y). (x * K(y,z)) * K(z,y) = x. x * T(y,y \ z) != (y * (z / y)) * y | z = x. x = (y * (x / y)) * K(y \ x,y). (x * (y / x)) * K(x \ y,x) = y. x * y = (x * T(y,z)) * K(z,y). (x * T(y,z)) * K(z,y) = x * y. (x * T(y,z)) * T(z,y) = (x * y) * z. x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. T(x * K(y,z),K(z,y)) = K(y,z) * x. (x * K(y,z)) \ x = K(z,y). x * K(y,z) != T(u,K(y,z)) | K(z,y) * u = x. K(x,y) * z = T(z,K(y,x)) * K(x,y). T(x,K(y,z)) * K(z,y) = K(z,y) * x. x * K(T(y,z),u) != K(y,u) * z | z = x. x = (K(y,z) * x) * K(z,T(y,x)). (K(x,y) * z) * K(y,T(x,z)) = z. x * K(y,T(z,u)) != K(y,z) * u | u = x. x = (K(y,z) * x) * K(T(z,x),y). (K(x,y) * z) * K(T(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 * (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 * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). x * y != (x * K(z,u)) * (K(u,z) * w) | L(w,K(u,z),x * K(z,u)) = y. (x * K(y,z)) * (K(z,y) * u) != x * w | L(u,K(z,y),x * K(y,z)) = w. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ 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. R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). x != K(y,z \ 1) | K(y,(u * z) \ u) = x. K(x,(y * z) \ y) = (u * K(z \ 1,x)) \ u. (x * K(y,z)) * K(z,y) != u | x = u. ((x * K(y,z)) \ x) \ u = K(y,z) * u. (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). (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 \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). (x * T(x \ y,z)) \ y = K(z,x \ y). (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). (K(x,y) * z) \ z = K(y,T(x,z)). (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. (T(x,y) / (z \ x)) \ z = K(y,((z \ x) \ 1) \ z). K(x,((y \ z) \ 1) \ y) = (T(z,x) / (y \ z)) \ y. a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. (x / y) * K(z,y) != u | x / T(y,z) = u. T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. x != (K(y,z) * u) * K(z,y) | T(u,K(z,y)) = x. T(x,K(y,z)) = (K(z,y) * x) / K(z,y). (K(x,y) * z) / K(x,y) = T(z,K(y,x)). (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). R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). R((x / y) * K(y,z),K(z,y),y) = x / (y * K(z,y)). a(x / K(y,z),K(y,z),K(z,y) * u) = ((x * K(z,y)) * u) \ (x * (K(z,y) * u)). x / K(y,T(z,u)) = x * K(z,T(y,u)). x = T(T(x,K(y,z)),K(z,y)). T(T(x,K(y,z)),K(z,y)) = x. x * K(K(y,z),x) = T(x,K(z,y)). T(x,y) != (z * T(z \ u,y)) / z | u / z = x. x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). T(T(x,K(y,z)),K(z,y)) != u | u = x. (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). x * y != T(x,z) | K(x,z) = y. K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. x != y * K(z,T(u,x)) | K(u,z) * x = y. x * K(y,T(z,u)) != u | K(z,y) * u = x. (K(x,y) * z) \ z != u | u = K(y,T(x,z)). (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. (K(x,y) * z) * T(K(y,x),z) = z. (K(x,y) * z) \ z = T(K(y,x),z). L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. (x * T(y,z)) \ (x * y) != u | K(z,y) = u. (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = 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). K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = (w * R(K(y,x),z,u)) \ w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). x = (x * R(K(y,z),u,w)) * R(K(z,y),u,w). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. (x * K(y,z)) \ x = R(K(z,y),R(z,u,w),v5). R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). (x \ T(y,x)) \ (x \ y) = K(x,y). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). (x * 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). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. 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,L(x,y,y \ 1) \ z) = K(x,((1 / y) * y) \ (x \ z)). K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). (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 * y) \ (z \ u),z) = w. x != (y * T(y \ z,u)) \ z | K(u,y \ z) = x. K(x,y \ z) = K(x,(y * K(x,u)) \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (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 \ z) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(x,z \ u). x != K(y,z) | (u * K(z,y)) \ u = x. (x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z). K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). x * K(x,y \ z) = T(x,(y * K(u,x)) \ z). T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = 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). 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 / 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)). T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). (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). 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). (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,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) \ y) * (x * y) = y * K(x \ 1,x * y). 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 / L(y,z,y)) * K(u,y) = x / T(L(y,z,y),u). K(K(x,y),z) != u | K(z,K(y,x)) = u. (x / y) * K(y,z) = x / (y * K(z,y)). x / (y * K(z,y)) = (x / y) * K(y,z). (x * y) / (y * K(z,y)) = x * K(y,z). 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 * K(z,y \ 1)) = (x / y) * K(y,z \ 1). (x * y) / ((z * y) / z) = x * K(y,z). (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). (x * T(K(y,z) * u,y)) \ (x * (K(y,z) * u)) = K(y,L(u,K(y,z),x)). K(x,K(x,y) * z) = K(x,L(z,K(x,y),u)). K(x,L(y,K(x,z),u)) = K(x,K(x,z) * y). K(x,L(y,z,K(u,x))) != w | K(x,y) = w. K(x,y) = K(x,K(x,z) * y). K(x,K(x,y) * z) = K(x,z). K(x,y) = K(x,K(x,z) \ y). K(x,K(x,y) \ z) = K(x,z). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,K(y,x) \ z) = K(x,z). K(x,T(x,y) * z) = K(x,x * z). K(x,R(K(x,y),z,u) * w) = K(x,w). K(x,T(y,x \ 1) \ z) = K(x,y \ z). K(x,(K(y,x) * z) \ u) != w | K(x,z \ (K(x,y) * u)) = w. K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ T(x,z)) = K(x,y \ x). K(x,y \ z) = K(x,y \ ((x \ z) * x)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). K(x,y \ (z * u)) = K(x,y \ (z * (K(w,x) * u))). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). 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,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 * (u * x))) = K(x,y \ (z * (x * u))). K(x,y \ z) = K(x,y \ (z * K(x,u))). K(x,y \ (z * K(x,u))) = K(x,y \ z). K(x,y \ (z * (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,T(z,x),u)) = K(x,L(y,z,u)). 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)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | K(z,y) = x. K(L(x,y,z),u) = K(L(x,K(u,w) * y,z),u). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). x != K(y,z \ (y * u)) | K(y,(y \ z) \ u) = x. K(x,(x \ y) \ z) = K(x,y \ (z * x)). K(x,y \ z) = 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). K(x,K(y,z)) = T(K(z,y),x) * K(y,z). T(K(x,y),z) * K(y,x) = K(z,K(y,x)). K(x,T(y,z)) * u = K(z,K(y,x)) * (K(x,y) * u). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). x * K(y,y * x) = (y * x) / R(y,x,y). (x * y) / R(x,y,x) = y * K(x,x * y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. x * y != K(z,y) | 1 / T(y,z) = x. 1 / T(K(x,y),z) = T(K(y,x),z). T(K(x,y),z) \ 1 = T(K(y,x),z). 1 / T(K(x,y),z) != u | K(y,T(x \ 1,z) \ 1) = u. K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). K(x,T(y,z) \ 1) = T(K(x,1 / y),z). T(K(x,1 / y),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(1 / y,z) \ 1) = T(K(x,y),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)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,y) * K(z,K(y,x)) = K(x,T(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. x != K(y,(y * z) \ u) | K(y,z \ (y \ u)) = x. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). (((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))). (x / (y / z)) * K(z,z \ y) = x / (z \ y). ((x * y) / x) * z != u | y * (K(x,y) * z) = u. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. x * (y \ R(y,x,y)) = T(y * x,y) / y. ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). (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 * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. x != (y * K(z,u)) \ y | K(u,z) = x. 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 | L(K(x,y),y \ 1,u) = z. L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,y * T(z,x)) = K(x,y * z). K(x,K(y,R(x,z,u)) * w) = K(x,w). 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,y) = K(x,K(R(x,z,u),w) * y). K(x,K(R(x,y,z),u) * w) = K(x,w). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. 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 \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). K(x,K(y \ x,y) * T(z,x)) != u | K(x,(y * (x / y)) \ (z * x)) = u. K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). K(x,(y * (x / y)) \ z) != u | K(x,x \ z) = u. K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). x * y != ((z * K(u,w)) * K(u,v5)) * K(w,u) | x \ (z * K(u,v5)) = y. R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. K(x,y) * K(z,u) = K(z,T(u,K(y,x))) * K(x,y). K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). x * K(y \ z,y) != (T(y,z) \ z) * y | T(z,y) = x. T(x,y) = (T(y,x) \ x) * ((y \ x) \ x). (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). x * y != (z * K(u,w)) * K(w,v5) | x \ ((z * K(w,v5)) * K(u,w)) = y. (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) = a(x,K(y,z),K(z,u)). 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)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). (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)). R(x,K(y,z),K(z,u)) = R(x,K(z,u),K(y,z)). R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). (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 * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). R(x,K(y,z),L(z,u,w)) = x. R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(x,y,z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. ((x / y) \ T(x,z)) \ y = K(z,((x / y) \ 1) \ y). K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. x != K(y,(z * (y \ u)) \ w) | L(K(y,u \ ((z \ w) * y)),z \ w,z) = x. L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). (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). T(x * K(y,z),K(z,y)) != u | u = K(y,z) * x. T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. (x * (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 * y) / ((z * y) / z) != u | (x / ((z * y) / z)) * y = u. (x / ((y * z) / y)) * z = x * K(z,y). (x / (y / (y / z))) * z = x * K(z,z \ y). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. x * K(x,y \ z) = T(x,y \ ((x \ z) * x)). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). T(x,y \ z) = T(x,y \ ((x \ z) * x)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). T(x,y \ (z * x)) = T(x,y \ (x * z)). T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. 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. L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. (x \ 1) \ R(x \ 1,y \ 1,y) = x * (((y * x) \ 1) * y). a(x \ 1,y \ 1,y) = x * (((y * x) \ 1) * y). x * (((y * x) \ 1) * y) = a(x \ 1,y \ 1,y). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). T(K(x,y),z) != u | K(x,T(y,z)) = u. K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. K(x,(y * z) \ z) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). K(x \ y,T(z \ 1,u)) != w | K(y \ x,T(z,u)) = w. K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. T(x * K(y,x),y) != z | x = z. T(T(x * K(y,x),z),y) != u | T(x,z) = u. T(T(x / y,z),y) != u | T(y \ x,z) = u. ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). 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,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). T(x,y) \ L(z,x \ 1,x) = (T(x,y) \ 1) * z. L(x,y \ 1,y) = L(x,T(y,z) \ 1,T(y,z)). L(x,T(y,z) \ 1,T(y,z)) = L(x,y \ 1,y). T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). ((x \ y) \ y) \ L(z,x \ 1,x) = (T(x,x \ y) \ 1) * z. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). x * K(x * y,y \ 1) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (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). x \ y != K(z,((y \ u) \ 1) \ y) | T(u,z) / (y \ u) = x. T(x,y) / (z \ x) = (1 / z) \ K((z \ x) * z,y). (1 / x) \ K((x \ y) * x,z) = T(y,z) / (x \ y). (x / y) \ (x * K(y,z \ (u * y))) = T(y,(u \ z) \ y). (x / y) \ (x * K(y,z \ u)) = T(y,z \ (K(y,w) * u)). T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. K(T(x \ 1,y) \ 1,z) != u | T(K(x,z),y) = u. T(K(x,y),z) = K(((x \ 1) * z) \ z,y). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). x != K(y,z \ (y * u)) | K(y,z \ (u * y)) = x. K(x,(y * z) \ (u * x)) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). K(x,(y * (x \ z)) \ u) != w | L(K(x,z \ ((y \ u) * x)),y \ u,y) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (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). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ 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)). 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 \ 1)) \ z) = T(x,y \ (x * z)). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). x != K(y,z) | K(L(y,u,y),z) = x. K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(L(x,y,z),z * y,K(u,z)) != w | L(x,y,z * K(u,z)) = w. L(x,y,x * K(z,x)) = 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),T(z,x),x) != u | L(T(x,y),z,x) = u. L(x,T(y,z) \ 1,T(y,z)) != u | L(x,T(y,z) \ 1,y) = u. L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). L(x,y \ 1,y) / T(y,z) = L(x / T(y,z),T(y,z),T(y,z) \ 1). L(x / T(y,z),T(y,z),T(y,z) \ 1) = L(x,y \ 1,y) / T(y,z). x != T(K(y,z),u) | K(y,T(z,u)) = x. K(x,T(R(y,z,u),w)) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). 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). 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)). 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,z) \ 1) != u | K(x,T(y \ 1,z)) = u. K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. 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(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). 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). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. K(x,(x / y) / x) = K(x,1 / y). K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). (x / y) * K(x,1 / y) = x * ((x / y) / x). 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). ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. T(x,(x / y) / x) = T(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. ((x * y) \ 1) * x = L(y,T(x,z),T(x,z) \ 1) \ 1. L(x,T(y,z),T(y,z) \ 1) \ 1 = ((y * x) \ 1) * y. (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (y * ((z \ 1) \ 1)) = (1 / (1 / x)) / (y * z). (1 / (1 / x)) / (y * z) = x / (y * ((z \ 1) \ 1)). (1 / (1 / x)) / (y * z) = x / ((z * K(y,z)) * ((y \ 1) \ 1)). x / ((y * K(z,y)) * ((z \ 1) \ 1)) = (1 / (1 / x)) / (z * y). x / (((y \ 1) \ 1) * z) = (1 / (1 / x)) / (y * z). (1 / (1 / x)) / (y * z) = x / (((y \ 1) \ 1) * z). (1 / (1 / x)) / (y * (T(y,z) \ 1)) = x / (T(y,z) \ ((y \ 1) \ 1)). (1 / (1 / x)) / K(y,z) = x / (T(z,y) \ ((z \ 1) \ 1)). x / (T(y,z) \ ((y \ 1) \ 1)) = (1 / (1 / x)) / K(z,y). 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 / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). x * K(y,z) != u * z | u * T(z,y) = x. (K(x,y) * K(y,z)) * T(y,x) = T(y,z). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). x != K(((1 / y) * (z \ 1)) \ 1,u) | (1 / y) * (z \ T(z * y,u)) = x. (1 / x) * (y \ T(y * x,z)) = ((1 / x) * T((1 / x) \ y,z)) * (y \ 1). ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). 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. 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). K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). x != K((y \ z) \ z,u) | K(y,T(u,z)) = x. K(x,T(y \ (R(x,z,u) * w),w)) = K(T(x,R(x,z,u) * (x \ w)),(R(x,z,u) \ y) \ w). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x / (K(y \ 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,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). K(x,y \ 1) * T(z,y) = T(K(x,y \ 1) * z,y). K(x,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). L(x,y,y \ 1) \ x = a(y \ 1,y,x). x * (L(x,y,y \ 1) \ 1) = a(y \ 1,y,x). (((x \ 1) * x) \ y) \ (x \ ((x \ 1) \ y)) = a(x \ 1,x,x \ ((x \ 1) \ y)). x * (((y * x) \ 1) * y) = a(y \ 1,y,x). x * (((y * x) \ 1) * y) != z | a(x \ 1,y \ 1,y) = z. a(x \ 1,y \ 1,y) = a(y \ 1,y,x). x * R(x \ 1,y \ 1,y) = a(y \ 1,y,x). a(x,y \ 1,y) = a(y \ 1,y,x \ 1). a(x \ 1,x,y \ 1) = a(y,x \ 1,x). 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,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),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). 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) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. x * (((x \ y) \ 1) \ 1) = (((z / y) \ 1) \ 1) \ z. (((x / y) \ 1) \ 1) \ x = z * (((z \ y) \ 1) \ 1). x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. x / ((((y / z) \ 1) \ 1) * z) = ((x / y) \ 1) \ 1. x / (((y \ 1) \ 1) * z) = ((x / (y * z)) \ 1) \ 1. K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. K(x,y / ((z \ 1) * u)) != w | K(x,y / ((1 / z) * u)) = w. x / (((y \ (x / z)) * y) * z) = K(y,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 / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. 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)). K(x,y \ (x \ 1)) = K(x,z / (x * (y * z))). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). (1 \ x) \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,y \ ((y \ 1) \ x)). a(x \ 1,x,x \ ((x \ 1) \ y)) = (1 \ y) \ (x \ ((x \ 1) \ y)). a(x \ 1,x,x \ ((x \ 1) \ y)) = y \ (x \ ((x \ 1) \ y)). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). R(x,y,K(y,z)) = x. x != R(y,z,K(z,u)) | x = y. R(x,y,K(y,z)) != u | u = x. (x / L(y,z,y)) * K(u,y) = x / L(T(y,u),z,y). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). K(x,y) * z != u / T(y,x) | T(u / y,K(x,y)) = z. T(x / y,K(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 * y) / x) * (x / y) = y * (x / T(y,x)). T(x,K(y,z)) != u | T(u,K(z,y)) = x. T(x / y,K(y,x)) = x / y. (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) * (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,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). R(K(x,x \ R(y,z,u)),(x \ R(y,z,u)) * x,z * u) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). x * y != K(((z * u) \ z) \ 1,u) | 1 / y = x. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). ((x * (y \ x)) / x) * y = (y \ x) * (x / T(y \ x,x)). (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). x != ((y * ((z \ y) \ u)) / u) * (z \ u) | z \ (y * ((z \ y) \ u)) = x. x \ (y * ((x \ y) \ y)) = ((x \ y) \ y) * (y / T(T(x,x \ y),y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). x != y \ (z * ((y \ z) \ z)) | y * (z / T(y,z)) = x. x * (y / T(x,y)) = ((x \ y) \ y) * (y / T(T(x,x \ y),y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). K(x,y) * ((y \ 1) * (T(y,x) * z)) = L(z,T(y,x),y \ 1). K(x,y) * ((y \ 1) * z) != u | (T(y,x) \ 1) * z = u. (T(x,y) \ 1) * (T(x,y) * z) = L(z,T(x,y),x \ 1). L(x,T(y,z),T(y,z) \ 1) = L(x,T(y,z),y \ 1). L(x / T(y,z),T(y,z),T(y,z) \ 1) != u | L(x,y \ 1,y) / T(y,z) = u. L(x,y \ 1,y) / T(y,z) = L(x / T(y,z),T(y,z),y \ 1). L(x / T(y,z),T(y,z),y \ 1) = L(x,y \ 1,y) / T(y,z). L(x,T(y,z),y \ 1) \ 1 = ((y * x) \ 1) * y. L(x,y,y \ 1) = L(x,T(y,z),y \ 1). L(x,T(y,z),y \ 1) = L(x,y,y \ 1). L(x / T(y,z),T(y,z),y \ 1) != u | L(x,y \ 1,y) / T(y,z) = u. L(x,y \ 1,y) / T(y,z) = L(x / T(y,z),y,y \ 1). L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). ((x * K(y,z)) * R(z,u,w)) / K(y,z) = (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x. (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). x != y / K(z,u) | y * K(u,z) = x. (x * (K(y,z) * R(z,u,w))) * K(z,y) = (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x. (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). a(x,y,z) = T(a(x,y,z),x). T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). x \ K(x * y,y \ 1) = (y \ (x \ 1)) * y. x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. x \ y != z | T(x,y) \ ((x * y) / x) = z. x \ (y * K(z,T(x,y))) != u | T(x,z) \ y = u. x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). 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 * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. (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)). (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). (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). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. 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)). L(T(x \ y,z) \ 1,x \ y,x) != u | T(x \ y,z) \ T((x \ y) * (y \ x),z) = u. T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). 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)) = 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). R(L(T(x * K(y,x),y * z),u,w),y,z) = (y * z) \ ((y * L(x,u,w)) * z). R(L(x,y,z),u,w) != v5 | L(R(x,u,w),y,z) = v5. L(R(T(x * K(y,x),y * z),y,z),u,w) = (y * z) \ ((y * L(x,u,w)) * z). L((x * y) \ ((z * T(x,z)) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). L((x * y) \ ((x * z) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). (x * y) \ ((x * L(z,u,w)) * y) = L((x * y) \ ((x * z) * y),u,w). x \ (((x / y) * L(z,u,w)) * y) = L(((x / y) * y) \ (((x / y) * z) * y),u,w). L(((x / y) * y) \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). L(x \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). x \ (((x / y) * L(z,u,w)) * y) = L(x \ (((x / y) * z) * y),u,w). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). T(x,(y / z) \ 1) != u | T(x,z / y) = u. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. 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). K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. 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 \ 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). (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. 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 | T(x,y) * z = u. x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 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). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). T(x,x \ K(x,y)) = (x \ 1) \ 1. (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. 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 \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). R(x \ 1,y,z) * R(R(x \ 1,y,z) \ 1,u \ 1,w) = R((L(((x \ 1) \ 1) \ 1,u,w \ 1) * x) \ 1,y,z). x * R(x \ 1,y \ 1,y) != z | a(y \ 1,y,x) = z. a(x \ 1,x,R(y \ 1,z,u)) = R((L(((y \ 1) \ 1) \ 1,x,x \ 1) * y) \ 1,z,u). R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,R(x \ 1,z,u)). x * K(y,y \ x) != z | y * (x / y) = z. (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). 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)) \ (y * z),y) != u | K(K(x \ y,x) * z,y) = u. K(K(x \ y,x) * z,y) = K(y \ (y * z),y). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(((x \ y) * x) \ z,y) = K(y \ z,y). 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). K(x,y) * z != T(K(x,y) * (u * K(y,x)),w) | T(u,w) * K(y,x) = z. 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). T(K(x,y),z) != u | K(T(x,z),y) = u. K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). (x \ K(x,y)) * T(x,x \ 1) = K(x,y). L(T(K(x,y),z),z,K(x,u)) != w | T(K(x,y),K(x,u) * z) = w. T(K(x,y),K(x,z) * u) = T(K(x,y),u). T(K(x,y),z) = T(K(x,y),K(u,x) * z). T(K(x,y),K(z,x) * u) = T(K(x,y),u). x != R(y,z,u) | ((y * z) * u) / (z * u) = x. (((x \ 1) * y) * (z \ 1)) / (y * (z \ 1)) = L(x,y \ 1,z) \ 1. x * R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ x. x * R(x \ 1,y,y \ 1) = a(y,y \ 1,x). a(x \ 1,y,y \ 1) = a(y,y \ 1,x). (x \ y) * R((x \ y) \ 1,z,u) != w | x \ (y * R(y \ x,z,u)) = w. x \ (y * R(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. a(x,y,y \ 1) = a(y,y \ 1,x \ 1). a(x,x \ 1,y \ 1) = a(y,x,x \ 1). (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,u \ 1)) = a(u,u \ 1,L(z,y,x)). (x * y) \ (x * ((y * z) * R((y * z) \ y,u,u \ 1))) = a(u,u \ 1,L(z,y,x)). (x * y) \ (x * (y * (z * R(z \ 1,u,u \ 1)))) = a(u,u \ 1,L(z,y,x)). (x * y) \ (x * (y * a(z,z \ 1,u))) = a(z,z \ 1,L(u,y,x)). L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)). L(a(x \ 1,x,y),z,u) = a(x \ 1,(x \ 1) \ 1,L(y,z,u)). a(x \ 1,(x \ 1) \ 1,L(y,z,u)) = L(a(x \ 1,x,y),z,u). L(a(x,y,y \ 1),z,u) = a(y,y \ 1,L(x \ 1,z,u)). a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. a(x \ 1,x,L(y,z,u)) = L(a(x \ 1,x,y),z,u). L(a(x \ 1,x,y),z,u) = a(x \ 1,x,L(y,z,u)). L(a(x,y \ 1,y),z,u) = a(y \ 1,y,L(x \ 1,z,u)). a(x \ 1,x,L(y \ 1,z,u)) = L(a(y,x \ 1,x),z,u). ((x \ 1) \ y) * R(((x \ 1) \ y) \ 1,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). ((x \ 1) \ y) * R((y \ 1) / x,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). ((x \ 1) \ y) * ((y \ 1) * (x \ 1)) = (1 \ (x * y)) \ ((x \ 1) \ y). ((x \ 1) \ y) * ((x * y) \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). (1 \ (x * y)) \ ((x \ 1) \ y) = ((x \ 1) \ y) * ((x * y) \ 1). (x * y) \ ((x \ 1) \ y) = ((x \ 1) \ y) * ((x * y) \ 1). ((x \ 1) \ y) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * (((x \ 1) \ y) \ 1). ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * ((y \ 1) / x). (x * y) * ((y \ 1) / x) != z \ 1 | (x * y) \ ((x \ 1) \ y) = z. x \ 1 != (y * z) * ((z \ 1) / y) | (y * z) \ ((y \ 1) \ z) = x. K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(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). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). (T(x,y \ 1) * T(y \ 1,z)) * K(y \ 1,u) = T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u). (T(x,y \ 1) * T(y \ 1,z)) * K(y,u \ 1) = T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u). x != T(y,(y \ z) \ u) | T(y,z \ (y * u)) = x. T(x,y \ (x * z)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (x * z)). T(x,y \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). 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)). T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. 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). a(x,y,(z \ 1) \ 1) != u | a(x,y,z) = u. a(x \ 1,y \ 1,y) != z | a(y \ 1,y,x) = z. a(x,y \ 1,y) != z | a(y \ 1,y,x \ 1) = z. a(R(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,L(x \ 1,y,z)) = w. a(L(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,R(x \ 1,y,z)) = w. (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). L(x,y \ 1,z) \ 1 != u | R(x \ 1,y,z \ 1) = u. (K(x,y) * z) \ (z * u) = L(K(T(y,z),x) * u,K(x,T(y,z)),z). L(K(T(x,y),z) * u,K(z,T(x,y)),y) = (K(z,x) * y) \ (y * u). L(K(x,T(y,z)) * u,K(y,T(x,z)),z) = (K(y,x) * z) \ (z * u). (x * (T(y,z) \ 1)) * 1 = (x * (y \ 1)) * K(z,y). x * (T(y,z) \ 1) = (x * (y \ 1)) * K(z,y). (x * (y \ 1)) * K(z,y) = x * (T(y,z) \ 1). (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). x * K(y,z) = (x / (z \ 1)) * (T(z,y) \ 1). (x / (y \ 1)) * (T(y,z) \ 1) = x * K(z,y). x * y != (z / u) * K(u \ z,u) | (u \ z) / y = x. (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). x != y * ((z \ y) / y) | z \ T(y,z \ 1) = x. x \ T(y,x \ 1) = K(y,x \ 1) * (x \ y). K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). K(x,y \ 1) * (y \ z) != u | T(y,x \ 1) \ z = u. T(x,y \ 1) \ y = x \ T(y,x \ 1). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. 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),y) | L(y,z,y) = 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). 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). L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). 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). T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. T(x,(y * z) \ z) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,(y * z) \ z). (T(x,y) \ 1) * T(z,T(x \ 1,y)) = z * (T(x,y) \ 1). x / (T(y \ 1,z) \ 1) = (x / y) * K(y,z \ 1). x / (T((y \ 1) \ 1,z) \ 1) = (x / (y \ 1)) * K(y,z). L(K(x,y \ 1),z / x,(z / x) \ 1) \ 1 = ((z / (T(x \ 1,y) \ 1)) \ 1) * (z / x). x / (T(y,z) \ 1) = (x / (y \ 1)) * K(y,z). (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). x * ((y / (x \ 1)) / x) = y / (T(x,x \ (y / (x \ 1))) \ 1). x / (T(y,y \ (x / (y \ 1))) \ 1) = y * ((x / (y \ 1)) / y). (x * K(y,x)) \ y = x \ (y * K(x,y)). K(x,(y * z) \ y) != u | K(x,z \ 1) = u. K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. K(x,y \ K(z,x)) != u | K(x,y \ 1) = u. K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). R(K(x,y),y,z) != u | K(x,y) = u. K(x / (y / z),x) = K((x * z) / y,x). K((x * y) / z,x) = K(x / (z / y),x). 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). x != y \ y | 1 = x. 1 = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = 1. T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). T(x,T(y,x) \ z) != u | T(x,y \ z) = u. 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,y \ z) = T(x,(y * K(u,x)) \ z). T(x,(y * K(z,x)) \ u) = T(x,y \ u). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = T(x,y \ 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(x,(K(y,x) * z) \ u) != w | T(x,z \ u) = w. 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) = T(x,y \ T(x,z)). T(x,y \ T(x,z)) = T(x,y \ x). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. T(x,T(x,y) / z) = T(x,z \ x). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). R(x,y,T(z,y)) = R(x,y * K(z,y),z). R(x,y * K(z,y),z) = R(x,y,T(z,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. (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). (x * T(y \ 1,z)) * K(y,u) = (x * K(y \ 1,z)) * (y \ K(y,u)). (x * K(y \ 1,z)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). (x * K(y,z \ 1)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). ((x / y) * (y * z)) \ (((y \ x) * T(y,y \ x)) * z) = a(y \ x,T(y,y \ x),z). ((x / y) * (y * z)) \ (x * z) = a(y \ x,T(y,y \ x),z). a(x \ y,T(x,x \ y),z) = ((y / x) * (x * z)) \ (y * z). a(x \ y,T(x,x \ y),z) != u | a(y / x,x,z) = u. K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). 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). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. 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)). (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. L(K(x * y,x) \ z,K(x * y,x),K(x,y)) != u | (x \ R(x,y,x)) \ (K(x,y) * z) = u. (x \ R(x,y,x)) \ (K(x,y) * z) = K(x,x * y) * z. (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),T(x,y) * z) * u. 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(T(K(x,y),z),u) != w | K(x,T(T(y,u),z)) = w. T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. K(T(x,y),T(z,u)) != w | K(x,T(T(z,y),u)) = w. T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. x != T(y * z,u) / z | z \ T(z * y,u) = x. x \ T(x * K(y,z),x) = K(y,(T(z \ x,x) / x) \ 1). K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). x \ T(x * K(y,z),x) = K(y,x / T(z \ x,x)). x \ T(x * K(y,z),x) = K(y,T(x / z,x) \ x). x \ T(x * K(y,z),x) != u | K(T(x / y,x) \ x,z) = u. K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). (x \ T(y,z)) * ((x \ y) \ 1) = (1 / x) * ((x \ y) \ T((x \ y) * x,z)). (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). (1 / x) * ((y * x) / y) = (x \ T(y,x)) * ((x \ y) \ 1). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). x != (1 / y) * ((z * y) / z) | K(z,y) = x. K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). (x \ T(y,x)) * ((x \ y) \ 1) = K(y,x). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). (1 / x) * (((1 / x) \ y) * K(z,(1 / x) \ y)) = ((T(z,(1 / x) \ y) * (y * x)) / T(z,(1 / x) \ y)) / x. ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). x != y * ((y \ z) * K(u,y \ z)) | z * K(u,(z \ y) \ 1) = x. x * K(y,(x \ (1 / z)) \ 1) = ((T(y,(1 / z) \ x) * (x * z)) / T(y,(1 / z) \ x)) / z. ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). x * y != ((y \ z) * y) * K(u,(y \ z) * y) | y \ (z * K(u,z)) = x. x \ (y * K(z,y)) = (x \ y) * K(z,(x \ 1) \ (x \ y)). (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). R(x,y,z) * (x \ K(u,T(x,w))) = (x \ R(x,y,z)) * T(K(u,x),w). (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). x != R(y,z,u) * (y \ K(w,T(y,v5))) | T(y,T(w,v5)) \ R(y,z,u) = x. T(x,T(y,z)) \ R(x,u,w) = (x \ R(x,u,w)) * T(K(y,x),z). (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,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 \ u),L(z,w,v5)). L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). 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). 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,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). 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. (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). (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. K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). K(x \ 1,x) * (y \ z) != u | ((y \ 1) \ 1) \ z = u. ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). (x \ 1) * T(x,y) != z | K(x,y) = z. K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. 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)). 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,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(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). x != K((y \ z) \ 1,u) | K(z \ y,u) = x. 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,z) | K(z,y) = x. K(T(x,y),z \ x) = K(x,T(z,y) \ T(x,y)). K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). K(1 / x,y) = K(z / (x * z),y). K(x / (y * x),z) = K(1 / y,z). x * y != (1 / z) * K(u,u \ 1) | (z \ 1) / y = x. (x \ 1) / ((y \ 1) \ 1) = (1 / x) / y. x != K(y \ z,z) | K(z / y,z) = 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)). 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)). T(x,1 / y) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,1 / z). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). 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). (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),z * T(x,y)) * u. K(x,T(y * T(x,z),z)) * u = (T(x,z) \ R(T(x,z),y,T(x,z))) \ (K(x,T(y,z)) * u). (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. (T(x,y) \ R(T(x,y),z,x)) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. 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 \ 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). L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). x * L(y,T(z,x) \ x,z) = T(z,x) * ((T(z,x) \ x) * y). T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). ((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,u) | y \ (z * K(y,u)) = 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). (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)). ((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)). K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). K(x,T(y / (x * (z * u)),z * u)) = K(T(x,z * u),y / ((z * T(x,z * u)) * u)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). K(x,y \ T(z,y)) != u | K(x,T(y,z) \ z) = u. 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)). K(x,((y \ 1) * ((z \ 1) \ u)) / w) = K(x,(((u \ 1) / z) * y) \ (w \ 1)). (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). L(x,T(y,z),K(y,u)) = x. L(x \ K(y,z),x,K(z,y)) != u | (K(z,y) * x) \ 1 = u. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). 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). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). (x * 1) * a(x,y \ 1,y) = R(x,y \ 1,y). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x != K(y / z,y) | K(z \ y,y) = x. K((x / y) \ z,z) = K((z * y) / x,z). K((x * y) / z,x) = K((z / y) \ x,x). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). (K(x,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). K(x \ (y * z),T(z,u)) = K((y \ x) \ z,T(z,u)). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * 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,x \ y) = K(x,L(x,z,z \ 1) \ y). K(x,L(x,y,y \ 1) \ 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). (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). L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). R(T(x,y * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). K((T(x,y) * z) \ ((x * y) * z),u) = K(R(y,T(x,y),z),T(u,x * z)). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). K(x,y) / (K(x,y) / y) = 1 / (1 / y). (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). (K(x,y) \ z) \ (K(x,y) \ u) = L(z \ u,z,K(y,x)). L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). L(x \ (y * z),x,K(T(y,y * z) * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). (T(x / y,y) / (z \ 1)) \ (x / y) = z \ K(y,y \ x). ((x \ y) / (z \ 1)) \ (y / x) = z \ K(x,x \ y). 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)). x != K(y,T(z,u)) | K(T(y,u),z) = x. 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)). L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). 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. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). K(T(x,y),T(z,u)) = T(T(x * K(z,x),y),u) \ T(T(x,y),u). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). 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)). 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). (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,w)) * (u \ 1) | x \ T(z * (u \ 1),w) = y. x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). (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 * (y \ K(y,z)). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). 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 \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). 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). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != T(y * (z / y),u) / T(z,u) | K(y,y \ T(z,u)) = 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 != 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)). x * (((x \ y) \ 1) \ 1) = z / (((y \ z) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = z * (((z \ y) \ 1) \ 1). 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 \ K(y,z)) * z = z * K(x,y \ 1). T(x,y * K(x,z \ 1)) = T(x,y). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). x != K(y,z) * ((y \ 1) * u) | (y \ K(y,z)) * u = x. (x \ K(x,y \ 1)) * z = L(z,x \ 1,x) * T(L(z,x \ 1,x) \ (x \ L(z,x \ 1,x)),y). L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = (y \ K(y,z \ 1)) * x. L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = T(y \ 1,z) * x. ((x \ (y * x)) \ 1) \ z = K(y \ 1,x \ 1) * ((y \ 1) \ z). (T(x,y) \ 1) \ z = K(x \ 1,y \ 1) * ((x \ 1) \ z). K(x \ 1,y \ 1) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. K(x,y \ 1) * (x \ z) != u | z * T(z \ (x \ z),y) = u. x * T(x \ ((y \ 1) \ x),z) = (T(y,z) \ 1) \ x. (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. (x * (y \ 1)) * y = R(x,T(y,z) \ 1,T(y,z)). R(x,T(y,z) \ 1,T(y,z)) = (x * (y \ 1)) * y. R(x,y \ 1,y) = R(x,T(y,z) \ 1,T(y,z)). R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = x \ R(x,y \ 1,y). x != y \ R(y,z \ 1,z) | a(y,z \ 1,z) = x. a(x,y \ 1,y) = a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1). a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = a(x,y \ 1,y). a(x,T(y,z) \ 1,T(y,z)) = a(x,y \ 1,y). K(x,y \ (z * x)) != u | K(x,(y / x) \ z) = u. 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(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 \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). (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). 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). K(x / y,z) != u | K((y / x) \ 1,z) = u. R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). T(K(x,(y / (x * z)) \ 1),u) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). K(x / y,x / (z * y)) = K((y / x) \ 1,z \ (x / y)). K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). 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 \ z,z \ (z / (((x \ z) \ 1) \ 1))),u) = K(((z \ (z / (x \ z))) * (x \ z)) \ (z / (((x \ z) \ 1) \ 1)),u). 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 \ (u * (((u \ y) \ 1) \ 1))),z). K(R(x,x \ y,y \ (z * (((z \ x) \ 1) \ 1))),u) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),u). K(R(x,x \ y,((y \ x) \ 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 \ 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)) \ (z * (((z \ y) \ 1) \ 1)),u) = K(R(y,y \ x,x \ y),u). 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). 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). R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). L(1 / x,y,z) \ (1 / u) = L(x \ 1,y,z) \ (u \ 1). K(x \ 1,y) != z | x * T(x \ 1,y) = z. L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). ((x * y) \ x) \ K(y,z) = T(L(y \ 1,y,x) \ 1,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. (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). x != K(y \ 1,y) | L(K(y \ 1,y),z,u) = x. L(K(x \ 1,x),y,z) = K(L(u,w,v5) \ 1,u). K(L(x,y,z) \ 1,x) / R(L(u,w,v5) \ 1,u,u \ 1) = L(u,w,v5). K(L(x,y,z) \ 1,x) != u | K(w \ 1,L(w,v5,v6)) = u. T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. T(x,y) * z != u | x * (K(x,y) * z) = u. K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(T(x,x \ y),z) != u | K(T(x,y),z) = u. L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. K(x,T(y,z)) != u | T(K(x,y),z) = u. T(K(x * y,x),y) = K(x * y,x). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). a(x,T(y,z),K(u,y)) = 1. R(x,K(y,z),L(T(z,u),w,v5)) = x. K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. L(K(x,y),T(y,z),u) = K(x,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). K(x,T(y \ x,z)) != u | K(x,T(y,z) \ x) = u. K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). K(x,K(x,y) * z) != u | K(x,z) = u. K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). 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). (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. L(K(x,y \ z),z,y \ 1) != u | K(x,(y \ 1) * z) = u. K(x,y) * K(z,y) = (K(y,x) * K(y,z)) \ 1. (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). K(x,y) * K(z,y) = y * (T(y,z) \ K(x,y)). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x * (T(x,y) \ K(z,x)) != u | K(z,x) * K(y,x) = u. ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). 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. (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. K(x,y) = R(K(x,y),R(x,z,u),w). R(K(x,y),R(x,z,u),w) = K(x,y). R(K(x,y / (z / u)),y,u) != w | K(x,(y * u) / z) = w. K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). 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). x != K(y,(z * (y \ 1)) \ u) | K(y,z \ (u * y)) = x. K(x,y \ (z * x)) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T(x \ 1,x * y) = T(x \ 1,y * x). T(x \ 1,y * x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | ((y \ 1) \ z) \ z = x. ((x \ 1) \ y) \ y = T(x \ 1,y * x). T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). x * T(x \ 1,y * x) = K(x \ 1,x * 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)). K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,T((y \ z) \ x,u)) != w | K(x,T(z \ (y * x),u)) = w. K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x \ 1,y * x) = K(x \ 1,x * y). x != K(y \ 1,y * z) | K(y \ 1,(y \ 1) \ z) = x. K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). T(x,K(y,1 / x) * z) = T(x,z). x / T(x,y) = K(K(z,1 / x) * y,x). K(K(x,1 / y) * z,y) = y / T(y,z). x != y / T(y,z) | K(z,y) = x. K(x,y) = K(K(z,1 / y) * x,y). K(K(x,1 / y) * z,y) = K(z,y). K(K(x,y \ 1) * z,y) = K(z,y). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(T(x,1 / y) / z,y) = K(x / z,y). K(K(x,y) * z,y) = K(z,y). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(x,y) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(z,x). K(K(x,y) \ z,x) = K(z,x). K(x * y,x) = K(T(x,z) * y,x). K(T(x,y) * z,x) = K(x * z,x). K(T(x,y) \ z,x) = K(x \ z,x). K(x * T(y,z),z) = K(x * y,z). K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(R(K(x,y),z,u) * w,x) = K(w,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(K(x,y) * z,x) != u | K(z,x) = u. K(x * y,x) != z | K(y * x,x) = z. K(((x \ 1) \ 1) * y,z) != u | K(x * y,z) = u. K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. T(x * K(x \ y,x),z) = y / (y / T(x,z)). T(x / (x / y),z) = x / (x / T(y,z)). x / (x / T(y,z)) = T(x / (x / y),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(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). (T(x / y,z) \ x) \ x = T(y \ x,z). x \ y != T(z \ y,u) | z * K(u,z \ y) = x. x * K(y,x \ z) = T(z / x,y) \ z. T(x / y,z) \ x = y * K(z,y \ x). (T(x,y) \ z) \ z = T((x \ z) \ z,y). K(x,T(y \ z,u)) = K(x,T(T(z / y,u),z)). K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). x != T((y \ z) \ z,u) | T(T(y,u),y \ z) = x. T(T(x,y),x \ z) = (T(x,y) \ z) \ z. T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). 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). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). x / T(T(y,z),y \ x) = T(y,z) \ x. T(T(x,y),x \ y) = (x \ T(y,x)) \ y. (x \ T(y,x)) \ y = T(T(x,y),x \ y). x / T(T(y,y \ x),z) = T(y,z) \ x. ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). T(x,x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). x != T(y,y * (z / T(y,u))) | T(y,z) = x. T(x,y) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. L(x \ (y * z),x,K(y * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). T(T(x,y) * z,x) = T(x,y) * (z * K(x * z,x)). T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),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(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). 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). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). x / (y * K(z,y \ x)) = T(x / y,z). (x * y) / (x * K(z,y)) = T((x * y) / x,z). x != T((y * (z * K(u,z))) / y,u) | (y * z) / y = x. (x * y) / x = (x * (y * K(z,y))) / (x * K(z,y * K(z,y))). (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). x * R(y,z,u) = (x * (K(w,y) * R(y,z,u))) * K(y,w). (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). 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)). 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) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | L(z,y,z) = x. L(x,y,x) = L(x,K(z,x) * y,x). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). R(K(x,y),z,x \ 1) = K(x,y). (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. 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). T(x,y) = T(x,R(y,z,x \ 1)). T(x,R(y,z,x \ 1)) = T(x,y). T(x,R(y,z,x \ 1)) \ x = K(y,x). T(x,y * (x \ 1)) = T(x,y / x). x != T(y,z / y) | T(y,y \ z) = x. T(x,x \ y) = T(x,y * (x \ 1)). T(x,y * (x \ 1)) = T(x,x \ y). T(x,y) = T(x,x \ (y / (x \ 1))). T(x,x \ (y / (x \ 1))) = T(x,y). x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). x * K(T(y,x) \ 1,(T(y,x) \ 1) \ x) = (T(y,x) \ 1) * (y * ((x / (y \ 1)) / y)). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,(T(x,y) \ 1) \ y). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,T(x,y) * y). L(K(x,y),z,x \ 1) = K(x,y). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). K(x,L(y,z,x \ 1)) = K(x,y). K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. 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) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). 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,(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). 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). 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). 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,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). T(x,T(y,T(z,x))) = T(x,T(y,z)). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(T(x,T(y,z)),z) = K(T(x,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,x \ z)) = K(x,T(y,z)). 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,z * u)) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,T(y,(x * y) * z)). K(x,T(y,(x * y) * z)) = K(x,T(y,z)). T(K(x,y),z) = K(x,T(y,x \ z)). K(x,T(y,x \ z)) = T(K(x,y),z). K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,L(T(y,x \ z),u,w)) = K(x,T(L(y,u,w),z)). K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). x * K(x,T(y,z)) = T(x,T(y,x \ z)). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). K(T(x,y),z) = K(x,T(z,x * y)). K(x,T(y,x * z)) = K(T(x,z),y). T(K(x,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). K(x,x * y) = K(x,T(x * y,y)). K(x,T(x * y,y)) = K(x,x * y). T(K(x,y),x * z) != u | (x * z) \ (T(x,y) * z) = u. (x * y) \ (T(x,z) * y) = K(x,T(z,y)). K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). K(x,y \ (x \ ((x * z) * y))) != u | ((z * x) * y) \ ((x * z) * y) = u. ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. T(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. 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,T(y,x \ y)) = T(x,y). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x,T(x * y,y)) = T(x,x * y). T(x,y \ (x * z)) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). K(x,L(T(y,x \ z),u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,z),u,w)) = K(x,L(T(y,x * z),u,w)). K(x,L(T(y,x * z),u,w)) = K(x,L(T(y,z),u,w)). K(R(x,y,z),T(u,w)) = K(R(x,y,z),T(u,x \ w)). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). K(x,y \ (x \ z)) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). 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)). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). K(L(x,y,z),T(u,x \ w)) != v5 | K(L((x \ w) \ w,y,z),u) = v5. K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (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)). 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 != T(y,T(z,y \ u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,z)). T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). x != K(K(y,z) * u,y) | K(u,y) = x. K(x,y) = K(L(x,K(y,z),u),y). K(L(x,K(y,z),u),y) = K(x,y). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). 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). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K(x,y \ 1) = K(x \ K(z,y),y). K(x \ K(y,z),z) = K(x,z \ 1). K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). K(x \ K(y,z),z) != u | K(x,z \ 1) = u. 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) * y),y) = K(x \ z,y). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(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(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,(K(x,y) * z) * u) = K(x,z * u). K(x,y \ T(y * z,x)) = K(x,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 * 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 * (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)). 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) * u)) = K(x,T(y,(x * z) * u)). x != K(y,T(z,(y * u) * w)) | K(y,T(z,u * w)) = x. K(x,T(y,z * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(R(x * K(y,z),u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). x * T(y,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). x * y != (z * u) * K(u,T(w,z)) | x \ (K(u,w) * (z * u)) = y. x \ (K(y,z) * (x * y)) = T(y,T(z,x)). (x * y) * K(y,T(x,z)) = K(y,T(x,z)) * (x * y). K(x,T(y,z)) * (y * x) = (y * x) * K(x,T(y,z)). x \ (T(y,z) * T(x,y)) = T(y,T(z,x)). x != (y * z) * K(z,T(y,u)) | T(z * y,K(y,u)) = x. T(x * y,K(y,z)) = K(x,T(y,z)) * (y * x). K(x,T(y,z)) * (y * x) = T(x * y,K(y,z)). T(T(x,y) * K(z,x),z) = T(x,T(y,z)). K(x,y) != z | K(R(x,x \ 1,u),y) = z. K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). L(x \ y,z,y / x) = L(x \ y,z,x \ y). K(x,y / ((z * x) * u)) != w | K(x,y / ((z * u) * x)) = w. K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). T(x,y * K(x,z)) = T(x,y). x * y != T(z,u * K(z,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). (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,y * K(z,x)). T(x,y * K(z,x)) = T(x,y). T(x,y / (x \ z)) = T(x,y / (z / x)). T(x,y / (z / x)) = T(x,y / (x \ z)). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = K(x,y). T(x,K(y,x * K(y,z))) = x. K(x,y * K(x,z)) != u | K(x,y) = u. K(x,y) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). K(x \ y,z / (y / x)) = K(x \ y,z / (x \ y)). K(x,y / (x \ z)) = K(x,y / (z / x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). K(x,y * L(K(z,x),u,w)) = K(x,y). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). K(x,y * K(z,x \ 1)) = K(x,y). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,y) = K(x * K(z,y),y). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),z) != u | K(x,z) = u. R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). K(x * L(K(y,z),u,w),z) = K(x,z). K(x * K(y,z \ 1),z) = K(x,z). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x * y,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * L(K(y,z),u,w),y) = K(x,y). K(x * (y * K(z,u)),z) = K(x * y,z). K(x * (y * z),y) = K(x * (z * y),y). K(x * (y * z),z) = K(x * (z * y),z). K(x * (K(y,z) * u),y) = K(x * u,y). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). 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 \ 1) \ y,z) = K((x \ z) \ (y * z),z). K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. 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. x != R(y * K(z,y),u,w) \ R(y,u,w) | K(R(y,u,w),z) = x. K(R(x,y,z),u) = K(R(x,y,z),u * K(x,w)). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u) = K(R(x,y,z),u * K(w,x)). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). (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)). 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),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(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,K(y,x) * z) != u | K(x,z) = u. K(L(x,y,z),y * x) != u | K(x,x * y) = u. x != L(y,z,u) \ L(T(y,w),z,u) | K(L(y,z,u),w) = x. K(L(x,y,z),u) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). K(x * (y / R(z,u,z)),z) != w | K(x * (R(z,u,z) \ y),z) = w. K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),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). 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) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). K(x * (y / T(z,u)),z) != w | K(x * (R(z,u,z) \ y),z) = w. K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. K(x * R(y,z,y),y) = K(y * x,y). 1 / (x \ K(x * y,x)) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). x != 1 / (y \ K(z,y)) | T(y,z) = x. 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). 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). K(x,((1 / y) * z) \ u) != w | K(x,((y \ 1) * z) \ u) = w. L(K(x,y \ z),z,z \ 1) != u | K(x,((z \ 1) * y) \ 1) = u. K(x,y * R(x,z,x)) = K(x,x * y). K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. K(x,R(x,y,x) * z) = K(x,x * z). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). 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(x,y * (z * K(x,u))) = T(x,y * z). T(x,y * K(L(x,z,u),w)) = T(x,y). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). L(T(x,y),z,u) \ L(x,z,u) = K(y * K(L(x,w,v5),v6),L(x,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). K(x,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 \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x * (K(y,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))). K(x,L(y,z,u)) * (x * 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)) = 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,y / (z / x)) != u | T(x,(y * x) / z) = u. T(x,(y * x) / z) = T(x,y / (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). 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). 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 * y,R(x,z,u)) = K(y * x,R(x,z,u)). K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). 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(x,K(y,x * K(y,z))) = 1. x != K(y,z * K(u,y)) | K(y,z) = x. 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)). K(R(x,K(y,z),u),z) = K(x * K(y,z),z). x != K(y * K(z,u),u) | K(y,u) = x. K(x,y) = K(R(x,K(z,y),u),y). K(R(x,K(y,z),u),z) = K(x,z). K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). (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). 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). 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)). 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). 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). 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). 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,T(y \ x,z / y)) != u | K(x,T(y \ x,z)) = u. K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). K(x,L(y,z,u)) = K(x * K(L(y,w,v5),v6),L(y,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). K(x * K(y,L(z,u,w)),z) = K(x,z). K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K(x,y) = K(K(L(y,z,u),w) * x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). K(x,T(y,z * (y * 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)). (x * y) * K(y,T(x,z)) != u | T(y * x,K(x,z)) = u. K(x,T(y,z)) * (y * x) != u | T(x * y,K(y,z)) = u. x * K(y,T(z \ x,u)) = K(y,T(x / z,u)) * x. K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)). T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. 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. R(x,x \ 1,y \ R(y,x \ 1,y)) = x. K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))) = K(x,L(L(x \ (y \ (z * x)),u,w),x,y)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). x != K(y,z \ T(z * u,y)) | K(y,u) = x. K(x,L(y \ z,u,w)) = K(x,L(L(x \ (y \ (z * x)),u,w),x,y)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). K(x,L(y \ (z * x),u,w)) = K(x,L((y / x) \ z,u,w)). K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). K(x,L(y,z,u)) = K(x,L(w \ (((w / x) * y) * x),z,u)). K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). 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,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,y)) = K(x,y \ z). K(x,y \ (z * (u / x))) != w | K(x,y \ (z * (x \ u))) = w. K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). K(x,(y * (z * (u / x))) \ w) != v5 | K(x,(y * (z * u)) \ (w * x)) = v5. K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). K(x,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))). 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 \ 1,z)) = u. T(x,T(y \ 1,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,y)) = T(x,y \ z). K(T(x,y \ z),y) = K(T(x,(y / z) \ 1),y). K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). 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)). L(K(x,y),z,L(y,u,w)) = K(x,y). K(x,L(y,z,L(y,u,w))) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). 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,T(z,L(z,u,w) \ v5)) | K(y,T(z,v5)) = x. K(x \ (L(y,z,u) * w),T(y,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,u)). K(x * L(y,z,u),y) = K(x * L(y,z,u),T(y,x)). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). 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(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). 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 \ 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). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,L(z,((y \ x) \ x) \ 1,(y \ x) \ x) \ y). K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((((y \ x) \ x) \ 1) * z) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). 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,y * K(z,R(x,u,w))) = K(x,y). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). K(x,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,y / (R(x,z,u) \ w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). 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(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,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)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. K(x,y) * ((y * R(x,z,u)) * x) != w | (x * y) * R(x,z,u) = w. (x * y) * R(x,z,R(x,u,w)) = (R(x,z,R(x,u,w)) * y) * x. (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). x != K(y,z / (u / y)) | K(y,z / (y \ u)) = x. K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). 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). L(K(x,y),z,T(x,u)) = K(x,y). K(x,L(y,z,T(x,u))) = K(x,y). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. 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. x != K(y \ ((z \ u) * z),z) | K(y \ u,z) = x. K((x * y) \ z,u) = K((x * (u \ y)) \ (u \ z),u). K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). 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 * (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) \ (z \ u),z) = K((x * (z * y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). x != K((y * z) \ (u \ w),u) | K((y * (z * u)) \ w,u) = x. K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). (x * y) \ ((x * K(z \ x,u)) * y) != w | w = K((z * y) \ (x * y),u). (x * y) \ ((x * K(z \ x,u)) * y) != w | K((z * y) \ (x * y),u) = w. a(x,K(y,z),K(z,u)) != w | a(x,K(z,u),K(y,z)) = w. (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. T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). x != T(y,(z * (y * u)) \ w) | T(y,(z * u) \ (y \ w)) = x. T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). K(x,y * ((z * y) \ z)) != u | 1 = u. 1 = K(x,L(y * ((z * y) \ z),u,w)). 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(y,z,z \ 1)) = 1. T(x,a(y,z,z \ 1)) = x. x * a(y,z,z \ 1) = a(y,z,z \ 1) * x. a(x,y,y \ 1) * z = z * a(x,y,y \ 1). T(a(x,y,y \ 1),z) = a(x,y,y \ 1). T(x,a(y,z \ 1,z)) = x. T(x,a(y,y \ 1,z)) = x. x * L(a(y,z,z \ 1),u,w) != v5 | L(a(y,z,z \ 1),u,w) * x = v5. x * (y * a(z,u,u \ 1)) = L(a(z,u,u \ 1),y,x) * (x * y). L(a(x,y,y \ 1),z,u) * (u * z) = u * (z * a(x,y,y \ 1)). R(a(x,y,y \ 1),T(z,a(x,y,y \ 1)),u) = (T(z,a(x,y,y \ 1)) * u) \ ((z * a(x,y,y \ 1)) * u). (T(x,a(y,z,z \ 1)) * u) \ ((x * a(y,z,z \ 1)) * u) = R(a(y,z,z \ 1),T(x,a(y,z,z \ 1)),u). T(a(x,y \ 1,y),z) = a(x,y \ 1,y). T(x,a(y \ 1,y,z)) = x. T(a(x,x \ 1,y),z) = a(x,x \ 1,y). a(x \ 1,x,y) \ z = z / a(x \ 1,x,y). x / a(y \ 1,y,z) = a(y \ 1,y,z) \ x. K(x,a(y \ 1,y,z)) = 1. T(a(x \ 1,x,y),z) = a(x \ 1,x,y). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). K(x * K(y,z \ u),u \ z) = K(x,u \ z). K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. K(x \ 1,L(x,y,z)) * (u / w) = u / ((w \ 1) \ 1). (x * y) \ ((x * a(z,u,u \ 1)) * y) = R(a(z,u,u \ 1),T(x,a(z,u,u \ 1)),y). R(a(x,y,y \ 1),T(z,a(x,y,y \ 1)),u) = (z * u) \ ((z * a(x,y,y \ 1)) * u). R(a(x,y,y \ 1),z,u) = (z * u) \ ((z * a(x,y,y \ 1)) * u). (x * y) \ ((x * a(z,u,u \ 1)) * y) = R(a(z,u,u \ 1),x,y). (x * y) * R(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. 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,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). x != a(y,z \ 1,z) | y \ R(y,z \ 1,z) = x. x \ R(x,y \ 1,y) = T(a(x,y \ 1,y),z). T(a(x,y \ 1,y),z) = x \ R(x,y \ 1,y). 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,y) \ R(K(x,y),z \ 1,z) != u * (K(y,x) * R(K(x,T(y,w)),z \ 1,z)) | K(w,K(x,y)) = u. x * (K(y,z) * R(K(z,T(y,u)),w \ 1,w)) != K(z,y) \ R(K(z,y),w \ 1,w) | K(u,K(z,y)) = x. K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. (x / ((y * z) / y)) * K(y,z) = x / z. T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(x,T(y,z)) = K(x,T(K(x,u) * y,z)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). K(x,T((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)). L(x * y,K(y * x,z),u) = x * y. (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). x != K(y,z) * (K(z,y) * u) | u = x. T(x * y,z) = (K(x,y) * K(x * y,z)) * (y * x). (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). x * (y * z) != T(z * y,u) | (y * z) \ T(z * y,u) = x. (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). K(x,T((y / (x * z)) \ 1,u)) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). K(x,T((y / z) \ 1,y)) != u | K(x,y \ z) = u. K(x,y \ (x * z)) = K(x,T((y / z) \ x,y)). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). K(x,y \ (z * x)) = K(x,T((y / z) \ x,y)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) != u | K(x,T((y \ z) * x,z)) = u. K(x,T((y \ z) * x,z)) = K(x,T(((y \ z) \ 1) \ x,y)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,(x * y) \ (z * x)) != u | K(x,y \ z) = u. K(x,y \ (z \ (x * y))) = K(x,T(z \ x,x * y)). 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,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). 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)). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x \ 1,L(x,y,z)) * (u / L(w,v5,v6)) = u / L((w \ 1) \ 1,v5,v6). K(x \ 1,L(x,y,z)) = K(L(u,w,v5) \ 1,L(u,w,v5)). K(L(x,y,z) \ 1,L(x,y,z)) = K(u \ 1,L(u,w,v5)). K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) = u * T(L(u,w,v5) \ 1,u). K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) != v6 | (L(u,w,v5) \ 1) * u = v6. (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). 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. K(R(x,y,z \ 1),z) = K(x,z). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(L(x,y,z) \ 1,x) / R(L(u,w,v5) \ 1,u,u \ 1) != v6 | L(u,w,v5) = v6. 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 / w) | L(y \ 1,z,u) \ (w \ 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 \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). (x \ 1) / ((y \ 1) \ 1) != z | (1 / 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. (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). (x * ((y * x) \ y)) \ 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). 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. K(x,((y \ 1) * (y / z)) \ 1) != u | L(K(x,z),y,y \ 1) = u. K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. 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). (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)). (x \ 1) * y != K(x,z) * (u * (x \ 1)) | T(K(x,z) * u,x \ 1) = y. T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 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 * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,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) * z != L(u,x \ 1,x) | (T(x,y) \ 1) * u = z. (T(x,y) \ 1) * z = (x \ 1) * (K(y,x) * z). (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * 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)). ((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 = 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. K(x * (1 / y),x) != z | K(y \ x,x) = z. L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). 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(x,y) * (x \ K(x,z)) != u | (x \ K(x,z)) * T((x \ 1) \ 1,y) = u. (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x \ 1,x) * (K(y,z) * K(y,u)) = (y \ K(y,z)) * T(y,u). ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(u,u \ 1). (K(x,y) * K(x,z)) \ K(u,u \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). 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 != K(y * z,T(y,u)) | K(y * z,T(y,z \ u)) = x. K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. 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)). 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,x) != z | K(y \ x,x) = z. K((x * y) / z,x) != u | K((z / y) \ x,x) = u. T(x,T(y,x)) / ((y * x) \ x) = x * y. T(x,y) / ((y * x) \ x) = x * y. (x * y) \ T(x,y) = (y * x) \ x. (x * y) * ((y * x) \ x) = T(x,y). x / y != z * (z \ u) | u \ x = y. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). (x * y) \ T(x,y) != z | L(T(y,x) \ 1,y,x) = z. L(T(x,y) \ 1,x,y) = (x * y) \ y. ((x * y) \ y) * R(((y * x) \ T(y,x)) \ 1,z,u) = (y * x) \ (T(y,x) * R(T(y,x) \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | y \ (z * R(z \ y,u,w)) = x. (x * y) \ (y * R(y \ (x * y),z,u)) = (y * x) \ (T(y,x) * R(T(y,x) \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = a(z,x,y). ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). T(x,y) * ((x * y) \ y) = T(x * L(x \ 1,x,y),y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). T(x * L(x \ 1,x,y),z) != u | x * ((y * x) \ y) = u. x * ((y * x) \ y) = T(x,y) * ((x * y) \ y). T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). T(x,x \ T(y,y \ x)) = T(x,x \ y). T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). T(x,y \ z) / ((z \ y) \ x) != u | x / ((x \ ((z \ y) \ x)) * x) = u. x / ((x \ ((y \ x) \ x)) * x) = y \ T(x,x \ y). 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. 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). R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). K(x,(y / (z * y)) \ u) = K(x,R(z \ 1,z,y) \ u). K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). K(x,y) * K(y,y * x) = y \ L(y,x,y). K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x \ y,L(z,u,w)) = K(x \ T(y,z),L(z,u,w)). K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). K(x \ (y * z),T(y,u)) = K((y \ x) \ z,T(y,u)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(x,y * (z * K(u,x))) = K(x,y * z). ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (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)). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). x != K(y / z,u) | K(1 / (z / y),u) = x. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x,y) = (x * y) * ((y * x) \ 1). (x * y) * ((y * x) \ 1) = K(x,y). T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). x * y != R(z,u,z) * K(z,w) | x \ R(T(z,w),u,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(y * T(x,z),z)) * u. (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) != w * u | K(x,T(y * T(x,z),z)) = w. K(x,y) * z != x \ (u * T(x,y)) | T(T(u,x),K(x,y)) = z. T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). 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(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). T(T(x,K(y,z)),y) != u | K(x,y) * T(x,K(y,z)) = u. K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). T(x,y) = T(T(x,K(z,y)),T(y,z)). T(T(x,K(y,z)),T(z,y)) = T(x,z). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). x * T(y,z) != T(y,T(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = 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)) * z = T(z,K(y,x)). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) \ 1 = K(z,K(x,y)). 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,R(y,z,u) \ 1) != w | R(K(x,y \ 1),z,u) = w. R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,K(y,z)) \ z = T(z,K(x,y)). K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. K(K(x,y),z) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). 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). K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). 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,K(y,z)) != u | K(z,K(y,x)) = u. x != K(K(y,z),u) | K(y,K(z,u)) = x. 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(K(u,y) * x,K(y,z)). K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). R(x,K(y,z) * u,K(u,K(y,w))) = x. x != K(y,T(z,u)) | K(y,T(z,R(y,w,v5) * u)) = x. K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z)) = K(y,K(y * x,z)). K(x,K(x * y,z)) = K(y,K(x,z)). x != K(y,K(z,u)) | 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(y,K(z,u)) | K(z \ y,K(z,u)) = x. K(x \ y,K(x,z)) = K(x,K(y,z)). x * K(y,K(x,z)) = T(x,K(y,z)). K(x,K(y,z)) * y = T(y,K(x,z)). (K(x,y) * K(x,K(z,y))) * z = z * K(x,y). x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. K(x,K(y,z * y)) = K(y,K(x,y * z)). K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). K(x,K(y,z)) = K(K(y,z),x). K(K(x,y),z) = K(z,K(x,y)). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(K(x,y),z) = K(x,K(z,y)). 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(z,u) * K(u,T(z,y)) = x. K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). x != K(y \ z,K(y,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(y,K(z,y \ x)). K(x,K(y,x \ z)) = K(z,K(x,y)). K(x,K(y,z)) * y = T(y,K(z,x)). K(x,K(y,z)) * z = T(z,K(x,y)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). x * T(x \ y,K(z,u)) = y * K(z,K(u,x \ y)). 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))). (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). x * K(K(y,z),x) = T(x,K(y,z)). K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) * K(x,K(y,z)) = 1. 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. K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. x / K(y,K(z,u)) = x * K(y,K(z,u)). (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). K(x,K(y,z)) \ (x * u) != w | T(x,K(y,z)) * u = w. T(x / y,K(z,u)) \ x = y * K(y \ x,K(z,u)). K(x,K(y,z)) != u | K(x,K(z,y)) = u. T(T(x,K(y,z)),K(y,z)) = x. x * K(K(y,z),x) != u | T(x,K(z,y)) = u. T(x,K(y,z)) = T(x,K(z,y)). T(x,K(y,z)) * K(y,z) = K(y,z) * x. 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))). x != K(y,z) * u | K(z,w) * (K(y,z) * (K(z,w) \ u)) = x. K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(T(K(z,x) * u,K(w,v5)),K(w,v5)). T(T(K(x,y) * z,K(u,w)),K(u,w)) = K(y,v5) * (K(x,y) * (K(y,v5) \ z)). T(T(K(x,y) * z,u),K(x,y)) != w | T(z * K(x,y),u) = w. T(x * K(y,z),K(y,z)) = K(y,z) * x. T(x,K(y,z)) != K(z,y) * u | u * K(z,y) = x. x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(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. T(K(x,y),z) * z = z * K(x,y). (x * K(y,z)) / x = T(K(y,z),x). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. 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(x,y) = T(T(x,K(y,z)),T(y,z)). T(T(x,K(y,z)),T(y,z)) = T(x,y). T(x,T(y,z)) = T(T(x,K(z,y)),y). T(T(x,K(y,z)),z) = T(x,T(z,y)). K(x,T(y,z)) * z = z * K(x,y). T(T(K(x,y),z),z) = K(x,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,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(z \ y,u) | K(y / z,u) = x. K(x / y,z) = T(K(y \ x,z),x). T(K(x \ y,z),y) = K(y / x,z). 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). K(T(x,y),z) * y = y * K(x,z). K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). K(x \ y,z) * y = y * K(y / x,z). K(T(x,y),T(z,y)) = K(x,z). K(x,T(y,z)) * (z * K(y,x)) = z. K(x,y / z) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / y). x * y != y * K(z,L(T(u,y),w,v5)) | K(z,L(u,w,v5)) = x. K(x,L(y,z,u)) = K(T(x,w),L(T(y,w),z,u)). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(x,y \ z) * y = y * K(x,z / y). K(x,T(T(y,z),z)) = K(x,y). K(x,T(y,z)) = K(z / (z / x),y). K(x / (x / y),z) = K(y,T(z,x)). K(T(x * K(y,z),x),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). K(x \ y,T(z,x)) = K(y / x,z). K(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). K(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(T(x,y \ z),y) = K(x,z / (z / y)). K(x,T(y,z * x)) = K(z \ T(z * x,x),y). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). x * K(T(x,y),T(z,y)) = T(x,z). K(x,y) * T(x,z) = T(T(x,z),T(y,z)). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(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. R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). K(x \ 1,T(y,z)) = K(x \ K(z,x \ 1),y). K(x \ K(y,x \ 1),z) = K(x \ 1,T(z,y)). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). K(x \ y,T(z,y)) = K(y / x,z). (x * K(y,z)) / x = K(y,T(z,x)). K(x,y / z) = K(x,T(z \ y,z)). K(x,T(y \ z,y)) = K(x,z / y). x * y != y * K(z,u \ y) | K(z,y / u) = x. 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(z,(y \ u) \ 1) | K(z,y / u) = x. K(x,y / z) = K(x,T((y \ z) \ 1,y)). K(x,T((y \ z) \ 1,y)) = K(x,y / z). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,T(u,y)),y). L(x \ y,x,K(z,T(u,x))) = (x * K(z,u)) \ (K(z,T(u,x)) * y). (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K(x * K(y,z),K(y,u)) = K(x,K(y,u)). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),z * T(y,w),u). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). K(L(x,y,z),y) = K(x,L(y,x,z)). 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). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). K(x \ 1,T(y,z)) != u | K(T(x,z) \ 1,y) = u. K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). K(L(x,y,x),T(z,u)) != w | K(x,T(z,u * x)) = w. K(x,T(T(y,z),z * x)) = K(L(x,u,x),y). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K((x * y) / x,z) != u | K(y,T(z,x)) = u. L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). K(L(x \ 1,y,z),T(u,w)) = K(L(x \ K(w,x \ 1),y,z),u). K(L(x \ K(y,x \ 1),z,u),w) = K(L(x \ 1,z,u),T(w,y)). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). x != K(L(L(y,z,u),w,v5),u) | K(L(y,w,v5),u) = x. K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). 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 * x)),y) = K(x,(y / z) \ x). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). K(x,T((y * x) \ z,y)) = K(x,z / (y * x)). 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)). x != K(y,T(z,u)) | K(y,z) * K(y,K(z,u)) = x. K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y). K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). K(L(x,y,z),u) = L(K(x,u),x * y,z). L(K(x,y),x * z,u) = K(L(x,z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). L(K(x,(y \ 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,w) = K(L(x,T(x,z) \ u,w),y). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != K(L(T(y,z),u,w),T(v5,z)) | K(L(y,u,w),v5) = x. K(L(x,y,z),u) = L(K(x,u),T(x,w) * y,z). L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). L(K(x,y),z,u) = K(L(x,T(x,w) \ z,u),y). K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). x != L(y,1,z) | y = x. K(x,y) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = K(x,u). K(L(x,T(x,y) \ z,u),w) != v5 | L(K(x,w),K(y,x) * z,u) = v5. L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). K(L(x,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. L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). L(K(x,y),z * K(y,x),u) != w | (u * (z * K(y,x))) \ (u * z) = w. (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). K(x,y) = L(K(x,y),K(z,x),u). L(K(x,y),K(z,x),u) = K(x,y). a(x,K(y,z),K(z,u)) = 1. (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 != L(K(y \ 1,z),u,w) | K(L(y,u,w) \ 1,z) = x. K(L(x,y,z) \ 1,u) = (z * (y * K(u,x \ 1))) \ (z * y). (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) != u | K(z,x) = u. K(x,y) = L(K(x,y),z,y \ 1). L(K(x,y),z,y \ 1) = K(x,y). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). x \ y != K(z,u) | y * K(u,z) = x. (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). K(x,y) != z | (u * K(y,x)) \ u = z. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. L(L(K(x,y),z,u),w,v5) = K(x,L(L(y \ 1,z,u),w,v5) \ 1). K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). (x * (R(y,z,u) * K(w,y))) * v5 != x * R(y,z,u) | K(y,w) = v5. K(x,y) = L(K(x,y),R(x,z,u),w). L(K(x,y),R(x,z,u),w) = K(x,y). (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 * 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 * L(K(y,z),u,w) != v5 | x = v5 * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. (x * K(y,z)) * K(z,z * y) != u | (x / R(z,y,z)) * z = u. (x / R(y,z,y)) * y = x * (K(z,y) * K(y,y * z)). x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R(x,K(y,z),L(K(z,u),w,v5)) = x. 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). R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). x * 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). R(x,K(y,z),K(z,u)) != w | R(x,K(z,u),K(y,z)) = w. R(x,K(y,z),K(u,y)) = 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,T(K(y,z),u),K(z,w)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). R((x * 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)). x != K(y \ L(y,z,u),w) | (L(y,z,u) \ y) * T(y \ L(y,z,u),w) = x. (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). x != K(y,K(z,u)) | K(y,K(z,T(u,y))) = x. K(x,K(y,T(z,x))) = K(x,K(z,y)). K(x,K(y,z)) * x = T(x,K(z,y)). x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). 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,K(y,z)) * (K(y,z) * u) != w | K(y,T(z,x)) * u = w. (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). 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) = (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). (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). 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)). T(x,a(y,z,K(x,u))) = x. K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). 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). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). 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). 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 \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). 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) * 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)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) != v6 | L(a(v5,w,K(x,y)),z,u) = v6. 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)). x * L(y,z,u) != y | L(y,z,u) \ y = x. L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). x * L(a(y,z,K(u,w)),u,v5) = x * a(y,z,K(u,w)). a(x,y,a(z,u,K(y,w))) = 1. (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). a(x,T(y,z),a(u,w,K(y,v5))) = 1. K(x,y) != T(z,u) | T(K(x,y),u) = z. T(x,y) != K(z,u) | T(K(z,u),y) = x. x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. (x * K(y,z)) * (K(z,y) * L(K(y,z),u,w)) != v5 | (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z) = v5. (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)). 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)). 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)). K(x,y) = L(K(x,y),z,u) * a(u,z,K(x,y)). L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). 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,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). (x * R(K(y,z),u,w)) * K(z,v5) != v6 | x / (K(v5,z) * R(K(z,y),u,w)) = v6. x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = 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)). (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. a(x,y / x,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. K(x,y) * K(y,y \ x) != z | y \ R(y,y \ x,y) = z. x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). x * a(x,y,x) = R(x,y,x). x \ R(x,y,x) != z | T(x,u) \ R(T(x,u),y,x) = z. T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x \ R(x,(y \ z) \ 1,x) != u | K(x,z \ y) * K(z \ (y * x),x) = u. K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). x \ R(x,y,x) != z | K(x,y) * K(y * x,x) = z. K(x,y) * K(y * x,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). x \ R(x,x \ y,x) != z | K(y,x) * K(x,x \ y) = z. K(x,y) * K(y,y \ x) = a(y,y \ x,y). a(x,y,x) * x = R(x,y,x). x * (a(x,y,x) * z) = R(x,y,x) * z. a(x,y,x) \ K(x * y,x) = K(y,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). K(x,T(y,z)) * a(y,u,y) = T(y,T(x,z)) \ R(y,u,y). T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). R(x,x \ 1,a(y,x \ 1,y)) = x. a(x,y,x) * K(y,x) = K(x * y,x). K(x,x * y) * a(x,y,x) = K(x,y). K(x,y) * a(y,x,y) = K(y * x,y). 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. a(x,y,x) * K(x,x * y) = K(x,y). 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(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(T(x,y),y \ z) != u | K(x,z / y) = u. K(L(x \ y,z,u),T(w,x)) != v5 | K(L(y / x,z,u),w) = v5. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(x,T(T(y,z),z)) != u | K(x,y) = u. T(K(x,T(y,z)),z) != u | K(x,y) = u. 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,R(y,z,u)) = R(K(x,y),T(y,w) * z,u). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). K(x,R(y,T(z,y),u)) != w | R(K(x,y),z * y,u) = w. R(K(x,y),z * y,u) = K(x,R(y,z,u)). K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(K(x,y),z) != u | K(z,K(x,y)) = 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,K(y,z)) != u | K(y,K(z,x)) = u. K(K(x,y),z) != u | K(y,K(z,x)) = u. K(x,y) * (L(K(z,x),u,w) * v5) != v6 | L(K(z,x),u,w) * (K(x,y) * v5) = v6. L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). a(x,y,x) \ K(y * x,x) = K(y,x). a(x,y,x) * K(y,x) = K(y * x,x). x != (1 / R(y,z,y)) * y | K(z,y) * K(y,y * z) = x. K(x,y) * K(y,y * x) = R(y,x,y) \ y. x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). T(x * y,x) = a(x,y,x) * (y * x). a(x,y,x) * (y * x) = T(x * y,x). x \ y = a(x,z,x) * (R(x,z,x) \ y). a(x,y,x) * (R(x,y,x) \ z) = x \ 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)). K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(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((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). K(x / y,z) = K((x \ y) \ 1,T(z,y)). K((x \ y) \ 1,T(z,y)) = K(x / y,z). K(L(x \ y,x,z),T(u,z * x)) != w | K((z * y) / (z * x),u) = w. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. T(K(x \ y,z),x) != u | K(y / x,z) = u. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(K(x,y) * z,K(x,u)) != w | K(x,K(z,u)) = w. K(K(x,y),z) != u | K(x,K(y,z)) = u. K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,T(y \ z,z)) != u | K(x,z / y) = u. x != K(y * z,y) | K(z * y,y) = x. K(x * y,y) = K(x,y) * a(y,x,y). K(x,y) * a(y,x,y) = K(x * y,y). K(x,y) * K(x * y,x) != z | z = a(x,y,x). K(x,y) * K(x * y,x) != z | a(x,y,x) = z. 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(x,K(y,z)) = K(y,z) * (x * K(z,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). T(K(x,y) * z,K(y,x)) != u | u = z * K(x,y). T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). T(x,y * T(z,K(x,u))) = T(x,y * z). x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). K((x * y) / x,T(z \ 1,u)) = K(y,T(T(z,u) \ 1,x)). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,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(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). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. K((x * y) \ z,T(u,y)) != w | K(L((x \ z) / y,y,x),u) = w. K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) = K(y,T(x,z)) * K(x,y). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. K(x,y) * a(x,x \ y,x) = K(x,x \ y). (x * K(y,y * z)) \ (x * K(y,z)) = L(a(y,z,y),K(y,y * z),x). L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). K(x,x \ y) * K(y,x) = a(x,x \ y,x). a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. (x * y) * a(y,x,y) = T(y * x,y). K(x,y) * K(y,K(x,z)) != u | u = K(x,T(y,z)). K(x,y) * K(y,K(x,z)) != u | K(x,T(y,z)) = u. K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). 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. K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. 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. L(K(x,y),z,u) * (K(y,x) * w) != v5 | a(u,z,K(y,x)) * w = v5. a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). 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. (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = 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). 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). a(x,L(y,z,u),K(w,y)) = 1. x * ((x * K(y,z)) / x) = K(y,z) * x. T(K(x,y),y) != z | K(x,y) = z. K(x,T(x * y,y)) != z | K(x,x * y) = 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 \ y,T(T(z,x),u)) = K(y / x,T(z,u)). K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). K(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)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(K(x,y),z) * y = T(y,K(z,x)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. K(R(x,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). K(R(x,y,z),u) = K(R(x,K(w,x) * y,z),u). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,y) * K(y,K(z,x)) = T(K(x,y),z). 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). x * y != K(z,u) * T(z,w) | x \ T(T(z,w),T(u,w)) = y. T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). T(x * R(y,z,u),x) / x != w | R(T(x * y,x) / x,z,u) = w. R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x,y) / y = (y \ x) * a(y,y \ x,y). (x \ y) * a(x,x \ y,x) = T(y,x) / x. T(x * a(y,x,y),y) = y \ T(y * x,y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x * T(y,T(x,z)) = T(y * x,K(z,x)). x != T(T(y,z),K(z,u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. 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)). T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. K(x,y / z) = K(x,z \ y) * K(x,K(z,z \ y)). K(x,y \ z) * K(x,K(y,y \ z)) = K(x,z / y). K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * z = K(x,x * y) * (a(x,y,x) * z). K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,z,u)) = K(x,L(y,z * K(w,y),u)). K(x,L(y,z * K(u,y),w)) = K(x,L(y,z,w)). K(x,L(y,K(y,z) * u,w)) != v5 | L(K(x,y),T(y,z) * u,w) = v5. L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. x / T(x,y * K(z,y)) = K(y,T(x,z)). K(x * K(y,x),z) = K(x,T(z,K(L(x,u,w),v5) * y)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). K(x,K(y,z) \ 1) * y = T(y,K(x \ 1,z)). K(x,K(y,z)) * z = T(z,K(x \ 1,y)). T(x,K(y \ 1,z)) = K(y,K(z,x)) * x. x * y != T(y,K(z,u)) | K(u,K(y,z)) = x. K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y \ 1,z)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(z,K(u,y)) = x. K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). x != K(y,K(z,u)) | K(z,K(u,y)) \ 1 = x. K(x,K(y,z)) \ 1 = K(x,K(y,z \ 1)). K(x \ 1,K(y,z)) = K(x,K(y,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,z)) = K(z \ 1,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. 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,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 * (y \ z)) \ 1,z) != u | x * (y \ ((z \ (y * (x \ 1))) * z)) = u. x * (y \ ((K(z,u) \ (y * (x \ 1))) * K(z,u))) = K(z,K(u,x * (y \ K(z,u)))). 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,R(z,u,w) \ 1)) != v5 | R(K(x,K(y,z \ 1)),u,w) = v5. R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). K(x,K(y,z \ u)) = K(x,K(y,u \ z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z / (u * z))) = K(x,K(y,u)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) != 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))). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) != v5 | K(x,K(a(z,u,w),T(y,z * (u * w)))) = v5. K(x,K(a(y,z,u),T(w,y * (z * u)))) = K(x,K(R(y,z,u) \ y,R(w,y,z * u))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). 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))). 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. T(K(x,y),z) = T(K(x,y),z \ 1). T(K(x,y),z \ 1) = T(K(x,y),z). T(K(x,y),z \ 1) != u | K(x,T(y,z)) = u. L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). 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))). x * y != R(K(z,K(u,w)),v5,v6) | x \ K(z,K(u,R(w,v5,v6))) = y. (K(x,K(y,z)) * u) \ K(x,K(y,R(z,u,u \ 1))) = u \ 1. x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). x != K(y,K(z,R(u,w,v5))) | K(y,R(K(u,z),w,v5)) = x. K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). K(x,K(y,z)) = K(x,K(y,R(z,y,u))). K(x,K(y,R(z,y,u))) = K(x,K(y,z)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,((z \ 1) * u) * (w \ 1))) != v5 | K(x,K(y,w * ((u \ 1) * z))) = v5. K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w \ K(u,z))) = v5. K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). x * K(y,z) != a(u,w,K(y,z)) | L(K(z,y),w,u) = x. L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). x != K(y,L((z \ u) \ y,u / z,z)) | K(y,u \ (z * y)) = x. K(x,y \ (z * x)) = L(K(x,x * (y \ z)),y \ z,z * (y / z)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * 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). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). K(x,T(L(y,z,u),w)) = K(x,L(T(y,w \ 1),z,u)). K(x,L(T(y,z \ 1),u,w)) = K(x,T(L(y,u,w),z)). K(x,T(y,z)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z)). K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x * y,T(z,y)) = K(x * y,T(z,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,T(y * z,y)) = K(x,T(y * z,z)). K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. 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)). T(T(x,K(y,z)),K(y,z)) * K(K(y,z) * x,T(x,K(y,z))) = R(T(x,K(y,z)),K(y,z),T(x,K(y,z))). (K(x,y) * z) * K(y,x) != u | T(z,K(x,y)) = u. T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). a(x,y,x) * T(x,z) = R(T(x,z),y,x). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). x / y != K(z,T(x,u)) | T(x,T(z,u)) = y. T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). T(x,(y * z) / y) = T(x,T(z,y)). T(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = T(x,y). T(x,y / z) = T(x,T(z \ y,z)). T(x,T(y \ z,y)) = T(x,z / y). T(x,((y \ z) \ z) \ z) = T(x,z / y). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). x \ R(x,y,T(L(x,z,u),y)) = a(x,y * K(L(x,z,u),y),L(x,z,u)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). K(x,y / z) = K(x,y / (z * K(u,x))). K(x,y / (z * K(u,x))) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / (z * T(u,x))) = K(x,y / (z * u)). K(x,y / z) = K(x,y / (z * K(x,u))). K(x,y / (z * K(x,u))) = K(x,y / z). K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). 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 * u) * x)) != w | K(x,y / ((z * x) * u)) = w. K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). 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,K(y,z)) = K(x,K(x * y,z)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(y,x * z)) = K(x,K(z,y)). K(x,K(y,y * z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y,x * z)). K(x,K(y,x * z)) = K(x,K(y,z)). K(x,K(y,z)) * z != u | T(z,K(x \ 1,y)) = u. T(x,K(y \ 1,z)) = T(x,K(z,y)). L(K(x,y),z,u) * K(y,x) = a(u,(z / T(y,w)) * y,K(y,x)). a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). x != L(K(y,z),u,w) * K(z,y) | a(w,u,K(z,y)) = x. a(x,y,K(z,u)) = a(x,(y / T(z,w)) * z,K(z,u)). a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. K(x,(y * x) / z) = K(x,T(z \ (y * x),y)). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). K(x / y,x / z) = K(y \ x,z \ x). 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 \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. K(x,y / (z * u)) = K(x,y / ((z * K(w,x)) * u)). K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,y / (z * u)) = K(x,y / ((K(x,w) * z) * u)). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w. K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(y,K(z,L(x,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). R(x,K(y,z),K(u,y)) != w | x = w. 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)) \ (x * K(y,u)) = K(y,u) * K(z,y). (x * K(y,y * z)) \ (x * K(y,z)) != u | L(a(y,z,y),K(y,y * z),x) = u. L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). x != K(y,z) * K(y * z,y) | a(y,z,y) = x. a(x,y,x) = L(a(x,y,x),K(x,x * y),z). L(a(x,y,x),K(x,x * y),z) = a(x,y,x). x / a(y,z,y) = (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. T(K(x,y / z),y) != u | K(x,z \ y) = u. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. x != K(y,(z / u) \ y) | K(y,(y * u) / z) = x. K(x,(x * y) / z) = K(x,y / (x \ z)). 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). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). a(x,x \ y,x) * K(x,y) = K(x,x \ y). x * K(y,z) = T(K(z,y) \ x,K(z,y)). T(K(x,y) \ z,K(x,y)) = z * K(y,x). x * T(y,K(z,x)) = T(x * y,K(x,z)). x * (K(x,y) * z) = T(x * (z * K(x,y)),K(x,y)). T(x * (y * K(x,z)),K(x,z)) = x * (K(x,z) * y). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. 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(x,(x \ y) / z) = K(x,y / (x * z)). x != K(y,z / (y * u)) | K(y,z / (u * y)) = x. K(x,y / (z * x)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,y / (z * x)). K(x,(x \ y) * K(z,u)) = K(x,y / (K(u,z) * x)). K(x,y / (K(z,u) * x)) = K(x,(x \ y) * K(u,z)). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. K(x,K(y,y * z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,x \ z)). K(x,K(y,x \ z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,x \ y)). K(x,K(y,x \ z)) = K(x,K(z,y)). T(x,K(y \ 1,z)) = T(x,K(y,z)). 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))). 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,(y \ 1) \ z) = K(x,T(z / (y \ 1),y)). K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). K(x,T(y,z / u)) = K(x,T(y,u / z)). 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 \ 1))) = K(x,T(y,u \ (z \ 1))). K(T(x,y),z) = K(x,y / (y / z)). K(x,y / (y / z)) = K(T(x,y),z). K(x,T(y,z)) * (z / y) = (z / y) * K(x,(z / y) \ z). (x / y) * K(z,(x / y) \ x) = K(z,T(y,x)) * (x / y). K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). x != K(y,K(z,u)) * (K(y,z) * w) | K(y,T(z,u)) * w = x. K(x,T(y,z)) * T(u * K(y,x),w) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). 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)). T(x,K(y,z) * K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). 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)). 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 | 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(y,u)) = T(x,K(u,y) * 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(u,y)) = x * K(x,K(y,u) * K(z,y)). x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). 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(T(x,K(y,z)),y \ 1) = T(x,T(y \ 1,z)). T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. T(x,K(y \ z,u)) != w | T(x,K(u,z \ y)) = w. T(x,K(y,z \ 1)) != u | T(x,K(y,z)) = u. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. K(x,y \ (x \ z)) != u | K(x,(y * x) \ z) = u. a(x,K(y,z),K(u,y)) = 1. a(x,y,K(z,u)) * z = z * a(x,y,K(z,u)). a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). L(K(x,y),K(y,z),u) = K(x,y). K(x,y) * K(y,K(z,x)) != u | T(K(x,y),z) = u. K(x,K(y,z)) / y != u | 1 / T(y,K(x,z)) = u. x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x / T(y,z),y) = T(y,T(z,x)) \ x. R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). K(x,T(y,z)) * (z * x) = z * T(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). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). T(x,T(y,y \ z)) != u | T(x,T(y,z)) = u. T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). K(x,K(y,z \ x)) = K(z,K(x,y)). 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). T(K(x,y),y * z) != u | K(x,T(y,z)) = u. K(x \ (y * z),T(y,z)) = K((y * z) / x,y). x / K(x / y,z) = K(y \ x,z) \ x. K(x / y,T(z,x)) != u | K(y \ x,z) = u. 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,(y * z) / y) != u | K(x,T(z,y)) = u. 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). L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). K(x \ y,T(z \ (x \ y),y)) != u | K(x \ y,x \ (z \ y)) = u. K(x \ y,x \ (z \ y)) = K(y / x,z \ (x \ y)). K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). K((x * y) \ x,z) != u | K(1 / y,z) = u. K(1 / x,T(y,z)) = K(z / (z * x),y). K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). K(x,T(y,z)) * z != u | u = z * K(x,y). K(x,T(y,z)) * z != u | z * K(x,y) = u. R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). 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 \ (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). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x * 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)). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). K(R(x / y,y,z),T(u,x * z)) != w | K((y * z) \ (x * z),u) = w. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). 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(T(x,y),z) * (y * x) = y * T(x,z). K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). (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)). 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)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). K(x,((y \ z) / z) \ (x \ 1)) != u | K(x,(y * (z / y)) / ((z / y) * x)) = u. 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,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. 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)). 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)). 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. 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. K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | 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)) * K(z,L(y,z,x)) != u | x * (z * y) = u. 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 * K(y,z)) * (z * y) = x * (y * z). x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). (x * K(y,z \ 1)) * (z * (y \ 1)) = x * ((y \ 1) * z). T(K(x,y \ 1) * z,K(x,y)) = z * K(x,y \ 1). T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x != T(y,z) \ y | K(z,y) = x. 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 != y * (K(y,z) * u) | T(y,z) * u = x. T(x,y) * z = T(x * (z * K(x,y)),K(x,y)). T(x * (y * K(x,z)),K(x,z)) = T(x,z) * y. T(x * (y * z),K(x,z)) = T(x,z) * (y * T(z,x)). T(x,y) * (z * T(y,x)) = T(x * (z * y),K(x,y)). T(x,K(y,z \ u)) = T(x,K(y,u \ z)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). T(x * y,K(y,x)) != z | x * y = z. (x \ 1) * y = T((x \ 1) * y,K(y,x)). T((x \ 1) * y,K(y,x)) = (x \ 1) * y. K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). (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). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). ((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)). 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 \ (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,T(z,y)) != u | K(y / x,z) = 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. K(x,y / z) = K(x,(K(x,u) * y) / z). K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). K(x,K(y,z \ 1)) = K(y,K(x,z)) \ 1. K(x,K(y,z)) \ 1 = K(y,K(x,z \ 1)). K(x,K(y,z)) \ 1 = K(x,K(y,(x * z) \ 1)). K(x,K(y,(x * z) \ 1)) = K(x,K(y,z)) \ 1. K(x,K(y,(x * z) \ 1)) = K(y,K(x,z)) \ 1. x \ 1 != K(y,K(z,(y * u) \ 1)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(x,K(y,y * z)). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z)) = K(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)). 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)) * K(y * z,y) = K(y * z,T(y,x)). K(x,K(y,z \ y)) = K(x,K(y,z)). K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). T(x \ y,z) * K(z,y / x) = (x \ y) * K(z,K(x,y)). K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). K(x,((y * z) / y) \ u) * K(x,K(z,T(u,y))) = K(x,u / ((y * z) / y)). K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,(z \ 1) / y). K(x,L(y,z,u)) = K(x,L(T(T(y,w),w),z,u)). K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). K(x,L(T(y,z),u,w / (u * y))) * z = z * K(x,((w / (u * y)) * u) \ w). x != K(y * K(z,y),u) | K(y,T(u,z)) = x. 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))). K(x,T(y,z * u)) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). K(x,T(y,z * (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). K(x,(y * x) \ z) = K(x,x \ (y \ z)). 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). R(x,y,K(z \ y,z)) = x. T(x * ((y \ z) * y),K(y \ z,y)) = K(y \ z,y) * (x * z). R(R(x,y / z,z),y,K(z \ y,z)) != u | R(x,z \ y,z) = u. R(x,y \ z,y) = R(x,z / y,y). R(x,y / z,z) = R(x,z \ y,z). R(x,y * z,K(z,y)) = x. R(x,y,T(z,y)) = R(x,y,z). x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). K(x,L(y,x,z)) = K(x,y). x * y != (z * (u * w)) * K(w,u) | (z * (w * u)) / y = x. (x * (y * z)) / z = (x * (z * y)) / T(z,y). (x * (y * z)) / T(y,z) = (x * (z * y)) / y. x * y != (z * (u * w)) * K(w,u) | x \ (z * (w * u)) = y. ((x * (y * z)) / z) \ (x * (z * y)) = T(z,y). T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). K(x,y) * (z * (y * x)) = T(z * (x * y),K(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). K(x,T((y * x) \ z,u)) = K(x,T(x \ (y \ z),u)). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). (x * K(y,z)) \ x = K(L(z,y,u),y). K(L(x,y,z),y) = (u * K(y,x)) \ u. R(x,y,z) * (z * y) = (x * y) * T(z,y). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). T(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = T(x,y). T(x,L(x \ y,x,z)) != u | T(x,z \ (x \ (z * y))) = u. T(x,y \ (x \ (y * z))) = T(x,x \ z). L(x,y,z) * T(y,x) = y * L(x,y,z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). L(x,T(y,T(x,z)),u) = L(x,T(y,K(x,z)),u). L(x,(y \ z) / x,y) != u | (y * ((y \ z) / x)) \ z = u. (x * ((x \ y) / z)) \ y = L(z,z \ (x \ y),x). L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. 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(L(x,y,z),y) != u | K(x,y) = u. L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. K(x,L(y,x,z)) != u | K(x,y) = u. K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x,(y * x) \ z) != u | K(x,x \ (y \ z)) = u. L(K(x,y),z,y * x) != u | K(x,y) = u. R(T(x,y),y / z,z) != u | T(y \ (((y / z) * x) * z),y / z) = u. T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),y \ x,y). R(K(x,(y / (z / u)) \ x),z / u,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ z) * u)) = R(K(x,(z / (y / u)) \ x),u \ y,u). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). R(K(x,(y / z) / u),y / z,z) != w | K(x,y / (u * z)) = w. K(x,y / (z * u)) = R(K(x,(y / u) / z),u \ y,u). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). ((x * (y * a(z,u,u \ 1))) / y) \ (L(a(z,u,u \ 1),y,x) * (y * x)) = T(y,x). ((x * y) \ x) * (x * y) = x * K(y,y \ (x \ 1)). ((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). x != K(y,y * z) | K(y,T(y * z,z)) = x. K(x,T(x * y,y)) = L(K(x,x * y),y,z). L(K(x,x * y),y,z) = K(x,T(x * y,y)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) != 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). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K((x / y) \ z,y) = K(y * (x \ z),y). K((x \ y) \ z,x) = K(x * (y \ z),x). K((x \ y) \ z,z) = K(z * (y \ x),z). K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. K(x \ y,z) = K(z * (x \ (z \ y)),z). K(x * (y \ (x \ z)),x) = K(y \ z,x). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. L(K(x,x * y),y,z) != u | K(x,x * y) = u. K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. 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) \ y)) = K(x,z \ x). K(x,x * (y \ z)) = K(x,(y * (x \ 1)) \ z). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). K(x,x * ((y * z) \ u)) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. 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(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))). 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(x,K(y,z \ u)) = K(y,K(x,z \ (u * x))). K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. 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). K(x,x \ (y * (x * z))) = K(x,y * z). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(y \ x,y). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). (x * T(y,z)) / (y * z) = R(x / z,z,y). L(x \ 1,x,y) * (y * x) = y * K(x,x \ (y \ 1)). 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,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(1 / x,T(y,z)) = K(1 / x,T(y,z * x)). K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. K(x,L(T(y,z),u,w)) * z != v5 | z * K(x,L(y,u,w)) = v5. K(x,y \ z) * y != u | y * K(x,z / y) = u. K(x,L(T(y,z),z,u)) * (u * z) != w | (u * z) * K(x,(u * (y * z)) / (u * z)) = w. (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). x * y != K(z,L(u,w,v5)) * x | K(z,L(T(u,x),w,v5)) = y. K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * (y * z)) / (u * z)). K(x,y) * (K(x,z) * (y * x)) != u | T(x,z) * y = u. T(x,K(y,z)) * y = K(x,T(y,z)) * (y * x). K(x,T(y,z)) * (y * x) = T(x,K(y,z)) * y. T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). (K(x,T(y,z)) * u) * K(y,x) = T(K(x,K(y,z)) * u,K(x,y)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. T(x,K(y,z)) * y = T(x * y,K(y,z)). x * y != K(z,T(u,w)) * (u * z) | T(z * u,K(u,w)) / y = x. T(x * y,K(y,z)) / y = T(x,K(y,z)). x * y != T((y \ z) * y,u) | y \ T(z,u) = x. x \ T(y,K(x,z)) = T(x \ y,K(x,z)). x != T(K(y,z) \ u,K(y,z)) | u * K(z,y) = x. T(K(x,T(y,z)) * u,w) * K(y,x) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). 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(K(x,T(T(y,z),u * z)),z,u) != w | (u * z) / (u * (K(y,x) * z)) = w. (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K(x,(y * z) / (y * (u \ z))) = K((y * z) / (y * (x \ z)),u). K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). K((x * y) / (x * (z \ y)),u) != w | K(z,(x * y) / (x * (u \ y))) = w. K((x * y) / (x * (z \ y)),u) != w | (x * (K(z,u) * y)) / (x * y) = w. (x * (K(y,z) * u)) / (x * u) = K(y,(x * u) / (x * (z \ u))). L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. (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 * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). 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,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). x != T(T(y,K(z,u)),K(z,w)) | T(y,K(z,u) * K(w,z)) = x. T(x,K(y,z) * K(R(u,w,v5),y)) = T(T(x,K(y,z)),K(u,R(y,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(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))). 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). a(x,y,T(x,z)) = x \ R(x,y,x). x != y \ R(y,z,y) | a(y,z,y) = x. a(x,y,x) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = a(x,y,x). a(x,y,x) = a(x,y,T(x,z)). a(x,y,T(x,z)) = a(x,y,x). a(x,T(y,x),x) != z | a(x,y,x) = z. a(x,y,T(x,z)) != u | a(x,y,x) = u. (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). (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 != T(y,T(z,u)) | T(y,T(z,u / y)) = x. T(x,T(y,z / x)) = (z * K(x,y)) / (x \ z). (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. K(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). 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 * 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. K(x,y / z) = K(x,((y \ z) * y) \ y). K(x,((y \ z) * y) \ y) = K(x,y / z). K(x,y / z) = K(x,T(1 / (y \ z),y)). K(x,T(1 / (y \ z),y)) = K(x,y / z). K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. K(x,(R(x,y,z) * u) / w) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). K(x,T(y,z * (x \ u))) != w | K(x,T(y,z * u)) = w. K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). K(x,y / (R(x,z,u) \ w)) != v5 | K(x,(y * R(x,z,u)) / w) = v5. K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w. K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). 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). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ ((y \ z) \ 1)). ((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. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. ((x * 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)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. (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). R(x / y,a(y,z,y),a(y,z,y) \ u) * u = (x / L(y,z,y)) * (a(y,z,y) \ u). (x * a(y,z,y)) \ (x * y) = L(y,z,y). (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. (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 != (1 / L(y,z,y)) * y | a(y,z,y) = x. a(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = 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. a(x,y,x) \ x = L(x,y,x). x * (L(x,y,x) \ z) != u | R(x,y,x) * (x \ z) = u. R(x,y,x) * (x \ z) = z * a(x,y,x). 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). x * (y * a(x,z,x)) = R(x,z,x) * y. T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). x * y != R(x,z,x) * u | a(x,z,x) * u = y. a(x,y,x) * z = z * a(x,y,x). x * y != R(x,z,x) * (x \ u) | L(x,z,x) \ u = y. L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. 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 / a(y,z,y) = a(y,z,y) \ x. (a(x,y,x) \ z) * a(x,y,x) = z. T(x,a(y,z,y)) = x. x * y != x * a(z,u,z) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). x / a(y,z,y) != u | u = a(y,z,y) \ x. x / a(y,z,y) != u | a(y,z,y) \ x = u. a(x,y,x) \ z = (z / (K(x,x * y) * a(x,y,x))) * K(x,x * y). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. x * y != a(z,u,z) \ z | x \ L(z,u,z) = y. (x * K(y,x)) \ L(x,y,x) = K(x,x * y). (x / R(y,z,y)) * y = a(y,z,y) \ x. (x / R(y,z,y)) * y != u | x * (y \ L(y,z,y)) = u. x * (y \ L(y,z,y)) = a(y,z,y) \ x. x * y != z \ (z * (u * y)) | u = x. x = (a(y,z,y) * (x * y)) / R(y,z,y). (a(x,y,x) * (z * x)) / R(x,y,x) = z. x != a(y,z,y) \ u | u / a(y,z,y) = x. x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. K(x,a(y,z,y)) = 1. x != T(y,a(z,u,z)) | x = y. T(x,a(y,z,y)) != u | u = x. a(x,y,x) * z != u | z * a(x,y,x) = u. T(x,y \ R(y,z,y)) = x. x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). (x * R(y,z,y)) / (x * y) = a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). x * y != a(z,u,z) * (w * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). x * y != a(z,u,z) * (w * z) | x \ (w * R(z,u,z)) = y. (x * y) \ (x * R(y,z,y)) = a(y,z,y). x * a(y,z,y) = (x / y) * R(y,z,y). (x / y) * R(y,z,y) = x * a(y,z,y). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). 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). x * a(y,z,y) != u | a(y,z,y) * x = u. x * R(a(y,z,y),u,w) = R(a(y,z,y),u,w) * x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). T(x,R(a(y,z,y),u,w)) = x. x * a(y,z,y) != u | a(y,z,y) \ u = x. a(x,y,x) \ (z * x) = z * L(x,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) * (z * L(x,y,x)) = K(x,x * y) * (z * x). (x / y) \ (a(y,z,y) \ x) = L(y,z,y). (x / y) \ (a(y,z,y) \ x) != u | u = L(y,z,y). (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). R(a(x,y,x) \ (z / u),a(x,y,x),u) != w | w = z / (a(x,y,x) * u). R(a(x,y,x) \ (z / u),a(x,y,x),u) != w | z / (a(x,y,x) * u) = w. (x * y) \ (R(x,z,x) * y) != u | u = a(x,z,x). (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). (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 * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) != w | L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)) = w. L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) = (u * (z * x)) * (L(x,z,u) \ R(L(x,z,u),y,L(x,z,u))). (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). x * (y * R(z,u,L(z,y,x))) = (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))). (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). L(a(x,y,x),z,x) != u | a(x,y,x) = u. ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). a(R(x,y,z),u,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,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). 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 * 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 / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). x / (K(y,z) * K(z,u)) != w | w = x * (K(z,y) * K(u,z)). x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). a(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y,R(x,z,u)) * 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 \ y) * ((K(z,u) \ 1) \ 1)) * K(w,z) = ((1 / (1 / x)) \ y) * (K(z,u) * K(w,z)). (x / y) * K(y / z,z) = x / (z * (y / z)). (x / (((y * z) / y) * y)) * K((y * z) / y,y) = x / (T(y,z) * z). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | a(z,y,R(z,u,w)) = x. a(x,y,R(x,z,u)) = a(x,T(y,R(x,w,v5)),R(x,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | 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 * 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)). T(x,(y * (x \ 1)) \ z) != u | T(x,y \ (x * z)) = u. T(x,y \ (x * z)) = T(x,x * (y \ z)). K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ 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 / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). K(x,T(y \ x,y \ z)) != u | K(x,T(y \ x,z)) = u. K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). K(x,((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,y / R(T(x,z),u,w)) != v5 | K(x,R(x,u,w) \ y) = v5. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. K(x,(x * y) \ z) != u | K(x,x \ (y \ z)) = u. K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). 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 != K(y,z / (y \ u)) | K(y,(u / z) \ y) = x. K(x,(y / z) \ x) = K(x,T(y \ (x * z),z)). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. 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),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 / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. 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)). T(x,y \ (x * z)) != u | T(x,x * (y \ z)) = u. 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). a(x,y,x) * z = K(y * x,x) * (K(x,y) * z). K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). x * y != T(z,T(u,w)) \ w | T(w / T(z,u),z) / y = x. T(x / T(y,z),y) / (y \ x) = K(z,T(y,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(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)). T(x,T(y / (z / x),u)) != w | T(x,T((y * x) / z,u)) = w. T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (T(x * y,x) / x) \ (y * x) = L(x,y,x). K(x,T((y * x) \ z,u)) != w | K(x,T(x \ (y \ z),u)) = w. K(x,T(x \ (y \ z),y)) = K(x,z / (y * x)). K(x,y / (z * x)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). 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) != 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. K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = K(y,x) * ((x * y) * z). K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = 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)). K(x,y) = K(x,R(y,x,z)). K(x,R(y,x,z)) = K(x,y). K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. K(R(x,y,z),y) = K(x,y). K(x,R(T(y,z),x,z)) != u | ((y * x) * z) \ ((x * y) * z) = u. ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). K(x,R(x \ (y / z),x,y / (y / z))) != u | K(x,y / (z * x)) = u. K(x,y / (z * x)) = K(x,x \ (y / z)). 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,T(y * x,z)) = K(1 / x,T(y / (1 / x),z)). K(1 / x,T(y / (1 / x),z)) = K(1 / x,T(y * x,z)). 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) * z) * K(y,T(x,z)) = (y * x) * z. ((x * y) * z) \ ((y * x) * z) != u | u = K(y,T(x,z)). ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. ((x * y) * z) * K(y,T(x,(y * x) * z)) = (y * x) * z. K(x,y) * ((y * x) * z) = (x * y) * z. L(x,y * z,K(z,y)) = x. K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). (x * y) * T(z,y * x) = K(x,y) * (z * (y * x)). K(x,y) * z = (x * y) * ((y * x) \ z). (x * y) * ((y * x) \ z) = K(x,y) * z. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * ((y * x) * z) != u | (y * x) * (K(x,y) * z) = u. (x * y) * (K(y,x) * z) = (y * x) * z. K(x \ y,x) * (y * z) = ((x \ y) * x) * z. K(x * y,R(z,x,y)) * (((z * x) * y) * u) = ((x * y) * R(z,x,y)) * u. K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). K(x,(x * y) / x) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. K(x * y,x / (x * y)) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. L(x,T(y,z),z) = L(x,y,z). L(x,y,z * K(y,z)) = L(x,y,z). L(L(x,y,z),z * y,K(y,z)) != u | (y * z) \ (z * (T(y,z) * x)) = u. (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). L(T(x,y) \ z,T(x,y),y) != u | (x * y) \ (y * z) = u. (x * y) \ (y * z) = L(T(x,y) \ z,x,y). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). (x * y) * L(z,x,y) = y * (T(x,y) * z). L(x,K(y,T(z,u)),u) = L(x,K(y,z),u). x * L(a(y,z,K(u,w)),T(u,v5),v5) = x * a(y,z,K(u,w)). x * (K(y \ x,y) * z) = ((y \ x) * y) * z. L(x,K(y,z),z * y) = x. (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. K(x,y) \ L(z,x,y) = (x * y) \ (y * (x * z)). (x * y) \ (y * (x * z)) = K(x,y) \ L(z,x,y). K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. 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)). x * K(R(x,y,z),y) = T(x,R(y,x,u)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). K(x,y / (z * x)) != u | K(x,(x \ y) / z) = u. K(x,(x \ y) / z) = 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,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). L(x,y,z / y) = L(x,y,y \ z). L(x,y \ z,y) = L(x,y \ z,(y \ z) \ z). L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). x \ (K(x / y,y) * z) = (y * (x / y)) \ z. x * y != (z * u) * ((u * z) \ w) | x \ (K(z,u) * w) = y. x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. (x * (T(y,x) * z)) / L(z,y,x) = y * x. (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). 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,x \ ((x * y) / z)) != u | K(x,y / z) = u. K(x,y / ((x \ z) * u)) = K(x,(x * y) / (z * u)). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. x * y != K(z,u) * (w * (u * z)) | x \ T(w * (z * u),K(z,u)) = y. (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). 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))). x != L(y,z,u) | L(y,T(z,u),u) = x. L(x,T(y,z),z) = L(L(x,y,z),K(u,w),w * u). L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). 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)). 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). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. T(x \ R(x,y,x),z) = x \ R(x,y,x). L(x,T(y,K(x,z)),x) = L(x,y,x). x * T(K(x,y),z) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = x * T(K(x,y),z). K(x,K(y,z)) = K(1 / y,K(x,z)). K(1 / x,K(y,z)) = K(y,K(x,z)). K(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). 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)). x * y != K(z \ 1,K(u,w)) | K(u,K(z,w)) / y = x. K(x,K(y,z)) / y = T(1 / y,K(x,z)). T(1 / x,K(y,z)) = K(y,K(x,z)) / x. K(x,K(y \ z,u)) != w | K(z \ y,K(x,u)) = w. 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). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. K(x,K(y,z \ x)) = K(x,K(z,y)). x != K(y,K(z,u)) | K(z,K(y,y * u)) = x. K(x,K(y,y * z)) = K(y,K(x,z * x)). K(x,K(y,z * y)) = K(y,K(x,x * z)). K(x * y,K(y,z)) = K(z,K(y,x)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y,z)) = K(x,K(z,y \ z)). K(x,K(y,z \ y)) = K(x,K(z,y)). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x * K(x * (y \ 1),y) = (y \ x) * y. L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = 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,y),y * z,u) != w | K(x,L(y,z,u)) = w. K(L(x \ y,x,z),L(x,u,w)) != v5 | K(z \ (x \ (z * y)),L(x,u,w)) = v5. K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). R(T(x,x \ y),z,u) != w | R((x \ y) \ y,z,u) = w. R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). 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). L(K(x,T(y,z)) * u,K(y,T(x,z)),z) != w | (K(y,x) * z) \ (z * u) = w. (K(x,y) * z) \ (z * u) = L(K(y,T(x,z)) * u,K(x,y),z). L(K(x,T(y,z)) * u,K(y,x),z) = (K(y,x) * z) \ (z * u). x \ (K(x * y,(x * y) \ x) * z) = (L(y \ 1,y,x) * (x * y)) \ z. (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,(y * x) \ y) * z). (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,x \ 1) * z). (x * K(y,y \ (x \ 1))) \ z = x \ (K(x * y,y \ 1) * z). K(x,x \ (x * y)) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. K(x,y) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. K(x,y) * ((x * y) * z) = (T(x,y) * y) * z. K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). T(x * K(y,T(x,z)),y) = T(x,K(y,z)). T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. T((x \ y) * K(z,y / x),z) != u | T(x \ y,K(z,y)) = u. (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). 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)). 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). x != R(y,K(z,u),T(w,K(z,v5))) | R(y,K(z,u),w) = x. R(x,K(y,z),u) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). x != K(y,T(z,u)) | K(y,z) * K(z,K(y,u)) = x. K(x,y) * K(y,K(x,z)) = T(z / T(y,x),y) / (y \ z). T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,x)). T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,y \ x)). T(x / T(y,z),y) / (y \ x) != u | K(z,T(y,x)) = u. x * y != T(z,u) * (L(T(z,u),w,z) \ x) | a(z,w,z) = y. a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (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). (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). (x * (T(y,x) * z)) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. (x * T(y,z \ 1)) * (z * (y \ 1)) = (x * y) * ((y \ 1) * z). 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)). x != K(y,z) * K(y,K(z,u)) | T(K(y,z),u) = 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). R(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). T(x,(y \ z) \ z) != u | T(x,T(y,z)) = u. T(x,T(y \ z,z)) = T(x,z / y). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. ((K(x,y) * z) * ((K(u,w) \ 1) \ 1)) * K(v5,u) = ((1 / (1 / K(y,x))) \ z) * (K(u,w) * K(v5,u)). ((K(x,y) * z) * K(u,w)) * K(v5,u) = ((1 / (1 / K(y,x))) \ z) * (K(u,w) * K(v5,u)). ((1 / (1 / K(x,y))) \ z) * (K(u,w) * K(v5,u)) = ((K(y,x) * z) * K(u,w)) * K(v5,u). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. K(x \ (y \ z),y) * z = z * K(z / (y * x),y). x \ T(x * K(x / y,z),x) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). K(x,(y * (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,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). 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),(u * w) \ v5) = K(L(x,y,z),x \ ((u * (x \ w)) \ v5)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). x != (y * (y \ z)) \ u | z \ u = x. x \ ((K(y,z) \ x) * u) = L(K(z,T(y,K(y,z) \ x)) * u,K(y,z),K(y,z) \ x). L(K(x,T(y,K(y,x) \ z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). 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). T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(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). (x / (y * z)) * K((y * z) / y,y) = x / (T(y,z) * z). (x / (y * z)) * K(y \ (y * z),y) = x / (T(y,z) * z). (x / (y * z)) * K(z,y) = x / (T(y,z) * 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. a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x * y != K(z \ u,z) * (u * w) | x \ (((z \ u) * z) * w) = y. (x \ y) \ (((x \ y) * x) * z) = K(x \ y,x) * ((x \ y) \ (y * z)). K(x \ y,x) * ((x \ y) \ (y * z)) = (x \ y) \ (((x \ y) * x) * z). (x / y) \ (x * z) = (y \ x) \ (((y \ x) * y) * z). (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. T(x,y / (x \ z)) = T(x,(z / y) \ x). T(x,y / (x \ z)) != u | T(x,(y * x) / z) = u. T(x,(y * x) / z) = T(x,(z / y) \ x). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) * z = x * (a(x,y,x) \ z). x * (a(x,y,x) \ z) = L(x,y,x) * z. x * y != z * (a(z,u,z) \ w) | (L(z,u,z) * w) / y = x. (L(x,y,x) * z) / x = (a(x,y,x) \ z) * K(x,a(x,y,x) \ z). (a(x,y,x) \ z) * K(x,a(x,y,x) \ z) = (L(x,y,x) * z) / x. T(x * K(y,z \ 1),y \ 1) = T(K(y,z \ 1) * x,T(y \ 1,z)). T(K(x,y \ 1) * z,T(x \ 1,y)) = T(z * K(x,y \ 1),x \ 1). x != y * K(T(z,u),w) | y * K(z,T(w,u)) = x. K(x,y) * K(z,T(x,u)) = (K(x,z) * u) \ (u * K(x,y)). (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)). K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. 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,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,z \ y)) != u | K(x,K(y,z)) = u. x != K(y,K(z,u)) | K(u,K(y,z)) = x. K(x,K(y,z)) = K(y,K(z \ x,x)). K(x,K(y \ z,z)) = K(z,K(x,y)). K(x,y \ (z * (x * u))) != w | K(x,y \ (z * (u * x))) = w. K(x,x \ (y * (z * x))) = K(x,y * z). K(x,K(y,z * u)) = K(x,K(y,z * (u * y))). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). 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. 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). T(1 / x,K(y,z)) \ 1 != u | u = T(x,K(y,z)). T(1 / x,K(y,z)) \ 1 != u | T(x,K(y,z)) = u. x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. x * ((y * (x / y)) \ z) = K(y \ x,y) * z. x != K(y \ z,y) * u | ((y \ z) * y) * (z \ u) = x. ((x \ y) * x) * (y \ z) = y * ((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 != ((z \ x) * z) * u | K(z \ x,z) * u = y. K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. K((T(x,y) \ 1) \ y,T(x,y) \ 1) * (y \ z) = ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z. ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x,y) \ 1) * (y \ z). ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x \ 1,y)) * (y \ z). ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y / (T(x,y) \ 1),x \ 1) * (y \ z). (x * (y / x)) * z = K(x,x \ y) * (y * z). K(x,x \ y) * (y * z) = (x * (y / x)) * z. (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). (x / y) * K(z,y) = K(z,T(y,x)) * (x / y). K(x,T(y,z)) * (z / y) = (z / y) * K(x,y). x != (y / z) * K(u,z) | y / T(z,u) = x. x / T(y,z) = K(z,T(y,x)) * (x / y). K(x,T(y,z)) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). (x \ R(x,y,z)) * T(K(u,x),w) != v5 | T(x,T(u,w)) \ R(x,y,z) = v5. T(x,T(y,z)) \ R(x,y,x) = K(y * x,x) * K(y,K(x,z)). K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). 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). T(x,K(y,z)) / y = T(x / y,K(y,z)). T(x,K(y \ z,y)) / (z / y) = T(x / (z / y),K(z / y,y)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). x != y \ R(y,z,L(y,u,w)) | a(y,z,L(y,u,w)) = x. a(x,y,L(x,z,u)) = a(x,y * K(L(x,z,u),y),L(x,z,u)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). a(x,x \ y,L(T(x,x \ y),z,u)) != w | (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)) = w. (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) != v5 | K(u,L(x,y,z)) * K(L(x,y,z),w) = v5. K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). T((x * y) / x,z) = K(x,y) * T(y,T(z,x)). K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z \ 1) = T(x,T((u * z) \ u,y)). T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). 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). x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x. 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)). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). 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,K(y,z)) = K(x * y,K(y,z)). K(x * y,K(y,z)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(z,K(x,y)). K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. K(x * y,T(y,z)) = K(x,T(y,z)) * a(y,x,y). K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). T(x,y) * K(z,T(x,u)) != w | K(z,T(x,u)) * T(x,y) = w. 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). K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. K(x,K(y * z,L(u,z,y))) != w | K(x,K(y * z,y * (z * u))) = w. K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. 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 != 1 * y | y = x. 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,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,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). 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,K(y,z)) = K(x,K(z,R(y,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)). K(x,K(y,z * (u \ 1))) = 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 * (1 / u))) = K(x,K(y,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,y) / z) * K(x,K(y,1 / z)) != u | T(K(x,y),1 / z) / z = u. T(K(x,y),1 / z) / z = T(K(x,y) / z,K(x,y)). 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). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. K(x,L(T(T(y,z),u),w,v5)) = K(x,L(T((u * y) / u,z),w,v5)). K(x,L(T((y * z) / y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). K(x,x \ ((y \ 1) \ (x * z))) != u | K(x,z / T(y \ 1,y * (x * z))) = u. K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). 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(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)). 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)). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. L(T(x,L(x,y,z) \ u),y,z) = T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). L(T(x,x \ y),z,u) = L(T(x,L(x,z,u) \ y),z,u). L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). (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(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(L(y,z,u),L(y,z,u) \ x,L(y,z,u)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. 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). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z,u)) = K(L(x,y * (x \ z),u),y). K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. x != R(y,z,y) | T(y * K(z * y,y),z) = x. T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). x * y != (x / z) * R(z,u,z) | a(z,u,z) = y. a(x,y,x) = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = a(x,y,x). K(x,y) * a(y,x,y) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K(y,z) * a(z,y,z) | K(z * y,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((L(x,y,z) \ u) * L(x,y,z),x) != w | K(u,x) = w. K(x,y) = K(y * (L(y,z,u) \ x),y). K(x * (L(x,y,z) \ u),x) = K(u,x). x != K(y * (z \ 1),y) | K(z \ y,y) = x. K(x \ y,y) = K(x \ L(y,z,u),y). K(x \ L(y,z,u),y) = K(x \ y,y). K((x \ y) \ L(z,u,w),z) != v5 | K(y \ (x * L(z,u,w)),z) = v5. K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. 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),u) = K(x \ (u \ (y * (z * u))),u). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) != w | K(L(u,z * y,x),z) = w. K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). K(x,x \ y) = K(x,L(x \ y,y,z)). K(x,L(x \ y,y,z)) = K(x,x \ y). L(K(x,y),z,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K((x * y) / (x * (z \ y)),u) = K(z,L(T(T(u,y),x * y),y,x)). K(x,L(T(T(y,z),u * z),z,u)) = K((u * z) / (u * (x \ z)),y). K(L(x,y,z),u) = K(x,L(u,y * x,z)). K(x,L(y,z * x,u)) = K(L(x,z,u),y). K(x,K(y,L(z,u,w))) = K(x,L(K(y,z),u,w)). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). 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))). K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,x \ z,x)). K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). K(x,L(y,z,u)) = K(x,L(y,z * y,u)). K(x,L(y,z * y,u)) = K(x,L(y,z,u)). K(x,y) = K(x,L(y,y,z)). K(x,L(y,y,z)) = K(x,y). x != K(y,z) | K(z,y) \ 1 = x. K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). L(x,K(y,z),z * y) != u | x = u. K(x,y) = K(x,L(y,K(z,u),u * z)). K(x,L(y,K(z,u),u * z)) = K(x,y). L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. K(x,L(y,z,u) \ 1) = K(x,L(y \ 1,z,u)). L(K(x,T(y,z)),y,u) != w | K(x,T(y,z)) = w. K(x,T(y,z)) = K(x,L(T(y,z),y,u)). K(x,L(T(y,z),y,u)) = K(x,T(y,z)). L(K(x,1 / y),y,z) != u | K(x,1 / y) = u. K(x,1 / y) = K(x,L(1 / y,y,z)). K(x,L(1 / y,y,z)) = K(x,1 / y). L(K(x,y),z * x,u / (z * T(x,y))) != w | ((u / ((z * x) * K(x,y))) * (z * x)) \ u = w. ((x / ((y * z) * K(z,u))) * (y * z)) \ x = K(z,L(u,y * z,x / (y * T(z,u)))). K(x,L(y,z * x,u / (z * T(x,y)))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. K(x \ (y * z),u) = K((y \ x) \ z,L(u,z,y)). K((x \ y) \ z,L(u,z,x)) = K(y \ (x * z),u). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). x * K(y,L(z,u,x / u)) = (x / u) * (u * K(y,z)). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). x * L(K(x,y),z,u) = T(x,L(y,z,u)). L(K(x,y \ z),u,w) = K(x,L((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). K(x,L(y,y,z)) != u | K(x,y) = u. K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). K(x,L(y,y * z,u)) != w | K(x,L(y,z,u)) = w. (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * (T(x,y) * a(z,u,K(w,v5))). x * a(y,z,K(u,L(w,T(u,v5),v5))) = x * a(y,z,K(u,w)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. a(x,y,K(z,u)) = a(x,y * u,K(z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). x * (y * a(z,u,K(w,v5))) != (x * y) * v6 | a(z,u,K(w,L(v5,y,x))) = v6. (x * y) * z != x * (y * a(u,w,K(v5,v6))) | a(u,w,K(v5,L(v6,y,x))) = z. (x * y) * a(z,u,K(x,w)) = x * (y * a(z,u,K(x,w))). a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. K(x,y) * a(z,u,K(y,x)) != w | w = K(x,L(y,u,z)). K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. a(x,y * z,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. K(x,y) * z != a(u,w,K(x,y)) | K(y,L(x,w,u)) = z. K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). K(x,y) * z != a(u,w,K(x,y)) | L(K(y,x),w,u) = z. L(K(x,y),z,u) = K(L(x,z,u),y). K((x * y) / (x * z),u) = K(z \ y,L(T(u,x * z),z,x)). K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). K(x,L(y,z,u)) \ 1 = K(y,L(x,z,u)). x != K(y,L(z,u,w)) | K(y,L(z,u * K(z,v5),w)) = x. K(x,L(y,z * K(y,u),w)) = K(L(x,z,w),y). K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. K(x,L(y,z,u)) = K(x,L(y,x \ z,u)). K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,y,x)). K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). K(x,L(y * z,z,y)) * (y * (z * x)) = L(x,z,y) * (y * z). (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. K(x \ y,L(T(z,u * x),x,u)) != w | K((u * y) / (u * x),z) = w. K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),u) = (z * (y * K(u,x))) \ (z * y). (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). K(L(x,y,z),T(u,y)) = K(x,(z * (u \ y)) \ (z * y)). K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,u)). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. K(L(x,y,z) \ u,x) = K(x \ u,x). K(x / L(y,z,u),y) = K(y \ x,y). (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). K(x,(y * z) \ u) * a(y,z,K(x,z \ (y \ u))) = K(x,z \ (y \ u)). K(x,(y \ (z \ u)) \ 1) = K(x \ 1,(z * y) \ u) * a(z,y,K(x \ 1,y \ (z \ u))). K(x \ 1,(y * z) \ u) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). x * (y * K(z,u)) != (x * y) * w | K(z,L(u,y,x)) = w. (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. (L(x,y,z) \ x) * K(u,L(w,L(x,y,z) \ 1,x)) = x * ((L(x,y,z) \ 1) * K(u,w)). x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x * K(y,z))) = (x * K(y,z)) * ((y \ 1) * K(u,w)). (x * (y * K(z,u))) * K(w,L(v5,K(z,L(u,y,x)),x * y)) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). x * K(y,L(z,u,w)) != v5 | K(y,L(T(z,x),u,w)) * x = v5. K(x,L(T(y,z),u,u \ z)) * z = (z / u) * (u * K(x,y)). x * K(y,L(z,u / K(y,z),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. (x / y) * (y * K(x,z)) != u | T(x,L(z,y,y \ x)) = u. ((x / y) * (y * K(z,u))) \ x = K(L(u,y,y \ x),z). x * K(y,L(z,u * K(z,y),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. x * K(y,L(z,u * K(z,y),(u * K(z,y)) \ x)) = (x / (u / K(y,z))) * u. x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z / K(y,u))) * z. x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z * K(u,y))) * z. x * K(y,L(z,u,(u * K(z,y)) \ x)) = (x / (u * K(z,y))) * u. ((x * y) * K(z,u)) * K(u,L(z,y,(y * K(z,u)) \ ((x * y) * K(z,u)))) = R(x,y,K(z,u)) * y. ((x * y) * K(z,u)) * K(u,L(z,y,R(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. K(x \ y,L(z \ 1,u,w)) != v5 | K(y \ x,L(z,u,w)) = v5. (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). (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(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K(x,L(y,z,u) \ 1) != w | K(x,L(y \ 1,z,u)) = w. K(x,L(y \ 1,z,u) \ 1) != w | K(x,L(y,z,u)) = w. K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. K(x,L(R(y,z,u),z * u,w)) = K(x,L(R(y,z,u),(y * z) * u,w)). K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(R(y,z,u),z * u,w)). K(x,L(y,x \ z,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) != w | K(x,L(y,x * z,u)) = w. K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z) \ 1,x)) = K(((L(x,y,z) \ 1) * x) \ u,w). K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). K(x,L(y,z \ u,z)) = K(x,L(y,u / z,z)). K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). T(x,L(y,z,u)) * K(y,w) != v5 | T(x * K(y,w),L(y,z,u)) = v5. T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. x != K((y * z) / (y * (u \ z)),w) | K(u,(y * z) / (y * (w \ z))) = x. K(x,(y * z) / (y * (u \ z))) = K(x,L(T(T(u,z),y * z),z,y)). K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * z) / (u * (y \ z))). K(x,L(T(T(y,z),u * z),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. K(x,(y * (z * u)) / (y * u)) = K(x,(y * u) / (y * (z \ u))). K(x,R(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(x,R(y,z \ 1,u \ 1)). K(x,R(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,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(z,u \ 1,u))) = K(x,K(y,z)). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). x \ ((x * y) * (z \ T(z * L(y \ 1,y,x),K(u,w)))) = L(K(u,K(w,z * L(y \ 1,y,x))),(x * y) \ x,x * y). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). x * K(y,x \ (z * u)) = z * ((z \ x) * K(y,(z \ x) \ u)). x * ((x \ y) * K(z,(x \ y) \ u)) = y * K(z,y \ (x * u)). x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). x != K(y,L(z,u,w)) * K(L(z,u,w),z \ y) | a(z,z \ y,L(z,u,w)) = x. a(x,x \ y,L(x,z,u)) = a(L(x,z,u),L(x,z,u) \ y,L(x,z,u)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). 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 \ 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)). 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. L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | 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)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). K(x,L(y,z,u)) = K(x,L(y,x * z,u)). K(x,L(y,x * z,u)) = K(x,L(y,z,u)). K(x,L(y,T(z,x),u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,T(z,x),u)). (K(x,L(y,z,u)) * w) \ w = K(L(y,x \ z,u),T(x,w)). K(L(x,y \ z,u),T(y,w)) = (K(y,L(x,z,u)) * w) \ w. x != K(y,L(z,T(u,y),w)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. K(x \ ((y \ 1) * z),L(u,x,y)) != w | K((y * x) \ L(z,y \ 1,y),u) = w. K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. T((x * y) \ 1,z) \ 1 = x * (y * K(z,y \ (x \ 1))). x * (y * K(z,y \ (x \ 1))) = T((x * y) \ 1,z) \ 1. (x * y) * K(z,u) = x * (y * K(z,y \ (x \ ((x * y) * u)))). x * (y * K(z,y \ (x \ ((x * y) * u)))) = (x * y) * K(z,u). x \ ((x * y) * K(z,u)) = y * K(z,y \ (x \ ((x * y) * u))). x * K(y,x \ (z \ ((z * x) * u))) = z \ ((z * x) * K(y,u)). K(((x / y) \ 1) \ z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). K(x,((y * z) \ u) \ 1) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). K(x,y \ (z * u)) * a(z,u,K(x \ 1,u \ (z \ y))) = K(x,(u \ (z \ y)) \ 1). K(x,y \ (z * u)) * a(z,u,K(x,(u \ (z \ y)) \ 1)) = K(x,(u \ (z \ y)) \ 1). K(x,y \ (z * u)) * a(z,u,K(x,(z \ y) \ u)) = K(x,(u \ (z \ y)) \ 1). x != (K(y,z) * u) \ u | K(z,T(y,u)) = x. K(L(x,y,z),T(u,w)) = K(L(x,u \ y,z),T(u,w)). K(L(x,y \ z,u),T(y,w)) = K(L(x,z,u),T(y,w)). x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x. K(x,L(T(y,z),u,w)) = K(L(x,y \ u,w),T(y,z)). K(L(x,y \ z,u),T(y,w)) = K(x,L(T(y,w),z,u)). K(x,L(T(y,z),y \ u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,z),u,w)) != v5 | K(x,L(T(y,z),y \ u,w)) = v5. x * (L(x \ 1,y \ 1,y) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. x * (L(x \ 1,y,y \ 1) * K(z,a(y \ 1,y,x \ 1))) = T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1. x * (L(x \ 1,y,y \ 1) * 1) = T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1. T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * (L(x \ 1,y,y \ 1) * 1). T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * L(x \ 1,y,y \ 1). T(R(x,y \ 1,y) * (x \ 1),z) \ 1 = x * L(x \ 1,y,y \ 1). T(x \ R(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). T(a(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). a(x,y \ 1,y) \ 1 = x * L(x \ 1,y,y \ 1). x * L(x \ 1,y,y \ 1) = a(x,y \ 1,y) \ 1. (x * y) * L((x * y) \ z,y,y \ 1) != u | x * (y * ((y \ 1) * (x \ z))) = u. x * (y * ((y \ 1) * (x \ 1))) = a(x * y,y \ 1,y) \ 1. a(x * y,y \ 1,y) \ 1 = x * (y * ((y \ 1) * (x \ 1))). ((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)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). K(x,K(y,z)) = K(x,K(x / z,y)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) = K(x,K(y,z * x)). K(x,K(y,z * x)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,y * x)). K(x,K(y,z * x)) = K(x,K(z,y)). K(x,K(y,x / z)) = K(x,K(y,z)). K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) = K(x,K(y,z / x)). K(x,K(y,z / x)) = K(x,K(y,z)). K(x,K(y * x,z)) = K(x,K(y,z)). x * K(x,K(y,z)) = T(x,K(z,y * x)). K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). x != y \ 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(T(x,y),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,T(x,w) \ y,R(x,z,u)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. 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 \ 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). x / T(y,K(z,u)) != w | (x / y) * K(y,K(z,u)) = w. ((x * (y * K(z,u))) / y) * K(y,K(z,u)) = (x * (K(z,u) * y)) / y. (x * ((T(y,z) * K(u,y)) * u)) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). 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 / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(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,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). K(x * y,L(y,z,u)) * K(L(y,z,u),x) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). x != K(y,((z * u) \ z) \ 1) | K(y,u) = x. K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,((y * z) \ y) \ 1). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). K(x * y,K(z,T(u,x))) * ((x * K(z,u)) * y) = ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y). ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(x * y,K(z,T(u,x))) * ((x * K(z,u)) * y). ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(x * y,T(u,x))) * ((x * K(z,u)) * y). K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). L(K(x,T(y,z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(y,x) \ z) * u). L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(x,y) * z) * u). 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(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. 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)). x != L(y,T(z,K(y,u)),y) | L(y,z,y) = x. L(x,y,x) = L(x,T(y,T(x,z)),x). L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). x != L(y,T(y,z) \ u,y) | L(y,y \ u,y) = x. L(x,x \ y,x) = L(x,y / T(x,z),x). 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),x \ T(z,x),x) = L(T(x,y),x \ z,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),z / T(x,u),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). 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). (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. (x * y) * R((x * y) \ (z * y),u,w) != v5 | (x * R(x \ z,u,w)) * y = v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. (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). K(x,y) = R(K(x,y),R(T(x,z),u,w),v5). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y / 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). 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)). K(x,R(T(x,y),z,u) * w) != v5 | K(x,R(x,z,u) * w) = v5. K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(T(x,w),y,z)). 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,R(T(x,y),z,u) / w) = K(x,w \ R(x,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 / (y * z)) = T(x,y \ (z \ y)). a(x * y,y \ 1,y) \ 1 = x * (y * ((x * y) \ 1)). x != (y \ R(y,z,y)) \ u | R(y,z,y) \ (y * u) = x. R(x,y,x) \ (x * z) = z / (x \ R(x,y,x)). x / (y \ R(y,z,y)) = R(y,z,y) \ (y * x). K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). (x * K(((y / z) * u) / y,w)) \ x = K(L(T(w,y),z,z \ y),z \ u). K(L(T(x,y),z,z \ y),z \ u) = (w * K(((y / z) * u) / y,x)) \ w. K(T(x,y) \ z,L(T(u,w),T(x,y),T(x,y) \ w)) = K((((w / x) * K(y,x)) * z) / w,u). K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K((((T(u,w) \ 1) / x) * y) / (T(u,w) \ 1),z). K(x,((y / z) * u) / y) = K(L(T(x,y),z,z \ y),z \ u). K(L(T(x,y),z,z \ y),z \ u) = K(x,((y / z) * u) / y). K(T(x,y),L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). K(x,T(L(y \ z,y,y \ u),u)) = K(x,((u / y) * z) / u). K(x,L(T(y \ z,u),y,y \ u)) = K(x,((u / y) * z) / u). K(x,L(T(y \ z,u),y,y \ u) \ 1) = K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u). K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(y \ z,u),y,y \ u) \ 1). K(x,L(T(T(y,z),u),z,z \ u)) = K(x,((u / z) * (y * z)) / u). K(x,L(T(y \ T(z,y),u),T(y,z),T(y,z) \ u)) = K(x,((u / T(y,z)) * z) / u). K(x,L(T(T(y \ z,y),u),T(y,y \ z),T(y,y \ z) \ u)) = K(x,((u / T(y,y \ z)) * z) / u). K(x,L(T((y * z) \ u,z),y * z,(y * z) \ z)) = K(x,(R(y \ 1,y,z) * u) / z). K(x,L(T(y \ z,u),y,y \ u)) != w | K(x,((u / y) * z) / u) = w. K(x,((y / (z * y)) * u) / y) = K(x,(R(z \ 1,z,y) * u) / y). K(x,(R(y \ 1,y,z) * u) / z) = K(x,((z / (y * z)) * u) / z). K(x * y,(x * y) \ x) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. K(x * y,y \ 1) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. K(x * y,y \ 1) * (x * z) = (x * K(x * y,y \ 1)) * z. (x * K(x * y,y \ 1)) * z = K(x * y,y \ 1) * (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 / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y \ z,u,w)) = K(x,L((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. K(x,T(L((y \ z) \ 1,u,w),v5)) = K((x \ v5) \ v5,L(z \ y,u,w)). K((x \ y) \ y,L(z \ u,w,v5)) = K(x,T(L((u \ z) \ 1,w,v5),y)). K((x \ y) \ y,L(z \ u,w,v5)) = K(x,L(T((u \ z) \ 1,y),w,v5)). K(x,T(L(y \ z,u,w),v5)) = K(x,L(T((z \ y) \ 1,v5),u,w)). K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,T(L(z \ y,w,v5),u)). K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,L(T(z \ y,u),w,v5)). K(x,L(T(y,z \ 1),u,w)) = K(x,L(T(y,z),u,w)). K(x \ y,L(T(z,u),x,x \ u)) != w | K(((u / x) * y) / u,z) = w. K((((x \ 1) / y) * z) / (x \ 1),u) = K(y \ z,L(T(u,x),y,y \ (x \ 1))). K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) / (u \ 1),z). K(x,y * (z * (y \ 1))) = K(x,L(T(z,y),y \ 1,y)). K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (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,(((y * K(z,x)) * u) * w) / (u * w)). K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). 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(y,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y \ x,K(z,y)). (x \ y) * K(z,x) = T(y / T(x,z),x). T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). (x \ y) * K(z,x \ 1) = T(y / T(x,z \ 1),x). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). 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(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. 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. x \ T(y,K(z,u)) = (x \ y) * K(y,K(z,u)). (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). K(x \ K(y,x \ 1),L(z,u,w)) = K(L(x \ 1,u,w),T(z,y)). R((x / (y * z)) / K(u,K(w,y)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). R((x / (y * z)) / K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). R((x / (y * z)) * K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). K(x,L(T((y * z) / y,u),T(K(z,y) * w,z),v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). 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))). R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). K(x,R(y,T(y,z) \ u,w)) != v5 | R(K(x,y),K(z,y) * u,w) = v5. R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). 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 * y != z * T(z \ u,K(w,v5)) | (u * K(w,K(v5,z \ u))) / y = x. (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | x \ (z \ T(u,w)) = y. (x \ y) \ (x \ T(y,K(z,u))) = K(z,K(u,(x \ 1) \ (x \ y))). K(x,K(y,(z \ 1) \ (z \ u))) = (z \ u) \ (z \ T(u,K(x,y))). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (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))). T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). (x * y) \ (y * (x * z)) != u | L(K(y,x) * z,x,y) = u. L(K(x,y) * z,y,x) = K(y,x) \ L(z,y,x). K(x,y) \ L(z,x,y) = L(K(y,x) * z,x,y). K(x,y) * L(z,y,x) = L(K(x,y) * z,y,x). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). x != L(K(y,T(z,u)),K(z,w),v5) | K(y,T(z,u)) = x. K(x,T(x * y,z)) = (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). x != K(y,T(y * K(z,u),z)) | K(y,y * K(z,u)) = x. K(x,x * K(y,z)) = K(z,T(x / y,x) \ x) * K(y,z). K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). K(x,T(y / z,y) \ y) * K(z,x) != u | K(y * K(x,z),y) = u. K(x * K(y,z),x) = K(x,x * K(z,y)). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). 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)). x != K(R(y,z,u),T(w,y \ v5)) | K(R(y,z,u),T(w,v5)) = x. K(R(x,y,z),T(u,w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). 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). 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)). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),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). 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,T(y,z) \ 1) = K(x \ K(z,x \ 1),y). K(x \ K(y,x \ 1),z) = K(x,T(z,y) \ 1). x != K(y,T(z,u) \ 1) | K(y,T(z \ 1,u)) = x. K(x,T(y \ 1,z)) = K(x \ K(z,x \ 1),y). K(x \ K(y,x \ 1),z) = K(x,T(z \ 1,y)). K(x \ K(y,x \ 1),L(z,u,w)) != v5 | K(L(x \ 1,u,w),T(z,y)) = v5. K(L(x \ 1,y,z),T(u,w)) = K(x,T(L(u,y,z) \ 1,w)). (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,w \ 1,w))). (x / y) \ z != y * K(x,K(u,w)) | T(x,K(u,w)) = z. T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). T(x,K(y,z * u)) = T(x,K(y,(z \ 1) \ u)). T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). T(x,K(y,z \ (u \ 1))) = T(x,K(y,u * z)). 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(x,T(y,(z * (u \ 1)) \ 1)) = T(T(x,y),K(y,z / u)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,z / 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)). x != K(y,(z \ 1) / u) | K(y,z \ (u \ 1)) = x. K(x,y \ (z \ 1)) = K(x,z \ (y \ 1)) * K(x,K(z,y)). K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,z \ (y \ 1)). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). 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). T(x,K(y,z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,z)). x != T(y,K(z,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,z / u)) != w | T(x,K(y,z * (u \ 1))) = w. T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). 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). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). x != (y * z) \ (y * (u * z)) | L(T(u,z),z,y) = x. L(T(R(x,y,z),u),u,x) = R(T(x,R(x,y,z) * u),y,z). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | R(T(y,y * z),u,w) = x. R(T(x,x * y),z,u) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | K(z * y,R(y,u,w)) = x. 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)). 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)). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). 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). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,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. ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((x * y) * z) \ ((R(x,u,x) * y) * z) != w | R(a(x,u,x),x * y,z) = w. R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). 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 / x,u) = R(K(x,y),x \ z,u). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. x != y \ R(y,z,y) | K(y,z) * K(y * z,y) = x. K(x,y) * K(x * y,x) = T(x \ R(x,y,x),z). T(x \ R(x,y,x),z) = K(x,y) * K(x * y,x). a(x,y,x) != z | x \ R(x,y,x) = z. (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (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) * 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). 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 / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). K(R(x / y,y,z),T(u,z * y)) != w | K((z * y) \ (x * T(z,y)),u) = w. (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 * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | 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). K(x \ y,L((z * x) \ 1,x,z)) != u | K((z * y) / (z * x),(z * x) \ 1) = u. K(x,(y * z) \ z) = K(x,z / (z * y)). K(x,y / (y * z)) = K(x,(z * y) \ y). K((x * K(y,z)) \ u,T(y,w)) != v5 | K(x \ u,T(y,w)) = v5. K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K(R(R(x,K(y,z),u),w,v5),z) != v6 | K(R(x,w,v5),z) = v6. K(R(x,K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) != v5 | K(R(K(y,z) * x,u,w),z) = v5. K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). K(R(K(x,y) * z,u,w),y) != v5 | R(K(z,y),u * (K(x,y) * z),w) = v5. R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). R(K(x,y),z * (K(u,y) * w),v5) != v6 | R(K(x,y),z * w,v5) = v6. R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. 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). 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,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. 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)). ((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,((x \ y) * z) \ 1) = K(x,(y * z) \ x). K(x,((x \ (y \ x)) * z) \ 1) != u | K(x,((y \ 1) * z) \ 1) = u. K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). 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). 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)). K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. K(x \ (y * z),T(z,u)) != w | K((y \ x) \ z,T(z,u)) = w. K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). K((x / y) \ z,z) = K((y \ x) \ z,T(z,y)). K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). K(x \ y,T(y,z)) = K(((z * x) / z) \ y,y). K(((x * y) / x) \ z,z) = K(y \ z,T(z,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)). K(x,L(y,T(z,x),u)) != w | K(x,L(y,z,u)) = w. 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)). 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))). x != y * (z * K(u,T(w,z))) | y * (K(u,w) * z) = x. x * (K(y * x,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 * (K(y * x,z) * y). (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. x \ K(y,K(z,u)) = (K(y,K(z,u)) * x) \ 1. (K(x,K(y,z)) * u) \ 1 = u \ K(x,K(y,z)). 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)). (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)). x != T(L(y,z,u),T(w,y)) | L(T(y,w),z,u) = x. L(T(K(x,y),z * u),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),x * y),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)). K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. T(x,x \ y) * K(y,z) = K(x,T(x \ y,z)) * (K(y,z) * x). K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). x * ((y * ((x * y) \ 1)) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. T((x \ y) * K(z,y / x),z) = (x \ y) * K(z,K(x,y)). T((x \ y) * K(z,y / x),z) = (x \ y) * K(x,K(y,z)). x * (y \ T(y * (x \ 1),K(z,u))) = K(z,K(u,x * (y \ K(z,u)))). K(x,K(y,z * (u \ K(x,y)))) = z * (u \ T(u * (z \ 1),K(x,y))). x != y * (z \ T(z * (y \ 1),u)) | K((y * (z \ 1)) \ 1,u) = x. K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(z,u)))). K(x,K(y,z * (u \ 1))) = K(x,K(y,z * (u \ K(x,y)))). K(x,K(y,z * (u \ K(x,y)))) = K(x,K(y,z * (u \ 1))). K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,(z * u) * (u \ 1))). K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,R(z,u,u \ 1))). K(x,K(y,R(z,u,w))) != v5 | K(y,K(z,R(x,u,w))) = v5. K(x,K(y,R(z,u,u \ K(z,x)))) = K(z,K(x,R(y,u,u \ 1))). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,R(y,u,u \ K(y,x)))). K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(z,R(y,u,u \ 1))). x != K(y,K(z,R(u,w,w \ 1))) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y,R(z,u,u \ K(z,x)))). K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(y,z)). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). x != K(y,T(T(z,u),u * y)) | K(L(y,w,y),z) = x. 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). K(T(x,y) / (x / y),z) = K(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(z \ (y \ x),y)) = T(x / y,x / (y * z)). K(K(x,y) * z,z \ u) = K(z * K(x,y),(z / u) \ 1). K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). K(x * 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)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). x * K(K(y,z) * x,T(x,K(y,z))) = R(T(x,K(y,z)),K(y,z),T(x,K(y,z))). R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,T(x,K(y,z))). R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,x). K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). K(x / y,z \ (x / y)) != u | K(x / y,z \ (y \ x)) = u. K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). K(x / y,z \ (y \ x)) != u | K(y \ x,y \ (z \ x)) = u. K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ ((x \ y) \ z),L(x,u,w)) != v5 | K(y \ z,L(x,u,w)) = v5. K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). 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 \ 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). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. K(x / (y * z),y) = K(y \ (x / z),y). T(K(1 / T(x,y),z),y) = K(1 / x,z). K(1 / x,T(y,z)) = K(1 / T(x,z),y). K(1 / T(x,y),z) = K(1 / x,T(z,y)). x != y / (K(z,u) * y) | K(u,z) = 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)). (x * (T(y,z) * T(u,y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). (x * (K(y,z) * (u * y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). (x * (K(y,z) * (u * y))) / T(y,T(z,u)) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). (x * (T(y,z) * T(z,u))) / (T(z,u) * K(y,z)) = (x * (K(z,u) * (y * z))) / T(z,T(u,y)). K(x / y,T(z,u)) = K(u / (u * (y / x)),z). K(x / (x * (y / z)),u) = K(z / y,T(u,x)). x != K(y / z,T(u,y)) | K(z \ y,u) = x. K(x \ y,z) = K(y / (y * (x / y)),z). K(x / (x * (y / x)),z) = K(y \ x,z). K(x / (x * y),z) = K((y * x) \ x,z). x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). (x * ((y * x) \ y)) \ T(x,z) != u | T(1 / ((y * x) \ y),z) = u. T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,T((((y * z) \ y) \ 1) \ 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) \ 1) \ x,u)). K(x,L(y,z,z \ u)) = ((u / z) * (z * K(y,x))) \ u. ((x / y) * (y * K(z,u))) \ x = K(u,L(z,y,y \ x)). K(x,T(y,z)) * (u * K(y,x)) = T(K(x,K(y,z)) * u,K(x,y)). 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)). x != K(y,z) * T(y * K(z,y),u) | T(y,T(u,z)) = x. T(x,T(y \ 1,z)) = T(x,T((u * y) \ u,z)). T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). T(x,T(y \ z,u)) = T(x,T((z \ y) \ 1,u)). T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). x * K((y \ x) / z,y) = K(z \ (y \ x),y) * x. K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). x * y != K(z \ (u \ x),u) * x | K(x / (u * z),u) = y. K(x / (y * z),y) = K((y \ x) / z,y). K((x \ y) / z,x) = K(y / (x * z),x). x != K(y / (z * u),z) | K(z \ (y / u),z) = x. K(x \ (y / z),x) = K((x \ y) / z,x). K((x \ y) / z,x) = K(x \ (y / z),x). 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,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 * K(y,L(z,u,w / (u * z))) = x * K(y,((w / (u * z)) * u) \ w). x * K(y,L(z,u,(u * z) \ x)) = (x / (u * z)) * ((u * z) * K(y,z)). (x / (y * z)) * ((y * z) * K(u,z)) = x * K(u,L(z,y,(y * z) \ x)). K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. 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(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)). K(x,K(y * z,y * (z * u))) = 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) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). 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 != T(y,K(z,u) * K(w,z)) | T(y,K(z,w) * K(u,z)) = x. T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). T(T(x,K(y,z)),K(u,R(y,w,v5))) != v6 | T(x,K(y,z) * K(R(u,w,v5),y)) = v6. T(x,K(y,z) * K(R(z,u,w),y)) = 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,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). 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)). 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. K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. K(x,y) * (K(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)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). 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(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. 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). 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). x != a(T(y,z),T(y,z) \ z,u) | (z * L(u,y \ T(z,y),y)) \ (z * u) = x. (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(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. 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)). 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). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). 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. K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). 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. 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(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. 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,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. K(x \ (y * (z \ 1)),z) != u | K(x \ (z \ y),z) = u. K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). 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). T(x,K(y,R(z,u,u \ 1))) != w | T(x,K(z,y)) = w. T(x,K(y,z \ u)) = T(x,K(y,T(u * (z \ 1),z))). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). T(x,K(y,z * (x \ 1))) != u | T(x,K(y,z)) = u. T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,x * y)). T(x,K(y,x * z)) = T(x,K(z,y)). T(T(x,K(y,z)),u) = T(T(x,u),K(z,x * y)). T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). x != T(T(y,K(z,u)),z) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(T(x,y),K(z,x * y)). T(T(x,y),K(z,x * y)) = T(x,T(y,z)). x * y != T(T(z,u),K(w,z * u)) | x \ T(z,T(u,w)) = y. (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). T(x,K(y,z)) = T(x,K(y,x / z)). T(x,K(y,x / z)) = T(x,K(y,z)). K(x,K(y \ z,(u \ 1) \ (u \ z))) = (u \ z) \ (u \ T(z,K(x,y))). T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(y \ x,z)))). T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(z,y \ x)))). T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * ((z \ u) \ T(z \ u,K(z,y \ x))). T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z \ u,K(z,y \ x)). T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z,K(u,y \ x)). T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(y,K(z,x \ 1)). T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(x,K(y,z)). T(x,K(y,z)) = T(x,K(y \ z,(y \ 1) \ (y \ z))). T(x,K(y \ z,(y \ 1) \ (y \ z))) = T(x,K(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)). K(x,1 / T(1 / y,z)) = T(K(x,y),z). x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. x * ((y * (x / y)) \ y) = x / (x / y). T(x,K(y \ z,1 \ (y * (y \ z)))) = T(x,K(y,z)). T(x,K(y \ z,z)) = T(x,K(y,z)). 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,y \ z)) = T(x,K(y,z)). T(x,K(y \ z,z)) != u | T(x * K(z / y,x),y \ z) = u. T(x * K(y / z,x),z \ y) = T(x,K(y,z)). 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)) != u | T(x,K(y,y \ z)) = u. T(x,K(y \ z,y)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x,K(y,z / y)) = T(x,K(y,z)). 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(z,y * z)). T(x,K(y,z * y)) = T(x,K(z,y)). T(x,K(y,z)) / (z / y) = T(x / (z / y),K(z / y,y)). T(x / (y / z),K(y / z,z)) = T(x,K(z,y)) / (y / z). x * y != T(z,K(u,w * u)) | x \ T(z,K(w,u)) = y. (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). (x * y) \ T(z * (x * y),K(x,y)) != u | T(z,y * x) = u. T(x,y * z) = T(x,T(z * y,y)). T(x,T(y * z,z)) = T(x,z * y). T(x,T(y,z)) = T(x,z * (y / z)). T(x,y * (z / y)) = T(x,T(z,y)). T(x,y * z) * y = x * (y * K(x,z * y)). x * (y * K(x,z * y)) = T(x,y * z) * y. T(x,T(y,z) * z) = T(x,T(y * z,y)). T(x,T(y * z,y)) = T(x,T(y,z) * z). x * y != T(x,z) * u | K(x,z) * u = y. K(x,y * z) * y = y * K(x,z * y). K(x,T(y * z,y)) = K(x,z * y). x * y != y * K(z,u) | K(T(z,y),u) = x. K(T(x,y),z * y) = K(x,y * z). x * y != y * K(z,u) | K(z,T(u,y)) = x. K(x,T(y * z,z)) = K(x,z * y). K(x,y) * (y / z) = (y / z) * K(x,z * (y / z)). (x / y) * K(z,y * (x / y)) = K(z,x) * (x / y). K(x,y * z) * y != y * u | K(x,z * y) = u. K(x / y,y * z) = K(y \ x,z * y). K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). 1 / K(x * y,z) = K(T(z,x),y * x). K(T(x,y),z * y) = 1 / K(y * z,x). K(x * y,T(z,y)) = K(y * x,z). K(x * (y \ 1),T(z,y)) = K((y \ 1) * x,z). K(x * y,z) = K(y * x,T(z,y)). K(x * y,T(z,x)) = K(y * x,z). K(x,T(y,z)) != u | K(x,y) * K(z,K(y,x)) = u. K(x * y,z) * K(y,K(z,x * y)) = K(y * x,z). K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). x * K(x * y,z) = K(y * x,z) * x. K(x * y,z) * y = y * K(y * x,z). K(x * y,z) * x = x * K(y * x,z). K(x * y,T(z,x)) != u | K(y * x,z) = u. K(x * T(y,z),T(u,y)) = K(T(y,z) * x,T(u,K(y,z))). K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(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 * y,z) = K(y * x,z) * K(y,K(z,y * x)). K(x * y,z) * K(x,K(z,x * y)) = K(y * x,z). K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. K(((x * y) \ x) * z,T(u,y \ 1)) != w | K(z * ((x * y) \ x),u) = w. K(x * y,T(z,y)) != u | K(y * x,z) = u. K(x * y,z) * K(x,K(y,z)) = K(y * x,z). K(x * y,z) * K(x,K(z,y)) = K(y * x,z). K(x * y,z) != u * K(y,K(x,z)) | K(y * x,z) = u. x * K(y,K(z,u)) != K(z * y,u) | K(y * z,u) = x. K(L(x,y,z) * (z * y),u) * K(L(x,y,z),K(z * y,u)) = K(z * (y * x),u). K(x * y,z) \ 1 = (K(y,K(x,z)) \ 1) * K(z,y * x). (K(x,K(y,z)) \ 1) * K(z,x * y) = K(y * x,z) \ 1. K(x * y,z) * K(y,K(x,z)) = K(y * x,z). K(x * y,z) * K(y,K(z,x)) = K(y * x,z). x != K(y,z) \ 1 | K(z,y) = x. K(x,y * z) = (K(z,K(y,x)) \ 1) * K(x,z * y). (K(x,K(y,z)) \ 1) * K(z,x * y) = K(z,y * x). 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,y * z) * K(x,K(y,z)) = K(x,z * y). K(x,K(y,z)) * K(z,x * y) = K(z,y * x). K(x,K(y,z * u)) * K(x,y * (u \ (z \ 1))) = K(x,(u \ (z \ 1)) * y). K(x,y * z) * K(x,K(z,y)) = K(x,z * y). 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(K(x,y) * z,T(u,x * y)) = K(((y * x) \ z) * (x * y),u). K(((x * y) \ z) * (y * x),u) = K(K(y,x) * z,T(u,y * x)). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). x / K(y,T(x,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = x / K(z,T(x,y)). (1 / x) \ K(y,T(z,x)) = T(y,z) / (x \ y). x != y / K(z,T(y,u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = T(x,T(z,y)). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). T(x,T(y * z,y)) != u | T(x,T(y,z) * z) = u. T(x,T(y,z) * z) = T(x,z * y). x * K(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = x * K(x,z * y). x / T(x,y * z) = K(T(z,y) * y,x). K(T(x,y) * y,z) = z / T(z,y * x). K((T(x,y) * y) \ z,T(u,y * x)) != w | K(z / (T(x,y) * y),u) = w. T(x,T((T(y,z) * z) \ u,z * y)) = T(x,u / (T(y,z) * z)). K((T(x,y) * y) * z,T(u,y * x)) != w | K(z * (T(x,y) * y),u) = w. K(x,T(y,z) * z) = K(x,z * y). T(x,T(y,z) * z) != u | T(x,z * y) = u. K(x,(T(y,z) * z) \ 1) = K(x \ 1,z * y). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,y * x). K(x,(T(y,z * a(u,w,K(v5,v6))) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). K(x,(T(y,z) * z) \ 1) != u | K(x,(z * y) \ 1) = u. T(x,T(y * z,y)) != u | T(x,z * y) = u. K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x \ y,T(x * z,u)) = K(y / x,T(z * x,u)). K(x / y,T(z * y,u)) = K(y \ x,T(y * z,u)). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,(y \ x) * z) = K(x,T(z * (y \ x),y)). K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). K(x,T(y * z,y)) != u | K(x,z * y) = u. (1 / (1 / x)) \ K(y,T(z,x)) = T(y,z) / ((1 / x) \ y). x != T(y,z) / ((1 / u) \ y) | K(y,z) / u = x. K(x,y) / z = (1 / (1 / z)) \ K(x,T(y,z)). (1 / (1 / x)) \ K(y,T(z,x)) = K(y,z) / x. x \ K(y,T(z,x)) = K(y,z) / x. x * (K(y,z) / x) = K(y,T(z,x)). x \ K(y,z) = K(y,T(z,x)) / x. K(x,T(y,z)) / z = z \ K(x,y). x \ K(x * y,z) = K(y * x,z) / x. K(x * y,z) / y = y \ K(y * x,z). (x \ K(y,z)) * x = K(y,T(z,x)). K(x,T(y,z)) / z != u | T(K(x,y) / z,K(x,y)) = u. T(K(x,y) / z,K(x,y)) = z \ K(x,y). K(x,T(y,z)) / z != u | K(x,y) / T(z,K(x,y)) = u. K(x,y) / T(z,K(x,y)) = z \ K(x,y). T(x,x \ K(y,z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,x \ K(z,y)). T(x,x \ K(y,z)) = T(x,K(z,y)). K(((x * y) \ x) * z,T(u,y)) != w | K(z * ((x * y) \ x),u) = w. K(x * ((y \ 1) \ z),u) * K(x,K(u,y * z)) = K(((y \ 1) \ z) * x,u). 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(y * x,z) = u. T(T(x,K(y,z)),y / z) = T(x,z \ y). T(T(x,y / z),K(z,y)) = T(x,z \ y). T(x,y / z) = T(T(x,K(z,y)),z \ y). T(T(x,K(y,z)),y \ z) = T(x,z / y). T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). T((x / y) \ z,K(y,x)) = T(z / (x / y),y \ x). T(x / (y / z),z \ y) = T((y / z) \ x,K(z,y)). K(x \ y,x) * T(z,x \ y) = T(z,y / x) * K(x \ y,x). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). x != K(y \ z,y) * T(u,y \ z) | (z / y) \ (u * (y \ z)) = x. (x / y) \ (z * (y \ x)) = T(z,x / y) * K(y \ x,y). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * 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))). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | 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,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z,u)) = 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 \ (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)). K(T(T(x,y),z) * y,u) != w | K(y * T(x,z),u) = w. 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,T(y,z)) / z != u | u = z \ K(x,y). K(x,T(y,z)) / z != u | z \ K(x,y) = u. (x \ K(y,z)) \ (K(y,T(z,x)) * u) = (K(y,z) / x) \ (K(y,z) * u). K(x,T(y,z)) = K(x,z * (y / z)). K(x,y * (z / y)) = K(x,T(z,y)). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),(y * x) \ 1). K(x,y / (T(z,y) \ 1)) = K(x,T(y / (z \ 1),z)). K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). K(x,T(y / (z \ 1),z)) != u | K(x,(z \ 1) \ y) = u. K(x,(y \ 1) \ z) = K(x,z / (T(y,z) \ 1)). K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). 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(x / (y / z),K(z \ y,z)) = T(x,K(z,y)) / (y / z). T(x,K(y \ z,y)) != u | T(x,K(y,z)) = u. T(x / (y / z),K(z,y)) = T(x,K(z,y)) / (y / z). T(x,K(y,z)) / (z / y) = T(x / (z / y),K(y,z)). x != a(y,z,K(y,u)) | 1 = x. 1 = a(x,y,K(x * z,z)). a(x,y,K(x * z,z)) = 1. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). L(K(x * y,y),z,x) = K(x * y,y). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). 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) * (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. 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. x != K(y,z) * y | T(y,z) = 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)). x * K(y * z,y) = T(K(y * z,y) * x,K(y,z)). T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). x != T(y,K(z,T(y,u))) | y = x. x = T(x,K(y,y * T(x,z))). T(x,K(y,y * T(x,z))) = x. K(x * (y / x),L(z \ 1,u,w)) = K(y,T(L(z,u,w) \ 1,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). K((x * (y / x)) * z,u) * K(y,T(K(z,u),x)) = K(z * (x * (y / x)),u). K(x * (y / x),z) != u | K(y,T(z,x)) = u. K(x,T(L(y \ 1,z,u),w)) = K(x,T(L(y,z,u) \ 1,w)). K(x,T(L(y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u),w)). K(x,T(L(y,z,u) \ 1,w)) = K(x,L(T(y \ 1,w),z,u)). K(x,T(L(y,z,u) \ 1,w)) != v5 | K(L(x \ 1,z,u),T(y,w)) = v5. K(L(x \ 1,y,z),T(u,w)) = K(x,L(T(u \ 1,w),y,z)). K(x \ 1,L(T(y,z),u,w)) = K(x,L(T(y \ 1,z),u,w)). K(x,L(T(y,z),u,w) \ 1) = K(x,L(T(y \ 1,z),u,w)). K(x,L(T(y \ z,u),y,y \ u) \ 1) != w | K(x \ K(L(T(y \ z,u),y,y \ u),v5),((u / y) * z) / u) = w. K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T((y \ z) \ 1,u),y,y \ u)). x != K(y,L(T((z \ u) \ 1,w),v5,v6)) | K(y,L(T(u \ z,w),v5,v6)) = x. K(x,L(T(y \ z,u),z,z \ u)) = K(x \ K(L(T(z \ y,u),z,z \ u),w),((u / z) * y) / u). K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(z \ y,u),y,y \ u)). K(x,(((y / z) * u) / y) \ 1) = K(x,L(T(u \ z,y),z,z \ y)). K(x,L(T(y \ z,u),z,z \ u)) = K(x,(((u / z) * y) / u) \ 1). K(x,y / ((y / z) * u)) = K(x,L(T(u \ z,y),z,z \ y)). K(x,L(T(y \ z,u),z,z \ u)) = K(x,u / ((u / z) * y)). K(x,L(T(y \ z,u),(y \ z) \ z,z \ u)) = K(x,u / ((u / z) * y)). 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). 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 \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). T(T(x,K(y,z)),z * y) = T(x,T(z * 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,z)),z * y) != u | T(x,y * z) = u. T(T(x,K(y,z)),(z \ 1) * y) = T(x,y * (z \ 1)). T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. 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 \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. K(L(x,y,z) * (z * y),u) * K(u,K(z * y,L(x,y,z))) = K(z * (y * x),u). K(x * T(x \ y,z),u) * K(x,K(T(y / x,z),u)) = K(x * T(y / x,z),u). K((x * y) * T(z,y),u) * K(z * y,K(R(x,y,z),u)) = K((z * y) * R(x,y,z),u). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z,z \ u)) != w | a(x,y,K(u,z \ u)) = w. a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u \ z,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,u)) != w | a(x,y,K(z \ 1,u)) = w. a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). 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). 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(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 \ 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 * 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)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). x != K(K(y,z),u) | K(z,K(u,y)) = x. K(x,K(y,a(z,x,T(u,x)))) = K((z * (u * x)) \ ((z * x) * u),K(x,y)). 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 * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). x != K(y,(z * y) / u) | K(y,z / (y \ u)) = x. 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) * K(z,x) = (u * (K(x,z) * K(y,x))) \ u. (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). T((K(x,y) * K(z,x)) \ 1,u) = (((K(x,z) * K(y,x)) * u) \ u) \ 1. (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). 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 * x,w))) = K(z,K(y,L(x,u,w))). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y \ (z \ u),L(z,w,v5))) != v6 | K(x,K(y \ u,L(z,w,v5))) = v6. 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,L(u,w,v5))) | K(y,L(K(z,u),w,v5)) = x. K(x,L(K(y,z),u,w)) = K(x,L(K(z,y),u,w)). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). K(x,y) * (K(z,x) * (K(x,y) \ u)) = T(K(z,x) * T(u,K(x,y)),K(x,y)). T(x,K(y,z)) != K(u,w) * (K(v5,u) * (K(u,w) \ v6)) | T(K(v5,u) * v6,K(y,z)) = x. 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 * K(y,u),K(y,z)) = K(y,u). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). 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)). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). 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) * (K(y,z) * u)) * (K(y,x) * K(z,y)) != w | u * K(K(x,y) * K(y,z),u) = w. x * K(K(y,z) * K(z,u),x) = T((K(z,u) * x) * K(u,z),K(z,y)). T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). (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). 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)). T(x,K(y,z) * K(u,y)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). x * y != T(x,K(z,u) * K(w,z)) | K(x,K(z,w) * K(u,z)) = y. 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)). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). 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)). T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). K(x,y) * T(z,K(u,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). (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). 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)). 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)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) != w | (x * T(u,K(y,z))) * K(y,K(z,x * u)) = w. (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. (x * (K(y,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) * 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)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. 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,(y \ 1) * ((z \ y) * z)) = K(x,K(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 \ (u \ 1))) != w | K(x,K(y,u * z)) = w. K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). 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))). T(K(x,x * T(y,z)),y) = K(x,x * 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(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). K(x,(y * K(x,z)) * u) = K(x,y * u). K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). K(x / y,z * (y * (x / y))) = K(x / y,z * x). T(K(x,y * z),u) = K(x,T(y * (z * K(w,x)),u)). K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). 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). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. K(x,T(1 / y,z)) = K(x,z / (z * y)). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). 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)). 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). x != T(K(y,z),K(u,z) \ w) | T(K(y,z),w) = x. T(K(x,y),z) = T(K(x,y),z / K(u,y)). 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. x != R(y,K(z,u),w * K(u,z)) * w | (y * K(z,u)) * (K(u,z) * w) = x. (x * K(y,z)) * (K(z,y) * u) = (x * K(T(y,u),z)) * (K(z,T(y,u)) * u). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). 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)). 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). K(T(x,(y / z) \ 1),y) != u | K(T(x,y \ z),y) = u. K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). 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))). x != K(y,z / (u * T(w,y))) | K(y,z / (u * w)) = x. K(x,y / ((x \ 1) * z)) = K(T(x,z),((T(x,z) \ 1) * z) \ y). 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)). x != K(y / z,u) | K((z / y) \ 1,u) = x. K((x / y) \ 1,z) = K((y \ x) \ 1,T(z,x)). K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). K(x \ 1,T(y,z)) = K((z / (z / x)) \ 1,y). K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). K(x,T(T(y \ 1,z),u)) = K(x,T(T(y,z) \ 1,u)). K(x,T(T(y,z) \ 1,u)) = K(x,T(T(y \ 1,z),u)). K(x,T((y \ z) \ 1,u)) = K(x,T(T((z / y) \ 1,y),u)). K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). x * K(y,T((x \ z) \ 1,u)) = K(y,T((z / x) \ 1,u)) * x. K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)). K(x,T(y / z,u)) * y = y * K(x,T((y \ z) \ 1,u)). x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x. x * y != K(z,T(x / u,w)) * x | K(z,T(u \ x,w)) = y. K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). K(x,T(y / x,z)) = K(x,T(y / T(x,u),z)). K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). 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(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | K(w,K(z,y) * K(u,z)) = 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(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). x != K(y,K(z,u) * K(w,z)) | 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,R(z,u,u \ x))) * K(x,K(y,z)) != w | a(K(v5,K(v6,v7)),v8,v8 \ v5) = w. a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w)) * K(v6,v5)). 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)). a(K(x,K(y,z * u)),z,u) != 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. 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(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(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. 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,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(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)). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(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)). 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))). (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(z,u) * w)) \ w) \ 1 | T(K(z,u) * K(y,z),w) = x. T(K(x,y) * K(z,x),u) = (K(x,z) * K(y,x)) \ (K((K(x,z) * K(y,x)) \ u,K(x,z)) * K((K(x,z) * K(y,x)) \ u,K(x,y))). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = 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(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. x * y != (R(a(z,u,z),w,v5) * w) * v5 | x \ ((w * a(z,u,z)) * v5) = y. ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). 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). R(x,R(y,z,u),z * u) != w | ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = w. ((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). L(x,y,a(z,u,z)) = x. x \ (a(y,z,y) * u) = (a(y,z,y) \ x) \ u. (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). x \ a(y,z,y) = (a(y,z,y) \ x) \ 1. (a(x,y,x) \ z) \ 1 = z \ a(x,y,x). L(x \ (y \ z),x,y) != u | (y * x) \ z = u. (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). L(x,y,a(z,u,z)) != w | x = w. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). 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) * (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 * a(y,z,y)) * u = a(y,z,y) * (x * u). (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)) \ (u * (a(x,y,x) * z)) = K(u,a(x,y,x) * 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(x,y,z) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(K(x * y,y),z,u) = a(K(x,y),z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). x != a(K(y,y \ z),u,w) | a(K(y,z),u,w) = x. 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),z,u) = a(K(y \ x,x),z,u). a(K(x \ y,y),z,u) = a(K(y,x),z,u). 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),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). 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). a(K(x \ y,x),z,u) = a(K(y,x),z,u). x != a(y,z,y) * u | u * a(y,z,y) = x. (x / y) * a(z,u,z) = (a(z,u,z) * x) / y. (a(x,y,x) * z) / u = (z / u) * a(x,y,x). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). 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). x \ (a(y,z,y) * u) != w | (a(y,z,y) \ x) \ u = w. R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | 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) | a(y,z,L(y,u,w)) = x. a(x,y,L(x,z,u)) = a(x,y,R(x,w,v5)). a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). a(x,y,R(x,z,u)) = a(x,T(y,x),L(x,w,v5)). a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). 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). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). L(L(x,y,z),z * y,a(u,w,u)) = L(x,L(y,z,a(u,w,u)),a(u,w,u) * z). L(x,y,z) = L(x,L(y,z,a(u,w,u)),a(u,w,u) * z). L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = L(x,y,z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). L(x,y,T(z * u,z)) = L(x,y,u * z). L(x,y,K(z,u)) = L(x,y,K(z,z * u)). L(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,z * a(u,w,u)) = L(x,y,z). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,K(K(z,u) * w,(w * K(z,u)) * (K(u,z) * v5))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). L(x,y,T(z,u) \ w) = L(x,y,((z \ u) \ u) \ w). L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). (a(x,y,x) * (z * u)) \ (u * (a(x,y,x) * z)) != w | K(u,a(x,y,x) * z) = w. K(x,a(y,z,y) * u) = (u * x) \ (a(y,z,y) \ (x * (a(y,z,y) * u))). (x * y) \ (a(z,u,z) \ (y * (a(z,u,z) * x))) = K(y,a(z,u,z) * x). L(x,y,K(z \ u,z)) = L(x,y,K(z \ u,u)). L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). L(x,y / z,K(y,z)) = x. L(x,y,K(z \ u,z)) != w | L(x,y,K(z \ u,u)) = w. L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). x = L(x,K(y,z),K(y,u)). L(x,K(y,z),K(y,u)) = x. 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,z * (u \ 1))) = L(x,y,K(u,z)). L(x,y,K(z,z * u)) != w | L(x,y,K(z,u)) = w. L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). L(x,y,T(z \ 1,u)) = L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)). L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z \ 1,u)). L(x,y,T(z,u) \ 1) = L(x,y,T(z \ 1,u)). L(x,y,z * u) = L(x,y,(a(w,v5,w) \ z) * u). L(x,y,(a(z,u,z) \ w) * v5) = L(x,y,w * v5). a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). a(x,x \ y,L(x,z,u)) != w | a(L(x,z,u),L(x,z,u) \ y,L(x,z,u)) = w. a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) != w | K(u * x,L(x,y,z)) * K(L(x,y,z),u) = w. K(x * y,L(y,z,u)) * K(L(y,z,u),x) = a(y,x,R(y,w,v5)). a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). x != K(y * z,L(z,u,w)) * K(L(z,u,w),y) | a(L(z,u,w),L(z,u,w) \ (y * L(z,u,w)),L(z,u,w)) = x. a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). x * ((y / z) * R(z,u,z)) = (x * y) * a(z,u,L(z,w,v5)). (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). R(x,y,a(z,u,z)) = x. L(a(x,y,x),z,u) = a(x,y,x). x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). x \ a(y,z,y) = (x \ 1) * a(y,z,y). (x \ 1) * a(y,z,y) = x \ a(y,z,y). (x * (y * a(z,u,z))) * w = a(z,u,z) * ((x * y) * w). x != a(y,z,y) | L(a(y,z,y),u,w) = x. L(a(x,y,x),z,u) = L(a(x,y,x),w,v5). L(a(x,y,x),y,z) != u | a(x,y * K(z,y),x) = u. a(x,y * K(z,y),x) = a(x,y,x). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). a(x,y,x) = a(x,T(y,z),x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). a(x,(y * (z * u)) / (y * z),x) != w | L(a(x,u,x),z * u,y) = w. 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,x),z,u) != w | a(x,y,x) = w. a(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). a(x,y,x) \ x = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = a(x,y,x) \ x. x != a(y,z,y) \ y | L(y,z,y) = x. L(x,y,x) = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = L(x,y,x). L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). a(x,y,x) * (z \ 1) = z \ a(x,y,x). (x \ a(y,z,y)) * u = a(y,z,y) * ((x \ 1) * u). a(x,y,x) * ((z \ 1) * u) = (z \ a(x,y,x)) * u. a(x,y,x) \ ((z \ a(x,y,x)) * u) = (z \ 1) * u. x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). (a(x,y,x) \ z) \ u = (z \ u) * a(x,y,x). ((x \ 1) * y) \ z = (((x \ a(u,w,u)) * y) \ z) * a(u,w,u). (((x \ a(y,z,y)) * u) \ w) * a(y,z,y) = ((x \ 1) * u) \ w. (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). a(x,y,x) * (z * u) = z * (a(x,y,x) * u). x * y != z * (u * (u \ (z \ w))) | x \ w = y. (x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w). x * y = a(z,u,z) * (x * (a(z,u,z) \ y)). a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). a(x,y,x) * (z * u) != w | (z * a(x,y,x)) * u = w. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). a(x,y,x) * ((a(x,y,x) \ z) * u) != w | z * u = w. x * (a(y,z,y) \ u) = (a(y,z,y) \ x) * u. (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). K(x,x * y) * (z * u) = K(x,y) * (z * (a(x,y,x) \ u)). K(x,y) * (z * (a(x,y,x) \ u)) = K(x,x * y) * (z * u). L(x,y,z * u) = L(x,y,z * (a(w,v5,w) \ u)). L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). R(x,a(y,z,y),u) = x. L(x,a(y,z,y),u) = x. (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). x / (a(y,z,y) \ u) = (x / u) * a(y,z,y). x / ((y \ 1) * z) = (x / ((y \ a(u,w,u)) * z)) * a(u,w,u). (x / ((y \ a(z,u,z)) * w)) * a(z,u,z) = x / ((y \ 1) * w). x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). (x / y) * z = (x / L(y,u,y)) * (a(y,u,y) \ z). (x / L(y,z,y)) * (a(y,z,y) \ u) = (x / y) * u. x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / x) = z / R(x,y,x). x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). x \ R(x,T(y,z),x) = a(x,y,x). x != a(y,z / u,y) | a(y,u \ z,y) = x. a(x,y \ z,x) = a(x,T(z / y,u),x). a(x,T(y / z,u),x) = a(x,z \ y,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 * y) \ (y * (a(z,u,z) \ (a(z,u,z) * x))) = K(y,a(z,u,z) * x). (x * (a(y,z,y) \ u)) \ w = (x * u) \ (a(y,z,y) * w). (x * y) \ (y * x) = K(y,a(z,u,z) * x). K(x,a(y,z,y) * u) = (u * x) \ (x * u). K(x,y) = K(x,a(z,u,z) * y). K(x,a(y,z,y) * u) = K(x,u). K(x,y) = K(x,a(z,u,z) \ y). 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). K(x,(y \ R(y,z,y)) * u) = K(x,u). K(x,y * a(z,u,z)) = K(x,y). K(x,y * R(z,u,z)) = K(x,y * z). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,y * z) = K(x,y * (a(u,w,u) \ z)). K(x,y * (a(z,u,z) \ w)) = K(x,y * w). K(x,K(y,y * z) * u) = K(x,K(y,z) * u). K(x,y * ((z \ 1) * u)) = K(x,y * ((z \ a(w,v5,w)) * u)). K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * ((z \ 1) * v5)). K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). 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). K(x,K(y,y \ z) * (z \ u)) = K(x,T(z,y) \ u). K(x,(y \ z) \ u) = K(x,K(y,z) * ((z / y) \ u)). K(x,K(y,z) * ((z / y) \ u)) = K(x,(y \ z) \ u). K(x,(T(y \ z,y) \ 1) * u) = K(x,K(y,z) * (((y \ z) \ 1) * u)). K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(T(y \ z,y) \ 1) * u). (a(x,y,x) \ z) * K(x,z) = (L(x,y,x) * z) / x. K(x,y / (z * a(u,w,u))) = K(x,y / z). T(x,y) = T(x,a(z,u,z) * y). T(x,a(y,z,y) * u) = T(x,u). T(x,(y \ R(y,z,y)) * u) = T(x,u). T(x,y * a(z,u,z)) = T(x,y). x != y | L(y,z,a(u,w,u)) = x. L(T(x,y),z,a(u,w,u)) = T(x,y * a(v5,v6,v5)). T(x,y * a(z,u,z)) = L(T(x,y),w,a(v5,v6,v5)). x * y != T(z,u * a(w,v5,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = x \ T(x,y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z) / z) = T(x,z \ y). T(x,y * z) = T(x,y * L(z,u,z)). T(x,y * L(z,u,z)) = T(x,y * z). T(x,y \ (a(z,u,z) * w)) = T(x,y \ w). T(x,y / T(z,y)) = T(x,z \ y). K(x,y) * T(x * K(y,x),z \ u) = T(x,T(T(u,z) / z,y)). T(x,T(T(y,z) / z,u)) = K(x,u) * T(x * K(u,x),z \ y). K(x,T(y,z \ u) * (T(u,z) / z)) = K(x,(T(u,z) / z) * y). K(x,y * a(z,u,z)) != w | K(x,y) = w. T(x,y * a(z,u,z)) != w | w = T(x,y). T(x,y * a(z,u,z)) != w | T(x,y) = w. T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. T(x,y \ (a(z,u,z) * w)) != v5 | T(x,y \ w) = v5. (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). L(x,y,z) * a(u,w,u) = L(x * a(u,w,u),y,z). x * y != L((y \ z) * y,u,w) | y \ L(z,u,w) = x. a(x,y,x) \ L(z,u,w) = L(a(x,y,x) \ z,u,w). a(x,y,x) \ K(z,L(u,w,v5)) = L(a(x,y,x) \ K(z,u),w,v5). T(x,y \ T(z * u,z)) = T(x,y \ (u * z)). T(x,y \ R(z,u,z)) = T(x,y \ z). x * y != (a(z,u,z) \ w) * v5 | x \ (w * (a(z,u,z) \ v5)) = y. (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(a(y,z,y) \ u,x). (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(x,a(z,u,z) \ y,w). (x * (a(y,z,y) \ u)) \ ((a(y,z,y) \ x) * (u * w)) = L(w,u,a(y,z,y) \ x). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). (K(x,y) * (z * (a(x,y,x) \ u))) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). (K(x,x * y) * (z * u)) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). a(K(x,x * y),z,u) = a(K(x,y),a(x,y,x) \ z,u). a(K(x,y),a(x,y,x) \ z,u) = a(K(x,x * y),z,u). (x * (y * (a(z,u,z) * w))) \ v5 = (x * (y * w)) \ (a(z,u,z) \ v5). x != y \ (z * 1) | y \ z = x. (x * y) \ a(z,u,z) = (x * (a(z,u,z) \ y)) \ 1. (x * (a(y,z,y) \ u)) \ 1 = (x * u) \ a(y,z,y). (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) != w | K(a(y,z,y) \ u,x) = w. K(a(x,y,x) \ z,u) = (u * z) \ (a(x,y,x) * (z * (a(x,y,x) \ u))). (x * y) \ (a(z,u,z) * (y * (a(z,u,z) \ x))) = K(a(z,u,z) \ y,x). (x * y) \ (y * x) = K(a(z,u,z) \ y,x). K(a(x,y,x) \ z,u) = (u * z) \ (z * u). K(x,y) = K(a(z,u,z) \ x,y). K(a(x,y,x) \ z,u) = K(z,u). K(x,y) = K(a(z,u,z) * x,y). K(a(x,y,x) * z,u) = K(z,u). K(a(x,y,x) * z,u) != w | K(z,u) = w. K((x \ 1) * y,z) = K((x \ a(u,w,u)) * y,z). K((x \ a(y,z,y)) * u,w) = K((x \ 1) * u,w). K(x * (a(y,z,y) \ u),w) = K(x * u,w). K(x * a(y,z,y),u) != w | K(x,u) = w. (x * (y * (a(z,u,z) * w))) \ (a(z,u,z) * ((x * y) * w)) = a(x,y * a(z,u,z),w). (x * (y * (a(z,u,z) * w))) \ v5 != v6 | (x * (y * w)) \ (a(z,u,z) \ v5) = v6. (x * (y * z)) \ (a(u,w,u) \ (a(u,w,u) * ((x * y) * z))) = a(x,y * a(u,w,u),z). (x * (y * z)) \ ((x * y) * z) = a(x,y * a(u,w,u),z). a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). a(x,y,z) = a(x,y * a(u,w,u),z). a(x,y * a(z,u,z),w) = a(x,y,w). a(x,T(y * z,y),u) = a(x,z * y,u). a(x,y,z) = a(x,a(u,w,u) \ y,z). a(x,a(y,z,y) \ u,w) = a(x,u,w). K(x * a(y,z,y),u) = K(x,u). K(x \ y,z) = K(R(x,u,x) \ y,z). K(R(x,y,x) \ z,u) = K(x \ z,u). K(x * y,z) = K((a(u,w,u) \ x) * y,z). K((a(x,y,x) \ z) * u,w) = K(z * u,w). K(K(x,y) * z,u) = K(K(y * x,y) * z,u). K(K(x * y,x) * z,u) = K(K(y,x) * z,u). K(K(x,y) * z,u) = K(K(x * y,y) * z,u). K(K(x * y,y) * z,u) = K(K(x,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). 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,T(y,z) \ z) != u | K(x,z / y) = u. K(x,L(T(y,z),u,w) \ z) != v5 | K(x,z / L(y,u,w)) = v5. K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,T(y,z) / z) = K(x,z \ y). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * T(u,w))). K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). x != K(y,z \ (u * T(w,v5))) | K(y,z \ (u * ((w \ v5) \ v5))) = x. K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,u \ w))). K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). x != K(y,z \ (u * ((w \ v5) \ v5))) | K(y,z \ (u * T(w,v5))) = x. K(x,y \ (z * T(T(u,z),w))) = K(x,y \ (T(u,u \ w) * z)). K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ (T(z \ 1,u) * w)). 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). 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,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))). K(x,x * y) != z | (x * K(y,x)) \ L(x,y,x) = z. (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). 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,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). 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)). K(x,K(y,a(z,u,w))) = K(x,K(y,w \ L(w,u,z))). K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). T(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). 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)). (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). ((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,y / (z * y),x) = a(x,z \ 1,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). L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. 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)) != w | K(x * y,x * R(y,z,u)) = w. K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). 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,y / T(z,y)) = K(x,z \ y). K(x,y * ((z / u) * w)) = K(x,y * ((z / L(u,v5,u)) * w)). K(x,y * ((z / L(u,w,u)) * v5)) = K(x,y * ((z / u) * v5)). K(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = K(x,y * T(z,u)). x != K(y,z) | y \ T(y,z) = x. x \ T(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. L(a(x,y,x),z,u) != w | w = a(x,y,x). T(x,y * T(z,u)) = T(x,y * ((z \ u) \ u)). T(x,y * ((z \ u) \ u)) = T(x,y * T(z,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)). 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(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w. 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 \ ((y * z) / y) != u | x \ (z * K(y,z)) = u. a(x,y,x) \ (z * K(x,z)) = (x * z) / R(x,y,x). K(T(x,y) / y,z) = K(y \ x,z). K(x / L(y,z,y),u) = K(x / y,u). (x * K(y,T(z,u) \ w)) \ x = K(K(u,u \ z) * (z \ w),y). K(K(x,x \ y) * (y \ z),u) = (w * K(u,T(y,x) \ z)) \ w. K(T(x,y) \ z,u) = K(K(y,y \ x) * (x \ z),u). K(K(x,x \ y) * (y \ z),u) = K(T(y,x) \ z,u). K(K(x,x \ y) * (y \ z),u) != w | K(T(y,x) \ z,u) = w. K(K(x,x \ y) * z,u) = K(T(y,x) \ (y * z),u). K(T(x,y) \ (x * z),u) = K(K(y,y \ x) * z,u). K(K(x,y) * z,u) = K(K(x,x \ y) * z,u). K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). K(K(x,x \ y) * (y * z),u) = K(y * (K(x,y) * z),u). K(T(x,x \ y) * z,u) = K(K(x,y) * (x * z),u). K((T(x \ y,x) \ 1) * z,u) = K(K(x,y) * (((x \ y) \ 1) * z),u). K(K(x,y) * (((x \ y) \ 1) * z),u) = K((T(x \ y,x) \ 1) * z,u). K(T(x,x \ y) * z,u) = K(T(x,y) * z,u). K(T(x \ y,x) * z,u) = K(T(x \ y,y) * z,u). K(T(x \ y,y) * z,u) = K(T(x \ y,x) * z,u). K((x * (y / x)) * z,u) = K(y * (K(x,y) * z),u). L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). (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) * (K(x,z) * u) = (K(x,y) * K(x,z)) * u. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). x \ y != a(x,z,x) | R(x,z,x) = y. R(x,y,x) = R(x,T(y,z),x). R(x,T(y,z),x) = R(x,y,x). K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,x \ (z \ y),x). K(T(x,y) / y,z) != u | K(x / T(y,x),z) = u. K(x / T(y,x),z) = K(y \ x,z). K(T(x,x \ y) \ z,u) = K(T(x,y) \ 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(T(y,z),u)) = K(y,K(u,T(x,z))). K(x \ y,K(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,T(z,u))) = K(z,K(x \ y,T(x,u))). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,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) \ (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 \ 1,T(y,x \ z)) = K((z / (z / x)) \ 1,y). K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). L(x,y,K(z,u \ 1) * w) = L(x,y,K(z \ u,u) * w). L(x,y,K(z \ u,u) * w) = L(x,y,K(z,u \ 1) * w). L(x,y,K(z \ u,(z \ u) * z) * w) = L(x,y,K(u,z) * (a(z \ u,z,z \ u) \ w)). L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,(u \ z) * u) * w). T(x,T(y \ z,u)) = T(x,T(T(z,y) / y,u)). T(x,T(T(y,z) / z,u)) = T(x,T(z \ y,u)). T(x,T(y / T(z,y),u)) = T(x,T(z \ y,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)). T(x,x * (y \ L(y,z,u))) != w | L(T(x,a(u,z,y) \ 1),y \ L(y,z,u),x) = w. L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). T(x,y) = a(z,u,z) \ T(x * a(z,u,z),y). a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). a(x,y,x) * T(z,u) = T(z * a(x,y,x),u). a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | K(w,(y * z) \ u) = x. K(x,(y * z) \ u) = K(x,(y * (z * a(w,v5,w))) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * z) \ u) = K(x,(L(y,w,y) * z) \ u). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,u * (u \ z)) * w). L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,z) * w). L(x,y,z * (a(u,w,u) \ v5)) != v6 | L(x,y,z * v5) = v6. L(x,y,K(z,u) * w) = L(x,y,K(u \ z,z) * w). L(x,y,K(z \ u,u) * w) = L(x,y,K(u,z) * w). L(x,y,K(z \ u,u) * w) != v5 | L(x,y,K(z,u \ 1) * w) = v5. L(x,y,K(z,u \ 1) * w) = L(x,y,K(u,z) * w). K(T(x \ y,x) \ z,u) = K(T(x \ y,y) \ z,u). K(T(x \ y,y) \ z,u) = K(T(x \ y,x) \ z,u). K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. K(x,y \ K(z,u)) = K(x,y \ K(z,u * z)). K(x,y \ K(z,u * z)) = K(x,y \ K(z,u)). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(v5,v5 \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). a(x,(y * z) \ u,x) != w | a(x,z \ (y \ u),x) = w. a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(v5,v5 \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(v5,v5 \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(v5,v5 \ 1) / a(u,z,y),x). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,(w \ L(w,u,z)) * K(v5,v5 \ 1),x). x != a(y,z * K(y,u),y) | a(y,z,y) = x. a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ 1,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)). x != R(y,z,a(u,w,u)) | y = x. T(x,a(y,z,u) \ x) = (((a(y,z,u) \ 1) * x) * a(x,u \ L(u,z,y),x)) \ ((x * (a(y,z,u) \ 1)) * x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). (x * 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). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) != w | x * a(y,z,K(u,x)) = w. x * a(y,z,K(u,x)) = T(x,a(y,z,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,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)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). (x * K(T(y,z) \ u,w)) \ x = K(w,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. 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,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. L(x \ (y * z),x,K(y * z,y)) != u | (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y) = u. (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = L(z \ (x * y),z,K(y,x)). L(x \ (y * z),x,K(z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). L(x \ (y * z),x,K(z,y)) != u | (K(y,z) \ x) \ (z * y) = u. (K(x,y) \ z) \ (y * x) = (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x). (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). (K(x,y) * K(x,z)) \ K(u,u \ 1) != w | ((x \ K(x,y)) * T(x,z)) \ 1 = w. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(u,u \ 1)). ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x != K(y,z) * (z * u) | z * (K(y,z) * u) = 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)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (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. (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. (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(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)). x != (y * z) * K(z,u) | y * T(z,u) = x. 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). K(x,y \ (z \ a(u,w,u))) = K(x,y \ (z \ 1)). (x \ a(y,z,y)) / u = ((x \ 1) / u) * a(y,z,y). ((x \ 1) / y) * a(z,u,z) = (x \ a(z,u,z)) / y. (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) != v5 | L(w,a(y,z,y) \ u,x) = v5. L(x,a(y,z,y) \ u,w) = L(x,u,a(y,z,y) \ w). x != L(y,z,a(u,w,u) \ v5) | L(y,z,v5) = x. L(x,y,z) = L(x,a(u,w,u) \ y,z). L(x,a(y,z,y) \ u,w) = L(x,u,w). x != K(y,T(z,u) \ w) | K(y,((z \ u) \ u) \ w) = x. K(x,((y \ z) \ z) \ u) = K(x,T(y,y \ z) \ u). K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). 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(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). L(x,K(y,z),a(K(y,u),w,v5)) = x. 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). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,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(y,z \ 1),u,w) | a(K(z,y),u,w) = x. a(K(x,y),z,u) = K(x \ 1,y) * K(y,R(x,z,u) \ 1). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). 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). 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). (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). 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). T(a(K(x,y),z * y,u),R(y,z,u)) != w | K(x * y,x * R(y,z,u)) = w. K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). a(K(x,T(y,R(y,z,u))),z * y,u) = K(x * y,x * R(y,z,u)). a(K(x,y),z * y,u) = 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)). 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,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. 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,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 != R(K(y,z),u,w) * L(y,v5,y) | L(y * R(K(y,z),u,w),v5,y) = x. L(x * R(K(x,y),z,u),y,x) = T(x,x * y) * a(K(x,y),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). 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). T(x,K(y,R(z,u,w)) * K(z,y)) != v5 | T(x,a(K(z,y),u,w)) = v5. T(x,a(K(y,z),u,w)) = x * K(a(K(x,z),u,w),y). 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(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). K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. K((x / (x / y)) \ 1,z) != u | K(y \ 1,T(z,x)) = 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)). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). K(K(x / y,z) \ x,T(K(x / y,z),u)) != w | K(z,T(x / y,u)) * K(y \ x,T(z,u)) = w. K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. 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 \ 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). x != R(K(y,y * z),z,u) | K(y,y * z) = x. K(x,x * y) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). x * K(x,x * y) = T(x,R(y \ 1,y,z) \ x). 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,(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). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). 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 / 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 \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,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). L(x,y \ (y * z),x) = L(x,R(z,y,u),x). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) != w | L(x,a(y,z,u),x) = w. L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). 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)). 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))). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). T(K(x,y),T(z,K(y,x))) != u | R(T(z,K(y,x)),K(x,y),z) \ T(K(x,y) * z,z) = u. R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). 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)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) != u | K(z,T(y,x)) = u. K(x,T((y * z) \ (u * x),w)) = K(x,T((y * (x \ z)) \ u,w)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). K(x,(y * z) / ((u * (x \ y)) * z)) != w | R(K(x,u \ x),y,z) = w. R(K(x,y \ x),z,u) = K(x,(((y * z) * u) / (z * u)) \ x). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). 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(1 / y,z,u) \ x) = R(K(x,x * y),z,u). 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)). 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)). 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)). 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,K(y,(z * u) \ ((z * x) * u))) = 1. K(x,K(y,(z * u) \ ((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)))) = 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(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). a(x,x \ y,R(x,z,u)) * K(x,y) != w | K(x,R(x,z,u) \ y) = w. K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,R(x,y,z)). K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). 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,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,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,R(y,z,u) \ R(x,z,u)) != w | K(R(x,z,u),y \ x) = w. 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). K(x,R(R(x / y,z,u),w,v5) \ x) != v6 | R(R(K(x,y),z,u),w,v5) = v6. R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). R(K(x,y),z,u) = K(x,R(y,z,u)). K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). R(K(x,y),z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u) = K(x,R(u,y,z)). R(K(x,x * y),y * z,u) != w | K(x,x * R(y,z,u)) = w. K(x,x * R(y,z,u)) = K(x,R(x * y,y * z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. 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(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)). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(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,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). 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),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(x,R(y,x * z,u)),w,v5) != v6 | a(K(x,R(y,z,u)),w,v5) = v6. a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). 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). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). L(a(x,y,x),z,u) = (w * x) \ (w * R(x,y,x)). T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). L(K(x,K(y,y * z)),u,w) = K(x,K(z * x,L(y,u,w))). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). K(R(x,y,z),u) != w | R(K(x,u),y,z) = w. T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. 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 != K(y,(z / R(z,u,w)) \ y) | K(y,y * (z \ R(z,u,w))) = x. K(x,x * (y \ R(y,z,u))) = K(x,T(y \ (R(y,z,u) * x),T(y,R(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))). K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). K(x,(y \ x) * R(y,z,u)) != w | a(K(x / y,y),z * y,u) = w. 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))). a(K(x \ y,x),z,u) != w | a(K(y,x),z,u) = w. a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(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 * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). 1 = a(x,a(y,z,u),x). a(x,a(y,z,u),x) = 1. a(x,a(y,z,u),x) \ w = w. K(x,x * a(y,z,u)) = K(x,a(y,z,u)). K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = K(z,a(x,y,u)). K(x,a(y,z,u)) = a(y,z,K(x,u)). K(x,a(y \ 1,y,z)) != u | 1 = u. 1 = a(x \ 1,x,K(y,z)). a(x \ 1,x,K(y,z)) = 1. x * a(y,z,K(x,u)) = T(x,a(y,z,u)). x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. x \ (a(y,z,K(x,u)) \ w) = T(x,a(y,z,u)) \ w. a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. x * 1 != y | T(x,a(z,u,x)) = y. L(K(x,y),z,z \ 1) = K(x,y). K(x,L(y,z,z \ 1)) = K(x,y). K(L(x,y,y \ 1),z) = K(x,z). K(x,((y \ 1) * z) \ 1) = K(x,z \ y). x * y != L(K(z,u),w,w \ 1) | x \ K(z,u) = y. (x \ 1) \ K(y,z) = x * K(y,z). (1 / x) \ K(y,z) = x * K(y,z). K(x,y \ 1) \ 1 = ((z / (T(x \ 1,y) \ 1)) \ 1) * (z / x). ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(y,z \ 1) \ 1. x * K(x,y) = T(x,L(y,z,z \ 1)). T(x,L(y,z,z \ 1)) = x * K(x,y). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). K((x \ 1) * y,z) = K(x \ y,z). K((x \ 1) * y,z) != u | K((x \ a(w,v5,w)) * y,z) = u. K((x \ a(y,z,y)) * u,w) = K(x \ u,w). K(x,y) = K(z \ ((z \ 1) \ x),y). K(x \ ((x \ 1) \ y),z) = K(y,z). K(((x \ 1) * y) * z,u) = K(((y \ 1) * x) \ z,u). K(((x \ 1) * y) \ z,u) = K(((y \ 1) * x) * z,u). K((x * (y \ 1)) * z,u) = K((y * (x \ 1)) \ z,u). K((x * (y \ 1)) \ z,u) = K((y * (x \ 1)) * z,u). K(((x \ 1) / y) * z,u) = K(((y \ 1) \ x) \ z,u). K(((x \ 1) \ y) \ z,u) = K(((y \ 1) / x) * z,u). K(T(x \ 1,y) * z,u) = K((x * K(y,x \ 1)) \ z,u). K((x * K(y,x \ 1)) \ z,u) = K(T(x \ 1,y) * z,u). K((x \ 1) \ y,z) != u | K(x * y,z) = u. K((x / y) * z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). K(x * (y \ z),L(u,y \ z,y)) = K((y * (x \ 1)) \ z,u). 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 \ 1) = K(y \ (x \ 1),z). K(x \ (y \ 1),z) = K(y * x,z \ 1). K(x * y,z) = K(x / (y \ 1),z). K(x / (y \ 1),z) = K(x * y,z). K(x \ y,z) != u | K((x \ 1) * y,z) = u. K((x * (y \ 1)) \ z,u) != w | K((y * (x \ 1)) * z,u) = w. K(L(x \ 1,y,z \ 1) \ u,w) != v5 | K(R(x,y \ 1,z) * u,w) = v5. K(x / (y \ 1),z) != u | K(x * y,z) = u. K(R(x \ 1,y,z \ 1) \ u,w) != v5 | K(L(x,y \ 1,z) * u,w) = v5. T(x * K(y * x,z),y) = y \ T(x * y,z). x * (y * K(x * y,z)) = T(x * y,z). K(x * ((x \ 1) * y),z) != u | K(y,z) = u. (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. x \ T(y,z) = (x \ y) * K(y,z). (x \ y) * K(y,z) = x \ T(y,z). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(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 | (T(z,y) / x) \ z = u. (T(x,y) / z) \ x = z * K(y,x). (1 / x) \ K(y,z) != u | (K(z,y) / x) \ 1 = u. (K(x,y) / z) \ 1 = z * K(y,x). x * y != (1 / (z \ T(u,w))) \ K(w,u) | x \ (z \ u) = y. (x \ T(y,z)) \ (x \ y) = K(z,y). (x \ 1) * K(y,z) != u | x \ K(y,z) = u. 1 / (x * K(y,z)) = K(z,y) / x. K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. (x * K(y,z)) \ 1 = K(z,y) / x. x * y != (z / (u \ z)) \ w | x \ (u \ w) = y. (x \ K(y,z)) \ (x \ 1) = K(z,y). (x \ 1) * (y * K(z,u)) = ((K(u,z) / y) * x) \ 1. ((K(x,y) / z) * u) \ 1 = (u \ 1) * (z * K(y,x)). ((x * K(y,z)) * u) \ 1 = (u \ 1) * (K(z,y) / x). (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). ((x * (y * K(z,u))) / w) \ 1 = (w \ 1) \ ((K(u,z) / y) * (x \ 1)). (x \ 1) \ ((K(y,z) / u) * (w \ 1)) = ((w * (u * K(z,y))) / x) \ 1. K(x,K(y,(K(z,u) / w) * v5)) * K(x,y * (v5 \ (w * K(u,z)))) = K(x,(v5 \ ((K(z,u) / w) \ 1)) * y). (x * K(y,z)) \ 1 != u | K(z,y) * (x \ 1) = u. K(x,y) * (z \ 1) = K(x,y) / z. K((K(x,y) / z) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. (x \ K(y,z)) \ 1 = K(z,y) * x. L(x \ 1,x,K(y,z)) = x \ 1. K(x,y) / z = K(x,y) * (1 / z). K(x,y) * (1 / z) = K(x,y) / z. K(x,y) / T(z,u) = K(x,y) * (K(u,z) / z). K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). K(x,y) / T(z \ 1,u) = K(x,y) * (z * K(u,z \ 1)). K(x,y) * (z * K(u,z \ 1)) = K(x,y) / T(z \ 1,u). x * y != (z \ ((y \ (z * u)) * y)) * z | y \ (u * z) = x. x \ (y * z) = (x \ (z * y)) * K(x * (z \ (x \ (z * y))),z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). T(K(x,y) / (z \ 1),z \ 1) = z * K(x,y). ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). (x * (y \ 1)) \ K(z,u) = (y * (x \ 1)) * K(z,u). K(x,((y \ 1) * x) \ z) = K(x,y * (x \ z)). K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,y / z) = K(x,y * (z \ 1)). K(x,y * (z \ 1)) = K(x,y / z). K(x,y \ z) = K(x,(1 / y) * z). K(x,(1 / y) * z) = K(x,y \ z). K(x,(y * (z \ 1)) \ u) = K(x,(z * (y \ 1)) * u). K(x,((y \ 1) \ z) \ u) = K(x,((z \ 1) / y) * u). K(x,(y / (z \ 1)) \ u) = K(x,(z \ (y \ 1)) * u). K(x,y * (z \ 1)) != u | K(x,y / z) = u. x * (y * K(z,x * y)) = (x * y) * K(z,x * y). (x * y) * K(z,x * y) = x * (y * K(z,x * y)). K(x,y * z) != u | K(x,y / (z \ 1)) = u. K(x,(y \ 1) * z) != u | K(x,y \ z) = u. K(x,T((y \ 1) * z,u)) = K((x \ u) \ u,y \ z). K((x \ y) \ y,z \ u) = K(x,T((z \ 1) * u,y)). K(x,(T(y \ z,y) \ 1) * u) != w | K(x,K(y,z) * (((y \ z) \ 1) * u)) = w. K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,T(y \ z,y) \ u). K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). K(x,(y * ((z * y) \ 1)) * u) = K(x,R(z,y,y \ 1) \ u). K(x,(y \ 1) * z) != u | K(x,(z \ y) \ 1) = u. K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,(y * z) \ 1) = K(x,y \ (T(z,y) \ 1)). K(x,y \ (T(z,y) \ 1)) = K(x,(y * z) \ 1). K(x,L((y * z) \ 1,u,w)) = K(L(x,u,w),z \ (y \ 1)). K(L(x,y,z),u \ (w \ 1)) = K(x,L((w * u) \ 1,y,z)). K(x \ y,z \ (u \ 1)) != w | K(y \ x,u * z) = w. T(x,K(y,z \ (u \ 1))) != w | T(x,K(y,u * z)) = w. (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),x \ (y \ 1)). x != K(y,(z * u) \ 1) | K(y,u \ (z \ 1)) = x. K(x,y \ (z \ 1)) = K(x,z \ (T(y,z) \ 1)). K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). K(x,((y \ z) \ u) \ (((y * u) \ z) \ 1)) = K(x,((y * u) \ z) \ (((y \ z) \ u) \ 1)). K(x,((y \ 1) * z) \ u) != w | K(x,((z \ 1) * y) * u) = w. K(x,(y * (z \ 1)) \ u) != w | K(x,(z * (y \ 1)) * u) = w. K(x,((y \ 1) \ z) \ u) != w | K(x,((z \ 1) / y) * u) = w. K(x,y / (z \ 1)) != u | K(x,y * z) = u. K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. K(x \ 1,(x * (y \ 1)) * z) = K(x \ 1,(x \ 1) \ (y \ z)). K(x \ 1,(x \ 1) \ (y \ z)) = K(x \ 1,(x * (y \ 1)) * z). K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(u,z) * (y \ 1)) * w) = v5. T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). (K(x,y) * z) \ 1 = z \ K(y,x). x \ 1 = K(y,z) * (K(z,y) / x). K(x,y) * (K(y,x) / z) = z \ 1. (K(x,y) * z) * (u \ 1) = (u * (z \ K(y,x))) \ 1. (x * (y \ K(z,u))) \ 1 = (K(u,z) * y) * (x \ 1). ((K(x,y) * z) * u) \ 1 = (u \ 1) * (z \ K(y,x)). (K(x,y) * z) \ (u \ 1) = (u / (z \ K(y,x))) \ 1. (x / (y \ K(z,u))) \ 1 = (K(u,z) * y) \ (x \ 1). (x \ (K(y,z) * u)) \ 1 = (u \ K(z,y)) / (x \ 1). (x \ K(y,z)) / (u \ 1) = (u \ (K(z,y) * x)) \ 1. (K(x,y) * z) \ K(u,w) = (z \ K(y,x)) * K(u,w). K((K(x,T(y,z)) * u) \ w,v5) = K(((u \ 1) * K(y,T(x,z))) * w,v5). K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((K(z,T(y,u)) * x) \ w,v5). K(x,K(y,((z \ 1) * u) * w)) * x = T(x,K(((u \ 1) * z) \ w,y)). K(((x * K(y,z)) * u) \ w,v5) = K(((u \ 1) * (K(z,y) / x)) * w,v5). K(((x \ 1) * (K(y,z) / u)) * w,v5) = K(((u * K(z,y)) * x) \ w,v5). K(((K(x,y) * z) * u) \ w,v5) = K(((u \ 1) * (z \ K(y,x))) * w,v5). K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((K(u,z) * y) * x) \ w,v5). (x * K(R(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). K(x,(y * ((z * y) \ 1)) * u) != w | K(x,R(z,y,y \ 1) \ u) = w. K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. K(x,y * (1 / z)) = K(x,y / z). K(x,y * (z * (u \ 1))) = K(x,y / (u * (z \ 1))). K(x,y / (z * (u \ 1))) = K(x,y * (u * (z \ 1))). K(x,y * (z * ((u * z) \ 1))) = K(x,y / R(u,z,z \ 1)). K(x,y * (((z \ 1) * u) * (w \ 1))) = K(x,y / (w * ((u \ 1) * z))). K(x,y * (z \ (u \ 1))) = K(x,y / (u / (z \ 1))). K(x,y / (z / (u \ 1))) = K(x,y * (u \ (z \ 1))). K(x,1 / y) = K(x,K(z,1 / z) / y). K(x,K(y,1 / y) / z) = K(x,1 / z). K(x,(x \ y) * z) = K(x,y / (x * (z \ 1))). K(x,y / (x * (z \ 1))) = K(x,(x \ y) * z). K(x,y / (z * (u \ 1))) != w | K(x,y * (u * (z \ 1))) = w. K(x,y / (z / (u \ 1))) != w | K(x,y * (u \ (z \ 1))) = w. K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. x / (y * K(z,x)) = T(x,z) / y. (x * (y / x)) \ x = (y \ x) * K(y / x,x). (x \ y) * K(x / y,y) = (y * (x / y)) \ y. R(x \ 1,x,T(y,z)) \ y = (x * T(y,z)) * K(z,y). x / (y / z) = T(x,z) / (y / T(z,x)). T(x,y) / (z / T(y,x)) = x / (z / y). x / y = T(x,z) / (y * K(x,z)). T(x,y) / (z * K(x,y)) = x / z. (x / y) * (y * K(x,z)) = T(x,z). T(x,L(y,z,z \ x)) = T(x,y). x * y != (z / u) * (u * K(z,w)) | x \ T(z,w) = y. (K(x,y) * z) \ T(x,y) = z \ x. T(x * y,L(z,x,y)) = T(x * y,z). (x \ (y * z)) * K(z,y) = x \ (z * y). x * y != (z \ (u * w)) * K(w,u) | (z \ (w * u)) / y = x. (x \ (y * z)) / z = (x \ (z * y)) / T(z,y). (x \ (y * z)) / T(y,z) = (x \ (z * y)) / y. (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). ((x * y) / z) \ (y * x) != u | z * K(y,x) = u. x * T(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). K(L(x,y,(z \ 1) / (y * x)),u) = K(z * (((z \ 1) / (y * x)) * y),u \ 1). K(x \ ((y \ 1) / z),u) = K(((z \ 1) \ y) * x,u \ 1). K(((x \ 1) \ y) * z,u \ 1) = K(z \ ((y \ 1) / x),u). K(x \ ((y \ 1) \ z),u) = K(((z \ 1) / y) * x,u \ 1). K(((x \ 1) / y) * z,u \ 1) = K(z \ ((y \ 1) \ x),u). K(x \ (((y * z) \ 1) * y),u) = K(L(z,y,y \ 1) * x,u \ 1). K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (((y * x) \ 1) * y),u). K(x,((x \ 1) * y) * z) = K(x,y * (x \ z)). K(x \ K(y,z * (y \ u)),((y \ 1) * z) * u) != w | K(x,(((y \ 1) * z) * u) \ 1) = w. x != K(y,T(z,u)) / u | u \ K(y,z) = x. x \ K(y,z) = K(y,T(z,x)) * (x \ 1). K(x,T(y,z)) * (z \ 1) = z \ K(x,y). K(x,y) * (((z * u) \ 1) * z) = K(x,y) / L(u,z,z \ 1). K(x,L(y * z,z,y)) = K(x,y * z). (x * (y / x)) * K(z,T(y,x)) = x * ((y / x) * K(z,x * (y / x))). x * ((y / x) * K(z,x * (y / x))) = (x * (y / x)) * K(z,T(y,x)). K(L(x,y,z),z * y) = K(x,z * y). K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). x * y != K(z,u * w) * (u * (w * z)) | x \ (L(z,w,u) * (u * w)) = y. (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). x * K(y,L(z,u,u \ x)) != w | (x / u) * (u * K(y,z)) = w. ((x \ 1) / y) * (y * K(z,u)) = x \ K(z,L(u,y,y \ (x \ 1))). x \ K(y,L(z,u,u \ (x \ 1))) = ((x \ 1) / u) * (u * K(y,z)). ((T(x,y) \ z) \ 1) * K(y,x) != u | (x \ z) \ 1 = u. (x \ y) \ 1 = (T(x,z) \ y) \ K(z,x). (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. K(x,y) * (x \ K(z,u)) = (x \ K(x,y)) * K(z,u). (x \ K(x,y)) * K(z,u) = K(x,y) * (x \ K(z,u)). K(x,y) * (z \ K(y,x)) = T(z \ 1,K(x,y)). 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)) = 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(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). (((x \ K(y,z)) / u) * w) \ 1 = (w \ 1) * ((u \ 1) \ (K(z,y) * x)). (x \ 1) * ((y \ 1) \ (K(z,u) * w)) = (((w \ K(u,z)) / y) * x) \ 1. K(x,y * (z \ K(u,w))) = K(x,y / (K(w,u) * z)). K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). (K(x * y,z \ 1) * u) \ 1 = u \ K(z,y \ (x \ 1)). L(x \ 1,y,z) = L(L(x \ 1,y,z),x,K(u,w)). L(L(x \ 1,y,z),x,K(u,w)) = L(x \ 1,y,z). x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. K(a(x,y,z),u) = a(x,y,K(z,u)). x != a(y,z,K(u,z)) | 1 = x. 1 = K(a(x,y,z),y). K(a(x,y,z),y) = 1. K(a(x,y,z),u) != w | K(L(z,y,x) \ z,u) = w. K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). (x * a(y,z,K(u,x))) \ w = K(x,a(y,z,u)) * (x \ w). (x * a(y,z,K(u,w))) \ 1 = K(w,a(y,z,u)) * (x \ 1). K(x \ 1,(K(y,z) * u) * w) = K(x,(w \ 1) * (u \ K(z,y))). K(x,T(y,(K(z,u) * w) * (v5 \ 1))) != v6 | K(x,T(y,v5 * (w \ K(u,z)))) = v6. K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. K(x,((K(y,z) * u) * (w \ 1)) * v5) != v6 | K(x,(w * (u \ K(z,y))) \ v5) = v6. K(x,y * (z \ (u \ 1))) = K(x,T((u / (z \ 1)) \ y,u / (z \ 1))). K(x,T((y / (z \ 1)) \ u,y / (z \ 1))) = K(x,u * (z \ (y \ 1))). K(x,y / (z / (K(u,w) * v5))) != v6 | K(x,y * ((v5 \ K(w,u)) \ (z \ 1))) = v6. T(x,y) = T(x,L(y,z,z \ 1)). T(x,L(y,z,z \ 1)) = T(x,y). T(x,L(y \ z,y,y \ 1)) != u | T(x,(y \ 1) * z) = u. T(x,(y \ 1) * z) = T(x,y \ z). T(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,L(y,z \ 1,z)) = T(x,y). K(T(x,y) * L(y,z,z \ 1),u) = K(L(y,z,z \ 1) * x,u). T(x,y) = T(x,z \ ((z \ 1) \ y)). T(x,y \ ((y \ 1) \ z)) = T(x,z). ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). T(x,((y \ 1) * K(z,u)) * w) = T(x,(K(u,z) * y) \ w). ((x \ 1) * y) * K(z,T(u,x \ y)) = K(z,u) * ((x \ 1) * y). K(x,T(y,z \ u)) * ((z \ 1) * u) = ((z \ 1) * u) * K(x,y). T(x,((y \ 1) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). T(x,(y \ a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). T(x,y \ (a(z,u,z) * w)) = T(x,(y \ a(z,u,z)) * w). T(x,y \ z) = T(x,(y \ a(u,w,u)) * z). T(x,(y \ a(z,u,z)) * w) = T(x,y \ w). T(x,T(y * z,u)) = T(x,T((y \ 1) \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). K((x \ 1) / y,z) = K(y * x,z \ 1). K((((x \ 1) / y) * z) / (x \ 1),u) != w | K(y \ z,L(T(u,x),y,y \ (x \ 1))) = w. K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) * u,z). K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. K(x / (1 / y),z) = K(x * y,z). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). K(x / y,z) = K(x * (y \ 1),z). K(x * (y \ 1),z) = K(x / y,z). ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y * T(x,y),x \ 1) * (y \ z). K(x * (((y \ 1) * z) * (u \ 1)),w) = K(x / (u * ((z \ 1) * y)),w). K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x / ((K(w,u) * z) * y),v5). ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(x * y,x \ 1) * (y \ z). K(x,y / (L(z,u,w) \ z)) = K(x,y * (L(z,u,w) * (z \ 1))). K(x,y * (L(z,u,w) * (z \ 1))) = K(x,y / (L(z,u,w) \ z)). ((x \ 1) \ y) \ 1 = T(((x \ 1) \ y) \ 1,x * y). T(((x \ 1) \ y) \ 1,x * y) = ((x \ 1) \ y) \ 1. T(x,(y \ 1) * z) != u | T(x,y \ z) = u. T(x,(K(y,z) * (u \ 1)) * w) != v5 | T(x,(u * K(z,y)) \ w) = v5. (((x \ 1) / y) * (y * K(z,u))) \ K(w,v5) = ((K(z,L(u,y,y \ (x \ 1))) \ 1) * x) * K(w,v5). ((K(x,L(y,z,z \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). (((x \ 1) / (y * K(z,u))) * y) \ K(w,v5) = ((K(u,L(z,y,(y * K(z,u)) \ (x \ 1))) \ 1) * x) * K(w,v5). ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / (z * K(y,x))) * z) \ K(w,v5). (K(x,L(y,z,z \ (u \ 1))) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(y,x))) \ K(w,v5). x != L(y,z \ 1,z) \ y | a(z,z \ 1,y) = x. a(x,x \ 1,T(y,z)) = (L(T(y,z),x \ 1,x) \ y) * K(y,z). (L(T(x,y),z \ 1,z) \ x) * K(x,y) = a(z,z \ 1,T(x,y)). x != y \ T(z,z \ u) | y \ ((z \ u) \ u) = x. x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). K(x \ y,L(T(z,u),x,x \ (u \ 1))) != w | K((((u \ 1) / x) * y) * u,z) = w. K(x / (K(y,z) * u),w) != v5 | K(x * (u \ K(z,y)),w) = v5. K((K(x,y) * z) / u,w) != v5 | K(u * (z \ K(y,x)),w \ 1) = v5. K(x,1 / ((y \ 1) * z)) = K(x,z \ y). K(x,1 / ((1 / y) * z)) = K(x,z \ y). K(x,y / (K(z,u) * x)) != w | K(x,(x \ y) * K(u,z)) = w. K(x,(x \ y) * K(z,u)) = K(x,y * (x \ K(z,u))). K(x,y / (T(z,u) \ w)) = K(x,y * ((z \ w) \ K(z,u))). K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). K(x,y) * (((y \ 1) / z) * (z * K(u,w))) != v5 | T(y,x) \ K(u,L(w,z,z \ (y \ 1))) = v5. (K(x,y) * (z \ 1)) * K(u,w) != v5 | (z * K(y,x)) \ K(u,w) = v5. (K(x,y) * z) * K(u,w) != v5 | (z \ K(y,x)) \ K(u,w) = v5. T(x,a(y,z,x)) = x. (x * a(y,z,x)) / x = a(y,z,x). x * K(y,T(y \ (x \ 1),x)) = (T(y,x) \ 1) * (y * ((x / (y \ 1)) / y)). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,T(x \ (y \ 1),y)). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,1 / (y * x)). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,(y * x) \ 1). (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,x \ (y \ 1)). (x * K(y,y \ (x \ 1))) \ z = K(y * x,y \ 1) * (x \ z). (x * K(y,y \ (x \ 1))) \ z != u | x \ (K(x * y,y \ 1) * z) = u. x \ (K(x * y,y \ 1) * z) = K(y * x,y \ 1) * (x \ z). x != K((y \ 1) \ z,u) | K(y * z,u) = x. K(x * ((y \ 1) * z),u) = K((x / y) * z,L(u,z,y \ 1)). K((x / y) * z,L(u,z,y \ 1)) = K(x * ((y \ 1) * z),u). K((x / y) * z,L(u,z,y \ 1)) != w | K(x * ((y \ 1) * z),u) = w. K((x * (y \ 1)) * z,u) = K(x * (y \ z),L(u,y \ z,y)). K(x * (y \ z),L(u,y \ z,y)) = K((x * (y \ 1)) * z,u). K(x * (y \ z),L(u,y \ z,y)) != w | K((x * (y \ 1)) * z,u) = w. K(x,L(y,z,z \ x)) = K(x,y). K(x,L(y,z \ x,(z \ x) \ 1)) != u | K(x,L(y,z \ x,z)) = u. K(x,L(y,z \ x,z)) = K(x,y). K(x,L(y,z \ 1,z)) = K(x,y). x != K(y,z) | K(y,L(z,u,u \ 1)) = x. K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). K(x * y,L(z,x,y)) = K(x * y,z). K(x,L(y,z,z \ 1)) != u | K(x,y) = u. K(L(x,y,y \ 1),z) != u | K(x,z) = u. K(x,T(y,(K(z,u) / w) \ (K(z,u) * v5))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). ((x * y) \ 1) * T(z,y \ (x \ 1)) = z * ((x * y) \ 1). (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,y \ (x \ 1)). (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). x * ((y * z) \ 1) != (y * z) \ ((y \ 1) \ z) | (y \ 1) \ z = x. (x \ 1) \ y = ((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y). ((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y) = (x \ 1) \ y. T(x,y * ((z * u) \ 1)) = T(x,(z * u) \ T(y,u \ (z \ 1))). T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u * ((y * z) \ 1)). (x * ((y * z) \ 1)) * T(u,(y * z) \ T(x,z \ (y \ 1))) = u * (((y * z) \ 1) * T(x,z \ (y \ 1))). (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). K(x,L(T(y,z),z \ 1,z)) != u | K(x,z * (y * (z \ 1))) = u. K(x,y * (z * (y \ 1))) = K(x,T(z,y)). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K(x,y) * a(z,z \ 1,y) = T(L(y,z \ 1,z),x) \ y. T(L(x,y \ 1,y),z) \ x = K(z,x) * a(y,y \ 1,x). L(T(x,y),z \ 1,z) \ x = K(y,x) * a(z,z \ 1,x). (K(x,y) * a(z,z \ 1,y)) * K(y,x) = a(z,z \ 1,T(y,x)). T(a(x,x \ 1,y),K(z,y)) = a(x,x \ 1,T(y,z)). T(a(x,x \ 1,y),z) != u | a(x,x \ 1,y) = u. a(x,x \ 1,y) = a(x,x \ 1,T(y,z)). a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). a(x,x \ 1,y \ z) = a(x,x \ 1,z / y). a(x,x \ 1,y / z) = a(x,x \ 1,z \ y). K(x,y * (z * (x \ 1))) = K(x,(x \ y) * z). K((x * (y \ 1)) * z,u \ 1) != w | K(z \ (y * (x \ 1)),u) = w. K((x * (K(y,z) \ 1)) \ (K(z,T(y,x \ 1)) * u),w) = K(((x \ 1) * K(y,z)) * (K(z,y) * u),w). K((x * (K(y,z) / u)) \ w,v5) = K(((u * K(z,y)) * (x \ 1)) * w,v5). K(((x * K(y,z)) * (u \ 1)) * w,v5) = K((u * (K(z,y) / x)) \ w,v5). x != K(y,z) | z / T(z,y) = x. x / T(x,y / z) = K(y * (1 / z),x). K(x * (1 / y),z) = z / T(z,x / y). T(x,y * (1 / z)) = T(x,y / z). T(x,y * (z \ 1)) = 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 * z) = T(x,y / (z \ 1)). T(x,y / (z \ 1)) = T(x,y * z). x != T(y,z / u) | T(y,T(u \ z,z)) = x. T(x,T(y \ z,z)) = T(x,z * (y \ 1)). T(x,y * ((z * u) \ 1)) != w | T(x,(z * u) \ T(y,u \ (z \ 1))) = w. T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u / (y * z)). T(x,y) = T(x,(y / (z \ 1)) / z). T(x,(y / (z \ 1)) / z) = T(x,y). T(x,y * (z \ K(u,w))) = T(x,y / (K(w,u) * z)). T(x,y / (K(z,u) * w)) = T(x,y * (w \ K(u,z))). T(x,y / T(K(z,u) * w,y)) = T(x,T(y,K(z,u) * w) * (w \ K(u,z))). K(x,(y / (K(z,u) * w)) \ T(v5,y * (w \ K(u,z)))) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. x != T(y,z / (u * z)) | T(y,u \ 1) = x. T(x,y \ 1) = T(x,(y * z) \ T(z,z \ (y \ 1))). T(x,(y * z) \ T(z,z \ (y \ 1))) = T(x,y \ 1). (x * ((y * x) \ 1)) * T(z,y \ 1) = z * (((y * x) \ 1) * T(x,x \ (y \ 1))). x * (((y * z) \ 1) * T(z,z \ (y \ 1))) = (z * ((y * z) \ 1)) * T(x,y \ 1). x * (y * ((z * y) \ 1)) = (y * ((z * y) \ 1)) * T(x,z \ 1). (x * ((y * x) \ 1)) * T(z,y \ 1) = z * (x * ((y * x) \ 1)). x * y != K(z,x * u) * x | K(z,u * x) = y. K(x,y * (z * ((u * z) \ 1))) = T(K(x,(z * ((u * z) \ 1)) * y),u \ 1). T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u * (y * ((z * y) \ 1))). x != K(y,z * (u * ((w * u) \ 1))) | K(y,z / R(w,u,u \ 1)) = x. K(x,y / R(z,u,u \ 1)) = T(K(x,(u * ((z * u) \ 1)) * y),z \ 1). T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u / R(z,y,y \ 1)). K(x,((x * (y \ 1)) * z) \ 1) = K(x \ 1,(x \ 1) \ (y \ z)). K(x \ 1,(x \ 1) \ (y \ z)) = K(x,((x * (y \ 1)) * z) \ 1). K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(z \ 1) * (y * (x \ 1))). x != K(y,z * (u * (y \ 1))) | K(y,(y \ z) * u) = x. K(x,(x \ (y \ 1)) * z) = K(x \ 1,(x \ 1) \ (z \ y)). K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(x \ (z \ 1)) * y). K(x \ 1,x * (y \ z)) = K(x,(x \ (z \ 1)) * y). K(x,(x * (y \ z)) \ 1) = K(x,(x \ (z \ 1)) * y). K(x,x \ ((y \ z) \ 1)) = K(x,(x \ (z \ 1)) * y). K(x,x \ ((y \ z) \ 1)) != u | a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = u. a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,(x \ (z \ 1)) * y). T(x,y * ((z \ 1) * (K(u,w) / v5))) = T(x,y / ((v5 * K(w,u)) * z)). T(x \ 1,y) * K(z,u) = K(x,y \ 1) * (x \ K(z,u)). K(x,y \ 1) * (x \ K(z,u)) = T(x \ 1,y) * K(z,u). K(x,T(y \ z,u)) = K(x,T((y \ 1) * z,u)). K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). K(x,T((y * z) \ 1,u)) = K(x,T(z \ (y \ 1),u)). K(x \ y,T(z * u,w)) = K(y \ x,T(u \ (z \ 1),w)). K(x \ y,T(z \ (u \ 1),w)) = K(y \ x,T(u * z,w)). K(x,(y \ R(y,z,u)) * (w * (R(y,z,u) \ y))) = K(x,T(w,y \ R(y,z,u))). K(x,(y \ R(y,z,y)) * u) != w | K(x,u) = w. K(x,y * (R(z,u,z) \ z)) = K(x,T(y,z \ R(z,u,z))). K(x,y * (R(z,u,z) \ z)) = K(x,y). T(K(x,y) * z,z \ 1) = z * K(x,y). T(K(x,y) * (z \ u),u \ z) = (z \ u) * K(x,y). K(K(x,y) * z,T(u \ (w \ 1),v5)) = K(z \ K(y,x),T(w * u,v5)). K(K(x,y) * z,T(u \ K(w,v5),v6)) = K(z \ K(y,x),T(K(v5,w) * u,v6)). K(x \ K(y,z),T(K(u,w) * v5,v6)) = K(K(z,y) * x,T(v5 \ K(w,u),v6)). K((x * K(y,z)) \ (K(y,T(z,x \ 1)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). K((x * K(y,z)) \ (K(y,T(z,x)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). x * (K(y,z) * (z / x)) = (x * (z / x)) * K(y,T(z,x)). (x * (y / x)) * K(z,T(y,x)) = x * (K(z,y) * (y / x)). (x * (K(y,z) * (z / x))) / (x * (z / x)) != u | K(y,T(z,x)) * K(x * (z / x),K(y,T(z,x))) = u. x != ((y \ 1) \ z) \ 1 | (z \ 1) / y = x. (x \ 1) / y = T(((y \ 1) \ x) \ 1,y * x). T(((x \ 1) \ y) \ 1,x * y) = (y \ 1) / x. T((x \ 1) / y,y * x) = (x \ 1) / y. (x * y) * ((y \ 1) / x) = ((y \ 1) / x) * (x * y). ((x \ 1) / y) * (y * x) = (y * x) * ((x \ 1) / y). x * (y * z) != u | ((x * y) * z) / a(x,y,z) = u. ((((x \ 1) / y) * y) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). ((x \ 1) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). 1 / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). L(x \ y,x,K(y,z)) = x \ y. (K(x * K(y,x),y) * z) \ x = z \ (x * K(y,x)). x \ T(y,z) = (K(z,y) * x) \ y. (K(x,y) * z) \ y = z \ T(y,x). (K(x,y) \ z) \ T(y,x) = z \ y. (K(x,x * y) \ z) \ T(x * y,x) != u | (K(x,y) \ z) \ (y * x) = u. (K(x,y) \ z) \ (y * x) = z \ (x * y). x \ (y * z) = (K(z,y) * x) \ (z * y). (K(x,y) * z) \ (x * y) = z \ (y * x). K((x / (y \ 1)) * z,T(u,x * y)) = K(z * (x / (y \ 1)),u). K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y / (z \ 1))). K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y * z)). K(x,y / (z / (u \ 1))) = K(x,(u \ (z \ 1)) * T(y,z * u)). K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u / (z / (y \ 1))). x != K(y,z / (u / (w \ 1))) | K(y,z * (w \ (u \ 1))) = x. K(x,y * (z \ (u \ 1))) = K(x,(z \ (u \ 1)) * T(y,u * z)). K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u * (y \ (z \ 1))). K(x,((y / z) \ 1) * T(u,y * (z \ 1))) = K(x,u * ((z \ 1) \ (y \ 1))). K(x,(K(y,z) \ ((u / (z * y)) \ 1)) * T(w,u / (T(z,y) * y))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). K(x,(K(y,z) * ((u / (y * z)) \ 1)) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). K(x,(K(y,z) / (u / (y * z))) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). T(x,K(y,(z \ 1) \ u)) != w | T(x,K(y,z * u)) = w. K(x,L(y \ (z \ 1),u,w)) = K(x,L((z * y) \ 1,u,w)). K(x,L((y * z) \ 1,u,w)) = K(x,L(z \ (y \ 1),u,w)). K((x * y) / (x * z),(x * z) \ 1) = K(z \ y,L(z \ (x \ 1),z,x)). K(x \ y,L(x \ (z \ 1),x,z)) = K((z * y) / (z * x),(z * x) \ 1). K(x \ y,(z * x) \ 1) = K((z * y) / (z * x),(z * x) \ 1). K((x * y) / (x * z),(x * z) \ 1) = K(z \ y,(x * z) \ 1). x != K(y \ z,u \ 1) | K(z \ y,u) = x. K(x \ y,z * y) = K((z * x) / (z * y),(z * y) \ 1). K((x * y) / (x * z),(x * z) \ 1) = K(y \ z,x * z). K((x * y) / (x * z),z \ (x \ 1)) = K(y \ z,x * z). K(x,y \ (x \ 1)) = K((x * y) \ y,x * y). K((x * y) \ y,x * y) = K(x,y \ (x \ 1)). x * K(y,x \ (y \ 1)) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x,y \ (x \ 1)). x * y != ((z * u) \ u) * (z * u) | x \ (u * K(z,u \ (z \ 1))) = y. T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = K(z,(x * y) \ y) * (x * y). x != K(y,z \ u) * z | z * K(y,u / z) = x. (x * y) * K(z,y / (x * y)) = T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))). T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,y / (x * y)). T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,x \ 1). x != (y * z) * K(u,y \ 1) | y * (z * K(u,y \ 1)) = x. x * (y * K(z,x \ 1)) = T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))). T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = x * (y * K(z,x \ 1)). K(x,(x \ T((y * x) \ x,z)) \ K(y,x \ (y \ 1))) = K(x,y * (x * K(z,y \ 1))). K(x,T((y / (z \ 1)) \ u,y * z)) = K(x,u * (z \ (y \ 1))). (K(x,y) * z) \ x = z \ (x * K(y,x)). (x * K(y,z)) \ y = T(x,K(y,z)) \ (y * K(z,y)). T(x,K(y,z)) \ (y * K(z,y)) = (x * K(y,z)) \ y. (x * K(x * y,z \ 1)) \ 1 = x \ K(z,x \ (y \ 1)). T(x,K(y,z \ ((K(u,w) * v5) \ (v6 \ 1)))) = T(x,K(y,(v6 / (v5 \ K(w,u))) * z)). K(x,K((y / (z \ 1)) * u,T((u * (y / (z \ 1))) \ w,y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). K(x * y,T((y * x) \ z,u)) = K(x * y,T(x \ (y \ z),u)). K(x,K((y / (z \ 1)) * u,T((y / (z \ 1)) \ (u \ w),y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). K(x,K((y / (z \ 1)) * u,(u \ w) * (z \ (y \ 1))) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). x != (y * T(z,u)) * K(u,z) | y * z = x. x * y = R(x \ 1,x,T(y,z)) \ y. R(x \ 1,x,T(y,z)) \ y = x * y. K(x,T(y,(z \ 1) * ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). K(x,T(y,z \ ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). ((K(x,y) * ((z * u) \ 1)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). ((K(x,y) / (z * u)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). T(x \ 1,K(y,z)) * K(x \ K(z,y),u) != w | K(y,z) * T(x \ K(z,y),u) = w. K(x,T((((y * z) \ y) \ 1) \ x,u)) != w | K(x,1 \ (((y * T(z,u)) \ y) * x)) = w. 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,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). 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),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(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(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | R(K(y,y * z),u,w) = 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)). x != K(R(y,z,u),T(y * T(w,v5),v5)) | K(R(y,z,u),y * w) = x. K(R(x,y,z),x * u) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | 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)). K(x,R(x * y,y * z,u)) != w | K(x,x * R(y,z,u)) = w. 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 / z),u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). L(T(x,R(y / T(z,u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). 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(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)). K(x \ 1,y) * 1 = ((z / (T(y \ 1,x) \ 1)) \ 1) * (z / y). ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z \ 1,y) * 1. K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(K(z,u \ 1) * x,w \ 1). K(x,y \ 1) * 1 = ((z / (T(y \ 1,x) \ 1)) \ 1) * (z / y). ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z,y \ 1) * 1. ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)) * 1. K(x,y \ (z \ 1)) = ((u / (T((z * y) \ 1,x) \ 1)) \ 1) * (u / (z * y)). ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)). K(K(x,y \ 1) * (x \ z),u) = K(T(x \ 1,y) * z,u). K(((x \ 1) / y) / z,u) = K(z * ((y \ 1) \ x),u \ 1). K(x * ((y \ 1) \ z),u \ 1) = K(((z \ 1) / y) / x,u). K(x * y,L(z,y,x)) = K(x * y,z). K(x * y,(x * y) \ z) = K(x * y,y \ (x \ z)). K(x,L(y,z,(u \ 1) / (z * x))) = K(u * (((u \ 1) / (z * x)) * z),y \ 1). K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(x \ 1) / (y * z))). K((x \ 1) * y,z) != u | K(x \ y,z) = u. K((x \ a(y,z,y)) * u,w) != v5 | K(x \ u,w) = v5. K(K(x,y) * (((x \ y) \ 1) * z),u) != w | K(T(x \ y,x) \ z,u) = w. a(K(x,y),z,z \ x) = 1. a(K(x * y,z),x,y) = 1. T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * 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). 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)). K(1 / x,y * x) = K(1 / x,x * y). 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 != K(y,(z \ 1) * ((u \ z) * u)) | K(y,K(z,u)) = x. K(a(x,y,z),K((x * y) * z,u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(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)). T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. 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)). 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)). 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 * 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 \ 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,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)). (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)). (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,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)). (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)). 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)). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) != v5 | T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)) = v5. 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)). 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 \ L(x,y,z),K(u * x,w)) != v5 | K(w,K(x * u,x \ L(x,y,z))) = v5. 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))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). K(x,K((y * z) * u,u \ L(u,z,y))) != w | K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = w. 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 \ L(u,w,v5))) | K(y,K(z,a(v5,w,u))) = 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(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. 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,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),T(w,y * (z * u)))) != v5 | a(K(x,K(y,w)),z,u) = v5. 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))). 1 = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. K(x,a(y,z,u)) * 1 = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. K(x,a(y,z,u)) = K(x,((y * z) * u) / (y * (z * u))). 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)). R(a(K(x,y),z,u),w,v5) != v6 | a(K(x,R(y,w,v5)),z,u) = v6. a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). a(K(x,R(y,R(y,z,u),w)),z * y,u) != v5 | a(K(x,y),z * y,u) = v5. a(K(x,y),z * y,u) = K(x,a(y,z,u)). x != K(y,a(z,u,w)) | K(y,y * a(z,u,w)) = x. K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,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,K(z,u)) = a(K(z,x),y,u). a(K(x,y),z,u) = a(y,z,K(x,u)). a(K(x,y),y,z) != u | 1 = u. 1 = a(x,x,K(y,z)). a(x,x,K(y,z)) = 1. (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,x * y),z,u) != w | a(K(x,y),a(x,y,x) \ z,u) = w. a(K(x,y),a(x,y,x) \ z,u) = a(x,z,K(u,x * y)). a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(z,y,K(u,x)). a(x,y,K(z,u)) = a(u,y,K(x,z)). a(K(x * y,z),x,y) != u | 1 = u. 1 = a(x * y,x,K(y,z)). a(x * y,x,K(y,z)) = 1. ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). a(K(x,y),z,u) = a(x,z,K(u,L(y,x,w))). a(x,y,K(z,L(u,x,w))) = a(K(x,u),y,z). a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),w,K(v5,u)). ((K(x,y) / (z * u)) * z) / a(x,(z * u) \ 1,K(z,y)) = K(x,y) / L(u,z,z \ 1). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | K(u,a(y,z,w)) = x. K(x,a(y,z,u)) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | (v5 * a(y,z,K(w,u))) \ v5 = x. (x * a(y,z,K(u,w))) \ x = a(w,z,K(u,y)). x != a(y,z,K(u \ w,v5)) | a(y,z,K(v5,w \ u)) = x. a(x,y,K(z,u \ w)) = a(w \ u,y,K(z,x)). a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. K(x,a(y,z,u)) = a(u,z,K(y,x)). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. a(x,y,K(z \ u,w)) = a(u \ z,y,K(x,w)). a(x \ y,z,K(u,w)) = a(u,z,K(y \ x,w)). a(x,y,K(z,u)) != w | a(x,y,K(u \ 1,z)) = w. a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. a(x,y * z,K(u,z)) = a(z,y,K(x,u)). a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,u)) = a(z,y,K(x,u \ 1)). a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). K(x,(y * z) \ u) * a(x,z,K(z \ (y \ u),y)) = K(x,z \ (y \ u)). K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). x * a(x,y,K(z,u)) = T(x,a(z,y,u) \ x). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. a(x,y,1) = a(z,y,K(x,a(u,z,w))). a(x,y,K(z,a(u,x,w))) = a(z,y,1). x * a(x,y,K(z,u)) = T(x,a(u,y,z)). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y * x,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u \ y)) = a(u \ y,u,K(x,z)). a(x \ y,x,K(z,u)) = a(z,y,K(u,x \ y)). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. a(x,y,K(z,L(u,x,w))) != v5 | a(x,y,K(z,u)) = v5. a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,z \ (y \ x))). a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. a(x \ y,z,K(u,w)) != v5 | a(u,z,K(y \ x,w)) = v5. a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. a(x,y,K(z \ 1,u)) != w | a(z,y,K(x,u)) = w. a(x,y,K(z,u \ (x \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. x \ (a(y,z,K(x,u)) * w) = T(x,a(u,z,y)) \ w. K(x,a(y,z,u) \ 1) = a(x \ 1,z,K(u,y)). K(x,a(y,z,u)) != w | K(x,L(u,z,y) \ u) = w. K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). (x * a(y,z,u)) / x = a(y,z,u) * a(x,z,K(u,y)). (x * y) * a(x,z,K(u,w)) = x * (y * K(x,a(w,z,u))). x * ((y * ((x * y) \ 1)) * a(z,y \ 1,K(x \ 1,y))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. K(x,K(y,a(z,u,w))) = a(y,u,K(x,K(w,z))). (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). (x * a(y,z,K(u,x))) \ w = a(x,z,K(u,y)) * (x \ w). (x * a(y,z,K(u,w))) \ 1 = a(w,z,K(u,y)) * (x \ 1). a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(y,z,K(x,z \ u)) = w. x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. K(x,x * y) * z != u | K(x,y) * (a(x,y,x) \ z) = u. K(x,y) * (a(x,y,x) \ K(x * y,L(x,z,u))) = a(x * y,z,K(u,x)). a(x,y,K(z,u)) != w | K(L(z,y,x) \ z,u) = w. K(L(x,y,z) \ x,u \ 1) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(z \ 1,y,K(x,u)). a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). a(a(x \ 1,x,y),z,K(u,w)) = a(u,z,K(y \ L(y,x,x \ 1),w)). a(x,y,K(z \ L(z,u,u \ 1),w)) = a(a(u \ 1,u,z),y,K(x,w)). K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,z \ 1)). x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ 1)). K(x,(y * z) \ u) * a(x,w,K(z \ (y \ u),y)) = K(x,L((y * z) \ u,w,y \ 1)). K(x,y) * 1 = K(x,L(y,L(z,u,w),z \ 1)). K(x,L(y,L(z,u,w),z \ 1)) = K(x,y) * 1. K(x,(y * z) \ u) * a(x,z,K(z \ (y \ u),y)) != w | K(x,z \ (y \ u)) = w. K(x,y \ (z \ u)) = K(x,L((z * y) \ u,y,z \ 1)). K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). K(x,T(L((y * z) \ u,z,y \ 1),w)) = K((x \ w) \ w,z \ (y \ u)). K((x \ y) \ y,z \ (u \ w)) = K(x,T(L((u * z) \ w,z,u \ 1),y)). K(x,L(y,z,u \ 1)) = K(x,z \ (u \ ((u * z) * y))). K(x,y \ (z \ ((z * y) * u))) = K(x,L(u,y,z \ 1)). K(x,L((y \ z) \ u,T(z,y \ 1),(z \ (y \ z)) \ 1)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). K(x,L((L(y,z,u) \ y) \ w,y,(L(y,z,u) \ 1) \ 1)) = K(x,y \ ((L(y,z,u) \ 1) \ w)). K(x,L(((y * z) \ 1) \ u,y \ 1,(z \ 1) \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). K(x,L((y / (z * u)) \ w,K(u,z),(y / (u * z)) \ 1)) = K(x,K(u,z) \ ((y / (u * z)) \ w)). x * a(x,y,K(z,u / w)) = T(x,a(u * (w \ 1),y,z)). T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,y / z)). K(x,y) * L(a(x,y,x) \ K(x * y,x),z,u) = a(x * y,z,K(u,x)). K(x,y) * L(K(y,x),z,u) = a(x * y,z,K(u,x)). K(x,y) * K(y,L(x,z,u)) = a(x * y,z,K(u,x)). a(x,y,K(z,u)) = a(u * x,y,K(z,u)). a(x * y,z,K(u,x)) = a(y,z,K(u,x)). a(x,a(y,z,y) \ u,w) != v5 | a(x,u,w) = v5. a(K(x,y),z,u) = a(x,z,K(u,x * y)). a(x,y,K(z,x * u)) = a(K(x,u),y,z). x != a(K(y,z),u,w) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y,K(z,x * u)). a(x,y,K(z,x * u)) = a(x,y,K(z,u)). K(x \ L(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). x != a(y,z,K(z \ 1,u)) | 1 = x. 1 = K(x \ L(x,y,y \ 1),z). K(x \ L(x,y,y \ 1),z) = 1. a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ L(x,y,z),u). K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) != v6 | a(L(y,z,u),w,K(v5,x)) = v6. a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. x != K(y,L(z,u \ w,u)) | K(y,L(z,w / u,u)) = x. K(x,L(y,z / u,u)) = a(x,u \ z,K(u,y)) * K(x,y). a(x,y \ z,K(y,u)) * K(x,u) = K(x,L(u,z / y,y)). x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = a(x,z,K(u,y)) * K(x,y). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). x * (a(y,z,K((z * K(u,y)) \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,(z \ 1) \ u)). K(x,L(y,z / u,u)) != w | K(x,L(y,u \ z,u)) = w. a(x,y,K(z,z \ (u \ w))) * K(z,x) = K(z,L(x,y,(u * z) \ w)). a(x,y,K(z,L(u,w,v5) \ 1)) * K(z,x) = K(z,L(x,y,L(u \ 1,w,v5))). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,x * u)). K(x,L(y,z,L(u,w,v5) \ 1)) = K(x,L(y,z,L(u \ 1,w,v5))). (x * y) * a(z,u,K(w,y)) = x * T(y,a(w,u,z)). K(x,K(y,a(z,u,w))) = a(w,u,K(x,K(z,y))). K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(v5,w,u) \ 1)). K(x,y) * a(x,z,K(u,y \ 1)) = K(x,L(y,z,u \ 1)). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(u,w,v5))). K(x,y) * a(x,z,a(u,w,K(v5,y))) != v6 | K(x,L(y,z,a(v5,w,u) \ 1)) = v6. K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). x != a(y,z,K(u,u \ w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u \ w)) = a(w \ (u * z),y,K(z,x)). a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,y \ x)). K(x,L(y,z,u * w)) = K(x,L(y,z,(u \ 1) \ w)). K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,u * w)). K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,u * w)) = v5. a(x,y,K(z,u)) != w | a(u * x,y,K(z,u)) = w. a(x * (y * z),y,K(z,x)) = 1. ((x * y) * z) / (x * (y * z)) = a(x,y,z) * a(x * (y * z),y,K(z,x)). a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y \ 1)) = K(x,L(y,z,(K(v6,v5) * w) * (u \ 1))). a(x,y,K(z,u \ 1)) != w | a(z,y,K(x,u)) = w. a(x,y,K(z,u \ (w \ 1))) != v5 | a(z,y,K(x,w * u)) = v5. K(x,L(y,z,u \ w)) = K(x,L(y,z,(u \ 1) * w)). K(x,L(y,z,(u \ 1) * w)) = K(x,L(y,z,u \ w)). K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,w * (u \ 1))). x * K(y,L(z,u \ 1,u * x)) = (x / (u \ 1)) * ((u \ 1) * K(y,z)). (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,y * x)). K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,(K(v5,w) / u) * v6)). K(x,L(y,z,(u \ K(u,w)) * v5)) = K(x,L(y,z,(u * K(w,u)) \ v5)). K(x,L(y,z,(u * K(w,u)) \ v5)) = K(x,L(y,z,(u \ K(u,w)) * v5)). K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,w \ (w * u))). K(x,L(y,z,(u * w) \ 1)) = K(x,L(y,z,w \ (u \ 1))). K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ a(w,v5,w))). K(x,L(y,z,u \ a(w,v5,w))) = K(x,L(y,z,u \ 1)). K(x,L(y,z,(u * w) \ a(v5,v6,v5))) = K(x,L(y,z,(a(v5,v6,v5) \ w) \ (u \ 1))). K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ a(u,w,u))). K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,1 / z)). 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)). 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(x,R(x * (y / T(1 / (1 / x),z)),u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(y,z,u)) = T(x,L((y / T(1 / (1 / x),w)) * x,z,u)). 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 != T(y,L(z,u,u \ 1)) | T(y,z) = x. T(x,y) = T(x,R(y,z,z \ 1)). T(x,R(y,z,z \ 1)) = T(x,y). R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). x / T(x,L(y,z,u)) = K(R(y,z,u),x). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) != u | ((y * z) * x) * a(x,y,z) = u. ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). x * y != R(z,u,w) * T(u * w,z) | x \ ((u * w) * R(z,u,w)) = y. ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). L(x \ R(x,y,z),x,y * z) = a(x,y,z). L(x \ R(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). K(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). x != K(L(y,z,z \ 1),u) | K(y,u) = x. K(x,y) = K(R(x,z,z \ 1),y). K(R(x,y,y \ 1),z) = K(x,z). K(x,L(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,L(u,y,z)). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). K(x / (y * z),u) = K(L((x / z) / y,y,z),u). K(L((x / y) / z,z,y),u) = K(x / (z * y),u). K(x / (K(y,z) * u),w) = K(L((x / u) * K(z,y),K(y,z),u),w). K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(u,z) * y),w). K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. K(R(x,y,z),u) != w | K(x,L(u,y,z)) = w. a(K(L(x,y,z),u),w,v5) = a(R(x,y,z),w,K(v5,u)). R(K(x,y),z,u) = K(x,L(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). K((x * y) \ (z * T(x,y)),u) = K(z / y,L(T(u,x * y),y,x)). K(x / y,L(T(z,u * y),y,u)) = K((u * y) \ (x * T(u,y)),z). K((x * y) \ (z * y),u) = K(z / x,L(T(u,z * y),x,y)). K(x / y,L(T(z,x * u),y,u)) = K((y * u) \ (x * u),z). K(R(x,T(y,x),z),T(u,y * z)) != w | K((T(y,x) * z) \ ((y * x) * z),u) = w. K((T(x,y) * z) \ ((x * y) * z),u) = K(y,L(T(u,x * z),T(x,y),z)). K((x * y) / ((z \ x) * y),u) = K(z,L(u,z \ x,y)). K(x / (y * z),u) = K((x / z) / y,L(u,y,z)). K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). K(x,L(y,z,u)) * K(y,y \ R(x,z,u)) = a(y,y \ R(x,z,u),y). K((x * y) * T(z,y),u) * K(z * y,K(x,L(u,y,z))) = K((z * y) * R(x,y,z),u). x != K(y,L(z \ 1,u,w)) | K(y,L(z,u,w) \ 1) = x. K(x,L(y,z,u) \ 1) = R(K(x,y \ 1),z,u). R(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) = L(K(x,y),z,u). R(K(x,y),z,u) != w | K(x,(z * u) / ((y \ z) * u)) = w. K(x,(y * z) / ((u \ y) * z)) = K(x,L(u,y,z)). R(K(x,y),z,u) != w | (z * u) / ((K(y,x) * z) * u) = w. (x * y) / ((K(z,u) * x) * y) = K(u,L(z,x,y)). (x * y) \ ((x * K(z,u)) * y) = K(z,L(T(T(u,x),x * y),x,y)). K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). R(K(x,x \ R(y,z,u)),(x \ R(y,z,u)) * x,z * u) != w | ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)) = w. ((x * y) * z) / (((u \ R(x,y,z)) * u) * (y * z)) = K(u,L(u \ R(x,y,z),(u \ R(x,y,z)) * u,y * z)). K(x,L(x \ R(y,z,u),(x \ R(y,z,u)) * x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. K(x,L(y,z,u)) * (z * u) != w | (K(x,y) * z) * u = w. K(x,L(y,z / u,u)) * z = (K(x,y) * (z / u)) * u. K(x,L(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u). K(x,L(y,z,z \ u)) * u != w | (K(x,y) * z) * (z \ u) = w. K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). x != (y * (z * u)) * a(y,z,u) | (y * z) * u = x. (K(x,y) * z) * u = K(x,L(y,z * u,a(K(x,y),z,u))) * ((z * u) * a(K(x,y),z,u)). K(x,L(y,z * u,a(K(x,y),z,u))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. (K(x,y) * z) * (z \ u) != w | K(x,L(y,z,z \ u)) * u = w. K(x,L(y,K(z,u),u \ w)) * (T(u,z) \ w) = (K(x,y) * K(z,u)) * (u \ w). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. K(x,L(y,z,u)) * ((x \ z) * u) = (K(x,y) * (x \ z)) * u. (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,x,a(y,z,z \ 1))). (x * y) / ((x * K(z,u)) * y) = K(u,L(T(z,x),x,y)). ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,x * y,z)). (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(T(u,a(y,z,z \ 1)),a(y,z,z \ 1),x)). (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(u,a(y,z,z \ 1),x)). K(x,L(y,z,u)) = K(x,L(y,z \ 1,u \ 1)). K(x,L(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). K(T(x,y),R(z,y,u)) != w | K(x,((y * z) * u) / (y * u)) = w. K(x,((y * z) * u) / (y * u)) = K(T(x,y),L(z,y,u)). K(x,R(L(y,z,u),w,v5)) = K(x,L(L(y,w,v5),z,u)). K(x,(y * z) / (u * z)) = K(x,L(y / u,u,z)). K(x,L(y / z,z,u)) = K(x,(y * u) / (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,L(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. a(x,y,K(z,L(u,w,v5))) * K(z,x) = K(z,L(x,y,R(u,w,v5))). K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,R(u,w,v5))). K(x,L(y,z,R(u,w,v5))) = K(x,L(y,z,L(u,w,v5))). K(x,L(y,z,R(u,w,v5))) != v6 | K(x,L(y,z,L(u,w,v5))) = v6. ((x * y) * K(z,u)) * K(u,L(z,y,L(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. K(x,L(y,z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z) \ 1,x)) != v5 | K(((L(x,y,z) \ 1) * x) \ u,w) = v5. K(((L(x,y,z) \ 1) * x) \ u,w) = K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z),x \ 1)). K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z),x \ 1)) = K(((L(x,y,z) \ 1) * x) \ u,w). K(x,R(y * z,u,w)) = K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)). K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) = K(x,R(y * z,u,w)). (L(x,y,z) \ x) * K(u,L(w,L(x,y,z),x \ 1)) = x * ((L(x,y,z) \ 1) * K(u,w)). K(x,y) * K(y,L(x,z,u \ 1)) = a(y,z \ 1,K(u,x)). a(x,y,K(z \ 1,u)) = a(x,y \ 1,K(z,u)). a(x,y \ 1,K(z,u)) = a(x,y,K(z \ 1,u)). x != a(y,z,K(u \ 1,w)) | a(u,z,K(y,w)) = x. a(x,y,K(z,u)) = a(z,y \ 1,K(x,u)). a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). a(x,K(y,z) * u,K(w,v5)) = a(w,u \ K(z,y),K(x,v5)). a(x,y \ K(z,u),K(w,v5)) = a(w,K(u,z) * y,K(x,v5)). (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). L(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). K(x,L(y / T(z / u,w),T(z / u,w),u)) = K(x,(y * u) / (u * T(u \ z,w))). K(x,L(y / z,z,u)) * (z * u) = (z * u) * K(x,(z * u) \ (y * u)). (K(x,y / z) * z) * u = (z * u) * K(x,(z * u) \ (y * u)). (x * y) * K(z,(x * y) \ (u * y)) = (K(z,u / x) * x) * y. (x * y) * K(z,(x * y) \ (u * y)) = (x * K(z,x \ u)) * y. (K(x,T(y,z)) * u) * (u \ z) = (z / u) * (u * K(x,y)). (K(x,y) * z) * (z \ u) = (u / z) * (z * K(x,T(y,u))). (x / y) * (y * K(z,T(u,x))) = (K(z,u) * y) * (y \ x). K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. K(x,L(T(y,z * u),z,u)) = K(((x \ z) * u) \ (z * u),y). K(((x \ y) * z) \ (y * z),u) = K(x,L(T(u,y * z),y,z)). (x * y) * K(z / (y * x),u) = x * (y * K((z / x) / y,u)). K((x / y) * a(z,u,K(w,v5)),L(v6,a(v5,u,K(w,z)),y)) = K(x / (a(v5,u,K(w,z)) * y),v6). K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). K(((x * K(y,z)) * u) \ x,T(w,u)) = K((K(z,y) * (x * K(y,z))) / (u * (x * K(y,z))),w). K((K(x,x \ y) * y) \ z,T(u,y)) = K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u). K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((K(x,x \ y) * y) \ z,T(u,y)). K((K(x,y) * z) * (u \ 1),T(w,z \ K(y,x))) = K(((u \ 1) * u) / ((z \ K(y,x)) * u),w). K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y \ K(z,u))). a(L(x,y,z),u,K(w,v5)) = a(R(x,y,z),u,K(w,v5)). a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). K(((x * K(y,z)) * u) \ x,T(w,u)) = K(T(x,K(y,z)) / (u * (x * K(y,z))),w). K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * u) * K(x,((y \ z) * u) \ (z * u)). ((x \ y) * z) * K(u,((x \ y) * z) \ (y * z)) = K(u,L(x,y,z)) * ((x \ y) * z). (x * y) * K(z,(x * y) \ (u * y)) != w | (x * K(z,x \ u)) * y = w. ((x \ y) * K(z,(x \ y) \ y)) * u = K(z,L(x,y,u)) * ((x \ y) * u). K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,(y \ z) \ z)) * u. K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,T(y,z))) * u. K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. K(x,L(y,z,u)) * ((y \ z) * u) != w | T(R(y,y \ z,u),x) \ (z * u) = w. T(R(x,x \ y,z),u) \ (y * z) = (T(x,u) \ y) * z. K(x,T(y,z)) * ((T(y,z) \ y) * u) = (T(T(y,z),x) \ y) * u. ((K(x,y) * z) * (z \ (u \ 1))) \ 1 = u * (K(x,L(y,z,z \ (u \ 1))) \ 1). x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = ((K(y,z) * u) * (u \ (x \ 1))) \ 1. K(x,L(y,z \ 1,z * u)) * u = (K(x,y) * (z \ 1)) * ((z \ 1) \ u). a(a(x,y,K(z,u)),w,v5) != v6 | a(a(x,y,z),w,K(v5,u)) = v6. a(a(x,y,z),u,K(w,v5)) = a(x,u,K(w,a(v5,y,z))). a(a(x,y,z),u,K(w,v5)) = a(x,u,a(w,y,K(z,v5))). K(x,y) * a(z,u,a(x,w,K(v5,y))) = K(x,L(y,u,1 / a(z,w,v5))). x != a(a(y,z,u),w,K(v5,v6)) | a(y,w,a(v5,z,K(u,v6))) = x. a(x \ 1,y,a(z,x,K(u,w))) = a(z,y,K(u \ L(u,x,x \ 1),w)). a(x,y,K(z \ L(z,u,u \ 1),w)) = a(u \ 1,y,a(x,u,K(z,w))). a(x,y,1) = a(z \ 1,y,a(x,z,K(u,w))). a(x \ 1,y,a(z,x,K(u,w))) = a(z,y,1). x != a(y,z,1) | 1 = x. 1 = a(x \ 1,y,a(z,x,K(u,w))). a(x \ 1,y,a(z,x,K(u,w))) = 1. K(x,y) * 1 = K(x,L(y,z,1 / a(u \ 1,u,w))). K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y) * 1. K(x,y) = K(x,L(y,z,1 / a(u \ 1,u,w))). K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y). K(x,L(y,z,a(u \ 1,u,w) \ 1)) = K(x,y). K(x,L(y,z,a(u \ 1,u,w))) = K(x,y). K(x,L(y,z,a(u,w,v5) \ 1)) != v6 | K(x,L(y,z,a(v5,w,u))) = v6. K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). K(x,L(y,z,a(u,w,w \ 1))) != v5 | (z * a(u,w,w \ 1)) / (a(u,w,w \ 1) * (K(y,x) * z)) = v5. (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,u). (x / (y \ 1)) * (y \ K(z,u)) = x * K(z,L(u,y \ 1,y * x)). x * K(y,L(z,u \ 1,u * x)) = (x / (u \ 1)) * (u \ K(y,z)). K(x * K(y / (z * u),x),w) = K(x,T(w,L((y / u) / z,z,u))). K(L((x * a(y,z,K(u,w))) / v5,v5,a(w,z,K(u,y))),v6) = K(x / (v5 * a(w,z,K(u,y))),v6). x != a(y \ 1,z,K(u,w)) | a(u,z,K(y,w)) = x. a(x,y,K(z,u)) = K(z,a(u,y,x) \ 1). K(x,a(y,z,u) \ 1) = a(u,z,K(x,y)). K(x,a(y,z,u) \ 1) != w | K(x,u \ L(u,z,y)) = w. K(x,y \ L(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) * (z \ K(w,v5)) = T(z \ 1,a(u,y,x)) * K(w,v5). T(x \ 1,a(y,z,u)) * K(w,v5) = a(u,z,K(x,y)) * (x \ K(w,v5)). x * K(y,L(z,x,u \ 1)) = u \ ((u * x) * K(y,z)). x \ ((x * y) * K(z,u)) = y * K(z,L(u,y,x \ 1)). x \ (y * K(z,u)) = (x \ y) * K(z,L(u,x \ y,x \ 1)). (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). T(x,(y * K(z,L(u,y,w \ 1))) \ 1) = T(x,((w * y) * K(z,u)) \ w). T(x,((y * z) * K(u,w)) \ y) = T(x,(z * K(u,L(w,z,y \ 1))) \ 1). (x * y) \ ((x * K(z,u)) * y) != w | K(z,L(T(T(u,x),x * y),x,y)) = w. x != (y * (z \ (u \ 1))) \ 1 | (u / (z \ 1)) * (y \ 1) = x. (x / (y \ 1)) * ((K(z,u) * y) \ 1) = x * (K(z,L(u,y,y \ (x \ 1))) \ 1). x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((K(y,z) * u) \ 1). x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((u \ 1) * K(z,y)). x * K(y,L(z,u,u \ (x \ 1))) = (x / (u \ 1)) * ((u \ 1) * K(y,z)). (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y,y \ (x \ 1))). (x / (y \ 1)) * (y \ K(z,u)) = x * K(z,L(u,y,y \ (x \ 1))). x * K(y,L(z,u,u \ (x \ 1))) = (x / (u \ 1)) * (u \ K(y,z)). (x * (y \ 1)) * K(z,L(u,y,y \ ((x * (y \ 1)) \ 1))) = x * (y \ K(z,u)). (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((x \ K(y,z)) / (v5 \ 1)) * (v5 \ K(u,w)). (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((v5 \ (K(z,y) * x)) \ 1) * (v5 \ K(u,w)). (x * (y \ 1)) * K(z,L(u,y,y \ (y * (x \ 1)))) = x * (y \ K(z,u)). (x * (y \ 1)) * K(z,L(u,y,x \ 1)) = x * (y \ K(z,u)). x * (a(y,z,K(z \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. x * K(y,L(z,u,u \ x)) = (x / (u * K(z,y))) * u. (x / y) * (y * K(z,u)) = (x / (y * K(u,z))) * y. (x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)). (x / (y * T(z,u))) * (y * z) = (x / (y * z)) * ((y * z) * K(u,z)). (x / (y * z)) * ((y * z) * K(u,z)) = (x / (y * T(z,u))) * (y * z). ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,z \ x,y)) = w. K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z \ 1,z * u)) * u = (K(x,y) / z) * ((z \ 1) \ u). K(x,L((L(y,z,u) \ y) \ w,y,L(y,z,u))) = K(x,y \ ((L(y,z,u) \ 1) \ w)). K(x,L(R(y,z,u),w,v5)) = K(x,L(L(y,z,u),w,v5)). K(x,L(R(y,z,u),z * u,w)) != v5 | K(x,L(R(y,z,u),(y * z) * u,w)) = v5. K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). K(x,L(y,z,K(u,w) * (u \ v5))) = K(x,L(y,z,(u \ K(u,w)) * v5)). K(x,L(y,z,(u \ K(u,w)) * v5)) = K(x,L(y,z,K(u,w) * (u \ v5))). 1 = a(x,y,K(z,a(u,x,w))). a(x,y,K(z,a(u,x,w))) = 1. a(x,y,K(z,u)) != w | K(u,a(z,y,x)) = w. K(a(x,y,z),a(u,w,y)) = 1. T(a(x,y,z),a(u,w,y)) = a(x,y,z). (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). a(x,y,K(z,u \ (x * w))) = a(x,y,K(z,(x \ u) \ w)). a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). K(x,y \ (z * u)) * a(z,u,K(x,y \ (z * u))) = K(x,(u \ (z \ y)) \ 1). K(x,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. K(x,L(y \ (z * u),u,z \ 1)) = K(x,(u \ (z \ y)) \ 1). K(x,L(y \ (z * u),u,z \ 1)) != w | K(x,(z \ y) \ u) = w. 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). R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. K(x,(y * z) / (u * z)) = L(K(x,y / u),y,z). L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). (K(x,T(y,z * u)) * z) * u = (z * u) * L(K(x,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(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). (K(x,y) * x) \ T(R(x,z,z \ 1),y) = L(a(x,z,z \ 1),x,K(R(x,z,z \ 1),y)). L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = (K(x,z) * x) \ T(R(x,y,y \ 1),z). L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ T(R(x,y,y \ 1),z). L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ R(T(x,z),y,y \ 1). x != y \ R(y,z,z \ 1) | a(y,z,z \ 1) = x. a(T(x,y),z,z \ 1) = L(a(x,z,z \ 1),x,K(R(x,z,z \ 1),y)). L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = a(T(x,z),y,y \ 1). L(a(x,y,y \ 1),x,K(x,L(z,y,y \ 1))) = a(T(x,z),y,y \ 1). a(x,y,y \ 1) = a(T(x,z),y,y \ 1). a(T(x,y),z,z \ 1) = a(x,z,z \ 1). a(T(x,y),z \ 1,z) = a(x,z \ 1,(z \ 1) \ 1). a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). a(R(T(x,y),z,u),w,w \ 1) = a(R(x,z,u),w,w \ 1). a(x \ y,z,z \ 1) = a(y / x,z,z \ 1). a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). a(R(x \ y,x,z),u,u \ 1) = a((y * z) / (x * z),u,u \ 1). (T(x,y) / y) * a(T(y,x) \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). 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,(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,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. K(x,L(y,z \ K(u,w),v5 \ 1)) != v6 | K(x,L(y,K(w,u) * z,v5)) = v6. K(x,y) = K(x,L(y,L(z,u,w),z \ 1)). K(x,L(y,L(z,u,w),z \ 1)) = K(x,y). K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z),x \ 1)) != v5 | K(((L(x,y,z) \ 1) * x) \ u,w) = v5. K(((L(x,y,z) \ 1) * x) \ u,w) = K((L(x,y,z) \ 1) \ (x \ u),w). K(L(x,y,z) * (x \ u),w) = K(((L(x,y,z) \ 1) * x) \ u,w). K(((L(x,y,z) \ 1) * x) \ u,w) = K(L(x,y,z) * (x \ u),w). K((L(x,y,z) \ x) \ u,w) = K(L(x,y,z) * (x \ u),w). K(a(x \ 1,x,y) \ z,u) = K(L(y,x,x \ 1) * (y \ z),u). K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). (L(x,y,z) \ x) * K(u,w) = x * ((L(x,y,z) \ 1) * K(u,w)). x * ((L(x,y,z) \ 1) * K(u,w)) = (L(x,y,z) \ x) * K(u,w). x * (L(x,y,z) \ K(u,w)) = (L(x,y,z) \ x) * K(u,w). (L(x,y,z) \ x) * K(u,w) = x * (L(x,y,z) \ K(u,w)). a(x,x \ 1,y) * K(z,u) = y * (L(y,x \ 1,x) \ K(z,u)). x * (L(x,y \ 1,y) \ K(z,u)) = a(y,y \ 1,x) * K(z,u). T(x,((y * z) * K(u,w)) \ y) = T(x,K(L(w,z,y \ 1),u) / z). T(x,((y * z) * K(u,w)) \ y) = T(x,K(w,L(u,z,y \ 1)) / z). K(x,L(x \ R(y,z,u),x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). K(x,x \ R(y,z,u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). ((x * y) * z) / (((u \ R(x,y,z)) * u) * (y * z)) = K(u,u \ R(x,y,z)). ((x * y) * z) / (R((u \ x) * u,y,z) * (y * z)) = K(u,u \ R(x,y,z)). ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,u \ R(x,y,z)). K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,u)). K((x * y) \ (z * y),u) = K(z / x,L(T(u,z * y),z,y)). K(x / y,L(T(z,x * u),x,u)) = K((y * u) \ (x * u),z). x != a(y,z,(u \ 1) \ 1) | a(y,z,u) = x. a(x,y \ 1,y) = a(T(x,z),y \ 1,y). a(T(x,y),z \ 1,z) = a(x,z \ 1,z). a(x \ y,z \ 1,z) = a(y / x,z \ 1,z). a(x / y,z \ 1,z) = a(y \ x,z \ 1,z). a(x \ 1,x,(y / z) \ 1) = a(z \ y,x \ 1,x). a(x \ 1,x,y \ (z \ 1)) = a((y \ 1) \ z,x \ 1,x). a((x \ 1) \ y,z \ 1,z) = a(z \ 1,z,x \ (y \ 1)). x * y != ((z * u) * w) * K(u * w,z) | ((u * w) * R(z,u,w)) / y = x. ((x * y) * R(z,x,y)) / z = ((z * x) * y) / T(z,x * y). ((x * y) * z) / T(x,y * z) = ((y * z) * R(x,y,z)) / x. K((x \ y) \ y,z \ (u \ w)) = K(x,L(T((u * z) \ w,y),z,u \ 1)). K(x,L(T((y * z) \ u,w),z,y \ 1)) != v5 | K(x,T(z \ (y \ u),w)) = v5. K(x,L(R(y,z,u),w,v5)) != v6 | K(x,L(L(y,z,u),w,v5)) = v6. K(x,L(L(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). K(x,L(y,(y * x) * z,u)) = K(x,L(L(y,x,z),x * z,u)). K(x,L(L(y,x,z),x * z,u)) = K(x,L(y,(y * x) * z,u)). K(x,L(y,x * z,u)) != w | K(x,L(y,z,u)) = w. K(x,L(L(y,x,z),z,u)) = K(x,L(y,(y * x) * z,u)). K(x,L(y,(y * x) * z,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z * u,a(x,z,K(u,y)))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. K(x,L(((y * z) \ 1) \ u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,w * ((u * w) \ 1))). K(x,L(y,z,u * ((w * u) \ 1))) = K(x,L(y,z,w \ 1)). R(K(x,y \ 1),z,u) != w | K(x,R(y,z,u) \ 1) = w. 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). 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))). x != K(y,((z \ u) * z) \ w) | K(y,T(u,z) \ w) = x. K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / (z * (z \ y)),u / (z \ y))). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). x != a(y / z,u,u \ 1) | a(z \ y,u,u \ 1) = x. a((x * y) \ (z * y),u,u \ 1) = a(R(x \ z,x,y),u,u \ 1). a(R(x \ y,x,z),u,u \ 1) = a((x * z) \ (y * z),u,u \ 1). a(R(T(x,T(y,z)),z,u),w,w \ 1) = a((z * u) \ ((K(x,y) * (z * x)) * u),w,w \ 1). a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(T(z,T(u,x)),x,y),w,w \ 1). x != a(R(T(y,z),u,w),v5,v5 \ 1) | a(R(y,u,w),v5,v5 \ 1) = x. a(R(x,y,z),u,u \ 1) = a((y * z) \ ((K(x,w) * (y * x)) * z),u,u \ 1). a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(z,x,y),w,w \ 1). x * y != (z * x) * L(K(u,w),z,x) | T(K(u,T(w,z * x)) * z,x) = y. T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). K((T(x,y) * K(z,u)) \ 1,w) = K((K(z,T(u,x * y)) * x) \ 1,T(w,y)). K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K((T(z,u) * K(x,y)) \ 1,w). (x * (y * a(z,u,K(y,w)))) \ 1 = a(w,u,K(y,z)) * ((x * y) \ 1). K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,L(y * z,u,w)) = K(x,R((y \ 1) \ z,u,w)). K(x,R((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). K(x,L(((y * z) \ 1) \ u,y,z \ 1)) != w | K(x,(y \ 1) \ ((z \ 1) \ u)) = w. K(x,(y \ 1) \ ((z \ 1) \ u)) = K(x,L((y * z) * u,y,z \ 1)). K(x,L((y * z) * u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). x != K(y,(z \ 1) \ u) | K(y,z * u) = x. K(x,y * ((z \ 1) \ u)) = K(x,L((y * z) * u,y,z \ 1)). K(x,L((y * z) * u,y,z \ 1)) = K(x,y * ((z \ 1) \ u)). T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). 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). 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,z * y) = x * K(1 / y,y * z). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). x * ((y * ((x * y) \ 1)) * 1) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * ((y * ((x * y) \ 1)) * 1). T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). T((x * (y * ((x * y) \ 1))) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). T(((x * y) * (y \ 1)) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). T(R(x,y,y \ 1) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). T(x \ R(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). T(a(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). a(x,y,y \ 1) \ 1 = x * (y * ((x * y) \ 1)). x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. x * (y * ((x * y) \ 1)) != z | a(x * y,y \ 1,y) \ 1 = z. a(x * y,y \ 1,y) \ 1 = a(x,y,y \ 1) \ 1. a(x,y \ 1,y) \ 1 = a(x / y,y,y \ 1) \ 1. a(x / y,y,y \ 1) \ 1 = a(x,y \ 1,y) \ 1. a(x \ y,x,x \ 1) \ 1 = a(y,x \ 1,x) \ 1. a(x \ y,x,x \ 1) = a(y,x \ 1,x). a((x \ 1) \ y,x \ 1,(x \ 1) \ 1) \ 1 = a(y,x,x \ 1) \ 1. a((x \ 1) \ y,x \ 1,x) \ 1 = a(y,x,x \ 1) \ 1. a(x \ 1,x,x \ (y \ 1)) \ 1 = a(y,x,x \ 1) \ 1. a(x \ 1,x,x \ y) \ 1 = a(y \ 1,x,x \ 1) \ 1. a(x \ 1,y,y \ 1) \ 1 = a(y \ 1,y,y \ x) \ 1. a(x,x \ 1,y) \ 1 = a(x \ 1,x,x \ y) \ 1. a(x \ 1,x,x \ y) \ 1 = a(x,x \ 1,y) \ 1. a(x \ 1,x,x \ y) = a(x,x \ 1,y). a(x \ 1,x,x \ ((x \ 1) \ y)) != z | y \ (x \ ((x \ 1) \ y)) = z. x \ (y \ ((y \ 1) \ x)) = a(y,y \ 1,(y \ 1) \ x). a(x,x \ 1,(x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)). a(x \ 1,x,y) = a(x,x \ 1,x * y). a(x,x \ 1,x * y) = a(x \ 1,x,y). a((x * y) \ 1,x,x \ 1) = a(x \ 1,x,y). ((K(x,y) / (z * u)) * z) / a(z,z * u,K(x,y)) = K(x,y) / L(u,z,z \ 1). K(x,L(T(y,(z * x) * u),T(z,x),u)) = K((T(z,x) * u) \ ((z * x) * u),y). x != K((T(y,z) * u) \ ((y * z) * u),w) | K(z,L(T(w,y * u),T(y,z),u)) = x. K(x,L(T(y,z * u),T(z,x),u)) = K(x,L(T(y,(z * x) * u),T(z,x),u)). K(x,L(T(y,(z * x) * u),T(z,x),u)) = K(x,L(T(y,z * u),T(z,x),u)). K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),T(z,x),u)). K(x,L(T(y,z * u),z,u)) = K(x,L(T(y,(z * x) * u),z,u)). K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),z,u)). (K(x,L(T(y,z * u),z,u)) * w) \ w = K(L(T(y,(z * x) * u),z,u),T(x,w)). K(L(T(x,(y * z) * u),y,u),T(z,w)) = (K(z,L(T(x,y * u),y,u)) * w) \ w. K(L(T(x,y * z),y,z),T(u,w)) = K(L(T(x,(y * u) * z),y,z),T(u,w)). K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(L(T(x,y * u),y,u),T(z,w)). K(T(x,y * z),L(T(u,w),y,z)) = K(L(T(x,(y * u) * z),y,z),T(u,w)). K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(T(x,y * u),L(T(z,w),y,u)). K(x,T(L(T(y,z),u,w),u * w)) = K(L(T(x,(u * y) * w),u,w),T(y,z)). K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,T(L(T(z,w),y,u),y * u)). K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,L(T(T(z,w),y * u),y,u)). K(T(x,(y * z) * u),L(T(z,w),y,u)) = K(x,L(T(T(z,w),y * u),y,u)). K(x,T(L(T(y,z),u,w),(u * y) * w)) = K(x,L(T(T(y,z),u * w),u,w)). K(x,L(T(T(y,z),(u * y) * w),u,w)) = K(x,L(T(T(y,z),u * w),u,w)). K(x,L((y \ z) / T(u / K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). K(x,L((y \ z) / T(u * K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). K((x * y) * T(z,y),u) * K(x,K(z * y,L(u,y,z))) = K((z * y) * R(x,y,z),u). K((x * y) * T(z,y),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). K(x * (y * T(y \ (x \ z),y)),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). K(x * ((y \ (x \ z)) * y),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). K(x,T(y,z)) * (K(z,y) * u) = (T(T(y,z),x) \ y) * u. T(T(x,y),z) \ (x * u) = (T(T(x,y),z) \ x) * u. K(x,T(y,z / (u * w))) = K(x,T(y,L((z / w) / u,u,w))). K(x,T(y,L((z / u) / w,w,u))) = K(x,T(y,z / (w * u))). K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((x * (y / x)) \ z,T(u,y)). K(T(x,K(y,y \ z)) / (y * (z / y)),u) = K((y * (z / y)) \ x,T(u,z)). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x \ y != T(x,z) \ (x \ u) | T(x,z) \ u = y. T(x,a(y,z,u)) \ w = a(u,z,K(x,y)) * (x \ w). a(x,y,K(z,u)) * (z \ w) = T(z,a(u,y,x)) \ w. a(x,y,K(z,u)) * (z \ K(w,v5)) != v6 | T(z \ 1,a(u,y,x)) * K(w,v5) = v6. T(x \ 1,a(y,z,u)) * K(w,v5) = T(x,a(y,z,u)) \ K(w,v5). x * K(y,z) != u \ K(y,z) | u \ 1 = x. T(x,a(y,z,u)) \ 1 = T(x \ 1,a(y,z,u)). K(x,L(y,z,x \ (u \ w))) = K(x,L(y,z,(u * x) \ w)). K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). (K(x,L(y,z,x \ (u \ w))) * v5) \ v5 = K(L(y,z,(u * x) \ w),T(x,v5)). (x / (y * z)) * ((y * z) * K(u,z)) != w | x * K(u,L(z,y,(y * z) \ x)) = w. x * K(y,L(z,u,(u * z) \ x)) = (x / (u * T(z,y))) * (u * z). K(x,L(y,z,(u * w) \ a(v5,v6,v5))) != v7 | K(x,L(y,z,(a(v5,v6,v5) \ w) \ (u \ 1))) = v7. K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ 1)). x != K(y,L(z,u,(w * v5) \ 1)) | K(y,L(z,u,v5 \ (w \ 1))) = x. K(x,L(y,z,u \ (w \ 1))) = K(x,L(y,z,(a(v5,v6,v5) \ u) \ (w \ 1))). K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,v5 \ (v6 \ 1))). K(x,L(y,z,u \ (a(w,v5,w) * (v6 \ 1)))) = K(x,L(y,z,u \ (v6 \ 1))). K(x,L(y,z,u \ (w \ a(v5,v6,v5)))) = K(x,L(y,z,u \ (w \ 1))). K(x,L(y,z,u)) = K(x,L(y,z,y * u)). K(x,L(y,z,y * u)) = K(x,L(y,z,u)). K(x,L(y,z,u)) = K(x,L(y,z,y \ u)). K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). K(L(x,y,z \ (u \ w)),T(z,v5)) = K(L(x,y,(u * z) \ w),T(z,v5)). K(L(x,y,(z * u) \ w),T(u,v5)) = K(L(x,y,u \ (z \ w)),T(u,v5)). K(x,L(T(y,z),u,y \ (w \ v5))) = K(L(x,u,(w * y) \ v5),T(y,z)). K(L(x,y,(z * u) \ w),T(u,v5)) = K(x,L(T(u,v5),y,u \ (z \ w))). K(x,L(T(y,z),u,(w * y) \ v5)) = K(x,L(T(y,z),u,y \ (w \ v5))). 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(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z \ 1,u)) = T(y,K(u,z \ 1) * x). x \ T(y * T(x,K(z,u \ w)),K(z,w \ u)) = T(y,K(w \ u,z) * x). x \ T(y * T(x,K(z,u / (w * ((v5 \ 1) * v6)))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z \ 1) * 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(y,z \ 1) * u). T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). T(x,K(y,z) * u) = T(x,K(y \ 1,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). K(x,K(y,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)). 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 \ K(z,u),w) * v5) = K(x,K(K(u,z) * y,w) * v5). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). (x * K(y,K(z,u) * w)) \ x = K(K(z,u \ 1) * w,y). K(x,K(y,(z \ (u \ 1)) * (w \ 1)) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). K(x,K(y,((z * u) / z) \ 1) * w) = K(x,K(y,T(u,z)) * w). K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(((u \ 1) \ z) * y,w) * v5). K(x,K(((y \ 1) / z) / u,w) * v5) = K(x,K(u * ((z \ 1) \ y),w) * v5). K(K(x,y) * z,u) = K(K(x,y \ 1) * z,u). K(K(x,y \ 1) * z,u) = K(K(x,y) * z,u). K(K(x,y \ 1) * z,u) != w | K(K(x,y) * z,u) = w. K(K(x,y \ 1) * (x \ z),u) != w | K(T(x \ 1,y) * z,u) = w. K(T(x \ 1,y) * z,u) = K(K(x,y) * (x \ z),u). K(K(x \ y,z) * u,w) = K(K(y \ x,z) * u,w). K(K(x,y \ (z \ 1)) * u,w) = K(K(x,z * y) * u,w). K(K(x \ ((y \ 1) \ z),u) * w,v5) = K(K(((z \ 1) / y) * x,u) * w,v5). K(K(x,L(y,z,u) \ 1) * (z * u),w) = K((K(x,y) * z) * u,w). K(K(((x \ 1) * y) * z,u) * w,v5) = K(K(z \ ((y \ 1) * x),u) * w,v5). K(K(x \ ((y \ 1) * z),u) * w,v5) = K(K(((z \ 1) * y) * x,u) * w,v5). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). K(K(x \ y,z) * u,w) != v5 | K(K(y \ x,z) * u,w) = v5. K(K(x,L(y \ 1,z,u)) * (z * u),w) = K((K(x,y) * z) * u,w). K((K(x,y \ 1) * z) * u,w) = K((K(x,y) * z) * u,w). K(x,K(y,(z \ (u \ 1)) / w) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). K(x,K(y,z / (z * u)) * w) = K(x,K(y,T(u,z)) * w). 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,(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,K(z,u) * x) = T(y * T(x,K(z,u)),K(z,u)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). T(x,K(y,z) * u) = T(x,K(z,y) * u). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). (K(x,y) * z) * T(u,K(y,x) * z) = u * (K(x,y) * z). 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(x,T(y,z) \ u) = T(x,K(y,z) * (y \ u)). T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). ((x * K(y,z)) * u) / T(x,K(z,y) * u) = ((K(y,z) * u) * R(x,K(y,z),u)) / x. K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. x != K(y,K(z,u) * w) | K(y,K(z,u \ 1) * w) = x. K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). x != K(y,K(z,z \ u) * w) | K(y,K(z,u) * w) = x. 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,T(y,z) * u) = K(x,K(z,y) * (y * u)). K(x,K(y,z) * (z * u)) = K(x,T(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,y \ (K(z,u) * w)) * K(x,K(y,K(u,z) * w)) = K(x,(K(z,u) * w) / y). K(x,(y * z) * u) = K(x,K(z,y) * ((z * y) * u)). K(x,K(y,z) * ((y * z) * u)) = K(x,(z * y) * u). K(x,(K(y,z) * u) * w) = K(x,K(L(z,u,w),y) * (u * w)). K(x,K(L(y,z,u),w) * (z * u)) = K(x,(K(w,y) * z) * u). K(x,((y * z) / y) \ u) = K(x,T(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,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). K(x,((y \ ((z \ 1) * y)) \ 1) \ u) = K(x,T(z,y \ 1) \ u). K(x,K(y,z \ 1) * u) != w | K(x,K(z,y) * u) = w. x != K(y,K(z,u) * w) | K(y,K(u,z) * w) = x. K(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). x != K(y,K(z,u) * w) | y \ T(y,K(u,z) * w) = x. x \ T(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). K(x,K(y,z) * u) = K(x,K(z,y * z) * u). K(x,K(y,z * y) * u) = K(x,K(z,y) * u). K(x,K(y \ z,y) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. K(x,(T(y \ 1,z) \ 1) \ u) = K(x,T(y,z \ 1) \ u). K(x,T(y \ 1,z) * u) = K(x,T(y,z \ 1) \ u). K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). K(x,(y * z) * u) * K(x,K(T(z,y) * y,u)) = K(x,u * (T(z,y) * y)). K(x,(y * z) * u) * K(x,K(y * z,u)) = K(x,u * (T(z,y) * y)). K(x,y * z) * K(x,K(y,z)) != u | K(x,z * y) = u. K(x,y * (z * u)) = K(x,y * (T(u,z) * z)). K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). K(x,y * (T(z,u \ (w * v5)) * (u \ T(v5 * w,v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). K(x,y * (K(z,y) * u)) = K(x,T(y,z) * 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,y) \ u) != w | K(x,K(y,z) * (((y \ z) \ 1) * u)) = w. K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(z / y) \ u). T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u). K(x,(L(y,z,y) * u) \ w) != v5 | K(x,(y * u) \ w) = v5. K(x,(y * z) \ u) = K(x,T(z * y,y) \ u). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ u) = K(x,(z * (y / z)) \ u). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). K(x,L((y / z) \ u,y / z,z)) = K(x,T(y,z) \ (z * u)). K(x,((y \ 1) * ((y \ z) \ 1)) \ u) = K(x,T(z \ 1,y \ 1) \ u). 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). 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 \ 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)). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). 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,K(y,z \ u) * w) != v5 | K(x,K(y,u \ z) * w) = v5. K(x,K(y,z) * (y \ u)) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,(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,(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)). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). T(x,K(y,z) * u) = T(x,K(z * y,z) * u). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). K(x,(((y \ z) * y) \ 1) \ u) = K(x,T(z \ 1,y \ 1) \ u). K(x,T(y \ 1,z \ 1) \ u) = K(x,(((z \ y) * z) \ 1) \ u). K(x,((y \ z) * y) * u) = K(x,T(z \ 1,y \ 1) \ u). K(x,T(y \ 1,z \ 1) \ u) = K(x,((z \ y) * z) * u). K(x,T(y \ 1,z \ K(u,w)) \ v5) = K(x,(((K(w,u) * z) \ y) * (K(w,u) * z)) * v5). K(x,(((K(y,z) * u) \ w) * (K(y,z) * u)) * v5) = K(x,T(w \ 1,u \ K(z,y)) \ v5). x != K(y,K(z,u \ w) * (w / u)) | K(y,T(w / u,T(z,u))) = x. K(x,T(y / z,T(u,z))) = K(x,T(y / z,T(u \ (z \ y),z))). 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,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,T(y,z \ y) \ u) != w | K(x,T(y,z) \ u) = w. 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)). T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y,y * z) * u) = T(x,K(z,y) * u). T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). 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) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). 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 * K(z,u \ 1)) \ w) != v5 | K(x,(y * K(z,u)) \ w) = v5. 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 * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z),u) = K(x * K(z,y \ 1),u). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). 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) / 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(((x * y) / x) / z,u) != w | K(T(y,x) / z,u) = w. K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u). K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ 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,z)) = K(x,y \ (u / z)). K(x,y \ T(z,u)) = K(x,y \ ((u * z) / u)). K(x,y \ ((z * u) / z)) = K(x,y \ T(u,z)). K(x,y \ T(z * u,z)) = K(x,y \ (T(z,z * u) * u)). K(x,y \ (T(z,z * u) * u)) = K(x,y \ T(z * u,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 * u) \ 1) / (u \ 1))) = K(x,y \ T(z \ 1,u \ 1)). K(x,y \ ((z \ (u * z)) \ 1)) = K(x,y \ T(u \ 1,z \ 1)). K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ ((u \ (z * u)) \ 1)). K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ (T(z,u) \ 1)). 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 \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. 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,T(y,z) \ ((z * y) * (u / (z * y)))) != w | K(x,T(u / y,z)) = w. K(x,T(y / z,u)) = K(x,T(z,u) \ T(y,u * z)). K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) != w | K(x,T(u / y,z \ y)) = w. K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,T(u,z))). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). x != K(y,z \ T(u * w,u)) | K(y,z \ (w * u)) = x. K(x,y \ (z * u)) = K(x,y \ (T(u,u * z) * z)). K(x,y \ (T(z,z * u) * u)) = K(x,y \ (u * z)). K(x,y * (z \ (T(u,u * w) * w))) * K(x,K(y,z \ (w * u))) = K(x,(z \ (T(u,u * w) * w)) * y). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y,y \ z) \ u) != w | K(x,((y \ z) \ z) \ u) = w. K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ u) != w | K(x,(z * y) \ u) = w. K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),(z * y) \ y)). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). K(x * (y * K(z,y)),u) = K(x * T(y,z),u). K((x * y) * (z * K(y,z)),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). x != K(y,z \ K(u,w \ 1)) | K(y,z \ K(w,u)) = x. K(x,y \ K(z,u)) = K(x,y \ K(z \ 1,u)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). K(x,(y \ z) \ K(u \ 1,y)) != w | K(x,z \ T(y,1 / u)) = w. K(x,y \ T(z,1 / u)) = K(x,(z \ y) \ K(u,z)). 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 \ 1,u \ 1)) != w | K(x,y \ (T(z,u) \ 1)) = w. K(x,y \ (T(z,u) \ 1)) = K(x,y \ T(z \ 1,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x \ y,T(z,u) * w) = K(y \ x,w \ T(z \ 1,u)). K(x \ y,z \ T(u \ 1,w)) = K(y \ x,T(u,w) * z). K(x,(y * K(z \ 1,y * z)) \ T(u,y \ (z \ y))) != w | K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))) = w. K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | 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 * 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,u * z)). K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(T(x,y * z),u) = K(x,T(u,z \ y)). K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,T(y,L(z \ u,z,w))) = K(x,T(y,(w * u) * (w * z))). K(x,y) * K(y,T(x,z * u)) = K(x,K(y,u \ z)). T(x * K(y,T(x,z * u)),y) = T(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(y,u * z)). T(x,K(y,z * u)) = T(x,K(y,u \ z)). T(x,K(y,z \ u)) = T(x,K(y,u * z)). K((x * y) / (x * z),u) = K(L(z \ y,z,x),T(u,z * x)). K(L(x \ y,x,z),T(u,x * z)) = K((z * y) / (z * x),u). (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). K(x * (y * z),T(u,z * y)) != w | K((y * z) * x,u) = w. K(x,T(y,z \ u)) = K(x,T(y,u * (z \ 1))). K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). L(K(x,T(T(y,z),u * z)),z,u) = (z * u) \ ((z * K(x,y)) * u). K((x * y) / (x * (z \ y)),u) = (y * x) \ ((y * K(z,u)) * x). (x * y) \ ((x * K(z,u)) * y) = K((y * x) / (y * (z \ x)),u). K(x,(y * z) / (y * (u \ z))) = (z * y) \ ((z * K(x,u)) * y). (x * y) \ ((x * K(z,u)) * y) = K(z,(y * x) / (y * (u \ x))). (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * x) / (y * (u \ x))) = w. K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * z) / (u * (y \ z))). K((x * y) \ (z * y),u) = K(x \ z,(y * z) / (y * (u \ z))). K(x \ y,(z * y) / (z * (u \ y))) = K((x * z) \ (y * z),u). x != K(y,(z * u) / (z * (w \ u))) | K(y,(z * (w * u)) / (z * u)) = x. K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). (x * y) \ ((x * K(z,u)) * y) = K(z,(y * (u * x)) / (y * x)). (x * y) \ ((x * K(z,u \ x)) * y) != w | R(T(K(z,x / u),x * y),x,y) = w. R(T(K(x,y / z),y * u),y,u) = K(x,(u * y) / (u * ((z \ y) \ y))). K(x,(y * z) / (y * ((u \ z) \ z))) = R(T(K(x,z / u),z * y),z,y). K(x \ y,(z * y) / (z * (u \ y))) != w | K((x * z) \ (y * z),u) = w. K(x,(y * (z * u)) / (y * u)) = K(x,L(T(T(z,u),u * y),u,y)). K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * (y * z)) / (u * z)). K(x,L(T(T(y,z),u),z,z \ u)) = K(x,((z \ u) * (y * z)) / ((z \ u) * z)). K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,L(T(T(u,y),z),y,y \ z)). (x * y) * K(z,(x * (u * y)) / (x * y)) = x * (y * K(z,T(T(u,y),y * x))). (x * y) * K(z,(x * (u * y)) / (x * y)) != w | (y * K(z,u)) * T(x,y) = w. (x * K(y,z)) * T(u,x) = u * (x * K(y,T(T(z,x),x * u))). x * (y * K(z,T(T(u,y),y * x))) = (y * K(z,u)) * T(x,y). x * (K(y,T(z,u * x)) * u) = (u * K(y,z)) * T(x,u). (x * y) * K(z,u / (y * x)) = K(z,(y * x) \ u) * (x * y). K(x,(y * z) \ u) * (z * y) = (z * y) * K(x,u / (y * z)). K(x,T(y,z * (u \ 1))) != w | K(x,T(y,z / u)) = w. K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x,T(y,z / (u \ 1))) != w | K(x,T(y,u \ (z \ 1))) = w. K(x,T(y,z \ (u \ 1))) = K(x,T(y,(z \ 1) \ u)). K(x,T(y,(z \ 1) \ u)) = K(x,T(y,z \ (u \ 1))). K((x / y) / z,T(u,y \ x)) != w | K(z \ (x / y),u) = w. x != K((y * z) \ (u * z),w) | K(u / y,L(T(w,u * z),u,z)) = x. K(x / y,L(T(z,x * u),x,u)) = K(y \ x,(u * x) / (u * (z \ x))). K(x \ y,(z * y) / (z * (u \ y))) = K(y / x,L(T(u,y * z),y,z)). (x * K((y * z) \ (u * z),w)) \ x = K((z * u) / (z * (w \ u)),y \ u). K((x * y) / (x * (z \ y)),u \ y) = (w * K((u * x) \ (y * x),z)) \ w. K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * z) / (u * (y \ z))) = w. K(x,(y * (z * u)) / (y * u)) != w | K(x,(y * u) / (y * (z \ u))) = w. K(x,L((y * (z * u)) / (y * u),w,v5)) = (u * y) \ ((u * K(L(x,w,v5),z)) * y). (x * y) \ ((x * K(L(z,u,w),v5)) * y) = K(z,L((y * (v5 * x)) / (y * x),u,w)). x != K(y \ K(z,u),z) | K(y,z \ 1) = x. K(x,((y * (z * u)) / (y * u)) \ 1) = (u * y) \ ((u * K(x \ K((y * (z * u)) / (y * u),w),z)) * y). (x * y) \ ((x * K(z \ K((y * (u * x)) / (y * x),w),u)) * y) = K(z,((y * (u * x)) / (y * x)) \ 1). (x * y) \ ((x * K(z,u \ w)) * y) = K(z,(y * (((w \ u) \ 1) * x)) / (y * x)). K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = (w * y) \ ((w * K(x,u \ z)) * y). (x * y) \ ((x * K(z,L(u,w,v5))) * y) = K(z,(y * (R(u,w,v5) * x)) / (y * x)). (x * y) \ ((x * K(z,L(u,w,v5))) * y) = K(z,L((y * (u * x)) / (y * x),w,v5)). (x * y) \ ((x * K(z,L(u,w,v5))) * y) != v6 | K(z,(y * (R(u,w,v5) * x)) / (y * x)) = v6. K(x,(y * (R(z,u,w) * v5)) / (y * v5)) = K(x,L((y * (z * v5)) / (y * v5),u,w)). K(x,(y * z) / (y * (R(u,w,v5) \ z))) = K(x,L((y * (u * z)) / (y * z),w,v5)). K(x,y) != z | (u \ K(y,x)) \ (u \ 1) = z. (x \ K(y,T(z,u * w))) \ (x \ 1) = K(z,T(y,w \ u)). K(x,T(y,z \ u)) != w | K(x,T(y,u * z)) = w. K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. x != K(y,L(T(T(z,u),w),u,u \ w)) | K(y,((w / u) * (z * u)) / w) = x. K(x,((y / z) * (u * z)) / y) = K(x,((z \ y) * (u * z)) / ((z \ y) * z)). K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,((z / y) * (u * y)) / z). K(x,((y \ z) * y) / ((y \ z) * (u \ y))) = K(x,((z / y) * (u * y)) / z). K(x,(y * z) \ (u * z)) = K((z * u) / (z * (x \ u)),y \ u). K((x * y) / (x * (z \ y)),u \ y) = K(z,(u * x) \ (y * x)). K(x,(y * z) / (y * ((u \ z) \ z))) = K(x,(u * y) \ (z * y)). x != (y * z) \ ((y * K(u,w)) * z) | K(u,(z * (w * y)) / (z * y)) = x. K(x,(y * ((z \ u) * w)) / (y * w)) = K(x,(y * (((u \ z) \ 1) * w)) / (y * w)). K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = K(x,(y * ((u \ z) * w)) / (y * w)). (x * y) \ ((x * K(z,u \ 1)) * y) = K(z,((y * (u * x)) / (y * x)) \ 1). (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * (u * x)) / (y * x)) = w. K(x,(y * ((z \ 1) * u)) / (y * u)) = K(x,((y * (z * u)) / (y * u)) \ 1). K(x,(y * z) / (y * (u * z))) = K(x,(y * ((u \ 1) * z)) / (y * z)). K(x,(y * ((z \ 1) * u)) / (y * u)) = K(x,(y * u) / (y * (z * u))). K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) != v5 | K(x,(y * ((u \ z) * w)) / (y * w)) = v5. K(x,(y * ((z \ u) * w)) / (y * w)) = K(x,(y * w) / (y * ((u \ z) * w))). K(x,(y * z) / (y * ((u \ w) \ z))) = K(x,(y * z) / (y * ((w \ u) * z))). K(x,(y * z) / (y * ((u \ z) \ z))) != w | K(x,(u * y) \ (z * y)) = w. K(x,(y * z) \ (u * z)) = K(x,(z * u) / (z * ((u \ y) * u))). K(x,(y * z) / (y * ((z \ u) * z))) = K(x,(u * y) \ (z * y)). K(x,(y * z) / (y * ((u \ z) \ z))) != w | R(T(K(x,z / u),z * y),z,y) = w. R(T(K(x,y / z),y * u),y,u) = K(x,(u * y) / (u * ((y \ z) * y))). K(x,(y * z) / (y * ((z \ u) * z))) = R(T(K(x,z / u),z * y),z,y). K(x,(y * z) / (y * ((z \ u) * z))) = R(K(x,T(z / u,z * y)),z,y). x != R(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(T(y / z,y * u),y,u)) = K(x,(u * y) / (u * ((y \ z) * y))). K(x,(y * z) / (y * ((z \ u) * z))) = K(x,L(T(z / u,z * y),z,y)). K(x,(y * z) / (y * ((z \ u) * z))) != w | K(x,(u * y) \ (z * y)) = w. K(x,(y * z) \ (u * z)) = K(x,L(T(u / y,u * z),u,z)). K(x,L(T(y / z,y * u),y,u)) = K(x,(z * u) \ (y * u)). K(x,L(T((y * z) / y,u),w,v5)) != v6 | K(x,L(T(T(z,u),y),w,v5)) = v6. K(x,L(T(T(y,(z * y) * u),z),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,L(T(T(y,z),(z * y) * u),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). K(L(K(x,y) * z,K(y,x),u),T(w,K(y,x) * u)) = K((u * z) / (u * K(y,x)),w). K(x,T(y,z * u)) = K(x,T(y,z \ (u \ 1))). K(x,T(y,z \ (u \ 1))) = K(x,T(y,z * u)). K(x / y,L(T(z,x * u),x,u)) != w | K((y * u) \ (x * u),z) = w. (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(x,L(y,y \ 1,z)) = T(x,y). ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). 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,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,T(u,z))) != w | K(x,y / z) * K(x,K(u,z \ y)) = w. K(x,y / z) * K(x,K(u,z \ y)) = 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,y) * z != K(x,T(y,u)) | K(x,K(u,y)) = z. K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,y) * z != K(x,T(y,u)) | K(x,K(y,u)) = z. K(x,K(y / z,u)) = K(x,K(u,z \ y)). K(x,y / z) * K(x,K(z,z \ y)) = K(x,z \ y). K(x,K(y,z / u)) = K(x,K(y,z \ u)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,K(y,z / u)) != w | K(x,K(y,z * (u \ 1))) = w. K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). (x / y) * K(z,K(u,y \ x)) = T(x / y,K(z,u)). K(x,(y / z) * u) * K(x,K(u,z \ y)) = K(x,u * (y / z)). K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. 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 \ 1) * w))) = K(x,K(y,z \ ((w \ 1) * u))). K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,z * ((w \ 1) * u))). K(x,(y / z) * u) * K(x,K(u,y * z)) = K(x,u * (y / 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)). K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,u \ (y * (z * u))). K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). K(x,(((y \ 1) / z) * u) \ (w \ 1)) * K(x,K((u \ 1) * ((z \ 1) \ y),w)) = K(x,w \ ((u \ 1) * ((z \ 1) \ y))). K(x,(y * (z * u)) / u) * K(x,K(y * (u * z),T(u,z))) = K(x,T(u,z) \ (y * (u * z))). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,(y / z) \ u) * K(x,K(u,y \ z)) = K(x,u / (y / z)). K(x,K(y,z)) * K(z,y / x) = K(z,x \ y). K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). K(x,K(y,z)) * K(z,x / y) = K(z,y \ x). K(x,y \ z) * K(z / y,x) = K(y,K(z,x)). K(x \ y,z) * K(x,K(y,z)) = K(y / x,z). T(x,K(y,z \ x)) / z = T(x / z,K(((x / z) \ (1 / z)) \ 1,y)). T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. x != T(y,K(z,u \ y)) / u | T(y / u,K(y,z)) = x. T(x / y,K(x,z)) = T(x / y,K(((x / y) \ (1 / y)) \ 1,z)). T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x * (y * z),K(T(y,z),u)) * K(u,(x * (z * y)) / y) = K(u,T(y,z) \ (x * (y * z))). K(x,K(y,T(z,u))) = K(z,K(x,y)). K(T(x,y),K(z,u)) = K(x,K(z,u)). 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(z,K(T(x,u),y)) = w. K(x,K(T(y,z),u)) = K(x,K(y,u)). K(x,K(y,T(z,u))) != w | K(x,K(z,y)) = w. K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. K(T(x,y) * z,u) * K(x,K(z,u)) = K(z * T(x,y),u). K(x,K(y,z)) = T(K(x,K(y,z)),u). T(K(x,K(y,z)),u) = K(x,K(y,z)). K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. K(x,T(K(y,z),u)) = K(x,K(y,z)). T(x,K(y,K(z,u))) = x. x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. x * R(K(y,K(z,u)),w,w \ x) = (K(y,K(z,u)) * w) * (w \ x). T(x,K(y,z)) \ u = (x \ u) * K(x,K(y,z)). (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. K(x,K(y,z)) * (u * K(x,K(y,z))) = u. K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. 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,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. x = (K(y,K(z,u)) * x) * K(y,K(z,u)). (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. T(x,K(y,z)) \ u = (x \ u) * K(y,K(z,x)). (x \ y) * K(z,K(u,x)) = T(x,K(z,u)) \ y. K(x,y) * z != T(u,T(x,y)) * K(x,y) | T(u,x) = z. T(x,y) = T(x,T(y,K(z,u))). T(x,T(y,K(z,u))) = T(x,y). x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. K(x,K(y,z)) * u = u * K(y,K(x,z)). K(x,y) * (z * K(x,K(y,u))) = K(x,T(y,u)) * z. T(x,T(K(y,z),u)) = T(x,K(y,z)). K(x,T(y,K(z,u))) = K(x,y). T(T(x,y / z),K(z,y)) != u | T(x,z \ y) = u. T(x,y \ K(z,u)) = T(x,K(z,u) / y). T(x,K(y,z) / u) = T(x,u \ K(y,z)). K(x,K(y,K(z,u))) = 1. x != T(y,K(z,K(u,w))) | x = y. T(x,K(y,K(z,u))) != w | w = x. K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. T(x,K(y,z) * u) = T(x,u * K(y,z)). T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. K(x,K(y,z)) * u != w | u * K(x,K(z,y)) = w. (x * K(y,K(z,u))) / (K(y,T(z,u)) * w) != v5 | R(x / (K(y,z) * w),K(y,z) * w,K(y,K(z,u))) = v5. K(K(x,y),K(z,u)) = 1. T(K(x,y),K(z,u)) = K(x,y). K(x,y \ K(z,u)) = K(x,K(z,u) / y). K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(T(x,K(y,z)),u) = K(x,u). (K(x,y) * K(z,u)) * K(y,x) = K(z,u). T(K(x,y),z) != u | (K(y,x) * z) \ z = u. (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). K(x,y) * K(z,u) = K(z,u) * K(x,y). x * (K(y,z) * K(u,w)) != v5 | x * (K(u,w) * K(y,z)) = v5. K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. T(x,y) * K(z,u) = (x * K(z,u)) * K(x,y). (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. K(x,y) * z = T(K(x,y) * z,K(z,u)). T(K(x,y) * z,K(z,u)) = K(x,y) * z. K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). (K(x,y) * K(z,u)) \ K(z,u) != w | w = K(y,x). (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. K(x,y * K(z,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) = K(x,u * K(y,z)). x * y != y * K(z * y,u) | K(y * z,u) = x. K(K(x,y) * z,u) = K(z * K(x,y),u). (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). (K(x,y) * (K(z,u) * w)) * a(K(x,y),K(z,u),w) = (K(z,u) * K(x,y)) * w. K(x,T(y,z)) * K(u,w) = K(u,w) * K(z / (z / x),y). K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. (T(x,y) * K(z,u)) * T(y,x) = (x * K(z,u)) * y. K(x,y) != (K(y,x) * K(z,u)) \ w | K(z,u) = w. (K(x,y) * K(z,u)) \ w != K(y,x) | K(z,u) = w. K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(T(x,K(y,z)),u) != w | K(x,u) = w. K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * (z * x),u) != w | K(z * T(x,y),u) = w. K(x,y * K(z,u \ 1)) = K(x,K(u,z) * y). K(x,y * K(z,u)) = K(x,K(u,z) * y). K(x,K(y,z) * u) = K(x,u * K(z,y)). K(x,T(y,z \ 1) \ u) != w | K(x,(y \ u) * K(z,y \ 1)) = w. x * K(y,T(z,u)) = K(y,K(z,u)) * (x * K(y,z)). 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. (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(L(w,K(y,z),x),x * K(y,z),K(y,K(z,u))). K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,y * K(z,u)) = K(x,K(u,z) \ y). K(x,K(y,z) \ u) = K(x,u * K(z,y)). K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). K(x,K(y,z * (x * u))) = K(x,K(y,u * z)). K(x,K(y,z * u)) = K(x,K(u * z,y)). K(x,K(y * z,u)) = K(x,K(u,z * y)). K(x,K(y,z * u)) = K(x,K(y,u * z)). K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). K(x,K(y,z) * (u \ 1)) != w | K(x,u \ K(y,z)) = w. K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. K(x,K(y,(z * 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(x,K(u * z,y)) = w. K(x,y * z) * K(x,K(u,z * y)) = K(x,T(y * z,u)). K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u). K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). K(x,T(y,z)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = K(x,T(y,z)). K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. K(x,T(y,L((z / u) / w,w,u))) != v5 | K(x,T(y,(w * u) \ z)) = v5. K(x,((y * z) / y) \ u) * K(x,K(z,u)) = K(x,u / ((y * z) / y)). x * K(y,K(z,T(u,w))) != v5 | K(y,K(z,u)) * x = v5. K(x,y * K(z,u \ (w \ 1))) = K(x,K(w * u,z) * y). T(x,T(T(y,z),z)) != u | T(x,y) = u. T(K(x,y),z) = K(x,T(y,T(z,u))). K(x,T(y,T(z,u))) = T(K(x,y),z). T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. x != T(K(y \ z,u),z) | K(z / y,u) = x. K(x / y,z) = K(y \ x,T(z,T(x,u))). K(x \ y,T(z,T(y,u))) = K(y / x,z). K(x,K(y,z)) * z = T(z,K(x,T(y,u))). T(x,K(y,T(z,u))) = K(y,K(z,x)) * x. K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u / T(y,z)). K(x * T(x \ y,z),u) * K(x,K(y / x,u)) = K(x * T(y / x,z),u). K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). K(x,K(y,z) * (u \ z)) = K(x,u \ T(z,y)). x != K(y * ((z \ 1) \ u),w) * K(y,K(w,z * u)) | K(((z \ 1) \ u) * y,w) = x. K(((x \ 1) \ y) * z,u) = K(u,K(z,x * y)) * K(z * ((x \ 1) \ y),u). K(x,K(y,z * u)) * K(y * ((z \ 1) \ u),x) = K(((z \ 1) \ u) * y,x). x != K(y * z,u) * K(y,K(u,z)) | K(z * y,u) = x. K(x * y,z) = K(z,K(y,x)) * K(y * x,z). K(x,K(y,z)) * K(y * z,x) = K(z * y,x). K(x,y) * (z * K(y,K(x,u))) = K(x,T(y,u)) * z. x * K(y,K(z,u)) != w | K(z,K(y,u)) * w = x. K((x * (y / x)) * z,u) * K(y,K(z,u)) = K(z * (x * (y / x)),u). 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). K(x,K(y,z)) * T(u,w) = T(K(x,K(y,z)) * u,w). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). K(x,K(y,z)) * T(u,w) = T(u * K(x,K(y,z)),w). K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). K(x * K(y,K(z,u)),w) = K(x,w). K(x \ K(y,K(z,u)),w) = K(x \ 1,w). x / T(x,y) = K(y * K(z,K(u,w)),x). K(x * K(y,K(z,u)),w) = w / T(w,x). K(x * T(y,K(z,u)),w) = K(x * y,w). K(T(x,K(y,z)) / u,w) = K(x / u,w). K(x * (y * T(z,K(u,w))),v5) = K(x * (y * z),v5). K(K(x,K(y,z)) * u,w) = K(u,w). K(T(x,K(y,z)) * u,w) = K(x * u,w). K(x * K(y,z),u) = K(x * T(K(y,z),w),u). K(x * T(K(y,z),u),w) = K(x * K(y,z),w). K(x * (y * K(z,K(u,w))),v5) = K(x * y,v5). K(x / (K(y,z) * u),w) = K(x / (u * K(y,z)),w). K(x \ (y * K(z,u)),w) = K(x \ (K(z,u) * y),w). K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). T(x,y * K(z,K(u,w))) = T(x,y). K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K(T(x,K(y,z)) / u,w) != v5 | K(x / u,w) = v5. K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. K(x / (K(y,z) * u),w) != v5 | K(x / (u * K(y,z)),w) = v5. K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. K(x \ y,z) != u | K(T(x,K(w,v5)) \ y,z) = u. K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. K(x * K(y,T(z,u)),w) != v5 | K(x * K(y,z),w) = v5. K(x * K(T(y,z),u),w) != v5 | K(x * K(y,u),w) = v5. K(x * K(y,z),u) = K(x * K(T(y,w),z),u). K(x * K(T(y,z),u),w) = K(x * K(y,u),w). K((x * K(y,z)) \ u,w) = K((K(y,z) * x) \ u,w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). K(x * (y * (z * K(u,w))),v5) = K(x * (y * (K(u,w) * z)),v5). K(x * (y * (K(z,u) * w)),v5) = K(x * (y * (w * K(z,u))),v5). K(x * (y * (z \ K(u,w))),v5) = K(x * (y * (K(u,w) / z)),v5). K(x * (y * (K(z,u) / w)),v5) = K(x * (y * (w \ K(z,u))),v5). K((x * (K(y,z) / u)) * w,v5) = K(w * (x * (u \ K(y,z))),T(v5,w)). K(x * (y * (z \ K(u,w))),T(v5,x)) = K((y * (K(u,w) / z)) * x,v5). (x * y) / (K(z * (u * (w \ K(v5,v6))),x) * y) = T(x,z * (u * (K(v5,v6) / w))). K((x * (K(y,z) / u)) * w,v5) != v6 | K((x * (u \ K(y,z))) * w,v5) = v6. K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * K(u,z)) * x) \ w,v5). K((x * K(y,z)) \ 1,u) != w | K(x \ K(z,y),u) = w. K(T(x,y) \ K(z,u),w) = K((K(u,T(z,x * y)) * x) \ 1,T(w,y)). K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K(T(z,u) \ K(y,x),w). K((T(x,K(y,z)) * u) * w,v5) = K((x * u) * w,v5). K(x \ K(y,K(z,u)),w) != v5 | K(x,w \ 1) = v5. K(K(x,y) * z,u) = K(z * K(y,x \ 1),u). K(x * K(y,z \ 1),u) = K(K(z,y) * x,u). K(K(x,y) * z,u) = K(z * K(y * x,y),u). K(x * K(y * z,y),u) = K(K(z,y) * x,u). K(x,(y \ z) * K(u,y \ 1)) = K(x,T(y \ 1,u) * z). K(x,y * K(z,u \ 1)) != w | K(x,K(u,z) * y) = w. K(x,K(y,z) * (y \ u)) = K(x,T(y \ 1,z) * u). K(x,T(y \ 1,z) * u) = K(x,K(y,z) * (y \ u)). x != K(y,K(z,u) * (z \ w)) | K(y,T(z,u) \ w) = x. K(x,T(y,z) \ u) = K(x,T(y \ 1,z) * u). K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). K(x,T(y \ 1,z) * u) != w | K(x,T(y,z \ 1) \ u) = w. K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). K(x,T(y,z) * u) = K(x,T(y \ 1,z) \ u). K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). x * a(x,y,K(z,T(u,w) \ v5)) = T(x,a(T(u \ 1,w) * v5,y,z)). T(x,a(T(y \ 1,z) * u,w,v5)) = x * a(x,w,K(v5,T(y,z) \ u)). T(x,a(T(y \ 1,z) * u,w,v5)) != v6 | T(x,a(T(y,z) \ u,w,v5)) = v6. x * (K(y,z) * u) = T(x * (K(y,z) * u),K(x,u)). T(x * (K(y,z) * u),K(x,u)) = x * (K(y,z) * u). T(x,T(y,K(z,u))) != w | w = T(x,y). T(x,T(y,K(z,u))) != w | T(x,y) = w. T(x,y \ K(z,u)) = T(x,K(z,u) * (y \ 1)). T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. T(x,K(y,z) * (u \ 1)) != w | T(x,u \ K(y,z)) = w. x != K(y,K(z,u)) * u | T(u,K(y,z)) = x. T(x,K(y,z)) = T(x,K(y,T(z,u))). T(x,K(y,T(z,u))) = T(x,K(y,z)). x != K(y,K(z,u)) * u | T(u,K(z,y)) = x. T(x,K(y,z)) = T(x,K(z,T(y,u))). T(x,K(y,T(z,u))) = T(x,K(z,y)). x \ T(y * T(x,K(z,u)),K(u,T(z,w))) = T(y,K(T(z,w),u) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(T(z,w),u) * x). T(x,K(T(y,z),u) * w) = w \ T(x * T(w,K(y,u)),K(y,u)). x != y \ T(z * T(y,K(u,w)),K(u,w)) | T(z,K(w,u) * y) = x. T(x,K(y,z) * u) = T(x,K(T(z,w),y) * u). T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w). T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). T(x,y * K(z,u)) = T(x,K(u,z) * y). T(x,K(y,z) * u) = T(x,u * K(z,y)). T(x,y * T(z,u)) = T(x,K(u,z) * (y * z)). T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). T(x,T(y,T(z,u))) = T(x,T(y,z)). T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). T(x,T(y,z * u)) = T(x,T(y,u * z)). T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). T(x,K(y,K(z,u)) * w) = T(x,w). T(x,y \ T(z,K(u,w))) = T(x,y \ z). T(x,T(y,K(z,u)) * w) = T(x,y * w). T(x,K(y,z / u)) = T(x,K(y,u \ z)). T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). T(x,K(y,z * u)) = T(x,K(y,u * z)). K(x * K(y,y \ z),u) = K(K(y,z) * x,u). K(K(x,y) * (z / y),u) != w | K(z / T(y,x),u) = w. x != K(y,K(z,T(u,w))) | K(z,K(T(y,w),u)) = x. K(x,K(T(y,z),u)) = K(y,K(x,T(u,w))). K(x,y * T(z,u)) * K(x,K(y,T(z,w))) = K(x,T(z,u) * y). K(x,K(y,T(z,u))) * T(w,v5) = T(w * K(x,K(y,z)),v5). K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. K(x,L(T(y,z),u,w)) = K(x,L(T(y,T(z,v5)),u,w)). K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u / z),w,v5)). K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). K(x \ y,L(T(z,u),x,x \ (T(u,w) \ 1))) != v5 | K((((T(u,w) \ 1) / x) * y) * T(u,w),z) = v5. x * y != T(z,K(u,K(w,v5)) * v6) | x \ T(z,v6) = y. x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). T(x,(y * K(z,u)) * w) = T(x,(K(z,u) * y) * w). T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). K(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = K(x,w). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x,y) = K(x,y * K(z,K(u,w))). K(x,y * K(z,K(u,w))) = K(x,y). K(x,y \ z) = K(x,T(y,K(u,w)) \ z). K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,y) = K(x,K(K(z,u),w) * y). K(x,K(K(y,z),u) * w) = K(x,w). K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(z,u) / y) \ w) = v5. K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. K(x,y * z) = K(x,T(y,K(u,w)) * z). K(x,T(y,K(z,u)) * w) = K(x,y * w). K(x,T(y,K(z,u)) / w) = K(x,y / w). K(x,y * T(z,K(u,w))) = K(x,y * z). K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. K(x,y / z) = K(x,y / T(z,K(u,w))). K(x,y / T(z,K(u,w))) = K(x,y / z). K(x,y * (z * K(u,w))) = K(x,y * (K(u,w) * z)). K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). K(x,T(y,z)) * T(u,K(x,y)) = u * K(x,T(y,z)). 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,K(y,z)),T(z,u) * y) = T(x,y * T(z,u)). T(x,K(y,z) * u) != w | u \ T(x * T(u,K(y,z)),K(y,z)) = w. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). T(x,K(y,z) * (u * K(y,z))) = T(x,u). T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)). x \ T(y,K(z,u)) = T(y / T(x,K(z,u)),x * K(u,z)). T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). x \ T(y * T(x,K(z,u * w)),K(z,w * u)) != v5 | T(y,K(u * w,z) * x) = v5. K(x * T(x \ (y \ x),z),u) = K((y \ x) * K(y,z \ 1),u). K((x \ y) * K(x,z \ 1),u) = K(y * T(y \ (x \ y),z),u). x * (K(y,z) * K(K(y,z) * x,u)) = T(x * K(y,z),u). K(K(x,y) * (z \ x),u) = K(z \ T(x,y),u). K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). K(x,K(K(y,z) * u,(K(y,z) * u) \ w) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). K(x,T((K(y,z) * u) \ w,u * K(y,z)) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). x != K(y,z \ u) * T(z,z \ u) | T(z \ u,y) \ u = x. T(x \ y,z) \ y = T(x,x \ y) * K(z,T(x \ y,x)). T(x,x \ y) * K(z,T(x \ y,x)) = T(x \ y,z) \ y. T(x,y) * K(z,T(T(u,x),w)) = K(z,T(u,w)) * T(x,y). K(T(x,K(y,z)) / (u * (x * K(y,z))),w) != v5 | K(((x * K(y,z)) * u) \ x,T(w,u)) = v5. K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x / (u * (x * K(y,z))),w). x != K(y / z,u) | K(y / L(z,w,z),u) = x. K(x / L(y,z,y),u) = K(T(x / y,K(w,v5)),u). K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). K(T(x,y) * z,u) = K(x * (z * K(x,y)),u). K(x * (y * K(x,z)),u) = K(T(x,z) * y,u). K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). K(x * (T(y,K(z,u)) * w),v5) = K(x * (y * w),v5). K(x * K(y / z,u),w) = K(x * K(z \ y,u),w). K(x * (T(y,y \ z) * u),w) = K(x * (((y \ z) \ z) * u),w). K(x * ((y * K(z,u)) * w),v5) = K(x * ((K(z,u) * y) * w),v5). K(x * ((K(y,z) * u) * w),v5) = K(x * ((u * K(y,z)) * w),v5). K(x * (T(y,T(z,u)) * w),v5) = K(x * (T(y,z) * w),v5). K(x * ((y \ K(z,u)) * w),v5) = K(x * ((K(z,u) / y) * w),v5). K(x * ((K(y,z) / u) * w),v5) = K(x * ((u \ K(y,z)) * w),v5). K((K(x,K(y,z * u)) * w) \ K(((z \ 1) \ u) * y,x),v5) = K(w \ K(y * ((z \ 1) \ u),x),L(v5,K(y * ((z \ 1) \ u),x),K(x,K(y,z * u)))). K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((K(w,K(y,z * u)) * x) \ K(((z \ 1) \ u) * y,w),v5). K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((x \ K(K(y,z * u),w)) * K(((z \ 1) \ u) * y,w),v5). x * (K(y,z) * a(K(y,z) * x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). K(K(x,y * z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. K(K(x * y,z) * u,w) != v5 | K(K(y * x,z) * u,w) = v5. K(K(x,y * z) * u,w) = K(K(x,z * y) * u,w). K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. K(K(x,y) * (z \ x),u) = K(z \ T(x,x \ y),u). K(x \ T(y,y \ z),u) = K(K(y,z) * (x \ y),u). K(x * K(y * z,y),u) != w | K(x * K(z,y),u) = w. x != K(K(y,z) * (u \ y),w) | K(u \ T(y,z),w) = x. 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,y \ z),u) != w | K(x \ ((y \ z) \ z),u) = w. K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). K(x \ T(y,z),L(u,x,y \ z)) != w | K(((y \ z) * x) \ z,u) = w. K(x,K(y * z,T(u,w))) = K(x,K(u,z * y)). K(x,T(y \ 1,z \ 1) \ u) != w | K(x,((z \ y) * z) * u) = w. K(x,((y \ z) * y) * u) = K(x,T(z \ 1,y) \ u). K(x,T(y \ 1,z) \ u) = K(x,((z \ y) * z) * u). (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (K(y,x) * T(u,K(y,x))). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). (T(x,y) \ z) * K(x,K(u,w)) = T(T(x,y),K(u,w)) \ z. K(x * (T(y,K(z,u)) \ w),v5) = K(x * (y \ w),v5). K(x * (T(y,z * (u \ 1)) * w),v5) = K(x * (T(y,u \ z) * w),v5). K(K(x,y) * z,u) != w | K(K(x,x \ y) * z,u) = w. K(x,K(y,(z \ u) * z)) != w | K(x,K(u,y)) = w. K(x,K(y,K(z,u) \ w)) \ (w * K(u,z)) = T(w * K(u,z),K(x,y)). K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). K(x,(y * K(z,u)) / (T(K(z,u) \ w,v5) * K(z,u))) = K(x,L(y / T(w / K(z,u),v5),T(w / K(z,u),v5),K(z,u))). K(x,L(y / T(z / K(u,w),v5),T(z / K(u,w),v5),K(u,w))) = K(x,(y * K(u,w)) / (T(K(u,w) \ z,v5) * K(u,w))). K(x,y / (z / (T(u,w) * w))) = K(x,y * ((z / (u * w)) \ K(u,w))). K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (T(u,w) * w))). T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). T(K(x,T(y,z)) * u,w) * K(y,x) != v5 | K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = v5. K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). T(K(x,y) * z,u) * K(y,T(x,w)) != v5 | K(y,T(x,w)) * T(z * K(x,y),u) = v5. K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). K((x \ y) * K(x,z \ 1),u) != w | K(y * T(y \ (x \ y),z),u) = w. K(x * T(x \ (y \ x),z),u) = K(K(z,y) * (y \ x),u). K(K(x,y) * (y \ z),u) = K(z * T(z \ (y \ z),x),u). K(T(x,y) \ z,u) = K(z * T(z \ (x \ z),y),u). K(x * T(x \ (y \ x),z),u) = K(T(y,z) \ x,u). K(x * (y \ K(z,u)),w) = K(x / (y * K(u,z)),w). K(x / (y * K(z,u)),w) = K(x * (y \ K(u,z)),w). K(x / (y * K(z,u)),w) != v5 | K(x * (y \ K(u,z)),w) = v5. K(x,K(y,z) * (u \ (y \ z))) = K(x,u \ T(y \ z,y)). K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,y \ z)). K(x,y \ T(z,z \ u)) = K(x,K(z,u) * (y \ z)). K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. K(x,(y \ z) * K(z,u)) = K(x,y \ T(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,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,(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,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,z * K(u,w))) = K(x,T(y,z)). T(K(x,y),K(z,u) * w) = K(x,T(y,w)). K((K(x,y) * z) / (K(x,y) * u),w) = K(L(u \ z,u,K(x,y)),T(w,u)). K(L(x \ y,x,K(z,u)),T(w,x)) = K((K(z,u) * y) / (K(z,u) * x),w). K(T(x,K(y,z) * u),w) = K(x,T(w,u)). 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(L(K(x,y) * z,K(y,x),u),T(w,K(y,x) * u)) != v5 | K((u * z) / (u * K(y,x)),w) = v5. K((x * y) / (x * K(z,u)),w) = K(L(K(u,z) * y,K(z,u),x),T(w,x)). K(L(K(x,y) * z,K(y,x),u),T(w,u)) = K((u * z) / (u * K(y,x)),w). K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,T(L(y,v5,v6),w)). K(x,T(y,z * u)) = K(x,T(y,T(z,w) * u)). K(x,T(y,T(z,u) * w)) = K(x,T(y,z * w)). K(x,T(y,T(z,u) \ w)) = K(x,T(y,z \ w)). 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,T(y,z * T(u,w))) = K(x,T(y,z * u)). K(x,T(y,(K(z,u) * w) * v5)) = K(x,T(y,w * v5)). (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). K(x / (y * (K(z,u) * w)),v5) = K((y * (K(z,u) * w)) \ x,T(v5,y * w)). K((x * (K(y,z) * u)) \ w,T(v5,x * u)) = K(w / (x * (K(y,z) * u)),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)). 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)) = K(x,K(y,z * w)). K(x,K(y,z)) = K(x,K(y,K(u,w) * z)). K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). K(x,K(y,z * (u * w))) = K(x,K(y,z * (T(u,v5) * w))). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). K(x,K(y,z * (T(u,w) \ v5))) = K(x,K(y,z * (u \ v5))). 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 * K(w,v5)))) = 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 \ K(u,w))) = K(x,K(y,z)). 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,K(y,z)) = K(y,K(z,K(u,w) * x)). K(x,K(y,K(z,u) * w)) = K(w,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(y,T(z,u) \ w)) = K(x,K(y,z \ w)). K(x,K(y,(z / u) \ w)) = K(x,K(y,(u \ z) \ w)). K(x,K(y,z)) * y = T(y,K(x,K(u,w) * z)). T(x,K(y,K(z,u) * w)) = K(y,K(x,w)) * x. K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). 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,(u * v5) * z)). K(x,K(y,z * u)) = K(x,K(y,(u * K(w,v5)) * z)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,z * ((u * w) \ 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 * ((T(u,w) \ v5) * v6))) = K(x,K(y,((u \ v5) * v6) * z)). K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. 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 / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). K(x,K(y,(z \ (u * w)) * v5)) = K(x,K(y,v5 * (z \ (w * u)))). K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(y,K(z,K(u,w) \ x)). K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). K(x,K(y,K(z,u) \ w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,z)) \ (x * K(u,w)) = T(x * K(u,w),K(y,z)). K(x,K(y,T(z,u) * w)) != v5 | K(x,K(y,z * w)) = v5. K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,(u / z) * w)) = v5. K(x,K(y,z)) * K(y,x * (z \ K(u,w))) = K(y,(z \ K(u,w)) * x). K(x,(y \ K(z,u)) * w) * K(x,K(w,y)) = K(x,w * (y \ K(z,u))). K(x,K(y,z \ T(u,w))) = K(x,K(y,u \ z)). K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,(y \ K(u,w)) * x). (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(L(u * K(x,u),x,K(y,z)),T(w,x)). K(L(x * K(y,x),y,K(z,u)),T(w,y)) = K((y * K(z,u)) \ ((y * x) * K(z,u)),w). x != K(y,T(z,u)) | K(y,T(z,K(w,v5) * u)) = x. K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(v5,v6))). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). K(x,y) * T(z \ K(y,x),u) = T((z \ 1) * K(z \ K(y,x),u),K(x,y)). T((x \ 1) * K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). ((x * T(y,K(z,u))) * K(w,v5)) / a(x,T(y,K(z,u)),K(w,v5)) = x * T(y * K(w,v5),K(z,u)). T(R(x,y,y \ K(z,u)),K(w,v5)) * K(z,u) = T((x * y) * (y \ K(z,u)),K(w,v5)). K(x,(y \ K(z,u)) * w) * K(x,K(y,w)) = K(x,w * (y \ K(z,u))). K(x,K((T(y,z) * u) * w,v5)) = K(x,K(v5,w * (y * u))). K(x * ((T(y,z) * u) * w),v5) * K(x,K(v5,w * (y * u))) = K(((T(y,z) * u) * w) * x,v5). x != K(y,K(z,u)) * z | T(z,K(y,u)) = x. T(x,K(y,z)) = T(x,K(y,K(u,w) * z)). T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). T(x,K(y,K(z,u) * w)) != v5 | T(x,K(y,w)) = v5. T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. T(x,K(y,z * K(u,w))) = T(x,K(y,z)). T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). T(T(x,K(y,z)),(K(u,w) * z) * y) != v5 | T(x,y * (K(u,w) * z)) = v5. x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(K(w,v5) * u,z) * x). T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). T(x,K(y,z) * u) = T(x,K(K(w,v5) * y,z) * u). T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. T(x,y * K(z,K(u,w) * v5)) = T(x,K(v5,z) * y). T(x,K(y,z) * (z * u)) != w | T(x,T(z,y) * u) = w. T(x,T(y,K(z,u) * w) * v5) = T(x,K(w,y) * (y * v5)). x * y != T(z,u * K(w,K(v5,v6) * v7)) | x \ T(z,K(v7,w) * u) = y. x \ T(x,K(y,z) * u) = K(x,u * K(z,K(w,v5) * y)). K(x,y * K(z,K(u,w) * v5)) = x \ T(x,K(v5,z) * y). x / T(x,K(y,z) * u) = K(u * K(z,K(w,v5) * y),x). K(x * K(y,K(z,u) * w),v5) = v5 / T(v5,K(w,y) * x). K(K(x,y) * z,u) = K(z * K(y,K(w,v5) * x),u). K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. K(K(x,K(y,z) * u) * w,v5) = K(K(u,x) * w,v5). K(x * K(y,z),u) = K(K(z,y) * x,u). K(K(x,y) * z,u) = K(z * K(y,x),u). x != K(y * K(z,u),w) | K(K(z,u) * y,w) = x. K(K(x,y) * z,u) = K(K(y,x) * z,u). x != K(y,z \ 1) | K(y \ 1,z) = x. K((x * K(y,z)) \ 1,u) = K(K(z,y) * x,u \ 1). x != K(y * K(z,K(u,w) * v5),v6) | K(K(v5,z) * y,v6) = x. K(K(x,y) * z,u) = K(K(K(w,v5) * x,y) * z,u). K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). x != K(y * K(T(z,u),w),v5) | K(y * K(z,w),v5) = x. K(x * K(y,z),u) = K(K(z,T(y,w)) * x,u). K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). K(K(x,y) * z,u) = K(z * K(x \ y,x),u). K(x * K(y \ z,y),u) = K(K(y,z) * x,u). K(K(x * y,x) * z,u) != w | K(K(y,x) * z,u) = w. K(K(x,y) * z,u) = K(z * K(y,y * x),u). K(x * K(y,y * z),u) = K(K(z,y) * x,u). K(K(x,y) * (y * z),u) = K(y * (z * K(y,x)),u). K(K(x,T(y,z)) * u,w) = K(u * K(y,T(x,z)),w). K((x * y) * z,u) = K(((y * x) * z) * K(y,x),u). K(((x * y) * z) * K(x,y),u) = K((y * x) * z,u). K(K(L(x,y,z),u) * (z * y),w) = K(z * (y * K(u,x)),w). K(K(x * K(y,z),(K(z,y) * x) \ u) * w,v5) = K(K(K(z,y) * x,u) * w,v5). K(K(x * ((y \ 1) * z),u) * w,v5) = K(w * K(L(u,z,y \ 1),(x / y) * z),v5). K(x * K(L(y,z,u \ 1),(w / u) * z),v5) = K(K(w * ((u \ 1) * z),y) * x,v5). a(K(x,y),z,K(u,w) * v5) = a(x,z,K(v5 * K(w,u),y)). K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. K(x \ K(y,z),u) = K(K(y,z) * x,u \ 1). K(K(x,y) * z,u \ 1) = K(z \ K(x,y),u). K(K(x,y) * z,u \ 1) != w | K(z \ K(x,y),u) = w. K(x \ K(y,z \ 1),u) = K(K(y,z) * x,u \ 1). K(x \ K(y,z \ 1),u) = K(x \ (((w / (T(y \ 1,z) \ 1)) \ 1) * (w / y)),u). K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u \ 1),w). K(x,y) * a(x,z,K(u \ K(w,v5),y)) = K(x,L(y,z,(K(w,v5) * u) \ 1)). K(T(x,y) \ z,u) = K(K(y \ x,y) * (x \ z),u). K(K(x \ y,x) * (y \ z),u) = K(T(y,x) \ z,u). x != K(K(y,z) * u,w) | K(K(y * z,z) * u,w) = x. K(K(x * y,y) * z,u) = K(K(y,x) * z,u). K(T(x,y) \ z,u) = K(K(x,y) * (x \ z),u). K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). K(K(x,y \ z) * u,w) != v5 | K(K(z \ y,x) * u,w) = v5. K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. K(K(x * (y * z),L(z,y,x)) * u,w) = K(K(L(z,y,x),x * y) * u,w). K(K(x * y,y) * z,u) != w | K(K(y,x) * z,u) = w. K(K(x \ y,z) * u,w) != v5 | K(K(z,y \ x) * u,w) = v5. K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. K(x,y * K(z,K(u,w) * v5)) != v6 | K(x,K(v5,z) * y) = v6. K(x,K(y,z) * u) = K(x,K(K(w,v5) * y,z) * u). K(x,K(K(y,z) * u,w) * v5) = K(x,K(u,w) * v5). K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. K(x,K(y,z * u) * w) != v5 | K(x,K(u * z,y) * w) = v5. K(x,K(y,z * K(u,w)) * v5) != v6 | K(x,K(z,y) * v5) = v6. K(T(x,y),K(z,u) * w) = K(x,T(K(u,T(z,v5)) * w,y)). K(x,T(K(y,T(z,u)) * w,v5)) = K(T(x,v5),K(z,y) * w). K(x,K(y,z) * u) = K(x,K(z,w / (w * y)) * u). K(x,K(y,z / (z * u)) * w) = K(x,K(u,y) * w). K(x,K(y,z) * u) = K(x,K(z,T(y,w)) * u). K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,(K(y,z) * u) * w) * K(x,K(u,w)) = K(x,w * (K(y,z) * u)). K(x,K(y * T(z,u),w)) = K(x,K(y * z,w)). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K((y * K(z,u)) * x,w). (x * T(y,z)) * K(u,K(x * y,w)) != v5 | T(x * T(y,z),K(u,w)) = v5. K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). K(x \ (y * (z / y)),u) = K(T(z,y) \ x,u \ 1). K(T(x,y) \ z,u \ 1) = K(z \ (y * (x / y)),u). K((x * y) \ (z * y),u) != w | K(z / x,L(T(u,z * y),z,y)) = w. K(x / y,L(T(z,x * (u / y)),x,u / y)) = K(T(u,y) \ (x * (u / y)),z). K(x \ T(y,z),u) = K(x \ (z * (y / z)),u). K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). K(x / y,z) = K(y \ T(x,y),z). K(x \ T(y,x),z) = K(y / x,z). K(x * K(K(y,z) * u,w),v5) = K(K(u,w) * x,v5). a(x,y,K(z * K(u,w),v5)) != v6 | a(x,y,K(K(w,u) * z,v5)) = v6. (x * K(y,z)) * (u * K(z,y)) = (K(y,z) * x) * (u * K(z,T(y,x))). (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (u * K(y,x)). x != K(K(y,z) * u,w) | K(K(z,y) * u,w) = x. K(K(x,y) * z,u) = K(K(K(w,v5) * y,x) * z,u). K(K(K(x,y) * z,u) * w,v5) = K(K(u,z) * w,v5). K(K((x / y) * z,u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). K(K(((x * y) * R(z,x,y)) * u,w) * v5,v6) = K(K(((z * x) * y) * u,w) * v5,v6). K(K(x,(y \ z) * u) * w,v5) = K(K((z / y) * u,x) * w,v5). K(K((x / y) * z,u) * w,v5) = K(K(u,(y \ x) * z) * w,v5). (x * K(K((y \ z) * u,w) * v5,v6)) \ x = K(v6,K((z / y) * u,w) * v5). K(K(x,(y / z) * u) * w,v5) = K(K(x,(z \ y) * u) * w,v5). K(x * K(y,(z / u) * w),v5) = K(K(y,(u \ z) * w) * x,v5). K(K(x,(y \ z) * u) * w,v5) = K(w * K(x,(z / y) * u),v5). K(K((x / y) * z,u) * w,v5) != v6 | K(K((y \ x) * z,u) * w,v5) = v6. K(L(x / y,y,K(z,u)),w) = K((K(z,u) * x) / (K(z,u) * y),w). K(x / (y * T(z,u)),w) = K(x * ((y * z) \ K(u,z)),w). K(x * ((y * z) \ K(u,z)),w) = K(x / (y * T(z,u)),w). K(x,y * (T(z,u) \ w)) * K(x,K(y,z \ w)) = K(x,(T(z,u) \ w) * y). K(x,y * (T(z,u) \ w)) * K(x,K(y,w / z)) = K(x,(T(z,u) \ w) * y). 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,K(y,z * u) * w) = K(x,K(y,u * z) * w). K(x,K(y,z * u) * w) != v5 | K(x,K(y,u * z) * w) = v5. K(x,K(y,z) * u) = K(x,K(z,y * K(w,v5)) * u). K(x,K(y,z * K(u,w)) * v5) = K(x,K(z,y) * v5). K(x,K(y,z * (u * (w * T(v5,v6))))) = K(x,K(y,z * (u * (w * v5)))). K(x,K(y,z * (u * (w * v5)))) = K(x,K(y,z * (u * (v5 * w)))). T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,v6) * u) * w,v5)) = K(((T(y,z) * u) * w) * x,v5). K(K(K(x,y) * z,u) * w,v5) != v6 | K(K(z,u) * w,v5) = v6. K(x * (K(y,z) * (u * y)),w) = K(x * (u * T(y,z)),w). K(x * (K(y \ z,y) * (u * z)),w) = K(x * (u * ((y \ z) * y)),w). K((K(x,y) * z) * u,w) * K(z,K(u,w)) = K(u * (K(x,y) * z),w). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,(z * K(u,w)) * y). K(x,K(y,z)) * K(x,y * (K(u,w) \ (z \ 1))) = K(x,(K(u,w) \ (z \ 1)) * y). K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K((K(x,y) * z) * (u \ 1),T(w,z \ K(y,x))) != v5 | K(((u \ 1) * u) / ((z \ K(y,x)) * u),w) = v5. K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y)). K(x,T(y,z)) * (z \ K(u,w)) = (z \ K(u,w)) * K(x,y). x != (y \ K(z,u)) * K(w,L(v5,v6,v6 \ (K(u,z) * y))) | ((y \ K(z,u)) / (v6 \ 1)) * (v6 \ K(w,v5)) = x. ((x \ K(y,z)) / (u \ 1)) * (u \ K(w,v5)) = K(w,T(L(v5,u,u \ (K(z,y) * x)),x)) * (x \ K(y,z)). K(x,T(L(y,z,z \ (K(u,w) * v5)),v5)) * (v5 \ K(w,u)) = ((v5 \ K(w,u)) / (z \ 1)) * (z \ K(x,y)). K(x,L(T(y,z),u,u \ (K(w,v5) * z))) * (z \ K(v5,w)) = ((z \ K(v5,w)) / (u \ 1)) * (u \ K(x,y)). K(K((T(x,y) \ z) * u,w) * v5,v6) = K(K(w,(x \ z) * u) * v5,v6). K(K(x * (y * K(z,u)),w) * v5,v6) = K(K(w,x * y) * v5,v6). K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K(w,x * (y \ u)) * v5,v6). K(K(x * (y * z),u) * w,v5) = K(K(u,x * (y * T(z,v6))) * w,v5). K(K(x,y * (z * T(u,w))) * v5,v6) = K(K(y * (z * u),x) * v5,v6). 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,(u \ z) * w),v5). K(x * (K(y,x) * z),u) = K(x * (z * K(x,y)),u). x != K(y * (z * K(y,u)),w) | K(T(y,u) * z,w) = x. K(T(x,y) * z,u) = K(x * (K(y,x) * z),u). K(x * (K(y,x) * z),u) = K(T(x,y) * z,u). K(x * (K(y,x) * z),u) != w | K((y * (x / y)) * z,u) = w. K((x * (y / x)) * z,u) = K(T(y,x) * z,u). K(((x * y) / x) * z,u) = K(T(y,x) * z,u). K((x / y) * z,u) = K(T(y \ x,y) * z,u). K(T(x \ y,x) * z,u) = K((y / x) * z,u). K(T(x,y) * z,L(u,z,y \ 1)) != w | K((y * x) * ((y \ 1) * z),u) = w. K(x,y) * a(x,z,K(T(u,w) * v5,y \ 1)) = K(x,L(y,z,(((w * u) / w) * v5) \ 1)). K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,y) * a(x,z,K(T(w,u) * v5,y \ 1)). K(T(x \ y,x) * z,u) != w | K(T(x \ y,y) * z,u) = w. K(T(x \ y,y) * z,u) = K((y / x) * z,u). 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,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(T(y,z) * u,w)) != v5 | K(x,K(y * u,w)) = v5. K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K((y * z) * u,w)) != v5 | K(x,K(w,u * (z * y))) = v5. T(x,K(y / z,u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. T(x,(y \ K(z,u)) * w) = T(x,(K(z,u) / y) * w). T(x,(K(y,z) / u) * w) = T(x,(u \ K(y,z)) * w). K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(K(z,T(y,w)) * x,(K(z,T(y,w)) * x) \ u). K(K(x,T(y,z)) * u,(K(x,T(y,z)) * u) \ w) = K(u * K(y,x),w / (K(x,T(y,z)) * u)). x * a(x,y,K(z * K(u,w),v5)) = T(x,a(v5,y,K(w,T(u,v6)) * z)). T(x,a(y,z,K(u,T(w,v5)) * v6)) = x * a(x,z,K(v6 * K(w,u),y)). T(x,a(y,z,K(u,T(w,v5)) * v6)) != v7 | T(x,a(y,z,v6 * K(w,u))) = v7. K(x,K(y,z * u)) = K(x,K(y,(y * u) * z)). K(x,K(y,(y * z) * u)) = K(x,K(y,u * z)). K(x,K(y,z * u)) * K(y * (u * T(z,w)),x) = K((u * T(z,w)) * y,x). K(x,K(y,z * u)) * K(y * (z * T(u,w)),x) = K((z * T(u,w)) * y,x). K(x,T(y,(z / u) * w)) != v5 | K(x,T(y,(u \ z) * w)) = v5. K(x,T(y,z * K(u,w))) != v5 | K(x,T(y,z)) = v5. K(x / (K(y,z) * u),w) != v5 | K((K(y,z) * u) \ x,T(w,u)) = v5. T(x,K(y,L(z,u,w \ 1)) / u) != v5 | T(x,((w * u) * K(z,y)) \ w) = v5. T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,L(u,z,y \ 1))). x != K(y * (z \ 1),u) | K(y / z,u) = x. K((K(x,y) * z) / u,T(w,z)) = K(((u \ 1) * u) / ((z \ K(y,x)) * u),w). ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(u,y * x)) * ((x * K(z,u)) * y). K(x,(y * (z * u)) / u) * K(x,K(u,(u * z) * y)) = K(x,T(u,z) \ (y * (u * z))). K(x,K(y,z * (u * K(w,v5))) * v6) != v7 | K(x,K(z * u,y) * v6) = v7. K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). K(x,T(y,z) / u) = K(x,T(u,y) \ T(y,z)). K(x,T(y,z) \ T(z,u)) = K(x,T(z,u) / y). K(x,T(y,z) \ u) != w | K(x,T(y,T(z,v5)) \ u) = w. K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,w) / y). K((x / T(y,z)) / u,T(w,y \ x)) != v5 | K(u \ (x / T(y,z)),w) = v5. K(x * (y * T(z,u)),w) = K((y * T(z,u)) * x,T(w,y * z)). K((x * T(y,z)) * u,T(w,x * y)) = K(u * (x * T(y,z)),w). x != K(y,K(z,u) * (w \ z)) | K(y,w \ T(z,u)) = x. K(x,y \ T(z,u)) = K(x,y \ T(z,z \ u)). K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,z * u)). K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). K(x,T(y,T(z,u)) \ T(z,w)) != v5 | K(x,T(z,w) / y) = v5. K(x,T(y,y * z) / u) = K(x,T(u,T(y,w)) \ T(y,z)). K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,z * w) / y). 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). T(x,K(y,z) * (y \ u)) != w | T(x,T(y,z) \ u) = w. T(x,T(y,z) \ z) = T(x,y \ T(z,y)). x != T(y,K(z,u) * (u * w)) | T(y,T(u,z) * w) = x. T(x,T(y,z) * u) = T(x,T(y,K(w,v5) * z) * u). T(x,T(y,K(z,u) * w) * v5) = T(x,T(y,w) * v5). T(x,T(y,K(z,u) * w) * (w \ K(u,z))) != v5 | T(x,y / T(K(z,u) * w,y)) = v5. T(x,y / T(K(z,u) * w,y)) = T(x,T(y,w) * (w \ K(u,z))). T(x,y / T(z,y)) != u | T(x,z \ y) = u. T(x,(K(y,z) * u) \ w) = T(x,T(w,u) * (u \ K(z,y))). T(x,T(y,z) * (z \ K(u,w))) = T(x,(K(w,u) * z) \ y). K(x * K(T(y,z) \ u,w),v5) = K(K(y \ u,w) * x,v5). x * (K(y / z,u) * K(x * K(z \ y,u),x)) = T(x * K(y / z,u),x). x * K(x / T(y,x),z) = T(x * K(x / y,z),x). x * K(y \ x,z) = T(x * K(x / y,z),x). 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). x = L(x,K(y \ x,z),x). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. 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. T(x * K(y,z),x) = K(y,z) * x. x != K(y,L(z,u \ 1,u * w)) * w | (K(y,z) / u) * ((u \ 1) \ w) = x. (K(x,y) / z) * ((z \ 1) \ u) = T(u * K(x,L(y,z \ 1,z * u)),u). T(x * K(y,L(z,u \ 1,u * x)),x) = (K(y,z) / u) * ((u \ 1) \ x). (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),R(z,u,u \ 1)) = L(a(z,u,u \ 1),z,K(x,y)). T((x / (y \ 1)) * (y \ K(z,u)),x) = K(z,L(u,y,y \ (x \ 1))) * x. T((x / (y \ 1)) * (y \ K(z,u)),x) = (K(z,u) / y) * ((y \ 1) \ x). T((x / (y \ 1)) * (y \ K(z,u)),x) != w | K(z,L(u,y,y \ (x \ 1))) * x = w. K(x,L(y,z,z \ (u \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (K(x,y) / z) * ((z \ 1) \ (v5 * K(w,u))). ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) = (((u \ 1) / z) * (z * K(y,x))) \ K(w,v5). (((x \ 1) / y) * (y * K(z,u))) \ K(w,v5) = ((K(u,z) / y) * ((y \ 1) \ x)) * K(w,v5). (((x \ 1) / y) * (y * K(z,u))) \ K(w,v5) != v6 | ((K(z,L(u,y,(y * K(u,z)) \ (x \ 1))) \ 1) * x) * K(w,v5) = v6. ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). K((x * T(y,z)) / (x * z),u) = K(y / z,L(T(u,x * z),z,x)). K(x / y,L(T(z,u * y),y,u)) = K((u * T(x,y)) / (u * y),z). K(((x / y) * T(z,y)) / x,u) = K(z / y,L(T(u,x),y,y \ x)). K(x / y,L(T(z,u),y,y \ u)) = K(((u / y) * T(x,y)) / u,z). K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u / ((z * y) / z)). K(x,y / ((z * u) / z)) = K(x,T(u,z) \ y) * K(x,K(u,y)). x != K(y,T(z,u) \ w) * K(y,K(z,w)) | K(y,w / T(z,u)) = x. K(x,y / T(z,u)) = K(x,y / ((u * z) / u)). K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) != u | x * K(K(y,z) * x,x) = u. x * K(K(y,z) * x,x) = T(x,K(y,z)). K(x,y * z) = K(x,y * (K(u,K(w,v5)) * z)). K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(L(v5 * K(z,K(u,w)),K(z,K(u,w)),y),y * K(z,K(u,w)),x). L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). K(x,(y \ T(z,K(u,w))) / T(v5,y \ z)) = K(x,v5 \ (y \ T(z,K(u,w)))). x \ T(y * T(x,K(z,(u * ((w \ 1) * v5)) \ v6)),K(z,v6 * (((v5 \ 1) * w) * (u \ 1)))) = T(y,K(v6 * (((v5 \ 1) * w) * (u \ 1)),z) * x). K(x,K(y * (x * z),T(u,w))) * K(u,(y * (z * x)) / x) = K(u,T(x,z) \ (y * (x * z))). K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). 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)). x * K(x * K(y,z),x) = T(x,K(y,z)). K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). K(x,K(y,z * u)) * K((z * T(u,w)) * y,x) = K(y * (z * T(u,w)),x). K(x,K(y,z * u)) * K((z * T(u,y * z)) * y,x) = K(L(u,z,y) * (y * z),x). K(x,K(y,z)) * K(x,T(z,u) * y) = K(x,y * T(z,u)). K(K(x * K(y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. K(K(x \ ((y \ 1) * z),u) * w,v5) != v6 | K(K(x * ((z \ 1) * y),u) * w,v5) = v6. K(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). K(K(x,x \ (K(y,z) * (u * z))) * w,v5) = K(K(x,u * T(z,y)) * w,v5). K(x,T(K(y,z) * u,w)) = K(x,T(K(z,T(y,v5)) * u,w)). K(x,T(K(y,T(z,u)) * w,v5)) = K(x,T(K(z,y) * w,v5)). K(x,T(K(y,z) * u,w)) != v5 | K(x,T(u * K(y,z),w)) = v5. K(x,T(y * K(z,T(u,w)),v5)) = K(x,T(K(u,z) * y,v5)). x / (y \ R(y,z,y)) != u | x * (K(z,y) * K(y,y * z)) = u. x * (K(y,z) * K(z,z * y)) = R(z,y,z) \ (z * x). x * (R(y,z,y) \ y) = R(y,z,y) \ (y * x). R(x,y,x) \ (x * z) = z * (R(x,y,x) \ x). (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = L(a(z,u,u \ 1),z,K(x,y)). T(x,y * (z * (K(u,w) / v5))) != v6 | T(x,y * (z * (v5 \ K(u,w)))) = v6. T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y / ((u * K(v5,w)) * z)). K(K(x * ((y * z) * R(u,y,z)),w) * v5,v6) = K(K(((u * y) * z) * x,w) * v5,v6). K(K(x,y) * (x \ z),u) != w | K(T(x \ 1,y) * z,u) = w. K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). K((x / y) \ z,u) = K(T(y \ x,y) \ z,u). K(T(x \ y,x) \ z,u) = K((y / x) \ z,u). K(T(x \ y,x) \ z,u) != w | K(T(x \ y,y) \ z,u) = w. K(T(x \ y,y) \ z,u) = K((y / x) \ z,u). K(T(x,y) \ z,u) = K((y / (y / x)) \ z,u). K((x / (x / y)) \ z,u) = K(T(y,x) \ z,u). K(T(x,y) \ y,z) != u | K(y / x,z) = u. K(x,K(y,z) * (u * z)) != w | K(x,u * T(z,y)) = w. K(x,K(y,z * (u * w))) = K(x,K(y,z * (u * (v5 * (w / v5))))). K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). x != K(y,K(z,u * (w * (v5 * T(v6,v7))))) | K(y,K(z,u * (w * (v5 * v6)))) = x. K(x,K(y,z * (u * (w * v5)))) = K(x,K(y,z * (u * (T(v5,v6) * w)))). K(x,K(y,z * (u * (T(w,v5) * v6)))) = K(x,K(y,z * (u * (v6 * w)))). K(x,T(y \ 1,z) \ u) != w | K(x,T(y,z) * u) = w. 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,(((K(y,z) * u) \ w) * (K(y,z) * u)) * v5) != v6 | K(x,T(w \ 1,u \ K(z,y)) \ v5) = v6. K(x,T(y \ 1,z \ K(u,w)) \ v5) = K(x,T(y,K(w,u) * z) * v5). 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,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). T(x,y) \ (x * (K(y * x,z) * y)) = L(T(K(x * y,z) * y,x),x,K(x,y)). L(T(K(x * y,z) * y,x),x,K(x,y)) = 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),y,K(y,x)). L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). T(K(x * y,z) * y,x) = 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(z,u) * x) != w | K(z,u) * T(x,y) = w. 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). T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). x != K(y,(z \ 1) * u) | K(y,z \ u) = x. K(x,y \ z) = T((y \ 1) * K((y \ 1) * z,x),z) \ T(y \ 1,T(z,x)). T((x \ 1) * K((x \ 1) * y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). T(x * K(x * ((y \ z) \ 1),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). T((x \ 1) * K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). x != K(y,z \ u) | K(y,(z \ 1) * u) = x. K(x,(y \ 1) * z) = T(y \ K(y \ z,x),z) \ T(y \ 1,T(z,x)). T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,(x \ 1) * y). T(x \ K(x \ (y / T(z,y)),u),z \ y) \ T(x \ 1,T(y / T(z,y),u)) = K(u,x \ (y / T(z,y))). T(x \ K(y * x,z \ 1),y \ 1) \ T(x \ 1,T(y \ 1,z)) = K(z,x \ (y \ 1)). T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) != u | K(z,x \ y) = u. T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T((y \ 1) \ z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). K(x,y \ ((z \ 1) \ u)) = T(y \ K(y \ ((z \ 1) \ u),x),z * u) \ T(y \ 1,T(z * u,x)). T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,x \ ((y \ 1) \ z)). x != K(y,y \ (z \ u)) | K(y,(z * y) \ u) = x. K(x,((y \ 1) * x) \ z) = T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)). T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,((y \ 1) * x) \ z). T(x \ K(x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,((y \ 1) * x) \ z). x != K(y,((z \ 1) * y) \ u) | K(y,z * (y \ u)) = x. K(x,y * (x \ z)) = T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z). T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). T(x,K(y,(z / x) \ 1)) != u | (z * T(z \ x,y)) / K((z / x) \ 1,y) = u. (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). x != T(y / z,K(u,(1 / z) \ (y / z))) | T(y / z,K(y,u)) = x. T(x / y,K(x,z)) = (T(x,z) / y) / K(((1 / y) / (x / y)) \ 1,z). (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). T(T(x,K(y,z * u)),(z * T(u,w)) * y) = T(x,y * (z * T(u,w))). K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,T(y,K(z,u * w))) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,y) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) * ((1 / x) * K(y,z)). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). K(x \ K(T(y,x * z),u),T(w,z)) = K(T(x,z) \ K(y,u),w). K(x \ K(y,T(z,x * u)),T(w,u)) = K(T(x,u) \ K(y,z),w). K((T(x,y) * z) * u,w) * K(u,K(w,x * z)) = K(u * (T(x,y) * z),w). K((T(x,y) * z) * u,w) * K(u,K(w,T(x,v5) * z)) = K(u * (T(x,y) * z),w). K((T(x,y) * z) * u,w) * K(T(x,v5) * z,K(u,w)) = K(u * (T(x,y) * z),w). K(x,K(y * z,u) * w) = K(x,K(u,y * (z * K(v5,v6))) * w). K(x,K(y,z * (u * K(w,v5))) * v6) = K(x,K(z * u,y) * v6). x != K(y,K(z,u \ w)) | K(y,K(z,w \ T(u,v5))) = x. K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ T(u,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))). x != K(y,K(z,(u * w) \ v5)) | K(y,K(z,v5 \ (w * u))) = x. K(x,K(y,(z * u) \ (w * v5))) = K(x,K(y,(u * z) \ (v5 * w))). K(x * (y \ T(z,u)),w) * K(x,K(w,y \ T(z,v5))) = K((y \ T(z,u)) * x,w). K(T(x,y) * z,u) * K(x,K(z,u)) = K(z * (y * (x / y)),u). K(x * (y * (z / y)),u) = K(T(z,y) * x,u) * K(z,K(x,u)). x != K(T(y,z) * u,w) * K(y,K(u,w)) | K(u * T(y,z),w) = x. K(x * T(y,z),u) = K(x * (z * (y / z)),u). K(x * (y * (z / y)),u) = K(x * T(z,y),u). K(x * (T(T(y,K(z,u)),w) \ v5),v6) = K(x * (T(y,w) \ v5),v6). K(x * (T(y,T(z,u)) \ w),v5) = K(x * (T(y,z) \ w),v5). K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. K(x,y * (z * K(u,w))) = K(x,y * (z * K(u \ 1,w))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). K(x,y * (z * K(z \ 1,u))) != w | K(x,y * (((u * (z \ 1)) / u) \ 1)) = w. K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). K(x,y * z) = K(x,z * T(y,y * (x * z))). K(x,y * T(z,z * (x * y))) = K(x,z * y). K(x,y / T((z \ 1) \ u,w)) = K(x,y * T((u \ 1) / z,w)). K(x,y / T(a(z \ 1,u,u \ 1),w)) = K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)). K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,y / T(a(z \ 1,u,u \ 1),w)). K(x,y * T(z,x * y)) = K(x,z * y). K(x,y * z) * x = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * z) = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = T(x,z * y). T(x,K(y,z) * u) != w | u \ T(x * T(u,K(y,z)),K(z,y)) = w. T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). K(x,T(y,z)) * T(u * K(y,x),w) != v5 | K(x,y) * T(u * K(y,T(x,z)),w) = v5. K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,T(u,y)),x) = w. L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). K(x,T(L(T(y,K(z,u) * w),v5,v6),v7)) = K(T(x,v7),L(T(y,w),v5,v6)). K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,T(z,v6) * u),w,v5)). K(x,L(T(y,T(z,u) * w),v5,v6)) = K(x,L(T(y,z * w),v5,v6)). K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). K(x,L(T(y / z,y * u),y,u)) != w | K(x,(z * u) \ (y * u)) = w. K(x,(y * T(z,u)) \ (w * T(z,u))) = K(x,L(T(w / y,w * z),w,T(z,u))). K(x,L(T(y / z,y * u),y,T(u,w))) = K(x,(z * T(u,w)) \ (y * T(u,w))). K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,z * (w / u)),v5,v6)). K(x,L(T(y,z * (u / w)),v5,v6)) = K(x,L(T(y,z * (w \ u)),v5,v6)). K(x,T(y,z) * u) != w * K(x,K(u,T(y,v5))) | K(x,u * T(y,z)) = w. x * R(K(y,K(z,u)),w,w \ x) = (K(u,K(y,z)) * w) * (w \ x). x * K(y,K(z,R(u,w,w \ x))) = (K(z,K(u,y)) * w) * (w \ x). K(x,y) * K(y,K(z,x)) = (K(z,K(x,y)) * u) * (u \ K(x,y)). (K(x,K(y,z)) * u) * (u \ K(y,z)) = K(y,z) * K(z,K(x,y)). x != K(y,z) * K(z,K(u,y)) | T(K(y,z),u) = x. T(K(x,y),z) = (K(z,K(x,y)) * u) * (u \ K(x,y)). (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. K(x,T(y,z)) / u = K(x,K(y,z)) * (K(x,y) / u). K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. T(K(x,y) / z,K(x,K(y,u))) = (K(x,T(y,u)) / z) * K(x,K(y,u)). (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). (K(x,T(y,z)) / u) * w != T(K(x,y) / u,K(K(x,y),z)) | K(z,(K(x,y) / u) / (u \ 1)) = w. K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). K(x,(y / z) / (z \ 1)) != u | K(x,(z \ 1) \ (z \ y)) = u. K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). K(x,(y \ 1) \ (y \ K(z,u))) != w | (y \ K(z,u)) \ (y \ K(z,T(u,x))) = w. (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). K(x,K(y,z)) * (u \ K(x,y)) = u \ K(x,T(y,z)). K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). K(x * (y \ K(z,T(u,w))),v5) = K(x * (y \ K(z,u)),v5). K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(u * z,w)),v5). K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). K(x \ K(y,T(z,x * u)),T(w,u)) != v5 | K(T(x,u) \ K(y,z),w) = v5. K(T(x,y) \ K(z,u),w) = K(x \ K(z,u),T(w,y)). K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u \ K(z,y),w) * v5) = v6. K(x,K(y \ K(z,u),w) * v5) = K(x,K(y,w) * v5). K(x,y * T(z \ K(u,w),v5)) = K(x,K(z,v5) * (y * (z \ K(u,w)))). K(x,K(y,z) * (u * (y \ K(w,v5)))) = K(x,u * T(y \ K(w,v5),z)). K(x,K(y,z \ K(u,w)) * v5) = K(x,K(z,y) * v5). K(x,K(y,(z * u) \ u) * w) = K(x,K(z,y) * w). K(x,K(y,y \ z) * (z \ u)) != w | K(x,T(z,y) \ u) = w. K(x,T(y,z * y) \ u) = K(x,K(z,z * y) * (y \ u)). K(x,K(y,y * z) * (z \ u)) = K(x,T(z,y * z) \ u). K(x,K(y,z)) * K(x,y * (K(u,w) * (z \ 1))) = K(x,(K(w,u) \ (z \ 1)) * y). K(x,K(y,z)) * K(x,y * (K(u,L(w,v5,v6)) * (z \ 1))) = K(x,(K(w,L(u,v5,v6)) \ (z \ 1)) * y). T(T(x,K(y,z)),T(y,u) * (z \ 1)) = T(x,(z \ 1) * T(y,u)). T(T(x,K(y,z * u)),T(u * z,w) * y) = T(x,y * T(u * z,w)). T(x,K(y,(z / u) * w)) != v5 | T(x,K(y,(u \ z) * w)) = v5. T(x,K(y,z * K(u,w))) != v5 | T(x,K(y,z)) = v5. K(x * K(y,z),(K(z,T(y,u)) * x) \ w) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),(K(z,T(y,w)) * x) \ u). K(x,K(y,z * u) * w) = K(x,K(z * T(u,v5),y) * w). K(x,K(y * T(z,u),w) * v5) = K(x,K(w,y * z) * v5). K(x,K(y,z * T(u,w)) * v5) = K(x,K(y,z * u) * v5). K(x,y) != z | (x \ 1) * T(x,y) = z. (x \ 1) * T(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). (x \ 1) * T(x,K(y,z) * (u * z)) = K(x,u * T(z,y \ 1)). (x \ 1) * T(x,y * T(z,u)) = K(x,y * T(z,u \ 1)). 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)). (x * K(y,z * T(u,w))) \ x = K(z * T(u,w \ 1),y). K(x,y * T(z,(u \ T(w,v5)) \ 1)) = K(x,y * T(z,K(v5,w) * (u \ w))). K(x * T(y,z \ 1),u) != w | K(x * T(y,z),u) = w. K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,K(w,u) * (v5 \ u))). K(x,y * T(z,K(u,w) * (v5 \ w))) = K(x,y * T(z,T(w,u) \ v5)). x * K(x,(y * z) * u) = T(x,T(z * y,z) * u). T(x,T(y * z,y) * u) = x * K(x,(z * y) * u). T(x,(y * z) * u) = T(x,T(z * y,z) * u). T(x,T(y * z,y) * u) = T(x,(z * y) * u). T(T(x,K(y,z * u)),T(u * z,w) * y) != v5 | T(x,y * T(u * z,w)) = v5. T(x,y * T(z * u,z)) = T(T(x,K(y,u * z)),(u * z) * y). T(T(x,K(y,z * u)),(z * u) * y) = T(x,y * T(u * z,u)). T(x,y * (z * u)) = T(x,y * T(u * z,u)). T(x,y * T(z * u,z)) = T(x,y * (u * z)). T(x,y * T(z,u)) = T(x,y * ((u \ z) * u)). T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). K(x,T(y,z) * z) != u | K(x,z * y) = u. K(x,T(y,z) * u) = K(x,T(u,y) * T(y,z)). K(x,T(y,z) * T(z,u)) = K(x,T(z,u) * y). K(x,T(y,z) * u) != w | K(x,T(y,T(z,v5)) * u) = w. K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w) * y). K(x,y * T(z,u \ 1)) != w | K(x,y * T(z,u)) = w. K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w \ 1) * y). K(x,T(y,T(z,u)) * T(z,w)) != v5 | K(x,T(z,w) * y) = v5. K(x,T(y,z) * u) = K(x,T(y,z \ 1) * u). K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). K(x,T(y,(z \ 1) * (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). K(x,T(y,(z \ T(u,w)) \ 1) * v5) = K(x,T(y,K(w,u) * (z \ u)) * v5). K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). K(x,T(y,T(z,u) \ w) * v5) = K(x,T(y,K(u,z) * (w \ z)) * v5). K(x,T(y,K(z,u) * (w \ u)) * v5) = K(x,T(y,T(u,z) \ w) * v5). K(x,y * K(z,u)) != w | K(x,y * K(z,T(u,v5))) = w. K(x,y * K(z,T(u \ (w \ 1),v5))) = K(x,K(w * u,z) * y). K(((x * K(y,z)) * u) * w,v5) = K(K(x,u) * ((u * (x * K(y,z))) * w),v5). K(K(x,y) * ((y * (x * K(z,u))) * w),v5) = K(((x * K(z,u)) * y) * w,v5). K((K(x * K(y,z),u) * w) * v5,v6) = K(K(x,L(u,w,v5)) * (w * v5),v6). K(K(x,L(y,z,u)) * (z * u),w) = K((K(x * K(v5,v6),y) * z) * u,w). K(x,K(y,z * (u * x))) = K(x,K(y,u * z)). K(x * (y * K(z,u)),T(w,y * K(v5,v6))) != v7 | K((y * K(z,u)) * x,w) = v7. (x \ y) * K(x,K(y,z)) != u | T((x \ y) * K(z,y / x),z) = u. T((x \ y) * K(z,y / x),z) = T(x,K(y,z)) \ y. T(x \ y,K(z,y)) = T(x,K(y,z)) \ y. T(x,K(y,z)) \ y = T(x \ y,K(z,y)). T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. T(x,K(y,z)) \ y = T(x \ y,K(y,z)). K(x,K(y / z,u) * w) != v5 | K(x,K(z \ y,u) * w) = v5. K(x,K((T(y,z) \ u) * w,v5) * v6) != v7 | K(x,K((y \ u) * w,v5) * v6) = v7. K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(y * ((u \ 1) \ z),w) * v5). K(x,K(y \ z,(z / y) \ u) * (u \ w)) = K(x,T(u,z / y) \ w). K(x,K(y,z * (x * u))) * K(y,(z * (u * x)) / x) = K(y,T(x,u) \ (z * (x * u))). K(x,K(y,z * u)) * K(y,(u * (z * x)) / x) = K(y,T(x,z) \ (u * (x * z))). K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,T(u,z) \ (y * (u * z))). K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) != w | K(x,u \ (y * (z * u))) = w. K(x,y \ (z * (u * y))) = K(x,T(y,u) \ (z * (y * u))). K(x,T(y,z) \ (u * (y * z))) = K(x,y \ (u * (z * y))). K(x,T(y,z) \ (u * (y * z))) != w | K(y,K(x,z * u)) * K(x,(u * (z * y)) / y) = w. K(x,K(y,z * u)) * K(y,(u * (z * x)) / x) = K(y,x \ (u * (z * x))). K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. K(x,(y * (z * T(u,w))) / (y * T(u,w))) = K(x,L(T(T(z,T(u,w)),u * y),T(u,w),y)). K(x,L(T(T(y,T(z,u)),z * w),T(z,u),w)) = K(x,(w * (y * T(z,u))) / (w * T(z,u))). (K(x,y) * (K(z,u) * w)) * a(x,K(z,u),K(w,y)) = (K(z,u) * K(x,y)) * w. K((K(x,y) * T(x,z)) * u,w) = K(T(T(x,z),y) * u,w). K(K(x,y) * (T(x,z) * u),w) = K(T(T(x,z),y) * u,w). K(K(x / T(y,z),u) * ((y \ x) * (y * K(z,y))),w) = K(T(T(x / T(y,z),y),u) * y,w). K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). K(x,K(y,z)) = K(x,K(z,u * ((u * x) \ y))). K(x,K(y,z * ((z * x) \ u))) = K(x,K(u,y)). K(x,K(y,z) * (u * (y * K(w,v5)))) != v6 | K(x,u * T(y * K(w,v5),z)) = v6. T(x \ K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). T(x,x \ y) * K(z,y / x) = T(x \ y,z) \ y. x * (T(T(x,y),K(z,u)) \ w) = T(x,K(z,u)) * (T(x,y) \ w). T(x,K(y,z)) * (T(x,u) \ w) = x * (T(T(x,u),K(y,z)) \ w). K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,u),K(y,z)) \ w). K(x,y) * (K(y,K(z,u)) * w) = y * (T(T(y,x),K(z,u)) \ w). K(x,y) * (K(z,x) * u) != w | (K(x,y) * K(z,x)) * u = w. (K(x,K(y,z)) * K(u,x)) * w = x * (T(T(x,u),K(y,z)) \ w). K(x * T(x \ y,z),u) * K(x,K(u,y / x)) = K(x * T(y / x,z),u). K(x * T(x \ y,z),u) * K(x,K(u,y)) = K(x * T(y / x,z),u). K(x * T(x \ y,z),u) * K(x,K(y,u)) = K(x * T(y / x,z),u). T(x \ K(x \ K(y,z),u),K(y,z) \ 1) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). T(x \ K(x \ K(y,z),u),K(z,y)) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(y,x) \ 1,u)) = K(u,z \ (K(y,x) \ 1)). (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(x,y),u)) = K(u,z \ (K(y,x) \ 1)). (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ (K(y,x) \ 1)). (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ K(x,y)). K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(T(x,v5),L(T(y,w),v6,v7)). K(x,T(L(T(y,z),u,w),v5)) = K(x,L(T(T(y,K(v6,v7) * z),v5),u,w)). K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,T(L(T(y,w),v6,v7),v5)). K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,L(T(T(y,w),v5),v6,v7)). K(x,L(T(T(y,T(z,u)),w),v5,v6)) = K(x,L(T(T(y,z),w),v5,v6)). K(x,L(T(T(y,T(z,u)),z * w),T(z,u),w)) != v5 | K(x,(w * (y * T(z,u))) / (w * T(z,u))) = v5. K(x,(y * (z * T(u,w))) / (y * T(u,w))) = K(x,L(T(T(z,u),u * y),T(u,w),y)). K(x,L(T(T(y,z),z * u),T(z,w),u)) = K(x,(u * (y * T(z,w))) / (u * T(z,w))). K(x,L(T(T(y,z),z * u),T(z,w),u)) != v5 | K(x,(u * T(z,w)) / (u * (y \ T(z,w)))) = v5. K(x,K(y,z)) = K(x * K(y,z),x). K(x * K(y,z),x) = K(x,K(y,z)). T(T(x * K(y,z),u),T(x,u)) = K(x,K(y,z)) * T(x * K(y,z),u). K(x,L(y / T(z * K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) = K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))). T(x \ K(x \ (K(y,z \ (u \ 1)) * K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). T(x \ K(x \ K(y,z \ (u \ 1)),w),K(y,z \ (u \ 1))) \ T(x \ 1,T(K(y,u \ (z \ 1)) * K(y,K(u,z)),w)) = K(w,x \ ((K(y,u \ (z \ 1)) \ 1) \ K(y,K(u,z)))). K(T(x \ 1,y) * z,T(u,x)) = K(z * T(x \ 1,y),u). K(T(x \ 1,y) * z,u) != w | K(T(x,y) \ z,u) = w. K(T(x,y) \ z,T(u,x)) = K(z * T(x \ 1,y),u). K(x / T(y,z),u) = K(x * T(y \ 1,z),u). K(x * T(y \ 1,z),u) = K(x / T(y,z),u). K(x * T(y,z),u) = K(x / T(y \ 1,z),u). K(x / T(y \ 1,z),u) = K(x * T(y,z),u). x != K(K(y,z) * u,w \ 1) | K(u \ K(y,z),w) = x. 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 \ 1),u) != w | K(x \ (((v5 / (T(y \ 1,z) \ 1)) \ 1) * (v5 / y)),u) = w. K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u),w). K(x \ K(y,z \ (u \ 1)),w) = K(x \ K(u * z,y),w). T(x \ K(x \ K(y * z,u),w),K(u,z \ (y \ 1))) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). T(x \ K(x \ K(y * z,u),w),K(u,y * z)) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,y \ (z \ 1)) * K(x,K(y,z)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,z \ (y \ 1)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,z \ (y \ 1))) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,y * z)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) != w | K(u,z \ K(x,y)) = w. K(x,y \ K(z,u * w)) = K(x,y \ ((K(z,u \ (w \ 1)) \ 1) \ K(z,K(u,w)))). K(x,y \ ((K(z,u \ (w \ 1)) \ 1) \ K(z,K(u,w)))) = K(x,y \ K(z,u * w)). K(x,y \ (K(z,u \ (w \ 1)) * K(z,K(u,w)))) = K(x,y \ K(z,u * w)). K(x,y \ K(z,u \ (w \ 1))) = K(x,y \ K(z,w * u)). K(x,(x \ T((y * x) \ x,z)) \ K(y,x \ (y \ 1))) != u | K(x,y * (x * K(z,y \ 1))) = u. K(x,y * (x * K(z,y \ 1))) = K(x,(x \ T((y * x) \ x,z)) \ K(y,y * x)). K(x,(x \ T((y * x) \ x,z)) \ K(y,y * x)) = K(x,y * (x * K(z,y \ 1))). K(x,(x \ T((y * x) \ x,z)) \ K(y,x * y)) = K(x,y * (x * K(z,y \ 1))). K(x,y \ K(z,u * z)) != w | K(x,y \ K(z,u)) = w. K(x,(x \ T((y * x) \ x,z)) \ K(y,x)) = K(x,y * (x * K(z,y \ 1))). K(x,(x \ T((y * x) \ x,z)) \ 1) = K(x,y * (x * K(z,y \ 1))). K(x,T((y * x) \ x,z) \ x) = K(x,y * (x * K(z,y \ 1))). K(x,T(((y * x) \ x) \ x,z)) = K(x,y * (x * K(z,y \ 1))). K(x,T((y \ z) \ z,u)) != w | K(x,T(T(y,z),u)) = w. K(x,T(T(y * x,x),z)) = K(x,y * (x * K(z,y \ 1))). K(x,T(y * x,z)) = K(x,y * (x * K(z,y \ 1))). K(x,y * (x * K(z,y \ 1))) = K(x,T(y * x,z)). K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,u * (z \ 1))). x != K(y,T(z,u * (w \ 1))) | K(y,T(z,w \ u)) = x. K(x,T(y,z \ u)) = K(x,T(y,z * (u \ K(w,v5)))). K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,z \ u)). K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. K((x * (y / x)) \ z,T(u,y)) != w | K(z / (x * (y / x)),u) = w. K(x / (y * (z / y)),u) = K(T(z,y) \ x,T(u,z)). K(T(x,y) \ z,T(u,x)) = K(z / (y * (x / 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(T(T(x,y),z) \ (x * u),w) = K((K(y,x) * u) * K(x,T(z,y)),w). K((K(x,y) * z) * K(y,T(u,x)),w) = K(T(T(y,x),u) \ (y * z),w). K(K(x,y) * (z * K(y,T(u,x))),w) = K(T(T(y,x),u) \ (y * z),w). K(x * (y * K(z,T(u,w))),v5) != v6 | K(x * (y * K(z,u)),v5) = v6. K(K(x,y) * (z * K(y,u)),w) = K(T(T(y,x),u) \ (y * z),w). K(T(T(x,y),z) \ (x * u),w) = K(K(y,x) * (u * K(x,z)),w). K((T(T(x,y),z) \ x) * u,w) = K(K(y,x) * (u * K(x,z)),w). K(L((K(x,y) * z) \ 1,K(x,y) * z,u),T(w,u * z)) = K(u / (u * (K(x,y) * z)),w). (x * K((y * (K(z,u) * w)) \ v5,T(v6,y * w))) \ x = K(v6,v5 / (y * (K(z,u) * w))). R(T(x,K(y,z)),u,u \ K(w,v5)) * K(w,v5) = T((x * u) * (u \ K(w,v5)),K(y,z)). (T(x,K(y,z)) * u) * (u \ K(w,v5)) = T((x * u) * (u \ K(w,v5)),K(y,z)). K(L(x \ K(y,z),K(z,y) * x,u),T(w,u * x)) = K(u / (u * (K(z,y) * x)),w). K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(w / (w * (K(z,y) * x)),u). x != K(y / (y * z),u) | K((z * y) \ y,u) = x. K(((K(x,y) * z) * u) \ u,w) = K(z \ K(y,x),L(T(w,u * z),K(x,y) * z,u)). K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((K(z,y) * x) * w) \ w,u). x != K(y,K(z,u)) * T(w,v5) | T(K(y,K(z,u)) * w,v5) = x. T(K(x,K(y,z)) * (x * K(y,z)),u) = T(T(x * K(y,z),u),T(x,u)). T(T(x * K(y,z),u),T(x,u)) = T(K(x,K(y,z)) * (x * K(y,z)),u). T(T(x * K(y,z),u),T(x,u)) = T(T(x,K(y,z)) * K(y,z),u). T(T(x * K(y,z),u),T(x,u)) = T(K(y,z) * x,u). T(x * K(x / (y \ z),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x * ((y \ z) \ 1)). x != K(y,z * (u \ 1)) | K(y,z / u) = x. K(x,y / (z \ u)) = T(y * K(y / (z \ u),x),u \ z) \ T(y,T(u \ z,x)). T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x / (y \ z)). T(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u))) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). T(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y)) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). T(K(x / (y \ z),u) * x,z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u)))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x * K(x / (y \ z),u),x)) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x,K(x / (y \ z),u))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,x / (y \ z)))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ (y * x)))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ y))) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ T(x * K(u,K(x,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ T(T(x,K(u,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). T(x * K((y \ z) \ x,u),z \ y) \ T(x,z \ y) = K(u,x / (y \ z)). T(x * K(((y \ 1) * (K(z,u) / w)) \ x,v5),1 \ ((w * K(u,z)) * y)) \ T(x,1 \ ((w * K(u,z)) * y)) = K(v5,x / (((w * K(u,z)) * y) \ 1)). x != K(y,z) * a(y,u,K(w,z \ 1)) | K(y,L(z,u,w \ 1)) = x. K(x,L(y,z,(T(u,w) * v5) \ 1)) = K(x,L(y,z,(((w * u) / w) * v5) \ 1)). K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,(T(w,u) * v5) \ 1)). K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,(((v5 * w) / v5) * u) \ 1)). K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,v5 \ (T(w,u) \ 1))). K(x,L(y,z,(u * w) \ 1)) != v5 | K(x,L(y,z,w \ (u \ 1))) = v5. K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,u \ (T(v5,w) \ 1))). K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). x * K(y \ 1,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). K(x,K(y,a(z,u,w))) = a(y,u,K(w,K(x,z))). K(x,K(y,a(z,u,w))) != v5 | a(y,u,K(x,K(w,z))) = v5. 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 != 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,((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 * u) / w)) = K(x,K(y,w / (u * 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,(u * z) / 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,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). 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 / (u / w)))) = K(x,K(y,z / w)). 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,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(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(T(y,z) / u,w)) != v5 | K(x,K(y / u,w)) = v5. K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). K(x,K(y,(1 / z) * u)) = K(x,K(y,(K(w,v5) * u) / z)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * 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 * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / (u * w))) = K(x,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 / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. 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,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ 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 / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. 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(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) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). T(L(K(x,y),z,u),w / v5) = T(L(K(x,y),z,u),v5 \ w). K(x,y) * ((1 / y) * K(z,u)) != w | ((1 / y) * K(z,u)) * K(x,y) = w. ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). K(x,T(y,z)) * (K(u,w) / z) != v5 | (K(u,w) / z) * K(x,y) = v5. (K(x,y) / y) * K(z,u) = K(z,T(u,y)) / T(y,x). K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). K(x,T(L(y,z,u),z)) = K(x,((z * y) * u) / (z * u)). K(x,((y * z) * u) / (y * u)) = K(x,T(L(z,y,u),y)). K(x,((y * z) * u) / (y * u)) = K(x,L(T(z,y),y,u)). K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,y / z),y / z,z)). K(x,L(T(y,z / u),z / u,u)) = K(x,(((z / u) * y) * u) / z). K(x,(T(K(y,K(z,u)) * w,K(y,z)) * v5) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). L(K(x,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),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)). 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) * z != L(K(x,y),y * u,K(w,v5)) | a(x,u,K(y,K(w,v5))) = z. a(x,y,K(z,K(u,w))) = a(x,z * y,K(z,K(u,w))). a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). 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 / z,L(u,z,w))) != v5 | K(x,K(u,(y * w) / (w * z))) = v5. K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K(z / (u \ w),L(y,w,u))). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). a(x,y,K(z,K(u,w))) != v5 | K(u,K(x,a(w,y,z))) = v5. K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). K(T(x,y) * (z \ 1),T(u,K(x,z))) \ T(u,K(x,z)) = T(u,(z \ 1) * T(x,y)). T(T(x,K((y \ 1) \ (y \ z),y)),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). T(T(x,y),z) != u | K(x,T(z,y)) * T(x,y) = u. K(x,T((y \ 1) * z,K(z,y))) * T(x,K(z,y)) = T(x,z * (y \ 1)). T(T(x,K((y \ 1) \ z,y)),z) = T(x,((y \ 1) \ z) * (y \ 1)). K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,z * (y \ 1)). T(T(x,y),K(z,(z \ 1) \ y)) = T(x,((z \ 1) \ y) * (z \ 1)). x != T(y,(z \ u) * z) | T(y,T(u,z)) = x. T(x,T(y,z \ 1)) = T(T(x,y),K(z,(z \ 1) \ y)). T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z \ 1)). x != T(y,T(z,u \ 1)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(T(x,y),K(z,(z \ 1) \ y)). T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z)). K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. K(x \ y,(1 / (y / x)) * z) = K(x \ y,z * (1 / (y / x))). x != K(y,z * (1 / u)) | K(y,z / u) = x. K(x \ y,z / (y / x)) = K(x \ y,(1 / (y / x)) * z). K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). K(x,y) * (z * (x / z)) = T(z * (x / z),T(y,z)). T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). T(x * (y / x),z) != u | x * (T(y,z) / x) = u. x * (T(y,T(z,x)) / x) = K(y,z) * (x * (y / x)). K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). x * y != z * (T(u,T(w,z)) / z) | x \ (K(u,w) * (z * (u / z))) = y. T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). K((x \ 1) * T(y,x),T(z,y)) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). K(x,K(y,T(z,u))) * K(w,T(v5,v6)) = T(K(w,v5) * K(x,K(y,z)),v6). K(x,1 / x) * y != z | y * K(x,1 / x) = z. (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. K(x,y / (z * x)) = K(x,1 / ((z / y) * x)). K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). 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,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). x != K(1 / (y \ z),u) | K(z \ y,u) = x. K((x / y) \ x,z) = L(K(y,z),x \ (x / y),u). L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). K(x,y) = L(K(x,y),z \ (z / x),u). L(K(x,y),z \ (z / x),u) = K(x,y). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). 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))) = K(z,K(w,L(x,y,u))) * K(z,K(x,w)). 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))). x \ (y * R(y \ x,z,y \ x)) = L(a(y \ x,z,y \ x),u,w). L(a(x \ y,z,x \ y),u,w) = y \ (x * R(x \ y,z,x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,x) * (x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (y * a(x,z,x)). L(x,1,y) != z \ (z * u) | u = x. a(x,y,x) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). x != K(y,T(z,u)) / T(u,w) | (K(w,u) / u) * K(y,z) = x. (K(x,y) / y) * K(z,u) = ((1 / y) * K(z,u)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). ((1 / x) * K(y,z)) * K(u,x) != w | K(u,x) / (K(z,y) * x) = w. 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(y,T(y \ z,u)) | K(y,T(z / y,u)) = x. K(x,T(y / x,z)) = K(x,T(1 / (y \ x),z)). K(x,T(1 / (y \ x),z)) = K(x,T(y / x,z)). 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(K(y,z) / u,w)) != v5 | K(x,K(u * K(v6,v7),w)) = 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 / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x != K(y,K(z,L(K(u,w) / v5,v6,v7))) | K(y,K(z,L(v5,v6,v7))) = x. K(x,K(y,L(z,z,u))) = K(x,K(z * K(w,v5),L(y,K(v6,v7),u))). 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,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(x,T(y / z,u)) = K(x * K(u,x),y / (z * K(u,x))). K(x * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). K(((x \ 1) * y) \ z,x) != u | K(y \ (z * x),x) = u. K((x * y) \ (z * y),y) = K(L(x,y,y \ 1) \ z,y). K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). x != K((y * z) \ (u * z),z) | 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(((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). x != K((y * z) / u,y) | K((u / z) \ y,y) = x. K((x / y) \ z,z) = K(((z \ 1) \ y) / x,z). 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,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). K(x,K(y * z,L(y,u,w))) = K(x,K(z * x,L(y,u,w))). x != K(y,K(z * y,u)) | K(y,K(z,u)) = x. K(x,K(y,L(z,u,w))) = K(x,K(z * y,L(z,u,w))). K(x,K(y * z,L(y,u,w))) = K(x,K(z,L(y,u,w))). x != K(1 / y,T(z,u)) | K(1 / T(y,u),z) = x. K(1 / T(x,y),z) = K(1 / x,T(z,y * x)). K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). K(1 / x,T(y,z)) = K(1 / T(x,z / x),y). K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). 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)))). K(x,K(y * z,y * (L(y,u,w) * z))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). T(x,1 / T(y / z,u)) = T(T(x,1 / (y / z)),K(u,z / y)). T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). T(T(x,1 / (y / z)),K(z,z / y)) = x * K(x,1 / (z \ y)). T(x,1 / (y \ z)) = T(T(x,1 / (z / y)),K(y,y / z)). 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(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(y,z)) != u | T(x,1 / (z \ y)) = u. T(x,1 / (y \ z)) = T(x,1 / T(z / y,z)). T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,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(x,T(1 / y,z)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) = T(x,T(1 / y,z)). T(x,1 / T(y / z,y)) != u | T(x,1 / (z \ y)) = u. T(x,1 / (y \ z)) = T(x,T(1 / (z / y),z)). 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)). 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(x,y / (1 / z)) != u | T(x,y * z) = 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)). 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)). K(1 / T(x,y / x),z) != u | K(1 / x,T(z,y)) = u. K(1 / x,T(y,z)) = K(1 / (z / (z / x)),y). K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). K(1 / (x / y),z) = K(1 / (y \ x),T(z,x)). K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). K(1 / (x \ y),z) = K(1 / (y / x),T(z,y)). K(1 / (x / y),T(z,x)) = K(1 / (y \ x),z). K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). x != K(y,T(1 / (z \ y),u)) | K(y,T(z / y,u)) = x. K(x,T(y / x,z)) = K(y,K(x,z)) * K(x,y / x). K(x,K(y,z)) * K(y,x / y) = K(y,T(x / y,z)). K(x,y / x) * K(y,K(z,x)) = K(x,T(y / x,z)). T(x * K(y,z),K(u,w)) != v5 | T(x,K(u,w)) * K(y,z) = v5. T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). T(x,T(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). K(x,y) * T(z,T(x,u)) = T(K(x,y) * z,T(x,u)). 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 * K(y,x),T(z / x,u)) = K(x * K(y,x),T(z / (x * K(y,x)),u)). K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). K(x,T(T(y / x,z),u)) = K(x * K(u,x),T(y / (x * K(u,x)),z)). K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z / x,u),y)). 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 != L((y \ z) \ u,y \ z,y) | z \ (y * u) = x. x \ (y * x) = T(L(y,y \ x,y),x / y). T(L(x,x \ y,x),y / x) = y \ (x * y). 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. T(x,y) = T(L(x,x \ y,x),y / x). T(L(x,x \ y,x),y / x) = T(x,y). T(L(L(x,x \ y,x),z,u),y / x) = L(T(x,y),z,u). K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). 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). K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K((x / y) \ 1,T((x / y) * z,x)) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). x != K(y \ z,T(y * u,w)) | K(z / y,T(u * y,w)) = x. K(1 / (x / y),T(z * (x / y),x)) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). x * K(1 / x,y) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = x * K(1 / x,y). K(x,y) / (z \ 1) != u | 1 / (z \ K(y,x)) = u. 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. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. 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). K(x / y,z) != u | K(x * (y \ 1),z) = u. K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). 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(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). x != K(y,K(z,L(u,K(w,v5),v6))) | K(y,K(z,u)) = x. K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * (K(u,w) * v5)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. 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,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 / u),w)) = K(x,T(y * (z / T(u,x)),w)). K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). 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)). K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). 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 * ((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). 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). K(T(x,y * z) * z,T(x,y * z)) != u | a(x,z,x) * K(z,T(x,y)) = u. a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). 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)). x * K(y \ z,x / (z / y)) = (y \ z) * (x / (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,1 / (y \ z)) != u | K(x,z \ y) = u. 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). T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). T(K(x,y) * z,T(x,u)) != w | K(x,y) * T(z,T(x,u)) = w. K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). K(x,y) * (T(x,z) \ u) = T(x,z) \ (K(x,y) * u). T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) != u | K(z,T(x,T(y,z)) / z) = u. K(x,T(y,T(z,x)) / x) = K(y,z) * (T(y,T(z,x)) \ (x * (y / x))). K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). x != K(y,T(z,T(u,w)) / v5) | K(y,T(z,u) / v5) = x. K(x,T(y,z) / x) = K(y,z) * (T(y,T(z,x)) \ (x * (y / x))). K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / 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,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = 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). 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,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). x != a(y,z,y) | a(y,T(z,u),y) = x. a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). x * K(y,T(T(z,u),w)) != a(y,T(z,v5),y) | K(y * z,T(T(y,u),w)) = x. K(x * y,T(T(x,z),u)) = K(x * T(y,u),T(x,z)). 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(z,K(u,w)),v5) != v6 | K(z,K(u,T(w,v7))) * K(x,T(y,v5)) = v6. K(x,K(y,T(z,u))) * K(y * x,T(x,w)) = K(x * T(y,w),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,x \ (y / z)) * K((x \ (z \ y)) * x,T(x,z)) = x \ R(x,x \ (z \ y),x). K(x,x \ (y / z)) * K(z \ y,T(T(x,z),x)) = x \ R(x,x \ (z \ y),x). K(x,x \ (y / z)) * K(z \ y,T(x,z)) = x \ R(x,x \ (z \ y),x). x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(y \ z,T(x,y)). x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(z / y,x). x != K(y,y \ z) * K(z,y) | a(y,y \ z,y) = x. a(x,x \ (y / z),x) = x \ R(x,x \ (z \ y),x). x \ R(x,x \ (y \ z),x) = a(x,x \ (z / y),x). a(x,x \ (y \ z),x) = a(x,x \ (z / y),x). a(x,x \ (y / z),x) = a(x,x \ (z \ y),x). a(x,x \ R(y \ 1,y,z),x) = a(x,x \ ((y * z) \ z),x). a(x,x \ (y \ z),x) * K(x,z / y) = K(x,x \ (z / y)). a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y \ z) / z) = K(x,x \ (T(y,y \ z) / z)). L(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w. K(((x \ y) * x) / z,T(u,x \ y)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). x != K(y,T(z,u \ w)) | K(y,T(z,w / u)) = x. K(((x \ y) * x) / z,T(u,y / x)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). 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(x / (y * x),z) != u | K(1 / y,z) = 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)). R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). x != R(y,z,y) * K(u,y) | R(y * K(u,y),z,y) = x. R((x \ y) * K(x,x \ y),z,x \ y) = (R(x \ y,z,x \ y) / (x \ y)) * (y / x). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | 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) \ 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)). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). K(x / L(y \ z,u,z / y),w) != v5 | K(T(x / (y \ z),K(v6,v7)),w) = v5. K(T(1 / (x \ y),K(z,u)),w) = L(K(y \ x,w),v5,y / x). L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). x != K(T(y,K(z,u)),w) | K(y,w) = x. K(1 / ((x * y) \ x),z) = L(K(y,z),u,x / (x * y)). L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). x != K(1 / ((y * z) \ y),u) | K(z,u) = x. K(x,y) = L(K(x,y),z,u / (u * x)). L(K(x,y),z,u / (u * x)) = K(x,y). K(x * y,1 / x) = K(y * x,1 / x). K(x * y,1 / y) = K(y * x,1 / y). K((x \ y) * x,1 / x) = K(y,1 / x). ((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 * K(y / z,u * (z / y)) = x * K(1 / (z / y),(z / y) * u). x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). x != K(y,K(z,u)) * K(z / y,u) | K(y \ z,u) = x. K(x \ y,z * (x / y)) = K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z). K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). x * K(y / (y / z),u) != K(z,T(u,y)) * K(w,v5) | K(w,v5) = x. K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. K(x / (x / y),z) != u | K(y,T(z,x)) = u. K(x,T(y * ((z / x) / z),z)) = K(x,T(((z / x) / z) * y,z)). K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). 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,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. L(K(x,y),z,u) = K(1 / L(1 / x,z,u),y). 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,K(y,1 / L(1 / z,u,w))) = K(x,T(L(K(z,y),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). 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)). 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,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))). K((x * y) * K(z,(L(u,y,x) \ 1) \ 1),w) = K(x * (y * K(u \ 1,z)),w). K((x * y) * K(z,L(u,y,x)),w) = K(x * (y * K(u \ 1,z)),w). 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(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. 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,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). 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 \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / 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,y) != z | K(x,1 / (1 / y)) = 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)). K(x,(y / z) / y) = K(x,y / (y * z)). K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. L(K(x,y),z,u / (u * w)) = L(K(x,y),z,(u / w) / u). L(K(x,y),z,(u / w) / u) = L(K(x,y),z,u / (u * w)). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). x != R(y / z,u,y / z) | R(y / z,u,z \ y) = 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). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). K(x,y) * (K(y,T(x,z)) * u) != w | u * K(x,K(y,z)) = w. K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). K(x,y / x) * K(y,K(z,x)) != u | K(x,T(y / x,z)) = u. K(x,T(y / x,z)) = K(x,T(y,z) / x). K(x,T(y,z) / x) = K(x,T(y / x,z)). K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x * K(u,x),T(y / (x * K(u,x)),z)). K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. K(x,T(T(y / x,z),u)) = K(x,T(T(y,z) / (x * K(u,x)),u)). K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). K(x,T(y / (z * K(u,x)),u)) != w | K(x,T(y / z,u)) = w. K(x,T(T(y,z) / x,u)) = K(x,T(T(y / x,z),u)). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). K(1 / x,x) \ (R(1 / y,y,K(1 / x,x)) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). K(1 / x,x) \ ((1 / y) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * ((x * (1 / (1 / z))) / x)). T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,L(y,y \ 1,u)). K(T(x,y) * (x \ (z * (y \ 1))),u) = K(z * ((y \ 1) * K(y \ 1,((z * (y \ 1)) \ (x \ (z * (y \ 1)))) \ 1)),u). K(T(x,y) * (y \ 1),z) = K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (x \ (x * (y \ 1)))) \ 1)),z). K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (x \ (x * (y \ 1)))) \ 1)),z) = K(T(x,y) * (y \ 1),z). K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (y \ 1)) \ 1)),z) = K(T(x,y) * (y \ 1),z). K(x * ((y \ 1) * K(y \ 1,(y \ 1) \ (x * (y \ 1)))),z) = K(T(x,y) * (y \ 1),z). K(x * ((y \ 1) * K(y \ 1,x)),z) = K(T(x,y) * (y \ 1),z). K(x * T(y \ 1,x),z) = K(T(x,y) * (y \ 1),z). K(T(x,y) * (y \ 1),z) = K(x * T(y \ 1,x),z). K(T(x,y) * (y \ 1),z) = K((y \ 1) * x,z). K(T(x,y) * z,u) != w | K(z * T(x,y),T(u,x)) = w. K((x \ 1) * T(y,x),T(z,y)) = K((x \ 1) * y,z). K((x \ 1) * y,z) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,(y \ 1) * T(z,y)). K(x,(y \ 1) * z) * T(x,K(z,y)) != u | T(x,z * (y \ 1)) = u. T(x,y * (z \ 1)) = T(x,(z \ 1) * T(y,z)). T(x,(y \ 1) * T(z,y)) = T(x,z * (y \ 1)). T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. T(x,(y \ 1) * z) = T(x,T(z,y) * (y \ 1)). T(x,T(y,z) * (z \ 1)) = T(x,(z \ 1) * y). T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),u) * (y \ 1)) != w | T(x,y \ (1 * T(1 \ z,u))) = w. T(x,y \ (1 * T(1 \ z,y))) = T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))). T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). T(T(x,K(y,(y \ 1) \ (y \ z))),y \ z) = T(x,y \ (1 * T(1 \ z,y))). T(T(x,y \ z),K(y,(y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). T(T(x,y),K(z,(z \ 1) \ y)) != u | T(x,T(y,z)) = u. T(x,T(y \ z,y)) = T(x,y \ (1 * T(1 \ z,y))). T(x,y \ (1 * T(1 \ z,y))) = T(x,T(y \ z,y)). x != T(y,T(z \ u,z)) | T(y,u / z) = x. T(x,y / z) = T(x,z \ (1 * T(1 \ y,z))). T(x,y \ (1 * T(1 \ z,y))) = T(x,z / y). T(x,y \ (1 * T(z,y))) = T(x,z / y). T(x,y \ T(z,y)) = T(x,z / y). T(x,y \ T(z,y)) != u | T(x,T(y,z) \ z) = u. T(x,T(y,z) \ z) = T(x,z / y). x != T(y,z / u) | T(y,z * (u \ 1)) = x. T(x,y * (z \ 1)) = T(x,T(z,y) \ y). T(x,T(y,z) \ z) = T(x,z * (y \ 1)). (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). (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). 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,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). T(L(x,y,z),u) = T(L(L(x,x \ u,x),y,z),u / x). T(L(L(x,x \ y,x),z,u),y / x) = T(L(x,z,u),y). T(L(L(x,y / x,x),z,u),y / x) = T(L(x,z,u),y). x != T(y,z / y) | (y \ z) \ z = x. ((x / y) \ x) \ x = ((x / y) / x) * ((y \ x) * y). ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. ((x / y) / x) * ((y \ x) * y) = y \ x. ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. x * y != (z / u) \ z | u / y = x. x / (x * (y / x)) = (y / (y / x)) / y. (x / (x / y)) / x = y / (y * (x / y)). K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). (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. T(x \ y,R(y / x,z,u)) = x \ y. K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). x != y \ (z * (y / z)) | K(z,z \ y) = x. K(x,x \ y) = K(((x / y) \ 1) \ y,(x / y) \ 1). K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ 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 / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x,y,z) = 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). T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). 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 != (z / y) * (y * K(u,w)) | z / (y * K(w,u)) = x. x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / y)) = K(z,1 / z) * (x / y). K(x,1 / x) * (y / z) = y / (1 / (1 / z)). K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). x \ y != y / T(z,u) | T(y / (y / z),u) = x. 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). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). (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 * 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). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | 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 / 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 / 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)). ((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. 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. K(x \ 1,T(y,z) * x) = K(x \ 1,T(y * x,z)). K(x \ y,z * x) != u | K(y / x,x * z) = u. K(1 / x,x * T(y,z)) = K(x \ 1,T(y * x,z)). K(1 / x,T(y * x,z)) = K(1 / x,x * T(y,z)). K(1 / x,x * T(y,z)) = K(1 / x,T(y * x,z)). x != K(1 / (y / z),T(u * (y / z),y)) | K((((y / z) \ 1) \ z) \ z,u / (z / (((y / z) \ 1) \ z))) = x. K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). x != K(1 / y,T(z * y,u)) | K(1 / y,T(z / (1 / y),u)) = x. K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). x != K(1 / (y / z),T(u,y)) | K(1 / (z \ y),u) = x. K(1 / (x \ y),z * (y / x)) = K(1 / (y / x),(y / x) * T(z,y)). K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). x != K(1 / (y / z),u) | K(z / y,u) = x. K(x / y,(y / x) * T(z,y)) = K((((y / x) \ 1) \ x) \ x,z / (x / (((y / x) \ 1) \ x))). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). K(x / y,(y / x) * T(z,y)) = K(1 / (x \ y),z * (y / x)). K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). K(1 / (x \ y),z) != u | K(y \ x,z) = u. K(x \ y,z * (x / y)) = K(y / x,(x / y) * T(z,x)). K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). K(x / y,(y / x) * T(z,y)) != u | K((((y / x) \ 1) \ x) \ x,z / (x / (((y / x) \ 1) \ x))) = u. K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). K(x,y / (z \ 1)) != u | K(x,y / (1 / z)) = u. K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). K(1 / x,T(y / (1 / x),z)) != u | K(1 / x,x * T(y,z)) = u. K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). K(x,T(((y / x) / y) * T(z,y),y)) = K((y / x) \ y,z * ((y / x) / y)). K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). K(x,y * ((z / x) / z)) = K(x,T(((z / x) / z) * T(y,z),z)). K(x,T(((y / x) / y) * T(z,y),y)) = K(x,z * ((y / x) / y)). K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). K(T(x,y) / (x / y),z) != u | K(y,z) = u. K(x,((y / x) / T(y,x)) * T(z,y)) = K((y * x) / y,z * ((y / x) / T(y,x))). K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). x != K(y,(z / T(u,y)) * w) | K(y,(z / u) * w) = x. K(x,((y / x) / y) * T(z,y)) = K((y * x) / y,z * ((y / x) / T(y,x))). K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). K(x,T(y * (z / T(u,x)),w)) != v5 | K(x,T(y * (z / u),w)) = v5. K(x,T(y * ((z / x) / z),z)) = K(x,((z / x) / z) * T(y,z)). K(x,((y / x) / y) * T(z,y)) = K(x,T(z * ((y / x) / y),y)). x != K(y,T(z * ((u / y) / u),u)) | K(y,T(((u / y) / u) * z,u)) = x. K(x,T(((y / x) / y) * z,y)) = K(x,((y / x) / y) * T(z,y)). K(x,((y / x) / y) * T(z,y)) = K(x,T(((y / x) / y) * z,y)). x != K(y,T(((z / y) / z) * T(u,z),z)) | K(y,u * ((z / y) / z)) = x. K(x,y * ((z / x) / z)) = K(x,((z / x) / z) * T(T(y,z),z)). K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). x != K(y,z * (u / z)) | K(y,T(u,z)) = x. K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). K(x,((y / x) / y) * z) = K(x,T(T(z,y),y) * ((y / x) / y)). K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / 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. T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | x \ (x / ((y / x) \ 1)) = z. x \ (x / ((y / x) \ 1)) = (x / ((x \ y) \ 1)) / x. (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / 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,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * (1 / (1 / ((x * z) / x)))). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). 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,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,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). 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,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. K(x,K(y * z,y * (u * z))) = K(x,K(y * z,L(u,z,y))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * 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,L(K(u,w) * y,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). 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))). K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. 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 / 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))). K(x,K(y * z,L(L(y,u,w),z,y))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). K(x,K(y * z,L(y,u,w))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(y * z,L(y,u,w))) * K(x,L(y,u,w)). K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(z,L(y,u,w))) * K(x,L(y,u,w)). x != K(y,K(z,u)) * K(y,u) | K(y,T(u,z)) = x. K(x,T(L(y,z,u),w)) = K(x,(y * w) \ (y * (L(y,z,u) * w))). K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,T(L(y,u,w),z)). K(x,T(L(L(y,z,u),w,y),w)) = K(x,T(L(y,z,u),w)). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y / z)). K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). K(x,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))). 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. (1 / ((x * y) / x)) \ (y \ 1) != z | (1 / y) * (1 / (1 / ((x * y) / x))) = z. (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((T(z,x) \ 1) * z). K(x,1 / x) * ((T(y,z) \ 1) * y) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(y,1 / y) * ((T(z,x) \ 1) * z). 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)). T(L(K(x,y),z,u),w \ v5) != v6 | T(L(K(x,y),z,u),v5 / w) = v6. T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). T(K(x,y),z \ (z / x)) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). x != T(y,z \ (z / u)) | T(y,1 / u) = x. T(K(x,y),1 / x) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). x != T(K(y,z),1 / y) | K(y,z) = x. K(x,y) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = K(y,z). 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)) != u | K(x,z \ 1) = u. K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). x != K((y / z) \ 1,u) | 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 / 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(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). x != K(y \ (z / (u * z)),u \ 1) | K(y \ ((u * z) \ z),u \ 1) = x. K(x \ ((y * z) \ z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K(x / (y * (z * x)),z \ 1) != u | K(y \ (z \ 1),z \ 1) = u. K(x \ (y \ 1),y \ 1) = K(x \ ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). K(x * ((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 * (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). T(L(x,y,z),x * u) = T(L(L(x,u,x),y,z),u). T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). 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,(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))). 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 * (1 / y),z) != u | K(x * (y \ 1),z) = u. 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),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). x != K(y * (z \ u),u \ z) | 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). x * K(x * (y / z),y \ z) != u | ((1 / (z \ y)) \ x) * (1 / (z \ y)) = u. ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ 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)))). 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,T(1 / y,z)) != u | K(x,z / (z * y)) = u. K(x,y / (y * (y * z))) = K(x,1 / (z * y)). K(x,K(y / z,K(u,1 / u) / (u * y))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x != K(y,K(z,K(u,w) / v5)) | K(y,K(v5,z)) = x. K(x,K(y * z,z / u)) = K(x,K(z \ (1 / y),L(z / u,u,y))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). 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 / (u / w)))) != v5 | K(x,K(y,z / w)) = v5. 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)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). K(x,K(y,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). 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)). K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). T(L(L(x,y / x,x),z,u),y / x) != w | T(L(x,z,u),y) = w. T(L(x,y,z),u) = T(L(x,y,z),x * (u / x)). T(L(x,y,z),x * (u / x)) = T(L(x,y,z),u). T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). K(x,T(L(y,z,u),y * w)) = K(x,T(L(y,z,u),w)). K(x,T(L(y,z,u),w)) = K(x,T(L(y,z,u),w / y)). K(x,T(L(y,z,u),w / y)) = K(x,T(L(y,z,u),w)). K(x,T(L(y,z,u),w / y)) != v5 | K(x,L(w / (w / y),z,u)) = v5. K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). K(x,L(y / z,z,u)) != w | K(x,(y * u) / (z * u)) = w. K(x,(y * z) / ((y / u) * z)) = K(x,T(L(u,y / u,z),y)). K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). K(x,T(L(y,z / y,u),w)) != v5 | T(L(K(x,y),z,u),w) = v5. T(L(K(x,y),z,u),z) = K(x,(z * u) / ((z / y) * u)). K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). K(x,y / (((y / z) / u) * z)) = T(L(K(x,u),y / z,z),y / z). T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). T(L(K(x,y),z / u,u),z / u) != w | z \ (u * (K(x,y) * (u \ z))) = w. x \ (y * (K(z,u) * (y \ x))) = K(z,x / (((x / y) / u) * y)). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) != u | K(y,z) = u. K(x,y) = K(x,(z / x) / ((((z / x) / z) / y) * z)). K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). K(x,(y / x) / z) != u | K(x,y / (z * x)) = u. K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). K(x,y / ((z * y) * x)) != u | K(x,1 / (z * x)) = u. K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). K(x,1 / ((y / z) * x)) != u | K(x,z / (y * x)) = u. K(x,y / (((z / x) / z) * x)) = K(x,y). K(x,y / (x * ((z / x) / z))) = K(x,y). K(x,(y * z) / (u * z)) != w | L(K(x,y / u),y,z) = w. L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). L(K(x,y),z,u / (u * x)) != w | K(x,y) = w. K(x,y / x) = K(x,y * ((z / x) / z)). K(x,y * ((z / x) / z)) = K(x,y / x). K(x,T(T(y,z),z) * ((z / x) / z)) != u | K(x,((z / x) / z) * y) = u. K(x,((y / x) / y) * z) = K(x,T(T(z,y),y) / x). K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). K(x,T(y,z) / x) != u | K(x,T(y / x,z)) = u. K(x,T(T(y,z) / x,z)) = K(x,((z / x) / z) * y). K(x,((y / x) / y) * z) = K(x,T(T(z,y) / x,y)). x != K(y,T(T(z,u) / y,w)) | K(y,T(T(z / y,u),w)) = x. K(x,T(T(y / x,z),z)) = K(x,((z / x) / z) * y). K(x,((y / x) / y) * z) = K(x,T(T(z / x,y),y)). x != K(y,T(T(z,u),u)) | K(y,z) = x. K(x,y / x) = K(x,((z / x) / z) * y). K(x,((y / x) / y) * z) = K(x,z / x). K(x / y,((x / (x / y)) / x) * z) != u | K(x / y,(y / x) * z) = u. K(x / y,(y / x) * z) = K(x / y,z / (x / y)). K(x / y,z / (x / y)) = K(x / y,(y / x) * z). K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). K(x,K(y,z)) * K(z / x,(x / z) * y) != u | K(x \ z,y * (x / z)) = u. K(x \ y,z * (x / y)) = K(x \ y,z / (y / x)). K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x * K(y \ z,x * (y / z)) != u | (1 / (z \ y)) * (x / (1 / (z \ y))) = u. (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). 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))). x != K(y,T(z,u / (w \ v5))) | K(y,T(z,u / (v5 / w))) = x. K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,z / (1 / (u \ w)))). 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)) = 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) / 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 / ((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,z / ((1 / u) * w))) != v5 | K(x,K((z / w) * u,L(y,z / w,w))) = v5. K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). 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)). 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,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 * (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)). 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 * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. 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))). 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 * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u * ((1 / w) * v5)))) != v6 | K(x,K(y,z * ((v5 / w) * u))) = v6. 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))). K(x,K(y,z * (u / (1 / w)))) != v5 | K(x,K(y,(w * u) * z)) = v5. 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)) != 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))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). 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))). 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))). K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(y,L(w,1 / u,1 / z))) = v5. 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 | 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))). 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) / v5)) != v6 | K(x,K(y,(w * ((1 / u) * z)) / v5)) = v6. 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))). x != a(y,1 / z,K(u,K(w,v5))) | a(v5,z,K(u,K(w,y))) = x. a(x,y,K(z,K(u,w))) = K(w,K(z,((y / x) / u) * ((u * (1 / y)) * x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). 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)))). K(x,K(y,z * (((1 / u) * w) * v5))) != v6 | K(x,K(y,z * ((w / u) * v5))) = v6. 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 * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. 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))). 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 * 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). 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,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 / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). 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)) * (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,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). K(x,L(L(y \ 1,z,u),w,v5)) != v6 | K(x,L(L(1 / y,z,u),w,v5)) = v6. K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). 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,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,L(L(z,u,w),v5,w * u))) != v6 | K(x,K(y,L(z,u,w))) = v6. 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)). K(x,K(y,z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,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)). K(x,K(y,(z * u) \ w)) = K(x,K(y,u \ (z \ w))). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). K(L(x,y,z) * (z * y),u) * K(x,K(u,z * y)) = K(z * (y * x),u). T(x * T(y,z),K(u,w)) = x * (T(y,z) * K(u,K(x * y,w))). x * (T(y,z) * K(u,K(x * y,w))) = T(x * T(y,z),K(u,w)). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). K(x,L(K(y,z),u,w)) = K(x,K(y,z)). L(K(K(x,y),z) * ((u * w) \ v5),K(z,K(x,y)),u * w) = (u * (w * K(z,K(x,y)))) \ v5. x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) != v6 | a(x,w,v5 * K(y,K(z,u))) = v6. L(T(x,K(y,K(z,u))) \ (w * v5),T(x,K(y,K(z,u))),K(y,K(z,u))) = (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * (K(x,y) * w)) = u * (K(x,T(y,z)) * w). K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,v5) = v6. K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. K(x * (K(y,T(z,u)) * w),v5) != v6 | K(x * (K(y,z) * w),v5) = v6. K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * ((K(z,u) * y) \ w),v5) = v6. (x * (K(y,T(z,u)) * w)) \ (K(y,K(z,u)) * ((x * K(y,z)) * w)) = L(a(x,K(y,z),w),x * (K(y,z) * w),K(y,K(z,u))). K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. a(x,y,K(z,K(u,w))) = 1. K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). K(x,K(y,(z * u) \ (z * w))) != v5 | K(x,K(y,u \ w)) = v5. K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,u \ (z \ w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. K(x,K(y,z \ (u \ w))) = K(x,K(y,w \ (z * u))). K(x,K(y,z \ (u \ y))) = K(x,K(y,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)). 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 \ (u \ w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (K(w,v5) * u))). K(x,K(y,z \ (K(u,w) * v5))) = K(x,K(y,z \ v5)). K(x,K(y,z \ u)) * K(x,y * (u \ (K(w,v5) * z))) = K(x,(u \ (K(w,v5) * z)) * y). a(K(x,y),z,K(u,w)) = 1. a(x,y,K(z,K(u,w))) != v5 | K(x,K(z,a(u,y,w))) = v5. K(x,K(y,a(z,u,w))) = 1. a(x,y,K(z,u)) != w | K(x,a(u,y,z)) = w. K(x,a(K(y,z),u,w)) = 1. a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. a(K(x,K(y,z)),u,w) = 1. L(K(x,y),z,K(u,w)) = K(x,y). K(x,L(y,z,K(u,w))) = K(x,y). K(L(x,y,K(z,u)),w) = K(x,w). L(K((K(x,y) * z) \ u,w),u,K(y,x)) != v5 | K(z \ (K(y,x) * u),w) = v5. K(x \ (K(y,z) * u),w) = K((K(z,y) * x) \ u,w). K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). K(L(x / y,y,K(z,u)),w) != v5 | K((K(z,u) * x) / (K(z,u) * y),w) = v5. K((K(x,y) * z) / (K(x,y) * u),w) = K(z / u,w). K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). K(L(x,y,a(z,u,K(w,v5))),v6) = K(x,v6). K(x,L(y / T(z * K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) != v7 | K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))) = v7. K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) \ v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). K(x,L((y \ z) / T(u * K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) != v7 | K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))) = v7. K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5 * K(z,K(u,w)),v6)). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). K(x,y \ (K(z,u) * w)) = K(x,(K(u,z) * y) \ w). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). K(x,L(y,z,T(u,w) \ 1)) = K(x,L(y,z,u \ 1)). K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). K(x,L(T(y / z,y * u),y,T(u,w))) != v5 | K(x,(z * T(u,w)) \ (y * T(u,w))) = v5. K(x,(y * T(z,u)) \ (w * T(z,u))) = K(x,L(T(w / y,w * z),w,z)). K(x,L(T(y / z,y * u),y,u)) = K(x,(z * T(u,w)) \ (y * T(u,w))). K(x,L(y,z,L(T(u,w),v5,v6))) = K(x,L(y,z,L(u,v5,v6))). K(x,L(L(y,z,T(u,w)),v5,v6)) = K(x,L(L(y,v5,v6),z,u)). K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). K(x,L(y,z,(u \ w) \ w)) = K(x,L(y,z,u)). K(L(x,y,T(z,u)),w) * K(w,L(L(x,y,T(z,u)),v5,v6)) = a(w,v5,K(v6,L(x,y,z))). ((x * y) * K(z,u)) * K(u,L(z,y,L(x,y,K(z,u)))) = R(x,y,K(z,u)) * y. (x * y) * (K(z,L(u,y,L(x,y,K(u,z)))) * K(u,z)) = R(x,y,K(u,z)) * y. (x * y) * a(z,y,K(L(x,y,K(u,z)),u)) = R(x,y,K(u,z)) * y. (x * y) * a(z,y,K(x,u)) = R(x,y,K(u,z)) * y. (x * y) * a(z,u,K(x,w)) != v5 | x * (y * a(z,u,K(x,w))) = v5. x * (y * a(z,y,K(x,u))) = R(x,y,K(u,z)) * y. T(x,a(K(y,z),u,w)) = x. T(x,K(y,a(z,u,w))) = x. T(x,a(y,z,K(u,w))) = x. x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. (x \ y) * a(z,u,K(x,w)) = T(x,a(w,u,z)) \ y. a(x \ y,z,K(u,w)) * v5 != v6 | v5 * a(u,z,K(y \ x,w)) = v6. T(x,T(y,a(z,u,w))) = T(x,y). K(x,T(y,a(z,u,w))) = K(x,y). T(x * (y * K(x,z)),K(x,z)) != u | T(x,z) * y = u. T(x,a(y,z,u)) * w = x * (w * K(x,a(y,z,u))). x * (y * K(x,a(z,u,w))) = T(x,a(z,u,w)) * y. x / y != T(K(z,u) / y,K(z,u)) | K(z,T(u,y)) = x. K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). T(x,K(y,a(z,u,w))) != v5 | x = v5. x != K(y,a(z,u,w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = K(x,T(a(u,y,z),w)). K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). x != K(y \ (K(z,u) * w),v5) | K(y \ (w * K(z,u)),v5) = x. K(x \ (y * K(z,u)),w) = K((x * K(u,z)) \ y,w). K((x * K(y,z)) \ u,w) = K(x \ (u * K(z,y)),w). K(x,K(y,L(z,u,w) \ z)) = 1. L(x,y,K(z,K(u,w))) = x. K(x,(L(y,z,u) \ y) \ w) * 1 = K(x,w / (L(y,z,u) \ y)). L(x,y,K(z,u)) = L(x,y,T(K(z,u),w)). L(x,y,T(K(z,u),w)) = L(x,y,K(z,u)). x \ (K(y,K(z,u)) * w) = (K(K(z,u),y) * x) \ w. (K(K(x,y),z) * u) \ w = u \ (K(z,K(x,y)) * w). L(x,y,T(z,K(u,w))) = L(x,y,z). L(L(x,K(y,z),u),u * K(y,z),K(y,K(z,w))) != v5 | (u * K(y,T(z,w))) \ (K(y,K(z,w)) * (u * (K(y,z) * x))) = v5. (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(w,K(y,z),x). L(x,y,K(z,K(u,w))) != v5 | x = v5. (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 * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). (x * K(y,T(z,u))) \ (x * (K(y,T(z,u)) * w)) = L(w,K(y,z),x). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). L(x,K(y,T(z,x)),u) != w | R(x,K(y,z),u) = w. R(x,K(y,z),u) = L(x,K(y,z),u). x != L(y,K(z,T(u,w)),v5) | L(y,K(z,u),v5) = x. L(x,K(y,z),u) = R(x,K(y,T(z,w)),u). R(x,K(y,T(z,u)),w) = L(x,K(y,z),w). L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. K(((x \ y) * x) / (a(z,u,w) * x),v5) = K((x * a(z,u,w)) \ y,v5). K(x,(a(y,z,u) \ w) * K(v5,a(y,z,u) \ 1)) = K(x,w / T(a(y,z,u),v5 \ 1)). K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. L(x,y,T(z * u,z)) != w | L(x,y,u * z) = w. L(x,y,z * K(u,w)) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). L(x,y,z \ K(u,w)) = L(x,y,K(u,w) / z). L(x,y,K(z,u) / w) = L(x,y,w \ K(z,u)). L(x,y,K(z,u \ 1) * w) != v5 | L(x,y,K(u,z) * w) = v5. L(x,y,K(z,u) * w) = L(x,y,w * K(u,z \ 1)). L(x,y,z * K(u,w \ 1)) = L(x,y,K(w,u) * z). L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) != w | z \ ((K(x,y) * z) * u) = w. x \ ((K(y,z) * x) * u) = L(K(y,T(z,x)) * u,K(z,y),x * K(y,z)). L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) = z \ ((K(x,y) * z) * u). x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). T(x \ y,T(z,x)) != u | (x \ y) * K(y / x,z) = u. (a(x,y,z) \ u) * K(u / a(x,y,z),w) = T(a(x,y,z) \ u,w). (a(x,y,K(z,u)) * w) * K(w / a(u,y,K(z,x)),v5) = T(a(u,y,K(z,x)) \ w,v5). (a(x,y,K(z,u)) * w) * K(w * a(x,y,K(z,u)),v5) = T(a(u,y,K(z,x)) \ w,v5). L(x \ (y * z),T(x,K(u,K(w,v5))),K(u,K(w,v5))) = (x * K(u,K(w,v5))) \ (y * (z * K(u,K(w,v5)))). x \ (y * z) = (x * K(u,K(w,v5))) \ (y * (z * K(u,K(w,v5)))). (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) = x \ (w * v5). (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). x != y \ (K(z,K(u,w)) * v5) | (y \ v5) * K(z,K(u,w)) = x. (x \ y) * K(z,K(u,w)) = (K(z,K(u,w)) * x) \ y. (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). (K(x,K(y,z)) * u) \ (x * w) = u \ (T(x,K(y,z)) * w). (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). x != y * K(z,K(u,w)) | K(z,K(u,w)) * y = x. K(x,K(y,z)) * ((u * w) \ v5) = (u * (K(x,K(y,z)) * w)) \ v5. (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). ((x * (y * z)) \ ((x * y) * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) != v6 | a(x,y,z * K(u,K(w,v5))) = v6. (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) != v6 | x \ (w * v5) = v6. x \ (y * z) = (x \ (y * (z * K(u,K(w,v5))))) * K(u,K(w,v5)). (x \ (y * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) = x \ (y * z). a(x,y,z * K(u,K(w,v5))) = (x * (y * z)) \ ((x * y) * z). a(x,y,z) = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,y,z). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). x != a(y,z,K(u,w)) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = a(u,y,K(x,T(z,w))). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). a(x,y,K((z \ u) \ u,w)) = a(x,y,K(z,w)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. K(x,y) * (z * u) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. x / (y * K(z,u)) = L((x * K(u,z)) / y,y,K(z,u)). L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). x * (y * a(z,y,K(x,u))) = L(x,y,K(u,z)) * y. R(x,y,K(z,K(u,w))) != v5 | x = v5. T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,z \ y)). x != y * a(y,z,K(u,w)) | T(y,a(w,z,u)) = x. T(x,a(y \ z,u,w)) = T(x,a(z * (y \ 1),u,w)). T(x,a(y * (z \ 1),u,w)) = T(x,a(z \ y,u,w)). x * y != T(x,a(T(z \ 1,u) * w,v5,v6)) | a(x,v5,K(v6,T(z,u) \ w)) = y. a(x,y,K(z,T(u,w) \ (v5 \ 1))) = a(x,y,K(z,v5 \ T(u \ 1,w))). K(x,K(y \ (z * u),w)) = K(x,K((z \ y) \ u,w)). K(x,K((y \ z) \ u,w)) = K(x,K(z \ (y * u),w)). K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) \ w)). K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,(u / z) \ w)) = v5. K(x,K(y,(z / u) \ w)) = K(x,K(y,z \ (u * w))). K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,w \ (z * u))) = v5. K(x,K(y,z \ ((u \ w) * v5))) = K(x,K(y,w \ (u * (v5 \ z)))). K(x,T(T(y,z),z)) = K((z * K(u,w)) \ ((z * x) * K(u,w)),y). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). K(x,y) = K((z * K(u,w)) \ ((z * x) * K(u,w)),y). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,w). K(x,L((y * z) \ u,z,y \ 1)) != w | K(x,z \ (y \ u)) = w. K(x,y \ (T(z,u) \ w)) = K(x,L((T(z,u) * y) \ w,y,z \ 1)). K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (T(y,z) \ w)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,((w * u) / w) \ 1)). K(x,L(y,z,((u * w) / u) \ 1)) = K(x,L(y,z,w \ 1)). K((x / T(y,z)) * u,L(w,u,y \ 1)) != v5 | K(x * ((T(y,z) \ 1) * u),w) = v5. K(x,L(y,z,(u \ 1) / (z * x))) != w | K(u * (((u \ 1) / (z * x)) * z),y \ 1) = w. K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(y * z) \ (x \ 1))). K(x / y,L(T(z,x * (u / y)),x,u / y)) != w | K(T(u,y) \ (x * (u / y)),z) = w. K(T(x,y) \ (z * (x / y)),u) = K(z / y,L(T(u,z * (x / y)),z,y \ x)). K(x / y,L(T(z,x * (u / y)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). K(x,L(y,z * x,u / (z * T(x,y)))) != w | ((u / ((z * x) * K(x,y))) * (z * x)) \ u = w. ((x / ((y * z) * K(z,u))) * (y * z)) \ x = K(z,L(u,y * z,(y * T(z,u)) \ x)). K(x,L(y,z * x,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,(u \ 1) \ (w \ 1))). K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). K(x,L(T(y,z),u,(u * y) \ w)) * z = z * K(x,((w / (u * y)) * u) \ w). x * K(y,L(z,u,(u * z) \ w)) = x * K(y,((w / (u * z)) * u) \ w). x != a(y,z,K(u,w)) | a(y,z,K(u,T(w,v5))) = x. a(x,y,K(z,T(u,w))) = K(x,T(a(u,y,z),v5)). L(x,x \ y,K(z,T(u,y))) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). x != K(y / z,T(u,z)) | K(z \ y,u) = x. K(x \ y,a(z,u,w)) = a(y / x,u,K(w,T(z,v5))). a(x / y,z,K(u,T(w,v5))) = K(y \ x,a(w,z,u)). a(x \ y,z,K(u,w)) = a(y / x,z,K(u,T(w,v5))). a(x / y,z,K(u,T(w,v5))) = a(y \ x,z,K(u,w)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). x != a(y,z,u) * a(y * (z * u),z,K(u,y)) | ((y * z) * u) / (y * (z * u)) = x. ((x * y) * z) / (x * (y * z)) = a(x * (y * z),y,K(z,x)) * a(x,y,z). a(x * (y * z),y,K(z,x)) * a(x,y,z) = ((x * y) * z) / (x * (y * z)). x != (y * z) * a(u,w,K(z,v5)) | y * (z * a(u,w,K(z,v5))) = x. x * (y * a(z,u,K(y,w))) = a(z,u,K(y,w)) * (x * y). a(x,y,K(z,u)) * (w * z) = w * (z * a(x,y,K(z,u))). (a(x,y,K(z,u)) * w) \ w = a(u,y,K(z,x)). (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,K(z,u))) * w = K(y,K(z,u)) * (x * w). (x * K(y,T(z,u))) * w = K(y,K(z,u)) * ((x * K(y,z)) * w). K(x,K(y,z)) * ((u * K(x,y)) * w) = (u * K(x,T(y,z))) * w. T(K(x,K(y,z)) * u,w) * v5 = K(x,K(y,z)) * (T(u,w) * v5). x != K(y,K(z,u)) * (w * v5) | w * (K(y,K(z,u)) * v5) = x. x * (K(y,K(z,u)) * w) = (x * K(y,K(z,u))) * w. (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). K((x * K(y,K(z,u))) * w,v5) = K(x * w,v5). K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). K(x,K(y,z / u) * w) = K(x,K(y,u \ z) * w). (x \ K(y,z)) \ K(u,w) = K(z,y) * (x * K(u,w)). K(x,y) * (K(z,u) * w) = (K(x,y) * w) * K(z,T(u,w)). (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). (K(x,y) * (z \ 1)) * K(u,w) = K(x,y) * (z \ K(u,w)). ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) = K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)). K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). K(x,((K(y,z) * u) \ w) \ 1) = K(x \ 1,u \ (K(z,y) * w)). K(x \ 1,y \ (K(z,u) * w)) = K(x,((K(u,z) * y) \ w) \ 1). x != K(y,z \ (K(u,w) * v5)) | K(y,z \ (v5 * K(u,w))) = x. K(x,y \ (z * K(u,w))) = K(x,(K(w,u) * y) \ z). K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). K(x * K(y,z),(K(z,T(y,u)) * x) \ w) != v5 | K(x * K(y,z),w / (K(z,T(y,u)) * x)) = v5. K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),x \ (K(T(y,w),z) * u)). K(x,y \ (z * K(u,w))) != v5 | K(x,(y * K(w,u)) \ z) = v5. K(x,K(y,z \ u)) = K(x,K(y,(z * w) \ (u * w))). K(x,K(y,(z * u) \ (w * u))) = K(x,K(y,z \ w)). (K(x,K(y,z)) * (x * (u * w))) \ ((T(x,K(y,z)) * u) * w) = L(a(x,u,w),x * (u * w),K(x,K(y,z))). (T(x,K(y,z)) * (u * w)) \ ((T(x,K(y,z)) * u) * w) = L(a(x,u,w),x * (u * w),K(x,K(y,z))). L(a(x,y,z),x * (y * z),K(x,K(u,w))) = (T(x,K(u,w)) * (y * z)) \ ((T(x,K(u,w)) * y) * z). a(T(x,K(y,z)),u,w) = L(a(x,u,w),x * (u * w),K(x,K(y,z))). L(a(x,y,z),x * (y * z),K(x,K(u,w))) = a(T(x,K(u,w)),y,z). a(x,y,z) = a(T(x,K(u,w)),y,z). a(T(x,K(y,z)),u,w) = a(x,u,w). a(x * K(y,z),u,w) = a(K(y,z) * x,u,w). a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). a(K(x,y) * (z * x),u,w) = a(z * T(x,y),u,w). a(K(x,y) * (z \ x),u,w) = a(z \ T(x,y),u,w). K(x,y \ (((z * u) / z) \ w)) = K(x,L((((z * u) / z) * y) \ w,y,u \ 1)). K(x,L((((y * z) / y) * u) \ w,u,z \ 1)) = K(x,u \ (((y * z) / y) \ w)). a(x,x \ 1,L(y \ 1,K(z,u),w)) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. L(x,K(y,T(z,u)),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. 1 * a(x,y,z) = ((x * y) * z) / (x * (y * z)). ((x * y) * z) / (x * (y * z)) = 1 * a(x,y,z). a(x,y,z) * (x * (y * z)) = (x * y) * z. K(x,K(y,z \ (T(u,w) \ v5))) = K(x,K(y,z \ (u \ v5))). K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). K(x,K(y,z \ (u \ (w / v5)))) = K(x,K(y,(u * z) \ (v5 \ w))). K(x,K(y,(z * u) \ (w \ v5))) = K(x,K(y,u \ (z \ (v5 / w)))). L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). x * (y * K(z,u * y)) != (u * y) * K(z,u * y) | u = x. x = L(x,y,K(z,x * y)). L(x,y,K(z,x * y)) = x. R((x * K(y,z)) \ 1,L(u,x,K(y,z)) \ 1,L(u,x,K(y,z))) = (((u * x) * K(y,z)) \ 1) * L(u,x,K(y,z)). L(x,y,K(z,u \ w)) = L(x,y,K(z,w / u)). L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). L(x \ y,x,K(z,T(u,x))) != w | (x * K(z,u)) \ (K(z,T(u,x)) * y) = w. (x * K(y,z)) \ (K(y,T(z,x)) * u) = L(x \ u,x,K(y,z)). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). ((x * y) * K(z,u)) \ (K(z,T(u,x * y)) * ((x * K(w,v5)) * (K(v5,w) * y))) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). K(L(x \ y,x,K(z,u)),w) = K(((x \ 1) * K(u,z)) * (K(z,u) * y),w). ((x * y) * K(z,T(u,y))) \ ((L(x,y,K(z,u)) * K(w,v5)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). L(x,K(y,z) * u,K(w,v5)) * ((K(y,z) * u) * T(K(w,v5),K(z,y) * u)) = (x * (K(y,z) * u)) * K(w,T(v5,K(y,z) * u)). a(x,y,K(z \ (u \ z),w)) = a(x,y,K(u,w \ 1)). x != a(y,z,K(u,w \ 1)) | a(u,z,K(y,w)) = x. a(x,y,K(z,u)) = a(z,y,K(w \ (x \ w),u)). a(x,y,K(z \ (u \ z),w)) = a(u,y,K(x,w)). a(x,y,K(z \ (u \ z),w)) != v5 | a(u,y,K(x,w)) = v5. x * T(y * K(z,K(x * y,u)),w) = T(x * T(y,w),K(z,u)). x \ (y * T(x * K(z,K(y * x,u \ w)),K(z,w \ u))) = T(y,K(u \ w,z) * x). K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). K(x,K(y,z \ (u * (w \ z)))) = K(x,K(y,w \ u)). K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). 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,u \ (z \ w))). 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 * v5))) = K(x,K(y,v5 \ (w \ (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 \ (z / u)))). K(x,K(y,z \ (u \ (w / v5)))) = K(x,K(y,w \ (v5 * (u * z)))). 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,v5 \ (w * (u * z)))). x != K(y,K(z,K(u,w) \ v5)) | K(y,K(z,v5)) = x. K(x,K(y,z * (u * w))) = K(x,K(y,w \ (u \ (z \ K(v5,v6))))). K(x,K(y,z \ (u \ (w \ K(v5,v6))))) = K(x,K(y,w * (u * z))). 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 \ v5)))) = K(x,K(y,v5 \ (w * (T(u,v6) * z)))). K(x,K(y,z \ (u * (T(w,v5) * v6)))) = K(x,K(y,v6 \ (w \ (u \ z)))). K(x,K(y,z)) * y = T(y,K(x,L(z,u,w))). T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. K(x,K((y * (z \ 1)) * u,w)) = K(x,K(y * (z \ u),w)). K(x,K((((y \ 1) / z) * u) * y,w)) = K(x,K(z \ u,T(w,y))). T(x,K(y,z)) = T(x,K(y,L(z,u,w))). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). K(x,L(y,z,u)) * w = T(w * K(x,L(y,z,u)),K(x,y)). T(x * K(y,L(z,u,w)),K(y,z)) = K(y,L(z,u,w)) * x. K(x,L(y,z,u)) * T(w,K(x,y)) = w * K(x,L(y,z,u)). T(x,K(L(y,z,u),w)) = T(x,K(y,w)). T(x,K(y,(z \ 1) \ ((u \ 1) \ w))) = T(x,K(y,(z * u) * w)). x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). T(x * (T(y,x) * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (y * x). x != K(y,L(z,u,w)) * (u * w) | (K(y,z) * u) * w = x. (K(x,y) * z) * u = T(u * (T(z,u) * K(x,y)),K(x,y)). T(x * (T(y,x) * K(z,u)),K(z,u)) = (K(z,u) * y) * x. K(x * ((K(y,z) * u) * w),v5) = K(x * (w * (T(u,w) * K(y,z))),v5). K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * ((K(u,w) * z) * y),v5). K(x,((K(y,z) * u) * w) * v5) = K(x,(w * (T(u,w) * K(y,z))) * v5). K(x,(y * (T(z,y) * K(u,w))) * v5) = K(x,((K(u,w) * z) * y) * v5). x != K(y,L(z,u,w)) * (w * u) | (K(y,z) * u) * T(w,u) = x. (K(x,y) * z) * T(u,z) = T(u * (z * K(x,y)),K(x,y)). T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,T((u * (v5 \ z)) * w,w \ 1))). x != K(y,K(z,T(u,w))) | K(y,K(z,T(u,v5))) = x. K(x,K(y,T((z * (u \ w)) * v5,v6))) = K(x,K(y,w \ ((z \ L(v5 \ 1,v5,z * (u \ w))) * u))). K(x,K(y,z * (u * (w \ v5)))) = K(x,K(y,v5 \ ((u \ L(z \ 1,z,u * (w \ v5))) * w))). K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,w * (u * (v5 \ z)))). L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). a(x,y,K(z \ u,w)) * K(w,u / z) = K(w,L(u / z,y,x)). a(x,y,K(z,u * T(w,v5))) = a(z,y,K(x,u \ T(w \ 1,v5))). a(x,y,K(z,u \ T(w \ 1,v5))) = a(z,y,K(x,u * T(w,v5))). K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * T(w,v5))). x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. L(x,x \ y,K(z,y)) = x. L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. L(x,x \ T(y,z),K(u,y)) = x. x \ (y * K(z,y)) = (x \ y) * K(z,y). x \ (T(y,z) * K(u,y)) = (x \ T(y,z)) * K(u,y). T(x,T(y,L(z,u,w))) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,L(z,u,w))). K(L((x * a(y,z,K(u,w))) / v5,v5,a(w,z,K(u,y))),v6) != v7 | K(x / (v5 * a(w,z,K(u,y))),v6) = v7. K(x / (y * a(z,u,K(w,v5))),v6) = K((x * a(v5,u,K(w,z))) / y,v6). K((x * a(y,z,K(u,w))) / v5,v6) = K(x / (v5 * a(w,z,K(u,y))),v6). K(x,y) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. T(x,K(y,z)) \ (y * K(z,y)) != u | (x * K(y,z)) \ y = u. (x * K(y,z)) \ y = (T(x,K(y,z)) \ y) * K(z,y). (T(x,K(y,z)) \ y) * K(z,y) = (x * K(y,z)) \ y. a(x,y,x) \ (z * K(x,z)) != u | (x * z) / R(x,y,x) = u. (x * y) / R(x,z,x) = (a(x,z,x) \ y) * K(x,y). (a(x,y,x) \ z) * K(x,z) = (x * z) / R(x,y,x). x \ (y / z) = (x \ (z \ y)) * K(z,z \ y). (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). x \ (y * (z * K(y,y * z))) = (x \ (y * z)) * K(y,y * z). T(x,T(y,z)) = T(x,T(y,L(z,u,w))). T(x,T(y,L(z,u,w))) = T(x,T(y,z)). T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. K(x,T(y,z)) = K(x,T(y,L(z,u,w))). K(x,T(y,L(z,u,w))) = K(x,T(y,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))) = K(x,T(y,(u \ z) \ w)). K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). K(x,T(L(y,z,u) \ w,y)) != v5 | K(x,w / L(y,z,u)) = v5. K(x,T(y,z)) / L(z,u,w) != v5 | L(z,u,w) \ K(x,y) = v5. K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,(z \ (u \ y)) \ y). K((x * T(y,K(z,u))) * w,v5) = K((x * y) * w,v5). K((x * (y * T(z,K(u,w)))) * v5,v6) = K((x * (y * z)) * v5,v6). K((x * (y * K(z,u))) * w,v5) = K((x * (K(z,u) * y)) * w,v5). K((x * (K(y,z) * u)) * w,v5) = K((x * (u * K(y,z))) * w,v5). K((T(x,K(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) != w | (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)) = w. (x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y)) = L(a(x,K(u,z),y),x * (K(u,z) * y),K(z,(x * (u \ y)) \ (x * y))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). K(x,T(y,z \ (u / w))) = K(x,T(y,z \ (w \ u))). K(x,K(y,z * (u \ (w / v5)))) = K(x,K(y,z * (u \ (v5 \ w)))). x \ (y * T(x * K(z,K(y * x,u * w)),K(z,u \ w))) = T(y,K(w \ u,z) * x). x \ (y * T(x * K(z,K(y * x,u * w)),K(z,w * u))) = T(y,K(w \ u,z) * x). x \ T(y * T(x,K(z,u * w)),K(z,w * u)) = T(y,K(u \ w,z) * x). T(x,K(y * z,u) * w) = T(x,K(y \ z,u) * w). T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). x * y != T(z,K(u \ w,v5) * v6) | x \ T(z,K(u * w,v5) * v6) = y. x \ T(x,K(y * z,u) * w) = K(x,K(y \ z,u) * w). x / T(x,K(y * z,u) * w) = K(K(y \ z,u) * w,x). K(x,K(y * z,u) * w) = K(x,K(y \ z,u) * w). K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(L(u,w,v5),z) * x). T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). T(x,K(y,z) * u) = T(x,K(L(y,w,v5),z) * u). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). T(x,K((y * z) \ u,w) * v5) = T(x,K(z \ (y \ u),w) * v5). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). T(x,y \ K(z,L(u,w,v5))) = T(x,K(z,u) * (y \ 1)). x * y != T(z,K(u,L(w,v5,v6)) * v7) | x \ T(z,K(u,w) * v7) = y. x \ T(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). x / T(x,K(y,z) * u) = K(K(y,L(z,w,v5)) * u,x). K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). T(x,(K(y,z) * u) * (u \ w)) = T(x,K(y,z) * w). K(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. K(x,y * (z * K(u,w))) = K(x,K(u,w) * (y * z)). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). K(x,K(L(y,z,u),w) * v5) = K(x,K(y,w) * v5). K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,y \ z))). K(x,y * (z * K(u,u \ w))) = K(x,K(u,w) * (y * z)). x != K(y,z * (u * K(w,v5))) | K(y,z * (K(w,v5) * u)) = x. K(x,y * (K(z,u) * w)) = K(x,K(z,u) * (y * w)). K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z \ 1))). K(x,y * (z * K(u,w \ 1))) = K(x,K(u,w) * (y * z)). K(x,K(y,z) * (u * (w / z))) = K(x,u * (w / T(z,y))). K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ T(y,z))). K(x,y * (z * K(u,u \ w))) != v5 | K(x,K(u,w) * (y * z)) = v5. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. K(x,K(y * z,u) * (w * (v5 / u))) = K(x,w * (v5 / T(u,y \ z))). K(x,K(y,z) * (u * (w / z))) != v5 | K(x,u * (w / T(z,y))) = v5. K(x,y * (z / T(u,w * v5))) = K(x,y * (z / T(u,w \ v5))). K(x,y * (z / T(u,w \ v5))) = K(x,y * (z / T(u,w * v5))). K(x,y * (z / u)) = K(x,K(u,z) * (y * (u \ z))). K(x,K(y,z) * (u * (y \ z))) = K(x,u * (z / y)). K(x,y * (z \ ((u \ w) \ w))) = K(x,K(u,w) * (y * (z \ u))). K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ ((y \ z) \ z))). K(x,y * (K(z,u) / w)) != v5 | K(x,y * (w \ K(z,u))) = v5. K(x,K(L(y,z,u),w) * (z * u)) != v5 | K(x,(K(w,y) * z) * u) = v5. K(x,(K(y,z) * u) * w) = K(x,K(z,y) * (u * w)). K(x,(y * K(z,u)) * w) = K(x,K(u,z) * (y * w)). K(x \ 1,(K(y,z) * u) * w) != v5 | K(x,(w \ 1) * (u \ K(z,y))) = v5. K(x,(y \ 1) * (z \ K(u,w))) = K(x \ 1,K(u,w) * (z * y)). K(x \ 1,K(y,z) * (u * w)) = K(x,(w \ 1) * (u \ K(y,z))). K(x,K(y,z) * (u * w)) * K(x,K(u,w)) = K(x,w * (K(z,y) * u)). K(x,(y * K(z,u)) * w) != v5 | K(x,w * (y * K(z,u))) * K(x,K(w,y)) = v5. K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(w,u) * (z * y)). K(x,(y * T(z,u)) * w) = K(x,K(u,z) * ((y * z) * w)). K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). K(x,(y / T(z,u)) * w) = K(x,K(z,u) * ((y / z) * w)). K(x,K(y,z) * ((u / y) * w)) = K(x,(u / T(y,z)) * w). L(x,y,K(K(z,u) * w,K(u,z) * (w * (K(u,z) * v5)))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). K(x,(y \ T(z,u)) * w) = K(x,K(u,z) * ((y \ z) * w)). K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). K(x,K(y,z) * (u * w)) = K(x,u * (K(K(v5,v6) * y,z) * w)). K(x,y * (K(K(z,u) * w,v5) * v6)) = K(x,K(w,v5) * (y * v6)). K(x,K(y,z) * (u * w)) = K(x,u * (K(z,K(v5,v6) * y) * w)). K(x,y * (K(z,K(u,w) * v5) * v6)) = K(x,K(v5,z) * (y * v6)). K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). K(x,K(y,z) * (u * (y * w))) = K(x,u * (T(y,z) * w)). K(x,K(y,L(T(z,u),w,v5)) * (v6 * u)) = K(x,v6 * (u * K(y,L(z,w,v5)))). K(x,K(y,L(z,z \ u,w)) * (v5 * ((z \ u) * w))) = K(x,v5 * (T(R(z,z \ u,w),y) \ (u * w))). K(x,y * (K(z \ u,z) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. K(x,K(y,z) * (u * (K(y,z) * w))) = K(x,u * w). K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. K(x,K(y,z) * (u * (y \ z))) != w | K(x,u * (z / y)) = w. K(x,y * (z / u)) = K(x,y * (T(u,z) \ z)). K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)). K(x,K(y,z) * (u * (y \ K(w,v5)))) != v6 | K(x,u * T(y \ K(w,v5),z)) = v6. K(x,y * T(z \ K(u,w),v5)) = K(x,y * (T(z,v5) \ K(u,w))). K(x,y * (T(z,u) \ K(w,v5))) = K(x,y * T(z \ K(w,v5),u)). K(x,y * (z / u)) * K(x,K(y,z / u)) = K(x,(T(u,z) \ z) * y). K(x,y * (((z * u) / z) \ w)) = K(x,y * (T(u,z) \ w)). (x \ K(y,z * (T(u,w) \ v5))) \ (x \ 1) = K(z * (K(u,w) * (u \ v5)),y). K(x * (K(y,z) * (y \ u)),w) = (v5 \ K(w,x * (T(y,z) \ u))) \ (v5 \ 1). K(x,y * (z \ u)) = K(x,y * (T(T(z,w),w) \ u)). K(x,y * (T(T(z,u),u) \ w)) = K(x,y * (z \ w)). K(x,y * (T(z,u) \ u)) != w | K(x,y * (u / z)) = w. K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). K(x,y * (z / T(u,w \ v5))) != v6 | K(x,y * (z / T(u,w * v5))) = v6. K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). K(x,T(y,z \ u) * (T(u,z) / z)) != w | K(x,(T(u,z) / z) * y) = w. K(x,(T(y,z) / z) * u) = K(x,T(u,z \ y) * (z \ y)). K(x,T(y,z \ u) * (z \ u)) = K(x,(T(u,z) / z) * y). 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,K(z,u)) / (u / z)) * w) = K(x,((u / z) \ (y * K(z \ u,y))) * w). K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,(T(u,K(z,y)) / (y / z)) * w). K(K(x,y) * z,u) = K(K(x,L(y,w,v5)) * z,u). K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. K(K(x * (y * z),z) * u,w) = K(K(L(z,y,x),x * y) * u,w). K(K(L(x,y,z),z * y) * u,w) = K(K(z * (y * x),x) * u,w). K(K(x,y) * z,u) = K(z * K(x,L(y,w,v5)),u). K(x * K(y,L(z,u,w)),v5) = K(K(y,z) * x,v5). K(K(x,y \ (z \ u)) * w,v5) != v6 | K(K(x,(z * y) \ u) * w,v5) = v6. K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. K(K(x,y * z) * u,w) = K(K(y * (z * x),x) * u,w). K(K(x * (y * z),z) * u,w) = K(K(z,x * y) * u,w). K(K(x * (y * z),y) * u,w) = K(K(y,x * z) * u,w). K(x \ K(y,z * (y * u)),w) = K(K(y,z * u) * x,w \ 1). K((K(x,K(x * y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(x \ K(y,z * (y * u)),w) != v5 | K(x \ K(y,z * u),w) = v5. K(x,K(y,z) * (u * ((z \ w) * v5))) = K(x,u * (T(R(z,z \ w,v5),y) \ (w * v5))). K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,K(v5,z) * (y * ((z \ u) * w))). K(x,y * ((T(z,u) \ w) * v5)) = K(x,K(u,z) * (y * ((z \ w) * v5))). K(x,K(y,z) * (u * ((z \ w) * v5))) = K(x,u * ((T(z,y) \ w) * v5)). K(x,K(y,z) * (u * ((y \ w) * v5))) = K(x,u * ((T(y,z) \ w) * v5)). K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(z,y) * w)) = v5. K(K((x * y) \ z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) \ z,u) * w,v5). K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). K((T(x,y) \ z) * u,w) = K(K(y,x) * ((x \ z) * u),w). K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). K(K(x,y * ((z \ 1) \ u)) * w,v5) = K(K(x,(y * z) * u) * w,v5). K(K(x \ (y \ z),u) * w,v5) != v6 | K(K(u,z \ (y * x)) * w,v5) = v6. K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). K(x * (y \ K(z,u)),w) = K(K(z,u) * (x * (y \ 1)),w). K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). K(x * K(L(y,z,u \ 1),(w / u) * z),v5) != v6 | K(K(w * ((u \ 1) * z),y) * x,v5) = v6. K(K(x * ((y \ 1) * z),u) * w,v5) = K(K(u,(x / y) * z) * w,v5). K(x * K(L(y,z,u),w),v5) != v6 | K(x * K(y,w),v5) = v6. K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y \ 1)),w). K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(y * x,y)),w). K(x,(L(y,z,u) \ y) \ w) = K(x,w / (L(y,z,u) \ y)). K(x,y / (L(z,u,w) \ z)) = K(x,(L(z,u,w) \ z) \ y). K(x,y / (L(z,u,w) \ z)) != v5 | K(x,y * (L(z,u,w) * (z \ 1))) = v5. K(x,y * (L(z,u,w) * (z \ 1))) = K(x,(L(z,u,w) \ z) \ y). K(x,y * (z \ L(z,u,w))) = K(x,(L(z,u,w) \ z) \ y). K(x,(L(y,z,u) \ y) \ w) = K(x,w * (y \ L(y,z,u))). K(x,a(y,y \ 1,z) \ u) = K(x,u * (z \ L(z,y \ 1,y))). K(x,y * (z \ L(z,u \ 1,u))) = K(x,a(u,u \ 1,z) \ y). K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). K(x,K(y,z * y) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) * ((u \ (y * z)) * w)) = K(x,(u \ T(y * z,z)) * w). K(x,K(y,z * u)) * ((u * K(x,y)) * z) != w | ((u * z) * K(x,T(y,u))) * a(K(x,T(y,u)),u,z) = w. ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = (x * K(z,T(u,y * x))) * y. K(x,K(y,z)) * (u * w) != v5 | u * (w * K(x,K(y,z))) = v5. (x * K(y,z)) * (u * K(y,K(z,w))) = (x * K(y,T(z,w))) * u. K(x,y * (z \ K(u,T(w,v5)))) != v6 | K(x,y * (z \ K(u,w))) = v6. T(x,(y \ 1) * ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). T(x,y \ ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). (x * (K(y,T(z,u)) * w)) \ ((x * K(y,T(z,u))) * w) = L(a(x,K(y,z),w),x * (K(y,z) * w),K(y,K(z,u))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = (x * (K(y,T(z,w)) * u)) \ ((x * K(y,T(z,w))) * u). a(x,K(y,T(z,u)),w) = L(a(x,K(y,z),w),x * (K(y,z) * w),K(y,K(z,u))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = a(x,K(y,T(z,w)),u). a(x,K(y,z),u) = a(x,K(y,T(z,w)),u). a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). a(x,K(y,T(z,u)),u) != w | L(x \ L(x,K(y,z),u),x,u * K(y,z)) = w. L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). a(x,K(y,T(z,u)),u) != w | (x * (u * K(y,z))) \ ((x * K(y,T(z,u))) * u) = w. (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,u),y). K(((T(x,T(y,z)) * y) \ u) * w,v5) = K(((T(x,y) * y) \ u) * w,v5). K((T(x,T(y,z)) \ u) * w,v5) = K((T(x,y) \ u) * w,v5). K(x,K(y,z) * ((u * K(w,v5)) * T(v6 \ y,u))) = K(x,(v6 \ T(y,z)) * (K(w,T(v5,u * (v6 \ y))) * u)). K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * ((v6 * K(w,v5)) * T(y \ z,v6))). K(x,(y / z) * u) = K(x,(T(z,y) \ y) * u). K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). K(x / (y * K(z,u)),w) = K((x * K(u,z)) / y,w). K((x * K(y,z)) / u,w) = K(x / (u * K(z,y)),w). K(x,y / (z * K(u,w))) = K(x,(y * K(w,u)) / z). K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). x != K(y,z / (u * K(w,v5))) | K(y,z * (u \ K(v5,w))) = x. K(x,y * (z \ K(u,w))) = K(x,(y * K(u,w)) / z). K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. K(K(x * y,z) * u,w) = K(K(x \ y,z) * u,w). K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). K(x * K(y \ z,u),w) = K(K(y * z,u) * x,w). K(K(x * y,z) * u,w) = K(u * K(x \ y,z),w). K(x / T(y,z * u),w) = K((x / y) * K(z \ u,y),w). K((x / y) * K(z \ u,y),w) = K(x / T(y,z * u),w). K(x / T(y,z \ u),w) = K(x / T(y,z * u),w). K(x \ K(y / T(z,u * w),v5),y / T(z,u \ w)) = K(x,(y / T(z,u \ w)) \ 1). (x * K(y / T(z,u * w),v5)) \ x = K(v5,y / T(z,u \ w)). K(x,y / T(z,u * w)) = K(x,y / T(z,u \ w)). K(x,y / T(z,u \ w)) = K(x,y / T(z,u * w)). x \ (T(y,z * y) * z) = (x \ (y * z)) * K(y,y * z). (x \ (y * z)) * K(y,y * z) = x \ (T(y,z * y) * z). (x \ (y * z)) * K(y,y * z) = x \ (T(y,y * z) * z). K((K(x,y) * z) \ u,T(w,z)) = K((K(v5,v6) * u) / (K(v5,v6) * (K(x,y) * z)),w). K(x,(y \ z) * (K(z,K(u,w) * v5) * v6)) = K(x,(y \ (v5 \ T(z * T(v5,K(w,u)),K(w,u)))) * v6). K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ u) * (K(u,K(v5,w) * z) * v6)). x != K(y,z * (K(u,K(w,v5) * v6) * v7)) | K(y,K(v6,u) * (z * v7)) = x. K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ (y \ T(z * T(y,K(v5,v6)),K(v5,v6)))) * w). K(x,K(y,z) * ((u \ z) * w)) != v5 | K(x,(u \ T(z,y)) * w) = v5. K(x,(y \ T(z,u)) * w) = K(x,(y \ (u \ T(z * T(u,K(v5,v6)),K(v5,v6)))) * w). K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ T(u,z)) * v6). K(x,(y \ T(z,K(u,w) * v5)) * v6) = K(x,(y \ T(z,v5)) * v6). x != K(y,K(z,u \ (T(w,v5) \ v6))) | K(y,K(z,u \ (w \ v6))) = x. K(x,K(y,z \ (u \ w))) = K(x,K(y,(T(u,v5) * z) \ w)). K(x,K(y,(T(z,u) * w) \ v5)) = K(x,K(y,w \ (z \ v5))). K(x,K(y,(z * (T(u,z) * w)) \ v5)) = K(x,K(y,L(w,T(u,z),z) \ ((u * z) \ v5))). K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(w * (T(u,w) * z)) \ v5)). x != K(y,K(z,(u * w) \ v5)) | K(y,K(z,w \ (u \ v5))) = x. K(x,K(y,(T(z,u) * w) \ (u \ v5))) = K(x,K(y,L(w,T(z,u),u) \ ((z * u) \ v5))). K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(T(u,w) * z) \ (w \ v5))). x != K(y,K(z,(T(u,w) * v5) \ v6)) | K(y,K(z,v5 \ (u \ v6))) = x. K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))). K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). K(x,K(y,L(z,u,w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). K(x,K(y,z) * ((u / z) * w)) = K(x,(u / T(z,y)) * w). K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,u * (w \ 1))). L(x,y,(K(z,u) * w) * K(v5,w \ 1)) = L(x,y,K(z,u) * T(w,v5)). L(x,y,K(z,u) * (w * K(v5,w \ 1))) = L(x,y,K(z,u) * T(w,v5)). L(x,y,K(z,u) / T(w \ 1,v5)) = L(x,y,K(z,u) * T(w,v5)). L(x,y,K(z,u) / w) != v5 | L(x,y,w \ K(z,u)) = v5. L(x,y,T(z \ 1,u) \ K(w,v5)) = L(x,y,K(w,v5) * T(z,u)). (a(x,y,x) \ z) * K(x,z) != u | (L(x,y,x) * z) / x = u. (L(x,y,x) * z) / x = (x * z) / R(x,y,x). K(K(x,y) * (z * (u \ 1)),w) != v5 | K(z * (u \ K(x,y)),w) = v5. K(x * (y \ K(z,u)),w) = K(x * (y \ K(z,u \ 1)),w). K(x * (y \ K(z,u \ 1)),w) = K(x * (y \ K(z,u)),w). K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,((v5 * w) \ v5) \ u)),v6). K(x * (y \ K(z,((u * w) \ u) \ v5)),v6) = K(x * (y \ K(z,v5 \ L(w \ 1,w,u))),v6). K(x,L(y,z,T(u,w))) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). K(x,L(y,z,u)) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) = a(y,w,K(v5,L(x,z,u))). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). a(L(x,y,z),u,K(w,v5)) != v6 | a(R(x,y,z),u,K(w,v5)) = v6. a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). x != a(y,y,K(z,u)) | 1 = x. 1 = a(R(x,y,z),x,K(u,w)). a(R(x,y,z),x,K(u,w)) = 1. L(K(x,y),z,R(z,u,w)) = K(x,y). K(x,L(y,z,R(z,u,w))) = K(x,y). K(x,L(y,z,L(z,u,w))) = K(x,y). x != (y \ K(z,u)) \ (y \ 1) | K(u,z) = x. K(x * (T(y,z) \ u),w) = K(x * (K(y,z) * (y \ u)),w). K(x * (K(y,z) * (y \ u)),w) = K(x * (T(y,z) \ u),w). K(x * (((y * z) / y) \ u),w) = K(x * (T(z,y) \ u),w). K(x * (y * T(y \ (z \ y),u)),w) = K(x * (T(z,u \ 1) \ y),w). K(x * ((y \ z) * K(y,u)),w) = K(x * (T(y,T(u,y \ z)) \ z),w). K(x * (T(y,T(z,y \ u)) \ u),w) = K(x * ((y \ u) * K(y,z)),w). x != K(y * (T(z,u) \ w),v5) | K(y * (K(z,u) * (z \ w)),v5) = x. K(x * (K(y,z) * (y \ u)),w) = K(x * (((z * y) / z) \ u),w). K(x * (((y * z) / y) \ u),w) = K(x * (K(z,y) * (z \ u)),w). K(x * ((L(y,z \ 1,z) / z) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). K(x * (L(y / z,z,z \ 1) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). K(x * (L(y,z,z \ 1) \ u),w) = K(x * (T((z \ 1) * (y * z),z) \ u),w). K(x * (T((y \ 1) * (z * y),y) \ u),w) = K(x * (L(z,y,y \ 1) \ u),w). K(x * (L(T(y,z) / z,T(z,y),T(z,y) \ 1) \ u),w) = K(x * (T((T(z,y) \ 1) * y,T(z,y)) \ u),w). K(x * (y * K(z,L(T(u,w),v5,v6))),v7) != v8 | K(x * (y * K(z,L(u,v5,v6))),v7) = v8. K(x,K(y,z) * ((u \ (z * y)) * w)) = K(x,(u \ T(z * y,y)) * w). K(x,y * (x * K(z,y \ 1))) != u | K(x,T(y * x,z)) = u. K(x,T(y * x,z)) = K(x,K(z,y) * (y * x)). K(x,K(y,z) * (z * x)) = K(x,T(z * x,y)). K(x,K(y,z) * (z * u)) != w | K(x,T(z,y) * u) = w. K(x,T(y,z) * x) = K(x,T(y * x,z)). K(x,x * T(y,z)) = K(x,T(y * x,z)). K(x,K(y,z)) * K(y,K(u,w) * (z * x)) = K(y,x * (z * K(w,u))). T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). T(x,y * (z * K(u,w))) = T(x,K(u,w) * (y * z)). T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y * K(K(u,z),K(u,z) \ y)). T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. T(x,y) = T(x,y * (K(z,u) * L(K(u,z),w,v5))). T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). T(x,y * a(z,u,K(w,v5))) = T(x,y). T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). K((x * a(y,z,K(u,w))) / v5,T(v6,x)) = K(v5 \ (x * a(y,z,K(u,w))),v6). T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). K(x,(T(y,z) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). T(x,T(y,z)) = T(x,T(y,a(u,w,K(v5,v6)) * z)). T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). T(x,a(y,z,K(u,w)) * v5) = T(x,v5). T(x,y) \ T(T(x,z),T(y,z)) = K(x,z * a(u,w,K(v5,v6))). K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). x != T(y,z) \ T(T(y,u),T(z,u)) | K(y,u) = x. K(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = K(x,y). T(x,y) \ T(T(x,z),T(y,z)) != u | K(x,z) = u. K(x,y) = K(x,y / a(z,u,K(w,v5))). K(x,y / a(z,u,K(w,v5))) = K(x,y). (x * K(y,z)) \ x = K(z * a(u,w,K(v5,v6)),y). K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). x != (K(y,z) * K(u,w)) \ K(u,w) | K(z,y) = x. K(x,y) = K(x * a(z,u,K(w,v5)),y). K(x * a(y,z,K(u,w)),v5) = K(x,v5). K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. K(x * (y * a(z,u,K(w,v5))),v6) = K(x * y,v6). (a(x,y,K(z,u)) * w) * K(w,v5) = T(a(u,y,K(z,x)) \ w,v5). a(x,y,K(z,u)) * T(w,v5) = T(a(u,y,K(z,x)) \ w,v5). a(x,y,K(z,u)) * T(w,v5) = T(a(x,y,K(z,u)) * w,v5). T(x,y) * a(z,u,K(w,v5)) = T(a(z,u,K(w,v5)) * x,y). a(x,y,K(z,u)) * T(w,v5) = T(w * a(x,y,K(z,u)),v5). (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * T(a(z,u,K(w,v5)) * x,y). (a(x,y,K(z,u)) * w) * v5 = (w * v5) * a(x,y,K(z,L(u,T(w,v5),v5))). (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = (a(z,u,K(w,v5)) * x) * y. x * a(y,z,K(u,L(w,T(u,v5),v5))) != v6 | x * a(y,z,K(u,w)) = v6. (x * y) * a(z,u,K(x,w)) = (a(z,u,K(x,w)) * x) * y. (a(x,y,K(z,u)) * z) * w = (z * w) * a(x,y,K(z,u)). x != (y * z) * a(u,w,K(y,v5)) | y * (z * a(u,w,K(y,v5))) = x. x * (y * a(z,u,K(x,w))) = (a(z,u,K(x,w)) * x) * y. (a(x,y,K(z,u)) * z) * w = z * (w * a(x,y,K(z,u))). (x * a(y,z,K(x,u))) * w = x * (w * a(y,z,K(x,u))). x * y != z * (y * a(u,y,K(z,w))) | L(z,y,K(w,u)) = x. L(x,y,K(z,u)) = x * a(u,y,K(x,z)). x * a(y,z,K(x,u)) = L(x,z,K(u,y)). x * a(y,z,K(u,x)) = L(x,z,K(y,u)). T(x,a(y,z,u)) = L(x,z,K(u,y)). x * y != z * a(u,w,K(z,v5)) | x \ L(z,w,K(v5,u)) = y. x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). x \ L(x,y,K(z,T(u,w) \ v5)) = a(x,y,K(z,((w * u) / w) \ v5)). a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,T(w,u) \ v5)). a(x,y,K(z,u)) * u = L(u,y,K(x,z)). L(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * (x \ w). a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. T(a(x,y,K(z,u)) * w,v5) != v6 | T(w,v5) * a(x,y,K(z,u)) = v6. T(x,a(y,z,u)) * a(w,v5,K(v6,v7)) = L(a(w,v5,K(v6,v7)) * x,z,K(u,y)). T(a(x,y,z),a(u,w,y)) != v5 | a(x,y,z) = v5. a(x,y,z) = L(a(x,y,z),u,K(y,w)). L(a(x,y,z),u,K(y,w)) = a(x,y,z). T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. a(x,y,y \ 1) = L(a(x,y,y \ 1),z,K(u,w)). L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). a(x,L(y,z,K(u,w)) \ 1,T(y,a(w,z,u))) = a(x,y \ 1,y). (x * y) \ (L(x,z,K(u,w)) * y) = K(x,T(a(w,z,u),y)). (x * y) * a(z,u,K(w,y)) = x * L(y,u,K(z,w)). a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). x \ (a(y,z,K(x,u)) * w) = L(x,z,K(y,u)) \ w. L(x,y,K(z,u)) \ 1 = T(x \ 1,a(u,y,z)). (x \ y) * a(z,u,K(x,w)) = L(x,u,K(z,w)) \ y. K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,(y \ 1) * z). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). K(x,y * (K(z,u) * (w * v5))) = K(x,y * ((K(z,u) * w) * v5)). K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (K(z,u) * (w * v5))). K(x,y * L(z,u,K(w,v5))) = K(x,y * z). K(x,y * (z \ (K(u,w) * v5))) = K(x,y * ((K(w,u) * z) \ v5)). K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(u,z) * v5))). K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. K(x,y * (z * a(u,w,K(v5,v6)))) != v7 | K(x,y * z) = v7. K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. x != K(y,T(a(z,u,w),v5)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = (x * w) \ (L(x,y,K(z,u)) * w). (x * y) \ (L(x,z,K(u,w)) * y) = a(x,z,K(u,w)). K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). K(x,T(y \ (K(z,u) * w),v5) \ v6) = K(x,T((K(z,u) \ y) \ w,v5) \ v6). K(x,T((K(y,z) \ u) \ w,v5) \ v6) = K(x,T(u \ (K(y,z) * w),v5) \ v6). K(x,(y \ (K(z,u) * w)) \ v5) = K(x,((K(u,z) * y) \ w) \ v5). K(x,((K(y,z) * u) \ w) \ v5) = K(x,(u \ (K(z,y) * w)) \ v5). K(x,(y \ z) * K(u,w)) = K(x,y \ (z * K(u,w))). K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(u,z)). K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). K(x,y \ (z * K(u,w))) != v5 | K(x,(K(w,u) * y) \ z) = v5. K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). K(x,(K(y,z) * (u \ 1)) * w) = K(x,(u \ w) * K(y,z)). K(x,(y / T(z,u)) \ w) = K(x,((y / z) \ w) * K(z,u)). K(x,((y / z) \ u) * K(z,w)) = K(x,(y / T(z,w)) \ u). K(x,(y \ K(z,u)) \ w) = K(x,((y \ 1) \ w) * K(u,z)). K(x,((y \ 1) \ z) * K(u,w)) = K(x,(y \ K(w,u)) \ z). K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). K(x,K(y,z) * ((z / y) \ u)) != w | K(x,(y \ z) \ u) = w. K(x,(y \ z) \ u) = K(x,(z / T(y,z)) \ u). K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). x * K(x,(y \ z) * K(u,w)) = T(x,(K(w,u) * y) \ z). K(x,(y * (K(z,y) * u)) \ w) = K(x,((y * u) \ w) * K(y,z)). K(x,(T(y,z) * u) \ w) = K(x,((y * u) \ w) * K(z,y)). K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,w) * z) \ u). K(x,((y * K(z,u)) \ 1) \ w) = K(x,((y \ 1) \ w) * K(z,u)). K(x,K(K(y,z) * u,(u \ w) * K(z,y)) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). K(K(x * K(y,z),(x \ u) * K(y,z)) * w,v5) = K(K(K(z,y) * x,u) * w,v5). K(x,(y * K(z,u)) * w) = K(x,((y \ 1) \ w) * K(z,u)). K(x,((y \ 1) \ z) * K(u,w)) = K(x,(y * K(u,w)) * z). x != K(y,(z * K(u,w)) * v5) | K(y,K(w,u) * (z * v5)) = x. K(x,K(y,z) * (u * w)) = K(x,((u \ 1) \ w) * K(z,y)). K(x,((y \ 1) \ z) * K(u,w)) = K(x,K(w,u) * (y * z)). K(x,K(y,z) * ((u \ 1) \ w)) = K(x,K(y,z) * (u * w)). K(x,(y \ z) * K(u,w)) = K(x,K(w,u) * ((y \ 1) * z)). K(x,K(y,z) * ((u \ 1) * w)) = K(x,(u \ w) * K(z,y)). K(x,T(y \ (K(z,u) * w),v5)) = K((x \ v5) \ v5,(y \ w) * K(z,u)). K((x \ y) \ y,(z \ u) * K(w,v5)) = K(x,T(z \ (K(w,v5) * u),y)). x != K(y,z * K(u,T(w,v5))) | K(y,z * K(u,w)) = x. K(x,(y \ z) * K(u,w)) = K(x,y \ (K(u,T(w,v5)) * z)). K(x,y \ (K(z,T(u,w)) * v5)) = K(x,(y \ v5) * K(z,u)). x * K(x,(y \ z) * K(u,w)) = T(x,y \ (K(u,w) * z)). K(x,y \ (T(z,u) * w)) = K(x,(y \ (z * w)) * K(z,u)). K(x,(y \ (z * u)) * K(z,w)) = K(x,y \ (T(z,w) * u)). K(x,y \ (((z * u) / z) \ w)) = K(x,(y \ (u \ w)) * K(u,z)). K(x,(y \ z) * K(u,w)) * K(x,K(y,K(w,u) * z)) = K(x,(K(u,w) * z) / y). K(K(x,(x \ (y * z)) * K(u,z)) * w,v5) = K(K(x,y * T(z,u)) * w,v5). K(x,((y \ 1) \ z) * K(u,w)) != v5 | K(x,K(w,u) * (y * z)) = v5. K(x,K(y,z) * (u * w)) = K(x,(u \ K(y,z)) \ w). K(x,(y \ K(z,u)) \ w) = K(x,K(z,u) * (y * w)). K(x,(K(y,z) / u) \ w) = K(x,K(y,z) * (u * w)). K(x,(K(y,z) / u) * w) = K(x,(u \ w) * K(y,z)). K(x,(y \ z) * K(u,w)) = K(x,(K(u,w) / y) * z). K(x,K(y,z) * (u \ w)) = K(x,(K(z,y) / u) * w). K(x,(K(y,z) / u) * w) = K(x,K(z,y) * (u \ w)). K(x,K(y,K(z,u) * (w \ v5))) * K(x,y * (v5 \ (w * K(z,u)))) = K(x,(v5 \ ((K(u,z) / w) \ 1)) * y). K(x,K(y,z \ u)) * K(x,y * (u \ (z * K(w,v5)))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). x / T(x,y) = K(a(z,u,K(w,v5)) * y,x). K(a(x,y,K(z,u)) * w,v5) = v5 / T(v5,w). K(a(x,y,K(z,u)) * w,v5) != v6 | K(w,v5) = v6. K(x * (y * a(z,u,K(w,v5))),v6) != v7 | K(x * y,v6) = v7. K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. L(x,y,T(z,u)) \ L(x,y,z) = a(u,z * y,K(z,L(x,y,z))). a(x,y * z,K(y,L(u,z,y))) = L(u,z,T(y,x)) \ L(u,z,y). a(x,y * z,K(y,u)) = L(u,z,T(y,x)) \ L(u,z,y). L(x,y,T(z,u)) \ L(x,y,z) = a(u,z * y,K(z,x)). K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). K(x,(y * z) \ u) = K(x,(T(z,y) * y) \ u). K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). x * K(x,(y * z) \ u) = T(x,(T(z,y) * y) \ u). T(x,(T(y,z) * z) \ u) = x * K(x,(z * y) \ u). K(x,T(T(y,z) * z,u) \ 1) = K(x,(z * y) \ K(u,T(y,z) * z)). K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(T(z,y) * y,u) \ 1). (x * K(y,(z * u) \ w)) \ x = K((T(u,z) * z) \ w,y). K((T(x,y) * y) \ z,u) = (w * K(u,(y * x) \ z)) \ w. K(x,(T(y,z * u) * T(u * z,u)) \ w) = K(x,(T(u * z,u) * y) \ w). K(x,(y * T(z * u,z)) \ w) != v5 | K(x,(y * (u * z)) \ w) = v5. K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. K(x,((y * z) * u) \ w) = K(x,(T(z * y,z) * u) \ w). K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). K(x,K(y * z,u) * (w \ (u * v5))) = K(x,w \ (T(u,y \ z) * v5)). K(x,K(y,z) * (u \ (z * w))) != v5 | K(x,u \ (T(z,y) * w)) = v5. K(x,y \ (T(z,u * w) * v5)) = K(x,y \ (T(z,u \ w) * v5)). K(x,y \ (T(z,u \ w) * v5)) = K(x,y \ (T(z,u * w) * v5)). K(x,y * (K(z,u) * (w * v5))) = K(x,y * (w * (v5 * K(z,u)))). K(x,y * (z * (u * K(w,v5)))) != v6 | K(x,y * (K(w,v5) * (z * u))) = v6. K(x,y \ (z * a(u,w,K(v5,v6)))) != v7 | K(x,y \ z) = v7. K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). K(x,y \ K(z,L(u,w,v5))) != v6 | K(x,y \ K(z,u)) = v6. K((x * y) \ z,u) = K((T(y,x) * x) \ z,u). K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). K(x / (T(y,z) * z),u) = K((z * y) \ x,T(u,z * y)). K((x * y) \ z,T(u,x * y)) = K(z / (T(y,x) * x),u). K(x \ (T(y,z) * z),u) = K((z * y) \ x,u \ 1). K((x * y) \ z,u \ 1) = K(z \ (T(y,x) * x),u). x != K(y \ (z \ u),L(w,z \ u,z)) | K((z * y) \ u,w) = x. K((x * (y * z)) \ u,w) = K((T(z,y) * y) \ (x \ u),L(w,x \ u,x)). K((T(x,y) * y) \ (z \ u),L(w,z \ u,z)) = K((z * (y * x)) \ u,w). K((T(x,y \ T(z,y)) * (y \ T(z,y))) \ u,w) = K(((T(y,z) \ z) * x) \ u,w). T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). K((T(x,T(y,z)) * (y * K(z,y))) \ u,w) = K(((y * K(z,y)) * x) \ u,w). K((T(x,y * z) * (T(z,y) * y)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). K((x * a(y,z,K(u,w))) / v5,v6) != v7 | K(x / (v5 * a(w,z,K(u,y))),v6) = v7. K(x / (y * a(z,u,K(w,v5))),T(v6,x)) = K(y \ (x * a(v5,u,K(w,z))),v6). K((x * a(y,z,K(u,w))) \ v5,v6) = K(x \ (v5 * a(w,z,K(u,y))),v6). K((x * a(y,z,u)) \ w,v5) != v6 | K(((x \ w) * x) / (a(y,z,u) * x),v5) = v6. K(((x \ y) * x) / (a(z,u,K(w,v5)) * x),v6) = K(x \ (y * a(v5,u,K(w,z))),v6). x != K(y,((z * u) \ w) * K(z,v5)) | K(y,(T(z,v5) * u) \ w) = x. K(x,(T(y,z) * u) \ w) = K(x,(y * (K(z,y) * u)) \ w). K(x,(y * (K(z,y) * u)) \ w) = K(x,(T(y,z) * u) \ w). K(x,(((y * z) / y) * u) \ w) = K(x,(T(z,y) * u) \ w). K((x * (T(y,z) * z)) \ u,w) = K((x * (z * y)) \ u,w). K((T(x,y * z) * (T(z,y) * y)) \ u,w) != v5 | K(((T(z,y) * y) * x) \ u,w) = v5. K(((T(x,y) * y) * z) \ u,w) = K((T(z,y * x) * (y * x)) \ u,w). K((T(x,y * z) * (y * z)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). K((T(x,y) * y) \ z,u) != w | K((y * x) \ z,u) = w. K(((x * y) * z) \ u,w) = K(((T(y,x) * x) * z) \ u,w). K(((T(x,y) * y) * z) \ u,w) = K(((y * x) * z) \ u,w). K(x,T(y,z) * z) = K(x,(z * a(u,w,K(v5,v6))) * y). K(x,y * z) = K(x,(y * a(u,w,K(v5,v6))) * z). K(x,(y * a(z,u,K(w,v5))) * v6) = K(x,y * v6). K(x,(L(y,z,K(u,w)) \ v5) * v6) = K(x,(y \ v5) * v6). K(x,(y \ z) * K(u,w)) * K(x,K(y,z)) = K(x,(K(u,w) * z) / y). K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,(K(z,y \ 1) * w) / u). K(x,y / (((K(z,u) * w) * v5) \ 1)) = K(x,y * (K(z,u) * (w * v5))). K(x,y / ((z \ 1) * (u \ K(w,v5)))) = K(x,y * (K(v5,w) * (u * z))). K(x,y / (z * (u \ K(w,v5)))) = K(x,y * (K(v5,w) * (u * (z \ 1)))). K(x,y * (K(z,u) * (w * (v5 \ 1)))) = K(x,y / (v5 * (w \ K(u,z)))). K(x,y * (K(z,u) * (w * v5))) != v6 | K(x,y * (w * (v5 * K(z,u)))) = v6. K(x,y * (z * ((u \ 1) * K(w,v5)))) = K(x,y / (u * (z \ K(v5,w)))). K(x,y * (z * (u \ K(w,v5)))) = K(x,y / (u * (z \ K(v5,w)))). K(x,y / (z * (u \ K(w,v5)))) = K(x,y * (u * (z \ K(v5,w)))). a(x,T(y,x),z) = a(x,y,z). a(x / y,y,z) = a(y \ x,y,z). a(x,T(y * z,y),u) != w | a(x,z * y,u) = w. a(x,y * x,z) = a(x,x * y,z). a(x,y * x,K(z,u)) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,u)) = a(x,x * y,K(z,u)). a(x,x * y,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,x \ y,K(z,u)). a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). ((K(x,y) / (z * u)) * z) / a(z,u,K(x,y)) = K(x,y) / L(u,z,z \ 1). a(x,y \ z,K(y,u)) = a(y,z,K(w \ (x \ w),u)). x != a(y,z,K(u \ (w \ u),v5)) | a(w,z,K(y,v5)) = x. a(x,y,K(z,u)) = a(x,z \ y,K(z,u)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) = a(x,z * y,K(z,u)). a(x,y * z,K(y,u)) = a(x,z,K(y,u)). x * a(x,y,K(z,u)) = T(x,a(u,z \ y,z)). T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u \ z,u \ 1)). K(x,L(y,z \ u,z \ 1)) = K(x,y) * a(y,u,K(z,x)). a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y / z,z)). K(x,L(y,z / u,u)) = a(x,z,K(u,y)) * K(x,y). x != K(y,z) * a(z,u,K(w,y)) | K(y,L(z,u,w \ 1)) = x. K(x,L(y,z,u \ 1)) = K(x,L(y,u \ z,u \ 1)). K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,u * z,u \ 1)). K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). K(x,L(y,z,(u \ w) \ w)) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,(z \ 1) \ 1)). K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)) = K(x,L((y * z) \ u,z,y \ 1)). K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). K(x,L(y,(z * K(u,w)) * v5,K(w,u) / z)) = K(x,L(y,v5,(z * K(u,w)) \ 1)). K(x,L(y,(z * K(u,T(w,v5))) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). K(x,y \ (z \ u)) = K(x,L(y,z,z \ 1) \ ((z \ 1) * u)). K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). K(x,L(y,z,z \ 1) \ u) = K(x,y \ (z \ ((z \ 1) \ u))). K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z \ 1) \ u). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(u \ (z \ 1),u) * w))). x != a(y,z,K(u,w)) * K(y,w) | K(y,L(w,z,u)) = x. K(x,L(y,z,u)) = K(x,L(y,z / u,u)). K(x,L(y,z / u,u)) = K(x,L(y,z,u)). K(x,L(y,z / u,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). K(x,L(T(y,z / u),z / u,u)) != w | K(x,(((z / u) * y) * u) / z) = w. K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,y / z),y,z)). K(x,L((y / z) \ u,y / z,z)) != w | K(x,T(y,z) \ (z * u)) = w. K(x,T(y,z) \ (z * u)) = K(x,L((y / z) \ u,y,z)). K(x,L((y / z) \ u,y,z)) = K(x,T(y,z) \ (z * u)). K(x,L(y,z,u)) = K(x,L(y,z * u,u)). K(x,L(y,z * u,u)) = K(x,L(y,z,u)). K(x,L(y,z,z \ u)) = K(x,L(y,u,z \ u)). K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). K(x,L(y,z,u)) * z = (K(x,y) * (z / u)) * u. K((x * (y \ 1)) * z,u) = K(x * (y \ z),L(u,z,y)). K(x * (y \ z),L(u,z,y)) = K((x * (y \ 1)) * z,u). K(x,(y * z) \ u) = K(x,L(z \ (y \ u),u,y)). K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,(z * u) \ 1)). K(x,y \ (z * u)) = K(x,L((z \ y) \ u,y,z)). K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). K(x,L(y,a(z,z \ 1,u),L(u,z \ 1,z))) = K(x,L(y,u,L(u,z \ 1,z))). a(x,y,K(z,L(u,w,v5))) * K(z,x) = K(z,L(x,y,L(u,v5 \ w,v5))). K(x,L(y,z,L(u,w \ v5,w))) = a(y,z,K(x,L(u,v5,w))) * K(x,y). K(x,L((L(y,z,u) \ y) \ w,y,L(y,z,u))) != v5 | K(x,y \ ((L(y,z,u) \ 1) \ w)) = v5. K(x,y \ ((L(y,z,u) \ 1) \ w)) = K(x,y \ (L(y,z,u) * w)). K(x,L(R(y,z,z \ 1) \ u,a(y,z,z \ 1),y \ 1)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). K(x,L(T(y * z,z \ 1) \ u,y,L(z \ 1,z,y))) = K(x,y \ (L(z \ 1,z,y) * u)). K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),(y * z) \ 1)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). a(x,y * z,K(y,u)) != w | L(u,z,T(y,x)) \ L(u,z,y) = w. L(x,y,T(z,u)) \ L(x,y,z) = a(u,y,K(z,x)). x \ y != a(z,u,K(w,v5)) | a(v5,u,K(w,z)) * y = x. a(x,y,K(z,u)) * L(x,y,z) = L(x,y,T(z,u)). a(x,y,K(z,u)) * L(x,y,z) != w | x * T(x \ L(x,y,z),u) = w. x * T(x \ L(x,y,z),u) = L(x,y,T(z,u)). (x * y) \ (L(x,z,T(u,w)) * y) = T((x * y) \ (L(x,z,u) * y),w). x != a(y,z,K(u,w)) * K(u,y) | K(u,L(y,z,w)) = x. K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,L(u,v5 \ w,v5))). K(x,L(y,z,L(u,w \ v5,w))) = K(x,L(y,z,L(u,v5,w))). K(x,L(y,a(z,z \ 1,u),L(u,z \ 1,z))) != w | K(x,L(y,u,L(u,z \ 1,z))) = w. K(x,L(y,z,L(z,u \ 1,u))) = K(x,L(y,a(u,u \ 1,z),L(z,1,u))). K(x,L(y,a(z,z \ 1,u),L(u,1,z))) = K(x,L(y,u,L(u,z \ 1,z))). K(x,L(y,a(z,z \ 1,u),u)) = K(x,L(y,u,L(u,z \ 1,z))). x != K(y,L(z,u,L(u,w,v5))) | K(y,z) = x. K(x,y) = K(x,L(y,a(z,z \ 1,u),u)). K(x,L(y,a(z,z \ 1,u),u)) = K(x,y). K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,y). K(x,L(R(y,z,z \ 1) \ u,a(y,z,z \ 1),y \ 1)) != w | K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = w. K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,R(y,z,z \ 1) \ u). K(x,L(y \ ((z / T(u,z)) \ w),w,z / T(u,z))) = K(x,((T(z,u) / u) * y) \ w). K(x,L(y,a(z,u,u \ 1),R(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(z * u,u \ 1) * w))). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (K(u * z,u \ 1) * (z \ w))). x != K(y,z \ (K(u,w) * v5)) | K(y,(z \ v5) * K(u,w)) = x. K(x,(y \ (z \ u)) * K(w * z,w \ 1)) = K(x,L(y,z,z \ 1) \ (((w \ (z \ 1)) * w) * u)). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,(y \ (z \ w)) * K(u * z,u \ 1)). x != K(y,z * K(u,w \ 1)) | K(y,K(w,u) * z) = x. K(x,K(y,y * z) * (u \ (z \ w))) = K(x,L(u,z,z \ 1) \ (((y \ (z \ 1)) * y) * w)). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,u * z) * (y \ (z \ w))). x != K(y,K(z,u * w) * v5) | K(y,K(z,w * u) * v5) = x. K(x,K(y,z * y) * (u \ (z \ w))) = K(x,L(u,z,z \ 1) \ (((y \ (z \ 1)) * y) * w)). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,z * u) * (y \ (z \ w))). x != K(y,K(z,u * z) * w) | K(y,K(u,z) * w) = x. K(x,K(y,z) * (u \ (y \ w))) = K(x,L(u,y,y \ 1) \ (((z \ (y \ 1)) * z) * w)). K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(z,u) * (y \ (z \ w))). (x \ y) * z != x \ (y * K(u,y \ (x * w))) | K(u,(x \ y) \ w) = z. K(x,(y \ z) \ u) = K(x,L(z \ (y * u),z,y \ 1)). K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). (K(x,L(y,z,u \ 1)) \ 1) * ((u \ z) \ 1) = (u \ (z * K(x,y))) \ 1. (x \ y) * K(z,L(z \ y,y,x \ 1)) = x \ (z * (y / z)). K(x,(y \ (z * K(u,w))) \ v5) * a(y \ z,K(u,L(w,z,y \ 1)),K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5))) = K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5)). K(x,L(y \ (z * u),y,z \ 1) \ 1) = K(x \ 1,(z \ y) \ u). (x * K(y,(z \ u) \ w)) \ x = K(L(u \ (z * w),u,z \ 1),y). K(L(x \ (y * z),x,y \ 1),u) = (w * K(u,(y \ x) \ z)) \ w. K(x,L(y \ (z * (u \ K(w,v5))),y,(z * (u \ 1)) \ 1)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). K((x \ y) \ z,u) = K(L(y \ (x * z),y,x \ 1),u). K(L(x \ (y * z),x,y \ 1),u) = K((y \ x) \ z,u). K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). K((x * y) \ z,L(u,z,x \ 1)) = K((x \ z) \ y,u \ 1). K(x,L(y,z,((u * w) / u) \ 1)) != v5 | K(x,L(y,z,w \ 1)) = v5. K(x \ (((y * z) / y) * u),L(w,x,z \ 1)) = K((((y * z) / y) \ x) \ u,w). K(x \ ((y \ 1) * z),L(u,x,y)) = K(((y \ 1) \ x) \ z,u). K(x,L(y,z,T(u,w) \ 1)) != v5 | K(x,L(y,z,u \ 1)) = v5. K(x \ (T(y,z) * u),L(w,x,y \ 1)) = K((T(y,z) \ x) \ u,w). K(T(x,y) \ (y * z),L(u,T(x,y),y \ 1)) = K((T(y,x) \ x) \ z,u). K(x \ (y \ z),u) = K((y * x) \ z,L(u,z,y \ 1)). K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). K((T(x,y) * z) \ u,L(w,u,x \ 1)) = K(z \ (T(x,y) \ u),w). K(((x * y) \ 1) \ z,L(u,z,(y \ 1) \ 1)) = K((x \ 1) \ ((y \ 1) \ z),u). K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,(x * y) \ 1)) = K(z \ ((y * x) \ u),w). K(((x * K(y,z)) * T(u,x)) \ w,L(v5,w,u \ 1)) = K((K(y,T(z,x * u)) * x) \ (u \ w),v5). K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),z \ (y \ 1))) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,L(T(u,y \ ((y \ 1) \ z)),y,y \ 1) \ z). K(x,L(T(y,z \ ((z \ 1) \ u)),z,z \ 1) \ u) = K(x,(z \ ((z \ 1) \ u)) / y). K(x,L(y / z,u,u \ 1) \ w) * K(x,K(u \ ((u \ 1) \ w),y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). K(x,L(T(y,z),u,u \ 1) \ z) = K(x,(u \ ((u \ 1) \ z)) / y). K(x,y / L(z,u,u \ 1)) = K(x,(u \ ((u \ 1) \ y)) / z). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y \ 1)). K(x,L(y \ (z * (u \ K(w,v5))),y,u * (z \ 1))) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). K(x,L(y,z,u \ (w \ 1))) = K(x,L(y,((w * u) \ 1) \ z,u \ (w \ 1))). K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,u \ (z \ 1))). x != K(y,L(z,u,(w \ v5) \ v5)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,(u \ 1) * z,u)). K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,z)). x * y != (K(z,u) * (w / v5)) * v5 | (K(z,L(u,w,v5)) * w) / y = x. (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). K(x,L(T(y,z / u),z,u)) * z = ((z / u) * K(x,y)) * u. K(x,L(T(y,z \ u),u,z)) * u = ((u / z) * K(x,y)) * z. K(x,L(T(y,(z \ u) \ u),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). K(x,L(T(y,T(z,u)),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). K(x,L(T(y,z),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). x != K(y * K(z \ u,w),v5) | K(K(z * u,w) * y,v5) = x. K(K(x * y,z) * (u * (w \ 1)),v5) = K(u * (w \ K(x \ y,z)),L(v5,K(x \ y,z),w)). K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(K(z * u,w) * (x * (y \ 1)),v5). K(x,L(y,z,L(u,w,w \ 1))) != v5 | K(x,L(y,z,u)) = v5. K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (L(y,z,z \ 1) \ 1)) * u,w). x != K(K(y,z) * (u * (w \ 1)),v5) | K(u * (w \ K(y,z)),v5) = x. K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)). K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(x * (y \ K(z * u,w)),v5). K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). x != K(y,(z \ ((z \ 1) \ u)) / w) | K(y,u / L(w,z,z \ 1)) = x. K(x,y / L(z / u,w,w \ 1)) = K(x,L(z / u,w,w \ 1) \ y) * K(x,K(y,z \ u)). K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,w / L(y / z,u,u \ 1)). K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,z * y)) = K(x,w / L(y / z,u,u \ 1)). K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,L(y \ ((z / T(u,z)) \ w),w,T(u,z) \ z)) = K(x,((T(z,u) / u) * y) \ w). K(((x * y) \ 1) \ z,L(u,z,y)) = K((x \ 1) \ ((y \ 1) \ z),u). K((x * y) * z,L(u,z,y)) = K((x \ 1) \ ((y \ 1) \ z),u). K((x \ 1) \ ((y \ 1) \ z),u) = K((x * y) * z,L(u,z,y)). K(x * ((y \ 1) \ z),u) = K((x * y) * z,L(u,z,y)). K((x * y) * z,L(u,z,y)) = K(x * ((y \ 1) \ z),u). K((x * y) * (z \ 1),L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). K((x * y) * z,z) = K(x * ((y \ 1) \ z),z). K(x * ((y \ 1) \ z),z) = K((x * y) * z,z). K((x * y) * a(y,z,z \ 1),L(u,a(y,z,z \ 1),y)) = K(x * R(y,z,z \ 1),u). K((x * K(x * y,y \ 1)) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,K(L(w,u,z),(y * z) * u) * v5). K(x,K(L(y,z,u),(w * u) * z) * v5) = K(x,K(w * ((u \ 1) \ z),y) * v5). K(x,K(y * ((z \ 1) \ u),w)) = K(x,K((y * z) * u,w)). K(x \ (y * z),u) = K(x \ (T(z,y) * y),u). K(x \ (T(y,z) * z),u) = K(x \ (z * y),u). K(x \ ((y \ z) * y),u) = K(x \ (y * (z / y)),u). x != K(y \ (z * (u / z)),w) | K(y \ T(u,z),w) = x. K(x \ T(y,z),u) = K(x \ ((z \ y) * z),u). K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). K(x * ((y * z) * K(u,w)),v5) != v6 | K(x * (y * (z * K(u,w))),v5) = v6. K(x * (y * (z * a(u,w,K(v5,v6)))),v7) != v8 | K(x * (y * z),v7) = v8. K(x * (a(y,z,K(u,w)) * v5),v6) != v7 | K(x * v5,v6) = v7. K(x * (y * (z * K(u,w))),v5) = K(x * ((y * z) * K(u,w)),v5). K(x * ((y * z) * K(u,w)),v5) = K(x * (y * (z * K(u,w))),v5). K(x * ((y * z) * K(u,w \ 1)),v5) != v6 | K(x * (y * (z * K(u,(v7 * w) \ v7))),v5) = v6. K(x,y / a(z,u,K(w,v5))) = L(K(x,y),a(z,u,K(w,v5)),v6). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). x != K(y,z / a(u,w,K(v5,v6))) | K(y,z) = x. K(x,y) = L(K(x,y),a(z,u,K(w,v5)),v6). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). K((x / y) * a(z,u,K(w,v5)),L(v6,a(v5,u,K(w,z)),y)) != v7 | K(x / (a(v5,u,K(w,z)) * y),v6) = v7. K(x / (a(y,z,K(u,w)) * v5),v6) = K((x / v5) * a(w,z,K(u,y)),v6). x != K(y * a(z,u,K(w,v5)),v6) | K(y,v6) = x. K(x / y,z) = K(x / (a(u,w,K(v5,v6)) * y),z). K(x / (a(y,z,K(u,w)) * v5),v6) = K(x / v5,v6). K(((x \ y) * x) / (a(z,u,K(w,v5)) * x),v6) != v7 | K(x \ (y * a(v5,u,K(w,z))),v6) = v7. K(x \ (y * a(z,u,K(w,v5))),v6) = K(((x \ y) * x) / x,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. K(x,y) = K((z * K(u,w)) \ (z * (x * K(u,w))),y). K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). K(L(x,K(y,z),u),w) = K(x,w). L(K(x,y),K(z,u),w) = K(x,y). K(x,L(y,K(z,u),w)) = K(x,y). K(L(K(x,y) * z,K(y,x),u),T(w,u)) != v5 | K((u * z) / (u * K(y,x)),w) = v5. K((x * y) / (x * K(z,u)),w) = K(K(u,z) * y,T(w,x)). K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). K(L((x / y) * K(z,u),K(u,z),y),w) != v5 | K(x / (K(u,z) * y),w) = v5. K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). K((x * K(y,z)) \ u,w) != v5 | K(x \ (u * K(z,y)),w) = v5. K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). K((x * K(y,z)) \ u,w) != v5 | K(x \ (K(z,y) * u),w) = v5. K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). K((x * T(y,z)) \ u,w) = K(((x * y) \ u) * K(z,y),w). K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). K((x * (y * K(z,u))) \ w,v5) = K(((x * y) \ w) * K(L(u,y,x),z),v5). K(((x * y) \ z) * K(L(u,y,x),w),v5) = K((x * (y * K(w,u))) \ z,v5). K((x * (y \ 1)) * (z * K(u,w)),v5) = K(((y * (x \ 1)) \ z) * K(u,w),v5). K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ 1)) * (z * K(u,w)),v5). K((x \ 1) * (y * K(z,u)),w) = K((x \ y) * K(z,u),w). K(x \ (y * T(z,u)),w) = K((x \ (y * z)) * K(z,u),w). K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). K(((x \ 1) \ y) * K(z,u),w) != v5 | K(x * (y * K(z,u)),w) = v5. K((K(x,T(y,z)) * u) \ w,v5) != v6 | K(((u \ 1) * K(y,T(x,z))) * w,v5) = v6. K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(T(y,u),z),v5). K(x \ y,z) = K(((K(u,w) * x) \ y) * K(u,w),z). K(((K(x,y) * z) \ u) * K(x,y),w) = K(z \ u,w). K((((x * y) / x) * z) \ u,w) = K(((y * z) \ u) * K(y,x),w). K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) != v6 | K(x * (y \ K(z * u,w)),v5) = v6. K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(z \ u,w)),v5). K(x * (y \ K(z \ u,w)),v5) = K(x * (y \ K(z * u,w)),v5). K(x,L((y / (z * u)) \ w,K(u,z),(y / (u * z)) \ 1)) != v5 | K(x,K(u,z) \ ((y / (u * z)) \ w)) = v5. K(x,K(y,z) \ ((u / (y * z)) \ w)) = K(x,(u / (z * y)) \ w). x * K(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = x * K(x,y). (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). (x * (y * K(z,u))) * K(w,v5) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,L(u,K(w,v5),v6))). K(x,L(y,z,L(u,K(w,v5),v6))) = a(y,z,K(x,u)) * K(x,y). K(x,y) * ((y \ K(z,u)) * w) = (T(y,x) \ K(z,u)) * w. K(x,y) * ((x \ K(z,u)) * w) = (K(x,y) * (x \ K(z,u))) * w. (K(x,y) * (x \ K(z,u))) * w = K(x,y) * ((x \ K(z,u)) * w). K(x,y) * (T(z,u) \ w) = (K(x,y) * K(u,z)) * (z \ w). (K(x,y) * K(z,u)) * (u \ w) = K(x,y) * (T(u,z) \ w). T(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = T(x,y). L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. K(((x * y) \ z) * K(u,w),v5) = K((x * (y * K(w,u))) \ z,v5). K((x * (y * K(z,u))) \ w,v5) = K(((x * y) \ w) * K(u,z),v5). K(T(x * (y * K(z,u)),K(w,v5)) \ v6,v7) = K(((x * y) \ v6) * K(u,z),v7). K((x * T(y,K(z,u))) \ w,v5) = K(((x * (K(z,u) * y)) \ w) * K(z,u),v5). K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * T(u,K(y,z))) \ w,v5). K(T(x * (T(y,x) * K(z,u)),K(w,v5)) \ v6,v7) = K(((y * x) \ v6) * K(u,z),v7). K(((K(x,y) * z) * u) \ w,v5) = K(((z * u) \ w) * K(y,x),v5). K(((K(x,y) * z) * u) \ u,w) != v5 | K(z \ K(y,x),L(T(w,u * z),K(x,y) * z,u)) = v5. K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((x * w) \ w) * K(y,z),u). K(((K(x,y) * z) * u) \ w,v5) != v6 | K(((u \ 1) * (z \ K(y,x))) * w,v5) = v6. K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * x) \ w) * K(z,u),v5). K(((T(x,y) * z) * u) \ w,v5) = K((((x * z) * u) \ w) * K(y,x),v5). K((((x * y) * z) \ u) * K(w,x),v5) = K(((T(x,w) * y) * z) \ u,v5). K(((x \ 1) * (y \ K(z,u))) * w,v5) != v6 | K(((y * K(u,z)) * x) \ w,v5) = v6. K(((x * K(y,z)) * u) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). K((x * (y \ K(z,u))) * w,v5) = K(((y * (x \ 1)) \ w) * K(z,u),v5). K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ K(u,w))) * z,v5). K(((x * K(y,z)) * T(u,x)) \ w,L(v5,w,u \ 1)) != v6 | K((K(y,T(z,x * u)) * x) \ (u \ w),v5) = v6. K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(((z * T(u,z)) \ w) * K(y,x),L(v5,w,u \ 1)). K(((x * T(y,x)) \ z) * K(u,w),L(v5,z,y \ 1)) = K((K(w,T(u,x * y)) * x) \ (y \ z),v5). K(((x * T(y,z)) * u) \ w,v5) = K((((x * y) * u) \ w) * K(z,y),v5). K((((x * y) * z) \ u) * K(w,y),v5) = K(((x * T(y,w)) * z) \ u,v5). K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) = K((K(w,T(u,y * x)) * y) \ (x \ z),v5). K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(((u * z) \ w) * K(y,x),L(v5,w,u \ 1)). a(x,K(y,z),K(u,w)) = 1. a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. K(a(x,K(y,z),u),w) = 1. x * a(y,K(z,u),K(w,v5)) != v6 | x = v6. T(a(x,K(y,z),u),w) = a(x,K(y,z),u). T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. L(a(x,K(y,z),u),w,K(v5,v6)) = a(x,K(y,z),u). x = L(x,K(y,z),K(u,w)). L(x,K(y,z),K(u,w)) = x. K(x,y) * (K(z,u) * w) = (K(z,u) * K(x,y)) * w. (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). x * (K(y,z) * K(u,w)) = (x * K(u,w)) * K(y,z). (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. (x * K(y,z)) * K(u,T(w,x)) != v5 | K(u,w) * (x * K(y,z)) = v5. K(x,y) * (z * K(u,w)) = z * (K(x,T(y,z)) * K(u,w)). x * (K(y,T(z,x)) * K(u,w)) = K(y,z) * (x * K(u,w)). (x \ K(y,z)) * K(u,w) = (x \ 1) * (K(u,w) * K(y,z)). (x \ 1) * (K(y,z) * K(u,w)) = (x \ K(u,w)) * K(y,z). (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). ((x / (y \ 1)) * (y \ K(z,u))) * K(w,v5) = x * (K(w,v5) * K(z,L(u,y,y \ (x \ 1)))). x * (K(y,z) * K(u,L(w,v5,v5 \ (x \ 1)))) = ((x / (v5 \ 1)) * (v5 \ K(u,w))) * K(y,z). x * a(y,z,K(z \ (x \ 1),u)) = ((x / (z \ 1)) * (z \ K(y,u))) * K(u,y). ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(y \ (x \ 1),u)). ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(x * y,u \ 1)). ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(x * y,y,K(z,u)). K((K(x,y) * z) \ u,T(w,z)) = K((u / z) * K(y,x),w). K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). K(x * (y \ K(z,u)),w) = K((x / y) * K(z,u),w). K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). K((K(x,y) * z) / (K(x,y) * u),w) != v5 | K(z / u,w) = v5. K(x / y,z) = K(((K(u,w) * x) / y) * K(w,u),z). K(((K(x,y) * z) / u) * K(y,x),w) = K(z / u,w). K(x / (T(y,z) \ u),w) = K((x / (y \ u)) * K(y,z),w). K((x / (y \ z)) * K(y,u),w) = K(x / (T(y,u) \ z),w). K(x / ((K(y,z) * u) * w),v5) = K((x / (u * w)) * K(L(z,u,w),y),v5). K((x / (y * z)) * K(L(u,y,z),w),v5) = K(x / ((K(w,u) * y) * z),v5). K(x / y,z) = K(x * (y \ K(u,K(w,v5))),z). K(x * (y \ K(z,K(u,w))),v5) = K(x / y,v5). K((x / (y * z)) * K(u,w),v5) = K(x / ((K(w,u) * y) * z),v5). K(x / ((K(y,z) * u) * w),v5) = K((x / (u * w)) * K(z,y),v5). x != K((y / z) * K(u,w),v5) | K(y * (z \ K(u,w)),v5) = x. K(x * ((y * z) \ K(u,w)),v5) = K(x / ((K(w,u) * y) * z),v5). K(x / ((K(y,z) * u) * w),v5) = K(x * ((u * w) \ K(z,y)),v5). K(x / ((K(y,z) * u) * w),v5) != v6 | K(x * ((w \ 1) * (u \ K(z,y))),v5) = v6. K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x * ((z * y) \ K(u,w)),v5). K(x * ((y * x) \ K(z,u)),w) != v5 | K(y \ K(z,u),w) = v5. a(x,y,K(z / u,w)) * K(x,w) = K(x,L(w,y,z * (u \ K(v5,K(v6,v7))))). K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(u / w,y)) * K(x,y). K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(w \ u,y)) * K(x,y). K(x,L(y,z,u \ w)) = K(x,L(y,z,w * (u \ K(v5,K(v6,v7))))). K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = K(x,L(y,z,w \ u)). K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). K(x,L(y,z,u * (w \ 1))) != v5 | K(x,L(y,z,(u \ w) \ 1)) = v5. K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). K(x,L(y,z,(K(u,w) / v5) * v6)) != v7 | K(x,L(y,z,(v5 * K(w,u)) \ v6)) = v7. K(x,L(y,z,(u * K(w,v5)) \ (v6 \ 1))) = K(x,L(y,z,v6 \ (K(v5,w) / u))). K(x,L(y \ (z * (u \ K(w,v5))),y,u * (z \ 1))) != v6 | K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))) = v6. K(x,((y * (z \ 1)) \ u) \ K(w,L(v5,z,y \ 1))) = K(x,L(u \ (y * (z \ K(w,v5))),u,y \ z)). K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). K(x,L(y,z,u * ((w * u) \ 1))) != v5 | K(x,L(y,z,w \ 1)) = v5. K(x,L(y,z,u \ 1)) = K(x,L(y,z,(u * w) \ w)). K(x,L(y,z,(u * w) \ w)) = K(x,L(y,z,u \ 1)). K(x,L(y,z,u * (w \ 1))) * v5 = K(x,L(y,z,w \ u)) * v5. K(x,L(y,z,u * (K(w,v5) / v6))) = K(x,L(y,z,(v6 * K(v5,w)) \ u)). K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (K(v5,w) / u))). ((K(x,L(y,z,u \ (K(x,y) / z))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). (K(x,L(y,z,u \ (K(y,x) / z))) * u) * K(w,v5) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). K(x,y) = K(x,L(y,z \ u,u \ z)). K(x,L(y,z \ u,u \ z)) = K(x,y). K(x \ (y * z),L(u,x,y \ 1)) != w | K((y \ x) \ z,u) = w. K(((x \ y) \ z) \ u,w) = K(z \ ((x \ y) * u),L(w,z,y \ x)). K(x \ ((y \ z) * u),L(w,x,z \ y)) = K(((y \ z) \ x) \ u,w). K(x,L((y \ z) \ u,T(z,y \ 1),(z \ (y \ z)) \ 1)) != w | K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)) = w. K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)) = K(x,L((z \ y) \ u,T(y,z \ 1),(z \ y) \ y)). K(x,L((y \ z) \ u,T(z,y \ 1),(y \ z) \ z)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,(w * u) \ w)). K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). K(x \ ((y \ z) * y),u) != w | K(x \ T(z,y),u) = w. K(x \ T(y,z),L(u,x,y \ z)) = K(((z \ y) \ x) \ z,u). K(((x \ y) * z) \ y,u) = K(((y \ x) \ z) \ y,u). K(((x \ y) \ z) \ x,u) = K(((y \ x) * z) \ x,u). K(x \ K(((y \ z) * u) \ z,w),((z \ y) \ u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). (x * K(((y \ z) * u) \ z,w)) \ x = K(w,((z \ y) \ u) \ z). K(x,((y \ z) * u) \ z) = K(x,((z \ y) \ u) \ z). K(x,((y \ z) \ u) \ y) = K(x,((z \ y) * u) \ y). K(x \ K(((y \ z) * u) \ z,w),((z \ y) \ u) \ z) != v5 | K(x,(((z \ y) \ u) \ z) \ 1) = v5. K(x,(((y \ z) \ u) \ y) \ 1) = K(x \ K(((z \ y) * u) \ y,w),((z \ y) * u) \ y). K(x \ K(((y \ z) * u) \ z,w),((y \ z) * u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). K(x,(((y \ z) * u) \ z) \ 1) = K(x,(((z \ y) \ u) \ z) \ 1). K(x,(((y \ z) \ u) \ y) \ 1) = K(x,(((z \ y) * u) \ y) \ 1). K(x,y \ ((z \ y) * u)) = K(x,(((y \ z) \ u) \ y) \ 1). K(x,(((y \ z) \ u) \ y) \ 1) = K(x,y \ ((z \ y) * u)). K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). K(x,a(y,z,z \ 1) \ ((a(y,z,z \ 1) \ R(y,z,z \ 1)) \ u)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). K(x,a(y,z,z \ 1) \ (y \ u)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,a(y,z,z \ 1) \ (y \ u)). K(x,L(y,((z * u) \ 1) \ a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) != v5 | K(x,L(y,w,u \ (z \ 1))) = v5. K(x,L(y,a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),z \ (y \ 1))) != w | K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = w. K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,((y \ 1) \ z) \ u). x != K(y,((z \ 1) \ u) \ w) | K(y,((u \ 1) / z) * w) = x. K(x,((y \ 1) / z) * u) = K(x,a(z,z \ 1,(z \ 1) \ y) \ (((z * y) \ 1) * u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,((z \ 1) / y) * u). K(x,y) * (z * K(u,w)) = z * (K(u,w) * K(x,T(y,z))). x * (K(y,z) * K(u,T(w,x))) = K(u,w) * (x * K(y,z)). K((x / y) * K(z,u),w) = K((K(z,u) * x) / y,w). K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),T(x,z)),v7) = K(v5 / v6,v7). K(x * (y \ K(z,u)),w) = K((K(z,u) * x) / y,w). K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). K(x * (y \ K(z,u)),w \ 1) = K(y * (x \ K(u,z)),w). K((K(x,y) * z) / u,T(w,z)) != v5 | K(((u \ 1) * u) / ((z \ K(y,x)) * u),w) = v5. K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K(y * (x \ K(u,z)),T(w,y)). K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y)) = K(x,L(y,z,(K(v5,v6) * u) * (w \ 1))). K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,(K(v5,v6) * u) * (w \ 1))). K(x,L(y,z,(K(u,w) * v5) * (v6 \ 1))) = K(x,L(y,z,v5 * (v6 \ K(u,w)))). K(x,L(y,z,u * (w \ 1))) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,v6 * (u \ K(w,v5)))). K((x \ y) * K(z,u),w) = K(((x \ 1) * K(z,T(u,v5))) * y,w). K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). K((x \ K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). K((x \ K(y,z)) * u,w) = K((x \ u) * K(y,z),w). K(x * (y \ K(z,u)),w) = K((y \ x) * K(z,u),T(w,x)). K((x \ y) * K(z,u),T(w,y)) = K(y * (x \ K(z,u)),w). x != K(y * K(z,u),w) | K(K(u,z) * y,w) = x. K(K(x,y) * (z \ u),w) = K((z \ K(y,x)) * u,w). K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w). K((x \ y) * K(z,u),T(w,y)) != v5 | K(y * (x \ K(z,u)),w) = v5. K(x * (y \ K(z,u)),w) = K(K(u,z) * (y \ x),T(w,x)). K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(y,x)),w). K((x \ K(K(y,z * u),w)) * K(((z \ 1) \ u) * y,w),v5) != v6 | K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = v6. K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(((z \ 1) \ u) * y,w)),v5). (x * K(K(y,z) * (u \ w),v5)) \ x = K(v5,(u \ K(z,y)) * w). (x * y) / (K(K(z,u) * (w \ v5),x) * y) = T(x,(w \ K(u,z)) * v5). ((x * y) / x) / ((x * (y * K(K(z,u) * (w \ v5),y))) / x) = K(y,T((w \ K(u,z)) * v5,x)). K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(y,x)),w) = v5. K((x * K(y,z)) * u,w) = K(K(z,y) * ((x \ 1) \ u),w). K(K(x,y) * ((z \ 1) \ u),w) = K((z * K(y,x)) * u,w). a(x,y,K(K(z,u) * (w \ v5),v6)) * K(x,v6) = K(x,L(v6,y,(w \ K(u,z)) * v5)). K(x,K(y,z) * (u \ w)) = K(x,(u \ K(z,y)) * w). K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). K(x,(y \ K(z,u)) * w) != v5 | K(w,K(y,x)) * K(x,w * (y \ K(z,u))) = v5. K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,K(w,u) * (y \ x)). K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,w * (u \ K(z,y))). K(x,K(y,z)) * K(x,y * (z \ K(u,w))) = K(x,K(w,u) * (z \ y)). K(x,y * K(z,K(u,w) * (v5 \ v6))) = K(x,y * K(z,v6 * (v5 \ K(w,u)))). K(x,K(y,z \ u)) * K(x,y * (((u \ z) \ 1) \ K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). x != K(y,K(z,u) * ((w \ 1) \ v5)) | K(y,K(z,u) * (w * v5)) = x. K(x,K(y,z) * ((u \ w) * v5)) = K(x,K(v5,w \ u)) * K(x,v5 * ((u \ w) * K(z,y))). K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * ((u \ z) * y)). K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) != v5 | K(x,(K(z,y \ 1) * w) / u) = v5. K(x,(K(y,z \ 1) * u) / w) = K(x,u * (w \ K(y,z))). K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(u,w))). K(x,y) * a(x,z,K(u \ w,y \ 1)) = K(x,L(y,z,(((K(v5,v6) * u) \ w) * K(v5,v6)) \ 1)). K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v5 \ v6,y \ 1)). K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v6 \ v5,y)). x != K(y,z) * a(y,u,K(w,z)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u \ w)) = K(x,L(y,z,(((K(v5,v6) * w) \ u) * K(v5,v6)) \ 1)). K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,L(y,z,v6 \ v5)). K(x,L(y,z,K(u,w) / ((K(w,u) * v5) \ v6))) = K(x,L(y,z,v6 \ v5)). K(x,L(y,z,((K(u,w) * v5) \ v6) \ K(w,u))) = K(x,L(y,z,v6 \ v5)). K((x \ y) * K(z,(u / w) * v5),T(v6,y)) != v7 | K(y * (x \ K(z,T(w \ u,w) * v5)),v6) = v7. K(x / (y * (z * K(u,w))),v5) = K((x / (y * z)) * K(L(w,z,y),u),v5). K((x / (y * z)) * K(L(u,z,y),w),v5) = K(x / (y * (z * K(w,u))),v5). K((x / (y * z)) * K(u,w),v5) = K(x / (y * (z * K(w,u))),v5). K(x / (y * (z * K(u,w))),v5) = K((x / (y * z)) * K(w,u),v5). K(x * ((y * z) \ K(u,w)),v5) = K(x / (y * (z * K(w,u))),v5). K(x / (y * (z * K(u,w))),v5) = K(x * ((y * z) \ K(w,u)),v5). K(x,L(y,x \ z,u * K(w,v5))) = K((z * (u * K(w,v5))) * (((x \ z) * u) \ K(v5,w)),y). K((x * (y * K(z,u))) * (((w \ x) * y) \ K(u,z)),v5) = K(w,L(v5,w \ x,y * K(z,u))). K(x / (y * (x * K(z,u))),w) != v5 | K(((x * K(z,u)) * y) \ x,T(w,y)) = v5. K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x * ((u * x) \ K(z,y)),w). K(((x * K(y,z)) * u) \ w,v5) != v6 | K(((x * u) \ w) * K(z,y),v5) = v6. K(((x * y) \ x) * K(z,u),T(w,y)) = K(x * ((y * x) \ K(z,u)),w). K(K(x,y) * ((z * u) \ z),w) = K(z * ((u * z) \ K(x,y)),w). K(K(x,y) * ((z * u) \ z),w) != v5 | K(u \ K(x,y),w) = v5. K(x,L(y,(z * K(u,T(w,v5))) * v6,K(w,T(u,v5)) / z)) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,T(u,v5)))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,v5)))) = v6. ((T(x,y) \ K(z,u)) * w) \ (K(y,x) * ((x \ K(z,u)) * (w * v5))) = L(L(v5,w,x \ K(z,u)),(x \ K(z,u)) * w,K(y,x)). 1 / a(x \ (y \ 1),x,y) = (x * y) * ((y \ 1) / x). K(x,T(y \ (z * K(u,w)),v5)) != v6 | K(x,T((z \ y) \ K(u,w),v5)) = v6. x != T(y,a(z,u,w)) | L(y,u,K(w,z)) = x. L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. L(x,y,K(z,u)) \ 1 = L(x \ 1,y,K(z,u)). T(x,a(y,z,u)) = T(x,a(y,u \ z,u)). T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). L(x,y,K(z,u)) = L(x,z \ y,K(z,u)). L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). L(x,y,K(z,u \ 1)) != w | L(x,y,K(u,z)) = w. L(x,y \ z,K(u,y)) = L(x,z,K(y,u \ 1)). L(x,y,K(z,u)) = L(x,z * y,K(z,u)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). L(x,y,T(z,u)) = L(L(x,y,z),y,K(z,u)). L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). L(x,K(y,z),K(u,w)) != v5 | x = v5. L(x,K(y,z),u) = L(x,K(y,z),T(u,w)). L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). L(L(x \ 1,y,z),x,K(u,w)) != v5 | L(x \ 1,y,z) = v5. L(x \ 1,x,y) = L(x \ 1,x,T(y,z)). L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). L(a(x,K(y,z),u),x,K(u * K(y,z),w)) = L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)). L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = L(a(x,K(y,z),u),x,K(u * K(y,z),w)). L(x,K(y,z),u) != w | R(x,K(y,z),u) = w. R(x,K(y,z),T(u,w)) = L(x,K(y,z),u). L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). K(x * (y * z),x) = K(y * ((z \ 1) \ x),x). K(x * ((y \ 1) \ z),z) = K(z * (x * y),z). x \ 1 != L(y \ 1,z \ 1,u) | R(y,z,u \ 1) = x. R(x,y,K(z,u) \ 1) = L(x,y \ 1,K(z,u)). (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y,z,K(u,w)) \ 1,L(y,z,K(u,w))). x != L(y,z,K(u,w \ 1)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,u \ y,K(z,u)). L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). L(x,T(y \ 1,z),K(u,(y \ 1) \ (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y * ((u \ 1) * z),y)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). R(x,y,K(z,u)) = L(x,y \ 1,K(u,z)). L(x,y \ 1,K(z,u)) = R(x,y,K(u,z)). x != R(y,z,K(u,w)) | L(y,z,K(u,w)) = x. L(x,y,K(z,u)) = L(x,y \ 1,K(u,z)). L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). x != L(a(y,K(z,u),w),v5,K(v6,v7)) | a(y,K(z,u),w) = x. a(x,K(y,z),u) = L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)). L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),u). ((T(x,y) \ K(z,u)) * w) \ ((T(x,y) \ K(z,u)) * (w * v5)) = L(L(v5,w,x \ K(z,u)),(x \ K(z,u)) * w,K(y,x)). L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) = ((T(z,v5) \ K(u,w)) * y) \ ((T(z,v5) \ K(u,w)) * (y * x)). L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) != v6 | L(x,y,T(z,v5) \ K(u,w)) = v6. L(x,T(y \ 1,z),K(u,y * (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). L(x,T(y \ 1,z),K(u,z)) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,T(y \ 1,z),K(u,z)). T(x,y * ((z * u) * K(w,v5))) = T(x,y * (z * (u * K(w,v5)))). T(x,K(y,z) * (u * K(y,z))) != w | T(x,u) = w. T(x,y * z) = T(x,K(u,w) * (y * (z * K(u,w)))). T(x,K(y,z) * (u * (w * K(y,z)))) = T(x,u * w). K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). K((x * y) \ z,u) = K((x * T(y,K(w,v5))) \ z,u). K((x * T(y,K(z,u))) \ w,v5) = K((x * y) \ w,v5). K(x * ((y * (z * u)) * K(w \ u,w)),v5) = K(x * (y * (z * ((w \ u) * w))),v5). K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. T(x,(y \ z) * K(u,w)) = T(x,y \ (K(u,w) * z)). T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). K(x,T(y,((K(z,u) / w) \ v5) * K(z,u))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). (K(x,y) / z) * K(u,w) = K(x,y) * (z \ K(u,w)). ((x / y) * (y * K(z,u))) \ K(w,v5) = K(L(u,y,y \ x),z) * (x \ K(w,v5)). K(L(x,y,y \ z),u) * (z \ K(w,v5)) = ((z / y) * (y * K(u,x))) \ K(w,v5). K(x,L(y,z,z \ u)) * (u \ K(w,v5)) = ((u / z) * (z * K(y,x))) \ K(w,v5). ((K(x,y) / z) / u) * (u * K(w,v5)) = K(x,y) * (z \ K(w,L(v5,u,u \ (K(x,y) / z)))). K(x,y) * (z \ K(u,L(w,v5,v5 \ (K(x,y) / z)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). K(x * (K(y,z) * (u \ K(w,v5))),v6) = K(x * ((u \ K(y,z)) * K(w,v5)),v6). K(x * ((y \ K(z,u)) * K(w,v5)),v6) = K(x * (K(z,u) * (y \ K(w,v5))),v6). R(x,K(y,K(z,u)),w) = x. L(x,K(y,K(z,u)),w) = x. (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,w,x * K(y,K(z,u))). (x \ K(y,K(z,u))) * w = (x \ 1) * (K(y,K(z,u)) * w). (x \ 1) * (K(y,K(z,u)) * w) = (x \ K(y,K(z,u))) * w. (x * (y * K(z,K(u,w)))) * v5 = (x * y) * (K(z,K(u,w)) * v5). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,w,x * K(y,K(z,u))). L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,y,v5 * K(z,K(u,w))). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). K(((x \ T(y,x)) * z) \ u,w) = K(((T(x,y) \ y) * z) \ u,w). K(((T(x,y) \ y) * z) \ u,w) = K(((x \ T(y,x)) * z) \ u,w). K((T(x,y / z) * (z \ T(y,z))) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). x != K(y,z) | K(a(u,w,u) * y,z) = x. K(a(x,y,x) * ((z * (u * K(w,v5))) * v6),v7) = K((z * (K(w,v5) * u)) * v6,v7). (x * K((y * (K(z,u) * w)) * v5,v6)) \ x = K(v6,(y * (w * K(z,u))) * v5). K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * (u * K(y,z))) * w,v5) = v6. x != K(y / (z * K(u,w)),v5) | K(y * (z \ K(w,u)),v5) = x. K(x * (y \ K(z,u)),w) = K((x * K(z,u)) / y,w). K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). K((x * T(y,z)) / u,w) = K((x * y) * (u \ K(y,z)),w). K((x * y) * (z \ K(y,u)),w) = K((x * T(y,u)) / z,w). K(x * (y \ K(z,u)),w) = K(x * (y \ K(u * z,u)),w). K(x * (y \ K(z * u,z)),w) = K(x * (y \ K(u,z)),w). K(x * ((x * y) \ K(z,u)),w) != v5 | K(y \ K(u,z),T(w,x)) = v5. K((((x * y) / x) \ z) * u,w) = K(T(u,((x * y) / x) \ z) * (K(y,x) * (y \ z)),w). K(T(x,((y * z) / y) \ u) * (K(z,y) * (z \ u)),w) = K((((y * z) / y) \ u) * x,w). K(T(x,T(y,z) \ u) * (K(y,z) * (y \ u)),w) = K((((z * y) / z) \ u) * x,w). K(x * (K(y,z) * (y \ u)),w) != v5 | K(x * (T(y,z) \ u),w) = v5. K(T(x,T(y,z) \ u) * (T(y,z) \ u),w) = K((((z * y) / z) \ u) * x,w). K((T(x,y) \ z) * u,w) = K((((y * x) / y) \ z) * u,w). K((((x * y) / x) \ z) * u,w) = K((T(y,x) \ z) * u,w). K((x \ y) * z,u) = K((T(x,y) \ T(y,x)) * z,u). K((T(x,y) \ T(y,x)) * z,u) = K((x \ y) * z,u). K(((T(x * y,K(y,z)) / y) \ u) * w,v5) = K((T(T(x,T(y,z)),y) \ u) * w,v5). K(x * (y * (z * (u * a(w,v5,K(v6,v7))))),v8) != v9 | K(x * (y * (z * u)),v8) = v9. K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,T(u / (y / z),K(z,y)) * w). K(x,((y / z) \ (u * K(z \ y,u))) * w) != v5 | K(x,(u / (y / z)) * w) = v5. K(x,L((y \ z) \ u,T(z,y \ 1),y)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). K(x,L(y,z,u \ (w \ 1))) * v5 = K(x,L(y,z,w \ (u \ 1))) * v5. x != K(y,L(z,u,u \ (w \ 1))) * w | (K(y,z) / u) * ((u \ 1) \ w) = x. (K(x,y) / z) * ((z \ 1) \ u) = K(x,L(y,z,u \ (z \ 1))) * u. K(x,L(y,z,u \ (z \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). (x \ 1) * (K(y,L(z,u,x \ (u \ 1))) \ 1) = ((K(y,z) / u) * ((u \ 1) \ x)) \ 1. K(x,L(y,z * K(x,y),u \ ((z * K(x,y)) \ 1))) * u = R(z \ 1,z,K(x,y)) * (((z * K(x,y)) \ 1) \ u). R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ ((x * K(y,z)) \ 1))) * u. R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ (K(z,y) / x))) * u. R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. L(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. (x \ 1) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * (((z * K(x,y)) \ 1) \ u). K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * ((K(y,x) / z) \ u). ((x \ 1) * ((K(y,z) / x) \ u)) * K(w,v5) = ((K(z,y) / x) * ((x \ 1) \ u)) * K(w,v5). ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). (K(x,y) / z) * ((z \ 1) \ u) = (z \ 1) * ((K(y,x) / z) \ u). ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) != v6 | K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = v6. K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). ((K(x,y) / (z \ 1)) * (T(z,z \ 1) \ u)) * K(w,v5) = (((z \ 1) \ 1) * ((K(y,x) / (z \ 1)) \ u)) * K(w,v5). (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) / (x \ 1)) * (T(x,x \ 1) \ u)) * K(w,v5). (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (T(x,x \ 1) \ u)) * K(w,v5). (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). (x * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). (x * ((K(y,z) * x) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). ((K(x,y) * z) * (z \ u)) * K(w,v5) = (z * ((K(y,x) * z) \ u)) * K(w,v5). (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). K(x,L(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u). (K(x,y) * z) * (z \ u) != w | (u / z) * (z * K(x,T(y,u))) = w. (x / y) * (y * K(z,T(u,x))) = y * ((K(u,z) * y) \ x). K(x,L(T(y,z),z,z \ u)) * u != w | ((u / (z \ u)) * K(x,y)) * (z \ u) = w. ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((K(T(u,y),z) * y) \ x). ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((y * K(u,z)) \ x). (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). (x * K(y,z)) * (x \ (x * (K(z,y) * u))) = x * L(u,K(z,y),x). (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). x \ ((x * K(y,z)) * (K(z,y) * u)) != w | w = L(u,K(z,y),x). x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x) = w. (K(x,y) / z) * ((z \ 1) \ (u * K(w,v5))) != v6 | K(x,L(y,z,z \ (K(v5,w) / u))) * (u * K(w,v5)) = v6. K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (z \ 1) * ((K(y,x) / z) \ (v5 * K(w,u))). (x / y) * (y * K(z,u)) = y * ((K(u,T(z,x)) * y) \ x). x * ((K(y,T(z,u)) * x) \ u) = (u / x) * (x * K(z,y)). (x \ 1) * K(y,L(z,u,x \ (u \ 1))) = ((K(z,y) / u) * ((u \ 1) \ x)) \ 1. x \ K(y,L(z,u,x \ (u \ 1))) = ((K(z,y) / u) * ((u \ 1) \ x)) \ 1. ((K(x,y) / z) * ((z \ 1) \ u)) \ 1 = u \ K(y,L(x,z,u \ (z \ 1))). ((K(x,y) / z) * u) \ 1 != w | (u \ 1) * (z * K(y,x)) = w. (((x \ 1) \ y) \ 1) * (x * K(z,u)) = y \ K(z,L(u,x,y \ (x \ 1))). x \ K(y,L(z,u,x \ (u \ 1))) = (((u \ 1) \ x) \ 1) * (u * K(y,z)). x \ K(y,L(z,u,x \ (u \ 1))) = ((x \ 1) / u) * (u * K(y,z)). K(x,y) * (((y \ 1) / z) * (z * K(u,w))) = T(y,x) \ K(u,L(w,z,y \ (z \ 1))). (T(x,y) \ K(z,L(u,w,x \ (w \ 1)))) \ K(y,x) = (((x \ 1) / w) * (w * K(z,u))) \ 1. T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = T(x,y) \ K(z,L(u,w,x \ (w \ 1))). x != y * K(z,L(u,w,(w * K(u,z)) \ y)) | (y / (w * K(u,z))) * w = x. (x / (y * K(z,u))) * y = K(u,L(z,y,(y * K(z,u)) \ x)) * T(x,K(u,z)). K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(x,y)) = (u / (z * K(y,x))) * z. K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(y,x)) = (u / (z * K(y,x))) * z. K(x,y) * T(z,K(u,w)) != v5 | T(K(x,y) * z,K(u,w)) = v5. T(K(x,L(y,z,(z * K(y,x)) \ u)) * u,K(y,x)) = (u / (z * K(y,x))) * z. T((x / (y * K(z,u))) * y,K(z,u)) = K(u,L(z,y,(y * K(z,u)) \ x)) * x. K(x,L(y,z,(z * K(y,x)) \ u)) * u = T((u / (z * K(y,x))) * z,K(y,x)). T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,u \ (w * K(y,z))) = v5. a(x,y,K(z,u)) * K(w,T(v5,v6)) = T(K(w,v5) * a(x,y,K(z,u)),v6). K(x,L(y,z,u \ 1)) != w | a(x,z,K(y,u)) * K(x,y) = w. (K(x,K(y,z)) * (u * w)) \ (K(x,K(y,z)) * (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z). L(x,y,z) = L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z). L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). L(x,y,K(z,u) * w) != v5 | L(x,y,w * K(z,u)) = v5. L(x,y,z * K(u,K(w,v5))) = L(x,y,z). L(x,y,T(z,K(u,w)) * v5) = L(x,y,z * v5). L(x,y,z \ K(u,T(w,v5))) = L(x,y,z \ K(u,w)). K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ T(u,K(v5,v6)))). K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,w * (u \ 1))). x != K(y,L(z,u,w * (v5 \ 1))) | K(y,L(z,u,v5 \ w)) = x. K(x,L(y,z,u \ w)) = K(x,L(y,z,u \ T(w,K(v5,v6)))). K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,u \ w)). K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (K(v5,v6) / w))). K(x,L(y,z,u \ (K(w,v5) / v6))) = K(x,L(y,z,u \ (v6 \ K(w,v5)))). K(x,L(y,z,u * (K(w,v5) / v6))) = K(x,L(y,z,(u \ 1) \ (v6 \ K(w,v5)))). K(x,L(y,z,(u \ 1) \ (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ K(x,y))))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). K(x,L(y,z,z \ (u \ K(w,v5)))) * (u * K(v5,w)) = (z \ 1) * ((K(y,x) / z) \ (u * K(v5,w))). K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). K(x,L(y,z,u * (K(w,v5) / v6))) = K(x,L(y,z,u * (v6 \ K(w,v5)))). K(x,L(y,z,u * (K(w,v5) / v6))) != v7 | K(x,L(y,z,(v6 * K(v5,w)) \ u)) = v7. K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (u \ K(v5,w)))). K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,u))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). L(x,y,z * K(u,K(w,v5))) != v6 | L(x,K(u,K(w,v5)) * y,z) = v6. L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). L(x,y * K(z,u),w) = L(x,K(z,u) * y,w). L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). L(x,y * T(z,K(u,w)),v5) = L(x,y * z,v5). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). L(x,y * K(z,T(u,w)),v5) = L(x,y * K(z,u),v5). L(x,(y * K(z,T(u,w))) * v5,v6) = L(x,(y * K(z,u)) * v5,v6). K(x,L(y,(z * K(u,w)) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). K(x,L(y,(z * K(u,w)) * v5,z \ K(w,u))) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). K(x,L(y,z,L(u,w,v5) \ 1)) != v6 | K(x,L(y,z,L(u \ 1,w,v5))) = v6. K(x,L(y,(z * K(u,w)) * v5,L(z \ 1,K(u,w),v5))) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). K(x,L(y,(z * K(u,w)) \ 1,v5)) = K(x,L(y,z * K(u,T(w,v6)),v5 \ 1)). K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,(z * K(u,w)) \ 1,v6)). K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,K(w,u) / z,v6)). L(x,y * T(z,T(u,w)),v5) = L(x,y * T(z,u),v5). L(x,y * (z \ K(u,w)),v5) = L(x,y * (K(u,w) / z),v5). L(x,y * (K(z,u) / w),v5) = L(x,y * (w \ K(z,u)),v5). K(x,L(y,(z \ 1) * (u \ K(w,v5)),z)) = K(x,L(y,K(w,v5) / u,(z \ 1) \ 1)). K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,(v5 \ 1) * (w \ K(z,u)),v5)). x != K(y,L(z,(u \ 1) * w,u)) | K(y,L(z,w,u)) = x. K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,K(u,w) / z,(v5 \ 1) \ 1)). K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,w \ K(z,u),v5)). K(x,L(y,K(z,u) / w,v5)) = K(x,L(y,w \ K(z,u),v5)). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. K((x \ y) * K(z,u),T(w,x)) = K((y / x) * K(z,u),w). K(x * (y \ K(z,u)),w) = K((y \ x) * K(z,u),T(w,y)). K((x \ y) * K(z,u),T(w,x)) = K(y * (x \ K(z,u)),w). K(K(x,y) * (z \ u),T(w,z)) = K(u * (z \ K(y,x)),w). K(K(x,(y * z) \ u) * w,v5) = K(w * K(z \ (y \ u),x),v5). K(x,K(y * (z * (u \ 1)),w)) = K(x,K(z * (u \ y),w)). K(x,K(L(y,z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. K(K(x,(y * T(z,u)) * w) * v5,v6) = K(K((y * z) * w,x) * v5,v6). K(K((x * y) * z,u) * w,v5) != v6 | K(w * K((x * T(y,v7)) * z,u),v5) = v6. K(x,T((K(y,z) * u) \ w,v5) \ v6) = K(x,T(u \ (K(z,y) * w),v5) \ v6). K(x,K(y \ z,u) * w) = K(x,w * K(u,z * (y \ K(v5,v6)))). K(x,y * K(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * y). K(x,(y \ z) * K(z,u)) != w | K(x,y \ T(z,u)) = w. K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * (y \ z)). x != K(y,K(z,u) * (w \ u)) | K(y,w \ T(u,z)) = x. K(x,y \ T(z,u \ w)) = K(x,y \ T(z,w * (u \ K(v5,v6)))). K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,y \ T(z,w \ u)). K(x,(y / (K(z,u) * w)) \ T(v5,w \ y)) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. L(x,x \ y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). T(x,y * (K(z,u) * w)) = T(T(x,K(y,w)),K(z,u) * (w * y)). T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(u,w) * z)). T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * ((y \ 1) * w)). T(x,K(y,z) * ((u \ 1) * w)) = T(x,(u * K(z,y)) \ w). T(x,(K(y,z) * u) * w) != v5 | T(x,(u * K(y,z)) * w) = v5. T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). T(x,y * z) = T(x,K(u,w) * ((K(w,u) * y) * z)). T(x,K(y,z) * ((K(z,y) * u) * w)) = T(x,u * w). K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,K(v5,w) * (u * z)) * v6). T(x,T(y,K(z,u) * (w * v5)) / ((w * K(z,u)) * v5)) = T(x,((w * K(z,u)) * v5) \ y). K(x,L(y,z,K(u,w) * (v5 \ v6))) = K(x,L(y,z,(v5 \ K(w,u)) * v6)). K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,K(v5,w) * (u \ v6))). K(x,L(y,z,(u \ K(u,w)) * v5)) != v6 | K(x,L(y,z,K(u,w) * (u \ v5))) = v6. K(x,L(y,z,K(u,w) * (u \ v5))) = K(x,L(y,z,K(w,u) * (u \ v5))). K(x,L(y,z,K(u,w) * (w \ v5))) = K(x,L(y,z,K(w,u) * (w \ v5))). K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,K(u,w) * (u \ v5))). K(x,L(y,z,K(u,w) * (u \ v5))) = K(x,L(y,z,T(u,w) \ v5)). K(x,L(y,z,(u \ w) * K(u,v5))) = K(x,L(y,z,T(u,v5) \ w)). ((x * y) * K(z,T(u,x))) * a(z,x,K(y,T(u,x))) = (x * K(z,T(u,y * x))) * y. ((x * y) * K(z,T(u,x))) * a(z,x,K(y,u)) = (x * K(z,T(u,y * x))) * y. (x * K(y,z)) * a(u,w,K(v5,v6)) != v7 | x * (a(u,w,K(v5,v6)) * K(y,z)) = v7. (x * y) * (a(z,x,K(y,u)) * K(z,T(u,x))) = (x * K(z,T(u,y * x))) * y. (x * y) * T(K(z,u) * a(z,x,K(y,u)),x) = (x * K(z,T(u,y * x))) * y. (x * y) * T(K(z,L(u,x,y)),x) = (x * K(z,T(u,y * x))) * y. (x * y) * K(z,L(T(u,x),x,y)) = (x * K(z,T(u,y * x))) * y. (x * y) * K(z,L(u,x,y)) != w | y * (T(x,y) * K(z,u)) = w. x * (T(y,x) * K(z,T(u,y))) = (y * K(z,T(u,x * y))) * x. (x * K(y,T(z,u * x))) * u = u * (T(x,u) * K(y,T(z,x))). (x * K(y,T(z,u * x))) * u = u * (K(y,z) * T(x,u)). (x * K(y,z)) * u = u * (K(y,T(z,u * x)) * T(x,u)). x * (K(y,T(z,x * u)) * T(u,x)) = (u * K(y,z)) * x. K(K(x,y) * (x \ K(z,u)),w * (K(x,y) * (x \ K(z,u)))) = K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (K(x,y) * (x \ K(z,u)))). L(x,y,K(K(z,u) * (z \ K(w,v5)),K(z,u) * ((z \ K(w,v5)) * v6))) = L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)). T(x,K(y,z) * (u \ w)) = T(x,(u \ K(z,y)) * w). T(x,(y \ K(z,u)) * w) = T(x,K(u,z) * (y \ w)). T(x,(y \ K(z,u)) * w) != v5 | T(x,(K(z,u) / y) * w) = v5. T(x,(K(y,z) / u) * w) = T(x,K(z,y) * (u \ w)). a(x \ (y \ 1),x,y) \ 1 = (x * y) * ((y \ 1) / x). (x * y) \ ((x \ 1) \ y) = a(x \ (y \ 1),x,y). a(x,x \ 1,(x \ 1) \ y) = a(x \ (y \ 1),x,y). a(x \ (y \ 1),x,y) = a(x,x \ 1,(x \ 1) \ y). a(x \ y,x,y \ 1) = a(x,x \ 1,(x \ 1) \ (y \ 1)). K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),x),v7) = K(v5 / v6,v7). K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(y,x),v7) = K(v5 / v6,v7). K((x / y) * K(z,u),w) != v5 | K(x * (y \ K(z,u)),w) = v5. K((K(x,L(T(y,z),u,w)) * v5) * (v6 \ K(y,x)),v7) = K(v5 / v6,v7). x != K(y * z,T(u,y)) | K(z * y,u) = x. K((x \ K(y,z)) * u,w) = K(((x \ 1) * x) / ((u \ K(z,y)) * x),w). K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((x \ K(u,z)) * y,w). K(1 / ((x \ K(y,z)) * u),w) = K((u \ K(z,y)) * x,w). K((x \ K(y,z)) * u,w \ 1) = K((u \ K(z,y)) * x,w). K((x \ K(y,z)) * u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. K(K(x,y) * (z \ u),w \ 1) = K((u \ K(x,y)) * z,w). K((x \ y) \ K(z,u),w) = K((y \ K(z,u)) * x,w). x != K((y \ K(z,u)) * w,v5) | K(K(u,z) * (y \ w),v5) = x. K(K(x,y) * (z \ u),w) = K((u \ z) \ K(y,x),w). K((x \ y) \ K(z,u),w) = K(K(u,z) * (y \ x),w). K(x,y) * a(x,z,K(K(u,w) * (v5 \ v6),y)) = K(x,L(y,z,(K(w,u) * (v6 \ v5)) \ 1)). K(x,L(y,z,K(u,w) * (v5 \ v6))) = K(x,L(y,z,(K(w,u) * (v6 \ v5)) \ 1)). K(x,L(y,z,(K(u,w) * (v5 \ v6)) \ 1)) = K(x,L(y,z,K(w,u) * (v6 \ v5))). K(x,L(y,z,(u \ w) \ K(v5,v6))) = K(x,L(y,z,K(v5,v6) * (w \ u))). K(x,L(y,z,((K(u,w) * v5) \ v6) \ K(w,u))) != v7 | K(x,L(y,z,v6 \ v5)) = v7. K(x,L(y,z,u \ w)) = K(x,L(y,z,K(v5,v6) * (u \ (K(v6,v5) * w)))). K(x,L(y,z,K(u,w) * (v5 \ (K(w,u) * v6)))) = K(x,L(y,z,v5 \ v6)). K((x \ y) * K(z,u),T(w,x)) = K((K(v5,v6) * y) / (K(v5,v6) * (K(u,z) * x)),w). K((K(x,y) * z) / (K(x,y) * (K(u,w) * v5)),v6) = K((v5 \ z) * K(w,u),T(v6,v5)). K((K(x,y) * z) / (K(x,y) * (K(u,L(w,v5,v6)) * v7)),v8) = K((v7 \ z) * K(w,L(u,v5,v6)),T(v8,v7)). K(x / (K(y,L(z,u,w)) * v5),v6) = K((v5 \ x) * K(z,L(y,u,w)),T(v6,v5)). K((x \ y) * K(z,L(u,w,v5)),T(v6,x)) = K(y / (K(u,L(z,w,v5)) * x),v6). K(K(x,y) * (z \ u),T(w,z)) = K(u / (K(y,L(x,v5,v6)) * z),w). K(x / (K(y,L(z,u,w)) * v5),v6) = K(K(z,y) * (v5 \ x),T(v6,v5)). x != K(K(y,z) * (u \ w),T(v5,u)) | K(w * (u \ K(z,y)),v5) = x. K(x * (y \ K(z,u)),w) = K(x / (K(z,L(u,v5,v6)) * y),w). K(x / (K(y,L(z,u,w)) * v5),v6) = K(x * (v5 \ K(y,z)),v6). K(x * (y \ K(L(z,u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). K(x * (y \ K(z,L(u,w,v5))),v6) = K(x * (y \ K(u,z)),v6). x != K(y * (z \ K(u * w,v5)),v6) | K(y * (z \ K(w * u,v5)),v6) = x. K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(w,L(u * z,v6,v7))),v5). K(x * (y \ K(z,L(u * w,v5,v6))),v7) = K(x * (y \ K(w * u,z)),v7). (x * K(y * (z \ K(u,w)),v5)) \ x = K(v5,y * (z \ K(w,L(u,v6,v7)))). K(x,y * (z \ K(u,L(w,v5,v6)))) = (v7 * K(y * (z \ K(w,u)),x)) \ v7. K(x * (y \ K(z \ L(u \ 1,u,w),L(v5,v6,v7))),v8) = K(x * (y \ K(v5,z \ ((w * u) \ w))),v8). (x * y) / (K(z * (u \ K(w,v5)),x) * y) = T(x,z * (u \ K(v5,L(w,v6,v7)))). T(x,y * (z \ K(u,L(w,v5,v6)))) = (x * v7) / (K(y * (z \ K(w,u)),x) * v7). K(x * (y * K(z,L(u,w,v5))),v6) = K(x * ((y \ 1) \ K(u,z)),v6). K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,(z / u) * w)),v6). K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,(z * u) * w)),v6). K(x * (y \ K(z * u,w)),v5) != v6 | K(x * (y \ K(u * z,w)),v5) = v6. K(x * (y \ K(((z \ 1) \ u) * w,v5)),v6) = K(x * (y \ K(v5,(w * z) * u)),v6). K(K(x,K(y,z * u)) * (w \ K(((z \ 1) \ u) * y,x)),v5) != v6 | K(w \ K(y * ((z \ 1) \ u),x),L(v5,K(y * ((z \ 1) \ u),x),K(x,K(y,z * u)))) = v6. K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(w,(y * z) * u)),v5). x != K(K(y,K(z,u)) * w,v5) | K(w,v5) = x. K(x \ K(y,(z * u) * w),v5) = K(x \ K(z * ((u \ 1) \ w),y),L(v5,K(z * ((u \ 1) \ w),y),K(y,K(z,u * w)))). K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(x \ K(w,(y * z) * u),v5). K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,(y * z) * u),v5). K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(w,u))) = v7. K(x,y * (z \ K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. K(x * (y * K(z,L(u,w,v5))),v6) = K(x * (y * K(u,z)),v6). K(x * (y \ K(z,L(u,w,v5))),v6) != v7 | K(x * (y \ K(u,z)),v6) = v7. K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u \ ((v5 * w) \ v5))),v6). K(x * (y \ K(z,u * w)),v5) = K(x * (y \ K(w * u,z)),v5). K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(w,u * z)),v5). K((x * (y * K(z,u))) \ w,v5) != v6 | K(((x * y) \ w) * K(u,z),v5) = v6. K(((T(x,T(y,z)) * y) \ u) * K(y,z),w) = K(((y * K(z,y)) * x) \ u,w). K(((T(x,T(y,z)) * y) \ u) * w,v5) != v6 | K(((T(x,y) * y) \ u) * w,v5) = v6. K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * K(u,y)) * x) \ z,w). x != K(((y * K(z,u)) * w) \ v5,v6) | K(((y * w) \ v5) * K(u,z),v6) = x. K(((x * y) \ z) * K(x,u),w) = K(((T(y,x) * x) \ z) * K(x,u),w). K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * x) \ z) * K(y,u),w). K(((T(x,y) * y) \ z) * u,w) != v5 | K(((T(x,T(y,v6)) * y) \ z) * u,w) = v5. K(((T(x,T(y,z)) * y) \ u) * K(y,w),v5) = K(((y * x) \ u) * K(y,w),v5). K(((x * y) \ z) * K(y,u),w) != v5 | K((x * T(y,u)) \ z,w) = v5. K((T(x,T(y,z)) * T(y,u)) \ w,v5) = K(((y * x) \ w) * K(y,u),v5). K((T(x,y) * z) \ u,w) = K(((x * z) \ u) * K(x,y),w). K(((x * y) \ z) * K(x,u),w) = K((T(x,u) * y) \ z,w). K((((x * y) * z) \ u) * K(y,x),w) = K((T(x * y,x) * z) \ u,w). K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). K(((x * y) \ z) * K(x,u),w) != v5 | K((((u * x) / u) * y) \ z,w) = v5. K((((x * y) / x) * z) \ u,w) = K((T(y,x) * z) \ u,w). K((((x * y) * z) \ u) * K(w,x),v5) != v6 | K(((T(x,w) * y) * z) \ u,v5) = v6. K(((T(x,y) * y) * z) \ u,w) = K((T(x * y,x) * z) \ u,w). K((T(x * y,x) * z) \ u,w) = K(((T(x,y) * y) * z) \ u,w). x != K(((T(y,z) * z) * u) \ w,v5) | K(((z * y) * u) \ w,v5) = x. K(((x * y) * z) \ u,w) = K((T(y * x,y) * z) \ u,w). K((T(x * y,x) * z) \ u,w) = K(((y * x) * z) \ u,w). K((T(x,y) * z) \ u,L(w,u,x \ 1)) != v5 | K(z \ (T(x,y) \ u),w) = v5. K(x \ (T(y * z,y) \ u),w) = K(((z * y) * x) \ u,L(w,u,(y * z) \ 1)). K(((x * y) * z) \ u,L(w,u,(y * x) \ 1)) = K(z \ (T(y * x,y) \ u),w). K(x \ K(((y * z) * u) \ w,v5),(T(z * y,z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). K(x,(T(y * z,y) * u) \ w) != v5 | K(x,((z * y) * u) \ w) = v5. K(x \ K(((y * z) * u) \ w,v5),((y * z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). K(x,(((y * z) * u) \ w) \ 1) = K(x,((T(z * y,z) * u) \ w) \ 1). K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,(((z * y) * u) \ w) \ 1). K(x,y \ ((z * u) * w)) = K(x,((T(u * z,u) * w) \ y) \ 1). K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,w \ ((z * y) * u)). K(x,y \ (T(z * u,z) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ (T(z,u) * w)) = K(x,y \ (((u \ z) * u) * w)). K(x,y \ (((z \ u) * z) * w)) = K(x,y \ (T(u,z) * w)). K(x \ (((y * z) / y) * u),w) = K((T(z,y) * u) \ x,w \ 1). K((T(x,y) * z) \ u,w \ 1) = K(u \ (((y * x) / y) * z),w). K(x,(((y * z) / y) * u) \ w) * a(v5,v6,K((T(z,y) * u) \ w,x)) = K(x,L((((y * z) / y) * u) \ w,v6,v5)). K(x,(T(y,z) * u) \ w) * a(v5,v6,K((T(y,z) * u) \ w,x)) = K(x,L((((z * y) / z) * u) \ w,v6,v5)). K(x,L((T(y,z) * u) \ w,v5,v6)) = K(x,L((((z * y) / z) * u) \ w,v5,v6)). K(x,L((((y * z) / y) * u) \ w,v5,v6)) = K(x,L((T(z,y) * u) \ w,v5,v6)). K(x,L((((y * z) / y) * u) \ w,u,z \ 1)) != v5 | K(x,u \ (((y * z) / y) \ w)) = v5. K(x,y \ (((z * u) / z) \ w)) = K(x,L((T(u,z) * y) \ w,y,u \ 1)). K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (((z * y) / z) \ w)). K(x,L((T(y,z) * u) \ w,u,y \ 1)) != v5 | K(x,u \ (T(y,z) \ w)) = v5. K(x,y \ (T(z,u) \ w)) = K(x,y \ (((u * z) / u) \ w)). K(x,y \ (((z * u) / z) \ w)) = K(x,y \ (T(u,z) \ w)). K(x,y \ (((z * u) / z) \ w)) != v5 | K(x,(y \ (u \ w)) * K(u,z)) = v5. K(x,(y \ (z \ u)) * K(z,w)) = K(x,y \ (T(z,w) \ u)). K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). K(x,K(y,z) * (u \ (y \ w))) != v5 | K(x,L(u,y,y \ 1) \ (((z \ (y \ 1)) * z) * w)) = v5. K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (T(z,u) \ w)). K(x,K(y,z) * (u \ (y \ z))) != w | K(x,u \ T(y \ z,y)) = w. K(x,y \ T(z \ u,z)) = K(x,y \ (T(z,u) \ u)). K(x,y \ (((z \ u) * z) * w)) != v5 | K(x,y \ (T(u,z) * w)) = v5. K(x,L(y,z,z \ 1) \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ (T(y * x,y) \ u),w). K(x,y \ T(z \ u,z)) != w | K(x,y \ (u / z)) = w. K(x,y \ (z / u)) = K(x,y \ (T(u,z) \ z)). K(x,y \ (T(z,u) \ u)) = K(x,y \ (u / z)). K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (T(u,u \ w) / z)). x != K(y * (z \ K(u,w)),v5) | K((y * K(u,w)) / z,v5) = x. K((x * K(y,z)) / u,w) = K((u \ x) * K(y,z),T(w,x)). K((x \ y) * K(z,u),T(w,y)) = K((y * K(z,u)) / x,w). K(K(x,y) * (z \ u),T(w,u)) = K((u * K(y,K(v5,v6) * x)) / z,w). K((x * K(y,K(z,u) * w)) / v5,v6) = K(K(w,y) * (v5 \ x),T(v6,x)). x != K(K(y,z) * (u \ w),T(v5,w)) | K(w * (u \ K(z,y)),v5) = x. K(x * (y \ K(z,u)),w) = K((x * K(z,K(v5,v6) * u)) / y,w). K((x * K(y,K(z,u) * w)) / v5,v6) = K(x * (v5 \ K(y,w)),v6). K((x * K(y,z)) / u,w) != v5 | K(x * (u \ K(y,z)),w) = v5. K(x * (y \ K(z,K(u,w) * v5)),v6) = K(x * (y \ K(z,v5)),v6). K(x * (y \ K(z,u * w)),v5) != v6 | K(x * (y \ K(w * u,z)),v5) = v6. K(x * (y \ K(z * K(u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). K(x * (y \ K(K(z,u) * w,v5)),v6) = K(x * (y \ K(v5,w)),v6). K(x,K(y,T(z,u)) * (w * u)) = K(x,w * (u * K(y,L(z,v5,v6)))). K(x,y * (z * K(u,L(w,v5,v6)))) != v7 | K(x,K(w,u) * (y * z)) = v7. K(x,y \ (z * (u \ y))) * K(x,K(w,u \ z)) = K(x,T(y \ (z * (u \ y)),w)). L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) != w | z \ ((K(x,y) * z) * u) = w. x \ ((K(y,z) * x) * u) = L(K(y,T(z,x)) * u,K(z,y),x). L(K(x,T(y,z)) * u,K(y,x),z) = z \ ((K(x,y) * z) * u). L(K(x,T(y,z)) * u,K(y,x),z) != w | (K(y,x) * z) \ (z * u) = w. (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). (K(x,y) * (z \ 1)) \ ((u * z) \ 1) = (z \ 1) \ ((K(y,x) * (z \ 1)) * (u \ 1)). (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) * (x \ 1)) \ ((u * x) \ 1). (K(x,y) * z) \ ((z * u) * R((z * u) \ (K(x,y) * z),w,w \ 1)) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). (x * K(y,z)) \ (x * u) = x \ ((K(T(z,x),y) * x) * u). x \ ((K(T(y,x),z) * x) * u) = (x * K(z,y)) \ (x * u). T(x,(y \ z) * K(u,w)) = T(x,(K(w,u) * y) \ z). T(x,(K(y,z) * u) \ w) = T(x,(u \ w) * K(z,y)). T(x,(K(y,z) * u) \ w) != v5 | T(x,T(w,u) * (u \ K(z,y))) = v5. T(x,T(y,z) * (z \ K(u,w))) = T(x,(z \ y) * K(u,w)). T(x,(K(y,z) * u) \ w) != v5 | T(x,((u \ 1) * K(z,y)) * w) = v5. T(x,((y \ 1) * K(z,u)) * w) = T(x,(y \ w) * K(z,u)). T(x,(y * K(z,u)) * w) != v5 | T(x,K(z,u) * (y * w)) = v5. T(x,K(y,z) * ((u \ 1) * w)) = T(x,(u \ w) * K(y,z)). T(x,y \ (z * K(u,w))) = T(x,(y \ z) * K(u,w)). T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,(u * K(z,y)) \ w) = v5. T(x,(y * K(z,u)) \ w) = T(x,(y \ w) * K(u,z)). a(x,y,K(z,u)) * (x \ w) = K(x,L(u,y,z)) * (T(x,u) \ w). K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). x != a(y,z,K(u,w)) * (y \ v5) | L(y,z,K(w,u)) \ v5 = x. L(x,y,K(z,u)) \ w = K(x,L(z,y,u)) * (T(x,z) \ w). K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,x \ z,K(y,u)) \ w. K(x,L(y,z,u)) * (T(x,y) \ w) != v5 | L(x,z,K(y,u)) \ w = v5. L(x,y,K(z,u)) \ w = L(x,x \ y,K(z,u)) \ w. L(x,x \ y,K(z,u)) \ w = L(x,y,K(z,u)) \ w. L(x,x \ y,K(z,u)) \ (K(z,u) * y) != w | (x \ y) * K(z,T(u,y)) = w. (x \ y) * K(z,T(u,y)) = L(x,y,K(z,u)) \ (K(z,u) * y). L(x,y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). K(x,K(y,K(z,u) * w) * (((v5 \ w) * K(z,T(u,w))) * v6)) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). K(x * (y \ 1),z) != u | K(x / y,z) = u. K((x * y) / z,L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). K((x * y) / z,L(u,z,y \ 1)) = K(x * ((z / y) \ 1),u). K(x / (y / z),u) = K((x * z) / y,L(u,y,z \ 1)). K((x * y) / z,L(u,z,y \ 1)) = K(x / (z / y),u). K((x * y) / z,L(u,((x * y) / z) * z,y \ 1)) = K(x / (z / y),u). K((x * y) / z,L(u,x * y,y \ 1)) = K(x / (z / y),u). K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). K(K(x,y) * (z \ (u * x)),w) = K(z \ (u * T(x,y)),w). K((x * y) \ (z * y),u) = K((y * x) \ (z * T(y,x)),u). K((x * y) \ (z * T(x,y)),u) = K((y * x) \ (z * x),u). K(K(K(x * ((y \ 1) \ z),u),w) * (v5 \ K(((y \ 1) \ z) * x,u)),v6) = K(v5 \ (K(u,K(x,y * z)) * T(K(x * ((y \ 1) \ z),u),w)),v6). K(K(x,K(y,z * ((u \ 1) \ w))) * (v5 \ K(((u \ 1) \ w) * z,x)),v6) = K(v5 \ (K(x,K(z,u * w)) * T(K(z * ((u \ 1) \ w),x),y)),v6). K(x \ y,z) = K(((x \ 1) * K(u,w)) * (K(w,u) * y),z). K(((x \ 1) * K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). K((x \ K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). K(K(x,y) * (z \ (K(x,y) * u)),w) = K(z \ u,w). K(x * (K(y,z) * u),w) = K((K(z,y) / x) \ u,w). K((K(x,y) / z) \ u,w) = K(z * (K(y,x) * u),w). K((x * K(y,z)) * u,w) = K(x * (K(y,z) * u),w). K((x * K(y,z)) * u,w) != v5 | K(K(z,y) * ((x \ 1) \ u),w) = v5. K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x) * u),w). K((x * K(y,z)) * u,w) != v5 | K(u * (x * K(y,z)),w) * K(u,K(x,w)) = v5. K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K(y * (K(z,u) * x),w). K((x * ((y * z) / y)) * u,w) = K((x * z) * (K(y,z) * u),w). K((x * T(y,z)) * u,w) = K((x * y) * (K(y,z) * u),w). K((x * y) * (K(y,z) * u),w) = K((x * T(y,z)) * u,w). K((x * ((y \ z) * y)) * u,w) = K((x * z) * (K(y \ z,y) * u),w). K((x * y) * (K(z \ y,z) * u),w) = K((x * ((z \ y) * z)) * u,w). x * K(y,K(z,u)) != K(z * (K(w,v5) * y),u) | K((K(w,v5) * y) * z,u) = x. K((K(x,y) * z) * u,w) = K(z * (u * K(x,y)),w). x != K(y * (z * K(u,T(w,v5))),v6) | K(y * (z * K(u,w)),v6) = x. K(x * (y * K(z,u)),w) = K((K(z,T(u,v5)) * x) * y,w). K((K(x,T(y,z)) * u) * w,v5) = K(u * (w * K(x,y)),v5). K((K(x * K(y,z),u) * w) * v5,v6) != v7 | K(K(x,L(u,w,v5)) * (w * v5),v6) = v7. K(K(x,L(y,z,u)) * (z * u),w) = K(z * (u * K(x * K(v5,v6),y)),w). K((K(x,L(T(y,z),u,w)) * v5) * (v6 \ K(y,x)),v7) != v8 | K(v5 / v6,v7) = v8. K(x / y,z) = K(x * ((y \ K(u,w)) * K(w,L(T(u,v5),v6,v7))),z). K(x * ((y \ K(z,u)) * K(u,L(T(z,w),v5,v6))),v7) = K(x / y,v7). K((K(x,y \ 1) * z) * u,w) != v5 | K((K(x,y) * z) * u,w) = v5. K((K(x,y) * z) * u,w) = K(z * (u * K(x,y \ 1)),w). K(x * (y * K(z,u \ 1)),w) = K((K(z,u) * x) * y,w). K((T(x,y) * z) * u,w) = K((x * z) * (u * K(x,y)),w). K((x * y) * (z * K(x,u)),w) = K((T(x,u) * y) * z,w). K((T(x,y) \ z) * u,w) = K((x \ z) * (u * K(y,x)),w). K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). K((x * T(x \ (y \ x),z)) * u,w) = K((y \ x) * (u * K(y,z \ 1)),w). K((x \ y) * (z * K(x,u \ 1)),w) = K((y * T(y \ (x \ y),u)) * z,w). T(x * K(y * (x * K(z,u)),w),K(z,u) * y) = (K(z,u) * y) \ T(x * (K(z,u) * y),w). K((K(x,T(y,z)) * u) * w,v5) != v6 | K(u * (w * K(x,y)),v5) = v6. K(x * ((y \ K(z,u)) * K(u,L(z,w,v5))),v6) = K(x / y,v6). K(x * (y * K(z,L(u,w,v5))),v6) != v7 | K(x * (y * K(u,z)),v6) = v7. K(x * ((y \ K(z,u)) * K(z,u)),w) = K(x / y,w). x != K((K(y,z) * u) * w,v5) | K(u * (w * K(y,z)),v5) = x. K(x * (y * K(z,u)),w) = K(x * (y * K(z,u \ 1)),w). K(x * (y * K(z,u \ 1)),w) = K(x * (y * K(z,u)),w). K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * ((y * z) * K(u,v5)),v6). K((x \ y) * (z * K(x,u \ 1)),w) != v5 | K((y * T(y \ (x \ y),u)) * z,w) = v5. K((x * T(x \ (y \ x),z)) * u,w) = K((y \ x) * (u * K(y,z)),w). K((x \ y) * (z * K(x,u)),w) = K((y * T(y \ (x \ y),u)) * z,w). x != K(y * ((z * u) * K(w,v5)),v6) | K(y * (z * (u * K(w,v5))),v6) = x. K(x * (y * (z * K(u,w))),v5) = K(x * (y * (z * K(u,(v6 * w) \ v6))),v5). K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * (y * (z * K(u,v5))),v6). K(x * (y * (z * K(u,w \ 1))),v5) = K(x * (y * (z * K(u,w))),v5). K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * (u * K(u * z,z))),w). K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y \ 1,x) * u),w). K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(x \ y,x) * u),w). K(K(x,y) * ((z \ 1) \ u),w) != v5 | K(z * (K(y,x) * u),w) = v5. K(x * (K(y,z) * u),w) = K(x * (K(z \ y,z) * u),w). K(x * (K(y \ z,y) * u),w) = K(x * (K(z,y) * u),w). K((x * y) * (K(z \ y,z) * u),w) != v5 | K((x * ((z \ y) * z)) * u,w) = v5. K((x * ((y \ z) * y)) * u,w) = K((x * z) * (K(z,y) * u),w). K(x * (K(y \ z,y) * (u * z)),w) != v5 | K(x * (u * ((y \ z) * y)),w) = v5. K(x * (y * ((z \ u) * z)),w) = K(x * (K(u,z) * (y * u)),w). K(x * (K(y,z) * (u * y)),w) = K(x * (u * ((z \ y) * z)),w). x != K((y * z) * (K(z,u) * w),v5) | K((y * T(z,u)) * w,v5) = x. K((x * T(y,z)) * u,w) = K((x * ((z \ y) * z)) * u,w). K((x * ((y \ z) * y)) * u,w) = K((x * T(z,y)) * u,w). K(x * (K(y,z) * (u * y)),w) != v5 | K(x * (u * T(y,z)),w) = v5. K(x * (y * T(z,u)),w) = K(x * (y * ((u \ z) * u)),w). K(x * (y * ((z \ u) * z)),w) = K(x * (y * T(u,z)),w). x != K(K(y,T(z,u)) * w,v5) | K(K(y,z) * w,v5) = x. K(K(x,y) * (z * K(u,w)),v5) = K((K(u,T(w,v6)) * K(x,T(y,v7))) * z,v5). K((K(x,T(y,z)) * K(u,T(w,v5))) * v6,v7) = K(K(u,w) * (v6 * K(x,y)),v7). K((x / T(y,z)) * u,w) = K((x / y) * (u * K(z,y)),w). K((x / y) * (z * K(u,y)),w) = K((x / T(y,u)) * z,w). K(x,(a(y,z,u) \ w) * a(u,z,K(v5,y))) = K(x,w / T(a(y,z,u),v5 \ 1)). K(x,a(y,z,u) \ w) = K(x,w / T(a(y,z,u),v5 \ 1)). K(x,y / T(a(z,u,w),v5 \ 1)) = K(x,a(z,u,w) \ y). K(x,y / T(a(z,u,w),v5)) = K(x,a(z,u,w) \ y). K(x,y / T(a(z \ 1,u,u \ 1),w)) != v5 | K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = v5. K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). K(x,y * T(L((z \ 1) \ 1,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). K(x,y * T(L(z,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,a(z \ 1,u,u \ 1) \ y). K(x,a(y \ 1,z,z \ 1) \ u) != w | K(x,u * T(y \ L(y,z \ 1,z),v5)) = w. K(x \ (y \ z),K(u,w)) = K(u,K(z \ (y * x),w)). K(x,K(y \ (z \ u),w * v5)) = K(x,K(u \ (z * y),v5 * w)). K(x,K(y,z) * (((y \ z) \ 1) * u)) != w | K(x,(z / y) \ u) = w. K(x,(y / z) \ u) = K(x,((z \ y) \ u) * K(y,z)). K(x,((y \ z) \ u) * K(z,y)) = K(x,(z / y) \ u). L(x,y,K(K(z,u) * w,w * v5)) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(K(z,u) * w,w * v5)). x != T(y,K(z,u) * (w \ 1)) | T(y,w \ K(z,u)) = x. T(x,y \ K(z,u)) = T(x,y \ K(z,L(u,w,v5))). T(x,y \ K(z,L(u,w,v5))) = T(x,y \ K(z,u)). T(x,y \ K(z,L(u,y,w \ 1))) != v5 | T(x,((w * y) * K(u,z)) \ w) = v5. T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,u)). T(x,(y * K(z,u)) \ w) != v5 | T(x,(y \ w) * K(u,z)) = v5. T(x,((y * z) \ y) * K(u,w)) = T(x,z \ K(u,w)). x \ ((x * K(y,z)) * u) = (x * K(z,y)) \ (x * u). (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). T(x,((y * K(z,u)) \ 1) * (y * w)) = T(x,y \ ((y * K(u,z)) * w)). T(x,(K(y,z) / u) * (u * w)) = T(x,u \ ((u * K(y,z)) * w)). T(x,y \ ((y * K(z,u)) * w)) = T(x,(K(z,u) / y) * (y * w)). x != T(y,(K(z,u) / w) * v5) | T(y,K(u,z) * (w \ v5)) = x. T(x,K(y,z) * (u \ (u * w))) = T(x,u \ ((u * K(z,y)) * w)). T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * (y \ (y * w))). T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * w). ((x * K(y,z)) * u) / T(x,K(z,y) * u) = x \ ((x * K(y,z)) * u). (K(x,y) * z) \ (z * (u * R(u \ (z \ (K(x,y) * z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). (K(x,y) * z) \ (z * (u * R(u \ T(K(x,y),z),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). (K(x,y) * z) \ (z * (u * R(u \ K(x,T(y,z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). x * y != (z * u) * K(w,L(v5,u,z)) | x \ (z * (u * K(w,v5))) = y. (x * y) \ (x * ((y * K(z,u)) * K(w,v5))) = K(z,L(u,y,x)) * K(w,L(v5,y * K(z,u),x)). K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * ((z * K(x,y)) * K(w,v5))). K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * (z * (K(w,v5) * K(x,y)))). L(K(x,y) * K(z,u),w,v5) = K(z,L(u,w,v5)) * K(x,L(y,w * K(z,u),v5)). K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = L(K(w,v5) * K(x,y),z,u). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). K(x,y * (z \ (u * (w / u)))) = K(x,K(u,w) * (y * (z \ w))). K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ (y * (z / y)))). K(x,y * ((z * (u \ w)) * K(v5,v5 \ w))) = K(x,y * (z * (u \ (v5 * (w / v5))))). K(x,K(y,z) * (u * (w * (v5 \ z)))) = K(x,u * (w * (v5 \ (y * (z / y))))). K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ (z * (u / z))))). K((T(x,K(y,z)) \ u) * w,v5) = K((T(T(x,T(y,z)),y) \ u) * w,v5). K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((T(x,K(y,z)) \ u) * w,v5). x != K((T(y,K(z,u)) \ w) * v5,v6) | K((y \ w) * v5,v6) = x. K((x \ y) * z,u) = K((T(T(x,T(w,v5)),w) \ y) * z,u). K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((x \ u) * w,v5). K((T(T(x,y),T(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). K(K(x * y,y \ 1) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). K(K(x * y,y) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). K(K(x,y) * (y * z),L(u,z,x \ 1)) = K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u). K(x * (K(y,x) * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u) = K(y * (K(x,y) * z),L(u,z,x \ 1)). x != K(y * (K(z,y) * u),w) | K(T(y,z) * u,w) = x. K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (y \ z),u). K((x * y) * ((x \ 1) * z),u) = K(((x \ 1) \ y) * (x \ z),u). K(((x \ 1) \ y) * (x \ z),u) = K((x * y) * ((x \ 1) * z),u). K(K(x,(y * z) * (x \ K(u,z))) * w,v5) = K(K(x,y * T(z,u)) * w,v5). x != K(y * K(T(z,u) \ w,v5),v6) | K(K(z \ w,v5) * y,v6) = x. K(K(x \ (y \ z),u) * w,v5) = K(K(u,(y * T(x,v6)) \ z) * w,v5). K(K(x,(y * T(z,u)) \ w) * v5,v6) = K(K(z \ (y \ w),x) * v5,v6). K(K(x \ (y * T(z,u)),w) * v5,v6) = K(K(z \ (y \ x),w) * v5,v6). K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(y \ ((u \ 1) \ x),w) * v5,v6). x != K(K(y \ ((z \ 1) \ u),w) * v5,v6) | K(K(((u \ 1) / z) * y,w) * v5,v6) = x. K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(x * ((T(z,v6) \ 1) * y),u) * w,v5). K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(((x \ 1) / u) * y,w) * v5,v6). K(K(x * ((y \ 1) * z),u) * w,v5) != v6 | K(K(u,(x / y) * z) * w,v5) = v6. K(K(x,(y / T(z,u)) * w) * v5,v6) = K(K(((y \ 1) / w) * z,x) * v5,v6). K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / T(z,v6)) * y) * w,v5). K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / z) * y) * w,v5). K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(y / z) * x) * w,v5). x != K(K(y,(z / u) * w) * v5,v6) | K(K(y,(u \ z) * w) * v5,v6) = x. K(K(x,(y \ z) * u) * w,v5) = K(K((u \ (z \ 1)) * y,x) * w,v5). K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(z \ y) * x) * w,v5). x != K(K(y,z * u) * w,v5) | K(K(y,u * z) * w,v5) = x. K(K(x,y * (z \ u)) * w,v5) = K(K((y \ (u \ 1)) * z,x) * w,v5). K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,x * (z \ y)) * w,v5). K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,x * (z \ y)) * w,v5) = v6. K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,(z \ y) * x) * w,v5) = v6. K(K(x,(y \ (z \ 1)) * u) * w,v5) != v6 | K(K(x,(u \ z) * y) * w,v5) = v6. K(x,K(y \ z,K(u,w) * y) * (z \ v5)) = K(x,T(z,y * K(u,w)) \ v5). K(x,K(y,y \ z) * (z \ u)) = K(x,T(z,y * K(w,v5)) \ u). K(x,T(y,z * K(u,w)) \ v5) = K(x,K(z,z \ y) * (y \ v5)). x != K(y,K(z,z \ u) * (u \ w)) | K(y,T(u,z) \ w) = x. 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,T((K(y,z) * u) \ w,u * K(y,z)) \ v5) != v6 | K(x,(w / (K(y,z) * u)) \ v5) = v6. K(x,(y / (K(z,u) * w)) \ v5) = K(x,T((K(z,u) * w) \ y,w) \ v5). K(x,T((K(y,z) * u) \ w,u) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). K(x,T((K(y,z) * u) \ w,v5) \ v6) != v7 | K(x,T(u \ (K(z,y) * w),v5) \ v6) = v7. K(x,T(y \ (K(z,u) * w),y) \ v5) = K(x,(w / (K(u,z) * y)) \ v5). K(x,T(y \ z,y) \ u) != w | K(x,(z / y) \ u) = w. K(x,((K(y,z) * u) / w) \ v5) = K(x,(u / (K(z,y) * w)) \ v5). K(x,K(y,((z \ u) \ 1) \ w)) = K(x,K(y,(u \ 1) \ ((z \ 1) * w))). K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,((u \ z) \ 1) \ w)). x != K(y,K(z,(u \ 1) \ w)) | K(y,K(z,u * w)) = x. K(x,K(y,(z \ u) * w)) = K(x,K(y,(u \ 1) \ ((z \ 1) * w))). K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). K(x,K(y,(z \ 1) \ u)) != w | K(x,K(y,z * u)) = w. K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). K(x,K(y,((z \ 1) * u) * w)) = K(x,K(y,(z \ w) * u)). K(x,K(y,z * ((u \ 1) * w))) != v5 | K(x,K(y,z \ ((w \ 1) * u))) = v5. K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,(w \ z) * u)). K(x,K(y,(z \ 1) \ ((u \ 1) * w))) != v5 | K(x,K(y,(u \ z) * w)) = v5. K(x,K(y,(z \ u) * w)) = K(x,K(y,(w \ (u \ 1)) * z)). K(x,K(y,(z \ (u \ 1)) * w)) = K(x,K(y,(w \ u) * z)). K(x,K(y,(z \ u) * w)) * y = T(y,K(x,(w \ (u \ 1)) * z)). T(x,K(y,(z \ (u \ 1)) * w)) = K(y,K(x,(w \ u) * z)) * x. T(x,K(y,(z \ u) * w)) = T(x,K(y,(w \ (u \ 1)) * z)). T(x,K(y,(z \ (u \ 1)) * w)) = T(x,K(y,(w \ u) * z)). x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(v5 \ (w \ 1)) * u)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). T(x,K((y \ (z \ 1)) * u,w) * v5) != v6 | T(x,K((u \ z) * y,w) * v5) = v6. K(x,K(y,(z \ u) * w)) * x = T(x,K(((w \ 1) * z) \ u,y)). T(x,K(((y \ 1) * z) \ u,w)) = K(x,K(w,(z \ u) * y)) * x. T(x,K(y,(z \ u) * w)) = T(x,K(((w \ 1) * z) \ u,y)). T(x,K(((y \ 1) * z) \ u,w)) = T(x,K(w,(z \ u) * y)). T(x,K(((y \ 1) * z) * u,w)) = T(x,K(w,(y \ u) * z)). T(x,K(y,((z \ 1) * u) * w)) = T(x,K(y,(z \ w) * u)). x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,((u \ 1) * v5) * w)) = T(y,K(((u \ 1) * v5) * w,z) * x). x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K(((u \ 1) * v5) * w,z) * x). T(x,K(((y \ 1) * z) * u,w) * v5) != v6 | T(x,K((y \ u) * z,w) * v5) = v6. K(x,K(y,z) * ((u / (z * y)) \ w)) = K(x,(u / (y * z)) \ w). L(K(x,K(y,z)) * ((u * w) \ v5),K(x,K(y,z)),u * w) = (u * (w * K(x,K(y,z)))) \ v5. L(K(x,K(y,z)) * ((u * w) \ v5),K(x,K(y,z)),u * w) != v6 | (u * (w * K(x,K(y,z)))) \ v5 = v6. (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). (K(x,T(y,z)) * u) \ w = K(x,K(y,z)) * ((K(x,y) * u) \ w). K(x,K(y,z)) * ((K(x,y) * u) \ w) = (K(x,T(y,z)) * u) \ w. L(x,y * K(z,K(u,w)),v5) != v6 | L(x,y,v5) = v6. L(x * K(y,K(z,u)),w,v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). K(x,K(y,z)) * L(u,w,v5) = L(u * K(x,K(y,z)),w,v5). L(x,y,z) * K(u,K(w,v5)) = L(x * K(u,K(w,v5)),y,z). T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). x \ T(x * L(y,z,u),K(w,v5)) = L(x \ T(x * y,K(w,v5)),z,u). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). K(x,K(y,z \ u)) = L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). K(x,K(y,z * L(u \ 1,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))). K(x,K(y,z \ u)) = K(x,K(y,z * (u \ y))). K(x,K(y,z * (u \ y))) = K(x,K(y,z \ u)). K(x,K(y,(z \ u) * w)) = K(x,K(y,w \ (u \ z))). K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,u \ (z \ w))) = v5. K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). K(x,K(y,L(z,u,w) \ ((u * w) \ v5))) != v6 | K(x,K(y,z \ (u \ (w \ v5)))) = v6. K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,L(z,u,w) * (v5 \ (u * w)))). K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z \ (u \ (w \ v5)))). K(x,K(y,z \ (u * w))) = K(x,K(y,u * (z \ w))). K(x,y * (z \ (u \ w))) * K(x,K(y,z * (w \ u))) = K(x,(z \ (u \ w)) * y). K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ z) * u)). K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,z * (w \ u))) = v5. K(x,K(y,z \ (u * w))) != v5 | K(x,K(y,u * (z \ w))) = v5. K(x,K(y,(z \ L(u \ 1,u,z * (w \ v5))) * (v5 \ w))) = K(x,K(y,u * (z * (w \ v5)))). K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 \ (w \ (z \ u)))). K(x,K(y \ (z * u),w)) != v5 | K(x,K(w,z * (y \ u))) = v5. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (w \ u))) = v5. x != K(y,K(z,u \ (w \ v5))) | K(y,K(z,u * (v5 \ w))) = x. K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,u * (w \ (T(v5,v6) * z)))). K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 * ((z \ u) \ w))). K(x,K(y,z * (u \ (w * v5)))) = K(x,K(y,v5 * ((z \ u) \ w))). K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,u * (w \ (v5 * z)))). K(x,K(y,z * (u \ w))) = K(x,K(y,(u \ z) * w)). K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z \ w))). K(x,K(y \ (z \ u),w)) = K(x,K(w,(u \ y) * z)). K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,u * (z \ w))) = v5. K(x,K(y,L(z \ 1,z,u * (w \ v5)) * (u \ (v5 \ w)))) = K(x,K(y,z * (u * (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)) = K(x,K(y,(v5 * w) * (v5 \ (u * z)))). K(x,K(y,(z * u) * (z \ (w * v5)))) = K(x,K(y,(v5 * w) * u)). K(x,K(y,(z / u) * w)) = K(x,K(y,z * (u \ w))). x != K(y,K(z,u)) | K(y,z) * K(z,T(y,u)) = x. K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,(u \ z) * w)). K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,u * ((u * z) \ w))). K(x,y / ((z \ u) * w)) * K(x,K(y,u * (z \ w))) = K(x,((z \ u) * w) \ y). K(x,K(y,z \ u)) = K(x,K(y,w * ((w * z) \ u))). K(x,K(y,z * ((z * u) \ w))) = K(x,K(y,u \ w)). K(x,K(y,z * ((z * u) \ w))) != v5 | K(x,K(y,L(u \ 1,u,z) * w)) = v5. K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,z \ w)). K(x,K(y,z * (u \ w))) = K(x,K(y,L(z \ 1,z,v5) * (w \ u))). K(x,K(y,L(z \ 1,z,u) * (w \ v5))) = K(x,K(y,z * (v5 \ w))). K(x,K(y,L(z \ 1,z,u * (w \ v5)) * (u \ (v5 \ w)))) != v6 | K(x,K(y,z * (u * (w \ v5)))) = v6. K(x,K(y,z * (u * (w \ v5)))) = K(x,K(y,z * ((v5 \ w) \ u))). K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,z * (v5 * (w \ u)))). x != K(y,K(z \ (u * w),v5)) | K(y,K((u \ z) \ w,v5)) = x. K(x,K((y \ z) \ u,w * (v5 * (v6 \ v7)))) = K(x,K(z \ (y * u),w * ((v7 \ v6) \ v5))). K(x,K(y,z * ((u \ w) \ v5))) != v6 | K(x,K(y,u * (w \ (v5 * z)))) = v6. K(x,K(y,z * (u \ (w * v5)))) = K(x,K(y,v5 * (w * (u \ z)))). K(K(x,K(y,z * (u * (1 \ w)))) * (v5 \ K(((w \ 1) \ u) * z,x)),v6) = K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6). K(x,K(y,(z * u) * (z \ (w * v5)))) != v6 | K(x,K(y,(v5 * w) * u)) = v6. K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * (v5 \ (v5 * w))))). K(x,K(y,z * (u * (w \ (w * v5))))) = K(x,K(y,(z * u) * v5)). K(x,K(y,z * (u \ (w / L(T(v5,v6),v7,v5))))) = K(x,K(y,K(v6,v5) * ((w / L(v5,v7,v5)) * (u \ z)))). K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (w / L(T(u,z),v5,u))))). K(x,K(y,z * (u * w))) = K(x,K(y,(z * u) * w)). K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). K(x,K(y,z * (u \ w))) = K(x,K(y,z * (w * u))). K(x,K(y,((z \ u) * w) * v5)) != v6 | K(x,K(y,v5 * ((T(z,v7) \ u) * w))) = v6. K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,(u \ v5) * (v6 * z))). K(x,y) * K(x,K(y,z * (u * w))) = K(x,T(y,(z * u) * w)). K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(z \ (u \ w)) * y). K(x,y / ((z \ u) * w)) * K(x,K(y,u * (w * z))) = K(x,((z \ u) * w) \ y). K(x,y / ((((z \ 1) * u) \ w) * a(v5,v6,v5))) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * ((z \ 1) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * ((y \ 1) * z))). R((x / (y * z)) * K(y,K(u,w)),K(u,K(w,y)),y * z) != v5 | x / (T(y,K(u,w)) * z) = v5. x / (T(y,K(z,u)) * w) = (x / (y * w)) * K(y,K(z,u)). (x / (y * z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) * z). K(x,y * K(z,T((u * w) \ v5,v6))) = K(x,K(z,T(w \ (u \ v5),v6)) * y). K(x,K(y,T(z \ (u \ w),v5)) * v6) = K(x,v6 * K(y,T((u * z) \ w,v5))). L(a(x,y,y \ 1),x,K(z,u)) != w | (K(z,u) * x) \ T(R(x,y,y \ 1) * K(z,u),x) = w. (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = a(z,u,u \ 1). a(L(x,y,T(z,u)),w,w \ 1) = a(L(x,y,z),w,w \ 1). x != K(y,K(z,(u \ w) * v5)) | K(y,K(z,w * (u \ v5))) = x. K(x,K(y,z * (u \ (w * v5)))) = K(x,K(y,v5 * ((T(u,v6) \ z) * w))). K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,v5 * (u \ (v6 * z)))). K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,L(z,v5,u) * (w \ (v5 * u)))). K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * ((w \ v5) \ u))). x != K(y,K(z,u * ((w \ v5) \ v6))) | K(y,K(z,u * (v6 * (v5 \ w)))) = x. K(x,K(y,z * (u * (w \ v5)))) = K(x,K(y,L(z,u,v5) * (w \ (u * v5)))). K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * (u * (v5 \ w)))). K(x,K(y,z * (u \ w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (v5 \ w)))). K(x,T(y,z * (u * w))) = K(x,T(y,(z * u) * w)). K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). K(x,T(y,(z * u) * (z * w))) != v5 | K(x,T(y,L(w \ u,w,z))) = v5. K(x,T(y,L(z \ u,z,w))) = K(x,T(y,w * (u * (w * z)))). K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. K(x,T(y,z \ u)) = K(x,T(y,w * (u * (w * z)))). K(x,T(y,z * (u * (z * w)))) = K(x,T(y,w \ u)). x != K(y,T(z,u \ w)) | K(y,T(z,w * u)) = x. K(x,T(y,z * u)) = K(x,T(y,w * (z * (w * u)))). K(x,T(y,z * (u * (z * w)))) = K(x,T(y,u * w)). K(K(x,K(y,z * (u * w))) * (v5 \ K(((w \ 1) \ u) * z,x)),v6) = K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6). K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(((u \ 1) \ w) * z,y)),v6). x != K(y,K(z,u * (w \ (v5 / v6)))) | K(y,K(z,u * (w \ (v6 \ v5)))) = x. K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,K(v5,w) * ((v7 / L(w,v6,w)) * (u \ z)))). K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (L(T(u,z),v5,u) \ w)))). K(x,K(y,K(z,u) * ((w / u) * (v5 \ v6)))) = K(x,K(y,v6 * (v5 \ (L(T(u,z),v7,u) \ w)))). K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,K(v5,w) * ((v7 / w) * (u \ z)))). K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,(v7 / T(w,v5)) * (u \ z))). x != K(y,K(z,(u / w) * v5)) | K(y,K(z,u * (w \ v5))) = x. K(x,K(y,z * (T(u,w) \ (v5 \ v6)))) = K(x,K(y,v6 * (v5 \ (L(T(u,w),v7,u) \ z)))). K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (T(w,v5) \ (u \ z)))). x != K(y,K(z,u * (T(w,v5) \ v6))) | K(y,K(z,u * (w \ v6))) = x. K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,v5 * (w \ (L(T(u,v6),v7,u) \ z)))). K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (w \ (u \ z)))). K(x,K(y,z * ((L(T(u,w),v5,u) \ v6) * v7))) = K(x,K(y,v6 * (u \ (v7 \ z)))). K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,v5 * (u \ (v6 \ z)))). K(x,K(y,z * ((T(u,w) \ v5) * v6))) != v7 | K(x,K(y,v5 * (u \ (v6 * z)))) = v7. 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,z * (u \ (w * v5)))). x != K(y,K(z,u * (w \ v5))) | K(y,K(z,u * (v5 * w))) = x. K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (v5 \ (u \ w)))). K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * ((w * v5) * u))). K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * ((u * w) * v5))). K(x,K(y,z * ((u \ w) \ v5))) = K(x,K((z \ y) \ ((u \ w) \ v5),z * (v5 * (w \ u)))). K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * ((u \ w) \ v5))). K(x,K(y,z * (u * (w \ v5)))) = K(x,K((z \ y) \ ((v5 \ w) \ u),z * (u * (w \ v5)))). K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * (v5 * (w \ u)))). K(x,K(y * (z * (u \ w)),(y \ v5) \ ((w \ u) \ z))) = K(x,K(v5,y * (z * (u \ w)))). K(x,K(y * (z * (u \ w)),(y \ v5) * (z \ (w \ u)))) = K(x,K(v5,y * (z * (u \ w)))). K(x,K(y * (z * (u \ w)),v5 * (y \ (z \ (w \ u))))) = K(x,K(v5,y * (z * (u \ w)))). K(x,K(y,z * (u \ (w \ v5)))) != v6 | K(x,K(y,z * ((w * v5) * u))) = v6. K(x,K(y * (z * (u \ w)),v5 * ((z * (w \ u)) * y))) = K(x,K(v5,y * (z * (u \ w)))). K(x,K((y \ z) * u,w)) = K(x,K(z \ (u \ y),w)). K(x,K(y \ (z \ u),w)) = K(x,K((u \ y) * z,w)). K(x,T(K(y,z) * (u \ w),v5)) = K(x,T((u \ K(z,y)) * w,v5)). K(x,T((y \ K(z,u)) * w,v5)) = K(x,T(K(u,z) * (y \ w),v5)). K(x,L(y,z,u \ 1)) * ((u \ z) \ 1) = (u \ (z * K(y,x))) \ 1. K(x,K(y,z \ u)) * K(x,y * ((z \ (u * K(w,v5))) \ 1)) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). K((K(x,y) * z) * u,w) != v5 | K(z * (u * K(x,y)),w) = v5. K(x * (y * K(z,u \ 1)),w) != v5 | K(x * (y * K(z,u)),w) = v5. K(x * ((y * z) \ K(u,z)),w) != v5 | K(x / (y * T(z,u)),w) = v5. K((x * y) / (z * T(u,y)),w) = K((x * T(y,u)) / (z * u),w). K((x * T(y,z)) / (u * z),w) = K((x * y) / (u * T(z,y)),w). K(x * ((y \ K(z,u)) * K(z,u)),w) != v5 | K(x / y,w) = v5. K(x / y,z) = K(x * (K(u,w) * (y \ K(u,w))),z). K(x * (K(y,z) * (u \ K(y,z))),w) = K(x / u,w). x != K(((y \ 1) \ z) \ u,w) | K(((z \ 1) / y) * u,w) = x. K(((x \ 1) / y) * z,u) = K(x \ ((y \ 1) * z),L(u,x,y)). K(x \ ((y \ 1) * z),L(u,x,y)) = K(((x \ 1) / y) * z,u). K((x * y) \ L(z,x \ 1,x),u) = K(((y \ 1) / x) * z,u). K(x \ L(y,z \ 1,z),u) = K((((z \ x) \ 1) / z) * y,u). K((((x \ y) \ 1) / x) * z,u) = K(y \ L(z,x \ 1,x),u). K(x * L(y,z \ 1,z),u) = K((((z \ (x \ 1)) \ 1) / z) * y,u). K((((x \ (y \ 1)) \ 1) / x) * z,u) = K(y * L(z,x \ 1,x),u). K(K(x \ L(y,z \ 1,z),u) * w,v5) = K(K((z \ ((z \ x) \ 1)) * y,u) * w,v5). K(K((x \ ((x \ y) \ 1)) * z,u) * w,v5) = K(K(y \ L(z,x \ 1,x),u) * w,v5). K(K(x,(y \ (z \ u)) * z) * w,v5) = K(K(u \ L(y,z \ 1,z),x) * w,v5). K(K(x \ L(y,z \ 1,z),u) * w,v5) = K(K(u,(y \ (z \ x)) * z) * w,v5). K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,(z \ (u \ y)) * u) * x,v5). K(K(x,y * (z \ (y \ u))) * w,v5) = K(w * K(u \ L(z,y \ 1,y),x),v5). K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,u * (z \ (u \ y))) * x,v5). K(((x / (y \ 1)) / y) * z,u) = K(x * L(z,y \ 1,y),u). K(x * (y \ K(z * (((u / (w \ 1)) / w) * v5),z)),v6) = K(x * (y \ K(u * L(v5,w \ 1,w),z)),v6). K(x,(K(y,z) * (u * w)) \ 1) = K(x,(w \ 1) * (u \ K(y,z))). K(x,(y * z) \ K(u,w)) = K(x,(z \ 1) * (y \ K(w,u))). K(x,(y \ 1) * (z \ K(u,w))) = K(x,(z * y) \ K(w,u)). K(x,y \ (z \ K(u,w))) = K(x,(z * y) \ K(w,u)). K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(w,u))). K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,u * w)) = v5. K(x \ K(y / T(z,u * w),v5),y / T(z,u * w)) = K(x,(y / T(z,u \ w)) \ 1). K(x,(y / T(z,u * w)) \ 1) = K(x,(y / T(z,u \ w)) \ 1). K(x,(y / T(z,u \ w)) \ 1) = K(x,(y / T(z,u * w)) \ 1). K(x,T(y,z * u) / w) = K(x,(w / T(y,z \ u)) \ 1). K(x,(y / T(z,u \ w)) \ 1) = K(x,T(z,u * w) / y). K(x,T(y,z \ u) / w) = K(x,T(y,z * u) / w). a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y * z) / z) = K(x,x \ (T(y,y \ z) / z)). a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,z) / z) = K(x,x \ (T(y,y \ z) / z)). a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,y \ z) / z)). x != K(y,L(T(z,u / w),v5,v6)) | K(y,L(T(z,w \ u),v5,v6)) = x. K(x,L(T(y,z \ u),u,z)) = K(x,(((u / z) * y) * z) / u). K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,z \ y),y,z)). K(x,(K(y,T(z,u / w)) * w) / u) = K(x,L(T(K(y,z) / (u / w),w \ u),u,w)). K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,u / w)) * w) / u). K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,w \ u)) * w) / u). x != K(y,(K(z,u) * w) / v5) | K(y,w * (v5 \ K(z,u))) = x. K(x,y * (z \ K(u,T(w,y \ z)))) = K(x,L(T(K(u,w) / (z / y),y \ z),z,y)). K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,T(z,w \ u)))). x != K(y,z * (u \ K(w,T(v5,v6)))) | K(y,z * (u \ K(w,v5))) = x. K(x,y * (z \ K(u,w))) = K(x,L(T(K(u,w) / (z / y),y \ z),z,y)). K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,z))). K(x,L(T((y / z) \ K(u,w),K(z,y)),y,z)) = K(x,z * (y \ K(u,w))). K(x,L((y / z) \ K(u,w),y,z)) = K(x,z * (y \ K(u,w))). K(x,L((y / z) \ u,y,z)) != w | K(x,T(y,z) \ (z * u)) = w. K(x,T(y,z) \ (z * K(u,w))) = K(x,z * (y \ K(u,w))). K(x,y \ (z * K(u,w))) != v5 | K(x,(y \ z) * K(u,w)) = v5. K(x,(T(y,z) \ z) * K(u,w)) = K(x,z * (y \ K(u,w))). K(x,(T(y,z) \ z) * u) != w | K(x,(z / y) * u) = w. K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). K(x,T((T(y,z) * z) \ 1,u)) = K(x,(z * y) \ K(u,T(y,z) * z)). K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T((T(z,y) * y) \ 1,u)). x != K(y,T((z * u) \ 1,w)) | K(y,T(u \ (z \ 1),w)) = x. K(x,T(y \ (T(z,y) \ 1),u)) = K(x,(y * z) \ K(u,T(z,y) * y)). K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(y \ (T(z,y) \ 1),u)). K(x,(y * z) \ K(u,y * z)) = K(x,T(y \ (T(z,y) \ 1),u)). K(x,T(y \ (T(z,y) \ 1),u)) = K(x,(y * z) \ K(u,y * z)). x != K(y,(z * u) \ K(w,v5)) | K(y,u \ (z \ K(v5,w))) = x. K(x,y \ (z \ K(z * y,u))) = K(x,T(z \ (T(y,z) \ 1),u)). K(x,T(y \ (T(z,y) \ 1),u)) = K(x,z \ (y \ K(y * z,u))). K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(y * z,u) \ 1). K(x,T((y * z) \ 1,u)) = K(x,T(y \ (T(z,y) \ 1),u)). K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T((y * z) \ 1,u)). K(x,T(y \ (z \ 1),u)) = K(x,T(z \ (T(y,z) \ 1),u)). K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(z \ (y \ 1),u)). K(x,T(y \ (T(z,y) \ 1),u)) != w | K(x,z \ (y \ K(y * z,u))) = w. K(x,y \ (z \ K(z * y,u))) = K(x,T(y \ (z \ 1),u)). K(x,y \ ((z \ 1) \ K(z \ y,u))) = K(x,T(y \ ((z \ 1) \ 1),u)). K(x,y \ ((L(y,z,u) \ 1) \ a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). K(x,y \ ((L(y,z,u) \ 1) \ w)) != v5 | K(x,y \ (L(y,z,u) * w)) = v5. K(x,y \ (L(y,z,u) * a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). K(x,y \ L(y,z,u)) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = K(x,y \ L(y,z,u)). x != K(y,z \ L(z,u,w)) | a(z,u,K(y,w)) = x. a(x,y,K(z,u)) = K(z,T(x \ ((L(x,y,u) \ 1) \ 1),w)). K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = a(y,z,K(x,u)). K(x,T(y \ L(y,z,u),w)) = a(y,z,K(x,u)). K(x,(y \ (z * K(u,w))) \ v5) = K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5)). K(x,K(y,L(z,u,w \ 1)) \ ((w \ u) \ v5)) = K(x,(w \ (u * K(y,z))) \ v5). K(x,K(L(y,z,u \ 1),w) * ((u \ z) \ v5)) = K(x,(u \ (z * K(w,y))) \ v5). K(x,K(y,z) * ((u \ w) \ v5)) = K(x,(u \ (w * K(z,y))) \ v5). K(x,(y \ (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y \ z) \ v5)). a(x \ y,x,y \ 1) = a(x,x \ 1,(y / x) \ 1). x != a(y,y \ 1,z \ 1) | a(z,y,y \ 1) = x. a(x / y,y,y \ 1) = a(y \ x,y,x \ 1). a(x \ y,x,y \ 1) = a(y / x,x,x \ 1). x != a(y / z,z,u) | a(z \ y,z,u) = x. a(x \ y,x,x \ 1) = a(x \ y,x,y \ 1). a(x \ y,x,y \ 1) = a(x \ y,x,x \ 1). a(x \ (y \ 1),x,y) = a(x \ (y \ 1),x,x \ 1). a(x \ (y \ 1),x,x \ 1) = a(x \ (y \ 1),x,y). a(x \ y,x,x \ 1) != z | a(y,x \ 1,x) = z. a(x \ 1,y \ 1,y) = a(y \ (x \ 1),y,x). a(x \ (y \ 1),x,y) = a(y \ 1,x \ 1,x). x != a(y \ 1,z \ 1,z) | a(z \ 1,z,y) = x. a(x \ 1,x,y) = a(x \ (y \ 1),x,y). a(x \ (y \ 1),x,y) = a(x \ 1,x,y). a(x \ (y \ 1),x,y) != z | a(x,x \ 1,(x \ 1) \ y) = z. a(x,x \ 1,(x \ 1) \ y) = a(x \ 1,x,y). a(x,x \ 1,(x \ 1) \ y) != z | y \ (x \ ((x \ 1) \ y)) = z. x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x). x * a(y \ 1,y,x) = y \ ((y \ 1) \ x). K(x,L(T(y \ z,u \ ((u \ 1) \ z)),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). (x \ ((x \ 1) \ y)) / y = a(x \ 1,x,y). K(x,L(T(y \ z,z),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). K(x,L(y,z,a(u \ 1,u,w))) != v5 | K(x,y) = v5. K(x,T(y \ z,z)) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,T(u \ z,z)). x != K(y,T(z \ u,u)) | K(y,u / z) = x. K(x,y / z) = K(x,(u \ ((u \ 1) \ y)) / (((u \ ((u \ 1) \ y)) / y) * z)). K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,z / u). K(x,(y \ ((y \ 1) \ z)) / (a(y \ 1,y,z) * u)) = K(x,z / u). ((x * K(y,z)) * u) / T(x,K(z,y) * u) != w | ((K(y,z) * u) * R(x,K(y,z),u)) / x = w. ((K(x,y) * z) * R(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). ((K(x,y) * z) * L(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). (x * (T(K(y,z),x) * u)) / u = u \ ((u * K(y,z)) * x). (x * (K(y,T(z,x)) * u)) / u = u \ ((u * K(y,z)) * x). K(x,T((y \ z) * K(u,w),v5)) = K(x,T(y \ (K(u,w) * z),v5)). K(x,T(y \ (K(z,u) * w),v5)) = K(x,T((y \ w) * K(z,u),v5)). K(x,T(y \ (z * K(u,w)),v5)) = K(x,T((y \ z) * K(u,T(w,z)),v5)). K(x,T((y \ z) * K(u,T(w,z)),v5)) = K(x,T(y \ (z * K(u,w)),v5)). K(x,T(y * K(z,T(u,w)),v5)) != v6 | K(x,T(K(u,z) * y,v5)) = v6. K(x,T(K(y,z) * (u \ w),v5)) = K(x,T(u \ (w * K(z,y)),v5)). K(x,T(y \ (z * K(u,w)),v5)) = K(x,T(K(w,u) * (y \ z),v5)). K(x,T((y \ z) \ K(u,w),v5)) = K(x,T(K(w,u) * (z \ y),v5)). K((x \ T(y,x)) \ z,u) = K((T(x,y) \ y) \ z,u). K((T(x,y) \ y) \ z,u) = K((x \ T(y,x)) \ z,u). K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y \ 1))). K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y))). K(x,K(y,z) * (u * (w \ y))) != v5 | K(x,u * (w \ ((y \ z) \ z))) = v5. K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ T(u * w,u))). K(x,K(y,z) * (u * (w \ z))) != v5 | K(x,u * (w \ T(z,y))) = v5. K(x,y * (z \ T(u,w))) = K(x,y * (z \ (w * (u / w)))). K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). K(x,y * (z \ (u * w))) = K(x,y * (z \ T(w * u,u))). K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). K(x,y) * ((z * u) * a(x,z,K(u,y))) = (K(x,y) * z) * u. K(x,y) * (z * (u * a(x,z,K(u,y)))) = (K(x,y) * z) * u. ((K(x,y) * z) * u) \ 1 = ((z * (u * a(x,z,K(u,y)))) \ 1) * K(y,x). ((x * (y * a(z,x,K(y,u)))) \ 1) * K(u,z) = ((K(z,u) * x) * y) \ 1. (x \ R(x,y,x)) \ ((K(x,y) * z) * u) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). K(((K(x,y) * z) * u) / K(x,y),w) = K(z * (u * a(x,z,K(u,y))),T(w,K(x,y))). K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) / K(z,u),w). K((K(x,y) * z) * u,w) = K((z * (u * a(x,z,K(u,y)))) * K(y,x),w). K((x * (y * a(z,x,K(y,u)))) * K(u,z),w) = K((K(z,u) * x) * y,w). K((K(x * y,y) * z) * u,w) = K(K(y,x) * (z * (u * a(x * y,z,K(u,y)))),w). K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K((K(y * x,x) * z) * u,w). K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) * K(u,z),w). K(x * (y * a(z,x,K(y,u))),w) = K(((K(z,u) * x) * y) * K(u,z),w). K(((K(x,y) * z) * u) * K(y,x),w) = K(z * (u * a(x,z,K(u,y))),w). x != K(y * (z * a(u,w,K(v5,v6))),v7) | K(y * z,v7) = x. K(x * y,z) = K(((K(u,w) * x) * y) * K(w,u),z). K(((K(x,y) * z) * u) * K(y,x),w) = K(z * u,w). K(((x * y) * z) * K(x,u),w) = K((T(x,u) * y) * z,w). K(K(x,y) * ((x * z) * u),w) = K((T(x,y) * z) * u,w). K(((x * y) * z) * K(x,y),u) != w | K((y * x) * z,u) = w. K((x * y) * z,u) = K((T(y,x) * x) * z,u). K((T(x,y) * y) * z,u) = K((y * x) * z,u). K(x * (T(y,z) * z),u) = K((z * y) * x,T(u,z * y)). K((x * y) * z,T(u,x * y)) = K(z * (T(y,x) * x),u). K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(((x \ 1) * (x * y)) * z,u). K((T(K(x \ y,x),z * y) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). K((T(x,T(y,z)) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). K((T(x,y * z) * T(z * y,y)) * u,w) = K((T(z * y,y) * x) * u,w). K((T(x,T(y,z)) * ((z \ y) * z)) * u,w) = K((((z \ y) * z) * x) * u,w). K((x * ((y \ z) * y)) * u,w) != v5 | K((x * T(z,y)) * u,w) = v5. K((T(x,T(y,z)) * T(y,z)) * u,w) = K((((z \ y) * z) * x) * u,w). K((T(x,y) * y) * z,u) != w | K((y * x) * z,u) = w. K((T(x,y) * z) * u,w) = K((((y \ x) * y) * z) * u,w). K((((x \ y) * x) * z) * u,w) = K((T(y,x) * z) * u,w). K(x,K((T(y,z) * u) * w,((((z \ y) * z) * u) * w) * v5)) = K(x,K((((z \ y) * z) * u) * w,v5)). K(x * ((((y \ z) * y) * u) * w),v5) * K(x,K((T(z,y) * u) * w,v5)) = K(((((y \ z) * y) * u) * w) * x,v5). x != K((y * (z / y)) * u,w) | K(T(z,y) * u,w) = x. 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,K((T(y,z) * u) * w,v5)) != v6 | K(x,K(v5,w * (y * u))) = v6. K(x,K(((((y \ z) * y) * u) * w) * v5,w * (z * u))) = K(x,K((((y \ z) * y) * u) * w,v5)). 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),u) != w | K(x * (z * y),u) = w. K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). K(x * (T(y,T(z,u)) * ((u \ z) * u)),w) = K(x * (((u \ z) * u) * y),w). K(x * (T(y,z) * (z * a(u,w,K(v5,v6)))),v7) = K(x * ((z * a(u,w,K(v5,v6))) * y),v7). K(x * (y * ((z \ u) * z)),w) != v5 | K(x * (y * T(u,z)),w) = v5. K(x * (T(y,T(z,u)) * T(z,u)),w) = K(x * (((u \ z) * u) * y),w). K(x * (T(y,z) * u),w) = K(x * (((z \ y) * z) * u),w). K(x * (((y \ z) * y) * u),w) = K(x * (T(z,y) * u),w). K((K(x \ y,T(x,z * y)) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). K(x * (T(y,z) * z),u) = K(x * ((z * a(w,v5,K(v6,v7))) * y),u). K(x * (y * z),u) = K(x * ((y * a(w,v5,K(v6,v7))) * z),u). K(x * ((y * a(z,u,K(w,v5))) * v6),v7) = K(x * (y * v6),v7). K(x * (((y * z) * K(u,w)) * v5),v6) = K(x * ((y * (z * K(u,w))) * v5),v6). K(x * ((y * (z * a(u,w,K(v5,v6)))) * K(v7,L(v8,y,z * a(u,w,K(v5,v6))))),v9) = K(x * (z * (T(y,z * a(u,w,K(v5,v6))) * K(v7,v8))),v9). K(x * ((y * (z * a(u,w,K(v5,v6)))) * K(v7,v8)),v9) = K(x * (z * (T(y,z * a(u,w,K(v5,v6))) * K(v8,v7))),v9). K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * ((z * (y * a(u,w,K(v5,v6)))) * K(v8,v7)),v9). K(x * (y * ((z * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * (T(y,z * a(u,w,K(v5,v6))) * K(v8,v7))),v9). K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * ((y * a(u,w,K(v5,v6))) * K(v8,v7))),v9). K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * (y * (K(v8,v7) * a(u,w,K(v5,v6))))),v9). K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * (z * (y * (K(w,u) * a(v6,v7,K(v8,v9))))),v5). K(x * (y * (T(z,y) * K(u,w))),v5) != v6 | K(x * ((K(u,w) * z) * y),v5) = v6. K(x * ((K(y,z) * u) * w),v5) = K(x * (u * (w * (K(z,y) * a(v6,v7,K(v8,v9))))),v5). K(x * (y * (z * (K(u,w) * a(v5,v6,K(v7,v8))))),v9) = K(x * ((K(w,u) * y) * z),v9). K(x * (y * (z * K(u,w))),v5) = K(x * ((K(w,u) * y) * z),v5). K(x * ((K(y,z) * u) * w),v5) = K(x * (u * (w * K(z,y))),v5). K(x * ((K(y,z) * u) * w),v5) != v6 | K(x * ((u * K(y,z)) * w),v5) = v6. K(x * ((y * K(z,u)) * w),v5) = K(x * (y * (w * K(u,z))),v5). K(x * (T(y,z) * u),w) = K(x * (y * (u * K(z,y))),w). K(x * (y * (z * K(u,y))),w) = K(x * (T(y,u) * z),w). K(x * ((T(y,z) * u) * w),v5) = K(x * ((y * u) * (w * K(z,y))),v5). K(x * ((y * z) * (u * K(w,y))),v5) = K(x * ((T(y,w) * z) * u),v5). K(x * (((T(y,z) \ 1) * u) * w),v5) = K(x * (((y \ 1) * u) * (w * K(y,z))),v5). K(x * (((y \ 1) * z) * (u * K(y,w))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). K(x * (y * (z * K(u,w \ 1))),v5) != v6 | K(x * (y * (z * K(u,w))),v5) = v6. K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * ((T(y \ 1,w) * z) * u),v5). K(x * ((((y \ 1) * z) * u) * K(y,L(w,u,(y \ 1) * z))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). K(x * ((((y \ 1) * z) * u) * K(w,y)),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). K(x * (((y \ 1) * z) * (u * K(w,y))),v5) != v6 | K(x * ((T(y \ 1,w) * z) * u),v5) = v6. K(x * ((T(y \ 1,z) * u) * w),v5) = K(x * (((T(y,z) \ 1) * u) * w),v5). K(x * (((T(y,z) \ 1) * u) * w),v5) = K(x * ((T(y \ 1,z) * u) * w),v5). (x * K(y * ((T(z \ 1,u) * w) * v5),v6)) \ x = K(v6,y * (((T(z,u) \ 1) * w) * v5)). K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * (((T(z,u) \ 1) * w) * v5)). K(x,y * (((T(z,u) \ 1) * w) * v5)) = K(x,y * ((T(z \ 1,u) * w) * v5)). K(x * (y * (z * K(u,w))),v5) != v6 | K(x * (y * (K(u,w) * z)),v5) = v6. K(x * (y * (K(z,y) * u)),w) = K(x * (T(y,z) * u),w). K(x * (((y * z) * K(u,w)) * v5),v6) != v7 | K(x * ((y * (z * K(u,w))) * v5),v6) = v7. K(x * ((y * (z * K(u,w))) * v5),v6) = K(x * ((y * z) * (v5 * K(w,u))),v6). K(x * (y * T(z,u)),w) = K(x * (y * (z * K(u,z))),w). K(x * (y * (z * K(u,z))),w) = K(x * (y * T(z,u)),w). (x * K(y * (z * (u * K(w,v5))),v6)) \ x = K(v6,y * ((z * K(v5,w)) * u)). K(a(x,y,x) * ((z * (u * K(w,v5))) * v6),v7) != v8 | K((z * (K(w,v5) * u)) * v6,v7) = v8. K((x * (K(y,z) * u)) * w,v5) = K(a(v6,v7,v6) * ((x * u) * (w * K(z,y))),v5). K(a(x,y,x) * ((z * u) * (w * K(v5,v6))),v7) = K((z * (K(v6,v5) * u)) * w,v7). K(K(x,y) * ((y * (x * K(z,u))) * w),v5) != v6 | K(((x * K(z,u)) * y) * w,v5) = v6. K(((x * K(y,z)) * u) * w,v5) = K(K(x,u) * ((u * x) * (w * K(z,y))),v5). K(K(x,y) * ((y * x) * (z * K(u,w))),v5) = K(((x * K(w,u)) * y) * z,v5). K((x * y) * (z * K(u,w)),v5) = K((x * (K(w,u) * y)) * z,v5). K((x * (K(y,z) * u)) * w,v5) = K((x * u) * (w * K(z,y)),v5). K((x * (y * K(z,u))) * w,v5) = K((x * y) * (w * K(u,z)),v5). K((T(x,y) * z) * u,w) = K((x * z) * (u * K(y,x)),w). K((x * y) * (z * K(u,x)),w) = K((T(x,u) * y) * z,w). K(x * y,z) = K((K(u,w) * x) * (y * K(u,w)),z). K((K(x,y) * z) * (u * K(x,y)),w) = K(z * u,w). (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (K(v5,w) * z)) * u). (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (z * K(v5,w))) * u). K((x * (y * K(z,u))) * (((w \ x) * y) \ K(u,z)),v5) != v6 | K(w,L(v5,w \ x,y * K(z,u))) = v6. K(x,L(y,x \ z,u * K(w,v5))) = K((z * u) * ((((x \ z) * u) \ K(v5,w)) * K(v5,w)),y). K((x * y) * ((((z \ x) * y) \ K(u,w)) * K(u,w)),v5) = K(z,L(v5,z \ x,y * K(w,u))). K((x * y) / ((z \ x) * y),u) = K(z,L(u,z \ x,y * K(w,v5))). K(x,L(y,z,u)) = K(x,L(y,x \ z,u * K(w,v5))). K(x,L(y,x \ z,u * K(w,v5))) = K(x,L(y,z,u)). K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). K(x,L(y,z,(u \ w) * K(u,v5))) != v6 | K(x,L(y,z,T(u,v5) \ w)) = v6. K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). K(x,L(y,z,(u \ 1) * w)) != v5 | K(x,L(y,z,u \ w)) = v5. K(x,L(y,z,u \ K(w,v5))) = K(x,L(y,z,u \ 1)). K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u * K(w,v5),x)). a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). K(x,L(y,z,K(u,w) * (v5 \ (K(w,u) * v6)))) != v7 | K(x,L(y,z,v5 \ v6)) = v7. K(x,L(y,z,u \ w)) = K(x,L(y,z,u \ (K(v5,v6) * w))). K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,u \ v6)). K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,(w * u) \ v5)). ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). K(x,L(y,z,u \ (K(w,v5) * v6))) != v7 | K(x,L(y,z,v6 * (u \ K(w,v5)))) = v7. K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). K(x,L(y,z,u \ (T(w,v5) \ v6))) = K(x,L(y,z,u \ (w \ v6))). K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ 1))). (x \ K(y,z)) * K(u,L(w,v5,v5 \ x)) = ((v5 \ (K(z,y) * x)) \ 1) * (v5 \ K(u,w)). ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (u \ K(z,y)) * K(w,L(v5,x,x \ u)). K(x,L(T(y,z),u,u \ z)) * (z \ K(w,v5)) = ((z \ K(w,v5)) / (u \ 1)) * (u \ K(x,y)). K(x,L(y,z,u * (w \ K(v5,v6)))) != v7 | K(x,L(y,z,(w * K(v6,v5)) \ u)) = v7. K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,u \ v6)). K((x * y) \ z,L(u,z,x \ 1)) != w | K(y \ (x \ z),u) = w. K(x \ ((y * K(z,u)) \ w),v5) = K(((y * K(z,u)) * x) \ w,L(v5,w,y \ 1)). K(((x * K(y,z)) * u) \ w,L(v5,w,x \ 1)) = K(u \ ((x * K(y,z)) \ w),v5). K(x,L(y,z,(u * T(w,v5)) \ v6)) = K(x,L(y,z,(u * w) \ v6)). K(x,L(y,z,(z * K(u,w)) \ v5)) * v5 = (K(x,y) * z) * (z \ v5). K((x * ((y * K(z,u)) \ 1)) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(z,u)) \ w),v5). K(((x * K(y * z,y)) * u) \ w,L(v5,w,x \ 1)) = K(u \ (T(K(y * z,y) * x,K(y,z)) \ w),v5). K((x * (K(y,z) / u)) * w,L(v5,w,u \ 1)) = K((x \ 1) \ ((u * K(z,y)) \ w),v5). K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(u,z)) \ w),v5). x != K(y,L(z,u,w \ (v5 \ 1))) | K(y,L(z,u,w \ (v5 \ K(v6,v7)))) = x. K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ K(v7,v8)))). K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = (z \ 1) * ((K(y,x) / z) \ (u * K(w,v5))). K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ 1)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) != v6 | ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5) = v6. ((x \ 1) * ((K(y,z) / x) \ u)) * K(w,v5) = (x \ 1) * ((K(y,z) / x) \ (u * K(w,v5))). K(x,L(y,(z * K(u,w)) * v5,z \ K(w,u))) != v6 | K(x,L(y,v5,(z * K(u,T(w,v7))) \ 1)) = v6. K(x,L(y,z,(u * K(w,T(v5,v6))) \ 1)) = K(x,L(y,(u * K(w,v5)) * z,u \ 1)). K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). x != K(y,L(z,u,(w * K(v5,v6)) \ v7)) | K(y,L(z,u,w \ v7)) = x. K(x,L(y,z,u \ 1)) = K(x,L(y,(u * K(w,v5)) * z,u \ 1)). K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,z \ 1)). K(x,L(y,(z * K(u,w)) * v5,z \ 1)) != v6 | K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)) = v6. K(x,L(y,z * K(u,w),L(v5,K(u,w),z) \ 1)) = K(x,L(y,z,v5 \ 1)). K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). K(x,L(y,z * K(u,w),L(v5 \ 1,K(u,w),z))) = K(x,L(y,z,v5 \ 1)). K(x,L(y,z * K(u,w),v5 \ 1)) = K(x,L(y,z,v5 \ 1)). K(x * ((y \ 1) * (z * K(u,w))),v5) = K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)). K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * ((y \ 1) * (z * K(u,w))),v5). K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) != v7 | K(x,L(y,K(w,u) / z,v6)) = v7. K(x,L(y,K(z,u) / w,v5)) = K(x,L(y,w,v5 \ 1)). K(x \ (y \ (z * K(u,w))),v5) = K((y * x) \ (z * K(u,w)),L(v5,z,y \ 1)). K((x * y) \ (z * K(u,w)),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). K(x \ (y * K(z,u)),w) != v5 | K((x \ y) * K(z,u),w) = v5. K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) != v6 | K((K(w,T(u,y * x)) * y) \ (x \ z),v5) = v6. K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(z \ (u \ (w * K(y,x))),v5). K(((x * (y \ 1)) \ z) * K(u,w),v5) != v6 | K((y * (x \ K(u,w))) * z,v5) = v6. K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ (y \ (w * K(z,u))),v5). K((x \ (y \ z)) * K(T(u,x * y),w),v5) = K(x \ (y \ (z * K(u,w))),v5). K((x \ (y \ z)) * K(u,w),v5) = K(x \ (y \ (z * K(u,w))),v5). K(x \ (y \ (z * K(u,w))),v5) = K((x \ (y \ z)) * K(u,w),v5). K(x * (y \ (z * K(u,w))),v5) = K(((x \ 1) \ (y \ z)) * K(u,w),v5). K(((x \ 1) \ (y \ z)) * K(u,w),v5) = K(x * (y \ (z * K(u,w))),v5). K(x * ((y \ z) * K(u,w)),v5) = K(x * (y \ (z * K(u,w))),v5). K(x * (y \ (z * K(u,w))),v5) = K(x * ((y \ z) * K(u,w)),v5). (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * (z \ (u * K(w,v5)))). K(x * ((y \ z) * K(u,w)),K(v5,v6)) * K(v6,(x * (y \ (z * K(u,w)))) * v5) = K(v6,v5 * (x * (y \ (z * K(u,w))))). K(x * (y \ (z * K(u,w))),v5) = K((x * (y \ K(u,w))) * z,L(v5,z,y \ 1)). K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K(x * (y \ (w * K(z,u))),v5). K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) != v6 | K((x \ 1) \ ((y * K(u,z)) \ w),v5) = v6. K((x \ 1) \ ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). K(x * ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). K(x * ((K(y,z) * u) \ w),v5) = K(x * (u \ (w * K(z,y))),v5). x != K(y * (z \ (u * K(w,v5))),v6) | K(y * ((z \ u) * K(w,v5)),v6) = x. K(x * ((y \ z) * K(u,w)),v5) = K(x * ((K(w,u) * y) \ z),v5). K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u \ w) * K(z,y)),v5). K(x * ((T(y,z) * u) \ w),v5) = K(x * (((y * u) \ w) * K(z,y)),v5). K(x * (((y * z) \ u) * K(w,y)),v5) = K(x * ((T(y,w) * z) \ u),v5). (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * ((K(v5,w) * z) \ u)). K(x,y * ((z \ u) * K(w,v5))) = K(x,y * ((K(v5,w) * z) \ u)). K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w \ v5) * K(u,z))). K(x,y \ ((K(z,u) * w) \ v5)) = K(x,(y \ 1) * ((w \ v5) * K(u,z))). K(x,(y \ 1) * ((z \ u) * K(w,v5))) = K(x,y \ ((K(v5,w) * z) \ u)). K(x,y * ((K(z,u) * w) \ v5)) != v6 | K(x,y * (w \ (K(u,z) * v5))) = v6. K(x,y * (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) * K(u,w))). K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ (K(w,v5) * z)) * y). K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) != v6 | K(x,K(v5,w) * ((u \ z) * y)) = v6. K(x,K(y,z) * ((u \ w) * v5)) = K(x,(u \ (K(z,y) * w)) * v5). K(x,(y \ (K(z,u) * w)) * v5) = K(x,K(u,z) * ((y \ w) * v5)). x != K(y,K(z,u) * (w * v5)) | K(y,w * (K(u,z) * v5)) = x. K(x,(y \ z) * (K(u,w) * v5)) = K(x,(y \ (K(u,w) * z)) * v5). K(x,(y \ (K(z,u) * w)) * v5) = K(x,(y \ w) * (K(z,u) * v5)). K(x,y * ((z \ u) * K(w,v5))) = K(x,y * (z \ (u * K(w,v5)))). K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). K(x,K(y,z) * ((u \ w) * v5)) = K(x,(u \ ((K(y,z) / w) \ 1)) * v5). K(x,(y \ ((K(z,u) / w) \ 1)) * v5) = K(x,K(z,u) * ((y \ w) * v5)). K(x,(y \ (z * K(u,w))) * v5) = K(x,K(w,u) * ((y \ z) * v5)). K(x,(y / (z / u)) * w) = K(x,K(y,u \ z) * (((z / u) \ y) * w)). K(x,K(y,z \ u) * (((u / z) \ y) * w)) = K(x,(y / (u / z)) * w). K(x,(y \ (z * T(u,w))) * v5) = K(x,K(w,u) * ((y \ (z * u)) * v5)). K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * T(z,y))) * v5). K(x,K(y,z) * ((u \ (w * y)) * v5)) = K(x,(u \ (w * T(y,z))) * v5). K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (z * w)) * (K(u,z) * v5)). K(x,(y \ (T(z,u) * w)) * v5) = K(x,(y \ (z * w)) * (K(z,u) * v5)). K(x,(y \ (z * u)) * (K(z,w) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ (T(y,z) * w)) * v5). K(x,(y \ (z * u)) * (K(w,z) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). K(x,K(y,z) * ((u \ (y * z)) * w)) != v5 | K(x,(u \ T(y * z,z)) * w) = v5. K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (T(z,u) * u)) * w). K(x,(y \ (T(z,u) * u)) * w) = K(x,(y \ T(z * u,u)) * w). K(x,(y \ (z * u)) * (K(w,z) * v5)) != v6 | K(x,(y \ (z * (K(w,z) * u))) * v5) = v6. K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (T(z,u) * w)) * v5). K(x,(y \ (z * u)) * w) = K(x,(y \ (T(u,z) * z)) * w). K(x,(y \ (T(z,u) * u)) * w) = K(x,(y \ (u * z)) * w). K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (T(u,u \ z) * w)) * v5). K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). K(x,(y \ (T(z,u) * w)) * v5) != v6 | K(x,(y \ (z * (K(u,z) * w))) * v5) = v6. K(x,(y \ (z * (K(z \ u,z) * w))) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (u * (K(u \ z,u) * w))) * v5). K(x,L(y,K(z,u) / w,v5)) != v6 | K(x,L(y,w \ K(z,u),v5)) = v6. K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z,v5 \ 1)). K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,(v5 \ 1) \ 1)). K(x,y) * K(y,L(x,z,u \ 1)) = a(y,z \ K(w,v5),K(u,x)). a(x,y \ K(z,u),K(w,v5)) = K(v5,x) * K(x,L(v5,y,w \ 1)). x != K(y,z) * K(z,L(y,u,w)) | a(z,u,K(w,y)) = x. a(x,y,K(z \ 1,u)) = a(x,y \ K(w,v5),K(z,u)). a(x,y \ K(z,u),K(w,v5)) = a(x,y,K(w \ 1,v5)). a(x,y,K(z,u)) = a(z,y \ K(w,v5),K(x,u)). a(x,y \ K(z,u),K(w,v5)) = a(w,y,K(x,v5)). a(x,y \ K(z,u),K(w,v5)) != v6 | a(w,K(u,z) * y,K(x,v5)) = v6. a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). x * a(x,y,K(z,u)) = T(x,a(u,K(w,v5) * y,z)). T(x,a(y,K(z,u) * w,v5)) = x * a(x,w,K(v5,y)). ((x * T(y,K(z,u))) * K(w,v5)) / a(x,y,K(w,v5)) = x * T(y * K(w,v5),K(z,u)). K(x,L(y,z,(z * K(y,x)) \ u)) * u != w | T((u / (z * K(y,x))) * z,K(y,x)) = w. T((x / (y * K(z,u))) * y,K(z,u)) = (K(u,z) * y) * (y \ x). T((x / y) * (y * K(z,u)),K(u,z)) = (K(z,u) * y) * (y \ x). T((K(x,y) * z) * (z \ u),K(y,x)) = (u / z) * (z * K(x,y)). T(x * ((K(y,z) * x) \ u),K(y,z)) = (u / x) * (x * K(z,y)). ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). x != K(y,z) * ((u \ 1) * w) | ((u \ 1) * w) * K(y,T(z,u \ w)) = x. ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * ((x \ 1) * K(z,y))) * K(y,z). (x * y) * z != u | a(x,y,z) * (x * (y * z)) = u. a(x / y,y * K(z,u),K(u,z)) * ((x / y) * ((y * K(z,u)) * K(u,z))) = K(u,z) * (y * ((K(u,z) * y) \ x)). a(x / y,y,K(z,u)) * ((x / y) * ((y * K(u,z)) * K(z,u))) = K(z,u) * (y * ((K(z,u) * y) \ x)). a(x \ y,x,K(z,u)) * ((y / x) * ((x * K(u,z)) * K(z,u))) = K(z,u) * (x * ((K(z,u) * x) \ y)). a(x \ y,x,K(z,u)) * ((y / x) * x) = K(z,u) * (x * ((K(z,u) * x) \ y)). a(x \ y,x,K(z,u)) * y = K(z,u) * (x * ((K(z,u) * x) \ y)). x * a(y,z,K(x \ z,u)) = K(y,u) * (z * ((K(y,u) * z) \ x)). K(x,y) * (z * ((K(x,y) * z) \ u)) = u * a(x,z,K(u \ z,y)). L(x \ R(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). K(x,L(y \ ((z / T(u,z)) \ w),w,T(u,z) \ z)) != v5 | K(x,((T(z,u) / u) * y) \ w) = v5. K(x,((T(y,z) / z) * u) \ w) = K(x,L(u \ ((y / T(z,y)) \ w),w,z \ y)). K(x,L(y \ ((z / T(u,z)) \ w),w,u \ z)) = K(x,((T(z,u) / u) * y) \ w). K(x,L(T(T(y \ z,y),u),T(y,y \ z),T(y,y \ z) \ u)) != w | K(x,((u / T(y,y \ z)) * z) / u) = w. K(x,((y / T(z,z \ u)) * u) / y) = K(x,L(T(T(z \ u,z),y),T(z,z \ u),z \ y)). K(x,L(T(T(y \ z,y),u),T(y,y \ z),y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). K(x,L(T(y \ T(z,y),u),T(y,z),T(y,z) \ u)) != w | K(x,((u / T(y,z)) * z) / u) = w. K(x,((y / T(z,u)) * u) / y) = K(x,L(T(z \ T(u,z),y),T(z,u),z \ y)). K(x,L(T(y \ T(z,y),u),T(y,z),y \ u)) = K(x,((u / T(y,z)) * z) / u). K(T(x,y) \ z,L(T(u,w),T(x,y),T(x,y) \ w)) != v5 | K((((w / x) * K(y,x)) * z) / w,u) = v5. K((((x / y) * K(z,y)) * u) / x,w) = K(T(y,z) \ u,L(T(w,x),T(y,z),y \ x)). K(T(x,y) \ z,L(T(u,w),T(x,y),x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) / x) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,K(z,y) * u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x \ 1) * ((K(y,z) / x) \ u)) * K(w,v5) != v6 | (x \ 1) * ((K(y,z) / x) \ (u * K(w,v5))) = v6. (x \ 1) * ((K(y,z) / x) \ (u * K(y,T(z,u)))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = (y \ 1) * ((K(u,z) / y) \ (K(u,z) * x)). ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) != w | x * a(x * y,y,K(z,u)) = w. x * a(x * y,y,K(z,u)) = (y \ 1) * ((K(u,z) / y) \ (K(u,z) * x)). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(u * x,x,K(z,y)). K(x,K(y,z) * ((u \ y) * w)) != v5 | K(x,(u \ T(y,z)) * w) = v5. K(x,((y / z) \ T(u,z \ y)) * w) = K(x,(u / (y / z)) * w). K(x,L(y,z,z \ u)) * (u \ K(w,v5)) != v6 | ((u / z) * (z * K(y,x))) \ K(w,v5) = v6. ((x / y) * (y * K(T(z,x),u))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). ((x / y) * (y * K(z,T(u,x)))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). (x * ((K(y,z) * x) \ u)) \ K(w,v5) = ((u \ K(w,v5)) / (x \ 1)) * (x \ K(y,z)). ((x \ K(y,z)) / (u \ 1)) * (u \ K(w,v5)) = (u * ((K(w,v5) * u) \ x)) \ K(y,z). ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (x * ((K(w,v5) * x) \ u)) \ K(z,y). ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) != v6 | (u \ K(z,y)) * K(w,L(v5,x,x \ u)) = v6. (x \ K(y,z)) * K(u,L(w,v5,v5 \ x)) = (v5 * ((K(u,w) * v5) \ x)) \ K(y,z). T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((K(y,x) / x) / w) * (w * K(z,u)). T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). T(x,y) \ K(z,L(u,w,w \ (x \ 1))) != v5 | T(x,y) \ K(z,L(u,w,x \ (w \ 1))) = v5. T(x,y) \ K(z,L(u,w,x \ (w \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (((x \ 1) / z) * (z * K(u,w))) \ 1. x != (y * (z * K(u,w))) \ 1 | (K(w,u) / z) * (y \ 1) = x. (K(x,y) / z) * (((u \ 1) / z) \ 1) = (((u \ K(w,u)) / z) * (z * K(y,x))) \ K(w,u). (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * (((x \ 1) / z) \ 1). (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * ((z \ 1) \ x). x != (K(y,z) / u) * ((u \ 1) \ w) | (u \ 1) * ((K(z,y) / u) \ w) = x. (x \ 1) * ((K(y,z) / x) \ u) = (((u \ K(w,u)) / x) * (x * K(y,z))) \ K(w,u). (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (z \ 1) * ((K(u,w) / z) \ x). K(x,(y \ (T(z,u) * u)) * w) != v5 | K(x,(y \ (u * z)) * w) = v5. K(x,(y \ (z * u)) * w) = K(x,(y \ T(u * z,z)) * w). K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (u * z)) * w). K((x * y) / z,L(u,x * y,y \ 1)) != w | K(x / (z / y),u) = w. K(x / (y / z),u) = K((x * z) / y,L(u,x,z \ 1)). K((x * y) / z,L(u,x,y \ 1)) = K(x / (z / y),u). K(x,((y * z) * (z \ 1)) \ ((z \ 1) * u)) = K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,((y * z) * (z \ 1)) \ ((z \ 1) * u)). (x * K(y / (z / u),w)) \ x = K(L(w,y,u \ 1),(y * u) / z). K(L(x,y,z \ 1),(y * z) / u) = (w * K(y / (u / z),x)) \ w. K(x,y / (z / u)) = K(L(x,y,u \ 1),(y * u) / z). K(L(x,y,z \ 1),(y * z) / u) = K(x,y / (u / z)). K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u / z)). K(x,L(y / z,u,w)) != v5 | a(w,u,K(z \ y,x)) * K(x,y / z) = v5. a(x \ 1,y,K(z \ (y * x),u)) * K(u,(y * x) / z) = K(u,y / (z / x)). a(x \ (y * z),y,K(z,u)) * K(u,(y * z) / x) = K(u,y / (x / z)). a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). a(x,y,K(z,y \ T(u,w \ v5))) * K(x,(y * z) / T(u,w * v5)) = K(x,y / (T(u,w \ v5) / z)). T(x,a(y,z,u)) = T(x,a(y,K(w,v5) * z,u)). T(x,a(y,K(z,u) * w,v5)) = T(x,a(y,w,v5)). T(x,a(y,z * K(u,w),v5)) = T(x,a(y,z,v5)). L(x,y * K(z,u),K(w,v5)) = T(x,a(v5,y,w)). L(x,y,K(z,u)) = L(x,y * K(w,v5),K(z,u)). L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). L(x,y * K(z,u),w) != v5 | L(x,K(z,u) * y,w) = v5. L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). x = L(L(x,y,K(z,u)),y,K(u,z)). L(L(x,y,K(z,u)),y,K(u,z)) = x. L(x,y,K(z,u)) * ((K(w,v5) * y) * T(K(z,u),K(v5,w) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). L(x,y,K(z,u)) * ((K(w,v5) * y) * K(z,T(u,y))) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,y)). L(x,T(y \ 1,z),K(u,z)) != w | L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = w. L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y \ 1,K(u,z)). x != L(y,z \ 1,K(u,w)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y,K(z,u)). L(x,y \ z,K(u,y * (y \ z))) = L(x,y,K(z,u)). L(x,y \ z,K(u,z)) = L(x,y,K(z,u)). (x * y) \ (L(x,z,K(u,w)) * y) = a(x,z \ u,K(w,u)). a(x,y \ z,K(u,z)) = (x * w) \ (L(x,y,K(z,u)) * w). x != (y * z) \ (L(y,u,K(w,v5)) * z) | a(y,u,K(w,v5)) = x. a(x,y,K(z,u)) = a(x,y \ z,K(u,z)). a(x,y \ z,K(u,z)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(u,y \ x,K(z,x)). a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,x \ (u * x),K(z,u * x)). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,T(u,x),K(z,u * x)). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,u,K(z,u * x)). a(x,y,K(z,u)) = a(x,y,K(z * K(w,v5),u)). a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). a(K(x,y) * z,u,K(w,v5)) = a(w,u,K(z,v5 \ 1)). x * a(x,y,K(z,u)) = T(x,a(u,y,K(w,v5) * z)). T(x,a(y,z,K(u,w) * v5)) = x * a(x,z,K(v5,y)). a(x,y,K(z,u)) = a(K(w,v5) * x,y,K(z,u)). a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). a(K(x,y) * (z * x),u,w) != v5 | a(z * T(x,y),u,w) = v5. a(x * T(y,z),u,K(w,v5)) = a(x * y,u,K(w,v5)). x * (K(y,z) * a(x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). x * (y * a(x,z,K(u,w))) != v5 | T(x,a(w,z,u)) * y = v5. T(x,a(y,z,u)) * K(w,v5) = T(x * K(w,v5),a(y,z,u)). L(x,y,K(z,u)) * K(w,v5) = T(x * K(w,v5),a(u,y,z)). L(x * K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) * K(y,z). L(x,y,K(z,u)) * K(w,v5) = L(x * K(w,v5),y,K(z,u)). ((x * y) * K(z,T(u,y))) \ (L(x * K(w,v5),y,K(z,u)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). ((x * y) * K(z,T(u,y))) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,T(u,y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). (a(x * y,z,K(u,w)) * v5) \ v5 = a(w,z,K(u,x * T(y,v6))). a(x,y,K(z,u * T(w,v5))) = (a(u * w,y,K(z,x)) * v6) \ v6. x != (a(y,z,K(u,w)) * v5) \ v5 | a(w,z,K(u,y)) = x. a(x,y,K(z,u * w)) = a(x,y,K(z,u * T(w,v5))). a(x,y,K(z,u * T(w,v5))) = a(x,y,K(z,u * w)). a(x,y,K(z,u * T(w,v5))) != v6 | K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = v6. K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * w)). K(x \ y,z \ T(u \ 1,w)) != v5 | K(y \ x,T(u,w) * z) = v5. K(x \ L(x,y,z),T(u,w) * v5) = a(x,y,K(z,v5 * u)). K(x \ L(x,y,z),u) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,T(u,w) * v5)) = a(x,y,K(z,v5 * u)). x * a(x,y,K(z,u * w)) = T(x,a(T(w,v5) * u,y,z)). T(x,a(T(y,z) * u,w,v5)) = x * a(x,w,K(v5,u * y)). T(x,a(y * z,u,w)) = T(x,a(T(z,v5) * y,u,w)). T(x,a(T(y,z) * u,w,v5)) = T(x,a(u * y,w,v5)). T(x,a(T(y,z) \ u,w,v5)) = T(x,a(u * (y \ 1),w,v5)). x != T(y,a(z * (u \ 1),w,v5)) | T(y,a(u \ z,w,v5)) = x. T(x,a(y \ z,u,w)) = T(x,a(T(y,v5) \ z,u,w)). T(x,a(T(y,z) \ u,w,v5)) = T(x,a(y \ u,w,v5)). L(x,y,K(z,T(u,w) \ v5)) = T(x,a(u \ v5,y,z)). L(x,y,K(z,u \ w)) = L(x,y,K(z,T(u,v5) \ w)). L(x,y,K(z,T(u,w) \ v5)) = L(x,y,K(z,u \ v5)). a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,w \ v5)). x != y \ L(y,z,K(u,w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u \ w)) = a(x,y,K(z,((v5 * u) / v5) \ w)). a(x,y,K(z,((u * w) / u) \ v5)) = a(x,y,K(z,w \ v5)). a(x,y,K(z,u \ w)) = a(x,y,K(z,T(u,v5) \ w)). a(x,y,K(z,T(u,w) \ v5)) = a(x,y,K(z,u \ v5)). a(x,y,K(z,u \ T(w,v5))) = a(z,y,K(x,w \ u)). a(x,y,K(z,u \ y)) * K(z,(y * x) / T(u,w)) = K(z,y / (T(u,w) / x)). a(x,y,K(z,y \ T(u,w))) * K(x,(y * z) / T(u,v5)) = K(x,y / (T(u,v5) / z)). a(x,y,K(z,y \ T(u,w \ v5))) * K(x,(y * z) / T(u,w * v5)) != v6 | K(x,y / (T(u,w \ v5) / z)) = v6. K(x,y / (T(z,u \ w) / v5)) = K(x,y / (T(z,u * w) / v5)). K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). K((x \ y) * (z * K(x,u)),w) != v5 | K((y * T(y \ (x \ y),u)) * z,w) = v5. K((x * T(x \ (y \ x),z)) * u,w) = K((T(y,z) \ x) * u,w). K(x * y,z) != u | K(y * x,z) * K(y,K(x,z)) = u. K(x * (y * T(y \ (z \ y),u)),w) * K(x,K(y * T(y \ (z \ y),u),w)) = K((T(z,u) \ y) * x,w). K((x * T(x \ (y \ x),x)) * z,u) = K((y \ T(x,y)) * z,u). K((x \ T(y,x)) * z,u) = K((y * T(y \ (x \ y),y)) * z,u). K((T(x \ 1,y) * z) * u,w) = K((T(x,y) \ L(z,x \ 1,x)) * u,w). K((T(x,y) \ L(z,x \ 1,x)) * u,w) = K((T(x \ 1,y) * z) * u,w). K(((T(x,y) \ 1) \ z) * u,w) = K((T(x \ 1,y) \ z) * u,w). K(x * (T(y,z \ 1) \ u),w) * K(x,K(u * T(u \ (y \ u),z),w)) = K((T(y,z) \ u) * x,w). K(x * (T(y,z \ 1) \ u),w) * K(x,K(T(y,z) \ u,w)) = K((T(y,z) \ u) * x,w). K(x * (T(y,z) \ u),w) = K(x * (T(y,z \ 1) \ u),w). K(x * (T(y,z \ 1) \ u),w) = K(x * (T(y,z) \ u),w). K((x \ T(y,x)) * z,u) = K(((y \ (x \ y)) * y) * z,u). x != K(((y \ z) * y) * u,w) | K(T(z,y) * u,w) = x. K(T(x \ y,y) * z,u) = K((x \ T(y,x)) * z,u). K(T(x \ y,y) * z,u) != w | K((y / x) * z,u) = w. K((x / y) * z,u) = K((y \ T(x,y)) * z,u). K((x \ T(y,x)) * z,u) = K((y / x) * z,u). K((T(x,y) \ y) * z,u) = K((y / x) * z,u). K((T(T(x,y),T(y,z)) \ u) * w,v5) != v6 | K((x \ u) * w,v5) = v6. K((x \ T(y,z)) * u,w) = K((T(y,z) / T(x,y)) * u,w). K((T(x,y) / T(z,x)) * u,w) = K((z \ T(x,y)) * u,w). K((T(x,T(y,z)) \ u) * w,v5) != v6 | K((T(x,y) \ u) * w,v5) = v6. K((T(x,y) \ T(y,z)) * u,w) = K((T(y,z) / x) * u,w). K((T(x,y) \ T(y,x)) * z,u) != w | K((x \ y) * z,u) = w. K((x \ y) * z,u) = K((T(y,x) / x) * z,u). K((T(x,y) / y) * z,u) = K((y \ x) * z,u). K((x / T(y,x)) * z,u) = K((y \ x) * z,u). K(x,((T(y,z) / z) * u) \ w) * K(x,K((z \ y) * u,w)) = K(x,w / ((T(y,z) / z) * u)). K((x \ y) * K((z \ T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K((T(u,w) / T(z,u)) * v5,v6)),v7) = v8. K(x,K(y,z * ((u \ w) * K(v5,v6)))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). K(x,K(y,z * (u \ w))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). K(x,L(y,z,u)) = K(x,L(y,K(w,v5) * z,u)). K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,y \ (x \ 1))) != v5 | K(z \ ((y * x) \ u),w) = v5. K(x \ ((y * z) \ u),w) = K(((z * y) * x) \ (K(z,y) * u),L(w,u,y \ (z \ 1))). K(((x * y) * z) \ (K(x,y) * u),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). K(x,L(y,z * u,w)) = K(x,L(y,z * (K(v5,v6) * u),w)). K(x,L(y,z * (K(u,w) * v5),v6)) = K(x,L(y,z * v5,v6)). K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). K(x,L(y,z / u,w)) = K(x,L(y,u \ z,w)). K(x,L(y,z,u)) = K(x,L(y,(z \ w) \ w,u)). K(x,L(y,(z \ u) \ u,w)) = K(x,L(y,z,w)). K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). K(x,L(y,((z \ u) * z) * w,v5)) = K(x,L(y,u * w,v5)). K(x,L(y,(T(z,u) * w) * v5,v6)) = K(x,L(y,(z * w) * v5,v6)). K(x,(y * T(z,u)) / (y * (w \ T(z,u)))) = K(x,L(T(T(w,z),z * y),z,y)). K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * T(z,w)) / (u * (y \ T(z,w)))). K(x,L(T(y \ T(z,y),u),T(y,z),y \ u)) != w | K(x,((u / T(y,z)) * z) / u) = w. K(x,((y / T(z,u)) * u) / y) = K(x,L(T(z \ T(u,z),y),z,z \ y)). K(x,L(T(y \ T(z,y),u),y,y \ u)) = K(x,((u / T(y,z)) * z) / u). K(x,L((y \ z) \ u,T(z,y \ 1),y)) != w | K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)) = w. K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)) = K(x,L((z \ y) \ u,y,z)). K((x \ T(y,z)) \ u,w) = K(T(y,z) \ (x * u),L(w,y,x \ 1)). K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,y)) \ u,w). K(x,L((y / z) / u,u,z)) != w | K(x,y / (u * z)) = w. K(x,y / (T(z,u) * w)) = K(x,L((y / w) / T(z,u),z,w)). K(x,L((y / z) / T(u,w),u,z)) = K(x,y / (T(u,w) * z)). K(x,L(T((y * z) / y,u),T(K(z,y) * w,z),v5)) != v6 | K(x,L(T((y * z) / y,u),w * z,v5)) = v6. K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T((y * z) / y,u),K(z,y) * w,v5)). K(x,L(T((y * z) / y,u),K(z,y) * w,v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). x != K(y,L((z \ u) \ w,u,z)) | K(y,u \ (z * w)) = x. K(x,y \ (z * u)) = K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)). K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)) = K(x,y \ (z * u)). K(x,T(y,z \ 1) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z) \ ((y \ (z \ y)) \ u)) = K(x,y \ (z * u)). K(x,T(a(y,y \ 1,(y \ 1) \ z),(y * z) \ 1) \ ((a(y,y \ 1,(y \ 1) \ z) \ ((y \ 1) \ z)) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ ((a(y,y \ 1,(y \ 1) \ z) \ ((y \ 1) \ z)) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ (L((y \ 1) \ z,y \ 1,y) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) != w | K(x,((z \ 1) / y) * u) = w. K(x,((y \ 1) / z) * u) = K(x,a(z,z \ 1,(z \ 1) \ y) \ ((z * y) \ u)). K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) = K(x,((z \ 1) / y) * u). K(x,L((y / z) / a(u \ 1,u,w),a(u \ 1,u,w),z)) = K(x,y / (T(a(u \ 1,u,w),v5) * z)). K(x,L(a(y \ 1,y,z) \ (u / w),a(y \ 1,y,z),w)) = K(x,u / (T(a(y \ 1,y,z),v5) * w)). K(x,((y / z) * T(u,z)) / y) = K(x,((y / T(z,u)) * u) / y). K(x,((y / T(z,u)) * u) / y) = K(x,((y / z) * T(u,z)) / y). K(x,L(T(y \ z,u),(y \ z) \ z,z \ u)) != w | K(x,u / ((u / z) * y)) = w. K(x,y / ((y / z) * u)) = K(x,L(T(u \ z,y),u,z \ y)). K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). K(x,L(T(y \ (z * (u \ K(w,v5))),1),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). K(x,L(y \ (z * (u \ K(w,v5))),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). K(x,L(y \ (z * (u \ K(w,v5))),y,z \ (K(v5,w) * u))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). K(x,L(y,z,u \ (K(w,v5) * v6))) != v7 | K(x,L(y,z,u \ v6)) = v7. K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). x != K(y,1 / ((1 / z) * u)) | K(y,u \ z) = x. K(x,y \ (z * (u \ K(w,v5)))) = K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)). K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,y \ (z * (u \ K(w,v5)))). K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) != v6 | K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))) = v6. K(x,((y * (z \ 1)) \ u) \ K(w,L(v5,z,y \ 1))) = K(x,u \ (y * (z \ K(w,v5)))). K(x,((y * (z \ 1)) \ u) \ K(w,v5)) = K(x,u \ (y * (z \ K(w,v5)))). K(x \ (K(y,z) * u),w) != v5 | K((x \ u) * K(y,z),w) = v5. K((((x * y) * z) \ u) * K(x,y),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). K((((x * y) * z) \ u) * K(w,y),v5) != v6 | K(((x * T(y,w)) * z) \ u,v5) = v6. K(((x * T(y,x)) * z) \ u,L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ ((x * y) \ u),w). K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) != v5 | K(z \ (T(y * x,y) \ u),w) = v5. K(x \ (T(y * z,y) \ u),w) = K(x \ ((z * y) \ u),w). K(x * (T(y * z,y) \ u),w) = K((x \ 1) \ ((z * y) \ u),w). K((x \ 1) \ ((y * z) \ u),w) = K(x * (T(z * y,z) \ u),w). K(x * ((y * z) \ u),w) = K(x * (T(z * y,z) \ u),w). K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). K(x * (T(y,z \ 1) \ u),w) != v5 | K(x * (T(y,z) \ u),w) = v5. K(x * (T((y \ 1) * z,y) \ u),w) = K(x * ((z * (y \ 1)) \ u),w). K(x * (T((y \ 1) * z,y) \ u),w) != v5 | K(x * (L(z / y,y,y \ 1) \ u),w) = v5. K(x * (L(y / z,z,z \ 1) \ u),w) = K(x * ((y * (z \ 1)) \ u),w). K(x * (T((y \ 1) * (z * y),y) \ u),w) != v5 | K(x * (L(z,y,y \ 1) \ u),w) = v5. K(x * (L(y,z,z \ 1) \ u),w) = K(x * (((y * z) * (z \ 1)) \ u),w). K(x * (((y * z) * (z \ 1)) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). K(x * (T(((y \ 1) * K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). K(x * (R(y,z,z \ 1) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). K(R(x,y,y \ 1) \ z,u) = K(a(w,v5,w) * (L(x,y,y \ 1) \ z),u). K(a(x,y,x) * (L(z,u,u \ 1) \ w),v5) = K(R(z,u,u \ 1) \ w,v5). K(x * (y \ z),L(u,z,y)) != w | K((x * (y \ 1)) * z,u) = w. K((x * (R(y,z,z \ 1) \ 1)) * u,w) = K(x * (L(y,z,z \ 1) \ u),L(w,u,R(y,z,z \ 1))). K(x * (L(y,z,z \ 1) \ u),L(w,u,R(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). K(L(x,y,y \ 1) \ z,u) = K(R(x,y,y \ 1) \ z,u). K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). K(L(x,y \ 1,y) * z,u) = K(L(x \ 1,y,y \ 1) \ z,u). K(L(x \ 1,y,y \ 1) \ z,u) = K(L(x,y \ 1,y) * z,u). (x * K(L(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). K(x,L(y,z,z \ 1) \ u) = K(x,(z * ((y * z) \ 1)) * u). K(x,(y * ((z * y) \ 1)) * u) = K(x,L(z,y,y \ 1) \ u). K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). K(x,(y * (z \ 1)) * u) = K(x,L(z / y,y,y \ 1) \ u). K(x,L(y / z,z,z \ 1) \ u) = K(x,(z * (y \ 1)) * u). T(K(x,L(y,z,z \ 1) \ u),y \ 1) = K(x,u / R(y,z,z \ 1)). K(x,R(y,z,z \ 1) \ u) != w | K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = w. K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,L(y,z,z \ 1) \ u). K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) != w | K(x,a(y,z,z \ 1) \ (y \ u)) = w. K(x,a(y,z,z \ 1) \ (y \ u)) = K(x,L(y,z,z \ 1) \ u). K(x,T(L(y,z,z \ 1) \ u,y)) = K(x,u / R(y,z,z \ 1)). K(x,y / L(z,u,u \ 1)) = K(x,y / R(z,u,u \ 1)). K(x,y / R(z,u,u \ 1)) = K(x,y / L(z,u,u \ 1)). K(x,L(y,z,u)) * K(w,L(v5,z,u)) = L(K(w,v5) * K(x,y),z,u). T(x,a(y,z,u)) = T(x,a(y,z,K(w,v5) * u)). T(x,a(y,z,K(u,w) * v5)) = T(x,a(y,z,v5)). T(x,a(y,z,u * K(w,v5))) = T(x,a(y,z,u)). L(x,y,K(z * K(u,w),v5)) = T(x,a(v5,y,z)). L(x,y,K(z,u)) = L(x,y,K(z * K(w,v5),u)). L(x,y,K(z * K(u,w),v5)) = L(x,y,K(z,v5)). L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). L(x,y,K(K(z,u) * w,w * v5)) != v6 | L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = v6. L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,w * v5)). x != L(y,z,K(u,u * w)) | L(y,z,K(u,w)) = x. L(x,y,K(z,u)) = L(x,y,K(K(w,v5) * z,K(v5,T(w,z)) * u)). L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,v5)). L(x,y,K(K(z,u) * w,K(z,u) * v5)) = L(x,y,K(w,v5)). K(x,(y * z) * (u * K(w,v5))) = K(x,(y * (z * K(v5,w))) * u). K(x,(y * (z * K(u,w))) * v5) = K(x,(y * z) * (v5 * K(w,u))). K(x,(y * (z \ K(u,w))) * v5) = K(x,(y * (z \ 1)) * (v5 * K(w,u))). K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(y * (z \ K(v5,w))) * u). K(x,(y * (z \ (u * K(w,v5)))) * v6) = K(x,(y * (z \ u)) * (v6 * K(L(v5,u,z \ 1),w))). K(x,(y * (z \ u)) * (w * K(L(v5,u,z \ 1),v6))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). K(x,(y * (z \ u)) * (w * K(v5,L(v6,u,z \ 1)))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). K(x,K(y,z) * ((u * (w \ v5)) * v6)) = K(x,(u * (w \ (v5 * K(y,z)))) * v6). K(x,(y * (z \ (u * K(w,v5)))) * v6) = K(x,K(w,v5) * ((y * (z \ u)) * v6)). K(x,K(y,z * (u \ w))) * K(y,K(v5,v6) * ((z * (u \ w)) * x)) = K(y,x * (z * (u \ (w * K(v5,v6))))). K(x,K(y,z)) * K(y,K(u,w) * (z * x)) != v5 | K(y,x * (z * K(w,u))) = v5. K(x,y * ((z * (u \ w)) * K(v5,v6))) = K(x,y * (z * (u \ (w * K(v6,v5))))). K(x,y * (z * ((u \ w) * K(v5,v6)))) = K(x,y * (z * (u \ (w * K(v6,v5))))). K(x,y * (z * (u \ (w * K(v5,v6))))) = K(x,y * (z * ((u \ w) * K(v6,v5)))). K(x,y * (z * (u \ T(w,v5)))) = K(x,y * (z * ((u \ w) * K(v5,w)))). K(x,y * (z * ((u \ w) * K(v5,w)))) = K(x,y * (z * (u \ T(w,v5)))). K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ T(u,z)))). K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ T(w * v5,w)))). K(x,y * (K(z,u) * (w * (v5 \ u)))) != v6 | K(x,y * (w * (v5 \ (z * (u / z))))) = v6. K(x,y * (z * (u \ (w * (v5 / w))))) = K(x,y * (z * (u \ T(v5,w)))). K(x,y * (z * (u \ (w * ((L(w,v5,w) * v5) / w))))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (z * (u \ (w * ((w * v5) / R(w,v5,w)))))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (z * (u \ (w * (v5 * K(w,w * v5)))))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (z * (u \ (T(w,v5 * w) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (z * (u \ (T(w,w * v5) * v5)))) != v6 | K(x,y * (z * (u \ T(w * v5,w)))) = v6. K(x,y * (z * (u \ T(w * v5,w)))) = K(x,y * (z * (u \ (v5 * w)))). K(x,y * (T(z,u \ (w * v5)) * (u \ T(v5 * w,v5)))) != v6 | K(x,y * ((u \ T(v5 * w,v5)) * z)) = v6. K(x,y * ((z \ T(u * w,u)) * v5)) = K(x,y * (T(v5,z \ (w * u)) * (z \ (w * u)))). K(x,y * (T(z,u \ (w * v5)) * (u \ (w * v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). K(x,y * (T(z,u) * u)) != w | K(x,y * (u * z)) = w. K(x,y * ((z \ (u * w)) * v5)) = K(x,y * ((z \ T(w * u,w)) * v5)). K(x,y * ((z \ T(u * w,u)) * v5)) = K(x,y * ((z \ (w * u)) * v5)). K(x,L(y,T(z,u),w)) != v5 | K(x,L(y,z,w)) = v5. K(x,L(T(T(y \ z,y),u),y,y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). K((x * (y / z)) \ u,w) = K((y / z) \ (x \ u),L(w,z \ y,x)). K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (x / y)) \ u,w). x != K(y * (z * (u * K(w,v5))),v6) | K(y * ((z * u) * K(w,v5)),v6) = x. K(x * (((y \ 1) * z) * K(u,w)),v5) = K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)). K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w)),v5). K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w \ 1)),v5). K((x / y) * (z * K(u,y)),w) != v5 | K((x / T(y,u)) * z,w) = v5. K((x / T(y,z)) * u,L(w,u,y \ 1)) = K(x * (((y \ 1) * u) * K(z,y \ 1)),w). K(x * ((T(y,z) \ 1) * u),w) = K(x * (((y \ 1) * u) * K(z,y \ 1)),w). K(x * (((y \ 1) * z) * K(u,y \ 1)),w) = K(x * ((T(y,u) \ 1) * z),w). K(x * ((y \ 1) * (z * K(u,y \ 1))),w) = K(x * ((T(y,u) \ 1) * z),w). K(x * (y * (z * K(u,y))),w) != v5 | K(x * (T(y,u) * z),w) = v5. K(x * (T(y \ 1,z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). K(x * ((T(y,z) \ 1) * u),w) = K(x * (T(y \ 1,z) * u),w). K(x * ((((y \ z) \ z) \ 1) * u),w) = K(x * (T(y \ 1,y \ z) * u),w). K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((((y \ z) \ z) \ 1) * u),w). K(x * (((((y * z) \ z) \ z) \ 1) * u),w) = K(x * (T((y * z) \ 1,y \ 1) * u),w). K(x * (T((y * z) \ 1,y \ 1) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). (x * K(y * (T(z \ 1,u) * w),v5)) \ x = K(v5,y * ((T(z,u) \ 1) * w)). K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T((y \ 1) \ 1,z) * u),w). K(x,y * (T(z \ 1,u) * w)) = K(x,y * ((T(z,u) \ 1) * w)). K(x,y * ((T(z,u) \ 1) * w)) = K(x,y * (T(z \ 1,u) * w)). K(x,y \ ((T(z,u) \ 1) * w)) = K(x,(y \ 1) * (T(z \ 1,u) * w)). K(x,(y \ 1) * (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). K(x,y * ((T(z,u) \ 1) * ((T(z \ 1,u) * w) / T(z \ 1,u)))) = K(x,y * (T(T(z \ 1,u),w) * w)). K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * ((T(z \ 1,u) * w) / T(z \ 1,u)))). K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). K(x,y \ ((T(z,u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,z \ u) * w)). K(x,y \ (T(z \ 1,z \ u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). K(x,y \ (T(z,u \ w) * v5)) != v6 | K(x,y \ (T(z,u * w) * v5)) = v6. K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). K(x,y \ (T(z \ 1,z * u) * w)) != v5 | K(x,y \ (T(z \ 1,u) * w)) = v5. K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,((z \ u) \ u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z,u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z \ 1,u)) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). K(x,T((y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,z \ 1) * ((((z \ u) \ u) \ 1) * w)),u)) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). K(x,L(x \ y,z,u)) = K(x,L(x \ y,y * z,u)). K(x,L(x \ y,y * z,u)) = K(x,L(x \ y,z,u)). K(x,L(x \ y,y * z,u)) != w | ((y * z) * u) / ((((x \ y) * x) * z) * u) = w. ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,y,z)). ((x * y) * z) / ((((u \ x) * u) * y) * z) != w | K(u,u \ R(x,y,z)) = w. K(x,x \ R(y,z,u)) = K(x,L(x \ y,z,u)). K(x,L(y,z,u)) * K(y,L(y \ x,z,u)) = a(y,y \ R(x,z,u),y). K(x,L(y,z,u)) * K(w,L(v5,z,u)) != v6 | L(K(w,v5) * K(x,y),z,u) = v6. L(K(x,x \ y) * K(y,x),z,u) = a(x,x \ R(y,z,u),x). L(a(x,x \ y,x),z,u) = a(x,x \ R(y,z,u),x). a(x,x \ R(y,z,u),x) != w | a(x,x \ y,x) = w. a(x,x \ (y \ 1),x) = a(x,x \ ((y * z) \ z),x). a(x,x \ ((y * z) \ z),x) = a(x,x \ (y \ 1),x). (x \ R(x,y,x)) \ z != u | R(x,y,x) \ (x * z) = u. R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * L(u,z,K(y,x))). R(x,y,x) \ (x * z) != u | z * (R(x,y,x) \ x) = u. ((K(x,y) * z) * u) * (R(x,y,x) \ x) = K(x,x * y) * (z * L(u,z,K(y,x))). K(x,x * y) * (z * L(u,z,K(y,x))) = ((K(x,y) * z) * u) * (R(x,y,x) \ x). T(x,(K(y,y * z) * (u * L(w,u,K(z,y)))) \ 1) = T(x,(y * ((K(y,z) * u) * w)) \ R(y,z,y)). T(x,(((K(y,z) * u) * w) * (R(y,z,y) \ y)) \ 1) = T(x,(u * L(w,u,K(z,y))) \ (K(y,y * z) \ 1)). K(x,((K(y,z) * (u \ (y * z))) * w) * (R(y,z,y) \ y)) = K(x,(u \ T(y * z,y)) * L(w,u \ (y * z),K(z,y))). K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,((K(z,u) * (y \ (z * u))) * w) * (R(z,u,z) \ z)). x != K(y,z * (R(u,w,u) \ u)) | K(y,z) = x. K(x,(K(y,z) * (u \ (y * z))) * w) = K(x,(u \ T(y * z,y)) * L(w,u \ (y * z),K(z,y))). K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(K(z,u) * (y \ (z * u))) * w). K(x * (K(y,z) * (u \ K(y,z))),w) != v5 | K(x / u,w) = v5. K((x / T(y,x)) / z,u) = K((y \ x) * (K(w,v5) * (z \ K(w,v5))),u). (x * K(y / z,u)) \ x = K(u,y / (z * a(w,v5,K(v6,v7)))). K(x,y / (z * a(u,w,K(v5,v6)))) = (v7 * K(y / z,x)) \ v7. (x * y) / (K(z \ u,x) * y) = T(x,z \ (a(w,v5,K(v6,v7)) * u)). T(x,y \ (a(z,u,K(w,v5)) * v6)) = (x * v7) / (K(y \ v6,x) * v7). x != K(y,(K(z,u) * w) * v5) | K(y,K(u,z) * (w * v5)) = x. K(x,K(y,z) * ((u \ (z * y)) * w)) = K(x,(u \ T(z * y,z)) * L(w,u \ (z * y),K(y,z))). K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,K(u,z) * ((y \ (z * u)) * w)). x != K(y,K(z,u) * ((w \ (u * z)) * v5)) | K(y,(w \ T(u * z,z)) * v5) = x. K(x,(y \ T(z * u,u)) * w) = K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))). K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(y \ T(z * u,u)) * w). K(x,y * L(z,u,K(w,v5))) != v6 | K(x,y * z) = v6. K(x,(y \ T(z * u,z)) * w) = K(x,(y \ T(z * u,u)) * w). K(x,(y \ T(z * u,u)) * w) = K(x,(y \ T(z * u,z)) * w). K(x,(y \ T(z * u,u)) * w) != v5 | K(x,(y \ (u * z)) * w) = v5. K(x,(y \ (z * u)) * w) = K(x,(y \ T(u * z,u)) * w). K(x,(y \ T(z * u,z)) * w) = K(x,(y \ (u * z)) * w). x != K(y,(z \ (u * (K(u \ w,u) * v5))) * v6) | K(y,(z \ ((w / (w / u)) * v5)) * v6) = x. K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ T((K(u \ z,u) * w) * u,K(u \ z,u) * w)) * v5). K(x,(y \ T((K(z \ u,z) * w) * z,K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). K(x,(y \ T(K(z \ u,z) * (w * z),K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). K(x,(y \ T(z,K(u,w) * v5)) * v6) != v7 | K(x,(y \ T(z,v5)) * v6) = v7. K(x,(y \ T(K(z \ u,z) * (w * z),w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). x != K(y * (K(z,u) * (w \ K(z,u))),v5) | K(y / w,v5) = x. K((x \ y) / z,u) = K((y / T(x,y)) / z,u). K((x / T(y,x)) / z,u) = K((y \ x) / z,u). K(x \ (y / T(z,y)),u) = K((z \ y) / x,T(u,z \ y)). K((x \ y) / z,T(u,x \ y)) = K(z \ (y / T(x,y)),u). K(x \ (y \ z),u) = K(x \ (z / T(y,z)),u). K(x \ (y / T(z,y)),u) = K(x \ (z \ y),u). T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(z / T(y,z),u)) = K(u,x \ (z / T(y,z))). T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(y \ z,u)) = K(u,x \ (z / T(y,z))). K(x,y \ (z \ u)) = K(x,y \ (u / T(z,u))). K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). K(x,y \ (T(z,u) / u)) = K(x,y \ (u \ z)). K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,y)) * z) / w,u). K(x / y,L(T(z,u),y,y \ u)) = K(((u / T(y,x)) * x) / u,z). K(((x / T(y,z)) * z) / x,u) = K(z / y,L(T(u,x),y,y \ x)). K(T(x,x \ y) \ z,u) != w | K(T(x,y) \ z,u) = w. K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,x \ y)) * z) / w,u). K(T(x,y) \ z,L(T(u,w),x,x \ w)) != v5 | K(((w / T(x,y)) * z) / w,u) = v5. K(((x / T(y,z)) * u) / x,w) = K(((x / T(y,y \ z)) * u) / x,w). K(((x / T(y,y \ z)) * u) / x,w) = K(((x / T(y,z)) * u) / x,w). (x * K(((y / T(z,u)) * w) / y,v5)) \ x = K(v5,((y / T(z,z \ u)) * w) / y). K(x,((y / T(z,z \ u)) * w) / y) = (v5 * K(((y / T(z,u)) * w) / y,x)) \ v5. K(x,((y / T(z,u)) * w) / y) = K(x,((y / T(z,z \ u)) * w) / y). K(x,((y / T(z,z \ u)) * w) / y) = K(x,((y / T(z,u)) * w) / y). x != K(y / z,L(T(u,w),z,z \ w)) | K(((w / z) * T(y,z)) / w,u) = x. K(((x / y) * T(z,y)) / x,u) = K(((x / T(y,z)) * z) / x,u). K(((x / T(y,z)) * z) / x,u) = K(((x / y) * T(z,y)) / x,u). K(x * (T(y,z * T(u,w)) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z \ 1) * u),w). K(x * ((y / z) * u),w) = K(x * (T(z \ y,z) * u),w). K(x * (T(y \ z,y) * u),w) = K(x * ((z / y) * u),w). K(x * (T((y \ 1) * z,y) * u),w) = K(x * ((L(z,y \ 1,y) / y) * u),w). K(x * ((L(y,z \ 1,z) / z) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). K(((x * y) \ z) * K(u,u * w),L(v5,z,x \ 1)) = K(y \ (T(K(u * w,u) * x,K(u,w)) \ z),v5). K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(((u * x) \ w) * K(y,y * z),L(v5,w,u \ 1)). x != K(y * K(z,z * u),w) | K(K(u,z) * y,w) = x. K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K(u \ (T(K(y * x,y) * z,K(y,x)) \ w),v5). K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(K(z,y) * ((u * x) \ w),L(v5,w,u \ 1)). K(x \ ((y * K(z * u,z)) \ w),v5) = K(K(u,z) * ((y * x) \ w),L(v5,w,y \ 1)). K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,x \ y)) \ u,w). K(T(x,y) \ (z * u),L(w,x,z \ 1)) != v5 | K((z \ T(x,y)) \ u,w) = v5. K((x \ T(y,z)) \ u,w) = K((x \ T(y,y \ z)) \ u,w). K((x \ T(y,y \ z)) \ u,w) = K((x \ T(y,z)) \ u,w). K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,z \ u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). (x * K((y \ T(z,u)) \ w,v5)) \ x = K(v5,(y \ T(z,z \ u)) \ w). K(x,(y \ T(z,z \ u)) \ w) = (v5 * K((y \ T(z,u)) \ w,x)) \ v5. K(x,(y \ T(z,u)) \ w) = K(x,(y \ T(z,z \ u)) \ w). K(x,(y \ T(z,z \ u)) \ w) = K(x,(y \ T(z,u)) \ w). K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,z \ u)) \ w) != v6 | K(x,((y \ T(z,z \ u)) \ w) \ 1) = v6. K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,u)) \ w). K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). K(x,((y \ T(z,u)) \ w) \ 1) = K(x,((y \ T(z,z \ u)) \ w) \ 1). K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,((y \ T(z,u)) \ w) \ 1). K(x,y \ (z \ T(u,w))) = K(x,((z \ T(u,u \ w)) \ y) \ 1). K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,w \ (y \ T(z,u))). K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) != v5 | K(x,y \ (T(u,u \ w) / z)) = v5. K(x,y \ (T(z,z \ u) / w)) = K(x,y \ (T(w,T(z,u)) \ T(z,u))). K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (T(u,u \ w) / z)). K(x,y \ (T(z,u) \ u)) != w | K(x,y \ (u / z)) = w. K(x,y \ (T(z,u) / w)) = K(x,y \ (T(z,z \ u) / w)). K(x,y \ (T(z,z \ u) / w)) = K(x,y \ (T(z,u) / w)). K(x,x \ (T(y,y \ z) / z)) != u | a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = u. a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,z) / z)). x != K(y,z \ (T(u,w) / w)) | K(y,z \ (w \ u)) = x. K(x,x \ (y \ z)) = a(x,x \ (((z \ y) * z) \ z),x) * K(x,y \ z). a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (z \ y)). a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ (z \ y)). a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) != u | K(x,(x \ (z \ 1)) * y) = u. K(x,(x \ (y \ 1)) * z) = K(x,x \ (y \ z)). x != K(y,z \ ((u \ 1) \ w)) | T(z \ K(z \ ((u \ 1) \ w),y),u * w) \ T(z \ 1,T(u * w,y)) = x. T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ ((y \ 1) \ 1)) * z). T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,(x \ y) * z). T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) != u | K(x,y * (x \ z)) = u. K(x,y * (x \ z)) = K(x,(x \ y) * z). K(x,(x \ y) * z) = K(x,y * (x \ z)). K(x \ K(y,z * (y \ u)),(y \ z) * u) = K(x,((y \ z) * u) \ 1). K(x,L(y,K(z,u) * w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,L(T((y * z) / y,u),w,v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T((y * z) / y,u),w,v5)). x != K(y,L(T((z * u) / z,w),v5,v6)) | K(y,L(T(T(u,w),z),v5,v6)) = x. K(x,L(T(T(y,z),u),w,v5)) = K(x,L(T((u * y) / u,z),w * y,v5)). K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T(T(z,u),y),w,v5)). K(x,L(T(T(y,z),u),w * y,v5)) = K(x,L(T(T(y,z),u),w,v5)). K(x,L(T(T(y,z),(z * y) * u),z * y,u)) != w | K(x,(z * u) \ ((z * y) * u)) = w. K(x,(y * z) \ ((y * u) * z)) = K(x,L(T(T(u,y),(y * u) * z),y,z)). K(x,L(T(T(y,z),(z * y) * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,L(T(T(y,z),(u * y) * w),u,w)) != v5 | K(x,L(T(T(y,z),u * w),u,w)) = v5. K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,(y * z) / (y * (u \ z))) = K(x,(z * y) \ ((z * u) * y)). K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). K((x * y) \ (z * y),u) = K(x \ z,(z * y) \ ((z * u) * y)). K(x \ y,(y * z) \ ((y * u) * z)) = K((x * z) \ (y * z),u). K(x,(y * z) / (y * (u \ z))) != w | (y * (K(x,u) * z)) / (y * z) = w. (x * (K(y,z) * u)) / (x * u) = K(y,(u * x) \ ((u * z) * x)). K(x,((y \ z) * y) / ((y \ z) * (u \ y))) != w | K(x,((z / y) * (u * y)) / z) = w. K(x,((y / z) * (u * z)) / y) = K(x,(z * (z \ y)) \ ((z * u) * (z \ y))). K(x,(y * (y \ z)) \ ((y * u) * (y \ z))) = K(x,((z / y) * (u * y)) / z). K(x,(y * z) / (y * (R(u,w,v5) \ z))) != v6 | K(x,L((y * (u * z)) / (y * z),w,v5)) = v6. K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(u * y) \ ((u * R(z,w,v5)) * y)). K(x,(y * z) \ ((y * R(u,w,v5)) * z)) = K(x,L((z * (u * y)) / (z * y),w,v5)). K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ ((y / z) * z),u). K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ y,u). K(x,y \ (((y / z) * u) * z)) = K((((y / z) / x) * z) \ y,u). K((((x / y) / z) * y) \ x,u) = K(z,x \ (((x / y) * u) * y)). K(T(T(x,y / z),x \ (y / z)),y \ (((y / z) * u) * z)) = K(((x \ T(y / z,x)) * z) \ y,u). K(x,L((y * (z * u)) / (y * u),w,v5)) = K((w * v5) / ((x \ w) * v5),(u * y) \ ((u * z) * y)). K((x * y) / ((z \ x) * y),(u * w) \ ((u * v5) * w)) = K(z,L((w * (v5 * u)) / (w * u),x,y)). K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L((z * (u * y)) / (z * y),w,v5)). K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,L((u * y) \ ((u * z) * y),w,v5)). K(x,L((y * (z * u)) / (y * u),w,v5)) != v6 | K(x,(u * y) \ ((u * R(z,w,v5)) * y)) = v6. K(x,(y * z) \ ((y * R(u,w,v5)) * z)) = K(x,L((y * z) \ ((y * u) * z),w,v5)). K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. K(x,y / ((y * z) / (u * z))) = K(x,L((z * y) \ ((z * u) * y),y,(u * z) \ 1)). K(x,L((y * z) \ ((y * u) * z),z,(u * y) \ 1)) = K(x,z / ((z * y) / (u * y))). K(x,y \ ((z * u) * (z \ y))) = K(x,((y / z) * (u * z)) / y). K(x,((y / z) * (u * z)) / y) = K(x,y \ ((z * u) * (z \ y))). K(x,((y / z) * (u * z)) / y) != w | K(x,L(T(T(u,z),y),z,z \ y)) = w. K(x,L(T(T(y,z),u),z,z \ u)) = K(x,u \ ((z * y) * (z \ u))). K(x,L(T(T(y \ z,y),u),y,y \ u)) != w | K(x,((u / T(y,y \ z)) * z) / u) = w. K(x,((y / T(z,z \ u)) * u) / y) = K(x,y \ ((z * (z \ u)) * (z \ y))). K(x,y \ ((z * (z \ u)) * (z \ y))) = K(x,((y / T(z,z \ u)) * u) / y). K(x,y \ (z * (u \ y))) = K(x,((y / T(u,u \ z)) * z) / y). K(x,((y / T(z,z \ u)) * u) / y) = K(x,y \ (u * (z \ y))). K(x,((y / T(z,z \ u)) * w) / y) != v5 | K(x,((y / T(z,u)) * w) / y) = v5. K(x,((y / T(z,u)) * u) / y) = K(x,y \ (u * (z \ y))). K(x,((y / T(z,u)) * u) / y) != w | K(x,((y / z) * T(u,z)) / y) = w. K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,((y / z) * z) \ (((y / z) * y) * z)). K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,y \ (((y / z) * y) * z)). K(x,T(y,z)) * K(x,K(z * (y / z),T(y,z))) = K(x,y \ (((y / z) * y) * z)). K(x,T(y,z)) * K(x,K((y / z) * z,y)) = K(x,y \ (((y / z) * y) * z)). K(x,T(y,z)) * K(x,K(y,y)) = K(x,y \ (((y / z) * y) * z)). K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,K(y,y)). K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,1). K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * 1. K(x,T(y,z)) = K(x,y \ (((y / z) * y) * z)). K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)). K(T(x,y / z),T(y \ (((y / z) * u) * z),x \ (y / z))) = K(((x \ T(y / z,x)) * z) \ y,u). L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),(x * K(y,z)) * u))). (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = L(a(x,K(z,u),y),x * (K(z,u) * y),K(u,L(z,y,x))). a(x,K(y,z),u) = (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),(x * K(y,z)) * u))). (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = a(x,K(z,u),y). (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),x * y))) = a(x,K(z,u),y). (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,y))) = a(x,K(z,u),y). (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,x),y,x),T(z,y))) = a(x,K(z,T(u,x)),y). (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,T(u,x)),y). x != a(y,K(z,T(u,w)),v5) | a(y,K(z,u),v5) = x. a(x,K(y,z),u) = (x * u) \ (((K(y,z) * x) * u) * K(L(z,u,x),T(T(y,u),x))). (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,u),y). (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,y),x),y,x))) = a(x,K(z,u),y). (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,y),x)))) = a(x,K(z,u),y). (x * y) \ ((K(z,u) * x) * (K(u,T(z,x)) * y)) = a(x,K(z,u),y). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). a(x,y,z) != u | ((y * z) * x) \ (R(x,y,z) * T(y * z,x)) = u. ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). a(x,K(y,z),K(z,y) * u) = a(u,K(z,y),x). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),y) = w. a(x,K(y,z),u) = a(u,K(z,y),x). (x * (y \ K(y,z))) * K(u,L(w,y,x \ 1)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). K(x * (K(y / z,u) * w),v5) != v6 | K(x * (K(z \ y,u) * w),v5) = v6. K(x,L(T(y,z * (u / w)),v5,v6)) != v7 | K(x,L(T(y,z * (w \ u)),v5,v6)) = v7. K(x / y,L(T(z,x * (y \ u)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). K((x * (x \ y)) \ (z * (x \ y)),u) = K(T(y,x) \ (z * (y / x)),u). K(x \ (y * (z \ x)),u) = K(T(x,z) \ (y * (x / z)),u). K(T(x,y) \ (z * (x / y)),u) = K(x \ (z * (y \ x)),u). K(x,y * (z \ T(u,w))) = K(x,y * (z \ T(u,w \ 1))). K(x,y * (z \ T(u,w \ 1))) = K(x,y * (z \ T(u,w))). K(x,y * (z \ (((u * w) \ w) \ w))) = K(x,y * (z \ T(u * w,u))). K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (((u * w) \ w) \ w))). x != K(y,z * (u \ ((w \ v5) \ v5))) | K(y,z * (u \ T(w,v5))) = x. K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ T(u * w,u))). K(x,y * (z \ T(u * w,w))) != v5 | K(x,y * (z \ (w * u))) = v5. K(x,y * (z \ (u * w))) = K(x,y * (z \ T(w * u,w))). K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). K(x,y * (z \ T(u * w,u))) != v5 | K(x,y * (z \ (T(u,u * w) * w))) = v5. K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ (w * u))). K(x,y * (z \ (u * w))) * K(x,K(y,z \ (u * w))) = K(x,(z \ (T(w,w * u) * u)) * y). K(x,(y \ (z * u)) * w) = K(x,(y \ (T(u,u * z) * z)) * w). K(x,(y \ (T(z,z * u) * u)) * w) = K(x,(y \ (u * z)) * w). K(x,(y \ (T(z,z * T((u \ w) \ w,z)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). K(x,(y \ (T(z,z * ((u \ w) \ w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). K(x,(y \ (T(z,z * T(u,w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). K(x,(y \ (K(z,z * T(u,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). K(x,(y \ (K(z,T(u * z,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). K(x,(y \ (K(z,u) * w)) * v5) != v6 | K(x,K(u,z) * ((y \ w) * v5)) = v6. K(x,K(T(y * z,u),z) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). K(x,K(y * z,T(z,u)) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). K(x,K(y,z * y) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). K(x,K(y,y * z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). K(x,K(y,y * z) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). K(x,(y \ (((z \ u) \ u) * (w * K(z,T(w,u))))) * v5) = K(x,K(w,z) * ((y \ (((z \ u) \ u) * w)) * v5)). K(x,(y \ (T((z \ u) \ u,w) * w)) * v5) = K(x,K(w,z) * ((y \ (((z \ u) \ u) * w)) * v5)). K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (T((z \ w) \ w,y) * y)) * v5). x != K(y,(z \ (T(u,w) * w)) * v5) | K(y,(z \ (w * u)) * v5) = x. K(x,(y \ (z * ((u \ w) \ w))) * v5) = K(x,K(z,u) * ((y \ (((u \ w) \ w) * z)) * v5)). K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (y * ((z \ w) \ w))) * v5). K(x,K(y,z) * ((u \ (w * y)) * v5)) != v6 | K(x,(u \ (w * T(y,z))) * v5) = v6. K(x,(y \ (((z \ u) \ u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). K(x,y) * z != K(x,K(y,u)) | K(y,T(x,u)) = z. K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z \ w))). T(x * K(y,T(x,z * (u \ w))),y) = T(x,K(y,(u \ z) * w)). T(x,K(y,z * (u \ w))) = T(x,K(y,(u \ z) * w)). T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z \ w))). T(x,K(y,(z \ u) * w)) != v5 | T(x,K(y,u * (z \ w))) = v5. (x \ T(y * x,K(z,u * (w \ v5)))) \ T(y,x) = K(K(z,(w \ u) * v5),y * x). (x \ T(y * x,z)) \ T(y,x) != u | K(z,y * x) = u. K(K(x,y * (z \ u)),w * v5) = K(K(x,(z \ y) * u),w * v5). K(K(x,(y \ z) * u),w * v5) = K(K(x,z * (y \ u)),w * v5). K(x,K(y * (z \ u),w * v5)) = K(K(x,(z \ y) * u),w * v5). K(K(x,(y \ z) * u),w * v5) = K(x,K(z * (y \ u),w * v5)). K(x,K((y \ z) * u,w * v5)) = K(x,K(z * (y \ u),w * v5)). K(x,K((y \ z) * u,w)) != v5 | K(x,K(z \ (u \ y),w)) = 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(u \ (z * y),v5 * w)) = v6. K(x,K(y \ (z * u),w * v5)) = K(x,K(u * (y \ z),v5 * w)). K(x,K(y * z,u * (w \ v5))) = K(x,K(v5 * (w \ u),z * y)). K(x,K(y * (z \ u),w * v5)) = K(x,K(v5 * w,u * (z \ y))). x != (y * z) / (K(u,y) * z) | T(y,u) = x. T(x,y * (z \ K(u,w))) = T(x,y * (z \ K(w,L(u,v5,v6)))). T(x,y * (z \ K(u,L(w,v5,v6)))) = T(x,y * (z \ K(w,u))). K(x * (L(y / z,z,z \ 1) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). K(x * L(y / z,z,z \ 1),u) = K(x * (T((z \ 1) * y,z) * a(w,v5,K(v6,v7))),u). K(x * T((y \ 1) * z,y),u) = K(x * L(z / y,y,y \ 1),u). K(x * L(y / z,z,z \ 1),u) = K(x * T((z \ 1) * y,z),u). x != K(y * (z * (u / z)),w) | K(y * T(u,z),w) = x. K(x * T(y,z),u) = K(x * ((z \ y) * z),u). K(x * ((y \ z) * y),u) = K(x * T(z,y),u). K(x * (y * z),u) = K(x * T(z * y,z),u). K(x * T(y * z,y),u) = K(x * (z * y),u). K(x * ((y \ z) * T(y,u)),w) = K(x * T(z * K(y,u),y),w). K(x * T(x \ y,z),u) * K(x,K(u,((x * z) \ y) * z)) = K((((x * z) \ y) * z) * R(x,z,(x * z) \ y),u). K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,((x * y) \ z) * y)). K(x * T((y \ 1) * z,y),u) = K(x * (z * (y \ 1)),u). K(x * T((y \ 1) * z,y),u) != w | K(x * L(z / y,y,y \ 1),u) = w. K(x * L(y / z,z,z \ 1),u) = K(x * (y * (z \ 1)),u). K(x * L(y,z,z \ 1),u) = K(x * ((y * z) * (z \ 1)),u). K(x * ((y * z) * (z \ 1)),u) = K(x * L(y,z,z \ 1),u). K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). K(x,L((y \ (z * u)) \ 1,y,z \ 1)) = K(x \ 1,(z \ y) \ u). K(x,L((y * z) \ u,u,y \ 1)) = K(x \ 1,(y \ u) \ z). K(x,((y \ z) \ u) \ 1) = K(x,L((y * u) \ z,z,y \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,((y \ u) \ z) \ 1). K(x,L((y * z) \ u,u,y \ 1)) != w | K(x,z \ (y \ u)) = w. K(x,y \ (T(z,u) \ w)) = K(x,L((T(z,u) * y) \ w,w,z \ 1)). K(x,L((T(y,z) * u) \ w,w,y \ 1)) = K(x,u \ (T(y,z) \ w)). K(x,L(y,(T(z,u) * w) * v5,v6)) != v7 | K(x,L(y,(z * w) * v5,v6)) = v7. K(x,L((T(y,z) * u) \ ((T(w,v5) * v6) * v7),(w * v6) * v7,y \ 1)) = K(x,u \ (T(y,z) \ ((T(w,v5) * v6) * v7))). K(x,((y / (z * y)) * u) / y) = K(x,L(T((z * y) \ u,y),z * y,z \ 1)). K(x,L(T((y * z) \ u,z),y * z,y \ 1)) = K(x,((z / (y * z)) * u) / z). K(x,L(y,z * u,z \ 1)) != w | K(x,L(y,u,z \ 1)) = w. K(x,L(T((y * z) \ u,z),z,y \ 1)) = K(x,((z / (y * z)) * u) / z). K(x,T(y \ (z \ u),y)) = K(x,((y / (z * y)) * u) / y). K(x,((y / (z * y)) * u) / y) = K(x,T(y \ (z \ u),y)). x != K(y,T(z \ u,z)) | K(y,u / z) = x. K(x,(y \ z) / u) = K(x,((u / (y * u)) * z) / u). K(x,((y / (z * y)) * u) / y) = K(x,(z \ u) / y). K(x,((y / (z * y)) * u) / y) != w | K(x,(R(z \ 1,z,y) * u) / y) = w. K(x,(R(y \ 1,y,z) * u) / z) = K(x,(y \ u) / z). K(x,((R(y \ 1,y,z) * u) / z) \ 1) = K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z). K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,((R(y \ 1,y,z) * u) / z) \ 1). K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (z * u)) / T(z,u)). K(x,y / (R(z \ 1,z,y) * u)) = K(x \ K((R(z \ 1,z,y) * u) / y,w),(z \ u) / y). K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,z / (R(y \ 1,y,z) * u)). K(x,((y \ z) / u) \ 1) = K(x,u / (R(y \ 1,y,u) * z)). K(x,y / (R(z \ 1,z,y) * u)) = K(x,((z \ u) / y) \ 1). K(x,y / (z \ u)) = K(x,y / (R(z \ 1,z,y) * u)). K(x,y / (R(z \ 1,z,y) * u)) = K(x,y / (z \ u)). K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,R(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). x * (K(x / y,z) * K(u,w)) = K(y \ x,z) * (x * K(u,w)). K(x \ y,z) * (y * K(u,w)) = y * (K(y / x,z) * K(u,w)). x * (K(y,z) * K(u,w \ x)) = K(u,x / w) * (x * K(y,z)). K(x,y / z) * (y * K(u,w)) = y * (K(u,w) * K(x,z \ y)). x * (K(y,z) * K(u \ x,w)) = K(x / u,w) * (x * K(y,z)). K(x / y,z) * (x * K(u,w)) = x * (K(u,w) * K(y \ x,z)). T(x / y,z) * T(y,u) = x * (K(y,u) * K(y \ x,z)). x * (K(y,z) * K(y \ x,u)) = T(x / y,u) * T(y,z). x * (K(y \ x,z) * K(y,u)) = T(x / y,z) * T(y,u). K(((x * K(y,T(z,u))) * w) \ v5,L(v6,v5,x \ 1)) = K((w * K(y,K(z,u))) \ ((x * K(y,z)) \ v5),v6). K(((x * y) \ z) * K(T(u,w),v5),L(v6,z,x \ 1)) = K((y * K(v5,K(u,w))) \ ((x * K(v5,u)) \ z),v6). K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(T(z,u),y),L(v6,v5,w \ 1)). K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) = K((y * K(w,K(u,v6))) \ ((x * K(w,u)) \ z),v5). K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(z,y),L(v6,v5,w \ 1)). x != K(((y * z) \ u) * K(w,v5),L(v6,u,y \ 1)) | K(z \ (y \ (u * K(w,v5))),v6) = x. K(x \ (y \ (z * K(u,w))),v5) = K((x * K(w,K(u,v6))) \ ((y * K(w,u)) \ z),v5). K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(x \ (w \ (v5 * K(z,y))),v6). K(x \ ((y * K(z,u)) \ w),v5) = K(x \ (y \ (w * K(u,z))),v5). x != K(y \ (z \ (u * K(w,v5))),v6) | K((y \ (z \ u)) * K(w,v5),v6) = x. K((x \ (y \ z)) * K(u,w),v5) = K(x \ ((y * K(w,u)) \ z),v5). K(x \ ((y * K(z,u)) \ w),v5) = K((x \ (y \ w)) * K(u,z),v5). K(x \ ((y * K(z * u,z)) \ w),v5) != v6 | K(K(u,z) * ((y * x) \ w),L(v5,w,y \ 1)) = v6. K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K((u \ (z \ w)) * K(y,y * x),v5). K(K(x,y) * (z \ (u \ w)),v5) = K(K(x,y) * ((u * z) \ w),L(v5,w,u \ 1)). K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K(K(x,y) * (u \ (z \ w)),v5). K(x * (y \ K(K(z,u) * (w \ (v5 \ v6)),v7)),v8) = K(x * (y \ K(v7,K(z,u) * ((v5 * w) \ v6))),v8). K(x * (y \ K(K(z,u) * w,v5)),v6) != v7 | K(x * (y \ K(v5,w)),v6) = v7. K(x * (y \ K(z,u \ (w \ v5))),v6) = K(x * (y \ K(z,K(v7,v8) * ((w * u) \ v5))),v6). K(x * (y \ K(z,K(u,w) * ((v5 * v6) \ v7))),v8) = K(x * (y \ K(z,v6 \ (v5 \ v7))),v8). K(x * (y \ K(z,K(u,w) * v5)),v6) != v7 | K(x * (y \ K(z,v5)),v6) = v7. K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w \ (u \ v5))),v6). K((x * (y * T(z,T(u,w)))) * v5,v6) = K((x * (y * T(z,u))) * v5,v6). K(x * ((y * T(z,T(u,w))) * v5),v6) = K((x * (y * T(z,u))) * L(v5,y * T(z,T(u,w)),x),v6). K((x * (y * T(z,u))) * L(w,y * T(z,T(u,v5)),x),v6) = K(x * ((y * T(z,T(u,v5))) * w),v6). K((x * (y * T(z,u))) * L(w,y * T(z,u),x),v5) = K(x * ((y * T(z,T(u,v6))) * w),v5). K(x * ((y * T(z,u)) * w),v5) = K(x * ((y * T(z,T(u,v6))) * w),v5). K(x * ((y * T(z,T(u,w))) * v5),v6) = K(x * ((y * T(z,u)) * v5),v6). K((x * y) * (z * K(x,T(x \ u,w))),v5) = K((T(x,T(u / x,w)) * y) * z,v5). K((x * y) * (z * K(x,x \ u)),w) = K((T(x,T(u / x,v5)) * y) * z,w). K((T(x,T(y / x,z)) * u) * w,v5) = K((x * u) * (w * K(x,x \ y)),v5). x != K(y,z * (K(u,w) * (u \ v5))) | K(y,z * (T(u,w) \ v5)) = x. K(K(x,y) * (x \ K(z,u)),w * (T(x,y) \ K(z,u))) = K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (T(x,y) \ K(z,u))). x != K(y,z * (T(u,w) \ K(v5,v6))) | K(y,z * T(u \ K(v5,v6),w)) = x. K(K(x,y) * (x \ K(z,u)),w * T(x \ K(z,u),y)) = K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * T(x \ K(z,u),y)). x != K(K(y,z) * (y \ u),w) | K(T(y,z) \ u,w) = x. K(T(x,y) \ K(z,u),w * T(x \ K(z,u),y)) = K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(T(x,y) \ K(z,u),w * T(x \ K(z,u),y)). x != K(T(y,z) \ K(u,w),v5) | K(y \ K(u,w),T(v5,z)) = x. K(x \ K(y,z),T(u * T(x \ K(y,z),w),w)) = K(K(x,w) * (x \ K(y,z)),K(x,w) * ((x \ K(y,z)) * u)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(w * T(x \ K(z,u),y),y)). K(K(x,y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). K(K(x,x \ y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). K(x \ K(y \ (T(z,u) \ w),v5),K(z,u) * (y \ (z \ w))) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). K(x,K(y,z) * (u \ (y \ w))) != v5 | K(x,u \ (T(y,z) \ w)) = v5. K(x \ K(y \ (T(z,u) \ w),v5),y \ (T(z,u) \ w)) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). K(x,(y \ (T(z,u) \ w)) \ 1) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(u \ (T(y,z) \ w)) \ 1). K(x,(T(y,z) \ u) \ w) = K(x,(K(y,z) * (w \ (y \ u))) \ 1). K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(T(y,z) \ w) \ u). K(x,(y \ (z \ u)) \ K(w,z)) = K(x,(T(z,w) \ u) \ y). K(R(x,y \ 1,y) * z,u) = K(L(x,y \ 1,y) * z,u). K(x * R(y,z \ 1,z),u) = K(L(y,z \ 1,z) * x,T(u,R(y,z \ 1,z))). K(L(x,y \ 1,y) * z,T(u,R(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). K(L(x,y \ 1,y) * z,T(u,L(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). K(x * L(y,z \ 1,z),u) = K(x * R(y,z \ 1,z),u). K(x * R(y,z \ 1,z),u) = K(x * L(y,z \ 1,z),u). K(x * (L(T(y,z) / z,T(z,y),z \ 1) \ u),w) = K(x * (T((T(z,y) \ 1) * y,T(z,y)) \ u),w). K(x * (T((T(y,z) \ 1) * z,T(y,z)) \ u),w) = K(x * (L(T(z,y) / y,T(y,z),y \ 1) \ u),w). K(x * (T((y \ 1) * z,y) \ u),w) != v5 | K(x * ((z * (y \ 1)) \ u),w) = v5. K(x * ((y * (T(z,y) \ 1)) \ u),w) = K(x * (L(T(y,z) / z,T(z,y),z \ 1) \ u),w). K(x * (L(T(y,z) / z,T(z,y),z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). K(x * (L(T(y,z) / z,z,z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). K(x * (L(y / z,z,z \ 1) \ u),w) != v5 | K(x * ((y * (z \ 1)) \ u),w) = v5. K(x * ((T(y,z) * (z \ 1)) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). K(x,y \ (K(z,u) * w)) = K(x \ 1,w \ (K(u,z) * y)). K(x \ 1,y \ (K(z,u) * w)) = K(x,w \ (K(u,z) * y)). K(x,(y \ z) * K(u,w)) = K(x \ 1,z \ (K(w,u) * y)). K(x \ 1,y \ (K(z,u) * w)) = K(x,(w \ y) * K(u,z)). K(x,y \ (K(z,u) * w)) != v5 | K(x,(y \ w) * K(z,u)) = v5. K(x \ 1,(y \ z) * K(u,w)) = K(x,(z \ y) * K(w,u)). K(x,((y \ z) * K(u,w)) \ 1) = K(x,(z \ y) * K(w,u)). K(x,K(y,z) * ((u \ w) \ 1)) = K(x,(w \ u) * K(y,z)). K(x,(y \ z) \ K(u,w)) = K(x,(z \ y) * K(u,w)). K(x,(y \ (z \ u)) \ K(w,z)) != v5 | K(x,(T(z,w) \ u) \ y) = v5. K(x,(T(y,z) \ u) \ w) = K(x,((y \ u) \ w) * K(z,y)). K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). K(x,((y \ z) \ u) * K(z,y)) != w | K(x,(z / y) \ u) = w. 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,K(z,L(u,w,y)) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). K(x,(T(y,K(z,u) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(u \ w,T(y,z))). x != K(y,K(z,T(u,w))) | K(y,K(u,z)) = x. K(x,K(y,z \ u)) = K(x,K(y,(((w \ 1) / z) * u) * w)). K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(y,u \ w)). K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / y) * z),u). K(x,y * (((y \ 1) / z) * u)) * K(x,K(w,z \ u)) = K(x,T(y * (((y \ 1) / z) * u),w)). x * K(y,K(x,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). T(x,K(y,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). K(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = K(x,K(y,w * (u * z))). x * K(x,K(y,z * (u * w))) = T(x,K(y,w \ (u \ (z \ a(v5,v6,K(v7,v8)))))). T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = x * K(x,K(y,w * (u * z))). T(x,K(y,z * (u * w))) = T(x,K(y,w \ (u \ (z \ a(v5,v6,K(v7,v8)))))). T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = T(x,K(y,w * (u * z))). T(x,K(y,z \ (u \ (w \ 1)))) = T(x,K(y,w * (u * z))). (x \ T(y * x,K(z,u * (w * v5)))) \ T(y,x) = K(K(z,v5 \ (w \ (u \ a(v6,v7,K(v8,v9))))),y * x). K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = (v9 \ T(v8 * v9,K(x,u * (z * y)))) \ T(v8,v9). x != (y \ T(z * y,u)) \ T(z,y) | K(u,z * y) = x. K(K(x,y * (z * u)),w * v5) = K(K(x,u \ (z \ (y \ a(v6,v7,K(v8,v9))))),w * v5). K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(K(x,u * (z * y)),v8 * v9). K(x,K(y * (z * u),w * v5)) = K(K(x,u \ (z \ (y \ a(v6,v7,K(v8,v9))))),w * v5). K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(x,K(u * (z * y),v8 * v9)). K(x,K(y \ (z \ (u \ a(w,v5,K(v6,v7)))),v8 * v9)) = K(x,K(u * (z * y),v8 * v9)). K(x,K(y \ (z \ u),w * v5)) != v6 | K(x,K(y * (u \ z),w * v5)) = v6. K(x,K(y * ((z \ a(u,w,K(v5,v6))) \ v7),v8 * v9)) = K(x,K(z * (v7 * y),v8 * v9)). K(x,K(y * ((z \ 1) \ u),w * v5)) = K(x,K(z * (u * y),w * v5)). K(x,K(y * ((z \ 1) \ u),w)) != v5 | K(x,K((y * z) * u,w)) = v5. K(x,K((y * z) * u,w * v5)) = K(x,K(z * (u * y),w * v5)). K(x,K(y * z,u * (w * v5))) = K(x,K(w * (u * v5),y * z)). K(x,K(y * (z * u),w * v5)) = K(x,K(w * v5,z * (y * u))). K(x,K(y * (z \ u),w * v5)) != v6 | K(x,K(v5 * w,u * (z \ y))) = v6. K(x,K(y * z,u * (w \ (v5 * v6)))) = K(x,K(v6 * ((w \ u) * v5),z * y)). K(x,K(y * ((z \ u) * w),v5 * v6)) = K(x,K(v6 * v5,u * (z \ (w * y)))). K(x,K((y * z) * (u * (y \ 1)),w * v5)) = K(x,K(z * R(u,y \ 1,y),w * v5)). K(x,K((y * z) * u,w * v5)) != v6 | K(x,K(z * (u * y),w * v5)) = v6. K(x,K(y * ((z * u) * w),v5 * v6)) = K(x,K(v5 * v6,z * ((w * y) * u))). K(x,K(y * (z * (u \ 1)),w)) != v5 | K(x,K(z * (u \ y),w)) = v5. K(x,K(y * (z \ (z * u)),w * v5)) = K(x,K(u * R(y,z \ 1,z),w * v5)). K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * (u \ (u * y)),w * v5)). K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). K(x,K(y * L(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). K(x,K(y * (L(z,u \ 1,u) * w),v5 * v6)) = K(x,K(z * (w * y),v5 * v6)). x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). T(x,K(y,z * (u \ w))) = T(x,K(y,w \ (z \ u))). T(x,K(y,z \ (u \ w))) = T(x,K(y,u * (w \ z))). T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,(z * u) \ w)) = v5. T(x,K(y,(z * u) \ w)) = T(x,K(y,u * (w \ z))). T(x,K(y,z \ (u * w))) = T(x,K(y,w * (z \ u))). x \ T(y * T(x,K(z,((u \ 1) * w) * (v5 \ v6))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). K(x,L(y,a(z,u,u \ 1),L(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). K(x,L(y,a(z,u,u \ 1),z)) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). K(x,L(y,z \ 1,R(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). K(x,L(y,z \ 1,L(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). K(x,L(y,z \ 1,z)) = K(x,L(y,a(z,u,u \ 1),z)). K(x,L(y,a(z,u,u \ 1),z)) = K(x,L(y,z \ 1,z)). x != K(y,L(z,u \ 1,u)) | K(y,z) = x. K(x,y) = K(x,L(y,a(z,u,u \ 1),z)). K(x,L(y,a(z,u,u \ 1),z)) = K(x,y). K((x * y) * a(y,z,z \ 1),L(u,a(y,z,z \ 1),y)) != w | K(x * R(y,z,z \ 1),u) = w. K(x * R(y,z,z \ 1),u) = K((x * y) * a(y,z,z \ 1),u). K((x * y) * a(y,z,z \ 1),u) = K(x * R(y,z,z \ 1),u). x != K(y * R(z,u,u \ 1),w) | K(y * L(z,u,u \ 1),w) = x. K(x * L(y,z,z \ 1),u) = K((x * y) * a(y,z,z \ 1),u). K((x * y) * a(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). K((x * y) * a(x,z,z \ 1),u) = K(T(y,x) * L(x,z,z \ 1),u). K(x * a(y \ x,z,z \ 1),u) = K(y * L(y \ x,z,z \ 1),u). K(x * L(x \ y,z,z \ 1),u) = K(y * a(x \ y,z,z \ 1),u). K((x * y) * L(L(T(z,y),y,x),u,u \ 1),w) = K((x * (z * y)) * a((x * y) \ (x * (z * y)),u,u \ 1),w). K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K((x * z) * L(L(T(y,z),z,x),u,u \ 1),w). K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (z * L(T(y,z),u,u \ 1)),w). K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). K((x * (y * z)) * a(L(T(y,z),z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). K((x * (y * z)) * a(L(y,z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). K(((x * y) * z) * a(L(x,y,T(z,x * y)),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). (x * K(y * (L(z,u,u \ 1) * w),v5)) \ x = K(v5,(y * (z * w)) * a(L(z,w,y),u,u \ 1)). K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) = (v5 * K(y * (L(z,w,w \ 1) * u),x)) \ v5. K(x,y * (L(z,u,u \ 1) * w)) = K(x,(y * (z * w)) * a(L(z,w,y),u,u \ 1)). K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) = K(x,y * (L(z,w,w \ 1) * u)). x != K(T(y,z) * L(z,u,u \ 1),w) | K(L(z,u,u \ 1) * y,w) = x. K(L(x,y,y \ 1) * z,u) = K((x * z) * a(x,y,y \ 1),u). K((x * y) * a(x,z,z \ 1),u) = K(L(x,z,z \ 1) * y,u). K(x * a(y,z,z \ 1),u) = K(L(y,z,z \ 1) * (y \ x),u). K(L(x,y,y \ 1) * (x \ z),u) = K(z * a(x,y,y \ 1),u). K(L(x,y,y \ 1) * (x \ z),u) != w | K(a(y \ 1,y,x) \ z,u) = w. K(a(x \ 1,x,y) \ z,u) = K(z * a(y,x,x \ 1),u). (x * K(y * a(z,u,u \ 1),w)) \ x = K(w,a(u \ 1,u,z) \ y). K(x,y * a(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). K(x,a(y \ 1,y,z) \ u) = K(x,u * a(z,y,y \ 1)). K(((x * y) * z) * a(L(x,y,z),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). K(((x * y) * z) * a(L(x,y,z),u \ 1,u),w) = K(T(z,x * y) * (L(x,u \ 1,(u \ 1) \ 1) * y),w). K(T(x,y * z) * (L(y,u \ 1,(u \ 1) \ 1) * z),w) = K(((y * z) * x) * a(L(y,z,x),u \ 1,u),w). K(T(x,y * z) * (L(y,u \ 1,u) * z),w) = K(((y * z) * x) * a(L(y,z,x),u \ 1,u),w). K(((x * y) * z) * a(L(x,y,z),u \ 1,u),w) = K(T(z,x * y) * (L(x,u \ 1,u) * y),w). K(x,K(y * z,y * (z * (T(u,w * v5) * (L(w,v6 \ 1,v6) * v5))))) = K(x,K(((w * v5) * u) * a(L(w,v5,u),v6 \ 1,v6),y * z)). K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * (T(u,y * z) * (L(y,w \ 1,w) * z))))). x != K(y,K(z,u * (w * (T(v5,v6) * v7)))) | K(y,K(z,u * (w * (v7 * v5)))) = x. K(x,K(y * z,y * (z * ((L(u,w \ 1,w) * v5) * v6)))) = K(x,K(((u * v5) * v6) * a(L(u,v5,v6),w \ 1,w),y * z)). K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * ((L(y,w \ 1,w) * z) * u)))). x != K(y,K(z * u,z * (u * w))) | K(y,K(w,z * u)) = x. K(x,K((L(y,z \ 1,z) * u) * w,v5 * v6)) = K(x,K(((y * u) * w) * a(L(y,u,w),z \ 1,z),v5 * v6)). K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K((L(y,w \ 1,w) * z) * u,v5 * v6)). x != K(y,K((z * u) * w,v5 * v6)) | K(y,K(u * (w * z),v5 * v6)) = x. K(x,K(y * (z * L(u,w \ 1,w)),v5 * v6)) = K(x,K(((u * y) * z) * a(L(u,y,z),w \ 1,w),v5 * v6)). K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(z * (u * L(y,w \ 1,w)),v5 * v6)). K(x,K(T(y,z * u) * (L(z,w \ 1,w) * u),v5 * v6)) = K(x,K(u * (y * L(z,w \ 1,w)),v5 * v6)). K(x,K(y * (L(z,u \ 1,u) * w),v5 * v6)) != v7 | K(x,K(z * (w * y),v5 * v6)) = v7. K(x,K(y * (z * T(u,y * z)),w * v5)) = K(x,K(z * (u * L(y,v6 \ 1,v6)),w * v5)). K(x,K(L(y,z,u) * (u * z),w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(w,T(u,v5)) * z)). T(T(x,K(y,z)),K(u,w) * (z * y)) != v5 | T(x,y * (K(u,w) * z)) = v5. T(x,y * (K(z,u) * w)) = T(x,y * (K(u,T(z,v5)) * w)). T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(u,z) * v5)). T(x,y * (K(z,T(u,w)) * v5)) != v6 | T(x,y * (K(z,u) * v5)) = v6. T(x,y * (K(z,u) * w)) = T(x,y * (K(u,z) * w)). T(x,y * ((z * u) * w)) = T(x,y * (K(u,z) * ((u * z) * w))). T(x,y * (K(z,u) * ((z * u) * w))) = T(x,y * ((u * z) * w)). T(x,y * ((T(z,u) * u) * w)) = T(x,y * ((u * z) * w)). T(x,y * ((z * u) * w)) \ x = K(y * ((T(u,z) * z) * w),x). K(x * ((T(y,z) * z) * u),w) = T(w,x * ((z * y) * u)) \ w. K(x * ((y * z) * u),w) = K(x * ((T(z,y) * y) * u),w). K(x * ((T(y,z) * z) * u),w) = K(x * ((z * y) * u),w). K(x * ((T(y,z) * z) * u),w) != v5 | K(x * ((z * y) * u),w) = v5. K(x * ((T(y,T(z,u)) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. K(x * ((T(y,z \ 1) * (y \ (z \ y))) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). K(x * ((T(y,T(z,u)) * T(z,T(u,w))) * v5),v6) = K(x * ((T(z,T(u,w)) * y) * v5),v6). K(x * ((y * T(z,T(u,w))) * v5),v6) != v7 | K(x * ((y * T(z,u)) * v5),v6) = v7. K(x * ((T(y,T(z,u)) * T(z,u)) * w),v5) = K(x * ((T(z,T(u,v6)) * y) * w),v5). K(x * ((T(y,z) * u) * w),v5) = K(x * ((T(y,T(z,v6)) * u) * w),v5). K(x * ((T(y,T(z,u)) * w) * v5),v6) = K(x * ((T(y,z) * w) * v5),v6). K(x * ((T(y,z) * T(z,u)) * w),v5) != v6 | K(x * ((T(z,u) * y) * w),v5) = v6. K(x * ((T(y,z) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. K(x * ((K(y,z \ 1) * (z \ y)) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (((z \ (y \ z)) * z) * u),w). x != K(y * (((z \ u) * z) * w),v5) | K(y * (T(u,z) * w),v5) = x. K(x * (T(y \ z,z) * u),w) = K(x * ((T(y,z \ 1) \ z) * u),w). K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (T(y \ z,z) * u),w). T(x,(y \ R(y,z,y)) * (((K(y,z) * u) * w) \ 1)) = T(x,(u * L(w,u,K(z,y))) \ (K(y,y * z) \ 1)). T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * (((K(w,u) * y) * z) \ 1)). T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((z \ 1) * (y \ K(u,w)))). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ R(w,u,w)). x != T(y,z \ R(u,w,u)) | T(y,z \ u) = x. T(x,(y * ((K(y,z) * u) * w)) \ y) = T(x,(u * L(w,u,K(z,y))) \ K(y * z,y)). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ w). x != T(y,(z * u) \ z) | T(y,u \ 1) = x. T(x,((K(y,z) * u) * w) \ 1) = T(x,(u * L(w,u,K(z,y))) \ K(y * z,y)). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,((K(w,u) * y) * z) \ 1). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(z \ 1) * (y \ K(u,w))). x != T(y,(z \ 1) * u) | T(y,z \ u) = x. T(x,y \ (z \ K(u,w))) = T(x,(z * L(y,z,K(u,w))) \ K(w * u,w)). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,z \ (y \ K(u,w))). T(x,K(y,z) * (u * w)) != v5 | T(x,u * (w * K(y,z))) = v5. T(x,(K(y,z) * u) * (w * K(z,y))) = T(x,u * w). T(x,(y * z) * (u * K(y,w))) = T(x,(T(y,w) * z) * u). K(x,K(y,z)) * K(x,T(z,(T(u,w) * v5) * v6) * y) = K(x,y * T(z,(u * v5) * (v6 * K(u,w)))). K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,(T(u,v6) * w) * v5) * y). (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). (x \ 1) \ ((K(y,z) / x) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). (x \ 1) \ ((K(y,z) / u) * (w \ 1)) != v5 | ((w * (u * K(z,y))) / x) \ 1 = v5. ((x * (y * K(z,u))) / y) \ 1 = (K(z,u) / y) \ ((x * y) \ 1). x \ 1 != y \ (z \ 1) | z / (y \ 1) = x. (x * y) / ((K(z,u) / y) \ 1) = (x * (y * K(z,u))) / y. (x * y) / (y * K(z,u)) = (x * (y * K(u,z))) / y. (x * (y * K(z,u))) / y = (x * y) / (y * K(u,z)). ((x * y) / (y * K(z,u))) * K(y,K(u,z)) = (x * (K(u,z) * y)) / y. (x / (y * z)) * K(y,K(u,w)) != v5 | x / (T(y,K(u,w)) * z) = v5. (x * y) / (T(y,K(z,u)) * K(u,z)) = (x * (K(z,u) * y)) / y. (x * y) / (K(z,u) * y) = (x * (K(u,z) * y)) / y. (x * (K(y,z) * u)) / u = (x * u) / (K(z,y) * u). (x * (K(y,T(z,x)) * u)) / u != w | u \ ((u * K(y,z)) * x) = w. x \ ((x * K(y,z)) * u) = (u * x) / (K(T(z,u),y) * x). (x * y) / (K(T(z,x),u) * y) = y \ ((y * K(u,z)) * x). (K(x,L(y,z * (K(u,w) * v5),v5)) * (z * (K(u,w) * v5))) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). (x * y) / (K(z,T(u,x)) * y) = y \ ((y * K(u,z)) * x). ((K(x,y) * z) * u) / (K(w,T(v5,z)) * u) = u \ ((u * K(v5,w)) * (K(x,y) * z)). (K(x,L(y,z * u,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). (K(x,L(y,z,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). ((K(x,y) * z) * (K(u,w) * v5)) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). (x * (K(y,z) * u)) / u != w | (x * u) / (K(z,y) * u) = w. ((K(x,y) * z) * u) / (K(w,v5) * u) = K(x,y) * ((z * u) / (K(w,v5) * u)). ((K(x,y) * z) * u) / (K(w,T(v5,z)) * u) != v6 | u \ ((u * K(v5,w)) * (K(x,y) * z)) = v6. x \ ((x * K(y,z)) * (K(u,w) * v5)) = K(u,w) * ((v5 * x) / (K(z,T(y,v5)) * x)). K(x,y) * ((z * u) / (K(w,T(v5,z)) * u)) = u \ ((u * K(v5,w)) * (K(x,y) * z)). K(x,y) * (z \ ((z * K(u,w)) * v5)) = z \ ((z * K(u,w)) * (K(x,y) * v5)). x \ ((x * K(y,z)) * (K(u,w) * v5)) = K(u,w) * (x \ ((x * K(y,z)) * v5)). L(x,K(y,z),u) = K(y,z) * (u \ ((u * K(z,y)) * x)). K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). x != K(y,T(z,u)) * u | u * K(y,z) = x. (x \ ((x * K(y,z)) * u)) * K(w,v5) = x \ ((x * K(y,z)) * (K(w,T(v5,x \ ((x * K(y,z)) * u))) * u)). x \ ((x * K(y,z)) * (K(u,T(w,x \ ((x * K(y,z)) * v5))) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). x \ ((x * K(y,z)) * (K(u,T(w,K(z,y) * v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). x \ ((x * K(y,z)) * (K(u,T(w,v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). x \ ((x * K(y,z)) * (u * K(w,v5))) = (x \ ((x * K(y,z)) * u)) * K(w,v5). x \ ((x * K(y,z)) * (u \ K(w,v5))) = (x \ ((x * K(y,z)) * (u \ 1))) * K(w,v5). (x \ ((x * K(y,z)) * (u \ 1))) * K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). T(L(x,K(y,z),u),((u * K(z,y)) * x) \ u) = (u \ ((u * K(z,y)) * x)) * K(y,z). K((x * (y \ K(z,u))) * w,v5) = K((x * (y \ 1)) * (w * K(z,u)),v5). K((x * (y \ 1)) * (z * K(u,w)),v5) = K((x * (y \ K(u,w))) * z,v5). K(x * (y * K(z * u,u)),w) = K(K(u,z) * (x * (y * a(z * u,x,K(y,u)))),w). K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K(z * (u * K(y * x,x)),w). K(K(x,y) * (z * u),w) = K(z * (u * K(y * x,x)),w). K(x * (y * K(z * u,u)),w) = K(K(u,z) * (x * y),w). K(x * (y * (z * K(u * w,w))),v5) = K(K(w,u) * (x * (y * z)),v5). K(x * (y * (z * K(z * u,u))),w) != v5 | K(x * (y * (((u \ 1) \ z) * (u \ 1))),w) = v5. K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(K(z,u) * (x * (y * u)),w). K(K(x,y) * (z * (u * y)),w) = K(z * (u * (((x \ 1) \ y) * (x \ 1))),w). K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),x \ (K(y,T(z,w)) * u)). x != K(y,z \ (K(u,T(w,v5)) * v6)) | K(y,(z \ v6) * K(u,w)) = x. K(x * K(y,z),(x \ u) * K(y,z)) = K(x * K(y,z),u / (K(z,T(y,w)) * x)). K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). K(x * K(y,z),u / (K(z,y) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). K(x * K(y,z),u * (x \ K(y,z))) = K(x * K(y,z),(x \ u) * K(y,z)). K(x * K(y,z),(x \ u) * K(y,z)) = K(x * K(y,z),u * (x \ K(y,z))). K(K(x * K(y,z),u * (x \ K(y,z))) * w,v5) = K(K(K(z,y) * x,u) * w,v5). K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(K(u,z) * x,y) * w,v5). x != K(K(K(y,z) * u,w) * v5,v6) | K(K(u,w) * v5,v6) = x. K(K(x,y) * z,u) = K(K(x,y * (x \ K(w,v5))) * z,u). K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(x,y) * w,v5). K(K(x,(y * z) * (x \ K(u,z))) * w,v5) != v6 | K(K(x,y * T(z,u)) * w,v5) = v6. K(K(x,y * T(z,u)) * w,v5) = K(K(x,y * z) * w,v5). x != K(K(y,z * u) * w,v5) | K(K(z * (u * y),y) * w,v5) = x. K(K(x * (y * z),z) * u,w) = K(K(z,x * T(y,v5)) * u,w). K(K(x * (y * R(z,u,w)),L(z,u,w)) * v5,v6) = K(K(R(z,u,w),x * T(y,v7)) * v5,v6). K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),L(x,y,z)) * v6,v7). x != K(K(y,L(z,u,w)) * v5,v6) | K(K(y,z) * v5,v6) = x. K(K(x * (y * R(z,u,w)),z) * v5,v6) = K(K(R(z,u,w),x * T(y,v7)) * v5,v6). K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),x) * v6,v7). x != K(K(y * ((z * u) * R(w,z,u)),v5) * v6,v7) | K(K(((w * z) * u) * y,v5) * v6,v7) = x. K(K(((x * y) * z) * u,x) * w,v5) = K(K(R(x,y,z),u * T(y * z,v6)) * w,v5). K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(((x * y) * z) * u,x) * v5,v6). K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,y * ((u \ 1) * z))) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,(u \ 1) * z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,u \ z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). K(x,K(y,(z * u) * w) * v5) = K(x,K(z * ((u \ 1) \ w),y) * v5). K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,K(w,(y * z) * u) * v5). K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(y \ ((u \ 1) / z),w) * v5) = v6. K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(w,(y * u) * z) * v5). K(x,K(y,(z \ (u \ 1)) / w) * v5) != v6 | K(x,K(y,w * (u / (z \ 1))) * v5) = v6. K(x,K(y,z * (u / (w \ 1))) * v5) = K(x,K(y,z \ (w \ (u \ 1))) * v5). K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(y,z * (w / (u \ 1))) * v5). K(x,(y * z) / (y * (u \ z))) = K(x,(y * T(z,w)) / (y * (u \ T(z,w)))). K(x,(y * T(z,u)) / (y * (w \ T(z,u)))) = K(x,(y * z) / (y * (w \ z))). K(x,(y * z) / (y * (u \ z))) != w | K(x,(z * y) \ ((z * u) * y)) = w. K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(u * y) / (u * (w \ y))). x != K(y,(z * u) / (z * (w \ u))) | K(y,(u * z) \ ((u * w) * z)) = x. K(x,(y * z) \ ((y * u) * z)) = K(x,(T(y,w) * z) \ ((T(y,w) * u) * z)). K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(y * u) \ ((y * w) * u)). L(K(x,(y * z) \ ((y * u) * z)),w,v5) = K(x,L((T(y,v6) * z) \ ((T(y,v6) * u) * z),w,v5)). K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = L(K(x,(y * u) \ ((y * w) * u)),v5,v6). K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L((T(y,v6) * z) \ ((T(y,v6) * u) * z),w,v5)). K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = K(x,L((y * u) \ ((y * w) * u),v5,v6)). K(x,L((T(y,z) * u) \ ((T(w,v5) * v6) * v7),(w * v6) * v7,y \ 1)) != v8 | K(x,u \ (T(y,z) \ ((T(w,v5) * v6) * v7))) = v8. K(x,y \ (T(z,u) \ ((T(z,u) * w) * y))) = K(x,L((z * y) \ ((z * w) * y),(z * w) * y,z \ 1)). K(x,L((y * z) \ ((y * u) * z),(y * u) * z,y \ 1)) = K(x,z \ (T(y,w) \ ((T(y,w) * u) * z))). K(x,y \ (T(z,u) \ ((T(z,u) * w) * y))) != v5 | K(x,y \ (z \ ((z * w) * y))) = v5. K(x,((y * z) \ u) \ w) = K(x,L(u \ ((y * z) * w),w,(z * y) \ 1)). K(x,L(y \ ((z * u) * w),w,(u * z) \ 1)) = K(x,((z * u) \ y) \ w). K(x,L((y * z) \ ((y * u) * z),z,(u * y) \ 1)) != w | K(x,z / ((z * y) / (u * y))) = w. K(x,y / ((y * z) / (u * z))) = K(x,((z * u) \ (z * y)) \ y). x != K(y,y * z) * u | (y \ R(y,z,y)) \ (K(y,z) * u) = x. (x \ R(x,y,x)) \ (K(x,y) * (K(z,u) * w)) = K(z,u) * (K(x,x * y) * w). K(x,y) * (z * u) = K(z,u) * (K(x,y) * (u * z)). K(x,y) * (K(z,u) * (y * x)) = K(z,u) * (x * y). (x \ R(x,y,x)) \ (K(x,y) * (K(z,K(u,w)) * v5)) = K(w,K(z,z * u)) * (K(x,x * y) * v5). (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(z,K(x,x * y)) * (K(x,x * y) * u). K(x,K(y,y * z)) * (K(y,y * z) * u) = (y \ R(y,z,y)) \ (K(y,T(z,x)) * u). K(x,T(x * y,z)) * u = (x \ R(x,y,x)) \ (K(x,T(y,z)) * u). (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(x * y,z)) * u. K(x,T(y * T(x,z),z)) = K(x,T(x * y,z)). K(x \ K(y,z),T(u * T(x \ K(y,z),w),w)) != v5 | K(K(x,w) * (x \ K(y,z)),K(x,w) * ((x \ K(y,z)) * u)) = v5. K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T((x \ K(z,u)) * w,y)). x != K(y,T((z \ K(u,w)) * v5,v6)) | K(y,T(K(w,u) * (z \ v5),v6)) = x. K(x \ K(y,z),T(K(z,y) * (x \ u),w)) = K(K(x,w) * (x \ K(y,z)),K(x,w) * ((x \ K(y,z)) * u)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(K(u,z) * (x \ w),y)). x != K(y \ K(z,u),T(K(w,v5) * v6,v7)) | K(K(u,z) * y,T(v6 \ K(v5,w),v7)) = x. K(K(x,y) * z,T((z \ u) \ K(y,x),w)) = K(K(z,w) * (z \ K(y,x)),K(z,w) * ((z \ K(y,x)) * u)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T((x \ w) \ K(z,u),y)). x != K(y,T((z \ u) \ K(w,v5),v6)) | K(y,T(K(v5,w) * (u \ z),v6)) = x. K(K(x,y) * z,T(K(x,y) * (u \ z),w)) = K(K(z,w) * (z \ K(y,x)),K(z,w) * ((z \ K(y,x)) * u)). K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T(K(u,z) * (w \ x),y)). L(x,y,K(K(z,u) * w,T(K(z,u) * (v5 \ w),v6))) = L(x,y,K(K(w,v6) * (w \ K(u,z)),v5)). L(x,y,K(K(z,u) * w,K(z,u) * (v5 \ w))) = L(x,y,K(K(w,v6) * (w \ K(u,z)),v5)). L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(K(v5,w) * z,K(v5,w) * (v6 \ z))). x != L(y,z,K(K(u,w) * v5,K(u,w) * v6)) | L(y,z,K(v5,v6)) = x. L(x,y,K(z,u \ z)) = L(x,y,K(K(z,w) * (z \ K(v5,v6)),u)). L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(z,v6 \ z)). x != L(y,z,K(u,w \ u)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,y,K(K(u,w) * (u \ K(v5,v6)),z)). L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(v6,z)). L(x,y,K(K(z,u) * w,v5)) != v6 | L(x,y,K(w,v5)) = v6. L(x,y,K(z \ K(u,w),v5)) = L(x,y,K(v5,z)). L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z \ K(u,w),v5)) = L(L(x,y,z \ K(u,w)),y,K(v5,z)). L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z \ K(u,w),v5)). L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. L(x,y,K(z \ K(u,w),v5)) = L(x,(z \ K(u,w)) * y,K(v5,z)). L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(y \ K(z,u),v5)). x != L(y,z,K(u \ K(w,v5),v6)) | L(y,z,K(v6,u)) = x. L(x,y,K(z,u)) = L(x,(u \ K(w,v5)) * y,K(z,u)). L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y)). L(x,y,T(z,u) \ K(w,v5)) = L(L(x,y,z \ K(w,v5)),y,K(u,z)). L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z,v5) \ K(u,w)). L(L(x,y,z \ K(u,w)),y,K(v5,z)) != v6 | L(x,y,T(z \ K(u,w),v5)) = v6. L(x,y,T(z \ K(u,w),v5)) = L(x,y,T(z,v5) \ K(u,w)). L(x,y,T(z,u) \ K(w,v5)) = L(x,y,T(z \ K(w,v5),u)). L(x,y,T(z \ 1,u) \ K(w,v5)) != v6 | L(x,y,K(w,v5) * T(z,u)) = v6. L(x,y,K(z,u) * T(w,v5)) = L(x,y,T((w \ 1) \ K(z,u),v5)). L(x,y,T((z \ 1) \ K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). L(x,y,K(z,u) * T(w,v5)) = L(x,y,T(w * K(z,u),v5)). L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) != v5 | a(x,K(y,z),T(u,w)) = v5. a(x,K(y,z),T(u,w)) = L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)). L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) != v5 | a(x,K(y,z),u) = v5. a(x,K(y,z),u) = a(x,K(y,z),T(u,w)). a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). x != a(y,K(z,u),w) | a(w,K(u,z),y) = x. a(x,K(y,z),u) = a(u,K(z,y),T(x,w)). a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). a(x,K(y,z),u) != w | a(u,K(z,y),x) = w. a(T(x,y),K(z,u),w) = a(w,K(u,z),x). a(x,K(y,z),u) = a(T(x,w),K(y,z),u). a(T(x,y),K(z,u),w) = a(x,K(z,u),w). a(L(x,y,K(z,u)),K(w,v5),v6) = a(v6,K(v5,w),x). a(x,K(y,z),u) != w | (x * (u * K(y,z))) \ ((x * K(y,T(z,u))) * u) = w. (T(x,y) * (z * K(u,w))) \ ((T(x,y) * K(u,T(w,z))) * z) = a(x,K(u,w),z). (T(x,y) * (z * K(u,w))) \ (L(T(x,y),K(u,w),z) * (z * K(u,w))) = a(x,K(u,w),z). (x * (y * z)) \ (L(x,z,y) * (y * z)) != u | ((y * z) * x) \ (y * (z * x)) = u. ((x * K(y,z)) * T(u,w)) \ (x * (K(y,z) * T(u,w))) = a(u,K(y,z),x). ((x * K(y,z)) * u) \ (T(x,u) * (K(y,z) * T(u,x))) = a(u,K(y,z),T(x,u)). ((x * K(y,z)) * u) \ T(x * (K(y,z) * u),K(x,u)) = a(u,K(y,z),T(x,u)). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). x != a(y,K(z,u),T(w,v5)) | a(w,K(u,z),y) = x. a(x,K(y,z),u) = ((x * K(z,y)) * u) \ (x * (K(z,y) * u)). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(x,K(z,y),u). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) != w | a(x / K(z,y),K(z,y),K(y,z) * u) = w. a(x / K(y,z),K(y,z),K(z,y) * u) = a(x,K(y,z),u). a(x,K(y,z),K(z,y) * u) = a(x * K(y,z),K(y,z),u). a(x * K(y,z),K(y,z),u) = a(x,K(y,z),K(z,y) * u). a(x * K(y,z),u,w) != v5 | a(K(y,z) * x,u,w) = v5. a(K(x,y) * z,K(x,y),u) = a(z,K(x,y),K(y,x) * u). K(x,y) * (((z \ y) * z) * x) = K(z \ y,z) * (x * y). K(((x \ K(y,z)) * (((u \ z) * u) * y)) \ (K(u \ z,u) * (y * z)),w) = K(x,L(T(w,K(y,z) * (((u \ z) * u) * y)),K(y,z),((u \ z) * u) * y)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (K(w \ u,w) * (z * u)),y). (a(x,y,K(z,u)) * ((y * z) \ 1)) * K(x,u) = ((K(u,x) * y) * z) \ 1. T(x \ y,K(y,z)) * K(z,y) = (x * K(y,z)) \ y. K(x,y) * (z \ y) = (z * K(y,x)) \ y. (x * K(y,z)) \ y = K(z,y) * (x \ y). T(x * K(y,z),K(z,y) * (x \ y)) = ((x * K(y,z)) \ y) \ y. K((x * (y \ z)) * T(K(u,z),y \ z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). K(x \ (T(y,z) * u),w) = K(x \ (((z * y) / z) * u),w). K(x \ (((y * z) / y) * u),w) = K(x \ (T(z,y) * u),w). K(x \ (((y * z) / y) * u),L(w,x,z \ 1)) != v5 | K((((y * z) / y) \ x) \ u,w) = v5. K((((x * y) / x) \ z) \ u,w) = K(z \ (T(y,x) * u),L(w,z,y \ 1)). x != K(y \ (T(z,u) * w),L(v5,y,z \ 1)) | K((T(z,u) \ y) \ w,v5) = x. K((T(x,y) \ z) \ u,w) = K((((y * x) / y) \ z) \ u,w). K((((x * y) / x) \ z) \ u,w) = K((T(y,x) \ z) \ u,w). K((K(x,y) * (x \ z)) \ u,w) = K((T(x,y) \ z) \ u,w). K(((x \ y) \ z) * K(u,x),w) = K((T(x,u) \ y) \ z,w). K((x * T(y,z)) / (x * z),u) != w | K(y / z,L(T(u,x * z),z,x)) = w. K(x / y,L(T(z,u * y),y,u)) = K((u * x) / (u * T(y,x)),z). K((x * y) / (x * T(z,y)),u) = K(y / z,L(T(u,x * z),z,x)). (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). K((T(x,T(y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). x != K(y / z,L(T(u,w * z),z,w)) | K((w * z) \ (y * T(w,z)),u) = x. K((x * y) \ (z * T(x,y)),u) = K((x * z) / (x * T(y,z)),u). K((x * y) \ (z * T(x,y)),u) != w | K((y * x) \ (z * x),u) = w. K((x * y) \ (z * y),u) = K((y * z) / (y * T(x,z)),u). K((x * y) / (x * T(z,y)),u) = K((z * x) \ (y * x),u). x != K((y * (z / y)) \ u,w) | K(T(z,y) \ u,w) = x. K(T(x,y) \ (z * (x / y)),u) = K(((x / y) * z) / ((x / y) * T(y,z)),u). K(((x / y) * z) / ((x / y) * T(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). K(((x / y) * z) / (x * K(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). K(((x / y) * z) * (x \ K(z,y)),u) = K(T(x,y) \ (z * (x / y)),u). K((x * y) * (z \ K(y,u)),w) != v5 | K((x * T(y,u)) / z,w) = v5. K(((x / y) * T(z,y)) / x,u) = K(T(x,y) \ (z * (x / y)),u). x != K(T(y,z) \ (u * (y / z)),w) | K(y \ (u * (z \ y)),w) = x. K(x \ (y * (z \ x)),u) = K(((x / z) * T(y,z)) / x,u). K(((x / y) * T(z,y)) / x,u) = K(x \ (z * (y \ x)),u). K((((x \ 1) / y) * T(z,y)) * x,u) = K((x \ 1) \ (z * (y \ (x \ 1))),u). K((x \ 1) \ (y * (z \ (x \ 1))),u) = K((((x \ 1) / z) * T(y,z)) * x,u). K(((x / y) * T(z,y)) / x,u) != w | K(((x / T(y,z)) * z) / x,u) = w. K(((x / T(y,z)) * z) / x,u) = K(x \ (z * (y \ x)),u). K(x \ K(y \ (z * (u \ y)),w),((y / T(u,z)) * z) / y) = K(x,(((y / T(u,z)) * z) / y) \ 1). K(x,((y / T(z,u)) * u) / y) != w | K(x,y \ (u * (z \ y))) = w. K(x \ K(y \ (z * (u \ y)),w),y \ (z * (u \ y))) = K(x,(((y / T(u,z)) * z) / y) \ 1). K(x,(y \ (z * (u \ y))) \ 1) = K(x,(((y / T(u,z)) * z) / y) \ 1). K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(y \ (u * (z \ y))) \ 1). K(x,(y * (z \ u)) \ u) = K(x,(((u / T(z,y)) * y) / u) \ 1). K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(u * (z \ y)) \ y). K(x,y / ((y / T(z,u)) * u)) = K(x,(u * (z \ y)) \ y). K(x * (y * (z \ (x \ 1))),u) = K((((x \ 1) / z) * T(y,z)) * x,u). K((((x \ 1) / y) * T(z,y)) * x,u) = K(x * (z * (y \ (x \ 1))),u). K(x / (y * K(z,u)),w) != v5 | K((x / y) * K(u,z),w) = v5. K(((x * y) / x) * K(z,u),w) = K(K(z,u) * y,T(w,x)). K(((x * y) / x) * z,u) != w | K(T(y,x) * z,u) = w. K(T(x,y) * K(z,u),w) = K(K(z,u) * x,T(w,y)). K(K(x,y) * T(z,u),w) = K(K(y,x) * z,T(w,u)). K(x * T(y * z,y),u) != w | K(x * (z * y),u) = w. K(K(x,y) * (z * u),w) = K(K(y,x) * (u * z),T(w,u)). K(K(x,y) * (z * u),T(w,z)) = K(K(y,x) * (u * z),w). K((x * y) * (z * K(u,w)),v5) = K(((x * K(w,u)) * y) * z,v5). K(((x * K(y,z)) * u) * w,v5) = K((x * u) * (w * K(z,y)),v5). K(((x * K(y,z)) * (u \ 1)) * w,v5) != v6 | K((u * (K(z,y) / x)) \ w,v5) = v6. K((x * (K(y,z) / u)) \ w,v5) = K((u * (x \ 1)) * (w * K(y,z)),v5). K((x * (y \ 1)) * (z * K(u,w)),v5) = K((y * (K(u,w) / x)) \ z,v5). K((x * (y \ 1)) * (z * K(u,w)),v5) != v6 | K((x * (y \ K(u,w))) * z,v5) = v6. K((x * (y \ K(z,u))) * w,v5) = K((y * (K(z,u) / x)) \ w,v5). K((x * (K(y,z) / u)) \ w,v5) = K((u * (x \ K(y,z))) * w,v5). T(x * K((y * ((z \ 1) \ K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). T(x * K((y * (z * K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). T(x * K((y * z) * (x * K(u,w)),v5),1 \ ((y * K(u,w)) * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). T(x * K((y * z) * (x * K(u,w)),v5),(y * K(u,w)) * z) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). T(x * K((y * z) * (x * K(u,w)),v5),K(u,w) * (y * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,1 \ ((z * K(x,y)) * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,(z * K(x,y)) * u) = K(v5,w / (((z * K(x,y)) * u) \ 1)). ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,K(x,y) * (z * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). K(x,y * (K(z,u) * (w * v5))) = K(x,y / (((w * K(z,u)) * v5) \ 1)). K(x,y / (((z * K(u,w)) * v5) \ 1)) = K(x,y * (K(u,w) * (z * v5))). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (K(u,w) * (z * v5))). K(x,K(y,z) * ((u * K(w,v5)) * T(v6 \ y,u))) != v7 | K(x,(v6 \ T(y,z)) * (K(w,T(v5,u * (v6 \ y))) * u)) = v7. K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * (v6 * T(y \ z,v6)))). K(x,K(y,K(z,u) * w) * (((v5 \ w) * K(z,T(u,w))) * v6)) != v7 | K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6) = v7. K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,K(v5,K(u,w) * z) * (K(u,T(w,z)) * ((y \ z) * v6))). K(x,K(y,K(z,u) * w) * (K(z,T(u,w)) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * ((y \ z) * v6))). K(x,(y \ T(z,u)) * (K(w,v5) * v6)) = K(x,K(z,u) * (K(w,v5) * ((y \ z) * v6))). K(x,K(y,z) * (K(u,w) * ((v5 \ y) * v6))) = K(x,(v5 \ T(y,z)) * (K(u,w) * v6)). K(x,K(y,K(z,u) * w) * (K(z,u) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). K(x,K(y,z) * (K(u,w) * ((v5 \ y) * v6))) = K(x,(L(v5,y,K(u,w)) \ T(K(u,w) * y,z)) * v6). K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,K(z,v5) * (K(u,w) * ((y \ z) * v6))). x != K(y,K(z,u) * (K(w,v5) * ((v6 \ z) * v7))) | K(y,(v6 \ T(z,u)) * (K(w,v5) * v7)) = x. K(x,(y \ T(z,u)) * (K(w,v5) * v6)) = K(x,(L(y,z,K(w,v5)) \ T(K(w,v5) * z,u)) * v6). K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,(y \ T(z,v5)) * (K(u,w) * v6)). K(x,(L(y,z,K(u,w)) \ v5) * v6) != v7 | K(x,(y \ v5) * v6) = v7. K(x,(y \ T(K(z,u) * w,v5)) * v6) = K(x,(y \ T(w,v5)) * (K(z,u) * v6)). K(x,(y \ T(K(z \ u,z) * (w * z),w)) * v5) != v6 | K(x,(y \ ((u / (u / z)) * w)) * v5) = v6. K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ T(w * u,w)) * (K(u \ z,u) * v5)). K(x,(y \ T(z * u,z)) * (K(u \ w,u) * v5)) = K(x,(y \ ((w / (w / u)) * z)) * v5). K(x,K(y,z) * ((u \ T(w * y,w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). K(x,y * ((z \ T(u * w,u)) * v5)) != v6 | K(x,y * ((z \ (w * u)) * v5)) = v6. K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). K(x,K(y,z) * ((u \ (y * w)) * v5)) != v6 | K(x,(u \ (T(y,z) * w)) * v5) = v6. K(x,(y \ (T(z,u) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (T(u,z) * w)) * v5). K(x,(y \ ((z / (z / u)) * w)) * v5) != v6 | K(x,(y \ (T(u,u \ z) * w)) * v5) = v6. K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). K(x,(y \ (((z \ u) \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). K(x,(y \ (((z \ u) \ u) * T(w,z))) * v5) != v6 | K(x,(y \ (w * ((z \ u) \ u))) * v5) = v6. K(x,(y \ (z * ((u \ w) \ w))) * v5) = K(x,(y \ (T(u,w) * T(z,u))) * v5). K(x,(y \ (T(z,u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). K(x,(y \ (K(z,u) * (w * z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * ((z \ y) \ y))) * v5). K(x,K(y,z) * ((u \ (w * z)) * v5)) != v6 | K(x,(u \ (w * T(z,y))) * v5) = v6. K(x,(y \ (z * T(u,w))) * v5) = K(x,(y \ (z * ((u \ w) \ w))) * v5). K(x,(y \ (z * ((u \ w) \ w))) * v5) = K(x,(y \ (z * T(u,w))) * v5). K(x * (T(y,T(z,u)) \ w),v5) != v6 | K(x * (T(y,z) \ w),v5) = v6. K(x * (T(y,z) \ u),w) = K(x * ((y \ u) * K(y,z)),w). K(x * ((y \ z) * K(y,u)),w) = K(x * (T(y,u) \ z),w). K(x * (y * K(z * u,u)),w) != v5 | K(K(u,z) * (x * y),w) = v5. K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,x) \ u),w). K(x,L(y,z,L(u \ 1,u,w))) = K(x,L(y,z,u \ 1)). K(x,L(T(y * z,z \ 1) \ u,y,L(z \ 1,z,y))) != w | K(x,y \ (L(z \ 1,z,y) * u)) = w. K(x,y \ (L(z \ 1,z,y) * u)) = K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (L(z \ 1,z,y) * u)). T(x,(y * z) \ u) = T(x,(T(z,y) * y) \ u). T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). T(x,T((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. T(x,y / (T(z,u) * u)) = T(x,T((u * z) \ y,u * z)). T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). T(x,T(y \ z,y)) != u | T(x,z / y) = u. T(x,y / (z * u)) = T(x,y / (T(u,z) * z)). T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). K(x,(K(y,z) / (u / (y * z))) * T(w,u / (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). ((K(x,y) / (z * u)) * z) * a(y,u,K(x,z)) = K(x,y) / L(u,z,z \ 1). (x * y) * a(z,u,K(w,y)) != v5 | x * L(y,u,K(z,w)) = v5. (K(x,y) / (z * u)) * L(z,u,K(y,x)) = K(x,y) / L(u,z,z \ 1). T(K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u). K((x * (y \ z)) * K(u,z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * ((K(z,y \ 1) * (u * (y \ 1))) \ w),v5). x != K(y * ((K(z,u) * w) \ v5),v6) | K(y * ((w \ v5) * K(u,z)),v6) = x. K(x * (((y * (z \ 1)) \ u) * K(z \ 1,w)),v5) = K(x * (T((z \ K(w,z \ 1)) * y,z) \ u),v5). K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y \ 1,z)),v5). K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z \ 1)),v5). x != K(y * (z * K(u,w \ 1)),v5) | K(y * (z * K(u,w)),v5) = x. K(x * (((y * (z \ 1)) \ u) * K(z,w)),v5) = K(x * (T((z \ K(w,z \ 1)) * y,z) \ u),v5). K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z)),v5). K(x * (T(y * (z \ 1),z) \ u),w) = K(x * (((y * (z \ 1)) \ u) * K(z,y)),w). K(x * (((y * (z \ 1)) \ u) * K(z,y)),w) = K(x * (T(y * (z \ 1),z) \ u),w). K(x * (((y * z) \ u) * K(w,y)),v5) != v6 | K(x * ((T(y,w) * z) \ u),v5) = v6. K(x * ((T(y,z) * (z \ 1)) \ u),w) = K(x * (T(y * (z \ 1),z) \ u),w). K(x * ((T(y,z) * (z \ 1)) \ u),w) != v5 | K(x * ((y * (T(z,y) \ 1)) \ u),w) = v5. K(x * ((y * (T(z,y) \ 1)) \ u),w) = K(x * (T(y * (z \ 1),z) \ u),w). K(x * (T(y * (z \ 1),z) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). K(K(x / T(y,z),u) * ((y \ x) * (y * K(z,y))),w) != v5 | K(T(T(x / T(y,z),y),u) * y,w) = v5. K(T(T(x / T(y,z),y),u) * y,w) = K(K(x / T(y,z),u) * ((y \ x) * T(y,z)),w). K(K(x / T(y,z),u) * ((y \ x) * T(y,z)),w) = K(T(T(x / T(y,z),y),u) * y,w). K(x * ((y \ z) * T(y,u)),w) != v5 | K(x * T(z * K(y,u),y),w) = v5. K(K(x / T(y,z),u) * T(x * K(y,z),y),w) = K(T(T(x / T(y,z),y),u) * y,w). K(K(x,y) * T(z,u),w) != v5 | K(K(y,x) * z,T(w,u)) = v5. K(K(x,y / T(z,u)) * (y * K(z,u)),T(w,z)) = K(T(T(y / T(z,u),z),x) * z,w). K(x * (K(y,z) * K(u,T(y,z) \ x)),T(w,y)) = K(T(T(x / T(y,z),y),u) * y,w). K(x,K(y \ K(z,u),K(z,u) * (y * w)) * (w \ v5)) = K(x,T(w,K(z,u) / y) \ v5). K(x,K(y * z,y \ K(u,w)) * (z \ v5)) = K(x,T(z,K(u,w) / y) \ v5). K(x,K(y,z \ K(u,w)) * v5) != v6 | K(x,K(z,y) * v5) = v6. K(x,K(y,y * z) * (z \ u)) = K(x,T(z,K(w,v5) / y) \ u). K(x,T(y,K(z,u) / w) \ v5) = K(x,K(w,w * y) * (y \ v5)). x != K(y,K(z,z * u) * (u \ w)) | K(y,T(u,z * u) \ w) = x. K(x,T(y,z * y) \ u) = K(x,T(y,K(w,v5) / z) \ u). K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w * y) \ v5). x != K(y,T(z,u * z) \ w) | K(y,T(z,u) \ w) = x. K(x,T(y,z) \ u) = K(x,T(y,K(w,v5) / z) \ u). K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w) \ v5). 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,T(y \ 1,z \ K(u,w)) \ v5) != v6 | K(x,T(y,K(w,u) * z) * v5) = v6. K(x,T(y,K(z,u) * w) * v5) = K(x,T(y \ 1,w) \ v5). x != K(y,T(z \ 1,u) \ w) | K(y,T(z,u) * w) = x. K(x,T(y,z) * u) = K(x,T(y,K(w,v5) * z) * u). K(x,T(y,K(z,u) * w) * v5) = K(x,T(y,w) * v5). K(x,T(y,K(z,u) * (w * v5)) * v6) != v7 | K(x,T(y,v5 \ (w \ K(u,z))) * v6) = v7. K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,u * z) * v6). K(x,T(y,K(z,u) * (w \ u)) * v5) != v6 | K(x,T(y,T(u,z) \ w) * v5) = v6. K(x,T(y,T(z,u) \ w) * v5) = K(x,T(y,w \ z) * v5). K(x,T(y,z * u) * w) = K(x,T(y,T(z,v5) * u) * w). K(x,T(y,T(z,u) * w) * v5) = K(x,T(y,z * w) * v5). K(x,T(y,z * u) * w) = K(x,T(y,z * (K(v5,v6) * u)) * w). K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,T(y,z * v5) * v6). x != K(y,T(z,u) * w) | K(y,w * T(z,u)) * K(y,K(w,T(z,v5))) = x. K(x,y * T(z,u * w)) * K(x,K(y,T(z,v5))) = K(x,T(z,u * (K(v6,v7) * w)) * y). K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,v6 * T(y,z * v5)) * K(x,K(v6,T(y,v7))). K(x,T(y,z / u) * w) = K(x,T(y,z \ u) * w). K(x,y * T(z,u * (K(w,v5) * v6))) = K(x,y * T(z,u * v6)). K(x,y * T(z,u)) = K(x,y * T(z,K(w,v5) * u)). K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)). K(x,y * T(z,K(u,w) * (v5 \ w))) != v6 | K(x,y * T(z,T(w,u) \ v5)) = v6. K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,v5 \ u)). K(x,y * T(z,u / w)) = K(x,y * T(z,u \ w)). K(x,y * T(z,u * (w \ 1))) = K(x,y * T(z,u \ w)). K(x,(K(y,z) / (u / (y * z))) * T(w,u / (z * y))) != v5 | K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))) = v5. K(x,y * (K(z,u) \ ((w / (u * z)) \ 1))) = K(x,(K(u,z) / (w / (u * z))) * T(y,w \ (z * u))). K(x,(K(y,z) / (u / (y * z))) * T(w,u \ (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). K(x,(K(y,z) / u) * w) != v5 | K(x,K(z,y) * (u \ w)) = v5. K(x,K(y,z) * ((u / (z * y)) \ T(w,u \ (y * z)))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). K(x,K(y,z) * ((u / (z * y)) \ w)) != v5 | K(x,(u / (y * z)) \ w) = v5. K(x,(y / (z * u)) \ T(w,y \ (z * u))) = K(x,w * (K(z,u) \ ((y / (u * z)) \ 1))). K(x,((y / z) \ 1) * T(u,y * (z \ 1))) != w | K(x,u * ((z \ 1) \ (y \ 1))) = w. K(x,y * ((z \ 1) \ (u \ 1))) = K(x,((u / z) \ 1) * T(y,u \ z)). K(x,((y / z) \ 1) * T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((y / z) \ 1)). K(x,y / (z / u)) = K(x,(z / u) \ T(y,z \ u)). K(x,(y / z) \ T(u,y \ z)) = K(x,u / (y / z)). K(x,(y / (z * u)) \ T(w,y \ (z * u))) != v5 | K(x,w * (K(z,u) \ ((y / (u * z)) \ 1))) = v5. K(x,y * (K(z,u) \ ((w / (u * z)) \ 1))) = K(x,y / (w / (z * u))). K(x,y * (K(z,u) * ((w / (z * u)) \ 1))) = K(x,y / (w / (u * z))). K(x,y * (K(z,u) / (w / (z * u)))) = K(x,y / (w / (u * z))). K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (w * u))). K(x,y * ((z / (u * w)) \ K(u,w))) != v5 | K(x,y / (z / (T(u,w) * w))) = v5. K(x,y / (z / (T(u,w) * w))) = K(x,y / (z / (w * u))). K(x,y / (z / (T(u,w) * T(T(w,v5),v5)))) = K(x,y / (z / (T(T(w,v5),v5) * u))). K(x,y / (z / (T(u * K(w,v5 \ 1),w \ 1) * T(w \ 1,v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). K(x,K(y \ (z \ u),w) * v5) = K(x,v5 * K(w,T((z * y) \ u,v6))). K(x,y * K(z,T((u * w) \ v5,v6))) = K(x,K(w \ (u \ v5),z) * y). K(x,y * K(z,T(u \ (w \ 1),v5))) != v6 | K(x,K(w * u,z) * y) = v6. K(x,K(y * (z * u),w) * v5) = K(x,K(u \ (z \ (y \ 1)),w) * v5). K(x,K(y \ (z \ (u \ 1)),w) * v5) = K(x,K(u * (z * y),w) * v5). K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(w * (u * z),y) * v5). K(x,K(y,z \ (u \ (w \ 1))) * v5) != v6 | K(x,K(y,z * (w / (u \ 1))) * v5) = v6. K(x,K(y,z * (u / (w \ 1))) * v5) = K(x,K(u * (w * z),y) * v5). K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K(z * (u * y),w) * v5). ((K(x,T(y,z)) * u) \ w) \ 1 = ((K(x,y) * u) \ w) \ K(x,K(y,z)). ((K(x,y) * z) \ u) \ K(x,K(y,w)) = ((K(x,T(y,w)) * z) \ u) \ 1. K(x,K(y,(K(z,T(u,w)) * v5) \ v6)) * K(x,y * (((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1))) = K(x,(((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1)) * y). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,R(y,z,z \ 1) \ ((z \ 1) * u)). x != K(y,R(z,u,u \ 1) \ w) | K(y,L(z,u,u \ 1) \ w) = x. K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,L(y,z,z \ 1) \ ((z \ 1) * u)). x != K(y,L(z,u,u \ 1) \ ((u \ 1) * w)) | K(y,z \ (u \ w)) = x. K(x,y \ (z \ u)) = K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (z \ u)). K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) != w | K(x,y \ (L(z \ 1,z,y) * u)) = w. K(x,y \ (L(z \ 1,z,y) * u)) = K(x,y \ (z \ u)). K(x,T(y,z) \ (L(u \ 1,u,y) * w)) = K(x,T(y,z) \ (u \ w)). ((x * T(y,K(z,u))) * K(w,v5)) * a(v5,y,K(w,x)) = x * T(y * K(w,v5),K(z,u)). (x * T(y,K(z,u))) * (a(w,y,K(v5,x)) * K(v5,w)) = x * T(y * K(v5,w),K(z,u)). (x * T(y,K(z,u))) * K(w,L(v5,y,x)) = x * T(y * K(w,v5),K(z,u)). (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T((K(z,u) / y) * K(w,v5),K(z,u)). K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * T(z,K(v5,v6)))) * (v7 * K(L(w,z,y),u)),v8). K((x * (y * T(z,K(u,w)))) * (v5 * K(L(v6,z,y),v7)),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T(K(z,u) * (y \ K(w,v5)),K(z,u)). (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * ((y \ K(w,v5)) * K(z,u)). (x * (y \ K(z,u))) * K(w,L(v5,y,x \ 1)) = x * ((y \ K(w,v5)) * K(z,u)). (x * (y \ K(y,z))) * K(u,L(w,y,x \ 1)) != v5 | (x * K(y,z)) * ((y \ 1) * K(u,w)) = v5. (x * K(y,z)) * ((y \ 1) * K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). (x * K(y,z)) * (y \ K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). (x * K(y,z \ 1)) * (y \ K(y,u)) != w | (x * T(y \ 1,z)) * K(y,u) = w. (x * T(y \ 1,z)) * K(y,u) = x * ((y \ K(y,u)) * K(y,z \ 1)). x * ((y \ K(y,z)) * K(y,u \ 1)) = (x * T(y \ 1,u)) * K(y,z). x * (K(y,z) * (y \ K(y,u \ 1))) = (x * T(y \ 1,u)) * K(y,z). x * (K(y,z) * T(y \ 1,u)) = (x * T(y \ 1,u)) * K(y,z). (x * T(y \ 1,z)) * K(y,u) = x * (K(y,u) * T(y \ 1,z)). (T(x,y \ 1) * T(y \ 1,z)) * K(y,u \ 1) != w | T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = w. T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = T(x,y \ 1) * (K(y,u \ 1) * T(y \ 1,z)). K(x,y / (z / (T(u,w \ 1) * (K(w,v5 \ 1) * T(w \ 1,v5))))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). K(x,y / (z / (T(u,w \ 1) * T(K(w,v5 \ 1) * (w \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). K(x,y / (z / (T(u,w \ 1) * T(w \ K(w,v5 \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). K(x,y / (z / (T(u,w \ 1) * T(T(w \ 1,v5),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(v5,u \ 1) * T(T(u \ 1,w),w)))). x != K(y,z / (u / (T(w,v5) * T(T(v5,v6),v6)))) | K(y,z / (u / (T(T(v5,v6),v6) * w))) = x. K(x,y / (z / (T(T(u \ 1,w),w) * v5))) = K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))). K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). K(x,y / (z / (K(u,w \ 1) * (T(u \ 1,w) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (K(a(x,y,z),u) * v6). (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (a(x,y,K(z,u)) * v6). x * (a(y,z,K(u,w)) * K(v5,v6)) = K(v5,v6) * (a(y,z,K(u,w)) * T(x,a(y,z,K(u,w)) * K(v5,v6))). K(x,y) * (a(z,u,K(w,v5)) * T(v6,a(z,u,K(w,v5)) * K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). K(x,y) * (a(z,u,K(w,v5)) * T(v6,K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). K(x,y) * T(a(z,u,K(w,v5)) * v6,K(x,y)) = v6 * (a(z,u,K(w,v5)) * K(x,y)). (a(x,y,K(z,u)) * w) * K(v5,v6) = w * (a(x,y,K(z,u)) * K(v5,v6)). (a(x,y,K(z,u)) * ((y * z) \ 1)) * K(x,u) != w | ((K(u,x) * y) * z) \ 1 = w. ((K(x,y) * z) * u) \ 1 = ((z * u) \ 1) * (a(y,z,K(u,x)) * K(y,x)). ((x * y) \ 1) * (a(z,x,K(y,u)) * K(z,u)) = ((K(u,z) * x) * y) \ 1. (x * (y * a(z,u,K(y,w)))) * K(v5,v6) = (x * y) * (a(z,u,K(y,w)) * K(v5,v6)). K((x * y) * (a(z,x,K(y,u)) * K(u,z)),w) = K((K(z,u) * x) * y,w). K((x * y) * K(z,u),w) = K((K(u,z) * x) * y,w). K((K(x,y) * z) * u,w) = K((z * u) * K(y,x),w). K(x * (y * K(z,u)),w) = K((x * y) * K(u,z),w). K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). K((x * y) * K(z,u),w) = K((K(u,T(z,v5)) * x) * y,w). K((K(x,T(y,z)) * u) * w,v5) = K((u * w) * K(y,x),v5). x != K(y * K(z,z \ u),w) | K(K(z,u) * y,w) = x. K(K(x,y) * (z * u),w) = K((K(x \ y,T(x,v5)) * z) * u,w). K((K(x \ y,T(x,z)) * u) * w,v5) = K(K(x,y) * (u * w),v5). K(x * (y * K(z \ u,z)),w) = K(K(z,u) * (x * y),w). K((K(x \ y,T(x,z * y)) * (z * y)) * u,w) != v5 | K((z * ((x \ y) * x)) * u,w) = v5. K((x * ((y \ z) * y)) * u,w) = K(K(y,z) * ((x * z) * u),w). K(K(x,y) * ((z * y) * u),w) = K((z * ((x \ y) * x)) * u,w). x != K((y * ((z \ u) * z)) * w,v5) | K((y * T(u,z)) * w,v5) = x. K((x * T(y,z)) * u,w) = K(K(z,y) * ((x * y) * u),w). K(K(x,y) * ((z * y) * u),w) = K((z * T(y,x)) * u,w). K(K(x,y) * ((z * x) * u),w) = K((z * T(x,y)) * u,w). K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K((z * u) * v5,v6) * (y * v7)). K(K(x,y) * ((z * (y * x)) * u),w) = K((z * T(y * x,x)) * u,w). x != K((y * T(z,u)) * w,T(v5,y * z)) | K(w * (y * T(z,u)),v5) = x. K(x * (y * T(z,u)),w) = K(K(z,u) * ((y * z) * x),T(w,y * z)). K(K(x,y) * ((z * x) * u),T(w,z * x)) = K(u * (z * T(x,y)),w). K(K(x,y * z) * u,w) != v5 | K(K(x,z \ (y \ 1)) * u,w) = v5. K(K(x,y \ (z \ 1)) * ((u * x) * w),v5) = K((u * T(x,z * y)) * w,v5). K(K(L(x,y,z),u) * ((z * (y * x)) * w),v5) = K(((z * y) * T(L(x,y,z),u)) * w,v5). K((x \ y) * K((z * T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K(K(u,w) * ((z * u) * v5),v6)),v7) = v8. K(K(x,y) * ((z * x) * u),w) != v5 | K((z * T(x,y)) * u,w) = v5. K((x * T(y,z \ (u \ 1))) * w,v5) = K((x * T(y,u * z)) * w,v5). K(K(x,y) * (z * u),T(w,z)) != v5 | K(K(y,x) * (u * z),w) = v5. K(K(x,y) * (z * (u * y)),w) = K(z * (u * T(y,x)),w). K(K(x,y) * (z * (u * y)),w) != v5 | K(z * (u * (((x \ 1) \ y) * (x \ 1))),w) = v5. K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * T(u,z)),w). K(x * (y * T(z,u \ 1)),w) = K(x * (y * T(z,u)),w). K(x * ((y * (z * u)) * K(w \ u,w)),v5) != v6 | K(x * (y * (z * ((w \ u) * w))),v5) = v6. K(x * (y * (z * ((u \ w) * u))),v5) = K(K(u,w) * (x * (y * (z * w))),v5). K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * ((x \ y) * x))),v5). x != K((y \ 1) * (z * K(u,w)),v5) | K((y \ z) * K(u,w),v5) = x. K((x \ y) * K(z,u),w) = K(((x \ 1) * y) * K(u,z),w). K(((x \ 1) * y) * K(z,u),w) = K((x \ y) * K(u,z),w). K(x * K(T(y,z) \ u,w),v5) != v6 | K(K(y \ u,w) * x,v5) = v6. K(K(x \ y,z) * (u * w),v5) = K(u * (w * K(z,T(x,v6) \ y)),v5). K(x * (y * K(z,T(u,w) \ v5)),v6) = K(K(u \ v5,z) * (x * y),v6). K(x * K(y,y * z),u) != w | K(K(z,y) * x,u) = w. K(K(x,y) * (z * u),w) = K(z * (u * K(y * x,y)),w). K(x * (y * K(z * u,z)),w) = K(K(u,z) * (x * y),w). K(x * K(y \ z,y),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * (z * u),w) = K(z * (u * K(x,x \ y)),w). K(x * (y * K(z,z \ u)),w) = K(K(z,u) * (x * y),w). K(x * ((y \ z) * K(z,u)),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). K((x * y) * (z * K(x,x \ u)),w) != v5 | K((T(x,T(u / x,v6)) * y) * z,w) = v5. K((T(x,T(y / x,z)) * u) * w,v5) = K(K(x,y) * ((x * u) * w),v5). x != K(K(y,z) * ((y * u) * w),v5) | K((T(y,z) * u) * w,v5) = x. K((T(x,y) * z) * u,w) = K((T(x,T(y / x,v5)) * z) * u,w). K((T(x,T(y / x,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). K((T(x,T(x \ y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). K((((x \ y) \ y) * z) * u,w) = K((T(x,y) * z) * u,w). K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) != w | K(L(y,x,x \ 1) * z,u) = w. K(L(x,y,y \ 1) * z,u) = K((T(y * x,x) * (y \ 1)) * z,u). K((T(x * y,y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). K(x * (K(y,z) * K(u,T(y,z) \ x)),T(w,y)) != v5 | K(T(T(x / T(y,z),y),u) * y,w) = v5. K(T(T(x / T(y,z),y),u) * y,w) = K(K(y \ x,u) * (x * K(y,z)),T(w,y)). K(K(x \ y,z) * (y * K(x,u)),T(w,x)) = K(T(T(y / T(x,u),x),z) * x,w). K(x * (K(x / y,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). K(x * (K(y \ x,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). K(T(x / y,z) * T(y,u),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). K(T(T(x / T(y,z),y),u) * y,w) = K(T(x / y,u) * T(y,z),T(w,y)). x != K(y * T(z,u),T(w,z)) | K(T(z,u) * y,w) = x. K(T(x,y) * T(z / x,u),w) = K(T(T(z / T(x,y),x),u) * x,w). K(T(T(x / T(y,z),y),u) * y,w) = K(T(y,z) * T(x / y,u),w). K(x * T(y / T(x,z),u),w) = K(T(x,z) * T(y / x,u),w). K(T(x,y) * T(z / x,u),w) = K(x * T(z / T(x,y),u),w). ((x * y) \ 1) * K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. (x * y) \ K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. x != ((K(y,z) * u) * w) \ 1 | (w \ 1) * (u \ K(z,y)) = x. (x \ 1) * (y \ K(z,u)) = (y * x) \ K(z,L(u,y,x)). (x * y) \ K(z,L(u,x,y)) = (y \ 1) * (x \ K(z,u)). (x * y) \ K(z,K(u,w)) = (y \ 1) * (x \ K(z,K(u,w))). (x \ 1) * (y \ K(z,K(u,w))) = (y * x) \ K(z,K(u,w)). T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y * ((u * z) \ K(v5,w))). T(x,(y \ R(y,z,y)) * ((u \ 1) * (w \ K(z,y)))) != v5 | T(x,(w * L(u,w,K(z,y))) \ (K(y,y * z) \ 1)) = v5. T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((y * z) \ K(w,u))). T(x,y * ((z \ 1) * (u \ K(w,v5)))) != v6 | T(x,y / ((u * K(v5,w)) * z)) = v6. T(x,y / ((z * K(u,w)) * v5)) = T(x,y * ((z * v5) \ K(u,w))). T(x,T(y,K(z,u) * (w * v5)) / ((w * K(z,u)) * v5)) != v6 | T(x,((w * K(z,u)) * v5) \ y) = v6. T(x,((y * K(z,u)) * w) \ v5) = T(x,T(v5,K(z,u) * (y * w)) * ((y * w) \ K(z,u))). T(x,T(y,K(z,u) * (w * v5)) * ((w * v5) \ K(z,u))) = T(x,((w * K(z,u)) * v5) \ y). T(x,T(y,K(z,u) * w) * v5) != v6 | T(x,T(y,w) * v5) = v6. T(x,T(y,z * u) * ((z * u) \ K(w,v5))) = T(x,((z * K(w,v5)) * u) \ y). T(x,T(y,z) * (z \ K(u,w))) != v5 | T(x,(z \ y) * K(u,w)) = v5. T(x,((y * z) \ u) * K(w,v5)) = T(x,((y * K(w,v5)) * z) \ u). T(x,((y * K(z,u)) * w) \ v5) = T(x,((y * w) \ v5) * K(z,u)). T(L(x,K(y,z),u),((u * K(z,y)) * x) \ u) != w | (u \ ((u * K(z,y)) * x)) * K(y,z) = w. (x \ ((x * K(y,z)) * u)) * K(z,y) = T(L(u,K(z,y),x),((x * u) \ x) * K(y,z)). T(L(x,K(y,z),u),((u * x) \ u) * K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). T(x,(y * T(z,u)) \ w) = T(x,((y * z) \ w) * K(z,u)). T(x,((y * z) \ u) * K(z,w)) = T(x,(y * T(z,w)) \ u). T(x,((y * z) \ y) * K(u,w)) != v5 | T(x,z \ K(u,w)) = v5. T(L(x,K(y,z),u),x \ K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). L(T(x,x \ K(y,z)),K(z,y),u) = (u \ ((u * K(y,z)) * x)) * K(z,y). L(T(x,K(y,z)),K(y,z),u) = (u \ ((u * K(z,y)) * x)) * K(y,z). (x \ ((x * K(y,z)) * u)) * K(z,y) = L(T(u,K(z,y)),K(z,y),x). x != T(y,(z \ R(z,u,z)) * w) | T(y,w) = x. T(x,(y * z) \ K(u,w)) = T(x,(y * L(z,y,K(w,u))) \ (K(u,u * w) \ 1)). T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(y * z) \ K(w,u)). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(y * z) \ K(w,u)). T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) != v5 | T(x,z \ (y \ K(u,w))) = v5. T(x,y \ (z \ K(u,w))) = T(x,(z * y) \ K(w,u)). T(x,(y * z) \ K(u,w)) = T(x,z \ (y \ K(w,u))). T(x,(((y * K(z,u)) * w) \ 1) \ K(v5,v6)) = T(x,(K(u,z) / y) \ ((w \ 1) \ K(v6,v5))). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. T(x,((y * K(z,u)) * w) * K(v5,v6)) = T(x,(K(u,z) / y) \ ((w \ 1) \ K(v6,v5))). T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,((u * K(z,y)) * w) * K(v6,v5)). x != T(y,(z * u) * K(w,v5)) | T(y,z * (u * K(w,v5))) = x. T(x,(y * K(z,u)) * (w * K(v5,v6))) = T(x,(K(u,z) / y) \ ((w \ 1) \ K(v6,v5))). T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,(u * K(z,y)) * (w * K(v6,v5))). x != T(y,(z * K(u,w)) * v5) | T(y,K(u,w) * (z * v5)) = x. T(x,K(y,z) * (u * (w * K(v5,v6)))) = T(x,(K(z,y) / u) \ ((w \ 1) \ K(v6,v5))). T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). T(x,(K(y,z) / u) \ (w * K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). T(x,y \ (z * K(u,w))) != v5 | T(x,(y \ z) * K(u,w)) = v5. T(x,((K(y,z) / u) \ w) * K(v5,v6)) = T(x,K(z,y) * (u * (w * K(v6,v5)))). K(x,T(y,K(z,u) * (w * (v5 * K(z,u))))) * (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) = (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) * K(x,y). K(x,T(y,z * u)) * (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) = (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) * K(x,y). K(x,T(y,z * u)) * ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) * K(x,y). K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((z * K(w,v5)) * (K(v5,w) * u)) * K(x,y). ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). a(x,K(y,z),K(z,y) * u) = ((x * u) * K(w,v5)) \ (((x * K(y,z)) * (K(z,y) * u)) * K(w,v5)). ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = a(x,K(w,v5),K(v5,w) * y). ((x * y) * K(z,T(u,y))) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,T(u,y))) != v6 | a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)) = v6. a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)) = a(x,K(w,v5),K(v5,w) * y). a(L(x,y,K(z,u)),K(w,v5),v6) != v7 | a(v6,K(v5,w),x) = v7. a(K(x,y) * (K(z,u) * w),K(x,y),v5) = a(v5,K(y,x),K(x,y) * w). a(K(x,y) * z,K(x,y),u) != w | a(z,K(x,y),K(y,x) * u) = w. a(K(x,y) * z,K(u,w),K(w,u) * v5) = a(v5,K(w,u),K(u,w) * z). a(x,K(y,z),K(z,y) * u) != w | a(u,K(z,y),x) = w. a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),K(z,y) * v5). x != a(y,K(z,u),K(u,z) * w) | a(w,K(u,z),y) = x. a(x,K(y,z),u) = a(u,K(z,y),K(w,v5) * x). a(x,K(y,z),K(u,w) * v5) = a(v5,K(z,y),x). a(x,K(y,z),u * ((K(w,v5) * u) \ v6)) = a(v6,K(z,y),x). a(x,K(y,z),u * ((K(y,z) * u) \ w)) != v5 | L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = v5. L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(w,K(z,y),x). T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). K(x,T(y,(z * T(u,w)) \ v5) * v6) = K(x,T(y,(z * u) \ v5) * v6). K(x,T(y,z \ (u \ K(w,v5))) * v6) != v7 | K(x,T(y,u * z) * v6) = v7. K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,(u * w) \ (z \ K(v7,v8))) * v6). K(x,T(y,(z * u) \ (w \ K(v5,v6))) * v7) = K(x,T(y,w * (z * T(u,v8))) * v7). K(K(x,y) * ((z \ 1) * u),w) = K((z \ u) * K(y,x),w). K(T(x \ y,x) \ z,u) = K(((x \ y) \ z) * K(y,x),u). K(((x \ y) \ z) * K(y,x),u) = K(T(x \ y,x) \ z,u). x != K(T(y \ z,y) \ u,w) | K((z / y) \ u,w) = x. K((x / y) \ z,u) = K(((y \ x) \ z) * K(x,y),u). K(((x \ y) \ z) * K(y,x),u) = K((y / x) \ z,u). K(((x \ y) \ z) * K(u,x),w) != v5 | K((T(x,u) \ y) \ z,w) = v5. K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). K((T(x,y) \ y) \ z,u) != w | K((x \ T(y,x)) \ z,u) = w. K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). K((x * (y \ T(z,y))) \ u,w) = K((z / y) \ (x \ u),L(w,y \ T(z,y),x)). K((x / y) \ (z \ u),L(w,y \ T(x,y),z)) = K((z * (y \ T(x,y))) \ u,w). K(x,L(y,z \ T(u,w),v5)) != v6 | K(x,L(y,z \ u,v5)) = v6. K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (y \ T(x,y))) \ u,w). K((x / y) \ (z \ u),L(w,y \ x,z)) != v5 | K((z * (x / y)) \ u,w) = v5. K((x * (y / z)) \ u,w) = K((x * (z \ T(y,z))) \ u,w). K((x * (y \ T(z,y))) \ u,w) = K((x * (z / y)) \ u,w). K((T(x,y / z) * (z \ T(y,z))) \ u,w) != v5 | K(((T(z,y) \ y) * x) \ u,w) = v5. K(((T(x,y) \ y) * z) \ u,w) = K((T(z,y / x) * (y / x)) \ u,w). K((T(x,y / z) * (y / z)) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). K(((x / y) * z) \ u,w) = K(((T(y,x) \ x) * z) \ u,w). K(((T(x,y) \ y) * z) \ u,w) = K(((y / x) * z) \ u,w). K(((T(x,y) \ y) * z) \ u,w) != v5 | K(((x \ T(y,x)) * z) \ u,w) = v5. K(((x \ T(y,x)) * z) \ u,w) = K(((y / x) * z) \ u,w). K(K(x,L(y,z,u)) * ((u * (z * x)) * w),v5) = K(((u * z) * T(L(x,z,u),y)) * w,v5). K(K(x,y) * ((z * (u * x)) * w),v5) = K(((z * u) * T(L(x,u,z),y)) * w,v5). K(K(x,y) * ((z * (u * x)) * w),v5) = K((z * (u * T(x,y))) * w,v5). K(K(x,y) * ((z * (u * y)) * w),v5) = K((z * (u * T(y,x))) * w,v5). K(K(x,y) * ((z * (y * x)) * u),w) != v5 | K((z * T(y * x,x)) * u,w) = v5. K((x * T(y * z,z)) * u,w) = K((x * (y * T(z,y))) * u,w). K((x * (y * T(z,K(u,w)))) * v5,v6) != v7 | K((x * (y * z)) * v5,v6) = v7. K((x * T(y * z,z)) * u,w) = K((x * (z * y)) * u,w). K((T(x,y * z) * T(z * y,y)) * u,w) != v5 | K((T(z * y,y) * x) * u,w) = v5. K((T(x * y,y) * z) * u,w) = K((T(z,y * x) * (y * x)) * u,w). K((T(x,y * z) * (y * z)) * u,w) = K((T(z * y,y) * x) * u,w). K(((x * y) * z) * u,w) = K((T(y * x,x) * z) * u,w). K((T(x * y,y) * z) * u,w) = K(((y * x) * z) * u,w). K((T(x * y,y) * (x \ 1)) * z,u) != w | K(L(y,x,x \ 1) * z,u) = w. K(L(x,y,y \ 1) * z,u) = K(((x * y) * (y \ 1)) * z,u). K(((x * y) * (y \ 1)) * z,u) = K(L(x,y,y \ 1) * z,u). K(x \ (y * ((z * y) \ 1)),u) = K(L(z,y,y \ 1) * x,u \ 1). K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (y * ((x * y) \ 1)),u). K(L(x,y,y \ 1) * z,u \ 1) != w | K(z \ (((y * x) \ 1) * y),u) = w. K(x \ (((y * z) \ 1) * y),u) = K(x \ (y * ((z * y) \ 1)),u). K(x \ (((y * (z \ 1)) \ 1) * y),u) = K(x \ (y * ((y \ 1) * z)),u). K(x \ ((y * (z \ 1)) * z),u) = K(x \ (z * ((z \ 1) * y)),u). K(x \ R(y,z \ 1,z),u) = K(x \ (z * ((z \ 1) * y)),u). K(x \ (y * ((y \ 1) * z)),u) = K(x \ R(z,y \ 1,y),u). K(x \ L(y,z \ 1,z),u) = K(x \ R(y,z \ 1,z),u). K(x \ R(y,z \ 1,z),u) = K(x \ L(y,z \ 1,z),u). K((x \ y) * K(z \ L(u,w \ 1,w),v5),T(v6,y)) != v7 | K(y * (x \ K(z \ R(u,w \ 1,w),v5)),v6) = v7. K(K(x,y) * (z * (u * (w * y))),v5) = K((u * (w * T(y,x))) * T(z,u * (w * y)),v5). K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(K(u,z) * (w * (x * (y * z))),v5). K(x * (y \ T(z,u)),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,(z * K(y,x)) \ y)). K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,K(x,y) * (z \ y))). K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,z \ T(y,x))). x != K(y * (z \ T(u,w)),v5) * K(y,K(v5,z \ T(u,v6))) | K((z \ T(u,w)) * y,v5) = x. K((x \ T(y,z)) * u,w) = K((K(z,y) * (x \ y)) * R(u,x \ y,K(z,y)),w). K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K((z \ T(y,x)) * u,w). K(K(x,y) * ((z \ y) * u),w) = K((z \ T(y,x)) * u,w). K(K((x \ T(y,z)) * u,w) * v5,v6) = K(K(w,(x \ y) * u) * v5,v6). K(x * K((y \ T(z,u)) * w,v5),v6) = K(K(v5,(y \ z) * w) * x,v6). K(x * ((y \ z) * K(y,u)),w) != v5 | K(x * (T(y,u) \ z),w) = v5. K(x * (T(y * z,y) \ u),w) = K(K(z,y) * (x * ((y * z) \ u)),w). K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,y) \ u),w). x != K(y * (T(z * u,z) \ w),v5) | K(y * ((u * z) \ w),v5) = x. K(x * ((y * z) \ u),w) = K(K(y,z) * (x * ((z * y) \ u)),w). K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * ((x * y) \ u),w). K(K(x,y) * (z * ((y * x) \ u)),w) != v5 | K(z * (T(y * x,x) \ u),w) = v5. K(x * (T(y * z,z) \ u),w) = K(x * ((z * y) \ u),w). K(x * (T(y * (z \ 1),z) \ u),w) = K(x * (((z \ 1) * y) \ u),w). K(x * (T(y * (z \ 1),z) \ u),w) != v5 | K(x * ((y * (T(z,y) \ 1)) \ u),w) = v5. K(x * ((y * (T(z,y) \ 1)) \ u),w) = K(x * (((z \ 1) * y) \ u),w). K(x * ((((y / ((z \ 1) \ 1)) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * ((((y / z) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * ((((y / z) / (z \ 1)) * (T(z,(y / z) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * ((((y / z) / (z \ 1)) * (T(z,y) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * (((y / z) * K(y,z)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * (((y / z) * K(y,z)) \ u),w). K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((y / T(z,y)) \ u),w). K(x * ((y * (T(z,y) \ 1)) \ u),w) != v5 | K(x * (T(y * (z \ 1),z) \ u),w) = v5. K(x * (T(((y / z) / (z \ 1)) * (z \ 1),z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * (T(y / z,z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). K(x * ((y \ z) \ u),w) = K(x * ((z / (T(y \ 1,z) \ 1)) \ u),w). K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((z \ y) \ u),w). K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) != v5 | K(x * ((y / T(z,y)) \ u),w) = v5. K(x * ((y / T(z,y)) \ u),w) = K(x * ((z \ y) \ u),w). K(x \ ((y / T(z,y)) \ u),w) = K((x \ a(v5,v6,v5)) * ((z \ y) \ u),w). x != K((y \ a(z,u,z)) * w,v5) | K(y \ w,v5) = x. K(x \ ((y \ z) \ u),w) = K(x \ ((z / T(y,z)) \ u),w). K(x \ ((y / T(z,y)) \ u),w) = K(x \ ((z \ y) \ u),w). (x * K(y \ ((z \ u) \ w),v5)) \ x = K(v5,y \ ((u / T(z,u)) \ w)). K(x,y \ ((z / T(u,z)) \ w)) = (v5 * K(y \ ((u \ z) \ w),x)) \ v5. K(x,y \ ((z / T(u,z)) \ w)) * a(v5,v6,K(y \ ((u \ z) \ w),x)) = K(x,L(y \ ((z / T(u,z)) \ w),v6,v5)). K(x,y \ ((z \ u) \ w)) = K(x,y \ ((u / T(z,u)) \ w)). K(x,y \ ((z / T(u,z)) \ w)) = K(x,y \ ((u \ z) \ w)). K(x,y \ ((z \ u) \ w)) * a(v5,v6,K(y \ ((z \ u) \ w),x)) = K(x,L(y \ ((u / T(z,u)) \ w),v6,v5)). K(x,L(y \ ((z \ u) \ w),v5,v6)) = K(x,L(y \ ((u / T(z,u)) \ w),v5,v6)). K(x,L(y \ ((z / T(u,z)) \ w),v5,v6)) = K(x,L(y \ ((u \ z) \ w),v5,v6)). K(x,L(y \ ((z / T(u,z)) \ w),w,u \ z)) != v5 | K(x,((T(z,u) / u) * y) \ w) = v5. K(x,((T(y,z) / z) * u) \ w) = K(x,L(u \ ((z \ y) \ w),w,z \ y)). K(x,L(y \ ((z \ u) \ w),w,z \ u)) = K(x,((T(u,z) / z) * y) \ w). K(x,L(y \ (z \ u),u,z)) != w | K(x,(z * y) \ u) = w. K(x,((y \ z) * u) \ w) = K(x,((T(z,y) / y) * u) \ w). K(x,((T(y,z) / z) * u) \ w) = K(x,((z \ y) * u) \ w). K(x,((y \ z) * u) \ w) * K(x,K((y \ z) * u,w)) = K(x,w / ((T(z,y) / y) * u)). K(x,y \ z) * K(x,K(y,z)) != u | K(x,z / y) = u. K(x,y / ((z \ u) * w)) = K(x,y / ((T(u,z) / z) * w)). K(x,y / ((T(z,u) / u) * w)) = K(x,y / ((u \ z) * w)). K(x,y / ((T(z,u) / u) * a(u \ z,w,w \ 1))) = K(x,y / R(u \ z,w,w \ 1)). K(x,y / (T(z,(u \ a(w,v5,w)) * v6) / ((u \ 1) * v6))) = K(x,y / ((((u \ a(w,v5,w)) * v6) \ z) * a(w,v5,w))). K(x,y / (T(z,u \ w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). K(x,y / (T(z,u \ w) / v5)) != v6 | K(x,y / (T(z,u * w) / v5)) = v6. K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / (((u \ 1) * w) \ z)). (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))). K((K(x,K(y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(x * (T(T(x,(x * y) * ((z \ 1) \ u)),K(y,z * u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(x * (T(T(x,K(y,z * u)),(x * y) * ((z \ 1) \ u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K((K(x,y) * z) * u,w) = K(z * (u * K(x * K(v5,v6),y)),w). K(x * (y * K(z * K(u,w),v5)),v6) = K((K(z,v5) * x) * y,v6). K(x * (y * K(z,u)),w) = K(x * (y * K(z * K(v5,v6),u)),w). K(x * (y * K(z * K(u,w),v5)),v6) = K(x * (y * K(z,v5)),v6). K((x * y) * (z * K(u,x)),w) != v5 | K((T(x,u) * y) * z,w) = v5. K((T(x,y * K(z,u)) * w) * v5,v6) = K((x * w) * (v5 * K(y,x)),v6). K(x * T(y * K(z,u),w),v5) = K(x * ((y * K(z,u)) * K(y,w)),v5). K(x * ((y * K(z,u)) * K(y,w)),v5) = K(x * T(y * K(z,u),w),v5). x != K((y * z) * (u * K(w,y)),v5) | K((T(y,w) * z) * u,v5) = x. K((T(x,y) * z) * u,w) = K((T(x,y * K(v5,v6)) * z) * u,w). K((T(x,y * K(z,u)) * w) * v5,v6) = K((T(x,y) * w) * v5,v6). K((T(x,K(y,z) * u) * w) * v5,v6) = K((T(x,u) * w) * v5,v6). K((T(x,y) * z) * u,w) * K(T(x,v5) * z,K(u,w)) = K(u * (T(x,K(v6,v7) * y) * z),w). K(x * (T(y,K(z,u) * w) * v5),v6) = K((T(y,w) * v5) * x,v6) * K(T(y,v7) * v5,K(x,v6)). x != K((T(y,z) * u) * w,v5) * K(T(y,v6) * u,K(w,v5)) | K(w * (T(y,z) * u),v5) = x. K(x * (T(y,z) * u),w) = K(x * (T(y,K(v5,v6) * z) * u),w). K(x * (T(y,K(z,u) * w) * v5),v6) = K(x * (T(y,w) * v5),v6). K(x * (T(y,z * T(u,w)) * v5),v6) = K(x * (T(y,z * u) * v5),v6). K(x * (T(y,z * u) * (z * T(u,w))),v5) != v6 | K(x * ((z * T(u,w)) * y),v5) = v6. K(x * (T(y,z * u) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. K(x * (T(y,z) * K(u,w)),v5) = K(x * T(y * K(u,w),z),v5). K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). K(x * ((y * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). K(x * ((y * K(z,y \ 1)) * u),w) = K(x * (T(y,z) * u),w). K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z) * u),w). K(x * (y * (K(z,y \ 1) * u)),w) != v5 | K(x * (T(y,z \ 1) * u),w) = v5. K(x * (T(y,z \ 1) * u),w) = K(x * (T(y,z) * u),w). K(x * (T((y * z) \ 1,y \ 1) * u),w) != v5 | K(x * (((((y * z) \ z) \ z) \ 1) * u),w) = v5. K(x * (((((y * z) \ z) \ z) \ 1) * u),w) = K(x * (T((y * z) \ 1,y) * u),w). K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). K(x,T(y,z \ (u \ 1))) != w | K(x,T(y,z * u)) = w. K(x,T(y,(z \ u) * w)) = K(x,T(y,u \ (z * (w \ 1)))). K(x,T(y,z \ (u * (w \ 1)))) = K(x,T(y,(u \ z) * w)). T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * (v5 * K(w,u))) * v6)). T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * (v6 * K(u,w)))). x != T(y,K(z,u * (w * K(v5,v6)))) | T(y,K(z,u * w)) = x. T(x,K(y,(z * u) * w)) = T(x,K(y,(z \ 1) \ ((K(v5,v6) / u) \ w))). T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). T(x,K(y,z * ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,(z * u) * v6)). K((T(x,y) * z) * u,w) = K((T(z,x) * T(x,y)) * u,w). K((T(x,y) * T(y,z)) * u,w) = K((T(y,z) * x) * u,w). K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). K(x,y * (T(z,u) * K(w,v5))) = K(x,y * T(z * K(w,v5),u)). R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (((u * z) * K(y,x)) \ 1) * L(u,z,K(y,x)). R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). R(K(x,y) / z,L(u \ 1,z,K(y,x)),L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). (x * K(y,K(z,u))) / w = K(y,K(z,u)) * (x / w). R(x / (K(y,z) * u),K(y,z) * u,K(y,K(z,w))) = K(y,K(z,w)) * (x / (K(y,T(z,w)) * u)). x != K(y,K(z,u)) * w | w * K(y,K(z,u)) = x. (x / y) * K(z,K(u,w)) = (x * K(z,K(u,w))) / y. (x * K(y,K(z,u))) / w = (x / w) * K(y,K(z,u)). K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,y * ((y * x) \ z))). K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(z,u)). x != K(y * T(y \ z,u),w) * K(y,K(z,w)) | K(y * T(z / y,u),w) = x. K(x * T(y / x,z),u) = K((((x * z) \ y) * z) * R(x,z,(x * z) \ y),u). K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(z / x,y),u). K(K(x,T(y,z)) * (K(u,T(w,v5)) * v6),v7) = K(K(x,y) * (v6 * K(u,w)),v7). K(K(x,T(y,z)) * (K(u,w) * v5),v6) = K(K(x,y) * (v5 * K(u,w)),v6). K((T(x,T(y,z)) * u) * w,v5) != v6 | K((T(x,y) * u) * w,v5) = v6. K((T(x,y) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (u * z)) / z). K(x,y \ ((z \ u) * K(w,v5))) = K(x,y \ ((K(v5,w) * z) \ u)). K(x,y \ ((K(z,u) * w) \ v5)) = K(x,y \ ((w \ v5) * K(u,z))). x != K(y,z \ (u * K(w,v5))) | K(y,(z \ u) * K(w,v5)) = x. K(x,(y \ (z \ u)) * K(w,v5)) = K(x,y \ ((K(v5,w) * z) \ u)). K(x,y \ ((K(z,u) * w) \ v5)) = K(x,(y \ (w \ v5)) * K(u,z)). T(x,K(y,(z \ (u \ (w \ 1))) * K(v5,v6))) = T(x,K(y,(w / (u \ K(v5,v6))) * z)). T(x,K(y,z \ (u \ (w \ 1)))) = T(x,K(y,(w / (u \ K(v5,v6))) * z)). T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,v6 \ (u \ (z \ 1)))). x != T(y,K(z,u \ (w \ (v5 \ 1)))) | T(y,K(z,v5 * (w * u))) = x. T(x,K(y,z * (u * w))) = T(x,K(y,(z / (u \ K(v5,v6))) * w)). T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,z * (u * v6))). T(x,K(y,((z \ K(u,w)) \ v5) * v6)) = T(x,K(y,v5 * (z * v6))). T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,z * (u * v6))). T(x,K(y,z * ((u \ K(w,v5)) \ v6))) != v7 | T(x,K(y,(z * u) * v6)) = v7. T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). x \ T(y * T(x,K(z,(u \ 1) * (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). x \ T(y * T(x,K(z,u \ (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). x \ T(y * T(x,K(z,(u \ w) * (v5 \ v6))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w * (((v6 \ 1) * v5) * (u \ 1)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w / (u * ((v5 \ 1) * v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(u * ((v5 \ 1) * v6)) \ w)) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,((v5 \ 1) * v6) * (w \ u))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(v5 \ 1) * (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,v5 \ (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(w \ u) * (v5 \ v6))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,u * (w \ (v5 \ v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). T(x,K(y * (z \ (u \ w)),v5) * v6) = T(x,K(z * (((w \ 1) * u) * (y \ 1)),v5) * v6). T(x,K(y * (((z \ 1) * u) * (w \ 1)),v5) * v6) = T(x,K(w * (y \ (u \ z)),v5) * v6). T(x,K(y / (z * ((u \ 1) * w)),v5) * v6) = T(x,K(z * (y \ (u \ w)),v5) * v6). T(x,K((y * ((z \ 1) * u)) \ w,v5) * v6) = T(x,K(y * (w \ (z \ u)),v5) * v6). T(x,K((y * z) \ u,w) * v5) != v6 | T(x,K(z \ (y \ u),w) * v5) = v6. T(x,K(((y \ 1) * z) \ (u \ w),v5) * v6) = T(x,K(u * (w \ (y \ z)),v5) * v6). T(x,K(((y \ 1) * z) * (u \ w),v5) * v6) = T(x,K(u * (w \ (z \ y)),v5) * v6). T(x,K((y \ (z \ u)) * w,v5) * v6) = T(x,K(z * (u \ (w \ y)),v5) * v6). T(x,K((y \ z) * u,w) * v5) = T(x,K(z * (1 \ (y \ u)),w) * v5). T(x,K(y * (1 \ (z \ u)),w) * v5) = T(x,K((z \ y) * u,w) * v5). T(x,K(y * (z \ u),w) * v5) = T(x,K((z \ y) * u,w) * v5). T(x,K((y \ z) * u,w) * v5) = T(x,K(z * (y \ u),w) * v5). x \ (T(x \ 1,K(y * (z \ u),w) * v5) \ 1) = K(K((z \ y) * u,w) * v5,x \ 1). T(x / T(y,K(z * (u \ w),v5) * v6),y) / (y \ x) = K(K((u \ z) * w,v5) * v6,T(y,x)). K(K(x * (y \ z),u) * w,v5 \ 1) = K(K((y \ x) * z,u) * w,v5 \ 1). K(K((x \ y) * z,u) * w,v5 \ 1) = K(K(y * (x \ z),u) * w,v5 \ 1). K(x \ K(y * (z \ u),w),v5) = K(K((z \ y) * u,w) * x,v5 \ 1). K(K((x \ y) * z,u) * w,v5 \ 1) = K(w \ K(y * (x \ z),u),v5). K(x \ K((y \ z) * u,w),v5) = K(x \ K(z * (y \ u),w),v5). K(K(x * (y \ z),u) * w,T(v5,v6)) = K(K((y \ x) * z,u) * w,T(v5,v6)). K(K((x \ y) * z,u) * w,T(v5,v6)) = K(K(y * (x \ z),u) * w,T(v5,v6)). T(K(K(x * (y \ z),u) * w,T(v5,v6)),v6) = K(K((y \ x) * z,u) * w,v5). K(K(x * (y \ z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K((x \ y) * z,u) * w,v5) = K(K(y * (x \ z),u) * w,v5). K(K(x,y * (z \ u)) * w,v5) = K(K((u \ 1) * (y \ z),x) * w,v5). K(K((x \ 1) * (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). K(K(x * (y \ z),u) * w,v5) = K(K(z * (y \ x),u) * w,v5). K(K((T(x,y) \ z) * u,w) * v5,v6) != v7 | K(K(w,(x \ z) * u) * v5,v6) = v7. K(K(x,(y \ z) * u) * w,v5) = K(K(z * (T(y,v6) \ u),x) * w,v5). K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K(w,(y \ x) * u) * v5,v6). (x * K(K(y * (z \ u),w) * v5,v6)) \ x = K(v6,K((y / z) * u,w) * v5). K(K(x \ (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). K(K(x,y \ (z * u)) * w,v5) = K(K(x,z * (y \ u)) * w,v5). K(K(x,(y \ z) \ u) * w,v5) = K(K(x,y * (z \ u)) * w,v5). K(K((x \ y) \ z,u) * w,v5) != v6 | K(K(y \ (x * z),u) * w,v5) = v6. K(K(x \ (y * (z \ u)),w) * v5,v6) = K(K(w,z * (u \ (y \ x))) * v5,v6). K(x \ K(y,z \ (u * w)),v5) = K(K(y,u * (z \ w)) * ((v6 * x) \ v6),v5). K(K(x,y * (z \ u)) * ((w * v5) \ w),v6) = K(v5 \ K(x,z \ (y * u)),v6). 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,u * (z \ w)),v5). K(K(x \ y,z) * u,w) = K(K(z,v5 * (y \ (v5 \ x))) * u,w). K(K(x,y * (z \ (y \ u))) * w,v5) = K(K(u \ z,x) * w,v5). K(K(x,y * (z \ (y \ u))) * w,v5) != v6 | K(w * K(u \ L(z,y \ 1,y),x),v5) = v6. K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(y \ z,w) * x,v5). K(x * (y \ K(z \ R(u,w \ 1,w),v5)),v6) = K(K(z \ u,v5) * (y \ x),T(v6,x)). K(K(x \ y,z) * (u \ w),T(v5,w)) = K(w * (u \ K(x \ R(y,v6 \ 1,v6),z)),v5). K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(u \ R(w,v6 \ 1,v6),z)),v5). K(x * (y \ K(z \ R(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). K(x * (y \ K(z \ L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). K(x * (y \ K(z \ u,w)),v5) != v6 | K(x * (y \ K(z * u,w)),v5) = v6. K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). K(x * (y \ K(z,(u \ w) \ v5)),v6) = K(K(z,u * (w \ v5)) * (x * (y \ 1)),v6). K(K(x,y * (z \ u)) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,(y \ z) \ u)),v6). K(x * (y \ K(z,u * (w \ v5))),v6) = K(x * (y \ K(z,(u \ w) \ v5)),v6). K(x * (y \ K(z,(u \ w) \ v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). K(x * (y \ K(z,((u * w) \ u) \ v5)),v6) != v7 | K(x * (y \ K(z,v5 \ L(w \ 1,w,u))),v6) = v7. K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,(v5 * w) * (v5 \ u))),v6). K(K(x * (T(y,z) \ u),w) * v5,v6) != v7 | K(K(w,x * (y \ u)) * v5,v6) = v7. K(K(x,y * (z \ u)) * w,v5) = K(K(x,(z \ y) * u) * w,v5). K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y \ u)) * w,v5). K(K(x,(y \ z) * u) * w,v5) = K(K(x,(z \ 1) * (u \ y)) * w,v5). K(K(x,(y \ 1) * (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). K(K(x,(y \ z) * u) * w,v5) != v6 | K(w * K((y \ T(z,v7)) * u,x),v5) = v6. K(x * K((y \ T(z,u)) * w,v5),v6) = K(K(v5,z * (y \ w)) * x,v6). K(x * (y \ K((T(z,u) / T(w,z)) * v5,v6)),v7) = K(K(v6,z * (w \ v5)) * (y \ x),T(v7,x)). K(K(x,y * (z \ u)) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K((T(y,v7) / T(z,y)) * u,x)),v6). K(x * (y \ K(z * (u \ w),v5)),v6) = K(x * (y \ K((T(z,v7) / T(u,z)) * w,v5)),v6). K(x * (y \ K((T(z,u) / T(w,z)) * v5,v6)),v7) = K(x * (y \ K(z * (w \ v5),v6)),v7). K(x * (y \ K((z \ T(u,w)) * v5,v6)),v7) = K(x * (y \ K(u * (z \ v5),v6)),v7). K(x * (y \ K((z \ u) * w,v5)),v6) = K(x * (y \ K(u * (z \ w),v5)),v6). K(K(x,K(y,z * (u * w))) * (v5 \ K(((w \ 1) \ u) * z,x)),v6) != v7 | K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6) = v7. K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(w * ((u \ 1) \ z),y)),v6). K(K(x,y \ (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). x != K(K(y,(z \ u) * w) * v5,v6) | K(K(y,u * (z \ w)) * v5,v6) = x. K(K(x,y * (z \ u)) * w,v5) = K(K(x,y \ (u \ z)) * w,v5). K(K(x,y \ (z \ u)) * w,v5) = K(K(x,y * (u \ z)) * w,v5). K(K(x,(y * z) \ u) * w,v5) = K(K(x,z * (u \ y)) * w,v5). K(x * (y \ K(z,u * (w \ v5))),v6) = K(K(z,(v5 * u) \ w) * (x * (y \ 1)),v6). K(K(x,(y * z) \ u) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,z * (u \ y))),v6). K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w * (v5 \ u))),v6). K(x * (y \ K(z,(u * w) \ v5)),v6) != v7 | K(x * (y \ K(z,w \ (u \ v5))),v6) = v7. K(x * (y \ K(z,u \ (w \ v5))),v6) = K(x * (y \ K(z,u * (v5 \ w))),v6). K(x * (y \ K(z,u \ ((w * v5) \ w))),v6) != v7 | K(x * (y \ K(z,u \ L(v5 \ 1,v5,w))),v6) = v7. K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * (v5 \ (v5 * w)))),v6). K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * w)),v6). K(K((x \ y) * z,T(u,w)) * v5,v6) = K(K(y * (x \ z),T(T(u,x \ y),w)) * v5,v6). K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(K((y \ x) * z,T(u,w)) * v5,v6). x != K(K(y,T(z,u)) * w,v5) | K(w * K(z,y),v5) = x. K(x * K(y,(z \ u) * w),v5) = K(K(u * (z \ w),T(T(y,z \ u),v6)) * x,v5). K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(v5 * K(u,(y \ x) * z),v6). K(x * K(T(y,z \ u),u * (z \ w)),v5) = K(x * K(y,(z \ u) * w),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) = K(x * K(y,u * (z \ w)),v5). K(x * K(y,(z \ u) * w),v5) != v6 | K(x * K(y,(u / z) * w),v5) = v6. K(x * K(y,(z / u) * w),v5) = K(x * K(y,z * (u \ w)),v5). K(x * (y \ K(z,T(u \ w,u) * v5)),v6) = K((y \ x) * K(z,w * (u \ v5)),T(v6,x)). K((x \ y) * K(z,u * (w \ v5)),T(v6,y)) = K(y * (x \ K(z,T(w \ u,w) * v5)),v6). K(x * (y \ K(z,u * (w \ v5))),v6) = K(x * (y \ K(z,T(w \ u,w) * v5)),v6). K(x * (y \ K(z,T(u \ w,u) * v5)),v6) = K(x * (y \ K(z,w * (u \ v5))),v6). K(x * (y \ K(z,(u / w) * v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). K(x * (y \ K(z,(u / w) * v5)),v6) != v7 | K(x * (y \ K(u * ((w \ 1) * v5),z)),v6) = v7. K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,z * (u \ w))),v6). 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 * (z \ u),w) * v5). K(x,(y * z) \ (u * z)) = K(x,(y * T(z,w)) \ (u * T(z,w))). K(x,(y * T(z,u)) \ (w * T(z,u))) = K(x,(y * z) \ (w * z)). (x * (T(T(x,y),K(z,u)) \ w)) \ v5 = K(x,K(z,u)) * ((K(y,x) * w) \ v5). (K(x,y) * z) \ (x * y) != u | z \ (y * x) = u. (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = K(K(x,y),K(u,w)) * ((K(z,K(x,y)) * v5) \ (x * y)). K(K(x,y),K(z,u)) * ((K(w,K(x,y)) * v5) \ (x * y)) = (T(T(K(x,y),w),K(z,u)) \ v5) \ (y * x). 1 * ((K(x,K(y,z)) * u) \ (y * z)) = (T(T(K(y,z),x),K(w,v5)) \ u) \ (z * y). (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(z,K(x,y)) * v5) \ (x * y)). (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(x,K(y,z)) * v5) \ (x * y)). (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ (T(x,K(y,z)) * y)). (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ T(x * y,K(y,z))). x \ T(y * z,K(z,u)) = (T(T(K(y,z),u),K(w,v5)) \ x) \ (z * y). (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). (T(K(x,T(y,z)),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). (K(x,T(y,z)) \ u) \ (y * x) = u \ T(x * y,K(y,z)). (K(x,T(y,z)) * u) \ (x * y) = u \ T(y * x,K(x,z)). K(x,(y * z) * (u * K(w,v5))) = K(x,(y * (K(v5,w) * z)) * u). K(x,(y * (K(z,u) * w)) * v5) = K(x,(y * w) * (v5 * K(u,z))). K(x,(T(y,z) * u) * w) = K(x,(y * u) * (w * K(z,y))). K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). K(x,(y * z) * (K(u,y) * w)) = K(x,(T(y,u) * z) * w). K(x,y * (z * (u * K(w,v5)))) = K(x,y * ((z * K(v5,w)) * u)). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(w,u)))). K(x,y * (z * T(u,w))) = K(x,y * (z * (u * K(w,u)))). K(x,y * (z * (u * K(w,u)))) = K(x,y * (z * T(u,w))). K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). K(x,y * ((T(z,u) \ 1) * ((T(z \ 1,u) * w) / T(z \ 1,u)))) != v5 | K(x,y * (T(T(z \ 1,u),w) * w)) = v5. K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * T(w,T(z \ 1,u)))). K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * (w * (T(z,u) \ 1))). K(x,y * (z * T(u \ 1,w))) = K(x,y * (z * (T(u,w) \ 1))). K(x,y * (z * (T(u,w) \ 1))) = K(x,y * (z * T(u \ 1,w))). K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,(w \ 1) * (y * T(z \ 1,u))). K(x,y \ (z * T(u \ 1,w))) = K(x,((z * (T(u,w) \ 1)) \ y) \ 1). K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,w \ (y * T(z \ 1,u))). K(x,y \ (z * (T(u,w) \ 1))) = K(x,y \ (z * T(u \ 1,w))). (x \ 1) * (y * K(z,K(u,w))) = (x \ K(z,K(u,w))) * y. (x \ 1) * T(y * K(z,K(u,w)),v5) = (x \ K(z,K(u,w))) * T(y,v5). (x \ 1) * T(y \ K(z,K(u,w)),v5) = (x \ K(z,K(u,w))) * T(y \ 1,v5). (x \ K(y,K(z,u))) * T(w \ 1,v5) = (x \ 1) * T(w \ K(y,K(z,u)),v5). (x \ 1) * (y \ K(z,K(u,w))) = (x \ K(z,K(u,w))) * (y \ 1). (x \ K(y,K(z,u))) * (w \ 1) = (x \ 1) * (w \ K(y,K(z,u))). x != (y \ 1) * (z \ K(u,K(w,v5))) | (z * y) \ K(u,K(w,v5)) = x. (x * y) \ K(z,K(u,w)) = (y \ K(z,K(u,w))) * (x \ 1). (x \ K(y,K(z,u))) * (w \ 1) = (w * x) \ K(y,K(z,u)). K(x,((y \ K(z,K(u,w))) * T(v5 \ 1,v6)) \ (v7 * T(v5 \ 1,v6))) = K(x,((v5 * y) \ K(z,K(u,w))) \ (v7 * (v5 \ 1))). K(x,((y \ 1) * T(z \ K(u,K(w,v5)),v6)) \ (v7 * T(z \ 1,v6))) = K(x,((z * y) \ K(u,K(w,v5))) \ (v7 * (z \ 1))). K((x * (y * T(z,K(u,w)))) * (v5 * K(v6,L(v7,z,y))),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). K((x * (y * T(z,K(u,w)))) * (v5 * K(v6,v7)),v8) = K((x * (y * T(z * K(v6,v7),K(u,w)))) * v5,v8). K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * T(z,K(v5,v6)))) * (v7 * K(u,w)),v8). x != K((y * (z * T(u,K(w,v5)))) * v6,v7) | K((y * (z * u)) * v6,v7) = x. K((x * (y * z)) * (u * K(w,v5)),v6) = K((x * (y * T(z * K(w,v5),K(v7,v8)))) * u,v6). K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * z)) * (v7 * K(u,w)),v8). K((x * (y * (z * K(u,w)))) * v5,v6) = K((x * (y * z)) * (v5 * K(u,w)),v6). K((x * (y * T(z,u))) * w,v5) = K((x * (y * z)) * (w * K(z,u)),v5). K((x * (y * z)) * (u * K(z,w)),v5) = K((x * (y * T(z,w))) * u,v5). K(x,T(y,z \ (u / w))) = K(x,T(y,(z * w) \ u)). K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). K((x * T(y,T(z,u))) * w,v5) = K((x * T(y,z)) * w,v5). x \ (a(y,z,K(u,x)) * w) = L(x,z,K(u,y)) \ w. T(x,y \ L(z,u,K(w,v5))) = T(x,y \ z). T(x,y \ (z \ (K(u,w) * v5))) = T(x,y \ ((K(w,u) * z) \ v5)). T(x,y \ ((K(z,u) * w) \ v5)) = T(x,y \ (w \ (K(u,z) * v5))). x != K(y,T(z,u \ (w / v5))) | K(y,T(z,u \ (v5 \ w))) = x. K(x,T(y,z \ (u \ w))) = K(x,T(y,(z * u) \ w)). K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). K((x * K(y,z)) * (u * (w * y)),v5) = K((u * (w * T(y,z))) * x,T(v5,x * K(v6,v7))). K(x * (T(y,z) * K(u,w)),v5) != v6 | K(x * T(y * K(u,w),z),v5) = v6. K((x * (y * z)) * T(u * K(z,w),v5),v6) = K((x * (y * T(z,w))) * T(u,v5),v6). K((x * K(y,z)) * (u * (w * y)),v5) = K((u * (w * T(y,z))) * T(x,u * (w * y)),v5). K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K((w * K(z,u)) * (x * (y * z)),v5). x != K((y * K(z,u)) * w,v5) | K(y * (K(z,u) * w),v5) = x. K(x * (K(y,z) * (u * (w * y))),v5) = K((u * (w * T(y,z))) * T(x,u * (w * y)),v5). K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (K(z,u) * (x * (y * z))),v5). K((x * K(y,z)) * u,w) != v5 | K(x * (K(y,z) * u),w) = v5. K(x * (K(y,z) * (u * (w * y))),v5) = K((u * (w * T(y,z))) * x,T(v5,x * K(v6,v7))). K((x * (y * T(z,u))) * w,T(v5,w * K(v6,v7))) = K(w * (K(z,u) * (x * (y * z))),v5). K((x * (y * T(z,u))) * w,T(v5,w)) = K(w * (K(z,u) * (x * (y * z))),v5). K(x * (y * (z * T(u,w))),v5) = K(x * (K(u,w) * (y * (z * u))),v5). K(x * (K(y,z) * (u * (w * y))),v5) = K(x * (u * (w * T(y,z))),v5). K(x * (K(y,z) * (u * (w * y))),v5) != v6 | K((u * (w * T(y,z))) * T(x,u * (w * y)),v5) = v6. K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (x * (y * T(z,u))),v5). K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) != v6 | K(K(u,z) * (w * (x * (y * z))),v5) = v6. K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * T(y,x))),v5). K(K(x,y) * (z * (u * (w * y))),v5) != v6 | K(z * (u * (w * ((x \ y) * x))),v5) = v6. K(x * (y * (z * ((u \ w) * u))),v5) = K(x * (y * (z * T(w,u))),v5). K(x * ((y * ((z \ u) * z)) * w),v5) = K(x * (T(w,y * u) * (y * T(u,z))),v5). K(x * (T(y,z * u) * (z * T(u,w))),v5) = K(x * ((z * ((w \ u) * w)) * y),v5). K(x * ((y * T(z,u)) * w),v5) = K(x * ((y * ((u \ z) * u)) * w),v5). K(x * ((y * ((z \ u) * z)) * w),v5) = K(x * ((y * T(u,z)) * w),v5). K(x * ((((y \ z) * y) * u) * w),v5) = K(x * ((T(u,z) * T(z,y)) * w),v5). K(x * ((T(y,z) * T(z,u)) * w),v5) = K(x * ((((u \ z) * u) * y) * w),v5). K(x * ((T(y,z) * u) * w),v5) = K(x * ((((z \ y) * z) * u) * w),v5). K(x * ((((y \ z) * y) * u) * w),v5) = K(x * ((T(z,y) * u) * w),v5). K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,z) * u) * w,v5)) = K(((((z \ y) * z) * u) * w) * x,v5). K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,v6) * u) * w,v5)) != v7 | K(((T(y,z) * u) * w) * x,v5) = v7. K(((T(x,y) * z) * u) * w,v5) = K(((((y \ x) * y) * z) * u) * w,v5). K(((((x \ y) * x) * z) * u) * w,v5) = K(((T(y,x) * z) * u) * w,v5). K(x,K(((T(y,z) * u) * w) * v5,w * (y * u))) = K(x,K((((z \ y) * z) * u) * w,v5)). K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K((((w \ z) * w) * u) * y,v5)). K(x,K((((y \ z) * y) * u) * w,v5)) = K(x,K(w * (z * u),((T(z,y) * u) * w) * v5)). K(x,K((T(y,z) * u) * w,v5)) = K(x,K(w * (y * u),((T(y,z) * u) * w) * v5)). K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K((T(z,w) * u) * y,v5)). x != K(y,K((T(z,u) * w) * v5,v6)) | K(y,K(v6,v5 * (z * w))) = x. K(x,K(y,z * (u * w))) = K(x,K(z * (u * w),((T(u,v5) * w) * z) * y)). K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K(v5,y * (z * u))). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (u * w))) = v5. K(x,K(y * (z * u),(T(z,w) * u) * (y * v5))) = K(x,K(v5,y * (z * u))). K(x,K(y * (z * u),T(z,w) * (u * (y * v5)))) = K(x,K(v5,y * (z * u))). K(x,K(y * (z * u),z * (u * (y * w)))) = K(x,K(w,y * (z * u))). K(K(x,y) * (z \ (x \ u)),w) != v5 | K(z \ (T(x,y) \ u),w) = v5. K(x \ (T(y,y \ z) \ u),w) = K(x \ (T(y,z) \ u),w). K(x \ (((y \ z) \ z) \ u),w) = K(x \ (T(y,z) \ u),w). K(x * (((y \ z) \ z) \ u),w) = K((x \ 1) \ (T(y,z) \ u),w). K((x \ 1) \ (T(y,z) \ u),w) = K(x * (((y \ z) \ z) \ u),w). K(x * (T(y,z) \ u),w) = K(x * (((y \ z) \ z) \ u),w). K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). K(x * (((y \ z) \ z) \ L(u,y \ 1,y)),w) = K(x * ((T(y,z) \ 1) * u),w). K(x * ((T(y,y \ z) \ 1) * u),w) = K(x * ((T(y,z) \ 1) * u),w). K(x * ((T(y,z) \ 1) * u),w) != v5 | K(x * (T(y \ 1,z) * u),w) = v5. K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). x != K(y * ((T(z,u) \ 1) * w),v5) | K(y * (T(z \ 1,u) * w),v5) = x. K(x * (T(y \ 1,z) * u),w) = K(x * (T(y \ 1,y \ z) * u),w). K(x * (T(y \ 1,y \ z) * u),w) = K(x * (T(y \ 1,z) * u),w). K(x * (T(y \ 1,y \ z) * u),w) != v5 | K(x * ((((y \ z) \ z) \ 1) * u),w) = v5. K(x * ((((y \ z) \ z) \ 1) * u),w) = K(x * (T(y \ 1,z) * u),w). K(x * (((((y * z) \ z) \ z) \ 1) * u),w) != v5 | K(x * (T((y * z) \ 1,y) * u),w) = v5. K(x * (T((y * z) \ 1,y) * u),w) = K(x * (T((y * z) \ 1,z) * u),w). K(x * (T((y * z) \ 1,z) * u),w) = K(x * (T((y * z) \ 1,y) * u),w). K(K(x,y) * (z * (y \ u)),w) = K((T(y,x) \ u) * T(z,y \ u),w). K((T(x,y) \ z) * T(u,x \ z),w) = K(K(y,x) * (u * (x \ z)),w). K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) * v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). K(x,(y * K(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). K(x,(y * K(z,K(u,w))) / T(v5,v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). K(x,(y / T(z,u)) * K(w,K(v5,v6))) = K(x,y / T(z * K(w,K(v5,v6)),u)). K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,(y / T(z,v6)) * K(u,K(w,v5))). x != K(y,z * K(u,K(w,v5))) | K(y,z) = x. K(x,y / T(z,u)) = K(x,y / T(z * K(w,K(v5,v6)),u)). K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,y / T(z,v6)). K(x,(y \ z) / T(u * K(z,K(w,v5)),v6)) != v7 | K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))) = v7. K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5,v6)). K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) * v5,v6))) = K(x,(y \ z) / T(v5,v6)). K(x,(y \ T(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,(y \ z) / T(v5,v6)). K(x,(y \ T(z,K(u,w))) / T(v5,v6)) = K(x,(y \ z) / T(v5,v6)). K(x,(y \ T(z,K(u,w))) / T(v5,y \ z)) != v6 | K(x,v5 \ (y \ T(z,K(u,w)))) = v6. K(x,y \ (z \ T(u,K(w,v5)))) = K(x,(z \ u) / T(y,z \ u)). x != K(y,z / T(u,z)) | K(y,u \ z) = x. K(x,y \ (z \ u)) = K(x,y \ (z \ T(u,K(w,v5)))). K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,(y \ z) \ 1)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)) = K(x * (((x \ 1) / y) * z),u \ 1). K(x,K(y,z) * (u * w)) * K(u,K(x,w)) = K(x,w * (K(z,y) * u)). K(x,K(y,z) * (u * w)) * K(u,K(x,w)) = K(x,w * (K(y \ K(v5,v6),z) * u)). K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,K(z,v5) * (v6 * y)) * K(v6,K(x,y)). x != K(y,K(z,u) * (w * v5)) * K(w,K(y,v5)) | K(y,v5 * (K(u,z) * w)) = x. K(x,y * (K(z,u) * w)) = K(x,y * (K(u \ K(v5,v6),z) * w)). K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,y * (K(v5,z) * v6)). K(x,y * (z * K(u \ K(w,v5),v6))) = K(x,y * (K(v6,u) * z)). T(x,y \ z) = T(x,y \ (a(u,w,K(v5,v6)) * z)). T(x,y \ (a(z,u,K(w,v5)) * v6)) = T(x,y \ v6). (x \ (a(y,z,K(u,w)) * v5)) \ (a(y,z,K(u,w)) * v5) = T(x,x \ v5). T(x,x \ y) = (x \ (a(z,u,K(w,v5)) * y)) \ (a(z,u,K(w,v5)) * y). K(x,K(y \ ((z \ 1) / u),w) * v5) != v6 | K(x,K(((u \ 1) \ z) * y,w) * v5) = v6. K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * y) * z) * v5). a(x,L(y \ 1,z,K(u,w)),T(y,a(w,z,u))) = a(x,y \ 1,y). a(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = a(x,y \ 1,y). (x * (L(y \ 1,z,K(u,w)) * L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). K(x / (y * z),u) = K(x / (T(z,y) * y),u). K(x / (T(y,z) * z),u) = K(x / (z * y),u). K(x / ((y \ z) * y),u) = K(x / (y * (z / y)),u). x != K(y / (z * (u / z)),w) | K(y / T(u,z),w) = x. K(x / T(y,z),u) = K(x / ((z \ y) * z),u). K(x / ((y \ z) * y),u) = K(x / T(z,y),u). K((x \ y) * T(z * K(u,x),w),v5) = K((T(x,u) \ y) * T(z,w),v5). K((x * K(y,z)) * (z \ u),w) = K((T(z,y) \ u) * T(x,z \ u),w). K((T(x,y) \ z) * T(u,x \ z),w) = K((u * K(y,x)) * (x \ z),w). K(x * (K(y,z) * (z \ u)),w) = K((T(z,y) \ u) * T(x,z \ u),w). K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (K(y,x) * (x \ z)),w). K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (T(x,y) \ z),w). K((T(x,y) \ z) * T(u,x \ z),w) != v5 | K(K(y,x) * (u * (x \ z)),w) = v5. K(K(x,y) * (z * (y \ u)),w) = K(z * (T(y,x) \ u),w). K(K(x,T(y,z)) * (K(z,y) * u),w) = K(y * (T(T(y,z),x) \ u),w). K(K(x,T(y,z)) * (K(u,w) * v5),v6) != v7 | K(K(x,y) * (v5 * K(u,w)),v6) = v7. K(K(x,y) * (z * K(u,y)),w) = K(y * (T(T(y,u),x) \ z),w). K((T(T(x,y),z) \ x) * u,w) = K(x * (T(T(x,y),z) \ u),w). K((T(T(x,y),z) \ x) * u,w) != v5 | K(K(y,x) * (u * K(x,z)),w) = v5. K(K(x,y) * (z * K(y,u)),w) = K(y * (T(T(y,x),u) \ z),w). K(K(x,L(y,z,u)) * (w * K(L(y,z,u),v5)),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). K(K(x * ((y \ 1) \ z),u) * (w * K(L(u,z,y),v5)),v6) = K(L(u,z,y) * (T(T(L(u,z,y),(x * y) * z),v5) \ w),v6). K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(L(x,y,z),w)),v6). K(K(x,L(y,z,u)) * (w * K(y,L(v5,z,u))),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). K(K(x,L(y,z,u)) * (w * K(v5,y)),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,L(x,y,z)) * (v5 * K(w,x)),v6). K(K(x,y) * (z * K(u,y)),w) = K(L(y,v5,v6) * (T(L(T(y,x),v5,v6),u) \ z),w). K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,x) * (v5 * K(w,x)),v6). x != K(K(y,z) * (u * K(w,z)),v5) | K(z * (T(T(z,w),y) \ u),v5) = x. K(x * (T(T(x,y),z) \ u),w) = K(L(x,v5,v6) * (T(L(T(x,z),v5,v6),y) \ u),w). K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u) \ v5),v6). K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(x,L(w,y,z))),v6). x != K(y * (z * K(u,L(w,v5,v6))),v7) | K(y * (z * K(w,u)),v7) = x. K(K(x * ((y \ 1) \ z),u) * (w * K(v5,u)),v6) = K(L(u,z,y) * (T(T(L(u,z,y),(x * y) * z),v5) \ w),v6). K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(w,x)),v6). K(x * (T(T(x,y),z * ((u \ 1) \ w)) \ v5),v6) = K(L(x,w,u) * (T(T(L(x,w,u),(z * u) * w),y) \ v5),v6). K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). K(L(x,y,z) * (T(L(T(x,(u * z) * y),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) != v7 | K(x * (T(T(x,w),u) \ v5),v6) = v7. K(x * (T(T(x,y),(z * u) * w) \ v5),v6) = K(x * (T(T(x,y),z * ((u \ 1) \ w)) \ v5),v6). K(x * (T(T(x,y),z * ((u \ 1) \ w)) \ v5),v6) = K(x * (T(T(x,y),(z * u) * w) \ v5),v6). K(x * (T(T(x,K(y,z * u)),(x * y) * ((z \ 1) \ u)) \ w),v5) != v6 | K(K(x,((z \ 1) \ u) * y) * w,v5) = v6. K(K(x,((y \ 1) \ z) * u) * w,v5) = K(x * (T(T(x,K(u,y * z)),((x * u) * y) * z) \ w),v5). K(x * (T(T(x,K(y,z * u)),((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(x * (T(T(y,K(z,u)),w) \ v5),v6) != v7 | K(x * (T(y,w) \ v5),v6) = v7. K(x * (T(x,((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). K(K(x,y * ((z \ 1) \ u)) * w,v5) = K(K(((x * u) * z) * y,x) * w,v5). K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,u * ((z \ 1) \ y)) * w,v5). x != K(K(y,z * ((u \ 1) \ w)) * v5,v6) | K(K(y,(z * u) * w) * v5,v6) = x. K(K(x,(y * z) * u) * w,v5) = K(K(((x * u) * z) * y,x) * w,v5). K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,(u * z) * y) * w,v5). K(K(((x * y) * z) * u,x) * w,v5) != v6 | K(K(R(x,y,z),u * T(y * z,v7)) * w,v5) = v6. K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(x,(u * z) * y) * v5,v6). K(K(x,L(y * T(z * u,w),z,u)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). K(K(x,y * T(z * u,w)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). K(K(x,y * T(z,u)) * w,v5) != v6 | K(K(x,y * z) * w,v5) = v6. K(K(x,y * (z * u)) * w,v5) = K(K(x,(y * u) * z) * w,v5). K(K(x,(y * z) * u) * w,v5) = K(K(x,y * (u * z)) * w,v5). K(K(x,(y * T(z,u)) * w) * v5,v6) != v7 | K(K((y * z) * w,x) * v5,v6) = v7. K(K((x * y) * z,u) * w,v5) = K(K(u,x * (z * T(y,v6))) * w,v5). K(K(x,y * (z * T(u,w))) * v5,v6) = K(K((y * u) * z,x) * v5,v6). K(K(x,y * (z * T(u,w))) * v5,v6) != v7 | K(K(y * (z * u),x) * v5,v6) = v7. K(K(x * (y * z),u) * w,v5) = K(K((x * z) * y,u) * w,v5). K(K((x * y) * z,u) * w,v5) = K(K(x * (z * y),u) * w,v5). K(x * K((y * T(z,u)) * w,v5),v6) = K(K(y * (w * z),v5) * x,v6). K(x * (y \ K(K(z,u) * ((w * z) * v5),v6)),v7) = K(K(w * (v5 * z),v6) * (y \ x),T(v7,x)). K(K(x * (y * z),u) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K(K(z,v7) * ((x * z) * y),u)),v6). K(x * (y \ K(z,u * (w * v5))),v6) = K(x * (y \ K(K(v5,v7) * ((u * v5) * w),z)),v6). K(x * (y \ K(K(z,u) * ((w * z) * v5),v6)),v7) = K(x * (y \ K(v6,w * (v5 * z))),v7). K(x * (y \ K(z,(u * w) * v5)),v6) = K(x * (y \ K(z,u * (v5 * w))),v6). K(x * (y \ K(z,(u * w) * (u \ v5))),v6) != v7 | K(x * (y \ K(z,v5 \ L(w \ 1,w,u))),v6) = v7. K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,v5 * ((v5 \ u) * w))),v6). K(x * (y \ K(z,(u * w) * v5)),v6) != v7 | K(x * (y \ K(u * ((w \ 1) \ v5),z)),v6) = v7. K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,z * (w * u))),v6). K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) != v7 | K(x * (y \ K(z,u * w)),v6) = v7. K(x * (y \ K(z,u * w)),v5) = K(x * (y \ K(z,v6 * ((v6 \ u) * w))),v5). K(x * (y \ K(z,u * ((u \ w) * v5))),v6) = K(x * (y \ K(z,w * v5)),v6). K(K(x,K(y,z * (u * w))) * (v5 \ K(u * ((w \ 1) \ z),x)),v6) != v7 | K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6) = v7. K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(y,w * (z * u))),v6). K(x \ K(y,z * (u * w)),v5) = K(x \ (K(y,K(u,w * z)) * T(K(u * ((w \ 1) \ z),y),v6)),v5). K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(x \ K(y,w * (z * u)),v6). K(x \ (K(y,K(z,u * w)) * T(K(y * ((u \ 1) \ w),z),v5)),v6) = K(x \ K(z,w * (y * u)),v6). K(x \ T(K(y * ((z \ 1) \ u),w) * K(y,K(w,z * u)),v5),v6) = K(x \ K(w,u * (y * z)),v6). K(x \ T(K(((y \ 1) \ z) * u,w),v5),v6) = K(x \ K(w,z * (u * y)),v6). K(x \ K(((y \ 1) \ z) * u,w),v5) = K(x \ K(w,z * (u * y)),v5). K(x \ K((y \ z) * u,w),v5) != v6 | K(x \ K(z * (y \ u),w),v5) = v6. K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,y * (u * z)),v5). K(x \ K(y * ((z \ 1) \ u),w),v5) != v6 | K(x \ K(w,(y * z) * u),v5) = v6. K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w * u)),v5). x != K(y \ (K(z,u) * w),v5) | K((y \ w) * K(z,u),v5) = x. K((((x \ K(y,z)) * (((u \ z) * u) * y)) \ (y * z)) * K(u \ z,u),w) = K(x,L(T(w,K(y,z) * (((u \ z) * u) * y)),K(y,z),((u \ z) * u) * y)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)) * K(w \ u,w),y). x != K(y * K(z \ u,z),w) | K(K(z,u) * y,w) = x. K(K(x,y) * (((z \ K(u,y)) * (((x \ y) * x) * u)) \ (u * y)),w) = K(z,L(T(w,K(u,y) * (((x \ y) * x) * u)),K(u,y),((x \ y) * x) * u)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(w,u) * (((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)),y). x != K(K(y,z) * (u \ (w * z)),v5) | K(u \ (w * T(z,y)),v5) = x. K(((x \ K(y,z)) * (((u \ z) * u) * y)) \ (y * T(z,u)),w) = K(x,L(T(w,K(y,z) * (((u \ z) * u) * y)),K(y,z),((u \ z) * u) * y)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * T(u,w)),y). K(x,y / z) = K(x,y / (z * a(u,w,K(v5,v6)))). K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). K(x,y / ((z * u) * K(w,v5))) = K(x,y / (z * (u * K(w,v5)))). K(x,y / L(z,u,K(w,v5))) = K(x,y / z). K(x,y / (z \ (K(u,w) * v5))) = K(x,y / ((K(w,u) * z) \ v5)). K(x,y / ((K(z,u) * w) \ v5)) = K(x,y / (w \ (K(u,z) * v5))). K(x,y / (z * (u * K(w,v5)))) != v6 | K(x,y * ((z * u) \ K(v5,w))) = v6. L(x,y,K(z,u)) * a(w,v5,K(v6,v7)) = L(a(w,v5,K(v6,v7)) * x,y,K(z,u)). K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) = K(x,K((T(u \ 1,w) \ z) * y,v5) * v6). K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) != v7 | K(x,K(((u \ 1) \ z) * y,v5) * v6) = v7. K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * T(y,v6)) * z) * v5). K(x,K(((y \ 1) \ z) * u,w) * v5) != v6 | K(x,K(w,(u * y) * z) * v5) = v6. K(x,K(y,(z * u) * w) * v5) = K(x,K(y,(z * T(u,v6)) * w) * v5). K(x,K(y,(z * T(u,w)) * v5) * v6) = K(x,K(y,(z * u) * v5) * v6). K(x,K(y * (z * T(u,w)),v5) * v6) = K(x,K(v5,(z * u) * y) * v6). x != K((y * T(z,K(u,w))) \ v5,v6) | K((y * z) \ v5,v6) = x. K((x * y) \ z,u) = K(((x * (K(w,v5) * y)) \ z) * K(w,v5),u). K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * u) \ w,v5). K(((x * y) \ z) * K(u,w),v5) = K((x * (K(w,u) * y)) \ z,v5). K((x * (K(y,z) * u)) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). K(((x * (y * z)) \ u) * K(w,y),v5) = K((x * (T(y,w) * z)) \ u,v5). K(K(x,y) * ((z * (y * u)) \ w),v5) = K((z * (T(y,x) * u)) \ w,v5). K((x * (((y \ z) * y) * u)) \ w,v5) = K(((x * (z * u)) \ w) * K(y,y \ z),v5). K(((x * (y * z)) \ u) * K(w,w \ y),v5) = K((x * (((w \ y) * w) * z)) \ u,v5). (x * K(((y * z) \ u) * K(w,v5),T(v6,y * z))) \ x = K(v6,u / (y * (K(v5,w) * z))). K(x * K(y,y \ z),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * ((z * (y * u)) \ w),v5) = K((z * (((x \ y) * x) * u)) \ w,v5). K((x * (((y \ z) * y) * u)) \ w,v5) = K(K(y,z) * ((x * (z * u)) \ w),v5). x != K(K(y,z) * ((u * (z * w)) \ v5),v6) | K((u * (T(z,y) * w)) \ v5,v6) = x. K((x * (T(y,z) * u)) \ w,v5) = K((x * (((z \ y) * z) * u)) \ w,v5). K((x * (((y \ z) * y) * u)) \ w,v5) = K((x * (T(z,y) * u)) \ w,v5). K(((x \ K(y,z)) * (((u \ z) * u) * y)) \ (y * T(z,u)),w) != v5 | K(x,L(T(w,K(y,z) * (((u \ z) * u) * y)),K(y,z),((u \ z) * u) * y)) = v5. K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (T(u,w) * z)) \ (z * T(u,w)),y). (x * K(y * ((z * u) \ K(w,v5)),v6)) \ x = K(v6,y / (z * (K(v5,w) * u))). K(x * ((y * z) \ K(u,w)),v5) = K(x / (y * (K(w,u) * z)),v5). K(x / (y * (K(z,u) * w)),v5) = K(x * ((y * w) \ K(u,z)),v5). K(x,y / (z * (K(u,w) * v5))) != v6 | K(x,y * ((z * v5) \ K(w,u))) = v6. K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (K(v5,w) * u))). K(x,y * ((R(z \ 1,z,y) * u) \ K(w,T(v5,v6)))) = K(x,y / (z \ (K(v5,T(w,v6)) * u))). K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (K(v5,T(w,v6)) * u))). K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y * ((R(z \ 1,z,y) * v6) \ K(w,u))). K(x \ K(y * ((z * u) \ K(w,v5)),v6),y / (z * (K(v5,w) * u))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). (x * y) / (K(z * ((u * w) \ K(v5,v6)),x) * y) = T(x,z / (u * (K(v6,v5) * w))). T(x,y * ((z * u) \ K(w,v5))) = T(x,y / (z * (K(v5,w) * u))). T(x,y / (z * (K(u,w) * v5))) = T(x,y * ((z * v5) \ K(w,u))). K(x,T(y,z / (u * (K(w,v5) * v6)))) = K(x,T(y,z \ (u * v6))). K(x,T(y,(z * (K(u,w) * v5)) \ v6)) = K(x,T(y,v6 \ (z * v5))). K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,z \ (u \ w))) = v5. K(x,T(y,z \ ((K(u,w) * v5) \ v6))) = K(x,T(y,v6 \ (z * v5))). K(x,T(y,z \ (u \ (K(w,v5) * v6)))) = K(x,T(y,v6 \ (z * u))). K(x,T(y,z \ ((u \ 1) \ (K(w,v5) * v6)))) != v7 | K(x,T(y,((v6 \ K(v5,w)) / u) * z)) = v7. K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,z \ (v6 * (v5 \ 1)))). x != K(y,T(z,u \ (w * (v5 \ 1)))) | K(y,T(z,(w \ u) * v5)) = x. K(x,T(y,(z \ u) * w)) = K(x,T(y,((u \ K(v5,v6)) / w) * z)). K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,(v6 \ z) * v5)). K(x,T(y,(z \ (u \ K(w,v5))) * v6)) = K(x,T(y,(v6 \ u) * z)). K(x,T(y,(z \ u) * w)) != v5 | K(x,T(y,u * (z \ w))) = v5. K(x,T(y,(z \ K(u,w)) * (v5 \ v6))) = K(x,T(y,(v6 \ z) * v5)). K(x,T(y,K(z,u) * (w \ (v5 \ v6)))) = K(x,T(y,(v6 \ w) * v5)). K(x,T(y,z \ (u \ w))) = K(x,T(y,(w \ z) * u)). x != K(y,T(z,(u \ w) * v5)) | K(y,T(z,w * (u \ v5))) = x. K(x,T(y,z * (u \ w))) = K(x,T(y,z \ (w \ u))). K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,z \ (w / u))) = v5. K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). K(T(x,y / z),T(y \ (((y / z) * u) * z),x \ (y / z))) != w | K(((x \ T(y / z,x)) * z) \ y,u) = w. K(((x \ T(y / z,x)) * z) \ y,u) = K(T(x,y / z),T(y \ (((y / z) * u) * z),x * (y \ z))). K(T(x,y / z),T(y \ (((y / z) * u) * z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). K(x,T(T(y \ (((y / z) * u) * z),y / z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). K(x,T(R(T(y,z),u \ z,u),x * (z \ u))) = K(((x \ T(z / u,x)) * u) \ z,y). K(x,R(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). K(x,L(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). K(x,L(T(T(y,z),x * (z \ u)),z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). K(x,L(T(y,x * z),u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. K(x,L(T(T(y,z),z \ u),z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). K(((x \ T(y / z,x)) * z) \ y,u) = K(x,L(T(T(u,y),y \ z),y,z)). K(((x \ T(y,x)) * z) \ u,w) != v5 | K(((y / x) * z) \ u,w) = v5. K((((x / y) / z) * y) \ x,u) = K(z,L(T(T(u,x),x \ y),x,y)). K(x,L(T(T(y,z),z \ u),z,u)) = K((((z / u) / x) * u) \ z,y). x != K((((y / z) / u) * z) \ y,w) | K(u,y \ (((y / z) * w) * z)) = x. K(x,y \ (((y / z) * u) * z)) = K(x,L(T(T(u,y),y \ z),y,z)). K(x,L(T(T(y,z),z \ u),z,u)) = K(x,z \ (((z / u) * y) * u)). (x \ K(L(T(T(y,z),z \ u),z,u),w)) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). K(x,L(T(L(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * L(y,u,w)) * v5)). K(x,L(T(R(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * R(y,u,w)) * v5)). (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (T(x,y) * K(z,T(T(u,x),x \ y))). (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,x \ y)) * T(x,y)). (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,y * x)) * T(x,y)). x != y * (K(z,T(u,y * w)) * T(w,y)) | (w * K(z,u)) * y = x. (x * K(y,z)) * u = (x * u) * K(y,x \ (((x / u) * z) * u)). (x * y) * K(z,x \ (((x / y) * u) * y)) = (x * K(z,u)) * y. (x * y) * z != (x * K(u,x \ w)) * y | K(u,(x * y) \ (w * y)) = z. K(x,(y * z) \ (u * z)) = K(x,y \ (((y / z) * (y \ u)) * z)). K(x,y \ (((y / z) * (y \ u)) * z)) = K(x,(y * z) \ (u * z)). K(x,y \ (((y / z) * u) * z)) = K(x,(y * z) \ ((y * u) * z)). K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). K(x,(y * z) \ ((y * R(u,w,v5)) * z)) != v6 | K(x,L((y * z) \ ((y * u) * z),w,v5)) = v6. K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). K(x,y \ (((y / z) * R(u,w,v5)) * z)) = K(x,L((y * z) \ ((y * u) * z),w,v5)). K(x,T((y * z) \ (u * z),w)) = K(x,y \ (((y / z) * T(y \ u,w)) * z)). K(x,y \ (((y / z) * T(y \ u,w)) * z)) = K(x,T((y * z) \ (u * z),w)). K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * L(y,w,v5)) * u)). K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,L(z \ (((z / u) * y) * u),w,v5)). K(x,L(R(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) != v6 | K(x,L(z \ (((z / u) * y) * u),w,v5)) = v6. K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). K(x,y \ (((y / z) * R(u,w,v5)) * z)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). K(x,y \ (((y / z) * R(u,w,v5)) * z)) != v6 | K(x,L((y * z) \ ((y * u) * z),w,v5)) = v6. K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). K(x,y \ (z \ ((z * u) * y))) = K(x,L(z \ (((z / y) * u) * y),y,z \ 1)). K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). a(x,y,K(z \ (((z / y) * u) * y),z)) * K(x,z \ (((z / y) * u) * y)) = K(x,y \ (z \ ((z * u) * y))). (x \ K(L(y \ (((y / z) * u) * z),z,y \ 1),w)) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). x \ ((x * y) * K(z,x \ (((x / y) * u) * y))) = y * K(z,y \ (x \ ((x * u) * y))). (x \ K(y \ (((y / z) * u) * z),L(w,z,y \ 1))) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). x \ ((x * K(y,z)) * u) = u * K(y,u \ (x \ ((x * z) * u))). x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). (x \ ((x * K(y,z)) * u)) * K(w,v5) = u * (K(y,u \ (x \ ((x * z) * u))) * K(w,v5)). x * (K(y,x \ (z \ ((z * u) * x))) * K(w,v5)) = (z \ ((z * K(y,u)) * x)) * K(w,v5). (x \ 1) * (K(y,x * (z \ ((z * u) * (x \ 1)))) * K(w,v5)) = (z \ ((z * K(y,u)) * (x \ 1))) * K(w,v5). (x \ 1) * (K(y,z) * K(u,w)) != v5 | (x \ K(u,w)) * K(y,z) = v5. (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = (w \ ((w * K(u,v5)) * (x \ 1))) * K(y,z). x != (y \ ((y * K(z,u)) * (w \ 1))) * K(v5,v6) | y \ ((y * K(z,u)) * (w \ K(v5,v6))) = x. x \ ((x * K(y,z)) * (u \ K(w,v5))) = (u \ K(w,v5)) * K(y,u * (x \ ((x * z) * (u \ 1)))). (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = w \ ((w * K(u,v5)) * (x \ K(y,z))). (x \ K(T(T(y,z),z \ u),L(w,z,u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). (x \ K(T(y,z),T(L(u,z,w),z \ w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). (x \ K(T(y,z),L(T(u,z \ w),z,w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). (x \ K(y,T(L(T(z,u \ w),u,w),u))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). (x \ K(y,L(T(T(z,u),u \ w),u,w))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). (x \ K(y,z \ (((z / u) * w) * u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). (x \ K(y,z \ (((z / u) * L(w,u,z \ 1)) * u))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). a(x,y,K(z,u \ (((u / y) * u) * y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). (x \ K(y,L(z \ (((z / u) * w) * u),u,z \ 1))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). (x \ K(y,z \ (u \ ((u * w) * z)))) \ (x \ 1) = K(w,z \ (u \ ((u * y) * z))). K(x \ (y \ ((y * z) * x)),u) = K(z,x \ (y \ ((y * u) * x))). K(x \ (y \ ((y * z) * x)),T(y \ L(y,u,w),v5)) = K(z,x \ (y \ (L(y,u,T(w,v5)) * x))). K(x,T(y \ L(y,z,u),w)) != v5 | a(y,z,K(x,u)) = v5. a(x,y,K(z \ (x \ ((x * u) * z)),w)) = K(u,z \ (x \ (L(x,y,T(w,v5)) * z))). a(x,y,K(z,u \ (x \ ((x * w) * u)))) = K(z,u \ (x \ (L(x,y,T(w,v5)) * u))). a(x,y,K(z,u \ ((x * w) * u))) = K(z,u \ (x \ (L(x,y,T(w,v5)) * u))). K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,y \ ((z * w) * y))). K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,T(z * w,y))). x != a(y,z,K(u,T(w,v5))) | a(y,z,K(u,w)) = x. a(x,y,K(z,x * u)) = K(z,w \ (x \ (L(x,y,T(u,v5)) * w))). K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,z * w)). x != a(y,z,K(u,y * w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = K(z,w \ (x \ (L(x,y,T(u,v5)) * w))). K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,w)). a(x,y,K(z,T(u,y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). a(x,y,K(z,u)) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). a(x,y,K(z \ u,z)) * K(x,z \ (((z / y) * (z \ u)) * y)) = K(x,y \ (z \ (u * y))). a(x,y,K(T(z \ L(z,u,w),v5),z)) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). a(x,y,K(z \ L(z,u,w),T(z,v5))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). a(x,y,a(z,u,K(w,T(z,v5)))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). a(x,y,a(z,u,K(w,z))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). a(x,y,1) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). 1 * K(x,y \ (((y / z) * T(y \ L(y,u,w),v5)) * z)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). 1 * K(x,T((y * z) \ (L(y,u,w) * z),v5)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). x != K(y,z \ (u \ (L(u,w,T(v5,v6)) * z))) | K(y,T((u * z) \ (L(u,w,v5) * z),v6)) = x. K(x,T((y * z) \ (L(y,u,w) * z),v5)) = a(y,u,K(x,w)). K(x,T((y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,z \ 1) * ((((z \ u) \ u) \ 1) * w)),u)) != v5 | K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))) = v5. K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(w,u,K(x,y \ 1)). a(x,y,K(z,u)) = K(x,(((((u \ w) \ w) \ 1) * y) * z) \ (T(u \ 1,w) * (y * z))). K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(x,u,K(w,y)). a(x,y,K(z,u)) * K(x,u \ (((u / y) * (u \ z)) * y)) = K(x,y \ (u \ (z * y))). a(x,y,K(z,u)) * K(x,(u * y) \ (z * y)) = K(x,y \ (u \ (z * y))). x != K(y,(T(z,u) \ w) \ v5) | K(y,K(z,u) * ((z \ w) \ v5)) = x. K(x,K(y,z) * ((y \ u) \ (w \ (v5 * (T(y,z) \ u))))) = a(x,T(y,z) \ u,K(v5,w)) * K(x,(w * (T(y,z) \ u)) \ (v5 * (T(y,z) \ u))). a(x,T(y,z) \ u,K(w,v5)) * K(x,(v5 * (T(y,z) \ u)) \ (w * (T(y,z) \ u))) = K(x,K(y,z) * ((y \ u) \ (v5 \ (w * (T(y,z) \ u))))). K(x,y * (z \ (u * (y \ 1)))) = a(x,y \ 1,K(u,z)) * K(x,(z * (y \ 1)) \ (u * (y \ 1))). a(x,y \ 1,K(z,u)) * K(x,(u * (y \ 1)) \ (z * (y \ 1))) = K(x,y * (u \ (z * (y \ 1)))). a(x,y,K(z,u)) * K(z,(u * (y \ 1)) \ (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). a(x,y,K(z,u)) * K(z,(y * (u \ 1)) * (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). a(x,T(y,z),K(u,w)) * K(u,(w * (T(y,z) \ 1)) \ (x * (T(y,z) \ 1))) = K(u,K(y,z) * ((y \ 1) \ (w \ (x * (T(y,z) \ 1))))). a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * (T(y,w) \ 1))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). a(x,y,K(z,u)) * K(z,(T(y,w) * (u \ 1)) * (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). K(((T(x,y) \ 1) * z) * u,w) = K((T(x \ 1,y) * z) * u,w). K(K(x \ 1,y) * (((z * x) \ 1) \ u),w) = K((T(x \ 1,y) * (z \ 1)) \ u,w). K((x * y) * (K(z,y \ 1) * u),w) = K((T(y \ 1,z) * (x \ 1)) \ u,w). K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x \ 1) * u),w). K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x \ 1) * u),w). K(x * (K(y,z) * u),w) = K(x * (K(y,z \ 1) * u),w). K(x * (K(y,z \ 1) * u),w) = K(x * (K(y,z) * u),w). K((x * y) * (K(z,y \ 1) * u),w) != v5 | K((T(y \ 1,z) * (x \ 1)) \ u,w) = v5. K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x) * u),w). K((x * (y \ 1)) * z,u) = K(((y \ 1) * x) * (K(x,y) * z),u). K(((x \ 1) * y) * (K(y,x) * z),u) = K((y * (x \ 1)) * z,u). K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * y) * (K(z,y) * u),w). K(x \ K(y,z),L(T(u,w * x),x,w)) = K(((x * w) \ w) * K(y,z),u). K((x * K(y,z)) / (x * u),w) = K(((u * x) \ x) * K(y,z),w). K(x * ((x * y) \ K(z,u)),w) = K(((y * x) \ x) * K(z,u),w). K(((x * y) \ y) * K(z,u),w) = K(y * ((y * x) \ K(z,u)),w). K((x * (y * z)) \ (z * y),u) = K((y * z) * (((y * z) * x) \ K(z,y)),u). K((x * y) * (((x * y) * z) \ K(y,x)),u) = K((z * (x * y)) \ (y * x),u). K(x \ K(y,z),T(u,y * z)) = K((x * (y * z)) \ (z * y),u). K((x * (y * z)) \ (z * y),u) = K(x \ K(y,z),T(u,y * z)). K(((x \ K(y,z)) * (T(z,u) * y)) \ (y * T(z,u)),w) != v5 | K(x,L(T(w,K(y,z) * (((u \ z) * u) * y)),K(y,z),((u \ z) * u) * y)) = v5. K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(T(u,w),z),T(y,T(u,w) * z)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(u,T(z,w)),T(y,T(u,w) * z)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,T(u,w) * z)). x != K(y,T(z,T(u,w) * v5)) | K(y,T(z,u * v5)) = x. K(K(x,y) * (z * K(x,T(y,u))),T(w,x * y)) = K(z,L(T(w,K(y,x) * (((u \ x) * u) * y)),K(y,x),((u \ x) * u) * y)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,u * z)). K(K(x,y) * (z * K(x,y)),T(u,x * y)) = K(z,L(T(u,K(y,x) * (((w \ x) * w) * y)),K(y,x),((w \ x) * w) * y)). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,z)),T(y,u * z)). K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,L(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(w,v5)))). K(x,y * ((R(z \ 1,z,y) * u) \ K(L(w,u,z \ 1),v5))) = K(x,y / (z \ (u * K(v5,w)))). K(x,y * ((R(z \ 1,z,y) * u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (u * K(w,v5)))). K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) != v6 | K(x,y / (z \ (K(v5,T(w,v7)) * u))) = v6. K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y / (z \ (v6 * K(w,u)))). K((x * y) * (K(y,z) * u),w) != v5 | K((x * T(y,z)) * u,w) = v5. K(((x \ 1) * T(y,x)) * z,u) = K((y * (x \ 1)) * z,u). K((x * T(y,T(z,u))) * w,v5) != v6 | K((x * T(y,z)) * w,v5) = v6. K(((T(x,y) \ 1) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). K((x * T(y,x \ 1)) * z,u) = K((y * ((x \ 1) \ 1)) * z,u). K(((T(x,y) \ 1) * z) * u,w) != v5 | K((T(x \ 1,y) * z) * u,w) = v5. K((T(x \ 1,y) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * (T(x \ 1,y) \ 1)) * u,w). K((T(x,y) * T(z,T(x \ 1,y))) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * T(x,y)) * u,w). K((T(x,y) * T(z,x \ 1)) * u,w) != v5 | K((z * (T(x \ 1,y) \ 1)) * u,w) = v5. K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * T(y,z)) * u,w). K((x * (T(y \ 1,z) \ 1)) * u,w) != v5 | K((x * y) * (K(z,y) * u),w) = v5. K((x * y) * (K(z,y) * u),w) = K((x * T(y,z)) * u,w). K((x * y) * (K(z,y) * u),w) != v5 | K((x * ((z * y) / z)) * u,w) = v5. K((x * ((y * z) / y)) * u,w) = K((x * T(z,y)) * u,w). K((T(x,y) * ((z * y) / z)) * u,w) != v5 | K((((z * y) / z) * x) * u,w) = v5. K((((x * y) / x) * z) * u,w) = K((T(z,y) * T(y,x)) * u,w). K((T(x,y) * T(y,z)) * u,w) = K((((z * y) / z) * x) * u,w). K((x * y) * z,u) = K((x * T(T(y,w),w)) * z,u). K((x * T(T(y,z),z)) * u,w) = K((x * y) * u,w). K((T(x,y) * T(y,z)) * u,w) != v5 | K((T(y,z) * x) * u,w) = v5. K((T(x,y) * z) * u,w) = K((((y * x) / y) * z) * u,w). K((((x * y) / x) * z) * u,w) = K((T(y,x) * z) * u,w). K(((L(x,y \ 1,y) / y) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). K((L(x / y,y,y \ 1) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((z * ((y * z) \ 1)) * x) * u,w). K(x,(y * (z * K(u,w))) * v5) != v6 | K(x,(y * z) * (v5 * K(w,u))) = v6. K(x,(y * T(z,y)) * (u * K(w,v5))) = K(x,((K(v5,w) * z) * y) * u). K(x,(y * z) * (u * K(w,v5))) = K(x,((K(v5,w) * y) * z) * u). K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(z,y))). K(x,(y * (z \ K(u,w))) \ v5) = K(x,(z * (y \ 1)) * (v5 * K(u,w))). K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(z * (y \ K(w,v5))) \ u). K(x,(y * (z \ 1)) * (u * K(w,v5))) != v6 | K(x,(y * (z \ K(v5,w))) * u) = v6. K(x,(y * (z \ K(u,w))) * v5) = K(x,(z * (y \ K(w,u))) \ v5). K(x,(y * (z \ K(u,w))) \ v5) = K(x,(z * (y \ K(w,u))) * v5). K(x,(y * T(z \ K(u,w),v5)) \ v6) = K(x,(z * ((y * K(z \ K(u,w),v5)) \ K(w,u))) * v6). K(x,(y * ((z * K(y \ K(u,w),v5)) \ K(w,u))) * v6) = K(x,(z * T(y \ K(u,w),v5)) \ v6). K(x,(y * (K(z,y \ K(u,w)) * (v5 \ K(w,u)))) * v6) = K(x,(v5 * T(y \ K(u,w),z)) \ v6). K(x,(y * (K(z,u) * w)) * v5) != v6 | K(x,(y * w) * (v5 * K(u,z))) = v6. K(x,(y * (z \ K(u,w))) * (v5 * K(y \ K(w,u),v6))) = K(x,(z * T(y \ K(w,u),v6)) \ v5). K(x,y * (z * K(u \ K(w,v5),v6))) != v7 | K(x,y * (K(v6,u) * z)) = v7. K(x,(y * (z \ K(u,w))) * (K(v5,y) * v6)) = K(x,(z * T(y \ K(w,u),v5)) \ v6). K(x,(y * z) * (K(u,y) * w)) != v5 | K(x,(T(y,u) * z) * w) = v5. K(x,(T(y,z) * (u \ K(w,v5))) * v6) = K(x,(u * T(y \ K(v5,w),z)) \ v6). K(x,(y * T(z \ K(u,w),v5)) \ v6) = K(x,(T(z,v5) * (y \ K(w,u))) * v6). K(x,((y \ 1) * T(z \ K(u,K(w,v5)),v6)) \ (v7 * T(z \ 1,v6))) != v8 | K(x,((z * y) \ K(u,K(w,v5))) \ (v7 * (z \ 1))) = v8. K(x,((y * z) \ K(u,K(w,v5))) \ (v6 * (y \ 1))) = K(x,(T(y,v7) * ((z \ 1) \ K(K(w,v5),u))) * (v6 * T(y \ 1,v7))). K(x,(T(y,z) * ((u \ 1) \ K(K(w,v5),v6))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(v6,K(w,v5))) \ (v7 * (y \ 1))). K(x,(T(y,z) * ((u \ 1) \ K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). K(x,(T(y,z) * (u * K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). K(x,(T(y,z) * u) * (K(w,K(v5,v6)) * (v7 * T(y \ 1,z)))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). K(x,(T(y,z) * u) * (w * T(y \ 1,z))) = K(x,((y * u) \ K(v5,K(v6,v7))) \ (w * (y \ 1))). K(x,((y * z) \ K(u,K(w,v5))) \ (v6 * (y \ 1))) = K(x,(T(y,v7) * z) * (v6 * T(y \ 1,v7))). K(x,(y \ K(z,u)) \ w) != v5 | K(x,K(z,u) * (y * w)) = v5. K(x,K(y,K(z,u)) * ((w * v5) * (v6 * (w \ 1)))) = K(x,(T(w,v7) * v5) * (v6 * T(w \ 1,v7))). K(x,(y * z) * (u * (y \ 1))) = K(x,(T(y,w) * z) * (u * T(y \ 1,w))). K(x,(T(y,z) * u) * (w * T(y \ 1,z))) = K(x,(y * u) * (w * (y \ 1))). a(x,y,K(z,u)) * K(z,(y * (u \ 1)) * (x * (y \ 1))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = a(w,y,K(x,u)) * K(x,(y * (u \ 1)) * (w * (y \ 1))). x != a(y,z,K(u,w)) * K(u,(z * (w \ 1)) * (y * (z \ 1))) | K(u,z * (w \ (y * (z \ 1)))) = x. K(x,y * (z \ (u * (y \ 1)))) = K(x,K(y,w) * ((y \ 1) \ (z \ (u * (T(y,w) \ 1))))). K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = K(x,y * (u \ (w * (y \ 1)))). K(x,K(y,z) * ((y \ u) \ w)) != v5 | K(x,(T(y,z) \ u) \ w) = v5. K(x,(T(y,z) \ 1) \ (u \ (w * (T(y,z) \ 1)))) = K(x,y * (u \ (w * (y \ 1)))). K(x,K(y,(z \ u) * K(T(w,v5),v6))) * K(x,y * (((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1))) = K(x,(((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1)) * y). K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) * 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ K(w,K(v5,v6)))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). K(x,K(y,z \ u)) * K(x,y * (((K(w,T(v5,v6)) * z) \ u) \ 1)) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 * (((K(y,T(z,v5)) * u) \ w) \ 1)). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / ((K(y,T(z,v5)) * u) \ w)). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(T(z,v5),y) * w))). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(z,T(y,v5)) * w))). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) * 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). K(x,(((K(y,z) * u) \ w) \ K(y,K(z,v5))) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). K(x,(((K(y,T(z,u)) * w) \ v5) \ 1) * v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). K(x,((K(y,T(z,u)) * w) \ v5) \ v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). K(x,((K(y,z) * u) \ w) \ v5) != v6 | K(x,(u \ (K(z,y) * w)) \ v5) = v6. K(x,(y \ (K(T(z,u),w) * v5)) \ v6) = K(x,K(v6,y \ v5)) * K(x,v6 / (y \ (v5 * K(w,z)))). K(x,(y \ (K(z,u) * w)) \ v5) = K(x,K(v5,y \ w)) * K(x,v5 / (y \ (w * K(u,z)))). K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(z \ (K(v5,w) * u)) \ y). K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) != v6 | K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y) = v6. K(x,(K(y,L(z,u,w \ 1)) \ ((w \ u) \ 1)) * v5) = K(x,(w \ (K(z,y) * u)) \ v5). K(x,(K(L(y,z,u \ 1),w) * ((u \ z) \ 1)) * v5) = K(x,(u \ (K(y,w) * z)) \ v5). K(x,(K(y,L(z,u,w \ 1)) * ((w \ u) \ 1)) * v5) = K(x,(w \ (K(y,z) * u)) \ v5). K(x,((y \ (z * K(u,w))) \ 1) * v5) = K(x,(y \ (K(w,u) * z)) \ v5). K(x,(y \ (z * K(u,w))) \ v5) = K(x,(y \ (K(w,u) * z)) \ v5). K(x,(y \ (K(z,u) * w)) \ v5) = K(x,(y \ (w * K(u,z))) \ v5). x != K(y,(z \ (u * K(w,v5))) \ v6) | K(y,K(v5,w) * ((z \ u) \ v6)) = x. K(x,K(y,z) * ((u \ w) \ v5)) = K(x,(u \ (K(y,z) * w)) \ v5). K(x,(y \ (K(z,u) * w)) \ v5) = K(x,K(z,u) * ((y \ w) \ v5)). K(x,(T(y,K(z,u) * w) \ (K(z,L(u,w,y)) * w)) \ v5) != v6 | K(x,(K(z,u) * (w / y)) \ v5) = v6. K(x,(K(y,z) * (u / w)) \ v5) = K(x,K(y,L(z,u,w)) * ((T(w,K(y,z) * u) \ u) \ v5)). K(x,K(y,L(z,u,w)) * ((T(w,K(y,z) * u) \ u) \ v5)) = K(x,(K(y,z) * (u / w)) \ v5). K(x,(T(y,z) \ z) \ u) != w | K(x,(z / y) \ u) = w. K(x,((K(y,z) * u) / w) \ v5) = K(x,K(y,z) * ((T(w,K(y,z) * u) \ u) \ v5)). K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,((K(y,z) * w) / u) \ v5). K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,(K(y,z) * (w / u)) \ v5). K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) != v6 | K(x,((K(y,z) * w) / u) \ v5) = v6. K(x,((K(y,z) * u) / w) \ v5) = K(x,(K(y,z) * (u / w)) \ v5). x != K(y,(K(z,u) * w) \ v5) | K(y,(w \ v5) * K(u,z)) = x. K(x,((y / z) \ u) * K(w,v5)) = K(x,((K(v5,w) * y) / z) \ u). K(x,((K(y,z) * u) / w) \ v5) = K(x,((u / w) \ v5) * K(z,y)). K(x,((K(y,z) * u) / w) \ v5) != v6 | K(x,(u / (K(z,y) * w)) \ v5) = v6. K(x,(y / (K(z,u) * w)) \ v5) = K(x,((y / w) \ v5) * K(z,u)). K(x,y / (z / (K(u,w) * v5))) = K(x,((z / v5) \ T(y,v5 \ z)) * K(u,w)). K(x,((y / z) \ T(u,z \ y)) * K(w,v5)) = K(x,u / (y / (K(w,v5) * z))). K(x,((y / z) \ T(u,z \ y)) * w) != v5 | K(x,(u / (y / z)) * w) = v5. K(x,(y / (z / u)) * K(w,v5)) = K(x,y / (z / (K(w,v5) * u))). K(x,y / (z / (K(u,w) * v5))) = K(x,(y / (z / v5)) * K(u,w)). x != K(y,(z / u) * K(w,v5)) | K(y,z * (u \ K(w,v5))) = x. K(x,y * ((z / u) \ K(w,v5))) = K(x,y / (z / (K(w,v5) * u))). K(x,y / (z / (K(u,w) * v5))) = K(x,y * ((z / v5) \ K(u,w))). K(x,y * ((z \ K(u,w)) \ (v5 \ 1))) = K(x,y * ((v5 / z) \ K(w,u))). K(x,y / (z / (K(u,w \ 1) * (T(u \ 1,w) * v5)))) != v6 | K(x,y / (z / (T(T(u \ 1,w),w) * v5))) = v6. K(x,y / (z / (T(T(u \ 1,w),w) * v5))) = K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w \ 1))). K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w \ 1))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). K(x,y / (z / (u * w))) = K(x,y * ((z / (T(u,v5) * w)) \ K(v5,u))). K(x,y * ((z / (T(u,w) * v5)) \ K(w,u))) = K(x,y / (z / (u * v5))). K(x,y / (z / (T(T(u,w),v5) * v6))) = K(x,y * ((z / (T(u,v5) * v6)) \ K(u,T(w,v5)))). K(x,y * ((z / (T(u,w) * v5)) \ K(u,T(v6,w)))) = K(x,y / (z / (T(T(u,v6),w) * v5))). K(x,y * (z \ K(u,w \ 1))) != v5 | K(x,y * (z \ K(u,w))) = v5. K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). K(x,y * ((z / (T(u,w) * v5)) \ K(u,v6))) = K(x,y / (z / (T(T(u,v6),w) * v5))). K(x,y * ((z / (T(u,w) * v5)) \ K(v6,u))) = K(x,y / (z / (T(T(u,v6),w) * v5))). K(x,y * ((z / (T(u,w) * v5)) \ K(w,u))) != v6 | K(x,y / (z / (u * v5))) = v6. K(x,y / (z / (u * w))) = K(x,y / (z / (T(T(u,v5),v5) * w))). K(x,y / (z / (T(T(u,w),w) * v5))) = K(x,y / (z / (u * v5))). K(x,y / (z / (T(T(u \ 1,w),w) * v5))) != v6 | K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = v6. K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / ((u \ 1) * v5))). K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (((z * y) \ 1) * z)) * u,w). x / (K(y,z) * u) = K(y,K(z,w)) * (x / (K(y,T(z,w)) * u)). K(x,K(y,z)) * (u / (K(x,T(y,z)) * w)) = u / (K(x,y) * w). T(x,x \ y) = (L(x,z,K(u,w)) \ y) \ (a(w,z,K(u,x)) * y). (L(x,y,K(z,u)) \ w) \ (a(u,y,K(z,x)) * w) = T(x,x \ w). (L(x,y,K(z,u)) \ 1) * L(T(x,x \ 1),w,v5) = L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5). L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = (L(x,y,K(z,u)) \ 1) * L(T(x,x \ 1),w,v5). L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(T(x,x \ 1),w,v5). L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * a(u,y,K(z,x)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). L(x,y,K(z,u)) \ L(L(a(u,y,K(z,x)) * x,y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). L(x,y,K(z,u)) \ L(L(L(x,y,K(u,z)),y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). L(x,y,K(z,u)) \ L(x,w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). L(x \ 1,y,K(z,u)) * L(x,w,v5) = L(x,y,K(z,u)) \ L(x,w,v5). (x * (L(y,z,K(u,w)) \ L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). (x * 1) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = (x * 1) * a(x,y \ 1,y). x != (y * 1) * a(y,z \ 1,z) | R(y,z \ 1,z) = x. R(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,y \ 1,y). (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) != v5 | R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = v5. R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = R(x,y \ 1,y). R(K(x,y) / z,L(u \ 1,z,K(y,x)),L(u,z,K(y,x))) != w | (K(x,y) / (u * z)) * L(u,z,K(y,x)) = w. (K(x,y) / (z * u)) * L(z,u,K(y,x)) = R(K(x,y) / u,z \ 1,z). (K(x,y) / (z * u)) * L(z,u,K(y,x)) != w | K(x,y) / L(u,z,z \ 1) = w. K(x,y) / L(z,u,u \ 1) = R(K(x,y) / z,u \ 1,u). L(x,y,y \ 1) \ K(z,u) = R(K(z,T(u,x)) / x,y \ 1,y). R(K(x,T(y,z)) / z,u \ 1,u) = L(z,u,u \ 1) \ K(x,y). R(x \ K(y,z),u \ 1,u) = L(x,u,u \ 1) \ K(y,z). L(x,y,y \ 1) \ K(z,u) = R(x \ K(z,u),y \ 1,y). x != R(y,z \ 1,u \ 1) | L(y \ 1,z,u) \ 1 = x. L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,(u \ 1) \ 1) \ K(y,z). ((((x \ 1) \ 1) * (x \ 1)) \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,u) \ K(y,z). L(K(x,y) * z,u \ 1,u) \ 1 = L(z,u \ 1,u) \ K(y,x). R((K(x,y) * z) \ 1,u,u \ 1) = L(z,u \ 1,u) \ K(y,x). R(x \ K(y,z),u,u \ 1) = L(x,u \ 1,u) \ K(y,z). L(x,y \ 1,y) \ K(z,u) = R(x \ K(z,u),y,y \ 1). x * R(x \ K(y,z),u,u \ 1) = a(u,u \ 1,x) * K(y,z). (K(x,y) * z) \ (z * (a(u,u \ 1,w) * K(x,T(y,z)))) = a(u,u \ 1,z \ ((K(y,x) * z) * w)). (K(x,y) * z) \ (z * u) != w | z \ ((K(y,x) * z) * u) = w. x \ ((K(y,z) * x) * (a(u,u \ 1,w) * K(z,T(y,x)))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). x \ ((x * K(y,z)) * (a(u,u \ 1,w) * K(z,y))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). x \ ((x * K(y,z)) * (u * K(w,v5))) != v6 | (x \ ((x * K(y,z)) * u)) * K(w,v5) = v6. (x \ ((x * K(y,z)) * a(u,u \ 1,w))) * K(z,y) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). (x \ ((x * K(y,z)) * u)) * K(z,y) != w | L(T(u,K(z,y)),K(z,y),x) = w. L(T(a(x,x \ 1,y),K(z,u)),K(z,u),w) = a(x,x \ 1,w \ ((K(u,z) * w) * y)). L(a(x,x \ 1,y),K(z,u),w) = a(x,x \ 1,w \ ((K(u,z) * w) * y)). a(x,x \ 1,y \ ((K(z,u) * y) * w)) = L(a(x,x \ 1,w),K(u,z),y). x != L(a(y,y \ 1,z),u,w) | a(y,y \ 1,L(z,u,w)) = x. a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,w \ ((K(u,z) * w) * y)). a(x,x \ 1,y \ ((K(z,u) * y) * w)) = a(x,x \ 1,L(w,K(u,z),y)). (1 \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). (1 \ (x * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (1 \ (u * ((x * u) \ 1))) \ K(y,z). R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (u * ((x * u) \ 1)) \ K(y,z). x != (y * (z \ 1)) \ K(u,w) | (z * (y \ 1)) * K(u,w) = x. ((x * y) * (y \ 1)) * K(z,u) = R((x \ 1) \ K(z,u),(y \ 1) \ 1,y \ 1). R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = ((x * u) * (u \ 1)) * K(y,z). R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). R(x * K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). R(x,(y \ 1) \ 1,z) != u | R(x,y,z) = u. R(x * K(y,z),u,u \ 1) = R(x,u,u \ 1) * K(y,z). R(x,y,y \ 1) * K(z,u) = R(x * K(z,u),y,y \ 1). (K(x,y) * z) \ T(R(z * K(x,y),u,u \ 1),z) = a(z,u,u \ 1). (K(x,y) * z) \ R(T(z * K(x,y),z),u,u \ 1) = a(z,u,u \ 1). (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). a(K(x,y) * (z \ x),u,w) != v5 | a(z \ T(x,y),u,w) = v5. a(x \ T(y,z),u,u \ 1) = a(x \ y,u,u \ 1). a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). a(T(x,y) \ z,u,u \ 1) = a(x \ z,u,u \ 1). a(L(K(x,y) * z,y,x),u,u \ 1) = a(L(z,y,x),u,u \ 1). (T(x,y) / y) * a(y \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). K(x,y / R(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). K(x,y / R(z,u,u \ 1)) != w | K(x,y / L(z,u,u \ 1)) = w. K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). x != K(y,z / R(u,w,w \ 1)) | K(y,z / L(u,w,w \ 1)) = x. K(x,y / L(z \ u,w,w \ 1)) = K(x,y / L(u / T(z,u),w,w \ 1)). K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / L(u \ z,w,w \ 1)). a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). a(x \ (y * T(z,u)),w,w \ 1) = a(x \ (y * z),w,w \ 1). a(x \ (y * (z * K(u,w))),v5,v5 \ 1) = a(x \ (y * z),v5,v5 \ 1). a(((((K(x,y) \ 1) * z) * u) / w) \ 1,v5,v5 \ 1) = a((w \ 1) \ ((u \ 1) * (z \ 1)),v5,v5 \ 1). a((((K(x,y) * z) * u) / w) \ 1,v5,v5 \ 1) = a((w \ 1) \ ((u \ 1) * (z \ 1)),v5,v5 \ 1). a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a((((K(w,v5) * z) * y) / x) \ 1,u,u \ 1). x != a(y \ 1,z,z \ 1) | a(z,z \ 1,y) = x. a(x,x \ 1,((K(y,z) * u) * w) / v5) = a((v5 \ 1) \ ((w \ 1) * (u \ 1)),x,x \ 1). a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,((K(w,v5) * z) * y) / x). x != a(y,y \ 1,z / u) | a(y,y \ 1,u \ z) = x. a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a((y \ 1) \ ((v5 \ 1) * (w \ 1)),x,x \ 1). a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * z) * y)). a((x \ 1) \ ((y * z) \ 1),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * y) * z)). a(((x * y) / z) \ 1,u,u \ 1) = a(u,u \ 1,z \ ((K(w,v5) * x) * y)). a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(((w * v5) / y) \ 1,x,x \ 1). a(x,x \ 1,(y * z) / u) = a(x,x \ 1,u \ ((K(w,v5) * y) * z)). a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,(w * v5) / y). a(x,x \ 1,y \ (z * u)) = a(x,x \ 1,y \ ((K(w,v5) * z) * u)). a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,y \ (w * v5)). a(x,x \ 1,y \ ((K(z,u) * y) * w)) != v5 | a(x,x \ 1,L(w,K(u,z),y)) = v5. a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,w \ (w * y)). a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,y). a(x,x \ 1,y \ 1) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. a(x,y,y \ 1) * (K(z,u) * w) = (a(x,y,y \ 1) * K(z,u)) * w. (a(x,y,y \ 1) * K(z,u)) * w = a(x,y,y \ 1) * (K(z,u) * w). (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,a(y,z,z \ 1),x)). (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) != v5 | K(w,u) = v5. K(x,y) = K(x,L(y,a(z,u,u \ 1),w)). K(x,L(y,a(z,u,u \ 1),w)) = K(x,y). K(x,a(y,z,z \ 1) \ (u \ w)) = K(x,(u * a(y,z,z \ 1)) \ w). K(x,(y * a(z,u,u \ 1)) \ w) = K(x,a(z,u,u \ 1) \ (y \ w)). K(x,L(y,a(z \ 1,z,u),w)) = K(x,y). K(x,L(a(y \ 1,y,z) \ (u / w),a(y \ 1,y,z),w)) != v5 | K(x,u / (T(a(y \ 1,y,z),v6) * w)) = v5. K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,a(z \ 1,z,u) \ (y / v5)). x != K(y,a(z \ 1,z,u) \ w) | K(y,w * a(u,z,z \ 1)) = x. K(x,(y / z) * a(u,w,w \ 1)) = K(x,y / (T(a(w \ 1,w,u),v5) * z)). K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,(y / v5) * a(u,z,z \ 1)). K(x,y / (a(z \ 1,z,u) * w)) = K(x,(y / w) * a(u,z,z \ 1)). K(x,(y \ ((y \ 1) \ z)) / (a(y \ 1,y,z) * u)) != w | K(x,z / u) = w. K(x,y / z) = K(x,((u \ ((u \ 1) \ y)) / z) * a(y,u,u \ 1)). K(x,((y \ ((y \ 1) \ z)) / u) * a(z,y,y \ 1)) = K(x,z / u). a(x \ ((K(y,z) * u) * T(w,u)),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). a(x \ (y * T(z,u)),w,w \ 1) != v5 | a(x \ (y * z),w,w \ 1) = v5. a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). x != a(y \ (z * (u * K(w,v5))),v6,v6 \ 1) | a(y \ (z * u),v6,v6 \ 1) = x. a(x \ (y * z),u,u \ 1) = a(x \ ((K(w,v5) * z) * y),u,u \ 1). a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) != v5 | a(R(z,x,y),w,w \ 1) = v5. a(R(x,y,z),u,u \ 1) = a((y * z) \ (z * (y * x)),u,u \ 1). a((x * y) \ (y * (x * z)),u,u \ 1) = a(R(z,x,y),u,u \ 1). a(L(K(x,y) * z,y,x),u,u \ 1) = a(R(z,y,x),u,u \ 1). a(L(K(x,y) * z,y,x),u,u \ 1) != w | a(L(z,y,x),u,u \ 1) = w. a(L(x,y,z),u,u \ 1) = a(R(x,y,z),u,u \ 1). a(R(x,y,z),u,u \ 1) = a(L(x,y,z),u,u \ 1). a(R(x,y,z),u \ 1,u) = a(L(x,y,z),u \ 1,(u \ 1) \ 1). a(L(x,y,z),u \ 1,(u \ 1) \ 1) = a(R(x,y,z),u \ 1,u). a(L(x,y,z),u \ 1,u) = a(R(x,y,z),u \ 1,u). a(R(x,y,z),u \ 1,u) = a(L(x,y,z),u \ 1,u). a(x \ 1,x,L(y \ 1,z,u)) = a(L(y,z \ 1,u \ 1),x \ 1,x). a(L(x,y \ 1,z \ 1),u \ 1,u) = a(u \ 1,u,L(x \ 1,y,z)). a(x \ 1,x,R(y \ 1,z,u)) = a(x \ 1,x,L(y \ 1,z,u)). a(x \ 1,x,R(y \ 1,z,u)) != w | R((L(((y \ 1) \ 1) \ 1,x,x \ 1) * y) \ 1,z,u) = w. R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,L(x \ 1,z,u)). x != a(y \ 1,y,L(z \ 1,u,w)) | L(a(z,y \ 1,y),u,w) = x. L(a(x,y \ 1,y),z,u) = R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u). R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). R((L(x \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). R((x * L(x \ 1,y,y \ 1)) \ 1,z,u) = L(a(x,y \ 1,y),z,u). R((a(x,y \ 1,y) \ 1) \ 1,z,u) = L(a(x,y \ 1,y),z,u). R(a(x,y \ 1,y),z,u) = L(a(x,y \ 1,y),z,u). R(a(x,y,y \ 1),z,u) = L(a(x,(y \ 1) \ 1,y \ 1),z,u). L(a(x,(y \ 1) \ 1,y \ 1),z,u) = R(a(x,y,y \ 1),z,u). L(a(x,y,y \ 1),z,u) = R(a(x,y,y \ 1),z,u). R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). (x * y) * L(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. L(a(x,y,y \ 1),z,u) * (z * u) = (z * a(x,y,y \ 1)) * u. ((x * (y * a(z,u,u \ 1))) / y) \ ((y * a(z,u,u \ 1)) * x) = T(y,x). x * K(x * a(y,z,z \ 1),u) = T(x,u). T(x,y) \ x = K(y,x * a(z,u,u \ 1)). K(x,y * a(z,u,u \ 1)) = T(y,x) \ y. K(x,y) = K(x,y * a(z,u,u \ 1)). K(x,y * a(z,u,u \ 1)) = K(x,y). K(x,a(y,z,z \ 1) * u) = K(x,u). K(x,((y \ ((y \ 1) \ z)) / u) * a(z,y,y \ 1)) != w | K(x,z / u) = w. K(x,y / z) = K(x,(u \ ((u \ 1) \ y)) / z). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / u). K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) != v5 | K(x,y * (L(z,w,w \ 1) * u)) = v5. K(x,y * (L(z,u,u \ 1) * w)) = K(x,y * (z * w)). K(x,y * a(z \ 1,z,u)) = K(x,y). K(x,y) = K(x,a(z,u,u \ 1) \ y). K(x,a(y,z,z \ 1) \ u) = K(x,u). K(x,a(y,z,z \ 1) \ (u \ w)) != v5 | K(x,(u * a(y,z,z \ 1)) \ w) = v5. K(x,(y * a(z,u,u \ 1)) \ w) = K(x,y \ w). K(x,a(y,z,z \ 1) \ (y \ u)) != w | K(x,L(y,z,z \ 1) \ u) = w. K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). x != K(y,z) | K(y,a(u,w,w \ 1) \ z) = x. K(x,a(y,z,z \ 1) \ u) = K(x,u * a(w \ 1,w,v5)). x != K(y,(z \ u) \ w) | K(y,(u / T(z,u)) \ w) = x. K(x,(y / T(z,y)) \ u) = K(x,L(z \ y,w,w \ 1) \ u). K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z / T(y,z)) \ w). K(x,L(y / z,z,z \ 1) \ u) != w | K(x,(z * (y \ 1)) * u) = w. K(x,(y * (z \ 1)) * u) = K(x,(z / y) \ u). K(x,L(y,z,z \ 1) \ (T(z \ 1,u) * w)) != v5 | K(x,y \ (T(z,u) \ w)) = v5. K(x,y \ (T(z,u) \ w)) = K(x,y \ (T(z \ 1,u) * w)). K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) != w | K(x,y \ (z \ u)) = w. K(x,y \ (z \ u)) = K(x,y \ ((z \ 1) * u)). K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). K(x,(y / z) \ u) * K(x,K(u,z * y)) = K(x,u / L(y / z,w,w \ 1)). K(x,y / L(z / u,w,w \ 1)) = K(x,(z / u) \ y) * K(x,K(y,u * z)). K(x,(y \ ((y \ 1) \ z)) / u) != w | K(x,z / L(u,y,y \ 1)) = w. K(x,y / L(z,u,u \ 1)) = K(x,y / z). K(x,y / L(z,u,u \ 1)) != w | K(x,y / R(z,u,u \ 1)) = w. K(x,y / R(z,u,u \ 1)) = K(x,y / z). K(x,y / (z * (u \ 1))) = K(x,y / (z / u)). K(x,y \ (((z \ 1) \ 1) * u)) != w | K(x,y \ (z * u)) = w. K(x,y \ (z * u)) = K(x,y \ ((z \ 1) \ u)). K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). K(x,((y \ 1) * z) * u) = K(x,(z \ y) \ u). K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) != v5 | a(x,u,K(w,y)) = v5. a(x,y,K(z,u)) = K(x,(((((u \ w) \ w) \ 1) * y) * z) \ (T(u,w) \ (y * z))). K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y,z) \ (u * w))) = a(x,u,K(w,y)). K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5 \ 1,v5,v6)). K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5,v6 \ 1,v6)). K(x,y * (z \ L(z,u \ 1,u))) = K(x,y * a(w,v5 \ 1,v5)). K(x,y * a(z,u \ 1,u)) = K(x,y * (w \ L(w,v5 \ 1,v5))). x != K(y,z * (u \ L(u,w \ 1,w))) | K(y,a(w,w \ 1,u) \ z) = x. K(x,a(y,y \ 1,z) \ u) = K(x,u * a(w,v5 \ 1,v5)). K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) != w | K(x,((z \ 1) / y) * u) = w. K(x,((y \ 1) / z) * u) = K(x,((z * y) \ u) * a(w,v5 \ 1,v5)). K(x,((y * z) \ u) * a(w,v5 \ 1,v5)) = K(x,((z \ 1) / y) * u). K(x,(y * z) \ u) = K(x,((z \ 1) / y) * u). K(x,((y \ 1) / z) * u) = K(x,(z * y) \ u). K(x,((y \ 1) / z) * u) != w | K(x,(z * y) \ u) = w. K(x,(y / z) * u) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). K(x,(y * (z \ 1)) * u) != w | K(x,(z / y) \ u) = w. K(x,(y / z) \ u) = K(x,(z / y) * u). K(x,(y / T(z,y)) \ u) != w | K(x,L(z \ y,v5,v5 \ 1) \ u) = w. K(x,L(y \ z,u,u \ 1) \ w) = K(x,(T(y,z) / z) * w). K(x,y / L(z / u,w,w \ 1)) = K(x,(u / z) * y) * K(x,K(y,u * z)). x != K(y,(T(z,u) / u) * w) | K(y,(u \ z) * w) = x. K(x,(y \ z) * u) = K(x,L(z \ y,w,w \ 1) \ u). K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z \ y) * w). K(x,L(y,z,z \ 1) \ u) != w | K(x,y \ u) = w. K(x,(y \ z) \ u) = K(x,(z \ y) * u). K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). K(x,(y \ z) \ u) != w | K(x,L(z \ (y * u),z,y \ 1)) = w. K(x,L(y \ (z * u),y,z \ 1)) = K(x,(y \ z) * u). K(x,(((y \ 1) * z) * u) \ w) = K(x,(u \ ((z \ 1) * y)) * w). K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y,z) \ (u * w))) != v5 | a(x,u,K(w,y)) = v5. a(x,y,K(z,u)) = K(x,(z \ ((y \ 1) * ((u \ w) \ w))) * (T(u,w) \ (y * z))). K(x,(y \ ((z \ 1) * ((u \ w) \ w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). K(x,(y \ (z * ((u \ w) \ w))) * v5) != v6 | K(x,(y \ (z * T(u,w))) * v5) = v6. K(x,(y \ ((z \ 1) * T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). x != K(y,(z / u) * w) * K(y,K(w,z * u)) | K(y,w * (z / u)) = x. K(x,y * (z / u)) = K(x,y / L(u / z,w,w \ 1)). K(x,y / L(z / u,w,w \ 1)) = K(x,y * (u / z)). K(x,y / L(z,u,u \ 1)) != w | K(x,y / z) = w. K(x,y / (z / u)) = K(x,y * (u / z)). K(x,y / L(z / T(u,z),w,w \ 1)) != v5 | K(x,y / L(u \ z,w,w \ 1)) = v5. K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (T(z,u) / u)). K(x,y / (z / u)) != w | K(x,y / (z * (u \ 1))) = w. K(x,y / (z * (u \ 1))) = K(x,y * (u / z)). K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). x != K(y,z * (T(u,w) / w)) | K(y,z * (w \ u)) = x. K(x,y * (z \ u)) = K(x,y / L(u \ z,w,w \ 1)). K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (u \ z)). K(x,y / (z \ u)) = K(x,y * (u \ z)). K(x,y / (z * u)) = K(x,y * (u \ (z \ 1))). K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). K(x,y * ((z \ K(u,w)) \ (v5 \ 1))) != v6 | K(x,y * ((v5 / z) \ K(w,u))) = v6. K(x,y * ((z / u) \ K(w,v5))) = K(x,y / (z * (u \ K(v5,w)))). K(x,y / (z * (u \ K(w,v5)))) = K(x,y * ((z / u) \ K(v5,w))). K(x,y / (z * (u \ K(w,v5)))) != v6 | K(x,y * (u * (z \ K(v5,w)))) = v6. K(x,y * (z * (u \ K(w,v5)))) = K(x,y * ((u / z) \ K(w,v5))). K(x,y * ((z / u) \ K(w,v5))) = K(x,y * (u * (z \ K(w,v5)))). K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) != v6 | K(x,y / (z / ((u \ 1) * v5))) = v6. K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((T(u \ 1,v5) * w) * (z \ K(u,v5)))). K(x,y * ((T(z \ 1,u) * w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). K(x,y * (z \ u)) * x = T(x,y / (u \ z)). T(x,y * (z \ u)) = T(x,y / (u \ z)). T(x,y / (z \ u)) = T(x,y * (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)) * v5) = K(x,T(y,z * (w \ u)) * v5). K(x,T(y,(z * u) \ (w \ K(v5,v6))) * v7) != v8 | K(x,T(y,w * (z * T(u,v9))) * v7) = v8. K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,(u * w) * (K(v7,v8) \ z)) * v6). K(x,T(y,(z * u) * (K(w,v5) \ v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). K(x,T(y,(z * u) * (K(w,v5) * v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). K(x,T(y,z * (K(u,w) * v5)) * v6) != v7 | K(x,T(y,z * v5) * v6) = v7. K(x,T(y,(z * u) * w) * v5) = K(x,T(y,w * (z * T(u,v6))) * v5). K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,(u * w) * z) * v6). 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,(z \ u) * w) * v5). K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,(w \ z) * u) * v5). K(x,K(y,(z \ u) * w) * v5) = K(x,K(y,(w \ (u \ 1)) * z) * v5). K(x,K(y,(z \ (u \ 1)) * w) * v5) = K(x,K(y,(w \ u) * z) * v5). K(x,K(y,z * (u \ (w \ 1))) * v5) = K(x,K(y,(z \ w) * u) * v5). K(x,K((y / (z \ 1)) * u,(u \ w) * (z \ (y \ 1))) * v5) != v6 | K(x,K(u * (y / (z \ 1)),w) * v5) = v6. K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K((z / (u \ 1)) * y,((y \ w) \ z) * u) * v5). K(x,K((y / (z \ 1)) * u,((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). K(x,K((y / z) * u,w) * v5) != v6 | K(x,K(y * (z \ u),w) * v5) = v6. K(x,K(y * ((z \ 1) \ u),((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(w,(y * z) * u) * v5) = v6. K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K(y * (u / (w \ 1)),z) * v5). K(x * (L(y,z,z \ 1) \ u),L(w,u,L(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) != v5 | K((x * (((z * y) \ 1) * z)) * u,w) = v5. K((x * (((y * z) \ 1) * y)) * u,w) = K((x * (R(z,y,y \ 1) \ 1)) * u,w). K((x * (R(y,z,z \ 1) \ 1)) * u,w) = K((x * (((z * y) \ 1) * z)) * u,w). K((x * (y * ((z * y) \ 1))) * u,w) = K((x * (((y * z) \ 1) * y)) * u,w). K((x * (((y * z) \ 1) * y)) * u,w) = K((x * (y * ((z * y) \ 1))) * u,w). K(((((x * y) \ 1) * x) * z) * u,w) = K((T(z,((x * y) \ 1) * x) * (x * ((y * x) \ 1))) * u,w). K((T(x,((y * z) \ 1) * y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). K((T(x,(y * z) \ y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((((z * y) \ 1) * z) * x) * u,w). K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) != v5 | K(((z * ((y * z) \ 1)) * x) * u,w) = v5. K(((x * ((y * x) \ 1)) * z) * u,w) = K(((((x * y) \ 1) * x) * z) * u,w). K(((((x * y) \ 1) * x) * z) * u,w) = K(((x * ((y * x) \ 1)) * z) * u,w). K((((((x \ 1) * ((x \ 1) \ y)) \ 1) * (x \ 1)) * z) * u,w) = K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w). K((((x \ 1) * (y \ 1)) * z) * u,w) = K((((y \ 1) * ((x * K(x * y,y \ 1)) \ 1)) * z) * u,w). K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((y \ 1) * (x \ 1)) * z) * u,w). K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). K((((x \ 1) * (y \ K(x,y \ (x \ 1)))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). K((((x \ 1) * (x * ((y \ 1) / x))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). K((L((x \ 1) / y,y,y \ 1) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). K((L(x / y,y,y \ 1) * z) * u,w) != v5 | K((T((y \ 1) * x,y) * z) * u,w) = v5. K((T((x \ 1) * (y \ 1),x) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). K((T((x * y) \ 1,y) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). K(x * (T((y * z) \ 1,z) * u),w) = K((((z * y) \ 1) * u) * x,T(w,x)). K((((x * y) \ 1) * z) * u,T(w,u)) = K(u * (T((y * x) \ 1,x) * z),w). K(x * (((y * z) \ 1) * u),w) = K(x * (T((z * y) \ 1,y) * u),w). K(x * (T((y * z) \ 1,z) * u),w) = K(x * (((z * y) \ 1) * u),w). K(x * (T((y * z) \ 1,z) * u),w) != v5 | K(x * (T((y * z) \ 1,y) * u),w) = v5. K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((z * y) \ 1) * u),w). K(x * (T(((y * z) * ((y * z) \ z)) \ 1,y * z) * u),w) = K(x * (((z * K(y,z \ (y \ 1))) \ 1) * u),w). K(x * (T(y \ 1,z * y) * u),w) = K(x * (((y * K(z,y \ (z \ 1))) \ 1) * u),w). K(x * (((y * K(z,y \ (z \ 1))) \ 1) * u),w) = K(x * (T(y \ 1,z * y) * u),w). K(x * ((K(y \ (z \ 1),z) / y) * u),w) = K(x * (T(y \ 1,z * y) * u),w). K(x * ((K(y * z,y \ 1) / z) * u),w) = K(x * (T(z \ 1,y * z) * u),w). K(x * ((y \ K(y * z,z \ 1)) * u),w) = K(x * (T(y \ 1,z * y) * u),w). K(x * (((y \ (z \ 1)) * y) * u),w) = K(x * (T(z \ 1,y * z) * u),w). K(x * (T(y \ 1,z * y) * u),w) = K(x * (((z \ (y \ 1)) * z) * u),w). K(x * (T(y \ 1,z) * u),w) = K(x * (T(y \ 1,z * y) * u),w). K(x * (T(y \ 1,z * y) * u),w) = K(x * (T(y \ 1,z) * u),w). K(x * (T(y,z * (y \ 1)) * u),w) = K(x * (T((y \ 1) \ 1,z) * u),w). K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,z * (y \ 1)) * u),w). x != K(y * (T(z,u * (w \ 1)) * v5),v6) | K(y * (T(z,w \ u) * v5),v6) = x. K(x * (T(y,y \ z) * u),w) = K(x * (T((y \ 1) \ 1,z) * u),w). K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,y \ z) * u),w). K(x * (T(y,z) * u),w) = K(x * (T(y,y \ z) * u),w). K(x * (T(y,y \ z) * u),w) = K(x * (T(y,z) * u),w). K(x * (T(y,y \ z) * u),w) != v5 | K(x * (((y \ z) \ z) * u),w) = v5. K(x * (((y \ z) \ z) * u),w) = K(x * (T(y,z) * u),w). K(x * (T(y \ z,y) * u),w) = K(x * (T(y \ z,z) * u),w). K(x * (T(y \ z,z) * u),w) = K(x * (T(y \ z,y) * u),w). K(x * (y * ((z \ u) \ u)),w) = K(x * (T(z,u) * T(y,(z \ u) \ u)),w). K(x * (T(y,z) * T(u,(y \ z) \ z)),w) = K(x * (u * ((y \ z) \ z)),w). (x * K(y * (T(z,u) * w),v5)) \ x = K(v5,y * (((z \ u) \ u) * w)). K(x,y * (((z \ u) \ u) * w)) = (v5 * K(y * (T(z,u) * w),x)) \ v5. K(x,y * (T(z,u) * w)) = K(x,y * (((z \ u) \ u) * w)). K(x,y * (((z \ u) \ u) * w)) = K(x,y * (T(z,u) * w)). x != K(y,z * (T(u,w) * K(v5,v6))) | K(y,z * T(u * K(v5,v6),w)) = x. K(x,y * T(z * K(u,w),v5)) = K(x,y * (((z \ v5) \ v5) * K(u,w))). K(x,y * (((z \ u) \ u) * K(w,v5))) = K(x,y * T(z * K(w,v5),u)). K(x,y * ((z \ u) * w)) = K(x,y * (T(u / z,u) * w)). K(x,y * (T(z / u,z) * w)) = K(x,y * ((u \ z) * w)). K(x,y * (T(L(z,u \ 1,u) / T(u,w),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). K(x,y * (T(L(z / T(u,w),u,u \ 1),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). K(x,y * (T(L(z / T(u,w),u,u \ 1),z) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). x != K(y,z * (((T(u,w) \ 1) * v5) * v6)) | K(y,z * ((T(u \ 1,w) * v5) * v6)) = x. K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * (L(T(w / T(z,u),w),z,z \ 1) * v5)). K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). K(x,y * (L(z,u,u \ 1) * w)) != v5 | K(x,y * (z * w)) = v5. K(x,y * (T(z / T(u,w),z) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). K(x,y * (T(z / u,z) * w)) != v5 | K(x,y * ((u \ z) * w)) = v5. K(x,y * ((T(z,u) \ w) * v5)) = K(x,y * ((T(z \ 1,u) * w) * v5)). K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). K(x,y * ((T(z \ 1,u) * w) * (v5 \ K(z,u)))) != v6 | K(x,y / (v5 / ((z \ 1) * w))) = v6. K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((T(u,v5) \ w) * (z \ K(u,v5)))). K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). x != K(y * (T(z \ u,z) * w),v5) | K(y * ((u / z) * w),v5) = x. K(x * ((y / z) * u),w) = K(x * (T(z \ y,y) * u),w). K(x * (T(y \ z,z) * u),w) = K(x * ((z / y) * u),w). K(x * (T(y \ z,z) * u),w) != v5 | K(x * ((T(y,z \ 1) \ z) * u),w) = v5. K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * ((z / y) * u),w). K(x * ((y \ T(z,y \ 1)) * u),w) = K(x * ((z / y) * u),w). K(x * ((y \ ((y \ 1) \ z)) * u),w) = K(x * (((z / (y \ 1)) / y) * u),w). K(x * (((y / (z \ 1)) / z) * u),w) = K(x * ((z \ ((z \ 1) \ y)) * u),w). K(x * (y \ K(z * ((u \ ((u \ 1) \ w)) * v5),z)),v6) = K(x * (y \ K(w * L(v5,u \ 1,u),z)),v6). K(x * (y \ K(z * u,z)),w) != v5 | K(x * (y \ K(u,z)),w) = v5. K(x * (y \ K((z \ ((z \ 1) \ u)) * w,v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). K(x * (y \ K((z \ u) * w,v5)),v6) != v7 | K(x * (y \ K(u * (z \ w),v5)),v6) = v7. K(x * (y \ K(((z \ 1) \ u) * (z \ w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). K(x * (y \ K((z * u) * ((z \ 1) * w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) != v7 | K(x * (y \ K(v5,z * (u \ w))),v6) = v7. K(x * (y \ K(z,(u * w) * (u \ v5))),v6) = K(x * (y \ K(w * L(v5,u \ 1,u),z)),v6). K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,(w * z) * (w \ u))),v6). x != K(y * (z \ K(u,(w * v5) * v6)),v7) | K(y * (z \ K(u,w * (v6 * v5))),v7) = x. K(x * (y \ K(z,u * ((u \ w) * v5))),v6) = K(x * (y \ K(v5 * L(w,u \ 1,u),z)),v6). K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,w * ((w \ u) * z))),v6). x != K(y * (z \ K(u,w * ((w \ v5) * v6))),v7) | K(y * (z \ K(u,v5 * v6)),v7) = x. K(x * (y \ K(z,u * w)),v5) = K(x * (y \ K(w * L(u,v6 \ 1,v6),z)),v5). K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,u * z)),v6). K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) != v7 | K(x * (y \ K(v5,z \ u)),v6) = v7. K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). K(x \ K(y,z \ u),w) = K(a(v5,v6,v5) * (x \ K(y,u * z)),w). K(a(x,y,x) * (z \ K(u,w * v5)),v6) = K(z \ K(u,v5 \ w),v6). K(x \ K(y,z * u),w) = K(x \ K(y,u \ z),w). K(x \ K(y,z \ u),w) = K(x \ K(y,u * z),w). K(x \ K(y,z \ (u * w)),v5) != v6 | K(x \ K(y,u * (z \ w)),v5) = v6. K(x \ K(y,z * (u \ w)),v5) = K(x \ K(y,(z * w) * u),v5). K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w \ u)),v5). K(x \ K(y,(z * u) * w),v5) != v6 | K(x \ K(y,z * (w * u)),v5) = v6. 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,z * (u * w)),v5). K(x,(((y \ 1) * z) * u) \ 1) = K(x \ K(y,z * (y * u)),((y \ 1) * z) * u). K(x \ K(y,z * (y * u)),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). K(x \ K(y,z * (y \ u)),(y \ z) * u) != w | K(x,((y \ z) * u) \ 1) = w. K(x,((y \ z) * u) \ 1) = K(x \ K(y,z * (y * u)),(y \ z) * u). K(x \ K(y,z * (y * u)),(y \ z) * u) = K(x,((y \ z) * u) \ 1). K(x \ K(y,z * u),(y \ z) * u) = K(x,((y \ z) * u) \ 1). K(x,y \ ((z \ u) \ 1)) = K(x \ K(z,u * y),(z \ u) * y). K(x \ K(y,z * u),(y \ z) * u) = K(x,u \ ((y \ z) \ 1)). K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(u \ 1) * ((z \ 1) * y)). K(x,y \ ((z \ 1) * u)) = K(x \ K(u,z * y),((u \ 1) * z) * y). K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,u \ ((z \ 1) * y)). K(x,((y \ 1) * z) * u) != w | K(x,(z \ y) \ u) = w. K(x \ K(y,z * u),(z \ y) \ u) = K(x,u \ ((z \ 1) * y)). K(x,(y \ z) \ u) != w | K(x,(z \ y) * u) = w. K(x \ K(y,z * u),(y \ z) * u) = K(x,u \ ((z \ 1) * y)). K(x \ K(y,z * u),(y \ z) * u) != w | K(x,u \ ((y \ z) \ 1)) = w. K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). x != K(y,z \ ((u \ 1) * w)) | K(y,z \ (u \ w)) = x. K(x,y \ (z \ u)) = K(x,y \ ((u \ z) \ 1)). K(x,y \ ((z \ u) \ 1)) = K(x,y \ (u \ z)). K(x,((y \ z) \ u) \ (((y * u) \ z) \ 1)) != w | K(x,((y * u) \ z) \ (((y \ z) \ u) \ 1)) = w. K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,((y \ u) \ z) \ (u \ (y * z))). x != K(y,(z \ u) \ w) | K(y,(u \ z) * w) = x. K(x,(y \ (z \ u)) * (u \ (z * y))) = K(x,((z * y) \ u) \ (((z \ u) \ y) \ 1)). K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,(z \ (y \ u)) * (u \ (y * z))). K(x,y \ ((z \ u) \ 1)) != w | K(x,y \ (u \ z)) = w. K(x,((y * z) \ u) \ (z \ (y \ u))) = K(x,(z \ (y \ u)) * (u \ (y * z))). a(x,y,K(z,y \ u)) = K(z,(y \ (x \ u)) * (u \ (x * y))). K(x,(y \ (z \ u)) * (u \ (z * y))) = a(z,y,K(x,y \ u)). K(x * (T(y,z) * T(u,T(y,z))),w) = K(x * (u * ((y \ z) \ z)),w). K(x * (y * T(z,u)),w) = K(x * (y * ((z \ u) \ u)),w). K(x * (y * ((z \ u) \ u)),w) = K(x * (y * T(z,u)),w). K(x * (y * (z \ (x \ 1))),u) != w | K((((x \ 1) / z) * T(y,z)) * x,u) = w. K((((x \ 1) / (y \ (x \ 1))) * T(z,y \ (x \ 1))) * x,u) = K(x * (z * T(y,x \ 1)),u). K(x * (y * T(z,z \ u)),w) = K(x * (y * T(z,u)),w). K((x * T(y,x \ (z \ 1))) * z,u) = K(z * (y * T(x,z \ 1)),u). K((x * T(y,z \ (u \ 1))) * w,v5) != v6 | K((x * T(y,u * z)) * w,v5) = v6. K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z \ 1)),u). x != K(y * (z * T(u,w \ 1)),v5) | K(y * (z * T(u,w)),v5) = x. K(x * (y * T(z,x)),u) = K((z * T(y,x * z)) * x,u). K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z)),u). K(x,K(y,z * u)) * K(y * (u * T(z,y)),x) = K(L(u,z,y) * (y * z),x). K(x,K(y,z * u)) * K(y * (u * T(z,w)),x) != v5 | K((u * T(z,w)) * y,x) = v5. K((x * T(y,z)) * z,u) = K(L(x,y,z) * (z * y),u). K(L(x,y,z) * (z * y),u) = K((x * T(y,z)) * z,u). K(x,K((y * T(z,u)) * u,w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K(z * (y * x),u). K(x,K(T(y,z) * (z * u),w * v5)) = K(x,K(y * (u * L(z,v6 \ 1,v6)),w * v5)). K(x,K(y * (z * u),w * v5)) = K(x,K(y * (u * L(z,v6 \ 1,v6)),w * v5)). K(x,K(y * (z * L(u,w \ 1,w)),v5 * v6)) = K(x,K(y * (u * z),v5 * v6)). K(x,K(y * ((z * u) * w),v5 * v6)) != v7 | K(x,K(v5 * v6,z * ((w * y) * u))) = v7. K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (u * v7)),y * z)). K(x,K(y * ((z \ u) * w),v5 * v6)) != v7 | K(x,K(v6 * v5,u * (z \ (w * y)))) = v7. K(x,K(y * z,u * (w \ (L(v5,v6 \ 1,v6) * v7)))) = K(x,K(v7 * (v5 * (w \ u)),z * y)). K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (v7 \ u)),z * y)). K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) != v8 | K(x,K(v6 * (w * (u * v7)),y * z)) = v8. K(x,K(y * (z * (u * w)),v5 * v6)) = K(x,K(y * (z * (w \ u)),v6 * v5)). K(x,K(y * (z * (u \ w)),v5 * v6)) = K(x,K(y * (z * (w * u)),v6 * v5)). K(x,K(y * (z * (u \ w)),v5 * ((z * (w \ u)) * y))) != v6 | K(x,K(v5,y * (z * (u \ w)))) = v6. K(x,K(y,z * (u * (w \ v5)))) = K(x,K(z * (u * (v5 * w)),((u * (v5 \ w)) * z) * y)). K(x,K(y * (z * (u * w)),((z * (u \ w)) * y) * v5)) = K(x,K(v5,y * (z * (w \ u)))). K(x,K(y * (z * (u * w)),(z * (u \ w)) * (y * v5))) = K(x,K(v5,y * (z * (w \ u)))). K(x,K(y * (z * (u * w)),z * ((u \ w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). K(x,K(y,z * ((u \ w) * v5))) != v6 | K(x,K(y,z * ((u * w) * v5))) = v6. K(x,K(y * (z * (u * w)),z * ((u * w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). K(x,K(y * (z * u),z * (u * (y * w)))) != v5 | K(x,K(w,y * (z * u))) = v5. 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 \ v5)))) != v6 | K(x,K(y,L(z,u,v5) * ((u * v5) * w))) = v6. K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). K(x,y * ((z \ u) \ T(u,w))) = K(x,y * T(z * K(u,w),u)). K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) != w | K((z * y) * R(x,y,z),u) = w. K((x * y) * R(z,y,x),u) = K(x * (y * z),u). K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) != w | K(x * T(z / x,y),u) = w. K(x * T(y / x,z),u) = K(((x * z) \ y) * (z * x),u). K(((x * y) \ z) * (y * x),u) = K(x * T(z / x,y),u). K(((x * y) \ z) * (y * x),u) != w | K(K(y,x) * z,T(u,y * x)) = w. K(K(x,y) * z,T(u,x * y)) = K(y * T(z / y,x),u). K(K(x,y) * (z * K(x,y)),T(u,x * y)) != w | K(z,L(T(u,K(y,x) * (((v5 \ x) * v5) * y)),K(y,x),((v5 \ x) * v5) * y)) = w. K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T((x * K(u,z)) / z,u),y). K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). K(x,L(T(y,K(z \ u,z) * (w * u)),K(w,u),((z \ u) * z) * w)) = K(w * T(x / T(w,u),u),y). K(x,L(T(y,K(z,u) * (w * z)),K(w,z),((u \ z) * u) * w)) = K(w * T(x / T(w,z),z),y). K(x,L(T(y,z * T(u,w)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). K(x,T(y,z * T(u,w))) = K(z * T(x / T(z,u),u),y). K(x * T(y / T(x,z),z),u) = K(y,T(u,x * T(z,w))). x != K(y,T(z,u * T(w,v5))) | K(y,T(z,u * w)) = x. K(x,T(y,z * u)) = K(z * T(x / T(z,u),u),y). K(x * T(y / T(x,z),z),u) = K(y,T(u,x * z)). (x \ K(y * T(z / T(y,u),u),w)) \ (x \ 1) = K(w,T(z,u \ y)). (x \ K(T(y,z) * T(u / y,z),w)) \ (x \ 1) = K(w,T(u,z \ y)). K(x,T(y,z) * T(u / y,z)) = K(x,T(u,z \ y)). K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),(y * z) * w)) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). K(x,(K(y,K(z,u)) * (T(w,K(y,z)) * v5)) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). K(x,K(y,K(z,u)) * ((T(w,K(y,z)) * v5) / (K(y,T(z,u)) * v5))) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). K(x,(T(y,K(z,u)) * w) / (K(z,u) * w)) = K(x,L(T(y * K(u,z),K(z,T(u,v5))),K(z,T(u,v5)),w)). K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) / (K(u,z) * v5)). x != K(y,z / (K(u,w) * v5)) | K(y,z * (v5 \ K(w,u))) = x. K(x,(T(y,K(z,u)) * w) * (w \ K(u,z))) = K(x,L(T(y * K(u,z),K(z,T(u,v5))),K(z,T(u,v5)),w)). K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) * (v5 \ K(z,u))). K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,T((y * v5) * (v5 \ K(z,u)),K(u,z))). K(x,T((y * z) * (z \ K(u,w)),K(w,u))) = K(x,L(T(y * K(u,w),K(w,T(u,v5))),K(w,T(u,v5)),z)). K(x,(y * z) * (z \ K(u,w))) = K(x,L(T(y * K(u,w),K(w,T(u,v5))),K(w,T(u,v5)),z)). K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). K(x,L(T(y * K(z,u),K(u,z)),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). K(x,L(K(y,z) * u,K(z,T(y,w)),v5)) = K(x,(u * v5) * (v5 \ K(y,z))). K(x,K(y,z) * u) = K(x,(u * w) * (w \ K(y,z))). K(x,(y * z) * (z \ K(u,w))) = K(x,K(u,w) * y). K(x,y * ((z \ y) \ K(u,w))) = K(x,K(u,w) * z). x != K(y,L(z,u,(w * y) \ v5)) | K(y,L(z,u,y \ (w \ v5))) = x. K(x,L(y,z,x \ (z \ (u \ 1)))) = K(u * (((u \ 1) / (z * x)) * z),y \ 1). K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,z \ (y \ (x \ 1)))). K(x * (y * T(z * K(u,w),(z * K(u,w)) \ u)),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). K(x * (y * T(z * K(u,w),K(w,u) * (z \ u))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). K(x * (y * T(z * K(u,w),z \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). T(x,K(y,z) * (u \ z)) != w | T(x,u \ T(z,y)) = w. T(x * K(y,z),x \ T(y,z)) = ((x * K(y,z)) \ y) \ y. T(x * K(y,z),x \ T(y,z)) = (K(z,y) * (x \ y)) \ y. x != (K(y,z) * u) \ z | u \ T(z,y) = x. (x \ y) \ T(y,z) = T(x * K(y,z),x \ T(y,z)). T(x * K(y,z),x \ T(y,z)) = (x \ y) \ T(y,z). K(x * (y * ((z \ u) \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). K(x * (y * ((z \ u) \ T(u,w))),v5) = K(x * (y * T(z * K(u,w),u)),v5). K(x,K(y * (z * ((u \ w) \ T(w,v5))),(y * (z * ((u \ w) \ T(w,v5)))) \ v6) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). K(x,K(y * (z * ((u \ w) \ T(w,v5))),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). K(x,K(y * (z * T(u * K(w,v5),w)),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). K(x \ K(y * ((z * u) \ K(w,v5)),v6),y * ((z * u) \ K(w,v5))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). K(x,(y * ((z * u) \ K(w,v5))) \ 1) = K(x,(y / (z * (K(v5,w) * u))) \ 1). K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(y * ((z * v5) \ K(w,u))) \ 1). K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) * (y \ 1)). K(x,(K(y,z) * (u * w)) / v5) = K(x,(v5 / (u * (K(y,z) * w))) \ 1). K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) / y). K(x,(y * z) * (u \ K(w,v5))) = K(x,(u / (y * (K(w,v5) * z))) \ 1). K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(z * v5) * (y \ K(u,w))). K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * w) * (v5 \ K(z,u))). x * K(y,L(z,u,(u * z) \ x)) != w | (x / (u * T(z,y))) * (u * z) = w. (x / (y * T(z,u))) * (y * z) = x * K(u,((x / (y * z)) * y) \ x). K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / (z * T(x,y))) * (z * x)) \ u. K(x,L(y,z,(u * T(w,v5)) \ v6)) != v7 | K(x,L(y,z,(u * w) \ v6)) = v7. K(x,L(y,z,(z * x) \ u)) = ((u / (z * T(x,y))) * (z * x)) \ u. ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,(y * z) \ x)). K(x,L(y,z,x \ (z \ u))) = ((u / (z * T(x,y))) * (z * x)) \ u. ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,z \ (y \ x))). K(x,L(T(y,z),u,y \ (u \ w))) * z = z * K(x,((w / (u * y)) * u) \ w). x * K(y,L(z,u,z \ (u \ w))) = x * K(y,((w / (u * z)) * u) \ w). x * K(y,L(z,u,u \ w)) = x * K(y,((w / (u * z)) * u) \ w). x * K(y,((z / (u * w)) * u) \ z) = x * K(y,L(w,u,u \ z)). x * K(y,((x / (z * u)) * z) \ x) != w | (x / (z * T(u,y))) * (z * u) = w. (x / (y * T(z,u))) * (y * z) = x * K(u,L(z,y,y \ x)). x != y * K(z,L(u,w,w \ y)) | (y / w) * (w * K(z,u)) = x. (x / y) * (y * K(z,u)) = (x / (y * T(u,z))) * (y * u). (x / (y * T(z,u))) * (y * z) = (x / y) * (y * K(u,z)). ((x / y) * (y * K(z,u))) \ x = K(u,L(z,y,u \ (y \ x))). K(x,L(y,z,x \ (z \ u))) = ((u / z) * (z * K(y,x))) \ u. x != ((y / z) * (z * K(u,w))) \ y | K(w,L(u,z,z \ y)) = x. K(x,L(y,z,z \ u)) = K(x,L(y,z,x \ (z \ u))). K(x,L(y,z,x \ (z \ u))) = K(x,L(y,z,z \ u)). K(x,L(y,z,x \ (z \ (u \ 1)))) != w | K(u * (((u \ 1) / (z * x)) * z),y \ 1) = w. K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,y \ (x \ 1))). x != K(y \ z,L(T(u,w * y),y,w)) | K((w * z) / (w * y),u) = x. K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / (x * (x \ z))) * x),T(u,(x \ (y \ 1)) * x) \ 1). K(x * (((x \ 1) / (y * (y \ z))) * y),T(u,(y \ (x \ 1)) * y) \ 1) = K(((y \ (x \ 1)) * z) / ((y \ (x \ 1)) * y),u). K(x * (((x \ 1) / y) * z),T(u,(z \ (x \ 1)) * z) \ 1) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(x * (((x \ 1) / y) * z),T(u,T(x \ 1,z)) \ 1) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u,T(y \ 1,x)) \ 1). K(x * (((x \ 1) / y) * z),T(u \ 1,T(x \ 1,z))) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,T(y \ 1,x))). x != K(y,T(z,T(u,w))) | K(y,T(z,u)) = x. K(x * (((x \ 1) / y) * z),T(u \ 1,x \ 1)) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y \ 1)). K(x * (((x \ 1) / y) * z),T(u \ 1,x)) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y)). K((((x \ 1) / y) * z) * x,u \ 1) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K((((y \ 1) / z) * x) * y,u \ 1). K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. K(((x \ (y \ 1)) * z) / T(y \ 1,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). K(x / T(y \ 1,z),u) != w | K(x * T(y,z),u) = w. K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) != v5 | K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z) = v5. K(((((T(x,y) \ 1) / z) * u) / (x \ 1)) * K(x,y),w) = K(z \ u,L(T(w,T(x \ 1,y)),z,z \ (x \ 1))). K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). K(x \ y,L(T(z,u \ 1),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). K(x,L(T(y,z \ 1),u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). K((((x \ 1) / y) * z) * x,u) = K(((((T(x,w) \ 1) / y) * z) / (x \ 1)) * K(x,w),u). K(((((T(x,y) \ 1) / z) * u) / (x \ 1)) * K(x,y),w) = K((((x \ 1) / z) * u) * x,w). K((x / (y \ z)) * K(y,u),w) != v5 | K(x / (T(y,u) \ z),w) = v5. K((((T(x,y) \ 1) / z) * u) / (T(x,y) \ 1),w) = K((((x \ 1) / z) * u) * x,w). K((((T(x,y) \ 1) / z) * u) * T(x,y),w) = K((((x \ 1) / z) * u) * x,w). K(x,L(y,z,u \ (K(w,v5) * (w \ K(v6,v7))))) = K(x,L(y,z,u \ (((v5 * w) / v5) \ K(v8,v9)))). K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,u \ (K(v5,w) * (v5 \ K(v8,v9))))). x != K(y,L(z,u,w \ (K(v5,v6) * v7))) | K(y,L(z,u,v7 * (w \ K(v5,v6)))) = x. K(x,L(y,z,(u \ K(w,v5)) * (v6 \ K(u,v7)))) = K(x,L(y,z,v6 \ (((v7 * u) / v7) \ K(v8,v9)))). K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,(v5 \ K(v8,v9)) * (u \ K(v5,w)))). x != K(y,L(z,u,(w \ K(v5,v6)) * v7)) | K(y,L(z,u,K(v6,v5) * (w \ v7))) = x. K(x,L(y,z,K(u,w) * (v5 \ (v6 \ K(v5,v7))))) = K(x,L(y,z,v6 \ (((v7 * v5) / v7) \ K(v8,v9)))). K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,K(v8,v9) * (v5 \ (u \ K(v5,w))))). K(x,L(y,z,u \ (w \ K(v5,v6)))) != v7 | K(x,L(y,z,u \ (w \ 1))) = v7. K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,K(v6,v7) * (v5 \ (u \ K(v5,w))))). K(x,L(y,z,u \ (((w * v5) / w) \ 1))) != v6 | K(x,L(y,z,u \ (T(v5,w) \ 1))) = v6. K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,K(v6,v7) * (w \ (u \ K(w,v5))))). K(x,L(y,z,K(u,w) * (v5 \ (v6 \ K(v5,v7))))) = K(x,L(y,z,v6 \ (T(v5,v7) \ 1))). K(x,L(y,z,K(u,w) * v5)) != v6 | K(x,L(y,z,v5)) = v6. K(x,L(y,z,u \ (w \ K(u,v5)))) = K(x,L(y,z,w \ (T(u,v5) \ 1))). K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ K(w,v5)))). x != K(y,L(z,u,w \ (v5 \ K(v6,v7)))) | K(y,L(z,u,w \ (v5 \ 1))) = x. K(x,L(y,z,u \ (w \ 1))) = K(x,L(y,z,w \ (T(u,v5) \ 1))). K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ 1))). K((((T(x,y) \ 1) / z) * u) * T(x,y),w) = K(z \ u,L(T(w,x),z,x \ (z \ 1))). K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((T(u,w) \ 1) / x) * y) * T(u,w),z). x != K((((T(y,z) \ 1) / u) * w) * T(y,z),v5) | K((((y \ 1) / u) * w) * y,v5) = x. K((((x \ 1) / y) * z) * x,u) = K(y \ z,L(T(u,x),y,x \ (y \ 1))). K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((u \ 1) / x) * y) * u,z). K((a(x,y,x) \ z) \ u,L(T(w,v5),a(x,y,x) \ z,v5 \ ((a(x,y,x) \ z) \ 1))) = K(((((v5 \ 1) / z) * a(x,y,x)) * u) * v5,w). K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ ((a(z,u,z) \ x) \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). K(x,L(y,z,u \ (w \ a(v5,v6,v5)))) != v7 | K(x,L(y,z,u \ (w \ 1))) = v7. K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K(((((u \ 1) / x) * a(w,v5,w)) * y) * u,z). K(x \ y,L(T(z,u),x,u \ (x \ 1))) != w | K((((u \ 1) / x) * y) * u,z) = w. K((((x \ 1) / y) * z) * x,u) = K(((((x \ 1) / y) * a(w,v5,w)) * z) * x,u). K(((((x \ 1) / y) * a(z,u,z)) * w) * x,v5) = K((((x \ 1) / y) * w) * x,v5). K((((x \ a(y,z,y)) / u) * w) * x,v5) = K((((x \ 1) / u) * w) * x,v5). K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ a(z,u,z))) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ 1)) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * u) * (w * K(z,y)),v5) = v6. K(((x \ (y \ a(z,u,z))) * w) * (y * K(x \ (y \ 1),x)),v5) = K((((y \ 1) / x) * w) * y,v5). K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x \ 1)),v5) = K((((y \ 1) / x) * w) * y,v5). K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x)),v5) = K((((y \ 1) / x) * w) * y,v5). K(((x \ (y \ a(z,u,z))) * w) * (y * K(x * y,x)),v5) = K((((y \ 1) / x) * w) * y,v5). K(x * (y * K(z * u,z)),w) != v5 | K(K(u,z) * (x * y),w) = v5. K(K(x,y) * (((y \ (x \ a(z,u,z))) * w) * x),v5) = K((((x \ 1) / y) * w) * x,v5). K(((x \ (y \ a(z,u,z))) * w) * T(y,x),v5) = K((((y \ 1) / x) * w) * y,v5). K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / x) * z) * y,u). K(((x \ (y \ 1)) * z) * T(y,x),u) != w | K((((y \ 1) / z) * x) * y,u \ 1) = w. K((((x \ 1) / y) * z) * x,u \ 1) = K((((x \ 1) / z) * y) * x,u). K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / z) * y),u \ 1). K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) != w | K(x * (((x \ 1) / y) * z),u) = w. K(x * (((x \ 1) / y) * z),u) = K(x * (((x \ 1) / z) * y),u \ 1). K(x * (((x \ 1) / y) * z),u \ 1) = K(x * (((x \ 1) / z) * y),u). (x * K(y * (((y \ 1) / z) * u),w)) \ x = K(w \ 1,y * (((y \ 1) / u) * z)). K(x,y * (((y \ 1) / z) * u)) = K(x \ 1,y * (((y \ 1) / u) * z)). K(x \ 1,y * (((y \ 1) / z) * u)) = K(x,y * (((y \ 1) / u) * z)). K(x,(y * (((y \ 1) / z) * u)) \ 1) = K(x,y * (((y \ 1) / u) * z)). K(x,(((y \ 1) / z) * u) \ (y \ 1)) = K(x,y * (((y \ 1) / u) * z)). K(x,y * (((y \ 1) / z) * u)) * K(x,K(y,z \ u)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). K(x,y * (((y \ 1) / z) * u)) * K(x,K(w,z \ u)) != v5 | K(x,T(y * (((y \ 1) / z) * u),w)) = v5. K(x,T(y * (((y \ 1) / z) * u),y)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). K(x,(((y \ 1) / z) * u) * y) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). K(x,y \ ((z \ 1) * ((u \ 1) \ y))) = K(x,(((y \ 1) / z) * u) * y). K(x,y * ((z \ 1) * ((u \ 1) \ (y \ 1)))) = K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)). K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((u \ 1) \ (y \ 1)))). K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((y / u) \ 1))). K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * (((y / u) * z) \ 1)). K(x,y / ((y / z) * u)) = K(x,((((y \ 1) \ 1) / u) * z) * (y \ 1)). K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). K(x,((y / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). K(x,((y / z) * T(u,z)) / y) != w | K(x,y \ (u * (z \ y))) = w. K(x,y \ (z * (u \ y))) = K(x,y / ((y / T(z,u)) * u)). K(x,y / ((y / T(z,u)) * u)) = K(x,y \ (z * (u \ y))). K(x,y / ((y / T(z,u)) * u)) != w | K(x,(u * (z \ y)) \ y) = w. K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). K(x,y \ (z * (u \ y))) * K(x,K(y,u * (z \ y))) = K(x,y / (u * (z \ y))). K(x,y \ (z * (u \ y))) * K(x,K(y,u \ z)) = K(x,y / (u * (z \ y))). K(x,y \ (z * (u \ y))) * K(x,K(w,u \ z)) != v5 | K(x,T(y \ (z * (u \ y)),w)) = v5. K(x,T(y \ (z * (u \ y)),y)) = K(x,y / (u * (z \ y))). K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). x != K(y,z / (R(u \ 1,u,z) * w)) | K(y,z / (u \ w)) = x. K(x,y / (z \ (u \ y))) = K(x,(u * (R(z \ 1,z,y) \ y)) / y). K(x,(y * (R(z \ 1,z,u) \ u)) / u) = K(x,u / (z \ (y \ u))). K(x,(y * (z * u)) / u) = K(x,u / (z \ (y \ u))). K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) != w | K(x,(y \ (u * z)) / z) = w. K(x,(y \ (z * u)) / u) = K(x,u / (z \ (R(y \ 1,y,T(u,z)) \ u))). K(x,y / (z \ (R(u \ 1,u,T(y,z)) \ y))) = K(x,(u \ (z * y)) / y). K(x,(y * (z * K(u,w))) * K(w,u)) = K(x,K(u,w) / (z \ (y \ K(u,w)))). K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,(w * (u * K(y,z))) * K(z,y)). K(x,(y * (T(z,u) * T(u,w))) / (T(u,w) * K(z,u))) = K(x,(T(u,w) * K(z,u)) / (z \ (y \ (T(u,w) * K(z,u))))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y))). K(x,(y * ((z * u) * K(w,v5 / (u * z)))) / (z * u)) = K(x,(z * u) / (K(w,(u * z) \ v5) \ (y \ (z * u)))). K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,y \ (u * (z * y))). K(x,K(y,z * u)) * K(y,x / (z \ (u \ x))) = K(y,x \ (u * (z * x))). x != K(y,(z * u) * K(w,v5)) | K(y,z * (K(w,v5) * u)) = x. K(x,y * (K(z,u) * (w * K(u,z)))) = K(x,K(u,z) / (w \ (y \ K(u,z)))). K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * (K(z,y) * (u * K(y,z)))). K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * T(u,K(z,y))). x != K(y,z * T(u,K(w,v5))) | K(y,z * u) = x. K(x,y * z) = K(x,K(u,w) / (z \ (y \ K(u,w)))). K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * u). K(x,(y \ (z \ K(u,w))) \ K(u,w)) = K(x,z * y). K(x,((y * (z \ 1)) \ u) \ K(w,v5)) != v6 | K(x,u \ (y * (z \ K(w,v5)))) = v6. K(x,(y \ K(z,u)) \ (w * (v5 \ K(z,u)))) = K(x,y * (w * (v5 \ 1))). K(x,K(y,z) * (u * (w * (v5 \ K(y,z))))) = K(x,u * (w * (v5 \ 1))). K(x,K(y,z) * (u * ((y \ w) * v5))) != v6 | K(x,u * ((T(y,z) \ w) * v5)) = v6. K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y * ((z \ w) * (v5 \ 1))). K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) != v6 | K(x,y / (v5 / ((z \ 1) * w))) = v6. K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) * (z \ 1))). x != K(y,z * (u * (w \ 1))) | K(y,z * (u / w)) = x. K(x,y * ((z \ u) / w)) = K(x,y / (w / ((z \ 1) * u))). K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) / z)). K(x,y / (T(z,u * w) / ((u \ 1) * w))) != v5 | K(x,y / (((u \ 1) * w) \ z)) = v5. K(x,y / (((z \ 1) * u) \ w)) = K(x,y * ((z \ u) / T(w,z * u))). K(x,y * ((z \ u) / T(w,z * u))) = K(x,y / (((z \ 1) * u) \ w)). K(x,y * ((z \ u) / T(w,z * u))) != v5 | K(x,y * (w \ (z \ u))) = v5. K(x,y * (z \ (u \ w))) = K(x,y / (((u \ 1) * w) \ z)). K(x,y / (((z \ 1) * u) \ w)) = K(x,y * (w \ (z \ u))). K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) != w | K(x,(z \ (u \ y)) \ y) = w. K(x,(y \ (z \ u)) \ u) = K(x,u \ (z * (y * u))). K(x,y \ (z * ((u \ 1) * y))) != w | K(x,(((z \ y) \ 1) / u) * y) = w. K(x,K(y,z * u)) * K(y,T(x,w) / (z \ (u \ T(x,w)))) = K(y,T(x,w) \ (u * (z * T(x,w)))). K(x,y / (z \ (u * y))) = K(x,(u \ (z * y)) / y). K(x,(y \ (z * u)) / u) = K(x,u / (z \ (y * u))). K(x,T((y \ (z * u)) / u,w)) = K((x \ w) \ w,u / (z \ (y * u))). K((x \ y) \ y,z / (u \ (w * z))) = K(x,T((w \ (u * z)) / z,y)). K(x,T(y / (z \ (u * y)),w)) = K(x,T((u \ (z * y)) / y,w)). K(x,T((y \ (z * u)) / u,w)) = K(x,T(u / (z \ (y * u)),w)). K(x,y \ (z \ (u * y))) = K(x,T(y / (u \ (z * y)),y)). K(x,T(y / (z \ (u * y)),y)) = K(x,y \ (u \ (z * y))). K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). K(x,((y * z) \ (y * u)) \ u) != w | K(x,u / ((u * y) / (z * y))) = w. K(x,y / ((y * z) / (u * z))) = K(x,y \ (z \ ((z * u) * y))). K(x,(T(y,z) \ 1) / ((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z))))) = K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))). K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,(T(y,z) \ 1) / ((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z))))). K(x,T(y,z) \ (((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z)))) \ 1)) = K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))). K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z)))) \ 1)). K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((w * T(u,T(y \ 1,z))) \ 1) \ (T(y,z) * (u \ 1)))). K(x,(y * (z * u)) / ((z * u) * K(w / (u * z),v5))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). K(x,(y * (z * u)) / (z * (u * K((w / z) / u,v5)))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). K(x,(y * (z * u)) * ((z * u) \ K(w,(v5 / z) / u))) = K(x,(z * u) / (K(w,(u * z) \ v5) \ (y \ (z * u)))). K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,(v5 * (y * z)) * ((y * z) \ K(u,(w / y) / z))). x != K(y,(z * u) * (u \ K(w,v5))) | K(y,K(w,v5) * z) = x. K(x,K(y,(z / u) / w) * v5) = K(x,(u * w) / (K(y,(w * u) \ z) \ (v5 \ (u * w)))). K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,(w / y) / z) * v5). x != K(y,K(z,u / w) * v5) | K(y,K(z,w \ u) * v5) = x. K(x,K(y,z \ (u / w)) * v5) = K(x,(w * z) / (K(y,(z * w) \ u) \ (v5 \ (w * z)))). K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,z \ (w / y)) * v5). K(x,y / (z \ u)) != w | K(x,y * (u \ z)) = w. K(x,(y * z) * ((u \ (y * z)) \ K(w,(z * y) \ v5))) = K(x,K(w,z \ (v5 / y)) * u). K(x,y * ((z \ y) \ K(u,w))) != v5 | K(x,K(u,w) * z) = v5. K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,z \ (w / u)) * v5). K(x,K(y * (z * T(u * K(w,v5),w)),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) != v8 | K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7) = v8. K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),z \ ((y \ v6) / ((u \ w) \ T(w,v5)))) * v7). K(x,K(y * (z * T(u * K(w,v5),w)),z \ ((y \ v6) / ((u \ w) \ T(w,v5)))) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). K(x,K(y,(z * u) \ w) * v5) != v6 | K(x,K(y,(w \ z) * u) * v5) = v6. 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,(u \ z) * w) * v5). K(x,K(y * (z * T(u,w)),v5) * v6) != v7 | K(x,K(v5,(z * u) * y) * v6) = v7. K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * (w * K(v5,v6))) * z) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * w) * (z * K(v6,v5))) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(u * (y * T(z * K(v5,v6),v5)),w) * v7). x != K(y,K(z * (u * T(w,v5)),v6) * v7) | K(y,K(v6,(u * w) * z) * v7) = x. K(x,K(y,(z * (u * K(w,v5))) * v6) * v7) = K(x,K((z * u) * v6,z \ ((v6 \ y) / ((u \ w) \ T(w,v5)))) * v7). K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * (z * K(v5,v6))) * u) * v7). K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * z) * (u * K(v6,v5))) * v7). x != K(y,K(z,u * (w * K(v5,v6))) * v7) | K(y,K(u * w,z) * v7) = x. K(x,K((y * z) * u,w) * v5) = K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v6) \ T(v6,v7)))) * v5). K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K((y * z) * u,w) * v7). K(x,K(y,z \ (u / w)) * v5) != v6 | K(x,K(y,(u \ z) * w) * v5) = v6. K(x,K((y * z) * u,((u \ w) \ y) * ((z \ v5) \ T(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). K(x,K((y * z) * u,((u \ w) \ y) * T(z * K(v5,v6),v5)) * v7) = K(x,K((y * z) * u,w) * v7). K(x,K(y,z * T(u,w)) * v5) != v6 | K(x,K(y,z * u) * v5) = v6. K(x,K((y * z) * u,((u \ w) \ y) * (z * K(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K((u * w) * y,z) * v5). K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) != v6 | K(x,K(y * (u / (w \ 1)),z) * v5) = v6. K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K((z * u) * y,w) * v5). K(x,K(y * (z / (u \ 1)),w) * v5) != v6 | K(x,K(z * (u * y),w) * v5) = v6. 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 * (z * u),w) * v5). K(x,K((y * z) * u,w) * (v5 * v6)) != v7 | K(x,v5 * (K((y * T(z,v8)) * u,w) * v6)) = v7. K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K(z * (u * v5),v6) * (y * v7)). K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,y) * v6)) != v7 | K(x,T(y,z * (u * T(w,v5))) * v6) = v7. K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (T(y,K(z,u * w)) * v6)). x != K(y,z * (T(u,K(w,v5)) * v6)) | K(y,z * (u * v6)) = x. K(x,K(y * (z * u),w) * (w * v5)) = K(x,T(w,u * (y * T(z,v6))) * v5). K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (y * v6)). x != K(y,K(z,u) * (u * w)) | K(y,T(u,z) * w) = x. K(x,T(y,z * (u * w)) * v5) = K(x,T(y,w * (z * T(u,v6))) * v5). K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,u * (w * z)) * v6). K(x,T(y,z * (u * T(w,v5))) * v6) != v7 | K(x,T(y,(u * w) * z) * v6) = v7. K(x,T(y,(z * u) * w) * v5) = K(x,T(y,z * (u * w)) * v5). K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,T(u,v6) * (w * v5)) * y). K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,u * (w * v5)) * y). x != K(y,K(z,u)) * K(y,T(u,w) * z) | K(y,z * T(u,w)) = x. K(x,y * T(z,u * (w * v5))) = K(x,y * T(z,(u * w) * (v5 * K(u,v6)))). K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,y * T(z,u * (w * v5))). K(x,y * T(z,(u * w) * v5)) = K(x,y * T(z,u * (w * v5))). K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),(y * z) * w)) != v6 | K(x,T(v5,L(w \ L(u,z,y),w,y * z))) = v6. K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(v5 * (w * u),(v5 * w) * z) * T(y / (v5 * (w * u)),v5 * (w * z))). K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). K(x,T(y,(z * u) * w) * v5) != v6 | K(x,T(y,z * (u * w)) * v5) = v6. K(x,T(y * (z * u),y * (z * w)) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). K(x,T(y,z) * T(u / y,z)) != w | K(x,T(u,z \ y)) = w. K(x,T(y,(z * (u * w)) \ (z * (u * v5)))) = K(x,T(y,L(w \ L(v5,u,z),w,z * u))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * z)) \ (v5 * (w * u)))). K(x,T(y,(z * (u * w)) * (z * (u * v5)))) = K(x,T(y,L(v5 \ L(w,u,z),v5,z * u))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * u)) * (v5 * (w * z)))). x != K(y,T(z,(u * w) * v5)) | K(y,T(z,u * (w * v5))) = x. K(x,T(y,z * ((u * w) * (z * (u * v5))))) = K(x,T(y,L(v5 \ L(w,u,z),v5,z * u))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,v5 * ((w * u) * (v5 * (w * z))))). x != K(y,T(z,u * (w * (u * v5)))) | K(y,T(z,w * v5)) = x. K(x,T(y,(z * u) * (z * w))) = K(x,T(y,L(w \ L(u,z,v5),w,v5 * z))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(w * u) * (w * z))). K(x,T(y,z * (u * (z * w)))) = K(x,T(y,L(w \ L(u,z,v5),w,v5 * z))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,w * (u * (w * z)))). K(x,T(y,z * u)) = K(x,T(y,L(u \ L(z,w,v5),u,v5 * w))). K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,u * z)). K(x,T(y,z \ L(u,w,v5))) = K(x,T(y,u * z)). K(x,T(y,L(z,u,w) * v5)) = K(x,T(y,z * v5)). K(x,y) * K(y,T(x,z * u)) = K(x,K(y,L(z,w,v5) * u)). K(x,K(y,L(z,u,w) * v5)) = K(x,y) * K(y,T(x,z * v5)). x != K(y,z) * K(z,T(y,u)) | K(y,K(z,u)) = x. K(x,K(y,z * u)) = K(x,K(y,L(z,w,v5) * u)). K(x,K(y,L(z,u,w) * v5)) = K(x,K(y,z * v5)). K(x,K(y,L(z,u,w) * ((u * w) * v5))) != v6 | K(x,K(y,z * (u * (w * v5)))) = v6. 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,z * (u * (w * v5)))). K(x,K(y,z * ((u * w) * v5))) != v6 | K(x,K(y,z * ((u \ w) * v5))) = v6. K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * (u * (w * v5)))). K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * (1 * z)))). K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * z))). K(x,(y * a(z,u,u \ 1)) \ w) != v5 | K(x,y \ w) = v5. K(x,(((y \ 1) * z) \ u) \ w) = K(x,w / (((y \ 1) * z) \ u)) * K(x,K(w,u * (y * z))). K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * (z * u))) = K(x,(((z \ 1) * u) \ w) \ y). K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(((u \ 1) * w) \ z) \ y). K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) != v5 | K(x,(z \ (u \ w)) * y) = v5. K(x,(y \ (z \ u)) * w) = K(x,(((z \ 1) * u) \ y) \ w). K(x,(((y \ 1) * z) \ u) \ w) = K(x,(u \ (y \ z)) * w). K(x,(y \ ((z \ 1) * u)) * w) = K(x,(y \ (z \ u)) * w). K(x,(y \ ((z \ 1) * T(u,w))) * (T(u,w) \ (z * y))) != v5 | a(x,z,K(y,u)) = v5. a(x,y,K(z,u)) = K(x,(z \ (y \ T(u,w))) * (T(u,w) \ (y * z))). K(x,(y \ (z \ T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). K(x,(y \ (z \ u)) * (u \ (z * y))) != w | a(z,y,K(x,y \ u)) = w. a(x,y,K(z,y \ T(u,w))) = a(z,x,K(y,u)). a(x,y,K(z,u \ T(w,v5))) != v6 | a(z,y,K(x,w \ u)) = v6. a(x,y,K(z,u \ y)) = a(x,z,K(y,u)). a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). a(x,y,K(z,u \ y)) != w | a(u \ y,u,K(x,z)) = w. a(x \ y,x,K(z,u)) = a(z,u,K(y,x)). a(x,y,K(z \ y,u)) = a(x,u,K(z,y)). x != a(y,z,K(u,w)) | a(w,z,K(y,u)) = x. a(x,y,K(z,u)) = a(y,u,K(z,u \ x)). a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,u \ z)). K(x,L(y,z,z \ u)) = K(x,y) * a(u,y,K(x,z)). K(x,L(y,z,u)) = K(x,y) * a(z * u,y,K(x,z)). K(x,y) * a(z * u,y,K(x,z)) = K(x,L(y,z,u)). K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). K(x,y) * z != K(x,L(y,u,w)) | a(y,u,K(x,w)) = z. a(x,y,K(z,u)) = a(u,x,K(z,y)). x != a(y * z,u,K(w,y)) | a(z,u,K(w,y)) = x. a(x,y,K(z,u)) = a(y,u,K(z,u * x)). a(x,y,K(z,y * u)) = a(u,x,K(z,y)). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,T(z,u))). x != K(y,z / T(u,T(w,v5))) | K(y,z / T(u,w)) = x. K(x,(y * (K(z,u) * (w * z))) / T(z,u)) = K(x,(T(z,u) * K(w,z)) / (w \ (y \ (T(z,u) * K(w,z))))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,z)). x != K(y,(z * (K(u,w) * v5)) / v6) | K(y,(z * v5) * (v6 \ K(u,w))) = x. K(x,(y * (z * u)) * (T(u,w) \ K(u,w))) = K(x,(T(u,w) * K(z,u)) / (z \ (y \ (T(u,w) * K(z,u))))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (T(y,z) \ K(y,z))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (y \ 1)). K(x,(y * (z * u)) / u) = K(x,(T(u,w) * K(z,u)) / (z \ (y \ (T(u,w) * K(z,u))))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) / y). x != K(y,(z * (u * w)) / w) | K(y,w / (u \ (z \ w))) = x. K(x,y / (z \ (u \ y))) = K(x,(T(y,w) * K(z,y)) / (z \ (u \ (T(y,w) * K(z,y))))). K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. K(x,T(y,z) * ((u \ (w \ (T(y,z) * K(u,y)))) \ K(u,y))) = K(x,y / (u \ (w \ y))). K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. K(x,T(y,z) / (T(u,y) \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). K(x,T(y,z) / (T(u,y) \ ((w \ T(y,z)) * K(u,y)))) = K(x,y / (u \ (w \ y))). K(x,T(y,z) / T(u \ (w \ T(y,z)),K(u,y))) = K(x,y / (u \ (w \ y))). K(x,T(y,z) / (u \ (w \ T(y,z)))) = K(x,y / (u \ (w \ y))). K(x,K(y,z * u)) * K(y,x / (z \ (u \ x))) = K(y,T(x,w) \ (u * (z * T(x,w)))). K(x,T(y,z) \ (u * (w * T(y,z)))) = K(y,K(x,w * u)) * K(x,y / (w \ (u \ y))). x != K(y,K(z,u * w)) * K(z,y / (u \ (w \ y))) | K(z,y \ (w * (u * y))) = x. K(x,y \ (z * (u * y))) = K(x,T(y,w) \ (z * (u * T(y,w)))). K(x,T(y,z) \ (u * (w * T(y,z)))) = K(x,y \ (u * (w * y))). K(x,T(y,z) \ (L(u \ 1,u,y) * w)) != v5 | K(x,T(y,z) \ (u \ w)) = v5. K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (L(u \ 1,u,y) * (w * y))). x != K(y,z \ (L(u \ 1,u,z) * w)) | K(y,z \ (u \ w)) = x. K(x,y \ (z \ (u * y))) = K(x,T(y,w) \ (z \ (u * T(y,w)))). K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ ((K(w,T(y,z)) * u) \ (w * y))). K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ T(y * w,K(w,z)))). x != K(y,z \ (u \ T(w,K(v5,v6)))) | K(y,z \ (u \ w)) = x. K(x,y \ (z \ (y * u))) = K(x,T(y,w) \ (z \ (T(y,w) * u))). K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ (y * w))). K(x,T(y,z) \ (((u * T(w,T(y \ 1,z))) \ 1) \ (T(y,z) * (w \ 1)))) != v5 | K(x,(T(y,z) \ 1) \ (T(w,T(y \ 1,z)) \ ((T(w,T(y \ 1,z)) * u) * (T(y,z) \ 1)))) = v5. K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). K(x,(T(y,z) \ 1) \ (u \ ((u * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). K(x,(T(y,z) \ 1) \ (u \ (w * (T(y,z) \ 1)))) != v5 | K(x,y * (u \ (w * (y \ 1)))) = v5. K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,y \ (((u * T(z,T(y \ 1,w))) \ 1) \ (y * (z \ 1)))). K(x,y \ (((z * T(u,T(y \ 1,w))) \ 1) \ (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). K(x,y \ ((z \ 1) \ u)) != w | K(x,y \ (z * u)) = w. K(x,y \ ((z * T(u,T(y \ 1,w))) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). K(x,y \ ((z * T(u,y \ 1)) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). K(x,y \ ((z * u) * ((u \ 1) * y))) = K(x,y * (u \ ((u * z) * (y \ 1)))). K(x,((((y * z) \ u) \ 1) / z) * u) = K(x,u * (z \ ((z * y) * (u \ 1)))). K(x,(y * ((z * y) \ u)) \ u) = K(x,u * (y \ ((y * z) * (u \ 1)))). K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,(z * ((u * z) \ y)) \ y). x != K(y,(z * (u \ w)) \ w) | K(y,w \ (u * (z \ w))) = x. K(x,y \ ((z * u) * (u \ y))) = K(x,y * (u \ ((u * z) * (y \ 1)))). K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,y \ ((u * z) * (z \ y))). K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,R(T(u,y),z,z \ y)). x != K(y,R(z,u,w)) | K(y,L(z,u,w)) = x. K(x,L(T(y,z),u,u \ z)) = K(x,z * (u \ ((u * y) * (z \ 1)))). K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,L(T(u,y),z,z \ y)). (x \ K(y,z)) * K(u,L(T(w,x),v5,v5 \ x)) = v5 \ ((v5 * K(u,w)) * (x \ K(y,z))). (x \ K(y,z)) * K(u,L(w,v5,v5 \ x)) != v6 | (v5 * ((K(u,w) * v5) \ x)) \ K(y,z) = v6. (x * ((K(y,T(z,u)) * x) \ u)) \ K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). ((x / y) * (y * K(z,u))) \ K(w,v5) = y \ ((y * K(u,z)) * (x \ K(w,v5))). (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) != v5 | (z \ 1) * ((K(u,w) / z) \ x) = v5. (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * ((u \ K(w,u)) \ K(w,u))). x \ ((x * K(y,z)) * ((u \ K(w,u)) \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). x \ ((x * K(y,z)) * T(u,u \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). x \ ((x * K(y,z)) * T(u,K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). x \ ((x * K(y,z)) * u) = (x \ 1) * ((K(z,y) / x) \ u). (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) != w | u * a(y,u,K(z,u * x)) = w. x * a(y,x,K(z,x * u)) = u \ ((u * K(z,y)) * (K(y,z) * x)). x \ ((x * K(y,z)) * (K(z,y) * u)) = u * a(z,u,K(y,u * x)). L(x,K(y,z),u) = x * a(y,x,K(z,x * u)). x * a(y,x,K(z,x * u)) = L(x,K(y,z),u). x * a(y,z,K(u,x)) = L(x,K(z,u),y). x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. L(x,y,K(z,u)) = L(x,K(y,u),z). L(x,K(y,z),u) = L(x,y,K(u,z)). L(x \ L(x,y,K(z * ((K(y,u) * z) \ w),u)),x,w * a(y,z,K(w \ z,u))) = a(w,K(u,y),x). L(x \ L(x,y,K(z * ((z \ u) * K(w,y)),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). L(x \ L(x,y,K(z * (z \ u),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). L(x \ L(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). L(a(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). L(a(x,y,K(z,u)),x,z * a(y,u,K(z,w))) = a(z,K(u,y),x). L(a(x,y,K(z,u)),x,L(z,u,K(w,y))) = a(z,K(u,y),x). 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,x,L(z,u,K(w,y))))) = a(z,K(u,y),x). a(x,y,K(z,u)) = a(z,K(u,y),x). 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(u,z,K(x,y)) # label("aK2_eq_aK3 (4312)") # label(non_clause) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x \ (x * y) = y. [assumption]. x * (x \ y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. x \ (y * x) = T(y,x). [assumption]. T(T(x,y),z) = T(T(x,z),y). [assumption]. T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). [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(c4,c3,K(c1,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (4312)"). [deny(6)]. end_of_list. formulas(demodulators). end_of_list. % 26556 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "aK2_eq_aK3 (4312)" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. *=1. /=1. \=1. T=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 (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). [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(c4,c3,K(c1,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (4312)") # answer("aK2_eq_aK3 (4312)"). [deny(6)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 63 a(c4,c3,K(c1,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (4312)") # answer("aK2_eq_aK3 (4312)"). [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 (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). [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. % 20132 hints (26556 processed, 6424 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.64 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=13): 32 (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). [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): 65 x \ x = 1. [para(8(a,1),9(a,1,2))]. given #51 (H,wt=5): 70 x / x = 1. [para(7(a,1),11(a,1,1))]. given #52 (H,wt=5): 71 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): 159 K(x,x) = 1. [hyper(62,a,16,a,b,65,a)]. given #55 (H,wt=7): 73 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. given #56 (H,wt=7): 76 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. given #57 (H,wt=7): 160 (x \ x) * y = y. [para(65(a,2),7(a,1,1))]. given #58 (H,wt=7): 164 T(x,T(x,y)) = x. [hyper(39,a,23,a,b,107,a(flip))]. given #59 (H,wt=7): 167 x * K(y,y) = x. [para(159(a,2),8(a,1,2))]. given #60 (H,wt=8): 117 1 * x != y | y = x. [para(7(a,1),42(a,1)),flip(a)]. given #61 (H,wt=8): 118 1 * x != y | x = y. [para(7(a,1),42(a,2))]. given #62 (H,wt=8): 119 x * y != x | 1 = y. [para(8(a,1),42(a,1)),flip(a)]. given #63 (H,wt=8): 123 x * 1 != y | y = x. [para(8(a,1),43(a,1)),flip(a)]. given #64 (H,wt=8): 124 x * 1 != y | x = y. [para(8(a,1),43(a,2))]. given #65 (H,wt=8): 157 1 \ x != y | x = y. [para(64(a,1),46(a,2))]. given #66 (H,wt=8): 158 x \ y != y | 1 = x. [para(64(a,1),47(a,1)),flip(a)]. given #67 (H,wt=8): 161 x / 1 != y | x = y. [para(71(a,1),45(a,2))]. given #68 (H,wt=8): 162 T(x,R(x,y,z)) = x. [hyper(41,a,27,a,b,107,a(flip))]. given #69 (H,wt=8): 163 T(x,L(x,y,z)) = x. [hyper(40,a,25,a,b,107,a(flip))]. given #70 (H,wt=8): 186 x \ x != y | 1 = y. [para(160(a,1),119(a,1)),flip(a)]. given #71 (H,wt=8): 190 x != y | x * 1 = y. [para(11(a,1),161(a,1))]. given #72 (H,wt=8): 192 K(x,L(x,y,z)) = 1. [hyper(54,a,163,a)]. given #73 (H,wt=9): 67 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. given #74 (H,wt=9): 68 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. given #75 (H,wt=9): 74 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. given #76 (H,wt=9): 75 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. given #77 (H,wt=9): 108 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. given #78 (H,wt=9): 110 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. given #79 (H,wt=9): 148 x \ (y * 1) = x \ y. [hyper(61,a,8,a)]. given #80 (H,wt=9): 151 (x * y) / y = 1 * x. [hyper(62,a,11,a,b,7,a(flip))]. given #81 (H,wt=9): 153 x * (x \ y) = y * 1. [hyper(62,a,10,a,b,8,a(flip))]. given #82 (H,wt=9): 154 1 \ (x * (x \ y)) = y. [hyper(62,a,64,a,b,10,a)]. given #83 (H,wt=9): 155 (x * (x \ 1)) \ y = y. [para(10(a,2),64(a,1,1))]. given #84 (H,wt=9): 156 ((1 / x) * x) \ y = y. [para(12(a,2),64(a,1,1))]. given #85 (H,wt=9): 165 T(T(x,y),x) = T(x,y). [para(107(a,1),23(a,1,1)),flip(a)]. given #86 (H,wt=7): 239 K(T(x,y),x) = 1. [hyper(54,a,165,a)]. given #87 (H,wt=9): 174 (x * y) / T(x,y) = y. [para(22(a,2),73(a,1,2))]. given #88 (H,wt=9): 200 x * T(y / x,x) = y. [hyper(62,a,108,a,b,12,a)]. given #89 (H,wt=9): 203 T((x * y) / x,x) = y. [hyper(33,a,12,a(flip),b,108,a),flip(a)]. given #90 (H,wt=9): 204 (x * T(y,x)) / x = y. [hyper(34,a,12,a,b,108,a(flip))]. given #91 (H,wt=9): 205 x \ (y * T(x,y)) = y. [hyper(33,a,10,a,b,108,a(flip))]. given #92 (H,wt=9): 229 x \ (y * (y \ x)) = 1. [hyper(33,a,10,a,b,153,a(flip))]. given #93 (H,wt=9): 245 K(x,(y * x) / y) = 1. [para(203(a,1),239(a,1,1))]. given #94 (H,wt=9): 248 T(x,(y * x) / y) = x. [hyper(55,a,245,a)]. given #95 (H,wt=10): 121 x * y != z | x \ z = y. [para(10(a,1),42(a,1)),flip(a)]. given #96 (H,wt=10): 122 (x / y) * z != x | z = y. [para(12(a,1),42(a,2))]. given #97 (H,wt=10): 126 x * (y \ z) != z | x = y. [para(10(a,1),43(a,2))]. given #98 (H,wt=10): 127 x * y != z | z / y = x. [para(12(a,1),43(a,1)),flip(a)]. given #99 (H,wt=10): 129 x / y != z | z * y = x. [para(11(a,1),45(a,1)),flip(a)]. given #100 (H,wt=8): 250 x != y | y * 1 = x. [para(71(a,1),129(a,1))]. given #101 (H,wt=10): 131 x \ y != z | x * z = y. [para(9(a,1),46(a,1)),flip(a)]. given #102 (H,wt=10): 133 x \ (y * z) != z | y = x. [para(9(a,1),47(a,1)),flip(a)]. given #103 (H,wt=10): 175 x / y != z | z \ x = y. [para(73(a,1),44(a,1)),flip(a)]. given #104 (H,wt=10): 182 x \ y != z | y / z = x. [para(76(a,1),47(a,1)),flip(a)]. given #105 (H,wt=10): 191 T(x,R(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,162,a(flip))]. given #106 (H,wt=10): 221 x * 1 != y | T(x,1) = y. [para(108(a,1),117(a,1)),flip(b)]. given #107 (H,wt=5): 251 T(x,1) = x. [hyper(221,a,8,a)]. given #108 (H,wt=5): 252 K(x,1) = 1. [hyper(54,a,251,a)]. given #109 (H,wt=5): 253 T(1,x) = 1. [hyper(53,a,251,a)]. given #110 (H,wt=10): 227 (x * y) / y != z | z = x. [para(151(a,2),117(a,1))]. given #111 (H,wt=8): 255 x / x != y | 1 = y. [para(7(a,1),227(a,1,1)),flip(b)]. given #112 (H,wt=10): 228 (x * y) / y != z | x = z. [para(151(a,2),118(a,1))]. given #113 (H,wt=10): 232 x * (x \ y) != z | z = y. [para(153(a,2),123(a,1))]. given #114 (H,wt=10): 233 x * (x \ y) != z | y = z. [para(153(a,2),124(a,1))]. given #115 (H,wt=10): 234 x != y | z * (z \ x) = y. [para(154(a,1),157(a,1))]. given #116 (H,wt=10): 258 x / (y \ x) != z | y = z. [para(10(a,1),228(a,1,1))]. given #117 (H,wt=10): 263 (x / y) * y != z | z = x. [para(76(a,1),232(a,1,2))]. given #118 (H,wt=10): 265 (x / y) * y != z | x = z. [para(76(a,1),233(a,1,2))]. given #119 (H,wt=11): 66 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. given #120 (H,wt=11): 69 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. given #121 (H,wt=11): 72 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. given #122 (H,wt=11): 77 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. given #123 (H,wt=11): 78 ((x * (x \ y)) / z) * z = y. [para(12(a,2),10(a,1))]. given #124 (H,wt=11): 79 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. given #125 (H,wt=10): 269 x != y | (x * z) / z = y. [para(79(a,1),227(a,1)),flip(b)]. given #126 (H,wt=11): 85 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. given #127 (H,wt=11): 109 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. given #128 (H,wt=11): 114 1 * x != y | z != y | x = z. [para(7(a,1),33(b,1))]. given #129 (H,wt=9): 286 x != y | z != y | x = z. [para(7(a,1),114(a,1))]. given #130 (H,wt=11): 142 ((x / y) * y) * z = x * z. [hyper(56,a,12,a)]. given #131 (H,wt=11): 143 (x * (x \ y)) * z = y * z. [hyper(56,a,10,a)]. given #132 (H,wt=11): 145 x * (y * (y \ z)) = x * z. [hyper(57,a,10,a)]. given #133 (H,wt=11): 146 ((x / y) * y) / z = x / z. [hyper(58,a,12,a)]. given #134 (H,wt=11): 147 (x * (x \ y)) \ z = y \ z. [hyper(60,a,10,a)]. given #135 (H,wt=11): 149 (x * y) / y = (x / z) * z. [hyper(62,a,12,a,b,11,a(flip)),flip(a)]. given #136 (H,wt=11): 150 (x / y) * y = z * (z \ x). [hyper(62,a,12,a,b,10,a(flip))]. given #137 (H,wt=11): 152 x \ (x * y) = z * (z \ y). [hyper(62,a,10,a,b,9,a(flip)),flip(a)]. given #138 (H,wt=10): 301 x \ (x * y) != z | z = y. [para(152(a,2),232(a,1))]. given #139 (H,wt=10): 302 x \ (x * y) != z | y = z. [para(152(a,2),233(a,1))]. given #140 (H,wt=8): 309 T(x,x) != y | x = y. [para(22(a,2),302(a,1))]. given #141 (H,wt=10): 303 (x / y) \ x != z | z = y. [para(12(a,1),301(a,1,2))]. given #142 (H,wt=10): 308 (x / y) \ x != z | y = z. [para(12(a,1),302(a,1,2))]. given #143 (H,wt=11): 166 T(L(x,y,z),x) = L(x,y,z). [para(107(a,1),25(a,1,1)),flip(a)]. given #144 (H,wt=11): 168 x / (y \ x) = z * (z \ y). [hyper(62,a,73,a,b,10,a(flip))]. given #145 (H,wt=11): 169 (x / (y \ x)) \ z = y \ z. [hyper(60,a,73,a)]. given #146 (H,wt=11): 170 (x / (y \ x)) * z = y * z. [hyper(56,a,73,a)]. given #147 (H,wt=11): 176 x / (y / ((z \ x) \ y)) = z. [para(73(a,2),73(a,1,2))]. given #148 (H,wt=11): 177 (x / y) \ x = z * (z \ y). [hyper(62,a,76,a,b,10,a(flip))]. given #149 (H,wt=11): 178 (x / y) \ x = z \ (z * y). [hyper(62,a,76,a,b,9,a(flip))]. given #150 (H,wt=11): 179 ((x / y) \ x) * z = y * z. [hyper(56,a,76,a)]. given #151 (H,wt=11): 180 x * ((y / (x \ z)) \ y) = z. [hyper(37,a,9,a,b,76,a(flip))]. given #152 (H,wt=11): 181 ((x / (y / z)) \ x) \ y = z. [hyper(35,a,73,a,b,76,a(flip))]. given #153 (H,wt=11): 201 (x \ y) * T(x,x \ y) = y. [hyper(62,a,108,a,b,10,a)]. given #154 (H,wt=11): 220 T(x,y) * x = x * T(x,y). [para(164(a,1),108(a,1,2))]. given #155 (H,wt=11): 222 T(x / (x / y),x / y) = y. [hyper(62,a,110,a,b,76,a)]. given #156 (H,wt=11): 236 K(x \ 1,x) = (x \ 1) * x. [hyper(62,a,16,a,b,155,a)]. given #157 (H,wt=11): 238 K(x,1 / x) = x * (1 / x). [hyper(62,a,16,a,b,156,a)]. given #158 (H,wt=11): 240 x / T(y,y \ x) = y \ x. [para(10(a,1),174(a,1,1))]. given #159 (H,wt=11): 249 T(x \ y,y / x) = x \ y. [para(10(a,1),248(a,1,2,1))]. given #160 (H,wt=11): 290 (x / (y * (y \ z))) * z = x. [hyper(265,a,145,a),flip(a)]. given #161 (H,wt=11): 291 x / (y \ ((x / z) * z)) = y. [hyper(258,a,146,a),flip(a)]. given #162 (H,wt=11): 313 ((x / y) \ x) * (y \ z) = z. [hyper(286,a,10,a(flip),b,179,a),flip(a)]. given #163 (H,wt=11): 314 (x / y) * ((z / y) \ z) = x. [para(76(a,1),180(a,1,2,1,2))]. given #164 (H,wt=11): 318 (x \ 1) \ K(x \ 1,x) = x. [hyper(121,a,236,a(flip))]. given #165 (H,wt=11): 321 x \ K(x,1 / x) = 1 / x. [hyper(121,a,238,a(flip))]. given #166 (H,wt=11): 324 (x / ((y / z) * z)) * y = x. [para(76(a,1),290(a,1,1,2,2))]. given #167 (H,wt=12): 90 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. given #168 (H,wt=10): 333 x \ (x * y) = L(y,x,1). [para(7(a,1),90(a,1,2))]. given #169 (H,wt=6): 334 L(x,y,1) = x. [hyper(302,a,333,a),flip(a)]. given #170 (H,wt=9): 335 L(x,y,1) != z | z = x. [para(333(a,1),301(a,1))]. given #171 (H,wt=12): 91 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. given #172 (H,wt=10): 337 x \ (x * y) = L(y,1,x). [para(8(a,1),91(a,1,1))]. given #173 (H,wt=6): 338 L(x,1,y) = x. [hyper(302,a,337,a),flip(a)]. given #174 (H,wt=9): 339 L(x,1,y) != z | z = x. [para(337(a,1),301(a,1))]. given #175 (H,wt=9): 340 L(x,1,y) != z | x = z. [para(337(a,1),302(a,1))]. given #176 (H,wt=10): 341 L(x,1,y) = z \ (z * x). [hyper(286,a,9,a,b,338,a),flip(a)]. given #177 (H,wt=12): 98 (x * y) / (x * y) = R(1,x,y). [para(7(a,1),20(a,2,1,1)),flip(a)]. given #178 (H,wt=6): 343 R(1,x,y) = 1. [hyper(255,a,98,a),flip(a)]. given #179 (H,wt=9): 344 R(1,x,y) != z | 1 = z. [para(98(a,1),255(a,1))]. given #180 (H,wt=12): 99 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. given #181 (H,wt=10): 346 (x * y) / y = R(x,1,y). [para(8(a,1),99(a,1,1,1))]. given #182 (H,wt=6): 347 R(x,1,y) = x. [hyper(228,a,346,a),flip(a)]. given #183 (H,wt=9): 348 R(x,1,y) != z | x = z. [para(346(a,1),228(a,1))]. given #184 (H,wt=12): 100 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. given #185 (H,wt=10): 350 (x * y) / y = R(x,y,1). [para(8(a,1),100(a,1,2))]. given #186 (H,wt=6): 351 R(x,y,1) = x. [hyper(228,a,350,a),flip(a)]. given #187 (H,wt=12): 120 (x * y) * 1 != x * z | y = z. [para(8(a,2),42(a,1))]. given #188 (H,wt=12): 132 T(x,y) != y \ z | x * y = z. [para(22(a,2),46(a,1))]. given #189 (H,wt=12): 185 ((1 / x) * x) * y != z | y = z. [para(12(a,2),118(a,1,1))]. given #190 (H,wt=12): 187 x * (y * (y \ 1)) != z | z = x. [para(10(a,2),123(a,1,2))]. given #191 (H,wt=12): 188 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),124(a,1,2))]. given #192 (H,wt=12): 189 x * ((1 / y) * y) != z | x = z. [para(12(a,2),124(a,1,2))]. given #193 (H,wt=12): 195 L(x \ 1,x,y) = (y * x) \ y. [para(68(a,1),18(a,2,2))]. given #194 (H,wt=12): 197 R(1 / x,x,y) = y / (x * y). [para(74(a,1),20(a,2,1))]. given #195 (H,wt=12): 217 x * y != z * x | T(z,x) = y. [para(108(a,1),42(a,1)),flip(a)]. given #196 (H,wt=10): 367 x * y != x | T(1,x) = y. [para(7(a,1),217(a,2))]. given #197 (H,wt=12): 218 x * T(y,x) != z * x | y = z. [para(108(a,2),43(a,1))]. given #198 (H,wt=12): 219 x * T(y,x) != z * x | z = y. [para(108(a,2),43(a,2)),flip(a)]. given #199 (H,wt=12): 226 x / y != 1 * z | z * y = x. [para(151(a,1),45(a,1)),flip(a)]. given #200 (H,wt=12): 230 x * 1 != y * z | y \ x = z. [para(153(a,1),42(a,1))]. given #201 (H,wt=12): 231 x * (x \ y) != y * z | 1 = z. [para(153(a,2),42(a,1))]. given #202 (H,wt=12): 242 (x * y) / z != y | T(x,y) = z. [para(174(a,1),44(a,1)),flip(a)]. given #203 (H,wt=12): 244 T(x,y) != z | (y * z) / y = x. [para(203(a,1),48(a,1)),flip(a)]. given #204 (H,wt=12): 246 x / y != z | y * T(z,y) = x. [para(204(a,1),45(a,1)),flip(a)]. given #205 (H,wt=12): 256 (x * y) / T(x,y) != z | z = y. [para(108(a,1),227(a,1,1))]. given #206 (H,wt=12): 257 (x * T(y,x)) / x != z | z = y. [para(108(a,2),227(a,1,1))]. given #207 (H,wt=12): 259 (x * T(y,x)) / x != z | y = z. [para(108(a,2),228(a,1,1))]. given #208 (H,wt=12): 262 x * T(y,x) != z | y * x = z. [para(22(a,2),232(a,1,2)),flip(b)]. given #209 (H,wt=10): 378 x != y | (x / z) * z = y. [para(200(a,1),262(a,1))]. given #210 (H,wt=12): 264 x * y != z | y * T(x,y) = z. [para(205(a,1),232(a,1,2)),flip(b)]. given #211 (H,wt=12): 267 1 / (x * (1 / x)) != y | 1 = y. [para(32(a,1),263(a,1)),flip(b)]. given #212 (H,wt=12): 292 x \ (y * (y \ x)) != z | 1 = z. [para(147(a,1),186(a,1))]. given #213 (H,wt=12): 304 x \ (y * x) != z | T(y,x) = z. [para(108(a,1),301(a,1,2)),flip(b)]. given #214 (H,wt=12): 305 x \ (y * 1) != z | x \ y = z. [para(153(a,1),301(a,1,2)),flip(b)]. given #215 (H,wt=12): 306 x \ y != z | T(y / x,x) = z. [para(200(a,1),301(a,1,2)),flip(b)]. given #216 (H,wt=12): 353 L(x \ 1,x,1 / x) = 1 / x. [hyper(286,a,156,a(flip),b,195,a),flip(a)]. given #217 (H,wt=12): 356 x / L(y \ 1,y,x) = x * y. [hyper(182,a,195,a(flip))]. given #218 (H,wt=12): 357 (x * y) * L(y \ 1,y,x) = x. [hyper(131,a,195,a(flip))]. given #219 (H,wt=12): 362 R(1 / x,x,y) \ y = x * y. [hyper(175,a,197,a(flip))]. given #220 (H,wt=13): 86 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. given #221 (H,wt=13): 87 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. given #222 (H,wt=13): 88 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. given #223 (H,wt=13): 89 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. given #224 (H,wt=13): 115 x != y | z * u != y | z \ x = u. [para(10(a,1),33(a,1))]. given #225 (H,wt=13): 116 x != y | z * u != y | x / u = z. [para(12(a,1),34(a,1))]. given #226 (H,wt=13): 144 x * (y \ (z * y)) = x * T(z,y). [hyper(57,a,22,a),flip(a)]. given #227 (H,wt=13): 194 x * (x \ y) = y * (z * (z \ 1)). [hyper(62,a,68,a,b,10,a(flip)),flip(a)]. given #228 (H,wt=13): 196 (x / y) * y = ((1 / z) * z) * x. [hyper(62,a,74,a,b,12,a(flip)),flip(a)]. given #229 (H,wt=13): 202 x * (y * T(z,y)) = x * (z * y). [hyper(57,a,108,a)]. given #230 (H,wt=13): 212 T(x,y) \ (x * y) = T(y,T(x,y)). [para(108(a,1),22(a,2,2)),flip(a)]. given #231 (H,wt=13): 213 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),108(a,1,2))]. given #232 (H,wt=13): 223 T(T(x / y,z),y) = T(y \ x,z). [para(110(a,1),23(a,1,1)),flip(a)]. given #233 (H,wt=13): 241 (T(x,y) * z) / T(T(x,z),y) = z. [para(23(a,1),174(a,1,2))]. given #234 (H,wt=13): 243 T(T((x * y) / x,z),x) = T(y,z). [para(203(a,1),23(a,1,1)),flip(a)]. given #235 (H,wt=13): 270 ((x \ y) * x) * K(x,x \ y) = y. [hyper(62,a,85,a,b,10,a)]. given #236 (H,wt=13): 271 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),85(a,1,1))]. given #237 (H,wt=13): 272 x * K(y,x / y) = y * (x / y). [para(12(a,1),85(a,1,1))]. given #238 (H,wt=13): 296 x / K(y,y \ x) = (y \ x) * y. [hyper(34,a,85,a,b,150,a),flip(a)]. given #239 (H,wt=13): 317 x * T(x \ 1,x) = K(x \ 1,x). [hyper(286,a,108,a,b,236,a)]. given #240 (H,wt=13): 342 L(x,1,y) != z \ (z * u) | u = x. [para(341(a,1),49(a,1)),flip(a)]. given #241 (H,wt=13): 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(236(a,2),87(a,1,1))]. given #242 (H,wt=14): 80 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(8(a,1),14(a,2,1,2)),flip(a)]. given #243 (H,wt=6): 418 a(x,y,1) = 1. [hyper(302,a,80,a),flip(a)]. given #244 (H,wt=6): 421 L(1,x,y) = 1. [hyper(51,a,418,a)]. given #245 (H,wt=8): 422 a(x,y,K(z,z)) = 1. [para(159(a,2),418(a,1,3))]. given #246 (H,wt=9): 419 a(x,y,1) != z | 1 = z. [para(80(a,1),301(a,1)),flip(b)]. given #247 (H,wt=14): 92 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. given #248 (H,wt=14): 94 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. given #249 (H,wt=12): 442 L(x \ T(y * x,y),x,y) = y. [hyper(286,a,205,a(flip),b,94,a),flip(a)]. given #250 (H,wt=14): 104 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. given #251 (H,wt=14): 105 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. given #252 (H,wt=14): 125 x \ (x * (y * z)) != u * z | y = u. [para(9(a,2),43(a,1))]. given #253 (H,wt=14): 128 ((x * y) / z) * z != u * y | x = u. [para(12(a,2),43(a,1))]. given #254 (H,wt=14): 135 T(x,y) != z \ (z * T(u,y)) | u = x. [para(9(a,2),48(a,1)),flip(a)]. given #255 (H,wt=14): 136 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),48(a,1))]. given #256 (H,wt=14): 171 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(35,a,20,a(flip),b,73,a),flip(a)]. given #257 (H,wt=14): 173 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),73(a,1,2))]. given #258 (H,wt=14): 193 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(67(a,1),20(a,2,1))]. given #259 (H,wt=14): 199 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(75(a,1),18(a,2,2))]. given #260 (H,wt=14): 235 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(62,a,18,a,b,155,a),flip(a)]. given #261 (H,wt=14): 237 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(62,a,18,a,b,156,a),flip(a)]. given #262 (H,wt=14): 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(69(a,1),18(a,2,2))]. given #263 (H,wt=14): 275 (x * y) * z != y * x | K(y,x) = z. [para(85(a,1),42(a,1)),flip(a)]. given #264 (H,wt=14): 276 (x * y) * K(y,x) != y * z | x = z. [para(85(a,2),42(a,1))]. given #265 (H,wt=14): 285 x / T(y,y \ x) != z | y \ x = z. [para(109(a,2),258(a,1,2))]. given #266 (H,wt=14): 288 ((x / y) * y) * z != u | x \ u = z. [para(142(a,2),121(a,1))]. given #267 (H,wt=14): 293 (x * y) / y != z * u | x / u = z. [para(149(a,2),43(a,1))]. given #268 (H,wt=12): 508 x * 1 != y * z | x / z = y. [para(71(a,1),293(a,1))]. given #269 (H,wt=12): 509 1 * x != y * z | x / z = y. [para(151(a,1),293(a,1))]. given #270 (H,wt=14): 294 x / y != (z / u) * u | z * y = x. [para(149(a,1),45(a,1)),flip(a)]. given #271 (H,wt=14): 295 ((x / y) * y) * z != u | x * z = u. [para(149(a,1),263(a,1,1)),flip(b)]. given #272 (H,wt=14): 297 (x / y) * y != z * u | z \ x = u. [para(150(a,2),42(a,1))]. given #273 (H,wt=12): 515 1 * x != y * z | y \ x = z. [para(70(a,1),297(a,1,1))]. given #274 (H,wt=14): 298 x * (x \ y) != z * u | y / u = z. [para(150(a,1),43(a,1))]. given #275 (H,wt=14): 299 x \ (x * y) != z * u | z \ y = u. [para(152(a,2),42(a,1))]. given #276 (H,wt=14): 300 x * (y * (y \ z)) != u | x * z = u. [para(152(a,1),232(a,1,2)),flip(b)]. given #277 (H,wt=14): 307 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),301(a,1,2)),flip(b)]. given #278 (H,wt=14): 310 x / y != z * (z \ u) | u \ x = y. [para(168(a,1),44(a,1)),flip(a)]. given #279 (H,wt=14): 311 (x * (x \ y)) \ z != u | y \ z = u. [para(168(a,1),303(a,1,1)),flip(b)]. given #280 (H,wt=14): 312 x \ y != z * (z \ u) | y / u = x. [para(177(a,1),47(a,1)),flip(a)]. given #281 (H,wt=14): 315 (x \ y) * z != y | T(x,x \ y) = z. [para(201(a,1),42(a,1)),flip(a)]. given #282 (H,wt=14): 316 (x \ y) \ y != z | T(x,x \ y) = z. [para(201(a,1),301(a,1,2)),flip(b)]. given #283 (H,wt=14): 320 K(x \ 1,x) != y * x | x \ 1 = y. [para(236(a,2),43(a,1))]. given #284 (H,wt=14): 322 x \ y != y / z | T(x,x \ y) = z. [para(240(a,1),44(a,1))]. given #285 (H,wt=14): 327 x * ((y / z) \ y) != u | u / z = x. [para(314(a,1),43(a,1)),flip(a)]. given #286 (H,wt=14): 329 (x \ 1) * x != y | K(x \ 1,x) = y. [para(318(a,1),232(a,1,2)),flip(b)]. given #287 (H,wt=14): 330 x \ y != 1 / x | K(x,1 / x) = y. [para(321(a,1),46(a,1)),flip(a)]. given #288 (H,wt=14): 331 x * (1 / x) != y | K(x,1 / x) = y. [para(321(a,1),232(a,1,2)),flip(b)]. given #289 (H,wt=14): 354 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(286,a,147,a(flip),b,195,a),flip(a)]. given #290 (H,wt=11): 540 K((x \ y) \ 1,y \ x) = 1. [para(354(a,1),192(a,1,2))]. given #291 (H,wt=11): 541 K(((x * y) \ x) \ 1,y) = 1. [para(9(a,1),540(a,1,2))]. given #292 (H,wt=14): 358 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),195(a,2,1))]. given #293 (H,wt=14): 363 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),197(a,2,2))]. given #294 (H,wt=14): 364 R(1 / (x / y),x / y,y) = y / x. [para(12(a,1),197(a,2,2))]. given #295 (H,wt=14): 374 x * (x \ y) != z * u | z \ y = u. [para(153(a,2),230(a,1))]. given #296 (H,wt=14): 381 x / L(y,1 / y,x) = x * (1 / y). [para(76(a,1),356(a,1,2,1))]. given #297 (H,wt=14): 384 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(73(a,1),362(a,1,1,1))]. given #298 (H,wt=14): 387 K(x \ 1,x) != y | (x \ 1) * x = y. [para(86(a,1),157(a,1))]. given #299 (H,wt=14): 391 K(x,1 / x) != y | x * (1 / x) = y. [para(88(a,1),157(a,1))]. given #300 (H,wt=14): 392 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(115,a,18,a,b,156,a(flip))]. given #301 (H,wt=14): 393 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(115,a,18,a,b,155,a(flip))]. given #302 (H,wt=14): 395 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(116,a,195,a(flip),b,7,a)]. given #303 (H,wt=14): 424 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(115,a,92,a,b,xx)]. given #304 (H,wt=14): 443 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(286,a,156,a(flip),b,94,a),flip(a)]. given #305 (H,wt=14): 444 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(286,a,155,a(flip),b,94,a),flip(a)]. given #306 (H,wt=14): 457 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(189,a,104,a),flip(a)]. given #307 (H,wt=14): 458 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(188,a,104,a),flip(a)]. given #308 (H,wt=14): 460 R(x / y,y,z) \ (x * z) = y * z. [hyper(115,a,142,a(flip),b,104,a)]. given #309 (H,wt=14): 463 R(x,1 / y,y) / y = x * (1 / y). [hyper(116,a,75,a(flip),b,104,a(flip))]. given #310 (H,wt=14): 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(116,a,68,a(flip),b,104,a(flip))]. given #311 (H,wt=14): 478 R((x / y) / z,z,y) = x / (z * y). [hyper(286,a,146,a(flip),b,105,a),flip(a)]. given #312 (H,wt=14): 489 x \ (x * y) != z * u | y / u = z. [para(12(a,1),125(a,1,2,2))]. given #313 (H,wt=14): 490 (x / y) * y != z * u | x / u = z. [para(12(a,1),128(a,1,1,1))]. given #314 (H,wt=14): 497 x / K(x \ 1,x) = R(x,x \ 1,x). [para(236(a,2),193(a,2,2)),flip(a)]. given #315 (H,wt=14): 498 K(x,1 / x) \ x = L(x,1 / x,x). [para(238(a,2),199(a,2,1)),flip(a)]. given #316 (H,wt=14): 501 x * K(x \ 1,x) = L(x,x \ 1,x). [para(236(a,2),235(a,1,2))]. given #317 (H,wt=14): 512 (x * (x \ y)) * z != u | y * z = u. [para(73(a,1),295(a,1,1,1))]. given #318 (H,wt=14): 513 x * y != z * u | z \ (x * y) = u. [para(11(a,1),297(a,1,1))]. given #319 (H,wt=14): 517 x * y != z | x \ (u * (u \ z)) = y. [para(78(a,1),297(a,1)),flip(a)]. given #320 (H,wt=14): 526 (x / y) \ x != z * u | y / u = z. [para(177(a,2),298(a,1))]. given #321 (H,wt=14): 535 (x / (y \ x)) \ z != u | y \ z = u. [para(168(a,2),311(a,1,1))]. given #322 (H,wt=14): 560 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(295,a,458,a),flip(a)]. given #323 (H,wt=14): 569 K(x,1 / x) * L(x,1 / x,x) = x. [hyper(131,a,498,a)]. given #324 (H,wt=14): 570 (x / (y \ x)) * z != u | y * z = u. [para(168(a,2),512(a,1,1))]. given #325 (H,wt=14): 571 ((x / y) \ x) * z != u | y * z = u. [para(177(a,2),512(a,1,1))]. given #326 (H,wt=15): 208 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(108(a,1),16(a,2,1)),flip(a)]. given #327 (H,wt=15): 214 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),108(a,1,2))]. given #328 (H,wt=15): 215 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),108(a,1,2))]. given #329 (H,wt=15): 216 x * y != z | y * u != z | T(x,y) = u. [para(108(a,1),33(a,1))]. given #330 (H,wt=12): 595 L(T(x,y),y,x) = T(x,x * y). [hyper(216,a,202,a(flip),b,92,a),flip(a)]. given #331 (H,wt=12): 596 T(L(x,y,x),y) = T(x,x * y). [hyper(62,a,25,a(flip),b,595,a)]. given #332 (H,wt=13): 594 T(x / y,(z / y) \ z) = y \ x. [hyper(216,a,314,a,b,313,a)]. given #333 (H,wt=14): 598 x * T(y,y * x) = L(y,x,y) * x. [para(595(a,1),214(a,1,2))]. given #334 (H,wt=14): 600 (x * T(y,y * x)) / x = L(y,x,y). [hyper(244,a,596,a)]. given #335 (H,wt=14): 601 T((x * y) / x,y * x) = L(y,x,y). [hyper(39,a,243,a,b,596,a)]. given #336 (H,wt=15): 224 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(110(a,1),25(a,1,1)),flip(a)]. given #337 (H,wt=15): 225 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(110(a,1),27(a,1,1)),flip(a)]. given #338 (H,wt=14): 611 T(x / (y * x),y) = R(y \ 1,y,x). [para(197(a,1),225(a,1,1))]. given #339 (H,wt=15): 247 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(25(a,2),205(a,1,2,2))]. given #340 (H,wt=15): 277 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(85(a,1),174(a,1,1))]. given #341 (H,wt=15): 278 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(234,a,109,a),flip(a)]. given #342 (H,wt=15): 279 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(61,a,109,a)]. given #343 (H,wt=15): 280 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(59,a,109,a)]. given #344 (H,wt=15): 281 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(57,a,109,a)]. given #345 (H,wt=15): 282 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(56,a,109,a)]. given #346 (H,wt=15): 283 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(109(a,1),23(a,1,1)),flip(a)]. given #347 (H,wt=15): 287 ((x * y) / z) * z = ((x / u) * u) * y. [hyper(286,a,12,a,b,142,a)]. given #348 (H,wt=15): 289 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(286,a,10,a,b,145,a)]. given #349 (H,wt=15): 326 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(240(a,1),313(a,1,1,1))]. given #350 (H,wt=15): 328 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(240(a,1),314(a,1,2,1))]. given #351 (H,wt=15): 380 x / y != x * z | L(z \ 1,z,x) = y. [para(356(a,1),44(a,1)),flip(a)]. given #352 (H,wt=15): 382 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(356(a,1),303(a,1,1)),flip(b)]. given #353 (H,wt=15): 385 x / (y * x) != z | R(1 / y,y,x) = z. [para(362(a,1),258(a,1,2))]. given #354 (H,wt=15): 386 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(9(a,1),86(a,2,1)),flip(a)]. given #355 (H,wt=11): 630 K(x \ (x * y),x) = K(y,x). [hyper(286,a,86,a(flip),b,386,a)]. given #356 (H,wt=11): 631 K(x \ (x * y),z) = K(y,z). [para(66(a,1),630(a,1,1)),flip(a)]. given #357 (H,wt=11): 632 K((x / y) \ x,z) = K(y,z). [para(178(a,2),630(a,1,1))]. given #358 (H,wt=15): 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(108(a,2),86(a,1,2))]. given #359 (H,wt=15): 394 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(115,a,109,a(flip),b,12,a)]. given #360 (H,wt=15): 397 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),213(a,1,2,1))]. given #361 (H,wt=15): 400 T(x / y,z) * y = y * T(y \ x,z). [para(110(a,1),213(a,1,2,1)),flip(a)]. given #362 (H,wt=15): 401 T((x * y) / x,z) * x = x * T(y,z). [para(203(a,1),213(a,1,2,1)),flip(a)]. given #363 (H,wt=15): 404 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(244,a,223,a)]. given #364 (H,wt=12): 638 T(x / y,y) != z | y \ x = z. [para(404(a,1),257(a,1)),flip(b)]. given #365 (H,wt=14): 640 T(x,x \ y) != z | (x \ y) \ y = z. [para(73(a,1),638(a,1,1))]. given #366 (H,wt=15): 408 T((x * y) / x,z) = (x * T(y,z)) / x. [hyper(244,a,243,a),flip(a)]. given #367 (H,wt=15): 453 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(94(a,2),305(a,1))]. given #368 (H,wt=15): 456 L(x,y,z) != z | y \ T(z * y,z) = x. [para(442(a,1),49(a,1)),flip(a)]. given #369 (H,wt=15): 539 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(354(a,1),163(a,1,2))]. given #370 (H,wt=15): 558 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(444(a,1),163(a,1,2))]. given #371 (H,wt=13): 649 T(x * y,(x \ 1) \ y) = x * y. [hyper(53,a,558,a)]. given #372 (H,wt=15): 621 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(513,a,282,a)]. given #373 (H,wt=15): 645 T((x * y) / x,T(y,z)) = (x * y) / x. [para(164(a,1),408(a,2,1,2))]. given #374 (H,wt=16): 81 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. given #375 (H,wt=16): 93 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. given #376 (H,wt=16): 95 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. given #377 (H,wt=16): 96 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. given #378 (H,wt=16): 101 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. given #379 (H,wt=16): 103 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(10(a,1),20(a,2,2)),flip(a)]. given #380 (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 #381 (H,wt=16): 137 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(25(a,2),48(a,1)),flip(a)]. given #382 (H,wt=16): 138 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),48(a,1)),flip(a)]. given #383 (H,wt=16): 139 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),49(a,1))]. given #384 (H,wt=16): 141 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),50(a,1))]. given #385 (H,wt=16): 172 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),73(a,1,2))]. given #386 (H,wt=16): 183 L(x,y,z) != (u \ u) * L(w,y,z) | w = x. [para(160(a,2),49(a,1)),flip(a)]. given #387 (H,wt=16): 184 R(x,y,z) != (u \ u) * R(w,y,z) | w = x. [para(160(a,2),50(a,1)),flip(a)]. given #388 (H,wt=16): 198 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(75(a,1),14(a,2,1)),flip(a)]. given #389 (H,wt=15): 667 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(457(a,1),198(a,1,2))]. given #390 (H,wt=16): 210 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(108(a,1),18(a,2,2,2)),flip(a)]. given #391 (H,wt=16): 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(85(a,1),20(a,2,1)),flip(a)]. given #392 (H,wt=16): 323 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),290(a,1,1))]. given #393 (H,wt=16): 332 R(x,y / z,z) * y = (x * (y / z)) * z. [para(20(a,2),324(a,1,1))]. given #394 (H,wt=16): 355 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(60,a,195,a)]. given #395 (H,wt=16): 359 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(195(a,1),25(a,2,1)),flip(a)]. given #396 (H,wt=16): 361 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(56,a,197,a)]. given #397 (H,wt=16): 365 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(197(a,1),27(a,2,1)),flip(a)]. given #398 (H,wt=16): 368 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(108(a,1),217(a,2))]. given #399 (H,wt=16): 369 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(145(a,2),217(a,2)),flip(a)]. given #400 (H,wt=16): 371 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),218(a,1,2))]. given #401 (H,wt=16): 372 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),230(a,1,2))]. given #402 (H,wt=16): 373 x * ((1 / y) * y) != z * u | z \ x = u. [para(12(a,2),230(a,1,2))]. given #403 (H,wt=16): 375 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),262(a,1,2))]. given #404 (H,wt=16): 389 x * K(y \ x,y) != z | (y \ x) * y = z. [para(86(a,1),232(a,1,2)),flip(b)]. given #405 (H,wt=16): 396 ((1 / x) * x) * y != z * u | y / u = z. [para(196(a,1),43(a,1))]. given #406 (H,wt=16): 399 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(213(a,1),42(a,1))]. given #407 (H,wt=16): 405 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(223(a,1),48(a,1))]. given #408 (H,wt=16): 409 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(243(a,1),48(a,2)),flip(b)]. given #409 (H,wt=16): 414 (x \ y) * x != y * z | K(x \ y,x) = z. [para(271(a,1),42(a,1))]. given #410 (H,wt=16): 415 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),301(a,1,2)),flip(b)]. given #411 (H,wt=16): 417 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),301(a,1,2)),flip(b)]. given #412 (H,wt=16): 423 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(116,a,202,a(flip),b,92,a)]. given #413 (H,wt=16): 425 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(62,a,143,a(flip),b,92,a)]. given #414 (H,wt=16): 426 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(62,a,142,a(flip),b,92,a)]. given #415 (H,wt=14): 689 L(x \ y,x,y / x) = T(y / x,y). [hyper(216,a,145,a(flip),b,426,a),flip(a)]. given #416 (H,wt=16): 445 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(286,a,147,a(flip),b,94,a),flip(a)]. given #417 (H,wt=16): 447 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),94(a,2,1))]. given #418 (H,wt=16): 450 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(108(a,1),94(a,2,2))]. given #419 (H,wt=12): 694 K(x,y) = L(x \ T(x,y),x,y). [hyper(286,a,16,a,b,450,a)]. given #420 (H,wt=15): 696 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(450(a,2),307(a,1))]. given #421 (H,wt=16): 452 x / L(y \ z,y,x / z) = (x / z) * y. [para(94(a,2),291(a,1,2))]. given #422 (H,wt=16): 459 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(115,a,143,a(flip),b,104,a)]. given #423 (H,wt=16): 479 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),105(a,2,1))]. given #424 (H,wt=16): 480 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(10(a,1),105(a,2,2))]. given #425 (H,wt=16): 481 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),105(a,2,2))]. given #426 (H,wt=16): 495 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),173(a,1,1,2))]. given #427 (H,wt=16): 503 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [hyper(62,a,202,a(flip),b,237,a),flip(a)]. given #428 (H,wt=16): 510 x * (y * (y \ 1)) != z * u | x / u = z. [para(10(a,2),508(a,1,2))]. given #429 (H,wt=16): 511 (x * (x \ 1)) * y != z * u | y / u = z. [para(10(a,2),509(a,1,1))]. given #430 (H,wt=16): 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(174(a,1),297(a,1,1))]. given #431 (H,wt=16): 521 (x * (x \ 1)) * y != z * u | z \ y = u. [para(10(a,2),515(a,1,1))]. given #432 (H,wt=16): 523 x * T(y,x) != z * u | (y * x) / u = z. [para(22(a,2),298(a,1,2))]. given #433 (H,wt=16): 527 x \ (y * x) != z * u | z \ T(y,x) = u. [para(108(a,1),299(a,1,2))]. given #434 (H,wt=16): 528 x \ (y * 1) != z * u | z \ (x \ y) = u. [para(153(a,1),299(a,1,2))]. given #435 (H,wt=16): 532 x * (y * T(z,y)) != u | x * (z * y) = u. [para(22(a,2),300(a,1,2,2))]. given #436 (H,wt=16): 533 x * (y * z) != u | x * (z * T(y,z)) = u. [para(205(a,1),300(a,1,2,2))]. given #437 (H,wt=16): 538 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(108(a,2),329(a,1))]. given #438 (H,wt=16): 562 R(x / y,y,x \ z) \ z = y * (x \ z). [para(10(a,1),460(a,1,2))]. given #439 (H,wt=16): 564 T((x * y) / x,x) != z * u | y / u = z. [para(110(a,2),489(a,1))]. given #440 (H,wt=16): 612 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(105(a,1),225(a,1,1))]. given #441 (H,wt=16): 614 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(478(a,1),225(a,1,1)),flip(a)]. given #442 (H,wt=16): 615 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(560(a,1),225(a,1,1)),flip(a)]. given #443 (H,wt=16): 616 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(611(a,1),108(a,1,2)),flip(a)]. given #444 (H,wt=16): 641 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(174(a,1),638(a,1,1))]. given #445 (H,wt=16): 652 x / a(y,y \ 1,x) = y * ((y \ 1) * x). [hyper(116,a,67,a(flip),b,81,a)]. given #446 (H,wt=15): 712 x / a(y,y \ 1,x) = L(x,y \ 1,y). [hyper(286,a,235,a(flip),b,652,a),flip(a)]. given #447 (H,wt=15): 713 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [hyper(175,a,712,a)]. given #448 (H,wt=16): 654 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(68(a,1),81(a,1,1))]. given #449 (H,wt=15): 716 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(286,a,458,a(flip),b,654,a),flip(a)]. given #450 (H,wt=15): 717 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [hyper(115,a,458,a(flip),b,654,a)]. given #451 (H,wt=16): 668 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(286,a,25,a(flip),b,210,a),flip(a)]. given #452 (H,wt=16): 677 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [hyper(131,a,355,a)]. given #453 (H,wt=16): 679 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(233,a,361,a),flip(a)]. given #454 (H,wt=16): 706 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(9(a,1),612(a,2,1)),flip(a)]. given #455 (H,wt=12): 729 T(R(x,y,x),y * x) = T(x,y). [para(706(a,2),243(a,1,1))]. given #456 (H,wt=12): 730 R(T(x,y * x),y,x) = T(x,y). [hyper(62,a,27,a,b,729,a)]. given #457 (H,wt=14): 734 R(T(x,y),y / x,x) = T(x,y / x). [para(12(a,1),730(a,1,1,2))]. given #458 (H,wt=12): 736 R(x,1 / x,x) = T(x,1 / x). [para(251(a,1),734(a,1,1))]. given #459 (H,wt=13): 737 T(x,1 / x) / x = x * (1 / x). [hyper(116,a,736,a(flip),b,457,a)]. given #460 (H,wt=13): 738 T(x,1 / x) / x = K(x,1 / x). [hyper(286,a,238,a,b,737,a),flip(a)]. given #461 (H,wt=15): 733 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(729(a,1),141(a,1)),flip(a)]. given #462 (H,wt=17): 111 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(23(a,1),25(a,1,1))]. given #463 (H,wt=17): 112 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 #464 (H,wt=17): 130 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(20(a,2),45(a,1))]. given #465 (H,wt=17): 261 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),232(a,1,2)),flip(b)]. given #466 (H,wt=17): 266 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),263(a,1,1)),flip(b)]. given #467 (H,wt=17): 284 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(109(a,1),25(a,1,1)),flip(a)]. given #468 (H,wt=17): 398 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),213(a,1,2,1))]. given #469 (H,wt=17): 435 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(92(a,1),42(a,1)),flip(a)]. given #470 (H,wt=17): 436 (x * y) * L(z,y,x) != x * u | y * z = u. [para(92(a,2),42(a,1))]. given #471 (H,wt=17): 439 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(92(a,1),301(a,1,2)),flip(b)]. given #472 (H,wt=17): 441 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(92(a,1),185(a,1))]. given #473 (H,wt=17): 471 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(104(a,1),43(a,1))]. given #474 (H,wt=17): 472 R(x,y,z) * (y * z) != u * z | x * y = u. [para(104(a,2),43(a,1))]. given #475 (H,wt=17): 473 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(104(a,1),227(a,1,1)),flip(b)]. given #476 (H,wt=17): 474 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(104(a,2),227(a,1,1)),flip(b)]. given #477 (H,wt=17): 482 R(x / y,y,z) != u / (y * z) | x * z = u. [para(105(a,2),45(a,1))]. given #478 (H,wt=17): 483 R(x,y,z) != (u * z) / (y * z) | u / y = x. [para(105(a,1),50(a,1)),flip(a)]. given #479 (H,wt=17): 500 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(235(a,1),42(a,1))]. given #480 (H,wt=17): 504 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(237(a,1),301(a,1,2)),flip(b)]. given #481 (H,wt=17): 534 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(235(a,1),300(a,1))]. given #482 (H,wt=17): 536 L((x \ y) \ 1,x \ y,x) != z | y \ x = z. [para(195(a,2),311(a,1))]. given #483 (H,wt=17): 548 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(381(a,1),44(a,1)),flip(a)]. given #484 (H,wt=17): 549 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(384(a,1),47(a,1)),flip(a)]. given #485 (H,wt=17): 550 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(384(a,1),258(a,1,2))]. given #486 (H,wt=17): 551 x \ L(y,x \ 1,x) != (x \ 1) * z | y = z. [para(393(a,2),42(a,1))]. given #487 (H,wt=17): 552 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(393(a,1),232(a,1,2)),flip(b)]. given #488 (H,wt=17): 563 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(460(a,1),258(a,1,2))]. given #489 (H,wt=17): 581 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),214(a,1,2,1))]. given #490 (H,wt=17): 583 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(110(a,1),214(a,1,2,1)),flip(a)]. given #491 (H,wt=17): 584 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(203(a,1),214(a,1,2,1)),flip(a)]. given #492 (H,wt=17): 591 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(110(a,1),215(a,1,2,1)),flip(a)]. given #493 (H,wt=17): 592 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(203(a,1),215(a,1,2,1)),flip(a)]. given #494 (H,wt=17): 608 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(244,a,224,a)]. given #495 (H,wt=16): 771 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(195(a,1),608(a,1,1,2))]. given #496 (H,wt=16): 776 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(694(a,2),608(a,1,1,2)),flip(a)]. given #497 (H,wt=17): 610 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(244,a,225,a)]. given #498 (H,wt=17): 626 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(12(a,1),382(a,1,1))]. given #499 (H,wt=17): 627 (x \ y) / y != z | R(1 / x,x,x \ y) = z. [para(10(a,1),385(a,1,2))]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 765 (0.00 of 6.65 sec). given #500 (H,wt=17): 646 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(408(a,1),108(a,1,2))]. given #501 (H,wt=17): 647 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(110(a,1),408(a,2,1,2))]. given #502 (H,wt=17): 658 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(95(a,1),157(a,1))]. given #503 (H,wt=17): 735 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(734(a,1),50(a,1)),flip(a)]. given #504 (H,wt=17): 739 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(286,a,27,a,b,112,a)]. given #505 (H,wt=17): 748 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(10(a,1),439(a,1,2,2))]. given #506 (H,wt=17): 750 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(69(a,1),439(a,1,2))]. given #507 (H,wt=17): 758 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(12(a,1),563(a,1,1))]. given #508 (H,wt=17): 761 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(127,a,584,a),flip(a)]. given #509 (H,wt=17): 767 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(127,a,592,a),flip(a)]. given #510 (H,wt=18): 82 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. given #511 (H,wt=18): 83 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),14(a,2,1,2)),flip(a)]. given #512 (H,wt=18): 84 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. given #513 (H,wt=18): 97 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(12(a,1),18(a,2,2))]. given #514 (H,wt=18): 102 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(10(a,1),20(a,2,1))]. given #515 (H,wt=18): 140 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),49(a,1))]. given #516 (H,wt=18): 209 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(108(a,1),18(a,2,1)),flip(a)]. given #517 (H,wt=18): 211 ((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 #518 (H,wt=18): 325 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(18(a,2),291(a,1,2))]. given #519 (H,wt=18): 360 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(195(a,1),30(a,1,1)),flip(a)]. given #520 (H,wt=17): 799 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(353(a,1),360(a,1,1)),flip(a)]. given #521 (H,wt=18): 366 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(197(a,1),31(a,1,1)),flip(a)]. given #522 (H,wt=18): 376 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),262(a,1,2))]. given #523 (H,wt=18): 377 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(27(a,2),262(a,1,2))]. given #524 (H,wt=18): 406 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(223(a,1),257(a,1,1,2)),flip(b)]. given #525 (H,wt=18): 407 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(223(a,1),262(a,1,2))]. given #526 (H,wt=18): 411 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(243(a,1),218(a,1,2))]. given #527 (H,wt=18): 412 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(243(a,1),257(a,1,1,2)),flip(b)]. given #528 (H,wt=18): 432 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),92(a,1,2))]. given #529 (H,wt=18): 437 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(108(a,1),92(a,1,1))]. given #530 (H,wt=18): 446 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(286,a,88,a(flip),b,94,a),flip(a)]. given #531 (H,wt=18): 449 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(108(a,1),94(a,2,1))]. given #532 (H,wt=18): 451 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(238(a,2),94(a,2,2))]. given #533 (H,wt=18): 461 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [hyper(115,a,10,a(flip),b,104,a)]. given #534 (H,wt=18): 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(62,a,202,a(flip),b,104,a)]. given #535 (H,wt=14): 811 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(33,a,215,a,b,462,a(flip))]. given #536 (H,wt=18): 468 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),104(a,1,1))]. given #537 (H,wt=18): 491 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(108(a,1),171(a,1,2,1))]. given #538 (H,wt=18): 499 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(62,a,202,a(flip),b,235,a),flip(a)]. given #539 (H,wt=18): 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),25(a,2,1))]. given #540 (H,wt=18): 507 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(76(a,1),268(a,1,1))]. given #541 (H,wt=18): 518 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(149(a,1),297(a,1,1))]. given #542 (H,wt=18): 519 (x \ y) * T(x,x \ y) != z * u | z \ y = u. [para(240(a,1),297(a,1,1))]. given #543 (H,wt=18): 525 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(152(a,1),298(a,1,2))]. given #544 (H,wt=18): 529 (x * y) \ (y * x) != z * u | z \ K(y,x) = u. [para(85(a,1),299(a,1,2))]. given #545 (H,wt=18): 542 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(358(a,1),25(a,2,1)),flip(a)]. given #546 (H,wt=18): 543 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(363(a,1),27(a,2,1)),flip(a)]. given #547 (H,wt=16): 818 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(638,a,543,a),flip(a)]. given #548 (H,wt=18): 545 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),374(a,1,2))]. given #549 (H,wt=18): 546 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(152(a,1),374(a,1,2))]. given #550 (H,wt=18): 554 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(443(a,1),25(a,2,1))]. given #551 (H,wt=17): 821 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(62,a,503,a(flip),b,554,a)]. given #552 (H,wt=18): 556 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(444(a,1),25(a,2,1))]. given #553 (H,wt=18): 567 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),490(a,1,1))]. given #554 (H,wt=18): 568 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(149(a,1),490(a,1,1))]. given #555 (H,wt=18): 572 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(143(a,2),513(a,1))]. given #556 (H,wt=18): 573 (x * (x \ y)) \ z != u * w | (y \ z) / w = u. [para(168(a,1),526(a,1,1))]. given #557 (H,wt=18): 574 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(560(a,1),27(a,2,1))]. given #558 (H,wt=18): 576 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(240(a,1),571(a,1,1,1))]. given #559 (H,wt=18): 578 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(62,a,92,a(flip),b,214,a)]. given #560 (H,wt=18): 579 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(115,a,214,a(flip),b,92,a(flip))]. given #561 (H,wt=18): 587 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(286,a,104,a(flip),b,215,a),flip(a)]. given #562 (H,wt=13): 829 (x * y) * T(y,x) = (y * x) * y. [para(730(a,1),587(a,1,2))]. given #563 (H,wt=13): 831 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(115,a,67,a(flip),b,829,a)]. given #564 (H,wt=13): 832 K(x \ 1,x) \ x = T(x,x \ 1). [para(236(a,2),831(a,1,1))]. given #565 (H,wt=13): 833 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,832,a),flip(a)]. given #566 (H,wt=13): 834 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(131,a,833,a)]. given #567 (H,wt=15): 830 (x * (y / x)) * x = y * T(x,y / x). [hyper(295,a,829,a),flip(a)]. given #568 (H,wt=18): 588 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(115,a,104,a(flip),b,215,a)]. given #569 (H,wt=18): 590 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(215(a,1),42(a,1))]. given #570 (H,wt=18): 597 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(595(a,1),29(a,1,1)),flip(a)]. given #571 (H,wt=18): 602 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(596(a,1),25(a,1,1)),flip(a)]. given #572 (H,wt=18): 603 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(10(a,1),598(a,1,2,2)),flip(a)]. given #573 (H,wt=18): 606 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(10(a,1),601(a,1,2))]. given #574 (H,wt=18): 607 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(601(a,1),23(a,1,1)),flip(a)]. given #575 (H,wt=18): 613 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(364(a,1),225(a,1,1)),flip(a)]. given #576 (H,wt=18): 617 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(278(a,2),300(a,1,2))]. given #577 (H,wt=18): 618 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(279(a,1),46(a,1))]. given #578 (H,wt=18): 625 x / ((y \ z) \ z) != u | x / T(y,y \ z) = u. [para(328(a,1),227(a,1,1)),flip(b)]. given #579 (H,wt=18): 634 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(394(a,1),535(a,1))]. given #580 (H,wt=18): 636 T(x,y) != (z * T(z \ u,y)) / z | u / z = x. [para(404(a,2),48(a,1)),flip(a)]. given #581 (H,wt=18): 637 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(404(a,1),263(a,1,1)),flip(b)]. given #582 (H,wt=18): 648 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(408(a,2),263(a,1,1)),flip(b)]. given #583 (H,wt=18): 651 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(116,a,143,a(flip),b,81,a)]. given #584 (H,wt=18): 653 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),81(a,1,1,2))]. given #585 (H,wt=18): 659 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(108(a,1),95(a,1,2,2)),flip(a)]. given #586 (H,wt=18): 672 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(62,a,215,a,b,323,a)]. given #587 (H,wt=18): 673 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(115,a,323,a(flip),b,215,a)]. given #588 (H,wt=18): 682 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),375(a,1,2,1))]. given #589 (H,wt=18): 683 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(108(a,2),415(a,1,2))]. given #590 (H,wt=18): 685 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(62,a,214,a(flip),b,425,a),flip(a)]. given #591 (H,wt=18): 690 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(62,a,214,a(flip),b,426,a),flip(a)]. given #592 (H,wt=18): 697 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(10(a,1),459(a,1,2))]. given #593 (H,wt=18): 698 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(12(a,1),459(a,1,2))]. given #594 (H,wt=18): 714 L(x,y \ 1,y) \ x != z | a(y,y \ 1,x) = z. [para(712(a,1),303(a,1,1)),flip(b)]. given #595 (H,wt=18): 719 R(x,y,y \ 1) != x * z | a(x,y,y \ 1) = z. [para(716(a,1),42(a,1))]. given #596 (H,wt=18): 720 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(716(a,1),301(a,1,2)),flip(b)]. given #597 (H,wt=18): 722 x * a(x,y,y \ 1) != z | R(x,y,y \ 1) = z. [para(717(a,1),232(a,1,2)),flip(b)]. given #598 (H,wt=18): 724 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(12(a,1),668(a,1,1)),flip(a)]. given #599 (H,wt=18): 726 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(10(a,1),679(a,1,1,2))]. given #600 (H,wt=18): 728 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(706(a,2),108(a,1,2)),flip(a)]. given #601 (H,wt=18): 772 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(94(a,1),608(a,1,1,2))]. given #602 (H,wt=18): 773 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),608(a,1,1,2)),flip(a)]. given #603 (H,wt=18): 775 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(443(a,1),608(a,1,1,2))]. given #604 (H,wt=18): 790 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(62,a,560,a(flip),b,767,a),flip(a)]. given #605 (H,wt=18): 810 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(34,a,401,a,b,462,a)]. given #606 (H,wt=18): 835 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(830(a,1),83(a,1,2))]. given #607 (H,wt=18): 837 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(286,a,25,a(flip),b,602,a),flip(a)]. given #608 (H,wt=18): 839 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(286,a,25,a,b,607,a),flip(a)]. given #609 (H,wt=18): 850 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(30(a,1),837(a,1,1))]. given #610 (H,wt=19): 134 x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x. [para(14(a,2),47(a,1)),flip(a)]. given #611 (H,wt=19): 260 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(14(a,2),232(a,1,2)),flip(b)]. given #612 (H,wt=19): 402 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(109(a,1),213(a,1,2,1))]. given #613 (H,wt=19): 403 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(222(a,1),213(a,1,2,1)),flip(a)]. given #614 (H,wt=19): 427 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(116,a,92,a(flip),b,108,a)]. given #615 (H,wt=19): 428 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(115,a,92,a(flip),b,108,a)]. given #616 (H,wt=19): 476 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(104(a,2),217(a,2)),flip(a)]. given #617 (H,wt=19): 537 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(94(a,2),311(a,1))]. given #618 (H,wt=19): 565 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(357(a,1),489(a,1,2))]. given #619 (H,wt=19): 577 ((x * y) \ x) * z != u | L(y \ 1,y,x) * z = u. [para(356(a,1),571(a,1,1,1))]. given #620 (H,wt=19): 589 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),215(a,1,2,1))]. given #621 (H,wt=19): 628 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(108(a,1),385(a,1,2))]. given #622 (H,wt=19): 633 K(x \ T(y,y \ z),u) = K(x \ ((y \ z) \ z),u). [para(278(a,2),631(a,1,1,2)),flip(a)]. given #623 (H,wt=19): 655 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(81(a,1),301(a,1,2)),flip(b)]. given #624 (H,wt=19): 661 L(x,y / x,z) != u \ (z * y) | z * (y / x) = u. [para(96(a,2),47(a,1))]. given #625 (H,wt=19): 663 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(103(a,1),263(a,1,1)),flip(b)]. given #626 (H,wt=19): 669 L(T(x,y),y,z) != u \ (z * (x * y)) | z * y = u. [para(210(a,1),47(a,1))]. given #627 (H,wt=19): 674 ((x * y) * (y \ z)) / z != u | R(x,y,y \ z) = u. [para(323(a,1),227(a,1,1)),flip(b)]. given #628 (H,wt=19): 675 ((x * (y / z)) * z) / y != u | R(x,y / z,z) = u. [para(332(a,1),227(a,1,1)),flip(b)]. given #629 (H,wt=19): 684 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(423(a,1),303(a,1,1)),flip(b)]. given #630 (H,wt=19): 687 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(425(a,1),42(a,1))]. given #631 (H,wt=19): 688 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(425(a,1),301(a,1,2)),flip(b)]. given #632 (H,wt=19): 699 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(459(a,1),258(a,1,2))]. given #633 (H,wt=19): 704 x / L(y,z / y,u) != u * (z / y) | u * z = x. [para(495(a,1),45(a,1)),flip(a)]. given #634 (H,wt=19): 705 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(237(a,1),532(a,1))]. given #635 (H,wt=19): 725 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(677(a,1),42(a,1)),flip(a)]. given #636 (H,wt=19): 727 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(706(a,2),48(a,1)),flip(a)]. given #637 (H,wt=19): 754 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(108(a,1),441(a,1,2))]. given #638 (H,wt=19): 780 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(110(a,1),646(a,1,2,1,2)),flip(a)]. given #639 (H,wt=19): 782 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(244,a,647,a)]. given #640 (H,wt=19): 783 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(647(a,1),205(a,1,2,2))]. given #641 (H,wt=19): 784 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(110(a,1),739(a,1,1,1)),flip(a)]. given #642 (H,wt=19): 812 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(811(a,1),462(a,1,1)),flip(a)]. given #643 (H,wt=15): 863 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(216,a,812,a,b,xx)]. given #644 (H,wt=19): 820 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(658,a,554,a)]. given #645 (H,wt=19): 822 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(115,a,554,a(flip),b,237,a)]. given #646 (H,wt=17): 865 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(8(a,1),822(a,1,2,1))]. given #647 (H,wt=19): 823 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(62,a,499,a(flip),b,556,a)]. given #648 (H,wt=19): 824 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(115,a,556,a(flip),b,235,a),flip(a)]. given #649 (H,wt=17): 871 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),824(a,2,2,1))]. given #650 (H,wt=13): 873 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(62,a,402,a(flip),b,871,a)]. given #651 (H,wt=19): 825 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(115,a,556,a(flip),b,499,a(flip))]. given #652 (H,wt=19): 826 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(116,a,574,a(flip),b,458,a)]. given #653 (H,wt=19): 859 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),782(a,1,1,2,1,2))]. given #654 (H,wt=19): 866 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(10(a,1),822(a,1,2,1)),flip(a)]. given #655 (H,wt=19): 869 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(682,a,824,a),flip(a)]. given #656 (H,wt=19): 870 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(121,a,824,a)]. given #657 (H,wt=19): 872 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),824(a,2,2,1))]. given #658 (H,wt=19): 874 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(10(a,1),825(a,1,2,1)),flip(a)]. given #659 (H,wt=19): 875 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(286,a,400,a(flip),b,826,a),flip(a)]. given #660 (H,wt=17): 881 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(7(a,1),875(a,1,1,1))]. given #661 (H,wt=19): 878 T((x \ y) / (x \ 1),z) = (x \ T(y,z)) / (x \ 1). [hyper(116,a,872,a(flip),b,400,a),flip(a)]. given #662 (H,wt=19): 880 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(129,a,875,a)]. given #663 (H,wt=19): 883 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(9(a,1),880(a,1,1,2,1)),flip(a)]. given #664 (H,wt=17): 884 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(107(a,1),883(a,2,1,2))]. given #665 (H,wt=11): 885 K((x * y) * (x \ 1),y) = 1. [hyper(54,a,884,a)]. given #666 (H,wt=11): 886 K(((1 / x) * y) * x,y) = 1. [para(76(a,1),885(a,1,1,2))]. given #667 (H,wt=11): 887 K(x * y,(1 / y) \ x) = 1. [para(10(a,1),886(a,1,1,1))]. given #668 (H,wt=13): 888 T(x * y,(1 / y) \ x) = x * y. [hyper(55,a,887,a)]. given #669 (H,wt=20): 206 (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 #670 (H,wt=20): 207 (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 #671 (H,wt=20): 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),18(a,2,2,2)),flip(a)]. given #672 (H,wt=20): 370 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(314(a,1),217(a,2))]. given #673 (H,wt=20): 379 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(201(a,1),304(a,1,2))]. given #674 (H,wt=20): 413 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),18(a,2,2,2)),flip(a)]. given #675 (H,wt=20): 433 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),92(a,1,2))]. given #676 (H,wt=20): 434 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),92(a,1,2))]. given #677 (H,wt=20): 440 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(236(a,2),92(a,1,1))]. given #678 (H,wt=20): 465 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(115,a,104,a(flip),b,92,a)]. given #679 (H,wt=20): 469 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): 470 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 / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(220(a,1),105(a,2,2))]. given #682 (H,wt=20): 492 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(85(a,1),171(a,1,2,1))]. given #683 (H,wt=20): 496 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(85(a,1),173(a,1,1,2))]. given #684 (H,wt=20): 502 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(115,a,30,a,b,237,a)]. given #685 (H,wt=19): 899 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(353(a,1),502(a,1,2,1))]. given #686 (H,wt=20): 506 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(268(a,1),30(a,1,1)),flip(a)]. given #687 (H,wt=20): 524 ((x \ y) * x) * K(x,x \ y) != z * u | y / u = z. [para(85(a,2),298(a,1))]. given #688 (H,wt=20): 547 x * K(y,x / y) != z * u | z \ (y * (x / y)) = u. [para(88(a,1),374(a,1,2))]. given #689 (H,wt=20): 555 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(443(a,1),29(a,1,1)),flip(a)]. given #690 (H,wt=20): 557 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(444(a,1),29(a,1,1)),flip(a)]. given #691 (H,wt=20): 559 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(116,a,31,a,b,457,a)]. given #692 (H,wt=20): 561 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(116,a,29,a(flip),b,458,a)]. given #693 (H,wt=20): 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(560(a,1),31(a,1,1)),flip(a)]. given #694 (H,wt=20): 604 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(108(a,1),598(a,1,2,2)),flip(a)]. given #695 (H,wt=20): 609 x * L(x \ y,z,u) != w | L(y / x,z,u) * x = w. [para(224(a,1),262(a,1,2))]. given #696 (H,wt=20): 642 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(240(a,1),638(a,1,1))]. given #697 (H,wt=20): 644 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(109(a,2),640(a,1,2))]. given #698 (H,wt=20): 662 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(10(a,1),101(a,2,2))]. given #699 (H,wt=20): 691 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(445(a,1),25(a,2,1))]. given #700 (H,wt=20): 695 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(450(a,1),25(a,2,1))]. given #701 (H,wt=20): 700 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(481(a,1),27(a,2,1))]. given #702 (H,wt=18): 908 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(71(a,1),700(a,2,1))]. given #703 (H,wt=19): 910 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(116,a,908,a(flip),b,457,a),flip(a)]. given #704 (H,wt=17): 914 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(7(a,1),910(a,2,1,1))]. given #705 (H,wt=13): 917 (1 / x) * T(x,y) = T(x,y) / x. [hyper(62,a,403,a(flip),b,914,a)]. given #706 (H,wt=13): 918 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(116,a,914,a(flip),b,403,a(flip))]. given #707 (H,wt=17): 916 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(637,a,914,a)]. given #708 (H,wt=17): 920 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(216,a,917,a,b,10,a),flip(a)]. given #709 (H,wt=17): 921 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(62,a,281,a(flip),b,917,a),flip(a)]. given #710 (H,wt=17): 926 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(109(a,1),921(a,1,1)),flip(a)]. given #711 (H,wt=18): 925 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(626,a,920,a)]. given #712 (H,wt=19): 911 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(648,a,910,a),flip(a)]. given #713 (H,wt=19): 912 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(637,a,910,a)]. given #714 (H,wt=19): 913 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(115,a,910,a(flip),b,400,a(flip))]. given #715 (H,wt=19): 915 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(110(a,1),910(a,1,1)),flip(a)]. given #716 (H,wt=19): 928 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [para(12(a,1),913(a,1,2,1,1)),flip(a)]. given #717 (H,wt=20): 703 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(481(a,1),225(a,1,1)),flip(a)]. given #718 (H,wt=20): 707 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(612(a,1),223(a,1,1))]. given #719 (H,wt=20): 715 a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). [para(444(a,1),713(a,1,1)),flip(a)]. given #720 (H,wt=20): 723 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(311,a,668,a),flip(a)]. given #721 (H,wt=20): 770 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(608(a,1),263(a,1,1)),flip(b)]. given #722 (H,wt=20): 779 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(610(a,1),263(a,1,1)),flip(b)]. given #723 (H,wt=20): 791 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(767(a,2),263(a,1,1)),flip(b)]. given #724 (H,wt=18): 931 R(x,y,z) * u != w | u * R(T(x,u),y,z) = w. [para(204(a,1),791(a,1,1,1))]. given #725 (H,wt=20): 792 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(197(a,1),767(a,2,1,2))]. given #726 (H,wt=20): 816 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(22(a,2),525(a,1,2,2))]. given #727 (H,wt=20): 848 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(12(a,1),773(a,2,1,2,1))]. given #728 (H,wt=20): 862 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(105(a,1),784(a,1,1,1))]. given #729 (H,wt=20): 895 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(286,a,145,a(flip),b,440,a),flip(a)]. given #730 (H,wt=20): 919 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(914(a,1),637(a,1))]. given #731 (H,wt=20): 922 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(917(a,1),217(a,2)),flip(a)]. given #732 (H,wt=20): 923 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(917(a,1),570(a,1))]. given #733 (H,wt=21): 383 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(357(a,1),18(a,2,2,2))]. given #734 (H,wt=21): 410 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(109(a,1),243(a,1,1))]. given #735 (H,wt=21): 485 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(197(a,2),105(a,1,1))]. given #736 (H,wt=21): 514 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(20(a,2),297(a,1,1))]. given #737 (H,wt=21): 520 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(173(a,1),297(a,1,1))]. given #738 (H,wt=21): 522 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(18(a,2),298(a,1,2))]. given #739 (H,wt=21): 530 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(92(a,1),299(a,1,2))]. given #740 (H,wt=21): 531 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(104(a,1),299(a,1,2))]. given #741 (H,wt=21): 544 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(363(a,2),105(a,1,1))]. given #742 (H,wt=21): 553 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(424(a,1),374(a,1,2))]. given #743 (H,wt=21): 566 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(104(a,1),489(a,1,2))]. given #744 (H,wt=21): 582 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),214(a,1,2,1))]. given #745 (H,wt=20): 935 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(597(a,1),582(a,1,2))]. given #746 (H,wt=21): 593 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(109(a,1),215(a,1,2,1))]. given #747 (H,wt=17): 936 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(33,a,215,a,b,593,a)]. given #748 (H,wt=21): 605 L(x,y,x) * y != z * u | (y * T(x,x * y)) / u = z. [para(600(a,1),490(a,1,1))]. given #749 (H,wt=21): 629 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(238(a,2),385(a,1,2))]. given #750 (H,wt=21): 650 (x * (y * (y \ 1))) * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(286,a,458,a(flip),b,81,a),flip(a)]. given #751 (H,wt=21): 678 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(359(a,2),92(a,1,2))]. given #752 (H,wt=21): 740 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(25(a,1),261(a,1,2))]. given #753 (H,wt=21): 743 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(27(a,1),266(a,1,1))]. given #754 (H,wt=21): 746 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(108(a,1),266(a,1,2))]. given #755 (H,wt=21): 749 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(108(a,1),439(a,1,1))]. given #756 (H,wt=21): 769 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(76(a,1),608(a,1,1,2,1))]. given #757 (H,wt=21): 778 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(76(a,1),610(a,1,1,2,1))]. given #758 (H,wt=21): 798 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(286,a,94,a(flip),b,360,a),flip(a)]. given #759 (H,wt=21): 803 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(425(a,1),376(a,1))]. given #760 (H,wt=21): 806 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(595(a,1),432(a,1,2,1))]. given #761 (H,wt=17): 941 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(375,a,806,a),flip(a)]. given #762 (H,wt=15): 942 T(x,y) * (x * z) = x * (T(x,y) * z). [para(213(a,1),941(a,1,2)),flip(a)]. given #763 (H,wt=13): 952 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,68,a(flip),b,942,a),flip(a)]. given #764 (H,wt=13): 957 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(127,a,952,a)]. given #765 (H,wt=13): 958 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(121,a,952,a)]. given #766 (H,wt=15): 943 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(546,a,942,a)]. given #767 (H,wt=15): 944 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(545,a,942,a),flip(a)]. given #768 (H,wt=15): 946 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(300,a,942,a),flip(a)]. given #769 (H,wt=15): 947 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(286,a,145,a(flip),b,942,a),flip(a)]. given #770 (H,wt=13): 969 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(368,a,947,a),flip(a)]. given #771 (H,wt=15): 949 (x * y) / (x * (T(x,z) \ y)) = T(x,z). [hyper(116,a,145,a(flip),b,942,a)]. given #772 (H,wt=15): 950 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(115,a,145,a(flip),b,942,a)]. given #773 (H,wt=15): 951 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(115,a,69,a(flip),b,942,a),flip(a)]. given #774 (H,wt=15): 967 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(121,a,944,a)]. given #775 (H,wt=16): 961 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(952(a,1),301(a,1,2)),flip(b)]. given #776 (H,wt=16): 966 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(943(a,1),305(a,1))]. given #777 (H,wt=17): 945 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(532,a,942,a),flip(a)]. given #778 (H,wt=17): 964 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(957(a,1),878(a,1,1)),flip(a)]. given #779 (H,wt=17): 974 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(110(a,1),969(a,1,2,1))]. given #780 (H,wt=15): 984 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(110(a,1),974(a,2,2))]. given #781 (H,wt=17): 983 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(129,a,964,a)]. given #782 (H,wt=17): 985 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),984(a,1,2,1))]. given #783 (H,wt=13): 987 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),985(a,2,2)),flip(a)]. given #784 (H,wt=13): 988 T(x,y) / (y \ x) = (x * y) / x. [hyper(116,a,987,a,b,xx)]. given #785 (H,wt=13): 989 ((x * y) / x) \ T(x,y) = y \ x. [hyper(115,a,987,a,b,xx)]. given #786 (H,wt=15): 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(76(a,1),987(a,2,2)),flip(a)]. given #787 (H,wt=15): 997 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(62,a,780,a(flip),b,991,a)]. given #788 (H,wt=15): 998 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(115,a,991,a(flip),b,780,a(flip))]. given #789 (H,wt=13): 1001 T(x \ T(y,y / x),y) = x \ y. [para(998(a,2),203(a,1,1))]. given #790 (H,wt=15): 1004 T(x \ T(y,y / x),y) = T(y / x,x). [hyper(286,a,110,a,b,1001,a),flip(a)]. given #791 (H,wt=13): 1006 T(T(x,x / y) / y,x) = x / y. [hyper(405,a,1004,a)]. given #792 (H,wt=15): 1005 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(73(a,1),1001(a,1,1,2,2))]. given #793 (H,wt=16): 992 x \ T(y,z) != z \ y | (y * z) / y = x. [para(987(a,2),133(a,1,2))]. given #794 (H,wt=16): 993 T(x,y) / (y \ x) != z | (x * y) / x = z. [para(987(a,2),227(a,1,1)),flip(b)]. given #795 (H,wt=17): 990 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(12(a,1),987(a,2,1,1)),flip(a)]. given #796 (H,wt=17): 996 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(9(a,1),988(a,1,2)),flip(a)]. given #797 (H,wt=13): 1008 T(T(x * y,x) / y,x * y) = x. [para(996(a,1),203(a,1,1))]. given #798 (H,wt=16): 1009 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(996(a,1),810(a,1,1))]. given #799 (H,wt=14): 1011 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(638,a,1009,a)]. given #800 (H,wt=17): 999 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(76(a,1),997(a,1,2,1,2))]. given #801 (H,wt=17): 1012 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(204(a,1),999(a,1,2)),flip(a)]. given #802 (H,wt=18): 954 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(942(a,2),42(a,1))]. given #803 (H,wt=18): 968 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(946(a,1),42(a,1))]. given #804 (H,wt=18): 972 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(947(a,1),42(a,1)),flip(a)]. given #805 (H,wt=18): 973 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(947(a,1),301(a,1,2)),flip(b)]. given #806 (H,wt=16): 1013 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(8(a,1),973(a,1,2))]. given #807 (H,wt=16): 1014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(212(a,1),973(a,1))]. given #808 (H,wt=18): 976 T(x,y) \ (x \ z) != x \ u | T(x,y) \ z = u. [para(967(a,2),46(a,1))]. given #809 (H,wt=18): 977 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(967(a,1),232(a,1,2)),flip(b)]. given #810 (H,wt=18): 978 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(967(a,2),232(a,1,2)),flip(b)]. given #811 (H,wt=18): 1002 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(998(a,1),232(a,1,2)),flip(b)]. given #812 (H,wt=18): 1015 T(x,y) * (x \ z) != u | x \ (T(x,y) * z) = u. [para(9(a,1),977(a,1,2,2))]. given #813 (H,wt=18): 1016 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(9(a,1),978(a,1,2,2))]. given #814 (H,wt=19): 953 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),942(a,1,2)),flip(a)]. given #815 (H,wt=19): 959 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(116,a,952,a(flip),b,108,a)]. given #816 (H,wt=19): 960 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(110(a,1),952(a,1,2,1)),flip(a)]. given #817 (H,wt=17): 1018 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(110(a,1),960(a,1,1)),flip(a)]. given #818 (H,wt=15): 1019 (x \ 1) \ (1 / x) = ((x \ 1) \ 1) / x. [hyper(62,a,926,a(flip),b,1018,a),flip(a)]. given #819 (H,wt=19): 971 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(33,a,272,a,b,947,a),flip(a)]. given #820 (H,wt=17): 1022 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(920(a,1),971(a,1,2))]. given #821 (H,wt=19): 1007 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(116,a,203,a(flip),b,990,a),flip(a)]. given #822 (H,wt=19): 1017 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(400(a,1),953(a,1,2))]. given #823 (H,wt=20): 962 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(952(a,1),237(a,1,2)),flip(a)]. given #824 (H,wt=20): 963 x * (T(x,y) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(957(a,1),490(a,1,1))]. given #825 (H,wt=20): 980 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(402(a,2),966(a,1))]. given #826 (H,wt=20): 982 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(945(a,1),42(a,1))]. given #827 (H,wt=20): 1000 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(773(a,2),997(a,1,2))]. given #828 (H,wt=17): 1025 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(261,a,1000,a)]. given #829 (H,wt=21): 817 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(542(a,2),426(a,1,2)),flip(a)]. given #830 (H,wt=19): 1027 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(317(a,1),817(a,1,2))]. given #831 (H,wt=21): 819 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(543(a,2),323(a,1,1))]. given #832 (H,wt=21): 827 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(195(a,1),578(a,2,1)),flip(a)]. given #833 (H,wt=19): 1029 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(414,a,827,a)]. given #834 (H,wt=19): 1030 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(116,a,1029,a,b,400,a)]. given #835 (H,wt=21): 847 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(447(a,1),724(a,1,1)),flip(a)]. given #836 (H,wt=21): 853 ((x / y) * (y * z)) \ (x * z) != u | a(x / y,y,z) = u. [para(12(a,1),655(a,1,2,1))]. given #837 (H,wt=21): 882 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(881(a,1),110(a,1,1))]. given #838 (H,wt=21): 902 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(658,a,555,a)]. given #839 (H,wt=19): 1032 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(8(a,1),902(a,2,1))]. given #840 (H,wt=18): 1037 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(616(a,2),1032(a,1,2))]. given #841 (H,wt=17): 1038 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(286,a,197,a(flip),b,1037,a),flip(a)]. given #842 (H,wt=19): 1033 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(121,a,1032,a)]. given #843 (H,wt=19): 1035 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(33,a,716,a,b,1032,a),flip(a)]. given #844 (H,wt=21): 903 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(115,a,557,a(flip),b,235,a),flip(a)]. given #845 (H,wt=19): 1042 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(8(a,1),903(a,2,2,1))]. given #846 (H,wt=15): 1045 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(62,a,593,a(flip),b,1042,a)]. given #847 (H,wt=15): 1046 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(115,a,1042,a(flip),b,593,a(flip))]. given #848 (H,wt=17): 1047 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(115,a,717,a(flip),b,1045,a)]. given #849 (H,wt=19): 1048 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(116,a,1045,a(flip),b,215,a)]. given #850 (H,wt=21): 905 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(364(a,1),559(a,1,1,1)),flip(a)]. given #851 (H,wt=19): 1053 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(71(a,1),905(a,2,1,1))]. given #852 (H,wt=19): 1054 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(779,a,1053,a)]. given #853 (H,wt=15): 1055 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(76(a,1),1054(a,1,2,1))]. given #854 (H,wt=15): 1058 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(129,a,1055,a(flip))]. given #855 (H,wt=19): 1056 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(570,a,1055,a),flip(a)]. given #856 (H,wt=20): 1057 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(216,a,1055,a,b,10,a),flip(a)]. given #857 (H,wt=21): 906 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(560(a,1),561(a,1,1,1))]. given #858 (H,wt=21): 955 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),942(a,1,1)),flip(a)]. given #859 (H,wt=19): 1063 (x \ y) * ((y / x) * z) = (y / x) * ((x \ y) * z). [para(110(a,1),955(a,1,2,1)),flip(a)]. given #860 (H,wt=13): 1065 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(373,a,1063,a)]. given #861 (H,wt=13): 1067 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(189,a,1063,a),flip(a)]. given #862 (H,wt=13): 1068 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(286,a,236,a,b,1065,a),flip(a)]. given #863 (H,wt=13): 1071 (1 / x) * K(x \ 1,x) = x \ 1. [para(236(a,2),1067(a,1,2))]. given #864 (H,wt=14): 1069 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(754,a,1067,a)]. given #865 (H,wt=17): 1066 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(372,a,1063,a),flip(a)]. given #866 (H,wt=17): 1070 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(76(a,1),1067(a,1,2,1))]. given #867 (H,wt=13): 1078 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(286,a,76,a(flip),b,1070,a),flip(a)]. given #868 (H,wt=17): 1072 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(535,a,1068,a),flip(a)]. given #869 (H,wt=20): 1073 (1 / x) * K(x \ 1,x) != y * z | y \ (x \ 1) = z. [para(1068(a,1),374(a,1,2))]. given #870 (H,wt=20): 1077 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1066(a,1),42(a,1))]. given #871 (H,wt=21): 1020 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(9(a,1),1018(a,1,2,1)),flip(a)]. given #872 (H,wt=17): 1080 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(9(a,1),1020(a,1,1)),flip(a)]. given #873 (H,wt=21): 1021 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(76(a,1),1018(a,1,2,1)),flip(a)]. given #874 (H,wt=17): 1081 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(76(a,1),1021(a,1,1)),flip(a)]. given #875 (H,wt=21): 1026 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(121,a,817,a)]. given #876 (H,wt=15): 1082 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(683,a,1026,a)]. given #877 (H,wt=15): 1083 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(115,a,388,a(flip),b,1026,a(flip))]. given #878 (H,wt=15): 1085 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(286,a,916,a(flip),b,1082,a),flip(a)]. given #879 (H,wt=15): 1086 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(286,a,871,a(flip),b,1082,a),flip(a)]. given #880 (H,wt=15): 1087 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(116,a,1082,a,b,400,a)]. given #881 (H,wt=15): 1092 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(129,a,1085,a(flip)),flip(a)]. given #882 (H,wt=18): 1084 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1026(a,1),683(a,1))]. given #883 (H,wt=18): 1097 x \ T(x,y) != z | K(y \ (y / (x \ 1)),y) = z. [para(871(a,1),1084(a,1))]. given #884 (H,wt=19): 1094 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(110(a,1),1086(a,2,2))]. given #885 (H,wt=21): 1028 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(637,a,819,a),flip(a)]. given #886 (H,wt=21): 1062 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(286,a,583,a(flip),b,906,a),flip(a)]. given #887 (H,wt=19): 1100 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(7(a,1),1062(a,1,1,1))]. given #888 (H,wt=18): 1102 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(195(a,1),1100(a,2,2))]. given #889 (H,wt=17): 1105 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(195(a,1),1102(a,1,1))]. given #890 (H,wt=17): 1106 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(129,a,1105,a)]. given #891 (H,wt=18): 1103 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(175,a,1102,a)]. given #892 (H,wt=18): 1104 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(129,a,1102,a)]. given #893 (H,wt=21): 1076 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1069(a,1),502(a,1,2,1))]. given #894 (H,wt=19): 1110 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(286,a,214,a(flip),b,1076,a),flip(a)]. given #895 (H,wt=21): 1088 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(920(a,1),1082(a,1,1))]. given #896 (H,wt=21): 1095 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(203(a,1),1086(a,2,2))]. given #897 (H,wt=21): 1099 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(400(a,1),1028(a,1,1))]. given #898 (H,wt=19): 1114 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(317(a,1),1099(a,1,1))]. given #899 (H,wt=22): 113 ((1 / (x * y)) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). [para(32(a,1),20(a,2,1,1)),flip(a)]. given #900 (H,wt=22): 319 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(236(a,2),14(a,2,1,2)),flip(a)]. given #901 (H,wt=22): 416 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(271(a,1),217(a,2))]. given #902 (H,wt=22): 475 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),104(a,1,2))]. given #903 (H,wt=22): 585 L(x,y,z) * u != w * v5 | w \ (u * L(T(x,u),y,z)) = v5. [para(214(a,1),513(a,1))]. given #904 (H,wt=22): 586 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(214(a,2),513(a,1))]. given #905 (H,wt=22): 599 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(595(a,2),215(a,1,2,1))]. given #906 (H,wt=19): 1116 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(62,a,433,a(flip),b,599,a)]. given #907 (H,wt=17): 1117 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(215(a,1),1116(a,1,2)),flip(a)]. given #908 (H,wt=15): 1123 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(115,a,68,a(flip),b,1117,a),flip(a)]. given #909 (H,wt=17): 1118 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(546,a,1117,a)]. given #910 (H,wt=17): 1120 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(525,a,1117,a)]. given #911 (H,wt=17): 1121 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(300,a,1117,a),flip(a)]. given #912 (H,wt=17): 1122 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(121,a,1117,a)]. given #913 (H,wt=18): 1129 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(104(a,1),1118(a,1,2)),flip(a)]. given #914 (H,wt=18): 1133 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(127,a,1129,a),flip(a)]. given #915 (H,wt=19): 1119 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [hyper(532,a,1117,a),flip(a)]. given #916 (H,wt=14): 1134 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(216,a,104,a(flip),b,1119,a),flip(a)]. given #917 (H,wt=14): 1135 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(121,a,1134,a)]. given #918 (H,wt=20): 1125 R(x,y,z) * u != x * (R(x,y,z) * w) | x * w = u. [para(1117(a,1),42(a,1)),flip(a)]. given #919 (H,wt=20): 1126 R(x,y,z) * (x * u) != x * w | R(x,y,z) * u = w. [para(1117(a,2),42(a,1))]. given #920 (H,wt=20): 1130 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(323(a,1),1118(a,1,2)),flip(a)]. given #921 (H,wt=20): 1131 R(x,y,z) * u != x * w | R(x,y,z) * (x \ u) = w. [para(1120(a,1),122(a,1,1)),flip(a),flip(b)]. given #922 (H,wt=20): 1132 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1120(a,1),303(a,1,1)),flip(b)]. given #923 (H,wt=22): 620 x * T(y,y \ z) != u * w | u \ (x * ((y \ z) \ z)) = w. [para(281(a,2),513(a,1))]. given #924 (H,wt=22): 624 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(283(a,1),262(a,1,2))]. given #925 (H,wt=16): 1137 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(871(a,1),624(a,1))]. given #926 (H,wt=22): 639 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(404(a,1),490(a,1,1))]. given #927 (H,wt=22): 656 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(104(a,1),81(a,1,1))]. given #928 (H,wt=22): 670 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(104(a,1),210(a,1,2))]. given #929 (H,wt=22): 676 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(286,a,22,a,b,355,a),flip(a)]. given #930 (H,wt=22): 680 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(109(a,1),371(a,1,2))]. given #931 (H,wt=22): 681 (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. [para(222(a,1),371(a,1,2,1))]. given #932 (H,wt=22): 686 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(30(a,1),425(a,1,2))]. given #933 (H,wt=22): 692 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(445(a,1),29(a,1,1)),flip(a)]. given #934 (H,wt=22): 693 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(445(a,1),30(a,1,1)),flip(a)]. given #935 (H,wt=22): 701 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(481(a,1),31(a,1,1)),flip(a)]. given #936 (H,wt=22): 709 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(12(a,1),616(a,1,1,2)),flip(a)]. given #937 (H,wt=22): 718 (x * y) \ (x * R(y,z,z \ 1)) = L(a(y,z,z \ 1),y,x). [para(716(a,1),18(a,2,2,2)),flip(a)]. given #938 (H,wt=22): 721 x \ R(x,y,y \ 1) != z * u | z \ a(x,y,y \ 1) = u. [para(716(a,1),299(a,1,2))]. given #939 (H,wt=22): 731 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(729(a,1),214(a,1,2,1)),flip(a)]. given #940 (H,wt=19): 1141 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(62,a,469,a(flip),b,731,a),flip(a)]. given #941 (H,wt=19): 1142 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(396,a,1141,a)]. given #942 (H,wt=22): 732 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(729(a,1),215(a,1,2,1)),flip(a)]. given #943 (H,wt=19): 1143 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(62,a,470,a(flip),b,732,a),flip(a)]. given #944 (H,wt=22): 760 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(354(a,1),583(a,2,2))]. given #945 (H,wt=22): 762 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(116,a,92,a(flip),b,584,a),flip(a)]. given #946 (H,wt=22): 766 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(266,a,592,a)]. given #947 (H,wt=22): 768 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(116,a,592,a(flip),b,104,a(flip))]. given #948 (H,wt=22): 774 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(354(a,1),608(a,1,1,2))]. given #949 (H,wt=22): 785 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(761(a,1),92(a,1,2))]. given #950 (H,wt=22): 786 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(358(a,1),761(a,2,1,2))]. given #951 (H,wt=22): 787 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(443(a,1),761(a,2,1,2))]. given #952 (H,wt=22): 788 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(444(a,1),761(a,2,1,2))]. given #953 (H,wt=22): 793 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(767(a,1),104(a,1,1))]. given #954 (H,wt=22): 794 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(478(a,1),767(a,2,1,2))]. given #955 (H,wt=22): 796 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(560(a,1),767(a,2,1,2))]. given #956 (H,wt=22): 808 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(449(a,1),25(a,2,1))]. given #957 (H,wt=22): 838 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(62,a,645,a(flip),b,606,a)]. given #958 (H,wt=22): 841 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(73(a,1),637(a,1,1,1))]. given #959 (H,wt=22): 842 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(12(a,1),648(a,1,1,1,1))]. given #960 (H,wt=16): 1153 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(914(a,1),842(a,1))]. given #961 (H,wt=22): 843 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(108(a,1),651(a,1,1))]. given #962 (H,wt=21): 1154 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(286,a,685,a(flip),b,843,a),flip(a)]. given #963 (H,wt=21): 1155 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [hyper(175,a,1154,a)]. given #964 (H,wt=22): 849 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(208(a,1),773(a,2,1,2))]. given #965 (H,wt=22): 852 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(730(a,1),476(a,1,1))]. given #966 (H,wt=17): 1158 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(852,a,945,a(flip))]. given #967 (H,wt=22): 860 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(782(a,1),263(a,1,1)),flip(b)]. given #968 (H,wt=22): 867 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(823(a,1),42(a,1))]. given #969 (H,wt=22): 868 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(823(a,1),301(a,1,2)),flip(b)]. given #970 (H,wt=22): 877 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(870(a,1),232(a,1,2)),flip(b)]. given #971 (H,wt=22): 927 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(912(a,1),262(a,1))]. given #972 (H,wt=22): 929 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(928(a,2),232(a,1,2)),flip(b)]. given #973 (H,wt=22): 956 (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. [para(942(a,1),217(a,2))]. given #974 (H,wt=22): 970 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(33,a,425,a,b,947,a),flip(a)]. given #975 (H,wt=22): 979 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(967(a,1),298(a,1,2))]. given #976 (H,wt=22): 981 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(33,a,425,a,b,945,a),flip(a)]. given #977 (H,wt=22): 1003 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(998(a,1),374(a,1,2))]. given #978 (H,wt=22): 1023 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1017(a,1),42(a,1))]. given #979 (H,wt=22): 1024 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1017(a,2),42(a,2))]. given #980 (H,wt=22): 1036 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1032(a,1),301(a,1,2)),flip(b)]. given #981 (H,wt=22): 1041 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1033(a,1),720(a,1))]. given #982 (H,wt=22): 1052 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1046(a,1),298(a,1,2))]. given #983 (H,wt=22): 1090 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(1083(a,1),298(a,1,2))]. given #984 (H,wt=22): 1128 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1123(a,1),237(a,1,2)),flip(a)]. given #985 (H,wt=22): 1157 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(943(a,1),849(a,1,1,1))]. given #986 (H,wt=22): 1160 ((x * (x / y)) / x) * y != z * u | z \ T(x,x / y) = u. [para(780(a,2),1003(a,1))]. given #987 (H,wt=23): 430 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(92(a,1),18(a,2,2,2)),flip(a)]. given #988 (H,wt=23): 438 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(92(a,1),85(a,1,1))]. given #989 (H,wt=23): 455 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(92(a,1),94(a,2,2))]. given #990 (H,wt=23): 466 (((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 #991 (H,wt=23): 486 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(104(a,1),105(a,2,1))]. given #992 (H,wt=23): 488 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(105(a,2),105(a,1,1))]. given #993 (H,wt=23): 619 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(115,a,281,a(flip),b,85,a)]. given #994 (H,wt=23): 635 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(62,a,282,a(flip),b,401,a)]. given #995 (H,wt=23): 643 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(27(a,2),640(a,1))]. given #996 (H,wt=23): 666 R(x,y,y \ z) * z != u * w | u \ ((x * y) * (y \ z)) = w. [para(103(a,1),297(a,1,1))]. given #997 (H,wt=23): 741 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),261(a,1,2))]. given #998 (H,wt=23): 742 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(236(a,2),261(a,1,1))]. given #999 (H,wt=23): 744 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(29(a,1),266(a,1,1))]. given #1000 (H,wt=23): 745 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(31(a,1),266(a,1,1))]. given #1001 (H,wt=23): 755 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(236(a,2),471(a,2,2))]. given #1002 (H,wt=23): 757 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(30(a,1),551(a,1,2))]. given #1003 (H,wt=23): 781 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(109(a,1),646(a,1,2,1,2))]. given #1004 (H,wt=21): 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(286,a,1080,a(flip),b,781,a),flip(a)]. given #1005 (H,wt=23): 800 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(360(a,1),92(a,1,2))]. given #1006 (H,wt=23): 802 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(10(a,1),799(a,1,1,1))]. given #1007 (H,wt=23): 804 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(94(a,1),432(a,1,2,1))]. given #1008 (H,wt=23): 805 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),432(a,1,2,1))]. given #1009 (H,wt=23): 813 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(105(a,1),468(a,1,1,1))]. given #1010 (H,wt=19): 1167 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(648,a,813,a),flip(a)]. given #1011 (H,wt=15): 1169 (x * T(y,z)) * y = (x * y) * T(y,z). [para(401(a,1),1167(a,1,1))]. given #1012 (H,wt=13): 1171 (1 / T(x,y)) * x = x / T(x,y). [hyper(396,a,1169,a),flip(a)]. given #1013 (H,wt=13): 1175 T(x * T(y,x * y),y) = x * y. [hyper(216,a,1169,a,b,108,a(flip))]. given #1014 (H,wt=13): 1184 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(121,a,1171,a)]. given #1015 (H,wt=15): 1170 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(568,a,1169,a)]. given #1016 (H,wt=15): 1172 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(295,a,1169,a),flip(a)]. given #1017 (H,wt=15): 1173 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(286,a,142,a(flip),b,1169,a),flip(a)]. given #1018 (H,wt=13): 1192 (x / y) * T(y,x) = (y * x) / y. [hyper(116,a,108,a(flip),b,1173,a),flip(a)]. given #1019 (H,wt=15): 1174 (x * T(y,x * y)) * y = y * (x * y). [hyper(286,a,108,a(flip),b,1169,a),flip(a)]. given #1020 (H,wt=15): 1176 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(121,a,1169,a)]. given #1021 (H,wt=15): 1177 (x * (y * x)) / x = y * T(x,y * x). [hyper(116,a,108,a(flip),b,1169,a)]. given #1022 (H,wt=15): 1178 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(115,a,142,a(flip),b,1169,a)]. given #1023 (H,wt=15): 1179 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(567,a,1169,a(flip)),flip(a)]. given #1024 (H,wt=15): 1201 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(115,a,1177,a,b,xx)]. given #1025 (H,wt=16): 1185 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1184(a,1),232(a,1,2)),flip(b)]. given #1026 (H,wt=17): 1186 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1184(a,1),928(a,1,1)),flip(a)]. given #1027 (H,wt=17): 1190 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1012(a,2),1172(a,1,1))]. given #1028 (H,wt=17): 1191 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(216,a,1173,a,b,10,a)]. given #1029 (H,wt=17): 1195 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(570,a,1192,a),flip(a)]. given #1030 (H,wt=17): 1196 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(216,a,1192,a,b,10,a),flip(a)]. given #1031 (H,wt=17): 1206 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(182,a,1186,a)]. given #1032 (H,wt=18): 1180 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1169(a,1),43(a,1))]. given #1033 (H,wt=18): 1181 (x * T(y,z)) * y != u * T(y,z) | x * y = u. [para(1169(a,2),43(a,1))]. given #1034 (H,wt=18): 1188 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1172(a,1),43(a,1)),flip(a)]. given #1035 (H,wt=18): 1189 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1172(a,1),227(a,1,1)),flip(b)]. given #1036 (H,wt=18): 1193 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1173(a,1),43(a,1))]. given #1037 (H,wt=18): 1202 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(1177(a,2),301(a,1,2)),flip(b)]. given #1038 (H,wt=18): 1204 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1201(a,1),232(a,1,2)),flip(b)]. given #1039 (H,wt=19): 1207 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(37,a,22,a(flip),b,1186,a),flip(a)]. given #1040 (H,wt=19): 1209 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1190(a,1),945(a,1,2)),flip(a)]. given #1041 (H,wt=19): 1211 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(127,a,1209,a),flip(a)]. given #1042 (H,wt=17): 1212 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(62,a,1012,a(flip),b,1211,a),flip(a)]. given #1043 (H,wt=20): 1183 (x * y) * T(y,z) != y * u | T(x * T(y,z),y) = u. [para(1169(a,1),217(a,2)),flip(a)]. given #1044 (H,wt=20): 1187 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1170(a,2),217(a,2)),flip(a)]. given #1045 (H,wt=20): 1194 x * T(y,z) != y * u | T((x / y) * T(y,z),y) = u. [para(1173(a,1),217(a,2)),flip(a)]. given #1046 (H,wt=20): 1197 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1192(a,1),217(a,2)),flip(a)]. given #1047 (H,wt=20): 1198 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1192(a,1),304(a,1,2))]. given #1048 (H,wt=20): 1213 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(758,a,1212,a)]. given #1049 (H,wt=21): 1182 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(110(a,1),1169(a,1,1,2)),flip(a)]. given #1050 (H,wt=19): 1214 (x * (y \ z)) * (z / y) = (x * (z / y)) * (y \ z). [para(110(a,1),1182(a,1,2)),flip(a)]. given #1051 (H,wt=17): 1218 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(116,a,74,a(flip),b,1214,a),flip(a)]. given #1052 (H,wt=15): 1221 x \ (1 / (1 / x)) = (x \ 1) / (1 / x). [hyper(62,a,1081,a(flip),b,1218,a)]. given #1053 (H,wt=19): 1216 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(568,a,1214,a)]. given #1054 (H,wt=19): 1217 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(116,a,142,a(flip),b,1214,a)]. given #1055 (H,wt=19): 1219 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(567,a,1214,a(flip)),flip(a)]. given #1056 (H,wt=21): 1220 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(216,a,1218,a,b,10,a),flip(a)]. given #1057 (H,wt=21): 1222 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(76(a,1),1218(a,1,2)),flip(a)]. given #1058 (H,wt=17): 1225 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(76(a,1),1222(a,1,1)),flip(a)]. given #1059 (H,wt=21): 1224 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1220(a,1),1085(a,1,1))]. given #1060 (H,wt=22): 1205 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1201(a,1),374(a,1,2))]. given #1061 (H,wt=23): 846 (x * y) \ ((x \ 1) \ y) != z | a(x,x \ 1,(x \ 1) \ y) = z. [para(444(a,1),714(a,1,1))]. given #1062 (H,wt=23): 851 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(116,a,281,a(flip),b,403,a)]. given #1063 (H,wt=23): 854 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(108(a,1),655(a,1,1,2))]. given #1064 (H,wt=23): 855 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(108(a,1),655(a,1,2,1))]. given #1065 (H,wt=23): 861 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(76(a,1),783(a,1,2,2,1,2))]. given #1066 (H,wt=23): 876 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(866(a,1),388(a,1,2))]. given #1067 (H,wt=23): 879 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(286,a,824,a(flip),b,875,a),flip(a)]. given #1068 (H,wt=23): 889 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(195(a,1),433(a,1,2,1))]. given #1069 (H,wt=23): 894 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(595(a,1),434(a,1,2,1))]. given #1070 (H,wt=19): 1229 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(376,a,894,a),flip(a)]. given #1071 (H,wt=17): 1230 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(214(a,1),1229(a,1,2)),flip(a)]. given #1072 (H,wt=15): 1233 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(372,a,1230,a),flip(a)]. given #1073 (H,wt=15): 1237 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,68,a(flip),b,1230,a),flip(a)]. given #1074 (H,wt=15): 1244 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(121,a,1233,a)]. given #1075 (H,wt=15): 1249 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(121,a,1237,a)]. given #1076 (H,wt=17): 1231 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(546,a,1230,a)]. given #1077 (H,wt=17): 1232 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(545,a,1230,a),flip(a)]. given #1078 (H,wt=17): 1234 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(300,a,1230,a),flip(a)]. given #1079 (H,wt=17): 1235 (x * (L(x,y,z) * u)) / (x * u) = L(x,y,z). [hyper(127,a,1230,a)]. given #1080 (H,wt=17): 1236 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(115,a,145,a(flip),b,1230,a)]. given #1081 (H,wt=17): 1248 x * (L(x,y \ 1,y) \ 1) = a(y,y \ 1,x). [hyper(286,a,713,a(flip),b,1237,a),flip(a)]. given #1082 (H,wt=17): 1253 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(121,a,1232,a)]. given #1083 (H,wt=19): 1254 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(115,a,22,a,b,1232,a),flip(a)]. given #1084 (H,wt=20): 1240 L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. [para(1230(a,2),42(a,1))]. given #1085 (H,wt=23): 896 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(469(a,1),43(a,1))]. given #1086 (H,wt=23): 904 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(559(a,2),43(a,1))]. given #1087 (H,wt=23): 907 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(691(a,1),425(a,1,2)),flip(a)]. given #1088 (H,wt=21): 1256 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(115,a,108,a(flip),b,907,a),flip(a)]. given #1089 (H,wt=19): 1258 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(8(a,1),1256(a,2,2,1,2))]. given #1090 (H,wt=19): 1259 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(286,a,386,a,b,1258,a)]. given #1091 (H,wt=19): 1260 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(115,a,386,a,b,1258,a),flip(a)]. given #1092 (H,wt=20): 1262 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(195(a,2),1260(a,1,1,1))]. given #1093 (H,wt=21): 1257 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),907(a,2,2,1,2))]. given #1094 (H,wt=19): 1267 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1082(a,2),1257(a,1,2)),flip(a)]. given #1095 (H,wt=19): 1269 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(513,a,1267,a),flip(a)]. given #1096 (H,wt=21): 1264 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1262(a,2),677(a,1,2)),flip(a)]. given #1097 (H,wt=21): 1265 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(121,a,1257,a),flip(a)]. given #1098 (H,wt=21): 1266 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(317(a,1),1257(a,1,2)),flip(a)]. given #1099 (H,wt=21): 1271 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1267(a,1,2,1)),flip(a)]. given #1100 (H,wt=21): 1275 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(76(a,1),1269(a,2,2,2,1))]. given #1101 (H,wt=19): 1277 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1192(a,1),1275(a,2,2))]. given #1102 (H,wt=22): 1261 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1260(a,2),232(a,1,2)),flip(b)]. given #1103 (H,wt=23): 909 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(700(a,1),332(a,1,1)),flip(a)]. given #1104 (H,wt=21): 1278 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),909(a,2,1,1,1))]. given #1105 (H,wt=21): 1280 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(286,a,400,a(flip),b,1278,a),flip(a)]. given #1106 (H,wt=21): 1281 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(400(a,1),1280(a,1,1))]. given #1107 (H,wt=19): 1283 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1082(a,2),1281(a,1,1))]. given #1108 (H,wt=19): 1284 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(127,a,1283,a),flip(a)]. given #1109 (H,wt=21): 1282 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(317(a,1),1281(a,1,1))]. given #1110 (H,wt=23): 948 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(216,a,942,a,b,289,a)]. given #1111 (H,wt=23): 965 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(958(a,1),821(a,1,2,1)),flip(a)]. given #1112 (H,wt=23): 986 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(110(a,1),983(a,1,1)),flip(a)]. given #1113 (H,wt=21): 1288 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(110(a,1),986(a,1,2)),flip(a)]. given #1114 (H,wt=23): 994 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(362(a,1),987(a,2,2)),flip(a)]. given #1115 (H,wt=20): 1290 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(62,a,793,a(flip),b,994,a)]. given #1116 (H,wt=20): 1291 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(780(a,1),1290(a,1,1))]. given #1117 (H,wt=23): 1044 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [para(64(a,2),903(a,2,2,1))]. given #1118 (H,wt=23): 1059 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1055(a,1),217(a,2)),flip(a)]. given #1119 (H,wt=23): 1064 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(203(a,1),955(a,1,2,1)),flip(a)]. given #1120 (H,wt=19): 1293 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1064(a,1,1)),flip(a)]. given #1121 (H,wt=17): 1297 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(115,a,68,a(flip),b,1293,a),flip(a)]. given #1122 (H,wt=17): 1298 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(121,a,1297,a)]. given #1123 (H,wt=19): 1294 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(546,a,1293,a)]. given #1124 (H,wt=19): 1295 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(300,a,1293,a),flip(a)]. given #1125 (H,wt=19): 1296 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(115,a,145,a(flip),b,1293,a)]. given #1126 (H,wt=20): 1300 ((x * y) / x) * (y \ 1) != z | y \ ((x * y) / x) = z. [para(1294(a,1),305(a,1))]. given #1127 (H,wt=22): 1301 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1295(a,1),301(a,1,2)),flip(b)]. given #1128 (H,wt=23): 1089 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1082(a,2),945(a,1,2)),flip(a)]. given #1129 (H,wt=23): 1115 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(871(a,1),1099(a,1,1))]. given #1130 (H,wt=23): 1150 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(115,a,787,a(flip),b,237,a)]. given #1131 (H,wt=23): 1151 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(115,a,788,a(flip),b,235,a),flip(a)]. given #1132 (H,wt=17): 1302 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1002,a,1151,a),flip(a)]. given #1133 (H,wt=16): 1303 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1302(a,1),1202(a,1))]. given #1134 (H,wt=23): 1168 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(637,a,813,a)]. given #1135 (H,wt=22): 1304 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(33,a,587,a,b,1168,a)]. given #1136 (H,wt=20): 1307 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(203(a,1),1304(a,1,1,1)),flip(a)]. given #1137 (H,wt=16): 1309 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1176(a,1),1307(a,1,1)),flip(a)]. given #1138 (H,wt=19): 1310 R(x,y,T(z,u)) != T(z,y) | T(z,y * T(z,u)) = x. [para(1309(a,1),50(a,1)),flip(a)]. given #1139 (H,wt=19): 1311 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(598(a,1),1309(a,1,1,2))]. given #1140 (H,wt=23): 1215 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(203(a,1),1182(a,1,2)),flip(a)]. given #1141 (H,wt=19): 1312 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1215(a,1,1,2)),flip(a)]. given #1142 (H,wt=17): 1314 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(396,a,1312,a),flip(a)]. given #1143 (H,wt=17): 1315 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(116,a,74,a(flip),b,1312,a),flip(a)]. given #1144 (H,wt=17): 1318 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(127,a,1314,a)]. given #1145 (H,wt=19): 1313 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(568,a,1312,a)]. given #1146 (H,wt=21): 1316 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(116,a,67,a(flip),b,1312,a)]. given #1147 (H,wt=21): 1317 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(999(a,1),1312(a,1,1)),flip(a)]. given #1148 (H,wt=17): 1319 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(295,a,1317,a),flip(a)]. given #1149 (H,wt=17): 1320 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(968,a,1319,a)]. given #1150 (H,wt=17): 1322 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(127,a,1320,a)]. given #1151 (H,wt=20): 1323 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1320(a,1),43(a,1))]. given #1152 (H,wt=20): 1324 ((x * y) / x) / (x \ y) != z | T(x,x / (x / y)) = z. [para(1320(a,1),227(a,1,1)),flip(b)]. given #1153 (H,wt=23): 1246 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1233(a,1),869(a,1,2,1,2))]. given #1154 (H,wt=19): 1325 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(10(a,1),1246(a,1,2,1)),flip(a)]. given #1155 (H,wt=19): 1327 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(25(a,2),1325(a,2,2))]. given #1156 (H,wt=19): 1328 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(25(a,2),1327(a,1,1))]. given #1157 (H,wt=23): 1255 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(121,a,907,a)]. given #1158 (H,wt=23): 1268 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(929,a,1267,a),flip(a)]. given #1159 (H,wt=23): 1270 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(62,a,872,a(flip),b,1267,a),flip(a)]. given #1160 (H,wt=23): 1279 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(400(a,1),909(a,1,1))]. given #1161 (H,wt=23): 1306 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(400(a,1),1168(a,2,1))]. given #1162 (H,wt=21): 1333 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(216,a,1306,a(flip),b,805,a(flip)),flip(a)]. given #1163 (H,wt=19): 1336 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(22(a,2),1333(a,1,2,1,2)),flip(a)]. given #1164 (H,wt=19): 1337 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(115,a,1336,a,b,xx)]. given #1165 (H,wt=19): 1338 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(9(a,1),1337(a,1,2,1,2,1)),flip(a)]. given #1166 (H,wt=21): 1334 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1306(a,1,2,1,2))]. given #1167 (H,wt=11): 1340 T(x,x * T(x \ 1,y)) = x. [hyper(216,a,678,a(flip),b,1334,a(flip))]. given #1168 (H,wt=9): 1341 T(x,(x \ 1) * x) = x. [para(108(a,1),1340(a,1,2))]. given #1169 (H,wt=9): 1342 T(x,K(x \ 1,x)) = x. [para(317(a,1),1340(a,1,2))]. given #1170 (H,wt=12): 1347 R(x,x \ 1,x) = T(x,x \ 1). [para(1341(a,1),730(a,1,1))]. given #1171 (H,wt=12): 1348 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,1347,a),flip(a)]. given #1172 (H,wt=13): 1345 T(x \ 1,x \ T(x,y)) = x \ 1. [para(871(a,1),1340(a,1,2))]. given #1173 (H,wt=13): 1346 T(1 / x,T(x,y) / x) = 1 / x. [para(916(a,1),1340(a,1,2))]. given #1174 (H,wt=13): 1349 T(x,x \ 1) \ x = (x \ 1) * x. [para(1347(a,1),384(a,1,1))]. given #1175 (H,wt=13): 1350 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(62,a,497,a,b,1348,a)]. given #1176 (H,wt=13): 1354 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(216,a,1349,a(flip),b,952,a),flip(a)]. given #1177 (H,wt=13): 1356 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(129,a,1350,a)]. given #1178 (H,wt=15): 1344 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(402(a,1),1340(a,1,2))]. given #1179 (H,wt=15): 1351 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(53,a,1345,a)]. given #1180 (H,wt=15): 1357 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(379,a,1354,a)]. given #1181 (H,wt=15): 1358 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(594(a,1),1354(a,1,1)),flip(a)]. given #1182 (H,wt=11): 1361 T(x,1 / x) = (x \ 1) \ 1. [para(76(a,1),1358(a,1,1))]. given #1183 (H,wt=11): 1362 T(x,x \ 1) = T(x,1 / x). [hyper(286,a,109,a,b,1361,a)]. given #1184 (H,wt=12): 1363 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(62,a,736,a,b,1361,a)]. given #1185 (H,wt=12): 1367 R(x,1 / x,x) = T(x,x \ 1). [hyper(286,a,736,a,b,1362,a)]. given #1186 (H,wt=13): 1365 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1361(a,1),738(a,1,1))]. given #1187 (H,wt=13): 1370 T(x,x \ 1) / x = K(x,1 / x). [para(1362(a,2),738(a,1,1))]. given #1188 (H,wt=13): 1372 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(62,a,1019,a,b,1365,a)]. given #1189 (H,wt=13): 1374 (1 / x) / K(x,1 / x) = x \ 1. [hyper(182,a,1372,a)]. given #1190 (H,wt=12): 1375 R(1 / x,x,1 / x) = x \ 1. [hyper(629,a,1374,a)]. given #1191 (H,wt=17): 1373 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(76(a,1),1365(a,1,1,1)),flip(a)]. given #1192 (H,wt=17): 1376 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1375(a,1),366(a,1,1)),flip(a)]. given #1193 (H,wt=18): 1355 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1349(a,2),217(a,2)),flip(a)]. given #1194 (H,wt=18): 1359 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1344(a,1),730(a,1,1))]. given #1195 (H,wt=18): 1364 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(1361(a,1),257(a,1,1,2))]. given #1196 (H,wt=11): 1378 T(1 / (1 / x),x \ 1) = x. [hyper(1364,a,851,a)]. given #1197 (H,wt=13): 1380 T(1 / (1 / (1 / x)),x) = 1 / x. [para(76(a,1),1378(a,1,2))]. given #1198 (H,wt=13): 1383 T(x,x \ 1) / x = K(x,x \ 1). [para(1378(a,1),1224(a,1,1)),flip(a)]. given #1199 (H,wt=11): 1386 K(x,x \ 1) = K(x,1 / x). [hyper(62,a,1370,a(flip),b,1383,a),flip(a)]. given #1200 (H,wt=11): 1389 K(x,x \ 1) = x * (1 / x). [hyper(286,a,238,a(flip),b,1386,a),flip(a)]. given #1201 (H,wt=11): 1390 x \ K(x,x \ 1) = 1 / x. [hyper(115,a,1386,a,b,238,a(flip))]. given #1202 (H,wt=13): 1385 K(x,x \ 1) * x = T(x,x \ 1). [hyper(129,a,1383,a)]. given #1203 (H,wt=13): 1387 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(109(a,1),1383(a,1,1))]. given #1204 (H,wt=13): 1394 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1389(a,2),89(a,1,1))]. given #1205 (H,wt=13): 1397 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1389(a,2),1078(a,1,2))]. given #1206 (H,wt=13): 1402 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,1385,a),flip(a)]. given #1207 (H,wt=14): 1392 K(x,x \ 1) != y | x * (1 / x) = y. [para(1386(a,2),391(a,1))]. given #1208 (H,wt=14): 1393 K(x,x \ 1) != x * y | 1 / x = y. [para(1389(a,2),42(a,1))]. given #1209 (H,wt=14): 1395 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1389(a,2),331(a,1))]. given #1210 (H,wt=14): 1401 x * (1 / x) != y | K(x,x \ 1) = y. [para(1390(a,1),232(a,1,2)),flip(b)]. given #1211 (H,wt=14): 1409 K(x,1 / x) != y | K(x,x \ 1) = y. [para(238(a,2),1401(a,1))]. given #1212 (H,wt=15): 1379 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1378(a,1),23(a,1,1)),flip(a)]. given #1213 (H,wt=15): 1381 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1378(a,1),108(a,1,2)),flip(a)]. given #1214 (H,wt=13): 1411 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(62,a,1218,a(flip),b,1381,a)]. given #1215 (H,wt=12): 1412 L(x \ 1,x,x \ 1) = 1 / x. [hyper(380,a,1411,a)]. given #1216 (H,wt=13): 1413 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(286,a,236,a,b,1411,a),flip(a)]. given #1217 (H,wt=13): 1416 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(129,a,1413,a)]. given #1218 (H,wt=13): 1418 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1221,a,b,1413,a)]. given #1219 (H,wt=13): 1420 x * K(x \ 1,x) = 1 / (1 / x). [hyper(131,a,1418,a)]. given #1220 (H,wt=12): 1424 L(x,x \ 1,x) = 1 / (1 / x). [hyper(62,a,501,a(flip),b,1420,a)]. given #1221 (H,wt=15): 1384 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1380(a,1),108(a,1,2)),flip(a)]. given #1222 (H,wt=13): 1428 x / (1 / (1 / x)) = x * (1 / x). [hyper(62,a,1225,a(flip),b,1384,a)]. given #1223 (H,wt=12): 1429 L(x,1 / x,x) = 1 / (1 / x). [hyper(548,a,1428,a)]. given #1224 (H,wt=12): 1431 T(L(x,1 / x,x),x \ 1) = x. [para(1429(a,2),1378(a,1,1))]. given #1225 (H,wt=12): 1432 L(T(x,x \ 1),1 / x,x) = x. [hyper(62,a,25,a,b,1431,a)]. given #1226 (H,wt=13): 1430 K(x,1 / x) * (1 / (1 / x)) = x. [para(1429(a,1),569(a,1,2))]. given #1227 (H,wt=13): 1433 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1386(a,2),1430(a,1,1))]. given #1228 (H,wt=15): 1388 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(286,a,632,a,b,1386,a)]. given #1229 (H,wt=15): 1391 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(73(a,1),1386(a,2,2))]. given #1230 (H,wt=15): 1417 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1373,a,b,1413,a)]. given #1231 (H,wt=15): 1435 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1409,a,1417,a)]. given #1232 (H,wt=11): 1436 K(x \ 1,x) = K(1 / x,x). [para(76(a,1),1435(a,1,2)),flip(a)]. given #1233 (H,wt=13): 1437 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(286,a,1394,a,b,1436,a)]. given #1234 (H,wt=15): 1438 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(62,a,1388,a(flip),b,1436,a),flip(a)]. given #1235 (H,wt=15): 1439 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(73(a,1),1436(a,2,1))]. given #1236 (H,wt=13): 1441 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(62,a,1072,a(flip),b,1439,a)]. given #1237 (H,wt=13): 1442 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(131,a,1441,a)]. given #1238 (H,wt=9): 1444 T(x,K(x,x \ 1)) = x. [hyper(216,a,1442,a,b,1402,a)]. given #1239 (H,wt=9): 1446 T(x,K(x,1 / x)) = x. [para(1386(a,1),1444(a,1,2))]. given #1240 (H,wt=13): 1443 x * K(x,x \ 1) = T(x,x \ 1). [hyper(286,a,109,a,b,1442,a),flip(a)]. given #1241 (H,wt=15): 1440 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(286,a,1386,a(flip),b,1439,a),flip(a)]. given #1242 (H,wt=16): 1406 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1402(a,1),227(a,1,1)),flip(b)]. given #1243 (H,wt=16): 1407 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(1383(a,2),1395(a,1))]. given #1244 (H,wt=16): 1408 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(1387(a,2),1395(a,1))]. given #1245 (H,wt=16): 1414 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1412(a,1),25(a,2,1))]. given #1246 (H,wt=16): 1421 x * K(x \ 1,x) != y | 1 / (1 / x) = y. [para(1418(a,1),232(a,1,2)),flip(b)]. given #1247 (H,wt=16): 1425 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1420(a,1),42(a,1))]. given #1248 (H,wt=16): 1426 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1424(a,1),25(a,2,1))]. given #1249 (H,wt=17): 1452 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(116,a,1426,a(flip),b,235,a)]. given #1250 (H,wt=18): 1368 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1362(a,2),595(a,1,1))]. given #1251 (H,wt=18): 1371 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1367(a,1),31(a,1,1)),flip(a)]. given #1252 (H,wt=18): 1382 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1378(a,1),136(a,1,1)),flip(a)]. given #1253 (H,wt=18): 1410 K((x / y) \ x,1 / y) != z | K(y,y \ 1) = z. [para(632(a,2),1409(a,1))]. given #1254 (H,wt=18): 1415 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1412(a,1),30(a,1,1)),flip(a)]. given #1255 (H,wt=18): 1427 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1424(a,1),29(a,1,1)),flip(a)]. given #1256 (H,wt=18): 1447 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [hyper(286,a,1432,a,b,1446,a)]. given #1257 (H,wt=18): 1449 K((x \ 1) \ 1,x \ 1) != y | K(x,x \ 1) = y. [para(1440(a,2),1409(a,1))]. given #1258 (H,wt=18): 1454 K(1 / (1 / x),1 / x) != y | K(x,x \ 1) = y. [para(1436(a,1),1410(a,1))]. given #1259 (H,wt=19): 1352 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1345(a,1),108(a,1,2))]. given #1260 (H,wt=19): 1366 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1361(a,1),1142(a,1,1,1))]. given #1261 (H,wt=19): 1369 T((x * y) / x,1 / y) = (x * T(y,y \ 1)) / x. [para(1362(a,2),408(a,2,1,2))]. given #1262 (H,wt=19): 1456 T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). [hyper(286,a,408,a,b,1369,a)]. given #1263 (H,wt=20): 1360 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1351(a,1),695(a,1,1)),flip(a)]. given #1264 (H,wt=15): 1458 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(286,a,694,a,b,1360,a)]. given #1265 (H,wt=11): 1459 T(K(x,y),x \ 1) = K(x,y). [para(16(a,2),1458(a,2,1)),flip(a)]. given #1266 (H,wt=11): 1460 T(x \ 1,K(x,y)) = x \ 1. [hyper(53,a,1459,a)]. given #1267 (H,wt=18): 1461 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1459(a,1),262(a,1,2))]. given #1268 (H,wt=20): 1450 (x \ 1) / (1 / x) != y | K(1 / x,1 / (1 / x)) = y. [para(594(a,1),1407(a,1,1))]. given #1269 (H,wt=21): 1339 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(62,a,805,a(flip),b,1334,a)]. given #1270 (H,wt=19): 1463 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(816,a,1339,a)]. given #1271 (H,wt=21): 1353 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1346(a,1),408(a,2,1,2))]. given #1272 (H,wt=21): 1399 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1389(a,2),1230(a,1,2))]. given #1273 (H,wt=21): 1400 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1389(a,2),1236(a,1,2))]. given #1274 (H,wt=21): 1422 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1418(a,1),951(a,1,2,2))]. given #1275 (H,wt=21): 1445 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1444(a,1),214(a,1,2,1)),flip(a)]. given #1276 (H,wt=21): 1457 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(204(a,1),1456(a,2,1))]. given #1277 (H,wt=15): 1467 T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). [para(204(a,1),1457(a,1,1))]. given #1278 (H,wt=19): 1468 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1467(a,2),1207(a,1,1))]. given #1279 (H,wt=21): 1462 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1460(a,1),402(a,1,2)),flip(a)]. given #1280 (H,wt=13): 1470 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(286,a,10,a(flip),b,1462,a),flip(a)]. given #1281 (H,wt=9): 1472 T(x,K(x \ 1,y)) = x. [hyper(126,a,1470,a)]. given #1282 (H,wt=11): 1473 T(1 / x,K(x,y)) = 1 / x. [para(76(a,1),1472(a,1,2,1))]. given #1283 (H,wt=11): 1474 T(K(x,y),1 / x) = K(x,y). [hyper(53,a,1473,a)]. given #1284 (H,wt=21): 1464 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(246,a,1463,a)]. given #1285 (H,wt=21): 1466 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(62,a,1399,a(flip),b,1445,a),flip(a)]. given #1286 (H,wt=22): 1396 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1389(a,2),973(a,1,2))]. given #1287 (H,wt=22): 1475 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1473(a,1),700(a,1,1)),flip(a)]. given #1288 (H,wt=15): 1476 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(286,a,364,a(flip),b,1475,a),flip(a)]. given #1289 (H,wt=13): 1477 T(x / y,K(y / x,z)) = x / y. [para(7(a,1),1476(a,1,1,1))]. given #1290 (H,wt=15): 1478 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1477(a,1),223(a,1,1)),flip(a)]. given #1291 (H,wt=13): 1479 T(x \ y,K(x / y,z)) = x \ y. [hyper(286,a,110,a(flip),b,1478,a),flip(a)]. given #1292 (H,wt=23): 1329 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1255(a,1,2,2,1,2)),flip(a)]. given #1293 (H,wt=23): 1330 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(116,a,400,a(flip),b,1279,a)]. given #1294 (H,wt=21): 1481 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(108(a,1),1330(a,1,1)),flip(a)]. given #1295 (H,wt=23): 1331 (x * y) \ ((x * T(x \ z,u)) * y) = T((x * y) \ (z * y),u). [hyper(121,a,1306,a)]. given #1296 (H,wt=23): 1332 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(62,a,805,a(flip),b,1306,a)]. given #1297 (H,wt=23): 1451 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1414(a,1),440(a,1,2))]. given #1298 (H,wt=23): 1453 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1371(a,1),667(a,1,2))]. given #1299 (H,wt=23): 1455 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(76(a,1),1366(a,1,1,1,1)),flip(a)]. given #1300 (H,wt=23): 1469 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1468(a,1),1179(a,1,1,1))]. given #1301 (H,wt=23): 1486 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(12(a,1),1332(a,1,2,2,1,2,2)),flip(a)]. given #1302 (H,wt=21): 1491 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(108(a,1),1486(a,1,1)),flip(a)]. given #1303 (H,wt=19): 1498 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(65(a,1),1491(a,1,2,2,1,2)),flip(a)]. given #1304 (H,wt=21): 1496 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(62,a,805,a,b,1491,a)]. given #1305 (H,wt=21): 1497 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(9(a,1),1491(a,1,2,2,1,2)),flip(a)]. given #1306 (H,wt=19): 1504 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(204(a,1),1497(a,1,1,1,2)),flip(a)]. given #1307 (H,wt=15): 1505 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(216,a,1504,a(flip),b,202,a(flip))]. given #1308 (H,wt=15): 1509 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1505(a,2),72(a,1,2,1))]. given #1309 (H,wt=15): 1510 x * (T(y * x,x) / x) = T(x * y,x). [para(9(a,1),1509(a,1,2,1,1,1))]. given #1310 (H,wt=15): 1511 T(x * (y / x),x) = x * (T(y,x) / x). [para(77(a,1),1509(a,1,2,1,1)),flip(a)]. given #1311 (H,wt=15): 1512 x \ T(x * y,x) = T(y * x,x) / x. [hyper(121,a,1510,a)]. given #1312 (H,wt=15): 1514 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(115,a,1511,a,b,xx)]. given #1313 (H,wt=18): 1508 T((x \ y) * x,x) != z * x | x \ T(y,x) = z. [para(1505(a,2),43(a,1))]. given #1314 (H,wt=19): 1507 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(115,a,1505,a,b,271,a)]. given #1315 (H,wt=19): 1513 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(911(a,1),1510(a,1,2)),flip(a)]. given #1316 (H,wt=19): 1517 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1514(a,1),1338(a,1,1)),flip(a)]. given #1317 (H,wt=19): 1520 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [hyper(131,a,1517,a),flip(a)]. given #1318 (H,wt=17): 1521 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(253(a,1),1520(a,2,2,1,1))]. given #1319 (H,wt=21): 1501 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1114(a,2),1491(a,1,2)),flip(a)]. given #1320 (H,wt=19): 1523 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(70(a,1),1501(a,1,1,1,2)),flip(a)]. given #1321 (H,wt=19): 1525 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(236(a,2),1523(a,2,1))]. given #1322 (H,wt=19): 1526 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(9(a,1),1525(a,1,2,2)),flip(a)]. given #1323 (H,wt=21): 1518 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(9(a,1),1507(a,1,2,1,1))]. given #1324 (H,wt=21): 1527 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(22(a,2),1525(a,1,2,2))]. given #1325 (H,wt=22): 1522 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1520(a,2),301(a,1,2)),flip(b)]. given #1326 (H,wt=22): 1529 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1526(a,1),300(a,1))]. given #1327 (H,wt=23): 1489 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(860,a,1469,a)]. given #1328 (H,wt=21): 1531 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(952(a,1),1489(a,1,2,1))]. given #1329 (H,wt=23): 1495 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1027(a,2),1486(a,1,1))]. given #1330 (H,wt=21): 1532 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(65(a,1),1495(a,2,2,2,1,2))]. given #1331 (H,wt=19): 1533 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [hyper(286,a,202,a(flip),b,1532,a),flip(a)]. given #1332 (H,wt=19): 1535 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(317(a,1),1532(a,2,2))]. given #1333 (H,wt=19): 1537 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(11(a,1),1535(a,1,1,1))]. given #1334 (H,wt=20): 1536 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,104,a(flip),b,1533,a),flip(a)]. given #1335 (H,wt=22): 1539 (x * K(y \ 1,y)) * y != z * K(y \ 1,y) | x * y = z. [para(1537(a,2),43(a,1))]. given #1336 (H,wt=23): 1502 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(73(a,1),1498(a,1,1,1,2)),flip(a)]. given #1337 (H,wt=19): 1541 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1258(a,1),1502(a,1,2)),flip(a)]. given #1338 (H,wt=17): 1542 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(86(a,1),1541(a,2,2))]. given #1339 (H,wt=19): 1543 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(9(a,1),1542(a,1,1,1))]. given #1340 (H,wt=15): 1544 (x * y) * ((y * x) \ y) = y * K(x,y). [para(9(a,1),1543(a,2,2,1))]. given #1341 (H,wt=17): 1545 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(288,a,1544,a)]. given #1342 (H,wt=22): 1546 (x * y) * ((y * x) \ y) != z * u | z \ (y * K(x,y)) = u. [para(1544(a,2),513(a,1))]. given #1343 (H,wt=23): 1515 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(401(a,1),1512(a,2,1,1))]. given #1344 (H,wt=19): 1548 T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. [hyper(1522,a,1515,a)]. given #1345 (H,wt=23): 1540 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1536(a,1),43(a,1)),flip(a)]. given #1346 (H,wt=24): 431 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(92(a,1),20(a,2,1,1)),flip(a)]. given #1347 (H,wt=24): 493 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(271(a,1),171(a,1,2,1))]. given #1348 (H,wt=24): 494 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(92(a,1),171(a,1,2,1))]. given #1349 (H,wt=24): 664 ((x * (y \ z)) * T(y,y \ z)) / z = R(x,y \ z,(y \ z) \ z). [para(109(a,2),103(a,1,1,2))]. given #1350 (H,wt=24): 665 R(x,y \ z,T(y,y \ z)) = ((x * (y \ z)) * ((y \ z) \ z)) / z. [para(109(a,2),103(a,2,3)),flip(a)]. given #1351 (H,wt=21): 1549 R(x,y \ z,T(y,y \ z)) = R(x,y \ z,(y \ z) \ z). [hyper(286,a,103,a(flip),b,665,a),flip(a)]. given #1352 (H,wt=24): 764 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(591(a,1),458(a,1,1))]. given #1353 (H,wt=21): 1550 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(116,a,575,a(flip),b,764,a)]. given #1354 (H,wt=21): 1551 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(12(a,1),1550(a,1,1,1)),flip(a)]. given #1355 (H,wt=24): 789 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(445(a,1),761(a,2,1,2))]. given #1356 (H,wt=24): 795 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(767(a,2),490(a,1,1))]. given #1357 (H,wt=24): 809 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(449(a,1),29(a,1,1)),flip(a)]. given #1358 (H,wt=24): 836 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(108(a,1),588(a,1,2,1)),flip(a)]. given #1359 (H,wt=24): 845 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(25(a,2),672(a,1,2,1))]. given #1360 (H,wt=24): 1034 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(115,a,364,a(flip),b,1032,a),flip(a)]. given #1361 (H,wt=17): 1554 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(62,a,709,a(flip),b,1034,a),flip(a)]. given #1362 (H,wt=21): 1555 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(73(a,1),1554(a,1,2)),flip(a)]. given #1363 (H,wt=17): 1556 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(570,a,1555,a),flip(a)]. given #1364 (H,wt=17): 1558 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(131,a,1556,a)]. given #1365 (H,wt=24): 1049 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1045(a,1),85(a,1,1))]. given #1366 (H,wt=24): 1108 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(10(a,1),1103(a,1,1,2,1))]. given #1367 (H,wt=17): 1561 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(354(a,1),1108(a,1,2))]. given #1368 (H,wt=17): 1562 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(182,a,1561,a)]. given #1369 (H,wt=24): 1111 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(354(a,1),1110(a,1,2)),flip(a)]. given #1370 (H,wt=17): 1563 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(354(a,1),1111(a,1,1)),flip(a)]. given #1371 (H,wt=17): 1564 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(131,a,1563,a)]. given #1372 (H,wt=21): 1565 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(9(a,1),1563(a,1,2)),flip(a)]. given #1373 (H,wt=17): 1568 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(9(a,1),1565(a,1,1)),flip(a)]. given #1374 (H,wt=17): 1569 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [hyper(131,a,1568,a)]. given #1375 (H,wt=24): 1113 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1099(a,1),227(a,1,1)),flip(b)]. given #1376 (H,wt=24): 1156 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(1154(a,1),303(a,1,1)),flip(b)]. given #1377 (H,wt=24): 1203 (x * (y * x)) / x != T(x,y * x) * z | T(y,T(x,y * x)) = z. [para(1177(a,2),217(a,2)),flip(a)]. given #1378 (H,wt=24): 1223 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1218(a,1),217(a,2)),flip(a)]. given #1379 (H,wt=24): 1242 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1230(a,2),513(a,1))]. given #1380 (H,wt=24): 1250 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1237(a,1),16(a,2,1)),flip(a)]. given #1381 (H,wt=24): 1343 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1340(a,1),734(a,1,1))]. given #1382 (H,wt=20): 1570 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(404(a,1),1343(a,1,2)),flip(a)]. given #1383 (H,wt=16): 1571 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(404(a,1),1570(a,1,2)),flip(a)]. given #1384 (H,wt=22): 1572 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1571(a,1),31(a,1,1)),flip(a)]. given #1385 (H,wt=24): 1377 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1376(a,1),171(a,1,1))]. given #1386 (H,wt=24): 1423 x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. [para(1418(a,1),978(a,1,2,2))]. given #1387 (H,wt=24): 1506 x * (x * T(x \ T(y,x),x)) != x * z | T((x \ y) * x,x) = z. [para(1504(a,2),217(a,2)),flip(a)]. given #1388 (H,wt=24): 1553 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(29(a,1),845(a,1,2))]. given #1389 (H,wt=23): 1575 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(818(a,1),1553(a,1,2,1)),flip(a)]. given #1390 (H,wt=23): 1576 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(583(a,1),1575(a,1,1))]. given #1391 (H,wt=22): 1578 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1412(a,1),1576(a,1,1,2)),flip(a)]. given #1392 (H,wt=22): 1579 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1389(a,2),1578(a,2,1))]. given #1393 (H,wt=23): 1577 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(127,a,1576,a)]. given #1394 (H,wt=24): 1574 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(286,a,1389,a,b,1377,a),flip(a)]. given #1395 (H,wt=25): 657 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(195(a,2),93(a,1,2,2,1))]. given #1396 (H,wt=25): 702 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(197(a,2),481(a,1,1,2))]. given #1397 (H,wt=25): 708 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(614(a,1),323(a,1,1)),flip(a)]. given #1398 (H,wt=21): 1581 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(10(a,1),708(a,2,1,1,2))]. given #1399 (H,wt=21): 1582 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(286,a,400,a(flip),b,1581,a),flip(a)]. given #1400 (H,wt=21): 1583 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(11(a,1),1582(a,1,1,1,2))]. given #1401 (H,wt=25): 747 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(85(a,1),435(a,1,1)),flip(a)]. given #1402 (H,wt=25): 797 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(767(a,1),266(a,1,1))]. given #1403 (H,wt=25): 840 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(613(a,2),262(a,1,2))]. given #1404 (H,wt=25): 844 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(116,a,653,a(flip),b,108,a)]. given #1405 (H,wt=25): 890 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(94(a,1),433(a,1,2,1))]. given #1406 (H,wt=25): 891 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),433(a,1,2,1))]. given #1407 (H,wt=25): 892 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(94(a,1),434(a,1,2,1))]. given #1408 (H,wt=25): 893 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),434(a,1,2,1))]. given #1409 (H,wt=25): 897 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(105(a,1),469(a,1,1,1))]. given #1410 (H,wt=25): 932 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(792(a,1),104(a,1,1))]. given #1411 (H,wt=25): 995 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(384(a,1),987(a,2,2)),flip(a)]. given #1412 (H,wt=20): 1587 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(797,a,995,a)]. given #1413 (H,wt=18): 1588 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1080(a,1),1587(a,1,1))]. given #1414 (H,wt=18): 1589 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(127,a,1588,a)]. given #1415 (H,wt=20): 1590 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(204(a,1),1588(a,1,1,2)),flip(a)]. given #1416 (H,wt=21): 1591 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1588(a,1),227(a,1,1)),flip(b)]. given #1417 (H,wt=25): 1039 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(216,a,1038,a,b,10,a),flip(a)]. given #1418 (H,wt=25): 1043 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(22(a,2),903(a,1,2,1)),flip(a)]. given #1419 (H,wt=21): 1595 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(286,a,215,a(flip),b,1043,a),flip(a)]. given #1420 (H,wt=25): 1101 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(76(a,1),1062(a,1,1,1,2))]. given #1421 (H,wt=21): 1597 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(76(a,1),1101(a,1,2)),flip(a)]. given #1422 (H,wt=19): 1598 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(7(a,1),1597(a,2,1,1))]. given #1423 (H,wt=15): 1599 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(76(a,1),1598(a,1,2,1))]. given #1424 (H,wt=15): 1600 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(127,a,1599,a)]. given #1425 (H,wt=23): 1601 L(x,y,z) / x != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(1599(a,1),217(a,2)),flip(a)]. given #1426 (H,wt=25): 1138 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(445(a,1),686(a,1,2,1)),flip(a)]. given #1427 (H,wt=25): 1139 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(692(a,1),425(a,1,2)),flip(a)]. given #1428 (H,wt=25): 1140 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(701(a,1),332(a,1,1)),flip(a)]. given #1429 (H,wt=23): 1606 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1140(a,2,1,1,1))]. given #1430 (H,wt=23): 1607 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(286,a,591,a(flip),b,1606,a),flip(a)]. given #1431 (H,wt=23): 1608 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(591(a,1),1607(a,1,1))]. given #1432 (H,wt=23): 1609 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(127,a,1608,a),flip(a)]. given #1433 (H,wt=25): 1144 (x \ y) * (y \ x) != z * (x \ y) | L(1 / (x \ y),x \ y,x) = z. [para(760(a,1),43(a,1))]. given #1434 (H,wt=25): 1145 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(762(a,2),45(a,1))]. given #1435 (H,wt=25): 1146 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(195(a,1),785(a,1,2,1,2))]. given #1436 (H,wt=19): 1611 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1003,a,1146,a)]. given #1437 (H,wt=19): 1612 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1002,a,1146,a),flip(a)]. given #1438 (H,wt=20): 1616 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1611(a,2),1291(a,1,1)),flip(a)]. given #1439 (H,wt=21): 1614 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(116,a,1611,a(flip),b,873,a)]. given #1440 (H,wt=21): 1618 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1489(a,1),1612(a,1,2))]. given #1441 (H,wt=22): 1615 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1611(a,1),46(a,1)),flip(a)]. given #1442 (H,wt=25): 1149 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(786(a,1),426(a,1,2)),flip(a)]. given #1443 (H,wt=25): 1226 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(204(a,1),861(a,1,2,2))]. given #1444 (H,wt=23): 1621 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1171(a,1),1226(a,1,2))]. given #1445 (H,wt=25): 1243 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1230(a,1),210(a,1,2))]. given #1446 (H,wt=18): 1622 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(304,a,1243,a),flip(a)]. given #1447 (H,wt=25): 1289 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(73(a,1),1288(a,1,2,1,1)),flip(a)]. given #1448 (H,wt=21): 1623 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(73(a,1),1289(a,1,1,1)),flip(a)]. given #1449 (H,wt=25): 1490 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(216,a,1486,a,b,10,a),flip(a)]. given #1450 (H,wt=25): 1499 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(824(a,1),1491(a,1,2)),flip(a)]. given #1451 (H,wt=25): 1500 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(912(a,1),1491(a,1,2)),flip(a)]. given #1452 (H,wt=25): 1516 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(584(a,1),1512(a,2,1,1))]. given #1453 (H,wt=25): 1559 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(216,a,1558,a,b,10,a)]. given #1454 (H,wt=25): 1566 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(216,a,1564,a,b,10,a)]. given #1455 (H,wt=25): 1573 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1571(a,1),1134(a,1,1))]. given #1456 (H,wt=23): 1624 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(223(a,1),1573(a,1,2))]. given #1457 (H,wt=21): 1625 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(286,a,1521,a(flip),b,1624,a),flip(a)]. given #1458 (H,wt=25): 1585 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(770,a,897,a)]. given #1459 (H,wt=25): 1592 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1589(a,1),925(a,1,3)),flip(a)]. given #1460 (H,wt=25): 1594 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1039(a,1),382(a,1))]. given #1461 (H,wt=25): 1604 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(121,a,1138,a)]. given #1462 (H,wt=23): 1627 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1604(a,1,2,2,1,2)),flip(a)]. given #1463 (H,wt=25): 1605 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(121,a,1139,a)]. given #1464 (H,wt=23): 1630 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(8(a,1),1605(a,1,2,2,1,2)),flip(a)]. given #1465 (H,wt=25): 1620 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(121,a,1149,a)]. given #1466 (H,wt=21): 1632 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1620(a,1,2,2,1))]. given #1467 (H,wt=17): 1633 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(417,a,1632,a)]. given #1468 (H,wt=17): 1635 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(286,a,1165,a(flip),b,1633,a),flip(a)]. given #1469 (H,wt=17): 1641 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [hyper(131,a,1635,a(flip))]. given #1470 (H,wt=19): 1636 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(73(a,1),1633(a,1,2,1)),flip(a)]. given #1471 (H,wt=17): 1644 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(1636(a,1),1612(a,1,2)),flip(a)]. given #1472 (H,wt=20): 1634 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1632(a,1),417(a,1))]. given #1473 (H,wt=20): 1645 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(102(a,2),1644(a,1,2))]. given #1474 (H,wt=16): 1646 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(11(a,1),1645(a,2,2,2))]. given #1475 (H,wt=21): 1637 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(918(a,1),1633(a,1,2)),flip(a)]. given #1476 (H,wt=24): 1640 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1600(a,1),1633(a,1,2)),flip(a)]. given #1477 (H,wt=24): 1647 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1646(a,1),943(a,1,2,1)),flip(a)]. given #1478 (H,wt=19): 1649 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1646(a,1),1647(a,1,1)),flip(a)]. given #1479 (H,wt=17): 1650 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [hyper(305,a,1649,a),flip(a)]. given #1480 (H,wt=13): 1651 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(286,a,9,a(flip),b,1650,a),flip(a)]. given #1481 (H,wt=16): 1655 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(1651(a,1),227(a,1,1)),flip(b)]. given #1482 (H,wt=17): 1652 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(216,a,1650,a,b,152,a(flip))]. given #1483 (H,wt=24): 1653 x \ (x * K(x,y)) != (x \ 1) * z | T(x * K(x,y),x \ 1) = z. [para(1650(a,1),217(a,2)),flip(a)]. given #1484 (H,wt=25): 1626 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(583(a,1),1585(a,2,1))]. given #1485 (H,wt=21): 1660 (x * L(x \ (x * y),z,u)) * y = (x * y) * L(y,z,u). [para(9(a,1),1626(a,1,2,1)),flip(a)]. given #1486 (H,wt=17): 1662 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(9(a,1),1660(a,1,1,2,1))]. given #1487 (H,wt=15): 1664 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(396,a,1662,a),flip(a)]. given #1488 (H,wt=17): 1663 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(568,a,1662,a)]. given #1489 (H,wt=17): 1665 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(286,a,142,a(flip),b,1662,a),flip(a)]. given #1490 (H,wt=17): 1666 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(121,a,1662,a)]. given #1491 (H,wt=17): 1667 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1662,a)]. given #1492 (H,wt=17): 1669 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(216,a,1664,a,b,10,a)]. given #1493 (H,wt=18): 1671 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(116,a,92,a(flip),b,1665,a),flip(a)]. given #1494 (H,wt=18): 1672 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1666(a,1),1307(a,1,1)),flip(a)]. given #1495 (H,wt=18): 1674 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(121,a,1671,a),flip(a)]. given #1496 (H,wt=19): 1675 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1672(a,1),587(a,1,2))]. given #1497 (H,wt=20): 1670 x / L(x,y,z) != x * u | T(1 / L(x,y,z),x) = u. [para(1664(a,1),217(a,2)),flip(a)]. given #1498 (H,wt=22): 1673 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1669(a,1),223(a,1,1))]. given #1499 (H,wt=23): 1658 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(216,a,1626,a(flip),b,893,a(flip)),flip(a)]. given #1500 (H,wt=21): 1676 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1658(a,1,2,1,2)),flip(a)]. given #1501 (H,wt=21): 1677 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(115,a,1676,a,b,xx)]. given #1502 (H,wt=21): 1678 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(9(a,1),1677(a,1,2,1,2,1)),flip(a)]. given #1503 (H,wt=21): 1679 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1514(a,1),1678(a,1,1)),flip(a)]. given #1504 (H,wt=21): 1680 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(62,a,1516,a(flip),b,1679,a),flip(a)]. given #1505 (H,wt=23): 1659 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(7(a,1),1626(a,1,2,1,2))]. given #1506 (H,wt=12): 1682 T(x,x * L(x \ 1,y,z)) = x. [hyper(216,a,800,a(flip),b,1659,a(flip))]. given #1507 (H,wt=12): 1684 K(x,x * L(x \ 1,y,z)) = 1. [hyper(54,a,1682,a)]. given #1508 (H,wt=14): 1686 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1598(a,1),1682(a,1,2))]. given #1509 (H,wt=15): 1685 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(354(a,1),1682(a,1,2,2))]. given #1510 (H,wt=22): 1687 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1686(a,1),408(a,2,1,2))]. given #1511 (H,wt=22): 1688 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1685(a,1),598(a,1,2)),flip(a)]. given #1512 (H,wt=23): 1681 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(62,a,893,a(flip),b,1659,a)]. given #1513 (H,wt=22): 1690 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1412(a,1),1681(a,2,1,2))]. given #1514 (H,wt=19): 1691 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1579(a,1),1690(a,1,2))]. given #1515 (H,wt=13): 1693 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(33,a,8,a(flip),b,1691,a),flip(a)]. given #1516 (H,wt=16): 1695 K(x,x \ 1) * y != 1 / x | x \ 1 = y. [para(1693(a,1),42(a,1)),flip(a)]. given #1517 (H,wt=19): 1694 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1389(a,2),1691(a,2,1))]. given #1518 (H,wt=19): 1698 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(9(a,1),1694(a,1,2,2)),flip(a)]. given #1519 (H,wt=20): 1692 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(33,a,92,a(flip),b,1691,a),flip(a)]. given #1520 (H,wt=21): 1697 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(33,a,1466,a(flip),b,1694,a),flip(a)]. given #1521 (H,wt=21): 1699 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(22(a,2),1694(a,1,2,2))]. given #1522 (H,wt=22): 1700 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1694(a,1),42(a,1))]. given #1523 (H,wt=23): 1696 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1693(a,1),1550(a,1,1,1)),flip(a)]. given #1524 (H,wt=19): 1704 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1390(a,1),1696(a,1,2,1)),flip(a)]. given #1525 (H,wt=23): 1702 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1692(a,1),42(a,1)),flip(a)]. given #1526 (H,wt=24): 1705 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(364(a,1),1704(a,1,1)),flip(a)]. given #1527 (H,wt=17): 1706 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(364(a,1),1705(a,1,2)),flip(a)]. given #1528 (H,wt=17): 1707 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(129,a,1706,a)]. given #1529 (H,wt=20): 1710 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(1706(a,1),263(a,1,1)),flip(b)]. given #1530 (H,wt=21): 1708 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(73(a,1),1706(a,1,1)),flip(a)]. given #1531 (H,wt=17): 1711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(73(a,1),1708(a,1,2)),flip(a)]. given #1532 (H,wt=21): 1709 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(73(a,1),1706(a,1,2,1)),flip(a)]. given #1533 (H,wt=17): 1713 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(570,a,1709,a),flip(a)]. given #1534 (H,wt=17): 1715 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [hyper(129,a,1713,a)]. given #1535 (H,wt=20): 1716 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(286,a,363,a,b,1715,a),flip(a)]. given #1536 (H,wt=25): 1628 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(10(a,1),1604(a,1,2,2,1,2)),flip(a)]. given #1537 (H,wt=25): 1648 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(402(a,2),1637(a,1,2,1))]. given #1538 (H,wt=25): 1656 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(62,a,893,a(flip),b,1626,a)]. given #1539 (H,wt=25): 1689 (x \ y) * (y \ x) != z * (x \ y) | L(y \ x,x \ y,y \ x) = z. [para(1688(a,1),43(a,1))]. given #1540 (H,wt=25): 1718 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(12(a,1),1656(a,1,2,2,1,2,2)),flip(a)]. given #1541 (H,wt=26): 429 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(92(a,1),18(a,2,1)),flip(a)]. given #1542 (H,wt=26): 454 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(92(a,1),94(a,2,1))]. given #1543 (H,wt=19): 1722 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(286,a,14,a,b,454,a)]. given #1544 (H,wt=26): 467 ((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 #1545 (H,wt=26): 477 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 #1546 (H,wt=26): 487 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 #1547 (H,wt=26): 622 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(282(a,2),18(a,2,1)),flip(a)]. given #1548 (H,wt=26): 623 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(282(a,2),307(a,1,1))]. given #1549 (H,wt=15): 1723 K(x,T(y,y \ z)) = K(x,(y \ z) \ z). [hyper(623,a,619,a),flip(a)]. given #1550 (H,wt=18): 1724 K(x,T(y,y \ z)) != u | K(x,(y \ z) \ z) = u. [para(619(a,1),623(a,1))]. given #1551 (H,wt=26): 710 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(616(a,2),304(a,1,2))]. given #1552 (H,wt=26): 751 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(92(a,1),439(a,1,2,2))]. given #1553 (H,wt=26): 801 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(360(a,1),261(a,1,2))]. given #1554 (H,wt=26): 814 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(108(a,1),491(a,1,2))]. given #1555 (H,wt=26): 815 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),261(a,1,2))]. given #1556 (H,wt=26): 857 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(62,a,464,a,b,780,a)]. given #1557 (H,wt=23): 1725 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(796(a,1),857(a,1,1))]. given #1558 (H,wt=26): 864 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(812(a,1),217(a,2)),flip(a)]. given #1559 (H,wt=26): 939 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(94(a,1),740(a,1,2,1))]. given #1560 (H,wt=26): 940 T((x * y) / (z * y),u) * (z * y) != w | (T(x / z,u) * z) * y = w. [para(105(a,1),743(a,1,1,1))]. given #1561 (H,wt=26): 975 T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. [para(949(a,1),638(a,1,1))]. given #1562 (H,wt=26): 1010 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(458(a,1),1008(a,1,1,1,1))]. given #1563 (H,wt=25): 1728 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(458(a,1),1010(a,1,2))]. given #1564 (H,wt=25): 1729 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(27(a,2),1728(a,1,1,1))]. given #1565 (H,wt=18): 1730 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(464(a,1),1729(a,1,1))]. given #1566 (H,wt=22): 1731 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1730(a,1),23(a,1,1)),flip(a)]. given #1567 (H,wt=18): 1732 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(863(a,1),1731(a,1,1))]. given #1568 (H,wt=22): 1733 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1732(a,1,1)),flip(a)]. given #1569 (H,wt=19): 1734 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(560(a,1),1733(a,2,2))]. given #1570 (H,wt=15): 1735 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1734(a,1,1))]. given #1571 (H,wt=13): 1736 T(x,x * (y \ 1)) = T(x,y \ x). [para(110(a,1),1735(a,1,2)),flip(a)]. given #1572 (H,wt=26): 1074 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1068(a,1),452(a,1,2,1))]. given #1573 (H,wt=26): 1093 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(611(a,1),1085(a,2,1))]. given #1574 (H,wt=26): 1124 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(216,a,1117,a(flip),b,289,a),flip(a)]. given #1575 (H,wt=26): 1162 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(635(a,2),42(a,1))]. given #1576 (H,wt=26): 1210 ((x \ y) * y) / (x \ y) != T(x \ y,y) * z | T(x,T(x \ y,y)) = z. [para(1195(a,2),217(a,2)),flip(a)]. given #1577 (H,wt=26): 1238 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(216,a,1230,a(flip),b,289,a),flip(a)]. given #1578 (H,wt=26): 1239 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(115,a,1230,a(flip),b,85,a)]. given #1579 (H,wt=26): 1273 x * K(y \ (y / (x \ z)),y) != u * w | u \ (z * T(z \ x,y)) = w. [para(1267(a,1),513(a,1))]. given #1580 (H,wt=26): 1292 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(952(a,1),1291(a,1,1,2,1))]. given #1581 (H,wt=25): 1737 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(484(a,1),1292(a,2,2))]. given #1582 (H,wt=23): 1738 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(7(a,1),1737(a,2,2,1))]. given #1583 (H,wt=21): 1739 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1531(a,1),1738(a,1,1))]. given #1584 (H,wt=17): 1740 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(265,a,1739,a),flip(a)]. given #1585 (H,wt=19): 1742 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(62,a,1618,a,b,1740,a)]. given #1586 (H,wt=21): 1743 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1531(a,2),1742(a,1,2))]. given #1587 (H,wt=26): 1305 (T(x / y,z) * y) * u != (y * u) * w | T((y * u) \ (x * u),z) = w. [para(1168(a,1),42(a,1))]. given #1588 (H,wt=26): 1308 T(x \ (((x / y) * z) * y),x / y) = R(T(z,(x / y) * y),x / y,y). [para(12(a,1),1307(a,1,1,1))]. given #1589 (H,wt=22): 1744 T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),x / y,y). [para(12(a,1),1308(a,2,1,2))]. given #1590 (H,wt=26): 1465 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1046(a,1),1463(a,1,1,2,1))]. given #1591 (H,wt=25): 1745 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(235(a,1),1465(a,1,1))]. given #1592 (H,wt=24): 1746 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1427(a,1),1745(a,1,1))]. given #1593 (H,wt=26): 1484 (x * y) * T((x * y) \ (z * y),u) != w | (x * T(x \ z,u)) * y = w. [para(1331(a,1),232(a,1,2)),flip(b)]. given #1594 (H,wt=26): 1593 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1590(a,1),958(a,1,2,1)),flip(a)]. given #1595 (H,wt=21): 1748 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1590(a,1),1593(a,1,1)),flip(a)]. given #1596 (H,wt=26): 1617 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(1612(a,1),489(a,1,2))]. given #1597 (H,wt=26): 1747 x * (y * T(y \ (x \ (z * y)),u)) != w | (x * T(x \ z,u)) * y = w. [para(805(a,1),1484(a,1))]. given #1598 (H,wt=27): 448 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),94(a,1,1)),flip(a)]. given #1599 (H,wt=27): 660 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(92(a,1),95(a,1,2,2)),flip(a)]. given #1600 (H,wt=27): 711 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(616(a,1),307(a,1,1))]. given #1601 (H,wt=27): 756 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(271(a,1),471(a,2,2))]. given #1602 (H,wt=27): 934 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(236(a,2),514(a,1,2))]. given #1603 (H,wt=27): 1051 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1045(a,1),647(a,2,1))]. given #1604 (H,wt=27): 1060 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1055(a,1),94(a,2,1))]. given #1605 (H,wt=27): 1091 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(988(a,1),1083(a,1,2,1,2))]. given #1606 (H,wt=25): 1749 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1196(a,1),1091(a,1,2,1))]. given #1607 (H,wt=25): 1750 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(131,a,1749,a)]. given #1608 (H,wt=23): 1751 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(62,a,1265,a(flip),b,1750,a),flip(a)]. given #1609 (H,wt=27): 1127 R(x,y,z) * (x * u) != (R(x,y,z) * u) * w | T(x,R(x,y,z) * u) = w. [para(1117(a,2),217(a,2)),flip(a)]. given #1610 (H,wt=27): 1136 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(662(a,1),1130(a,1,1)),flip(a)]. given #1611 (H,wt=23): 1752 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(10(a,1),1136(a,1,2,1)),flip(a)]. given #1612 (H,wt=27): 1147 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(94(a,1),785(a,1,2,1,2))]. given #1613 (H,wt=27): 1148 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),785(a,1,2,1,2))]. given #1614 (H,wt=27): 1152 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(808(a,1),437(a,1,2))]. given #1615 (H,wt=21): 1754 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(216,a,1306,a(flip),b,1152,a(flip)),flip(a)]. given #1616 (H,wt=26): 1755 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(981(a,1),1152(a,2,2))]. given #1617 (H,wt=22): 1756 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(16(a,2),1755(a,1,2,1)),flip(a)]. given #1618 (H,wt=27): 1241 L(x,y,z) * (x * u) != (L(x,y,z) * u) * w | T(x,L(x,y,z) * u) = w. [para(1230(a,2),217(a,2)),flip(a)]. given #1619 (H,wt=27): 1251 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) != u | K(L(x,y,z) \ 1,x) = u. [para(1237(a,1),307(a,1,1))]. given #1620 (H,wt=27): 1274 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(11(a,1),1269(a,1,1,2))]. given #1621 (H,wt=27): 1276 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(9(a,1),1266(a,1,2,1)),flip(a)]. given #1622 (H,wt=27): 1285 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(11(a,1),1284(a,1,1,2))]. given #1623 (H,wt=27): 1287 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(286,a,397,a(flip),b,1282,a),flip(a)]. given #1624 (H,wt=27): 1403 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1385(a,1),439(a,1,2,2))]. given #1625 (H,wt=27): 1448 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1443(a,1),473(a,1,1,1))]. given #1626 (H,wt=27): 1482 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(804(a,1),1330(a,1,1)),flip(a)]. given #1627 (H,wt=27): 1485 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1332(a,1,2,2,1,2,2))]. given #1628 (H,wt=27): 1494 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(824(a,1),1486(a,1,1)),flip(a)]. given #1629 (H,wt=25): 1758 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [hyper(532,a,1494,a),flip(a)]. given #1630 (H,wt=25): 1761 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(62,a,1505,a,b,1758,a)]. given #1631 (H,wt=17): 1762 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(77(a,1),1761(a,1,1))]. given #1632 (H,wt=17): 1763 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(9(a,1),1762(a,2,2,1,2)),flip(a)]. given #1633 (H,wt=23): 1764 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(86(a,1),1763(a,1,2,1)),flip(a)]. given #1634 (H,wt=24): 1765 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1763(a,1),413(a,1,2))]. given #1635 (H,wt=27): 1528 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1439(a,1),1525(a,1,2,1))]. given #1636 (H,wt=23): 1766 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1439(a,1),1528(a,2,1))]. given #1637 (H,wt=23): 1767 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(121,a,1766,a)]. given #1638 (H,wt=27): 1552 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(789(a,1),425(a,1,2)),flip(a)]. given #1639 (H,wt=25): 1769 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1552(a,2,2,1,2,2))]. given #1640 (H,wt=21): 1770 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1633(a,2),1769(a,1,2))]. given #1641 (H,wt=25): 1771 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),1770(a,1,2,2,1,2)),flip(a)]. given #1642 (H,wt=27): 1596 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(952(a,1),1595(a,1,2,1,2))]. given #1643 (H,wt=19): 1772 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(10(a,1),1596(a,1,2,1)),flip(a)]. given #1644 (H,wt=27): 1602 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1599(a,1),94(a,2,1))]. given #1645 (H,wt=27): 1638 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1206(a,1),1633(a,1,2)),flip(a)]. given #1646 (H,wt=25): 1773 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(983(a,1),1638(a,1,2,1))]. given #1647 (H,wt=27): 1639 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1318(a,1),1633(a,1,2)),flip(a)]. given #1648 (H,wt=25): 1774 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1297(a,1),1639(a,1,2,1))]. given #1649 (H,wt=27): 1642 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(952(a,1),1635(a,2,2,1))]. given #1650 (H,wt=27): 1657 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(62,a,800,a(flip),b,1626,a),flip(a)]. given #1651 (H,wt=25): 1775 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(800(a,1),1657(a,1,1))]. given #1652 (H,wt=24): 1777 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(353(a,1),1775(a,1,1,2,2)),flip(a)]. given #1653 (H,wt=19): 1778 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(353(a,1),1777(a,1,2,2)),flip(a)]. given #1654 (H,wt=19): 1779 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1389(a,2),1778(a,1,1,2))]. given #1655 (H,wt=19): 1780 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1389(a,2),1779(a,2,2))]. given #1656 (H,wt=13): 1782 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(116,a,270,a(flip),b,1780,a),flip(a)]. given #1657 (H,wt=19): 1781 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(121,a,1780,a)]. given #1658 (H,wt=19): 1783 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(116,a,142,a(flip),b,1780,a)]. given #1659 (H,wt=20): 1784 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1781(a,1),1307(a,1,1)),flip(a)]. given #1660 (H,wt=24): 1785 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1783(a,1),638(a,1,1))]. given #1661 (H,wt=25): 1776 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(116,a,142,a(flip),b,1775,a)]. given #1662 (H,wt=27): 1701 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1435(a,1),1694(a,1,2,1))]. given #1663 (H,wt=27): 1719 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [hyper(216,a,1718,a,b,10,a),flip(a)]. given #1664 (H,wt=27): 1726 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(76(a,1),1725(a,1,2))]. given #1665 (H,wt=23): 1787 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(76(a,1),1726(a,1,1,1,2,2)),flip(a)]. given #1666 (H,wt=17): 1788 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1002,a,1787,a),flip(a)]. given #1667 (H,wt=18): 1791 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1788(a,1),1213(a,1,1))]. given #1668 (H,wt=19): 1790 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(10(a,1),1788(a,1,1,1,2)),flip(a)]. given #1669 (H,wt=17): 1792 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(286,a,1322,a(flip),b,1790,a),flip(a)]. given #1670 (H,wt=17): 1793 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(9(a,1),1792(a,1,2,2,2)),flip(a)]. given #1671 (H,wt=21): 1789 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(7(a,1),1787(a,2,1,1,2))]. given #1672 (H,wt=27): 1757 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1685(a,1),1274(a,2,2,2))]. given #1673 (H,wt=21): 1794 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(286,a,229,a(flip),b,1757,a),flip(a)]. given #1674 (H,wt=19): 1796 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1794(a,1),1030(a,1,1)),flip(a)]. given #1675 (H,wt=17): 1797 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(62,a,1566,a(flip),b,1796,a)]. given #1676 (H,wt=18): 1798 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(382,a,1797,a)]. given #1677 (H,wt=21): 1799 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),1797(a,1,1,2))]. given #1678 (H,wt=17): 1802 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),1799(a,2,2))]. given #1679 (H,wt=14): 1803 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(382,a,1802,a)]. given #1680 (H,wt=17): 1804 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(182,a,1802,a)]. given #1681 (H,wt=17): 1805 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(131,a,1802,a)]. given #1682 (H,wt=18): 1808 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(195(a,2),1805(a,1,1,1)),flip(a)]. given #1683 (H,wt=19): 1806 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1803(a,1),360(a,1,1)),flip(a)]. given #1684 (H,wt=19): 1809 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(565,a,1808,a)]. given #1685 (H,wt=22): 1800 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),1798(a,1,3))]. given #1686 (H,wt=17): 1810 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(453,a,1800,a)]. given #1687 (H,wt=24): 1801 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1798(a,1),1627(a,1,2)),flip(a)]. given #1688 (H,wt=24): 1811 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(286,a,1389,a,b,1801,a),flip(a)]. given #1689 (H,wt=24): 1812 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(131,a,1811,a),flip(a)]. given #1690 (H,wt=27): 1760 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1115(a,2),1494(a,1,2)),flip(a)]. given #1691 (H,wt=25): 1813 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(70(a,1),1760(a,1,1,2,1,2)),flip(a)]. given #1692 (H,wt=23): 1814 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(8(a,1),1813(a,2,1,2,1))]. given #1693 (H,wt=21): 1816 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(33,a,153,a(flip),b,1814,a),flip(a)]. given #1694 (H,wt=27): 1768 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(121,a,1552,a)]. given #1695 (H,wt=27): 1817 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),1768(a,1,2,2,1,2,2)),flip(a)]. given #1696 (H,wt=28): 759 x \ L(L((x \ 1) \ y,z,u),x \ 1,x) = L(y / (x \ 1),z,u) * (x \ 1). [hyper(286,a,393,a,b,583,a)]. given #1697 (H,wt=23): 1818 L(x / (y \ 1),z,u) * (y \ 1) = y \ L(1 \ (y * x),z,u). [para(693(a,1),759(a,1,2)),flip(a)]. given #1698 (H,wt=21): 1819 L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,z,u). [para(64(a,1),1818(a,2,2,1))]. given #1699 (H,wt=21): 1820 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(770,a,1819,a)]. given #1700 (H,wt=19): 1821 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1820(a,2,2,1))]. given #1701 (H,wt=14): 1822 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1821(a,1),1682(a,1,2))]. given #1702 (H,wt=16): 1823 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1233(a,2),1822(a,1,2))]. given #1703 (H,wt=20): 1824 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1823(a,1),730(a,1,1))]. given #1704 (H,wt=28): 763 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(105(a,2),591(a,1,1,1))]. given #1705 (H,wt=25): 1825 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(745,a,763,a),flip(a)]. given #1706 (H,wt=25): 1826 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(591(a,1),1825(a,2,1))]. given #1707 (H,wt=21): 1832 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1826(a,1,2,1)),flip(a)]. given #1708 (H,wt=17): 1836 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1832(a,1,1,2,1))]. given #1709 (H,wt=15): 1838 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(396,a,1836,a),flip(a)]. given #1710 (H,wt=17): 1837 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(518,a,1836,a)]. given #1711 (H,wt=17): 1839 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(121,a,1836,a)]. given #1712 (H,wt=17): 1840 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(116,a,142,a(flip),b,1836,a)]. given #1713 (H,wt=18): 1842 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1839(a,1),1307(a,1,1)),flip(a)]. given #1714 (H,wt=19): 1844 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1842(a,1),587(a,1,2))]. given #1715 (H,wt=19): 1845 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(116,a,67,a(flip),b,1844,a)]. given #1716 (H,wt=19): 1847 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(62,a,280,a(flip),b,1845,a)]. given #1717 (H,wt=20): 1841 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1837(a,1),258(a,1,2))]. given #1718 (H,wt=18): 1848 x / R(x,y,z) != u | (1 / R(x,y,z)) * x = u. [para(7(a,1),1841(a,1,1))]. given #1719 (H,wt=23): 1829 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(216,a,1826,a(flip),b,891,a(flip)),flip(a)]. given #1720 (H,wt=21): 1849 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1829(a,1,2,1,2)),flip(a)]. given #1721 (H,wt=19): 1852 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(253(a,1),1849(a,2,2,1,2))]. given #1722 (H,wt=12): 1853 T(x,x * R(x \ 1,y,z)) = x. [hyper(53,a,1852,a)]. given #1723 (H,wt=11): 1856 T(x,(y / (x * y)) * x) = x. [para(616(a,2),1853(a,1,2))]. given #1724 (H,wt=14): 1858 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1042(a,1),1853(a,1,2))]. given #1725 (H,wt=15): 1859 T(x / y,(y / x) * (x / y)) = x / y. [para(709(a,1),1853(a,1,2))]. given #1726 (H,wt=16): 1855 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(76(a,1),1853(a,1,2,2,1))]. given #1727 (H,wt=16): 1857 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(593(a,1),1853(a,1,2))]. given #1728 (H,wt=18): 1861 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1858(a,1),23(a,1,1)),flip(a)]. given #1729 (H,wt=19): 1862 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(11(a,1),1859(a,1,2,1))]. given #1730 (H,wt=20): 1864 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1857(a,1),730(a,1,1))]. given #1731 (H,wt=20): 1865 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1862(a,1),730(a,1,1))]. given #1732 (H,wt=19): 1866 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(286,a,611,a(flip),b,1865,a),flip(a)]. given #1733 (H,wt=21): 1850 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(116,a,1849,a,b,591,a)]. given #1734 (H,wt=21): 1851 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(115,a,1849,a,b,xx)]. given #1735 (H,wt=21): 1868 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(9(a,1),1850(a,1,1,1,2,1)),flip(a)]. given #1736 (H,wt=23): 1831 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1826(a,1,2,1,2))]. given #1737 (H,wt=23): 1870 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(62,a,891,a(flip),b,1831,a)]. given #1738 (H,wt=25): 1827 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(62,a,891,a(flip),b,1826,a)]. given #1739 (H,wt=25): 1843 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1842(a,1),215(a,1,2)),flip(a)]. given #1740 (H,wt=25): 1860 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1856(a,1),1158(a,1,1,1)),flip(a)]. given #1741 (H,wt=24): 1873 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(611(a,1),1860(a,1,2))]. given #1742 (H,wt=25): 1863 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1855(a,1),600(a,1,1,2))]. given #1743 (H,wt=25): 1874 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1863(a,1),1051(a,1,1))]. given #1744 (H,wt=23): 1875 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(62,a,224,a(flip),b,1874,a)]. given #1745 (H,wt=27): 1828 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(216,a,1826,a(flip),b,1139,a),flip(a)]. given #1746 (H,wt=25): 1876 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1828(a,1,1))]. given #1747 (H,wt=23): 1877 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1876(a,1,2,1,1))]. given #1748 (H,wt=27): 1854 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1852(a,1),1511(a,2,2,1))]. given #1749 (H,wt=23): 1879 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(610(a,1),1854(a,2,2))]. given #1750 (H,wt=19): 1880 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(610(a,1),1879(a,1,1,2))]. given #1751 (H,wt=18): 1881 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(197(a,1),1880(a,1,1,2))]. given #1752 (H,wt=17): 1882 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(197(a,1),1881(a,2,2))]. given #1753 (H,wt=11): 1884 T(x,x * (y / (x * y))) = x. [hyper(53,a,1882,a)]. given #1754 (H,wt=11): 1885 T(x,x * ((x \ y) / y)) = x. [para(10(a,1),1884(a,1,2,2,2))]. given #1755 (H,wt=15): 1886 T(x / y,(x / y) * (y / x)) = x / y. [para(12(a,1),1884(a,1,2,2,2))]. given #1756 (H,wt=17): 1889 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1886(a,1),223(a,1,1)),flip(a)]. given #1757 (H,wt=15): 1890 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(286,a,110,a(flip),b,1889,a),flip(a)]. given #1758 (H,wt=19): 1887 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1885(a,1),283(a,1,1)),flip(a)]. given #1759 (H,wt=19): 1888 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(11(a,1),1886(a,1,2,2))]. given #1760 (H,wt=21): 1893 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(53,a,1888,a)]. given #1761 (H,wt=22): 1883 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(62,a,1873,a,b,1882,a)]. given #1762 (H,wt=27): 1871 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(62,a,890,a(flip),b,1831,a)]. given #1763 (H,wt=25): 1894 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1831(a,1),1871(a,1,2)),flip(a)]. given #1764 (H,wt=27): 1891 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1890(a,1),1285(a,2,1,2))]. given #1765 (H,wt=23): 1896 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(10(a,1),1891(a,2,1))]. given #1766 (H,wt=21): 1897 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(286,a,70,a(flip),b,1896,a),flip(a)]. given #1767 (H,wt=28): 777 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(18(a,2),610(a,1,1,2,1))]. given #1768 (H,wt=25): 1899 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(433(a,1),777(a,1,1)),flip(a)]. given #1769 (H,wt=22): 1900 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(130,a,1899,a)]. given #1770 (H,wt=24): 1901 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(108(a,1),1900(a,1,1,1,1,2))]. given #1771 (H,wt=22): 1902 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(215(a,1),1901(a,2,2))]. given #1772 (H,wt=28): 900 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(506(a,1),261(a,1,2))]. given #1773 (H,wt=28): 924 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(917(a,1),601(a,1,2))]. given #1774 (H,wt=22): 1903 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(62,a,1353,a(flip),b,924,a)]. given #1775 (H,wt=24): 1905 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1903(a,1),647(a,1,1))]. given #1776 (H,wt=22): 1906 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(62,a,224,a(flip),b,1905,a),flip(a)]. given #1777 (H,wt=20): 1907 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1906(a,1),1637(a,1,2))]. given #1778 (H,wt=28): 1040 ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. [para(1038(a,1),217(a,2))]. given #1779 (H,wt=28): 1159 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(12(a,1),868(a,1,2,1))]. given #1780 (H,wt=28): 1163 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(94(a,1),741(a,1,2,1))]. given #1781 (H,wt=28): 1164 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(268(a,1),741(a,1,2,1))]. given #1782 (H,wt=28): 1199 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(356(a,1),1192(a,1,1)),flip(a)]. given #1783 (H,wt=25): 1908 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(286,a,432,a(flip),b,1199,a),flip(a)]. given #1784 (H,wt=13): 1909 T(x,x * (y * T(y \ 1,x))) = x. [para(1908(a,1),248(a,1,2))]. given #1785 (H,wt=9): 1913 T(x,x * K(y,x)) = x. [para(1259(a,2),1909(a,1,2,2))]. given #1786 (H,wt=13): 1915 T(x * K(y,x),x) = x * K(y,x). [hyper(53,a,1913,a)]. given #1787 (H,wt=15): 1914 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1265(a,1),1909(a,1,2,2))]. given #1788 (H,wt=19): 1916 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1005(a,1),1914(a,1,2,2,2,2))]. given #1789 (H,wt=11): 1917 T(x,x * (T(x,y) \ x)) = x. [para(10(a,1),1916(a,1,2,2,2))]. given #1790 (H,wt=15): 1918 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1917(a,1),23(a,1,1)),flip(a)]. given #1791 (H,wt=15): 1919 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(975,a,1918,a)]. given #1792 (H,wt=15): 1920 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(182,a,1919,a)]. given #1793 (H,wt=13): 1923 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1187,a,1920,a)]. given #1794 (H,wt=15): 1922 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1189,a,1920,a)]. given #1795 (H,wt=21): 1925 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1923(a,1),400(a,1,1)),flip(a)]. given #1796 (H,wt=28): 1252 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(354(a,1),1244(a,1,1))]. given #1797 (H,wt=21): 1926 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(354(a,1),1252(a,1,2,2))]. given #1798 (H,wt=21): 1927 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(131,a,1926,a)]. given #1799 (H,wt=28): 1335 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1306(a,2),217(a,2)),flip(a)]. given #1800 (H,wt=28): 1404 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1397(a,1),104(a,1,2))]. given #1801 (H,wt=28): 1405 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1397(a,1),105(a,2,2))]. given #1802 (H,wt=28): 1434 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1433(a,1),92(a,1,1))]. given #1803 (H,wt=28): 1492 x * (y * T(y \ (x \ z),u)) != y * w | T(x * T(x \ (z / y),u),y) = w. [para(1486(a,1),217(a,2)),flip(a)]. given #1804 (H,wt=28): 1493 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1486(a,1),304(a,1,2))]. given #1805 (H,wt=28): 1503 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(197(a,2),1498(a,1,1,1,2))]. given #1806 (H,wt=28): 1530 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1526(a,1),210(a,1,2))]. given #1807 (H,wt=23): 1930 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1530(a,1),304(a,1))]. given #1808 (H,wt=28): 1538 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(771(a,1),1535(a,1,1,1))]. given #1809 (H,wt=28): 1560 (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. [para(1558(a,1),217(a,2))]. given #1810 (H,wt=28): 1567 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1564(a,1),217(a,2))]. given #1811 (H,wt=28): 1683 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1659(a,2),217(a,2)),flip(a)]. given #1812 (H,wt=28): 1759 (x \ T(x * (y / z),z)) * z != u | (x \ 1) * ((z \ ((x \ 1) \ y)) * z) = u. [para(1494(a,1),532(a,1))]. given #1813 (H,wt=28): 1846 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1844(a,2),471(a,1))]. given #1814 (H,wt=28): 1867 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1866(a,1),1135(a,1,1))]. given #1815 (H,wt=22): 1931 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1893(a,1),1867(a,1,2))]. given #1816 (H,wt=16): 1932 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(710,a,1931,a)]. given #1817 (H,wt=28): 1869 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1851(a,1),298(a,1,2))]. given #1818 (H,wt=28): 1872 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1831(a,2),217(a,2)),flip(a)]. given #1819 (H,wt=28): 1921 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1590(a,1),1919(a,1,1,2,1))]. given #1820 (H,wt=23): 1934 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(286,a,1590,a(flip),b,1921,a),flip(a)]. given #1821 (H,wt=29): 580 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(214(a,1),14(a,2,1,2)),flip(a)]. given #1822 (H,wt=29): 752 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(282(a,1),439(a,1,2))]. given #1823 (H,wt=17): 1936 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(752,a,622,a)]. given #1824 (H,wt=29): 807 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(360(a,1),437(a,1,2))]. given #1825 (H,wt=27): 1937 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(108(a,1),807(a,1,2,1,1)),flip(a)]. given #1826 (H,wt=23): 1938 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(216,a,1659,a(flip),b,1937,a),flip(a)]. given #1827 (H,wt=23): 1939 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(121,a,1938,a)]. given #1828 (H,wt=24): 1940 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(195(a,1),1938(a,1,2)),flip(a)]. given #1829 (H,wt=24): 1941 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(689(a,1),1938(a,2,1,2))]. given #1830 (H,wt=23): 1944 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(962(a,1),1941(a,1,2))]. given #1831 (H,wt=21): 1945 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(251(a,1),1944(a,2,1,2))]. given #1832 (H,wt=24): 1946 T(x * (1 / x),y) != T(x,y) * z | (1 / x) * (T(x,y) \ x) = z. [para(1945(a,1),42(a,1))]. given #1833 (H,wt=28): 1942 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(354(a,1),1939(a,1,2,1,2))]. given #1834 (H,wt=28): 1943 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(917(a,1),1940(a,2,2,1))]. given #1835 (H,wt=23): 1947 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1907(a,1),1943(a,1,1)),flip(a)]. given #1836 (H,wt=29): 933 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(792(a,1),323(a,1,1))]. given #1837 (H,wt=25): 1948 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(10(a,1),933(a,1,1,1,2,2))]. given #1838 (H,wt=21): 1949 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [hyper(490,a,1948,a)]. given #1839 (H,wt=21): 1950 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(286,a,780,a(flip),b,1949,a),flip(a)]. given #1840 (H,wt=29): 937 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(115,a,936,a(flip),b,326,a),flip(a)]. given #1841 (H,wt=29): 1075 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1071(a,1),471(a,2,2))]. given #1842 (H,wt=29): 1208 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1186(a,1),912(a,1,2,1)),flip(a)]. given #1843 (H,wt=21): 1951 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(12(a,1),1208(a,1,1,1)),flip(a)]. given #1844 (H,wt=21): 1953 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(240(a,1),1951(a,1,1)),flip(a)]. given #1845 (H,wt=21): 1954 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(286,a,213,a(flip),b,1953,a),flip(a)]. given #1846 (H,wt=19): 1955 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(286,a,873,a(flip),b,1954,a),flip(a)]. given #1847 (H,wt=29): 1419 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1416(a,1),436(a,1,1)),flip(a)]. given #1848 (H,wt=23): 1956 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1419,a,895,a),flip(a)]. given #1849 (H,wt=26): 1957 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(1956(a,2),42(a,1))]. given #1850 (H,wt=29): 1480 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1329(a,1,1))]. given #1851 (H,wt=27): 1958 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1480(a,1,2,1,1)),flip(a)]. given #1852 (H,wt=27): 1959 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(805(a,1),1958(a,1,2))]. given #1853 (H,wt=25): 1960 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1493,a,1959,a),flip(a)]. given #1854 (H,wt=25): 1961 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),1960(a,1,2,1,2)),flip(a)]. given #1855 (H,wt=23): 1962 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(204(a,1),1961(a,1,1,2,1,2)),flip(a)]. given #1856 (H,wt=21): 1963 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(253(a,1),1962(a,1,2,1,2))]. given #1857 (H,wt=19): 1964 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1084,a,1963,a),flip(a)]. given #1858 (H,wt=17): 1969 K(x \ (x / T(x,y)),x) = T((x \ 1) * x,y). [para(108(a,1),1964(a,1,1)),flip(a)]. given #1859 (H,wt=17): 1971 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(317(a,1),1964(a,1,1)),flip(a)]. given #1860 (H,wt=19): 1970 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(240(a,1),1964(a,2,1,2))]. given #1861 (H,wt=19): 1972 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(871(a,1),1964(a,1,1))]. given #1862 (H,wt=19): 1973 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1082(a,2),1964(a,1,1)),flip(a)]. given #1863 (H,wt=19): 1977 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(73(a,1),1973(a,2,1,1,2))]. given #1864 (H,wt=20): 1974 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1264(a,2),1964(a,1,1)),flip(a)]. given #1865 (H,wt=21): 1965 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(262,a,1963,a),flip(a)]. given #1866 (H,wt=21): 1966 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(121,a,1963,a)]. given #1867 (H,wt=21): 1968 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1964(a,1),108(a,1,2)),flip(a)]. given #1868 (H,wt=23): 1976 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1357(a,1),1972(a,2,1,2,2))]. given #1869 (H,wt=19): 1980 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(286,a,1972,a,b,1976,a),flip(a)]. given #1870 (H,wt=23): 1979 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1345(a,1),1966(a,1,2,1,2)),flip(a)]. given #1871 (H,wt=19): 1982 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(10(a,1),1979(a,2,2,1))]. given #1872 (H,wt=17): 1984 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(253(a,1),1982(a,2,2))]. given #1873 (H,wt=24): 1967 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1963(a,1),218(a,1))]. given #1874 (H,wt=24): 1981 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1980(a,1),695(a,1,1)),flip(a)]. given #1875 (H,wt=23): 1986 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(286,a,695,a(flip),b,1981,a),flip(a)]. given #1876 (H,wt=19): 1987 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(16(a,2),1986(a,2,1))]. given #1877 (H,wt=15): 1988 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(16(a,2),1987(a,1,1))]. given #1878 (H,wt=19): 1989 T(K(1 / x,y),x \ 1) = T(K(1 / x,y),1 / x). [para(594(a,1),1988(a,1,2))]. given #1879 (H,wt=23): 1990 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1989(a,2),108(a,1,2))]. given #1880 (H,wt=25): 1978 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(109(a,1),1977(a,1,1,2,2)),flip(a)]. given #1881 (H,wt=29): 1631 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(22(a,2),1630(a,1,1)),flip(a)]. given #1882 (H,wt=27): 1991 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(22(a,2),1631(a,2,2,1,1))]. given #1883 (H,wt=25): 1992 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1831(a,1),1991(a,1,2))]. given #1884 (H,wt=23): 1993 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(304,a,1992,a),flip(a)]. given #1885 (H,wt=24): 1995 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(62,a,616,a,b,1993,a),flip(a)]. given #1886 (H,wt=26): 1994 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1992(a,1),304(a,1))]. given #1887 (H,wt=28): 1996 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(873(a,1),1995(a,2,1,2))]. given #1888 (H,wt=25): 1997 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1359(a,1),1996(a,1,1,2)),flip(a)]. given #1889 (H,wt=15): 1998 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(34,a,1965,a(flip),b,1997,a),flip(a)]. given #1890 (H,wt=21): 1999 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1998(a,1),110(a,1,1))]. given #1891 (H,wt=15): 2000 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(62,a,1984,a(flip),b,1999,a),flip(a)]. given #1892 (H,wt=17): 2002 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2000(a,1),1816(a,1,2,2))]. given #1893 (H,wt=17): 2003 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(121,a,2002,a),flip(a)]. given #1894 (H,wt=29): 1668 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1662(a,1),307(a,1,1))]. given #1895 (H,wt=29): 1727 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(834(a,1),1725(a,1,1,1,2)),flip(a)]. given #1896 (H,wt=21): 2004 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(318(a,1),1727(a,1,2,1,2)),flip(a)]. given #1897 (H,wt=23): 2005 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(204(a,1),2004(a,1,1)),flip(a)]. given #1898 (H,wt=17): 2006 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(204(a,1),2005(a,1,2)),flip(a)]. given #1899 (H,wt=25): 2007 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2006(a,1),1642(a,1,2,1)),flip(a)]. given #1900 (H,wt=21): 2008 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(11(a,1),2007(a,2,2))]. given #1901 (H,wt=21): 2009 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [hyper(131,a,2008,a)]. given #1902 (H,wt=24): 2011 (T(x,y) \ x) / x != (T(x,y) \ 1) * z | K(x,T(x,y) \ 1) = z. [para(2009(a,1),42(a,1))]. given #1903 (H,wt=29): 1807 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1804(a,1),1092(a,2,1,1,2)),flip(a)]. given #1904 (H,wt=17): 2012 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(9(a,1),1807(a,1,1,1))]. given #1905 (H,wt=19): 2013 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(216,a,2012,a,b,10,a)]. given #1906 (H,wt=22): 2014 T(x,(y * x) \ y) != x * z | T(K(x,(y * x) \ y),x) = z. [para(2012(a,1),217(a,2)),flip(a)]. given #1907 (H,wt=29): 1830 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(115,a,1826,a(flip),b,1139,a),flip(a)]. given #1908 (H,wt=29): 1878 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),1877(a,2,1,2,1))]. given #1909 (H,wt=29): 1892 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1887(a,1),1285(a,2,1,2))]. given #1910 (H,wt=21): 2017 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(201(a,1),1892(a,2,1))]. given #1911 (H,wt=19): 2018 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(286,a,70,a(flip),b,2017,a),flip(a)]. given #1912 (H,wt=23): 2020 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2018(a,1),1030(a,1,1)),flip(a)]. given #1913 (H,wt=17): 2021 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(62,a,1559,a(flip),b,2020,a)]. given #1914 (H,wt=21): 2022 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(76(a,1),2021(a,1,1,2,1))]. given #1915 (H,wt=17): 2023 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(76(a,1),2022(a,2,2,1))]. given #1916 (H,wt=15): 2025 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2023(a,1),1897(a,1,1))]. given #1917 (H,wt=17): 2024 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(131,a,2023,a)]. given #1918 (H,wt=17): 2026 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(11(a,1),2025(a,1,1,2))]. given #1919 (H,wt=13): 2028 K(1 / x,(y / (x * y)) * x) = 1. [para(11(a,1),2026(a,1,2,2))]. given #1920 (H,wt=15): 2029 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(55,a,2028,a)]. given #1921 (H,wt=14): 2030 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1594,a,2029,a)]. given #1922 (H,wt=14): 2031 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(10(a,1),2030(a,1,3,2))]. given #1923 (H,wt=15): 2032 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(197(a,2),2030(a,1,3))]. given #1924 (H,wt=17): 2033 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2030(a,1),357(a,1,2))]. given #1925 (H,wt=17): 2034 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2031(a,1),357(a,1,2))]. given #1926 (H,wt=18): 2036 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2033(a,1),1574(a,1,2))]. given #1927 (H,wt=19): 2035 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2032(a,1),356(a,1,2))]. given #1928 (H,wt=14): 2038 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1059,a,2035,a)]. given #1929 (H,wt=13): 2039 T(1 / (1 / x),y / (x * y)) = x. [para(197(a,1),2038(a,1,2))]. given #1930 (H,wt=13): 2040 T(x,y / (x * y)) = T(x,x \ 1). [para(2039(a,1),1379(a,1,1)),flip(a)]. given #1931 (H,wt=13): 2041 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,2040,a),flip(a)]. given #1932 (H,wt=15): 2042 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(115,a,2040,a,b,1443,a)]. given #1933 (H,wt=15): 2044 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(12(a,1),2041(a,1,2,2))]. given #1934 (H,wt=21): 2027 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(116,a,11,a(flip),b,2024,a),flip(a)]. given #1935 (H,wt=17): 2046 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(11(a,1),2027(a,1,1)),flip(a)]. given #1936 (H,wt=21): 2037 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2036(a,1),126(a,1,2)),flip(a),flip(b)]. given #1937 (H,wt=21): 2045 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2044(a,1),401(a,1,1))]. given #1938 (H,wt=17): 2048 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1162,a,2045,a)]. given #1939 (H,wt=24): 2047 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2046(a,1),1093(a,1,1,2))]. given #1940 (H,wt=20): 2049 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(62,a,631,a(flip),b,2047,a),flip(a)]. given #1941 (H,wt=20): 2051 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(129,a,2049,a)]. given #1942 (H,wt=23): 2052 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(2051(a,1),43(a,1))]. given #1943 (H,wt=25): 2043 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2040(a,1),1287(a,2,1))]. given #1944 (H,wt=30): 753 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(81(a,1),439(a,1,2,2))]. given #1945 (H,wt=30): 858 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(105(a,2),780(a,1,1,1,2))]. given #1946 (H,wt=27): 2054 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(797,a,858,a),flip(a)]. given #1947 (H,wt=27): 2055 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2054(a,1,2,1,2,2)),flip(a)]. given #1948 (H,wt=23): 2057 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(295,a,2055,a),flip(a)]. given #1949 (H,wt=17): 2059 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1002,a,2057,a),flip(a)]. given #1950 (H,wt=19): 2061 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(216,a,2059,a,b,10,a)]. given #1951 (H,wt=22): 2062 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(2059(a,1),217(a,2)),flip(a)]. given #1952 (H,wt=23): 2060 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(62,a,1148,a(flip),b,2057,a)]. given #1953 (H,wt=26): 2058 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2055(a,1),295(a,1))]. given #1954 (H,wt=20): 2064 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(997(a,1),2058(a,1))]. given #1955 (H,wt=26): 2065 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1148(a,1),2058(a,1))]. given #1956 (H,wt=27): 2056 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(780(a,1),2054(a,2,1))]. given #1957 (H,wt=25): 2068 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),2056(a,1,2,1,2,2))]. given #1958 (H,wt=21): 2072 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(216,a,2068,a(flip),b,1771,a(flip))]. given #1959 (H,wt=17): 2077 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(10(a,1),2072(a,1,1,2,1)),flip(a)]. given #1960 (H,wt=19): 2078 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1636(a,1),2072(a,1,1)),flip(a)]. given #1961 (H,wt=21): 2079 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(62,a,1633,a(flip),b,2077,a)]. given #1962 (H,wt=19): 2081 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(952(a,1),2079(a,1,2,1))]. given #1963 (H,wt=17): 2082 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(33,a,1945,a,b,2081,a)]. given #1964 (H,wt=19): 2083 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1389(a,2),2081(a,2,1))]. given #1965 (H,wt=17): 2087 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2083(a,1),1743(a,1,2))]. given #1966 (H,wt=21): 2080 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1479(a,1),2078(a,1,2,1,2)),flip(a)]. given #1967 (H,wt=17): 2088 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(73(a,1),2080(a,2,2,1))]. given #1968 (H,wt=19): 2089 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(11(a,1),2088(a,1,1,2))]. given #1969 (H,wt=15): 2090 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(11(a,1),2089(a,1,2,1))]. given #1970 (H,wt=11): 2091 T(K(x,y),K(y,z)) = K(x,y). [para(11(a,1),2090(a,2,2))]. given #1971 (H,wt=11): 2092 T(K(x,y),K(z,x)) = K(x,y). [hyper(53,a,2091,a)]. given #1972 (H,wt=15): 2093 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2091(a,1),108(a,1,2))]. given #1973 (H,wt=18): 2094 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2091(a,1),262(a,1,2))]. given #1974 (H,wt=18): 2098 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2092(a,1),262(a,1,2))]. given #1975 (H,wt=18): 2099 K(x,y) * K(y,z) != K(y,z) * u | K(x,y) = u. [para(2093(a,1),42(a,1))]. given #1976 (H,wt=21): 2086 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2082(a,1),965(a,1,1))]. given #1977 (H,wt=19): 2102 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(638,a,2086,a),flip(a)]. given #1978 (H,wt=17): 2103 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(286,a,958,a(flip),b,2102,a),flip(a)]. given #1979 (H,wt=20): 2104 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2102(a,2),961(a,1))]. given #1980 (H,wt=21): 2095 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2091(a,1),214(a,1,2,1)),flip(a)]. given #1981 (H,wt=21): 2096 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2091(a,1),215(a,1,2,1)),flip(a)]. given #1982 (H,wt=23): 2071 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(62,a,1146,a(flip),b,2068,a),flip(a)]. given #1983 (H,wt=23): 2084 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(216,a,2082,a,b,10,a),flip(a)]. given #1984 (H,wt=24): 2097 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2091(a,1),376(a,1,2,1))]. given #1985 (H,wt=25): 2073 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(10(a,1),2068(a,1,2,1)),flip(a)]. given #1986 (H,wt=25): 2076 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(286,a,1633,a(flip),b,2072,a)]. given #1987 (H,wt=25): 2107 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(10(a,1),2076(a,1,2,1)),flip(a)]. given #1988 (H,wt=25): 2109 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(286,a,1389,a,b,2107,a),flip(a)]. given #1989 (H,wt=19): 2110 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1637(a,1),2109(a,1,1)),flip(a)]. given #1990 (H,wt=22): 2112 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2110(a,2),48(a,1)),flip(a)]. given #1991 (H,wt=23): 2111 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(286,a,1947,a,b,2110,a)]. given #1992 (H,wt=15): 2113 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(33,a,1389,a(flip),b,2111,a),flip(a)]. given #1993 (H,wt=15): 2114 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [hyper(131,a,2113,a)]. given #1994 (H,wt=26): 2085 (T(x,y) \ x) / x != (T(x,y) \ x) * z | T(1 / x,T(x,y) \ x) = z. [para(2082(a,1),217(a,2)),flip(a)]. given #1995 (H,wt=27): 2115 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(240(a,1),2113(a,1,2))]. given #1996 (H,wt=19): 2116 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1955(a,1),2115(a,1,1))]. given #1997 (H,wt=15): 2117 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(62,a,2000,a(flip),b,2116,a),flip(a)]. given #1998 (H,wt=15): 2118 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(109(a,1),2117(a,1,2,1))]. given #1999 (H,wt=15): 2119 T(1 / x,y) \ 1 = 1 / T(x \ 1,y). [para(594(a,1),2117(a,1,2,1)),flip(a)]. given #2000 (H,wt=15): 2120 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(175,a,2118,a),flip(a)]. given #2001 (H,wt=15): 2121 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(181(a,1),2118(a,1,2,1)),flip(a)]. given #2002 (H,wt=15): 2122 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [hyper(175,a,2119,a(flip))]. given #2003 (H,wt=15): 2126 T(1 / (1 / x),y) = 1 / (1 / T(x,y)). [hyper(182,a,2121,a),flip(a)]. given #2004 (H,wt=17): 2123 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2120(a,1),108(a,1,2))]. given #2005 (H,wt=13): 2130 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(680,a,2123,a)]. given #2006 (H,wt=13): 2133 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(286,a,109,a,b,2130,a),flip(a)]. given #2007 (H,wt=15): 2132 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(286,a,1442,a,b,2130,a),flip(a)]. given #2008 (H,wt=13): 2135 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(33,a,2087,a,b,2132,a(flip))]. given #2009 (H,wt=9): 2138 T(x,K(y,y \ 1)) = x. [hyper(53,a,2135,a)]. given #2010 (H,wt=9): 2147 T(x,K(y,1 / y)) = x. [para(1386(a,1),2138(a,1,2))]. given #2011 (H,wt=9): 2148 T(x,K(y \ 1,y)) = x. [para(1391(a,1),2138(a,1,2))]. given #2012 (H,wt=13): 2152 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(53,a,2148,a)]. given #2013 (H,wt=13): 2160 T((x \ 1) * x,y) = K(x \ 1,x). [para(236(a,1),2152(a,1,1))]. given #2014 (H,wt=15): 2140 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2135(a,1),108(a,1,2)),flip(a)]. given #2015 (H,wt=15): 2150 K(x,1 / x) * y = y * K(x,1 / x). [para(2147(a,1),108(a,1,2))]. given #2016 (H,wt=15): 2153 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2148(a,1),108(a,1,2))]. given #2017 (H,wt=15): 2159 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(62,a,1971,a,b,2152,a)]. given #2018 (H,wt=17): 2124 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(110(a,1),2120(a,2,1,1))]. given #2019 (H,wt=17): 2128 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(110(a,1),2126(a,2,2,2))]. given #2020 (H,wt=17): 2134 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2130(a,1),959(a,1,2))]. given #2021 (H,wt=17): 2137 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2112,a,2135,a),flip(a)]. given #2022 (H,wt=17): 2139 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(115,a,2135,a(flip),b,2083,a)]. given #2023 (H,wt=17): 2175 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2159(a,1),1087(a,1,1))]. given #2024 (H,wt=17): 2176 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2159(a,2),1420(a,1,2))]. given #2025 (H,wt=17): 2180 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [hyper(129,a,2134,a)]. given #2026 (H,wt=17): 2184 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(115,a,2176,a(flip),b,1089,a)]. given #2027 (H,wt=18): 2136 T(x,T(x,y) \ 1) != x * z | K(x,x \ 1) = z. [para(2132(a,2),42(a,1))]. given #2028 (H,wt=18): 2141 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2135(a,1),218(a,1,2))]. given #2029 (H,wt=18): 2142 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2135(a,1),262(a,1,2))]. given #2030 (H,wt=18): 2144 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2138(a,1),219(a,1,2))]. given #2031 (H,wt=18): 2145 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2138(a,1),262(a,1,2))]. given #2032 (H,wt=16): 2185 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(1402(a,1),2145(a,1))]. given #2033 (H,wt=18): 2151 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2147(a,1),262(a,1,2))]. given #2034 (H,wt=18): 2155 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2148(a,1),218(a,1,2))]. given #2035 (H,wt=18): 2156 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2148(a,1),262(a,1,2))]. given #2036 (H,wt=18): 2161 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2152(a,1),262(a,1,2))]. given #2037 (H,wt=19): 2131 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(110(a,1),2123(a,1,2,1,1)),flip(a)]. given #2038 (H,wt=19): 2157 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(2148(a,1),202(a,1,2,2))]. given #2039 (H,wt=19): 2166 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(286,a,1027,a(flip),b,2153,a),flip(a)]. given #2040 (H,wt=19): 2177 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(244,a,2124,a)]. given #2041 (H,wt=19): 2178 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(62,a,410,a(flip),b,2124,a)]. given #2042 (H,wt=15): 2194 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(9(a,1),2178(a,2,1,1))]. given #2043 (H,wt=13): 2195 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(62,a,2048,a(flip),b,2194,a)]. given #2044 (H,wt=13): 2198 T(x,y / (y * x)) = T(x,x \ 1). [hyper(286,a,109,a,b,2195,a),flip(a)]. given #2045 (H,wt=13): 2200 T(1 / (1 / x),y / (y * x)) = x. [hyper(1382,a,2198,a(flip))]. given #2046 (H,wt=13): 2201 T(1 / (1 / x),(y / x) / y) = x. [para(12(a,1),2200(a,1,2,2))]. given #2047 (H,wt=15): 2199 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(10(a,1),2195(a,1,2,2))]. given #2048 (H,wt=17): 2203 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(73(a,1),2199(a,1,2))]. given #2049 (H,wt=18): 2196 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2194(a,2),316(a,1))]. given #2050 (H,wt=19): 2179 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [hyper(244,a,2128,a)]. given #2051 (H,wt=19): 2202 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2201(a,1),205(a,1,2,2))]. given #2052 (H,wt=19): 2204 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(9(a,1),2179(a,1,1,2,2,2))]. given #2053 (H,wt=20): 2125 x * ((T(y,x) \ 1) \ 1) != z | ((y \ 1) \ 1) * x = z. [para(2120(a,1),262(a,1,2))]. given #2054 (H,wt=20): 2165 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(742,a,2153,a),flip(a)]. given #2055 (H,wt=20): 2167 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(934,a,2153,a(flip))]. given #2056 (H,wt=21): 2127 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(286,a,1420,a,b,2126,a)]. given #2057 (H,wt=22): 2158 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2148(a,1),532(a,1,2,2))]. given #2058 (H,wt=22): 2162 x * (y * K(z \ 1,z)) != u | x * (K(z \ 1,z) * y) = u. [para(2152(a,1),532(a,1,2,2))]. given #2059 (H,wt=22): 2172 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2153(a,2),319(a,1,1))]. given #2060 (H,wt=22): 2192 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2166(a,1),2156(a,1))]. given #2061 (H,wt=22): 2193 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2177(a,1),263(a,1,1)),flip(b)]. given #2062 (H,wt=23): 2129 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2126(a,2),1621(a,1,1,1,2))]. given #2063 (H,wt=17): 2208 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(204(a,1),2129(a,1,1))]. given #2064 (H,wt=23): 2186 (x \ 1) * (x * y) != z * K(x \ 1,x) | L(y,x,x \ 1) = z. [para(440(a,1),2155(a,1))]. given #2065 (H,wt=24): 2181 (T(x,y) \ 1) * ((x \ 1) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(2134(a,1),490(a,1,1))]. given #2066 (H,wt=25): 2206 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1415(a,1),2165(a,1,1))]. given #2067 (H,wt=26): 2163 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2140(a,2),20(a,2,2)),flip(a)]. given #2068 (H,wt=26): 2168 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2153(a,1),92(a,1,1))]. given #2069 (H,wt=26): 2189 x * (y * K(z \ 1,z)) != u * w | u \ (x * (K(z \ 1,z) * y)) = w. [para(2157(a,1),513(a,1))]. given #2070 (H,wt=26): 2211 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2140(a,2),2163(a,1,1))]. given #2071 (H,wt=28): 2164 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2140(a,2),459(a,1,2))]. given #2072 (H,wt=28): 2169 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). [para(2153(a,1),210(a,1,2))]. given #2073 (H,wt=28): 2210 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2206(a,1),1538(a,1,1))]. given #2074 (H,wt=28): 2212 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(62,a,1775,a(flip),b,2210,a)]. given #2075 (H,wt=28): 2214 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(236(a,2),2212(a,1,1))]. given #2076 (H,wt=29): 2067 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(216,a,2056,a(flip),b,1552,a),flip(a)]. given #2077 (H,wt=27): 2215 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2067(a,1,1))]. given #2078 (H,wt=25): 2216 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2215(a,1,2,1,2,1))]. given #2079 (H,wt=29): 2070 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(62,a,1147,a(flip),b,2068,a)]. given #2080 (H,wt=27): 2217 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2068(a,1),2070(a,1,2)),flip(a)]. given #2081 (H,wt=25): 2218 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1633(a,2),2217(a,1,1))]. given #2082 (H,wt=29): 2100 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2093(a,2),473(a,1,2))]. given #2083 (H,wt=29): 2105 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1789(a,1),2071(a,1,1)),flip(a)]. given #2084 (H,wt=23): 2219 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1789(a,1),2105(a,1,2)),flip(a)]. given #2085 (H,wt=23): 2220 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(127,a,2219,a)]. given #2086 (H,wt=26): 2221 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2220(a,1),794(a,1,1))]. given #2087 (H,wt=23): 2222 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(62,a,478,a(flip),b,2221,a),flip(a)]. given #2088 (H,wt=27): 2223 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2222(a,1),647(a,1,1))]. given #2089 (H,wt=23): 2224 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(638,a,2223,a),flip(a)]. given #2090 (H,wt=19): 2225 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(286,a,16,a,b,2224,a)]. given #2091 (H,wt=15): 2226 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(16(a,2),2225(a,2,1,2)),flip(a)]. given #2092 (H,wt=11): 2227 T(1 / x,K(y,x)) = 1 / x. [hyper(242,a,2226,a)]. given #2093 (H,wt=13): 2228 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2227(a,1),223(a,1,1)),flip(a)]. given #2094 (H,wt=11): 2229 T(x \ 1,K(y,x)) = x \ 1. [hyper(286,a,110,a(flip),b,2228,a),flip(a)]. given #2095 (H,wt=11): 2230 T(K(x,y),y \ 1) = K(x,y). [hyper(53,a,2229,a)]. given #2096 (H,wt=16): 2231 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2229(a,1),359(a,2,1))]. given #2097 (H,wt=20): 2232 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(10(a,1),2231(a,1,1,1))]. given #2098 (H,wt=13): 2233 T(x \ y,K(z,y \ x)) = x \ y. [hyper(286,a,354,a(flip),b,2232,a),flip(a)]. given #2099 (H,wt=19): 2234 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2233(a,1),108(a,1,2))]. given #2100 (H,wt=29): 2191 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1673(a,1),2166(a,2,2))]. given #2101 (H,wt=29): 2207 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(750,a,2172,a)]. given #2102 (H,wt=22): 2235 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2167(a,1),2207(a,1,1,2))]. given #2103 (H,wt=30): 1109 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1104(a,1),16(a,2,1)),flip(a)]. given #2104 (H,wt=30): 1200 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(381(a,1),1192(a,1,1)),flip(a)]. given #2105 (H,wt=25): 2237 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(286,a,432,a(flip),b,1200,a),flip(a)]. given #2106 (H,wt=23): 2238 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(917(a,1),2237(a,2,2))]. given #2107 (H,wt=30): 1487 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(94(a,2),1332(a,1,2,2,1,2)),flip(a)]. given #2108 (H,wt=28): 2240 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(678(a,1),1487(a,1,1)),flip(a)]. given #2109 (H,wt=26): 2241 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [hyper(532,a,2240,a)]. given #2110 (H,wt=30): 1661 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1626(a,2),217(a,2)),flip(a)]. given #2111 (H,wt=30): 1720 x * (y * L(y \ (x \ z),u,w)) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(1718(a,1),217(a,2)),flip(a)]. given #2112 (H,wt=30): 1721 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1718(a,1),304(a,1,2))]. given #2113 (H,wt=30): 1786 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(392(a,1),1701(a,1,2,2)),flip(a)]. given #2114 (H,wt=30): 1833 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1826(a,2),217(a,2)),flip(a)]. given #2115 (H,wt=30): 1924 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1920(a,2),601(a,1,2))]. given #2116 (H,wt=28): 2243 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1195(a,1),1924(a,1,1))]. given #2117 (H,wt=27): 2244 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(981(a,1),2243(a,1,1))]. given #2118 (H,wt=27): 2245 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1920(a,1),2244(a,1,2))]. given #2119 (H,wt=27): 2246 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,2245,a)]. given #2120 (H,wt=19): 2247 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1917(a,1),2246(a,1,1))]. given #2121 (H,wt=20): 2248 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(62,a,981,a,b,2247,a)]. given #2122 (H,wt=18): 2250 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(62,a,1925,a(flip),b,2248,a),flip(a)]. given #2123 (H,wt=20): 2249 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2247(a,1),1756(a,1,2))]. given #2124 (H,wt=30): 2074 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(2068(a,2),217(a,2)),flip(a)]. given #2125 (H,wt=30): 2187 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(105(a,2),2131(a,1,1,1,1))]. given #2126 (H,wt=30): 2236 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(62,a,1236,a(flip),b,1109,a)]. given #2127 (H,wt=23): 2251 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(676(a,1),2236(a,1,2)),flip(a)]. given #2128 (H,wt=25): 2252 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2251(a,2),1452(a,1,2))]. given #2129 (H,wt=30): 2242 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1526(a,1),1786(a,2,2))]. given #2130 (H,wt=29): 2253 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(286,a,237,a(flip),b,2242,a),flip(a)]. given #2131 (H,wt=25): 2254 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1435(a,1),2253(a,1,1)),flip(a)]. given #2132 (H,wt=31): 856 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(236(a,2),655(a,1,1))]. given #2133 (H,wt=31): 1398 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1389(a,2),805(a,1,1))]. given #2134 (H,wt=31): 1483 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(805(a,1),1330(a,1,1))]. given #2135 (H,wt=29): 2257 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(22(a,2),1483(a,1,1,2,2,1,2)),flip(a)]. given #2136 (H,wt=31): 1519 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(286,a,1332,a(flip),b,1513,a),flip(a)]. given #2137 (H,wt=19): 2258 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(69(a,1),1519(a,1,1)),flip(a)]. given #2138 (H,wt=17): 2259 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(108(a,1),2258(a,1,1))]. given #2139 (H,wt=17): 2261 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),2259(a,1,1,1)),flip(a)]. given #2140 (H,wt=20): 2262 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2261(a,2),43(a,1))]. given #2141 (H,wt=31): 1703 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(286,a,1455,a(flip),b,1697,a),flip(a)]. given #2142 (H,wt=27): 2263 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1435(a,1),1703(a,1,1))]. given #2143 (H,wt=25): 2264 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(899(a,1),2263(a,1,2))]. given #2144 (H,wt=24): 2265 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(62,a,2214,a(flip),b,2264,a)]. given #2145 (H,wt=22): 2266 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(286,a,1809,a(flip),b,2265,a),flip(a)]. given #2146 (H,wt=19): 2267 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(34,a,2210,a,b,2266,a(flip))]. given #2147 (H,wt=18): 2268 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(286,a,195,a(flip),b,2267,a)]. given #2148 (H,wt=17): 2269 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(195(a,1),2268(a,2,2,2)),flip(a)]. given #2149 (H,wt=17): 2271 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(121,a,2269,a)]. given #2150 (H,wt=19): 2270 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(286,a,8,a,b,2269,a),flip(a)]. given #2151 (H,wt=24): 2272 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2271(a,1),268(a,1,1))]. given #2152 (H,wt=23): 2273 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(458(a,1),2272(a,2,1))]. given #2153 (H,wt=31): 1717 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(22(a,2),1628(a,1,1))]. given #2154 (H,wt=29): 2274 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(22(a,2),1717(a,1,2,1,1)),flip(a)]. given #2155 (H,wt=29): 2275 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(893(a,1),2274(a,1,2))]. given #2156 (H,wt=27): 2276 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1721,a,2275,a),flip(a)]. given #2157 (H,wt=27): 2277 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(9(a,1),2276(a,1,2,1,2)),flip(a)]. given #2158 (H,wt=23): 2278 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(11(a,1),2277(a,1,1,2,1,2)),flip(a)]. given #2159 (H,wt=31): 1895 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1042(a,1),1894(a,1,1)),flip(a)]. given #2160 (H,wt=25): 2279 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1042(a,1),1895(a,1,2,1)),flip(a)]. given #2161 (H,wt=23): 2280 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(115,a,68,a(flip),b,2279,a),flip(a)]. given #2162 (H,wt=31): 1910 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1908(a,1),1080(a,1,1)),flip(a)]. given #2163 (H,wt=25): 2281 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1908(a,1),1910(a,1,2)),flip(a)]. given #2164 (H,wt=21): 2282 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(286,a,9,a(flip),b,2281,a),flip(a)]. given #2165 (H,wt=23): 2284 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(871(a,1),2282(a,1,1,2)),flip(a)]. given #2166 (H,wt=17): 2286 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(980,a,2284,a),flip(a)]. given #2167 (H,wt=25): 2285 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1259(a,2),2282(a,1,1,2)),flip(a)]. given #2168 (H,wt=13): 2287 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1261,a,2285,a),flip(a)]. given #2169 (H,wt=17): 2288 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(327,a,2287,a),flip(a)]. given #2170 (H,wt=31): 1911 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1908(a,1),1298(a,1,2,1)),flip(a)]. given #2171 (H,wt=25): 2289 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1908(a,1),1911(a,1,1)),flip(a)]. given #2172 (H,wt=31): 1912 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1908(a,1),1315(a,1,2)),flip(a)]. given #2173 (H,wt=30): 2290 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(286,a,237,a(flip),b,1912,a),flip(a)]. given #2174 (H,wt=24): 2291 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1908(a,1),2290(a,1,1)),flip(a)]. given #2175 (H,wt=28): 2292 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1259(a,2),2291(a,1,1)),flip(a)]. given #2176 (H,wt=16): 2293 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1259(a,2),2292(a,1,1,2)),flip(a)]. given #2177 (H,wt=31): 2066 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(295,a,2056,a),flip(a)]. given #2178 (H,wt=27): 2294 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),2066(a,2,2,1,2,1))]. given #2179 (H,wt=27): 2295 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(127,a,2294,a)]. given #2180 (H,wt=25): 2296 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),2295(a,1,1,2,1,2,2)),flip(a)]. given #2181 (H,wt=31): 2101 (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) != w | a(x,K(z,u),K(y,z)) = w. [para(2093(a,1),655(a,1,1,2))]. given #2182 (H,wt=31): 2106 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2084(a,1),1027(a,2,2,1)),flip(a)]. given #2183 (H,wt=29): 2298 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(223(a,1),2106(a,1,2))]. given #2184 (H,wt=23): 2299 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(262,a,2298,a),flip(a)]. given #2185 (H,wt=26): 2300 ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. [para(2298(a,1),262(a,1))]. given #2186 (H,wt=31): 2171 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2153(a,1),684(a,1,2))]. given #2187 (H,wt=31): 2213 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2210(a,1),43(a,1))]. given #2188 (H,wt=31): 2239 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2238(a,1),1296(a,1,1)),flip(a)]. given #2189 (H,wt=23): 2301 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2238(a,1),2239(a,1,2,1)),flip(a)]. given #2190 (H,wt=31): 2255 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(108(a,1),2254(a,1,1)),flip(a)]. given #2191 (H,wt=25): 2302 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(376,a,2255,a),flip(a)]. given #2192 (H,wt=31): 2256 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1389(a,2),1398(a,1,2,1,1))]. given #2193 (H,wt=27): 2303 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(912(a,1),2256(a,2,2))]. given #2194 (H,wt=19): 2304 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(286,a,1509,a(flip),b,2303,a),flip(a)]. given #2195 (H,wt=19): 2306 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(682,a,2304,a),flip(a)]. given #2196 (H,wt=19): 2307 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(9(a,1),2304(a,1,2,1)),flip(a)]. given #2197 (H,wt=21): 2309 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(110(a,1),2306(a,2,1))]. given #2198 (H,wt=19): 2311 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1785,a,2309,a)]. given #2199 (H,wt=19): 2312 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(131,a,2311,a)]. given #2200 (H,wt=19): 2314 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(9(a,1),2312(a,1,2,1)),flip(a)]. given #2201 (H,wt=10): 2315 R(x,y,K(x,x \ 1)) = x. [hyper(471,a,2314,a)]. given #2202 (H,wt=14): 2317 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2315(a,1),27(a,2,1))]. given #2203 (H,wt=13): 2319 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(62,a,1784,a(flip),b,2317,a),flip(a)]. given #2204 (H,wt=17): 2321 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1391(a,1),2319(a,1,2,2))]. given #2205 (H,wt=21): 2310 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2307(a,2),1699(a,1,2))]. given #2206 (H,wt=19): 2322 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(262,a,2310,a)]. given #2207 (H,wt=10): 2324 L(x,y,K(x,x \ 1)) = x. [hyper(435,a,2322,a)]. given #2208 (H,wt=14): 2325 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1435(a,1),2324(a,1,3))]. given #2209 (H,wt=18): 2326 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2325(a,1),25(a,2,1))]. given #2210 (H,wt=22): 2318 x * (y * K(x,x \ 1)) != z | (x * y) * K(x,x \ 1) = z. [para(2315(a,1),266(a,1,1))]. given #2211 (H,wt=22): 2323 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2310(a,1),262(a,1))]. given #2212 (H,wt=23): 2305 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(160(a,1),2303(a,2,2,1,1))]. given #2213 (H,wt=23): 2308 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2304(a,1),820(a,1,2)),flip(a)]. given #2214 (H,wt=21): 2328 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(296(a,1),2308(a,1,1,1)),flip(a)]. given #2215 (H,wt=21): 2329 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(236(a,2),2328(a,2,1,1))]. given #2216 (H,wt=19): 2330 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(296(a,1),2329(a,1,1)),flip(a)]. given #2217 (H,wt=19): 2331 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(236(a,2),2330(a,2,1))]. given #2218 (H,wt=21): 2332 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2331(a,2),1527(a,1,2))]. given #2219 (H,wt=19): 2333 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(262,a,2332,a)]. given #2220 (H,wt=10): 2334 L(x,y,K(x \ 1,x)) = x. [hyper(435,a,2333,a)]. given #2221 (H,wt=14): 2335 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2334(a,1),25(a,2,1))]. given #2222 (H,wt=13): 2336 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1930,a,2335,a)]. given #2223 (H,wt=18): 2337 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(895(a,1),2336(a,1,2)),flip(a)]. given #2224 (H,wt=27): 2313 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(76(a,1),2311(a,1,2,2,2)),flip(a)]. given #2225 (H,wt=27): 2316 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1435(a,1),2314(a,1,2)),flip(a)]. given #2226 (H,wt=27): 2327 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2305(a,1),880(a,1,1))]. given #2227 (H,wt=25): 2340 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1437(a,1),2327(a,1,2))]. given #2228 (H,wt=23): 2341 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1437(a,1),2340(a,2,1,2))]. given #2229 (H,wt=21): 2342 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1420(a,1),2341(a,2,1))]. given #2230 (H,wt=24): 2343 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2342(a,1),43(a,1))]. given #2231 (H,wt=30): 2338 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(392(a,1),2313(a,1,1)),flip(a)]. given #2232 (H,wt=30): 2344 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1436(a,2),2338(a,1,2,2))]. given #2233 (H,wt=30): 2345 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2302(a,2),2344(a,1,2))]. given #2234 (H,wt=23): 2346 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(504,a,2345,a),flip(a)]. given #2235 (H,wt=19): 2347 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1435(a,1),2346(a,1,2))]. given #2236 (H,wt=10): 2348 R(x,y,K(x \ 1,x)) = x. [hyper(471,a,2347,a)]. given #2237 (H,wt=14): 2350 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2348(a,1),27(a,2,1))]. given #2238 (H,wt=21): 2351 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2350(a,1),384(a,1,1)),flip(a)]. given #2239 (H,wt=25): 2349 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(952(a,1),2347(a,1,1)),flip(a)]. given #2240 (H,wt=23): 2352 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2351(a,1),2349(a,1,2)),flip(a)]. given #2241 (H,wt=21): 2353 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(286,a,1422,a(flip),b,2352,a),flip(a)]. given #2242 (H,wt=31): 2297 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1297(a,1),2296(a,1,2,1)),flip(a)]. given #2243 (H,wt=28): 2354 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(771(a,1),2297(a,1,1,2)),flip(a)]. given #2244 (H,wt=25): 2355 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(92(a,1),2354(a,2,1))]. given #2245 (H,wt=25): 2356 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1389(a,2),2355(a,2,1,2))]. given #2246 (H,wt=19): 2357 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(62,a,1774,a(flip),b,2356,a)]. given #2247 (H,wt=23): 2358 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(10(a,1),2357(a,1,2,2,1)),flip(a)]. given #2248 (H,wt=32): 671 (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(274(a,1),400(a,1,1,1)),flip(a)]. given #2249 (H,wt=27): 2359 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(286,a,468,a(flip),b,671,a),flip(a)]. given #2250 (H,wt=23): 2360 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(939,a,2359,a)]. given #2251 (H,wt=23): 2361 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [hyper(532,a,2360,a),flip(a)]. given #2252 (H,wt=32): 938 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(678(a,2),217(a,2))]. given #2253 (H,wt=32): 1107 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1106(a,1),275(a,1,1))]. given #2254 (H,wt=13): 2362 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1107,a,2270,a(flip))]. given #2255 (H,wt=13): 2363 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(115,a,2362,a(flip),b,2251,a(flip)),flip(a)]. given #2256 (H,wt=13): 2365 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(286,a,109,a,b,2363,a),flip(a)]. given #2257 (H,wt=13): 2368 T(1 / (1 / x),(y * x) \ y) = x. [hyper(1382,a,2365,a(flip))]. given #2258 (H,wt=15): 2364 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2362(a,1),2252(a,1,2))]. given #2259 (H,wt=15): 2366 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(116,a,2363,a(flip),b,2012,a),flip(a)]. given #2260 (H,wt=13): 2372 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(286,a,1387,a(flip),b,2366,a),flip(a)]. given #2261 (H,wt=13): 2375 K(x,y \ (y / x)) = K(x,x \ 1). [para(12(a,1),2372(a,1,2,1))]. given #2262 (H,wt=15): 2367 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(10(a,1),2363(a,1,2,1))]. given #2263 (H,wt=15): 2370 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(10(a,1),2368(a,1,2,1))]. given #2264 (H,wt=15): 2377 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2372(a,2),1437(a,1,1))]. given #2265 (H,wt=15): 2378 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2372(a,2),2135(a,1,1))]. given #2266 (H,wt=15): 2380 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(182,a,2367,a(flip))]. given #2267 (H,wt=16): 2373 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2366(a,2),1406(a,1))]. given #2268 (H,wt=17): 2374 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(10(a,1),2372(a,1,2,1)),flip(a)]. given #2269 (H,wt=11): 2391 T(x,K(y \ z,z \ y)) = x. [para(2374(a,1),2138(a,1,2))]. given #2270 (H,wt=17): 2379 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(62,a,632,a,b,2375,a)]. given #2271 (H,wt=17): 2381 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(76(a,1),2367(a,1,2))]. given #2272 (H,wt=17): 2389 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1392,a,2374,a)]. given #2273 (H,wt=18): 2388 ((x \ y) \ 1) \ 1 != z | T(x \ y,y \ x) = z. [para(2380(a,1),303(a,1,1)),flip(b)]. given #2274 (H,wt=19): 2385 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2367(a,2),2177(a,1,1,2))]. given #2275 (H,wt=15): 2394 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(406,a,2385,a)]. given #2276 (H,wt=19): 2386 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2370(a,1),108(a,1,2)),flip(a)]. given #2277 (H,wt=18): 2395 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(34,a,1688,a,b,2386,a)]. given #2278 (H,wt=18): 2396 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(34,a,760,a,b,2386,a)]. given #2279 (H,wt=21): 2369 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(85(a,1),2365(a,1,2,1))]. given #2280 (H,wt=17): 2399 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(16(a,2),2369(a,1,2)),flip(a)]. given #2281 (H,wt=15): 2400 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(640,a,2399,a),flip(a)]. given #2282 (H,wt=11): 2402 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(62,a,2092,a(flip),b,2400,a),flip(a)]. given #2283 (H,wt=11): 2406 1 / (1 / K(x,y)) = K(x,y). [para(2402(a,1),176(a,1,2,2))]. given #2284 (H,wt=14): 2405 K(x,y) != z \ 1 | K(x,y) \ 1 = z. [para(2402(a,1),47(a,1))]. given #2285 (H,wt=18): 2401 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2399(a,1),640(a,1))]. given #2286 (H,wt=21): 2383 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2367(a,1),1266(a,1,2)),flip(a)]. given #2287 (H,wt=21): 2390 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(9(a,1),2374(a,2,2))]. given #2288 (H,wt=21): 2392 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2374(a,1),2358(a,1,1,2))]. given #2289 (H,wt=21): 2398 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2395(a,1),1812(a,1,2)),flip(a)]. given #2290 (H,wt=19): 2409 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2374(a,1),2398(a,1,2))]. given #2291 (H,wt=21): 2408 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2398(a,1),2358(a,1,1))]. given #2292 (H,wt=21): 2410 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2379(a,1),2409(a,1,2))]. given #2293 (H,wt=22): 2393 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2391(a,1),256(a,1,2)),flip(b)]. given #2294 (H,wt=20): 2413 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2392(a,1),2393(a,1))]. given #2295 (H,wt=22): 2397 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(9(a,1),2395(a,1,2))]. given #2296 (H,wt=16): 2414 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(62,a,1806,a(flip),b,2397,a)]. given #2297 (H,wt=18): 2416 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(73(a,1),2414(a,1,1))]. given #2298 (H,wt=23): 2376 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(987(a,2),2372(a,1,2,1))]. given #2299 (H,wt=21): 2417 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1196(a,1),2376(a,1,2))]. given #2300 (H,wt=19): 2418 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(286,a,2374,a(flip),b,2417,a),flip(a)]. given #2301 (H,wt=24): 2407 x * (((x \ y) \ 1) \ 1) != y * z | K((y \ x) \ 1,y \ x) = z. [para(2383(a,1),42(a,1))]. given #2302 (H,wt=25): 2382 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1086(a,2),2367(a,1,1))]. given #2303 (H,wt=25): 2384 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2367(a,2),1978(a,2,1,2,2)),flip(a)]. given #2304 (H,wt=21): 2419 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(62,a,1977,a(flip),b,2384,a),flip(a)]. given #2305 (H,wt=25): 2387 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1086(a,2),2370(a,1,1,2,2))]. given #2306 (H,wt=21): 2421 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2406(a,1),2387(a,1,1))]. given #2307 (H,wt=15): 2422 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(62,a,2382,a(flip),b,2421,a)]. given #2308 (H,wt=15): 2423 (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). [hyper(182,a,2422,a),flip(a)]. given #2309 (H,wt=25): 2420 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(9(a,1),2419(a,1,1,1)),flip(a)]. given #2310 (H,wt=21): 2424 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(9(a,1),2420(a,1,1,1)),flip(a)]. given #2311 (H,wt=17): 2425 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(9(a,1),2424(a,2,2))]. given #2312 (H,wt=32): 1112 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1095(a,2),640(a,1,2))]. given #2313 (H,wt=32): 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1267(a,2,2,1,2,2))]. given #2314 (H,wt=28): 2427 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(939,a,1272,a),flip(a)]. given #2315 (H,wt=26): 2428 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(678(a,1),2427(a,2,2))]. given #2316 (H,wt=21): 2429 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(435,a,2428,a)]. given #2317 (H,wt=21): 2432 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(871(a,1),2429(a,1,1))]. given #2318 (H,wt=24): 2430 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(286,a,1082,a(flip),b,2429,a)]. given #2319 (H,wt=25): 2431 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(70(a,1),2429(a,2,1,2))]. given #2320 (H,wt=26): 2434 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(395(a,1),2432(a,2,1,2))]. given #2321 (H,wt=26): 2436 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2013(a,2),2434(a,1,1))]. given #2322 (H,wt=22): 2437 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2378(a,1),2436(a,1,1))]. given #2323 (H,wt=12): 2439 T(x,L(K(y,y \ 1),y,z)) = x. [para(2437(a,2),2148(a,1,2))]. given #2324 (H,wt=24): 2438 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2437(a,2),390(a,1,1)),flip(a)]. given #2325 (H,wt=18): 2441 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(62,a,2390,a(flip),b,2438,a)]. given #2326 (H,wt=28): 2435 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2430(a,1),538(a,1))]. given #2327 (H,wt=32): 1286 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1284(a,1,1,2,2))]. given #2328 (H,wt=28): 2442 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1306(a,1),1286(a,2,1))]. given #2329 (H,wt=26): 2443 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1334(a,1),2442(a,2,1,1))]. given #2330 (H,wt=21): 2444 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(286,a,20,a,b,2443,a)]. given #2331 (H,wt=24): 2445 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2443(a,2),473(a,1))]. given #2332 (H,wt=24): 2446 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(286,a,1082,a(flip),b,2444,a)]. given #2333 (H,wt=25): 2447 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(70(a,1),2444(a,2,1,2))]. given #2334 (H,wt=25): 2450 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(262,a,2446,a),flip(a)]. given #2335 (H,wt=27): 2449 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1082(a,1),2445(a,1))]. given #2336 (H,wt=28): 2451 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2446(a,1),218(a,1))]. given #2337 (H,wt=32): 1299 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(688,a,1294,a),flip(a)]. given #2338 (H,wt=32): 1603 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(1599(a,1),601(a,1,2))]. given #2339 (H,wt=25): 2452 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(62,a,1687,a(flip),b,1603,a)]. given #2340 (H,wt=29): 2454 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2452(a,1),780(a,1,1)),flip(a)]. given #2341 (H,wt=29): 2455 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(286,a,583,a(flip),b,2454,a),flip(a)]. given #2342 (H,wt=22): 2456 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(62,a,1640,a(flip),b,2455,a),flip(a)]. given #2343 (H,wt=32): 1834 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1826(a,2),513(a,1))]. given #2344 (H,wt=32): 2069 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(2056(a,2),217(a,2)),flip(a)]. given #2345 (H,wt=33): 828 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,81,a(flip),b,587,a),flip(a)]. given #2346 (H,wt=33): 901 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),440(a,1,2))]. given #2347 (H,wt=33): 1061 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(1057(a,1),698(a,1,1,2))]. given #2348 (H,wt=32): 2458 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(1572(a,1),1061(a,1,1))]. given #2349 (H,wt=33): 1096 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(1056(a,1),1086(a,1,1,2))]. given #2350 (H,wt=26): 2459 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),1096(a,1,1))]. given #2351 (H,wt=25): 2460 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(1932(a,1),2459(a,2,2))]. given #2352 (H,wt=33): 1161 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(92(a,1),466(a,1,1))]. given #2353 (H,wt=33): 1247 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(802(a,1),1233(a,1,1)),flip(a)]. given #2354 (H,wt=31): 2461 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(802(a,1),1247(a,1,2)),flip(a)]. given #2355 (H,wt=33): 1263 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1260(a,1),881(a,1,1))]. given #2356 (H,wt=21): 2462 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(286,a,1259,a,b,1263,a),flip(a)]. given #2357 (H,wt=29): 2463 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2462(a,1),110(a,1,1)),flip(a)]. given #2358 (H,wt=23): 2465 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(286,a,2425,a(flip),b,2463,a),flip(a)]. given #2359 (H,wt=32): 2464 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2462(a,1),638(a,1,1))]. given #2360 (H,wt=26): 2466 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2425(a,1),2464(a,1))]. given #2361 (H,wt=33): 1584 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),891(a,1,1))]. given #2362 (H,wt=33): 1975 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1237(a,2),1970(a,1,2))]. given #2363 (H,wt=30): 2468 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2430(a,1),1975(a,1,1))]. given #2364 (H,wt=28): 2469 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(317(a,1),2468(a,1,1,1))]. given #2365 (H,wt=26): 2470 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1237(a,1),2469(a,1,2))]. given #2366 (H,wt=26): 2471 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(62,a,25,a,b,2470,a)]. given #2367 (H,wt=24): 2472 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1249(a,1),2471(a,2,1))]. given #2368 (H,wt=17): 2473 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2152(a,1),2472(a,1,1))]. given #2369 (H,wt=22): 2474 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2473(a,1),92(a,1,2))]. given #2370 (H,wt=25): 2476 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2474(a,1),42(a,1)),flip(a)]. given #2371 (H,wt=33): 2016 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(593(a,1),1830(a,2,2,1))]. given #2372 (H,wt=31): 2477 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2016(a,1,1))]. given #2373 (H,wt=29): 2478 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2477(a,1,2,1,1))]. given #2374 (H,wt=33): 2075 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2068(a,1),2060(a,1,2)),flip(a)]. given #2375 (H,wt=33): 2339 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2082(a,1),2316(a,2,1))]. given #2376 (H,wt=29): 2479 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(286,a,2299,a(flip),b,2339,a),flip(a)]. given #2377 (H,wt=25): 2480 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1435(a,1),2479(a,1,2,2))]. given #2378 (H,wt=23): 2481 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2353(a,1),2480(a,1,2))]. given #2379 (H,wt=21): 2482 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2184(a,1),2481(a,1,2))]. given #2380 (H,wt=15): 2483 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2104,a,2482,a),flip(a)]. given #2381 (H,wt=15): 2484 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,2103,a(flip),b,2482,a(flip))]. given #2382 (H,wt=13): 2486 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(62,a,2003,a(flip),b,2484,a)]. given #2383 (H,wt=13): 2487 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(62,a,2423,a(flip),b,2486,a)]. given #2384 (H,wt=19): 2485 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(33,a,313,a,b,2483,a),flip(a)]. given #2385 (H,wt=19): 2489 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(110(a,1),2486(a,1,1,2)),flip(a)]. given #2386 (H,wt=17): 2492 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(110(a,1),2489(a,1,1)),flip(a)]. given #2387 (H,wt=19): 2490 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(865(a,1),2486(a,1,1))]. given #2388 (H,wt=19): 2494 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(286,a,2485,a(flip),b,2490,a),flip(a)]. given #2389 (H,wt=21): 2493 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(9(a,1),2492(a,1,1,2)),flip(a)]. given #2390 (H,wt=17): 2496 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(9(a,1),2493(a,1,1)),flip(a)]. given #2391 (H,wt=17): 2497 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(182,a,2496,a)]. given #2392 (H,wt=20): 2498 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(2496(a,1),258(a,1,2))]. given #2393 (H,wt=22): 2491 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1646(a,1),2486(a,1,1,2)),flip(a)]. given #2394 (H,wt=18): 2499 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(9(a,1),2491(a,2,1))]. given #2395 (H,wt=25): 2488 (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),2486(a,1,1,2))]. given #2396 (H,wt=25): 2495 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1265(a,1),2494(a,1,1)),flip(a)]. given #2397 (H,wt=25): 2501 (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),2488(a,2,1))]. given #2398 (H,wt=33): 2457 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),901(a,1,2,1,1))]. given #2399 (H,wt=33): 2467 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),1584(a,1,2,1,1))]. given #2400 (H,wt=33): 2502 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(286,a,1656,a(flip),b,2457,a),flip(a)]. given #2401 (H,wt=29): 2504 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1820(a,1),2502(a,2,1))]. given #2402 (H,wt=33): 2503 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(286,a,1827,a(flip),b,2467,a),flip(a)]. given #2403 (H,wt=29): 2505 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(903(a,1),2503(a,2,1))]. given #2404 (H,wt=34): 765 (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(274(a,1),591(a,1,1,1)),flip(a)]. given #2405 (H,wt=29): 2506 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(286,a,470,a(flip),b,765,a),flip(a)]. given #2406 (H,wt=25): 2507 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1163,a,2506,a)]. given #2407 (H,wt=28): 2508 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1347(a,1),2507(a,2,1,1))]. given #2408 (H,wt=34): 898 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(873(a,1),492(a,1,1,1))]. given #2409 (H,wt=34): 2170 (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(2153(a,2),588(a,1,1))]. given #2410 (H,wt=27): 2509 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2171,a,2170,a),flip(a)]. given #2411 (H,wt=34): 2188 (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,2157,a,b,81,a)]. given #2412 (H,wt=35): 1031 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(115,a,882,a(flip),b,820,a)]. given #2413 (H,wt=31): 2510 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(76(a,1),1031(a,1,2,1)),flip(a)]. given #2414 (H,wt=27): 2511 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(76(a,1),2510(a,2,2,2,1))]. given #2415 (H,wt=23): 2512 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(76(a,1),2511(a,1,2,1,2,1))]. given #2416 (H,wt=19): 2513 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(76(a,1),2512(a,1,2,2)),flip(a)]. given #2417 (H,wt=17): 2514 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(286,a,108,a(flip),b,2513,a),flip(a)]. given #2418 (H,wt=26): 2515 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1646(a,1),2514(a,1,2,2)),flip(a)]. given #2419 (H,wt=22): 2516 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(9(a,1),2515(a,2,2))]. given #2420 (H,wt=17): 2518 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1646(a,1),2516(a,1,1,2))]. given #2421 (H,wt=13): 2519 (1 / x) \ K(x,y) = K(x,y) * x. [para(9(a,1),2518(a,1,1)),flip(a)]. given #2422 (H,wt=35): 1050 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(1045(a,1),616(a,1,1,2)),flip(a)]. given #2423 (H,wt=35): 1166 (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(800(a,2),217(a,2))]. given #2424 (H,wt=35): 1227 (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(889(a,2),217(a,2))]. given #2425 (H,wt=35): 1245 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(1233(a,1),616(a,1,1,2)),flip(a)]. given #2426 (H,wt=35): 1712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1711(a,1),1551(a,1,2,1,2))]. given #2427 (H,wt=23): 2521 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(9(a,1),1712(a,1,2,1)),flip(a)]. given #2428 (H,wt=35): 1935 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1234(a,1),580(a,1,1))]. given #2429 (H,wt=31): 2522 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(10(a,1),1935(a,1,2,1)),flip(a)]. given #2430 (H,wt=35): 2433 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),2432(a,2,1,2))]. given #2431 (H,wt=26): 2524 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1682(a,1),2433(a,1,1,2)),flip(a)]. given #2432 (H,wt=24): 2525 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(65(a,1),2524(a,2,1))]. given #2433 (H,wt=21): 2526 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(286,a,421,a(flip),b,2525,a),flip(a)]. given #2434 (H,wt=23): 2529 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2526(a,1),271(a,1,2)),flip(a)]. given #2435 (H,wt=21): 2530 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(286,a,8,a(flip),b,2529,a),flip(a)]. given #2436 (H,wt=36): 1643 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1045(a,1),1635(a,2,2,1))]. given #2437 (H,wt=34): 2531 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1847(a,1),1643(a,1,2,1))]. given #2438 (H,wt=24): 2532 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(11(a,1),2531(a,1,2)),flip(a)]. given #2439 (H,wt=24): 2533 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [hyper(131,a,2532,a),flip(a)]. given #2440 (H,wt=27): 2535 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2532(a,1),232(a,1,2)),flip(b)]. given #2441 (H,wt=27): 2536 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2533(a,2),301(a,1,2)),flip(b)]. given #2442 (H,wt=37): 1619 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1045(a,1),1614(a,1,1,2,1))]. given #2443 (H,wt=37): 1928 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1927(a,1),781(a,1,2,1))]. given #2444 (H,wt=36): 2537 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(774(a,1),1928(a,2,1))]. given #2445 (H,wt=34): 2538 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(286,a,2461,a(flip),b,2537,a),flip(a)]. given #2446 (H,wt=37): 1929 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1927(a,1),1633(a,2,2,1)),flip(a)]. given #2447 (H,wt=35): 2539 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1562(a,1),1929(a,2,2,1))]. given #2448 (H,wt=27): 2540 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(11(a,1),2539(a,2,2))]. given #2449 (H,wt=22): 2541 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(62,a,2538,a(flip),b,2540,a)]. given #2450 (H,wt=22): 2543 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(131,a,2541,a)]. given #2451 (H,wt=19): 2544 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(286,a,2396,a(flip),b,2543,a),flip(a)]. given #2452 (H,wt=17): 2545 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(33,a,1420,a,b,2544,a)]. given #2453 (H,wt=19): 2547 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2545(a,1),2383(a,1,2))]. given #2454 (H,wt=21): 2546 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(286,a,631,a(flip),b,2545,a),flip(a)]. given #2455 (H,wt=16): 2548 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(62,a,2437,a,b,2546,a)]. given #2456 (H,wt=14): 2550 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(286,a,2372,a(flip),b,2548,a),flip(a)]. given #2457 (H,wt=17): 2551 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2548(a,1),2441(a,2,1)),flip(a)]. given #2458 (H,wt=13): 2554 K((x * y) \ x,y) = K(y \ 1,y). [hyper(62,a,2377,a(flip),b,2551,a),flip(a)]. given #2459 (H,wt=19): 2556 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(108(a,1),2554(a,1,1,1)),flip(a)]. given #2460 (H,wt=20): 2553 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1435(a,1),2550(a,1,1))]. given #2461 (H,wt=16): 2559 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(286,a,1435,a(flip),b,2553,a),flip(a)]. given #2462 (H,wt=17): 2561 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2559(a,1),1074(a,1,2)),flip(a)]. given #2463 (H,wt=17): 2562 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(116,a,11,a(flip),b,2561,a),flip(a)]. given #2464 (H,wt=17): 2564 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(129,a,2562,a)]. given #2465 (H,wt=17): 2565 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(62,a,1217,a,b,2564,a)]. given #2466 (H,wt=17): 2566 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(62,a,1219,a(flip),b,2564,a),flip(a)]. given #2467 (H,wt=16): 2571 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2566(a,1),570(a,1))]. given #2468 (H,wt=17): 2567 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(11(a,1),2564(a,1,1)),flip(a)]. given #2469 (H,wt=12): 2574 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1075,a,2567,a)]. given #2470 (H,wt=14): 2573 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1540,a,2567,a)]. given #2471 (H,wt=13): 2576 R(x,y \ 1,y) = R(x,1 / y,y). [hyper(904,a,2573,a)]. given #2472 (H,wt=14): 2575 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1388(a,1),2574(a,1,3))]. given #2473 (H,wt=14): 2577 R(x / (1 / y),y \ 1,y) = x * y. [hyper(294,a,2573,a),flip(a)]. given #2474 (H,wt=14): 2578 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(129,a,2573,a)]. given #2475 (H,wt=17): 2568 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(129,a,2565,a)]. given #2476 (H,wt=17): 2569 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2161,a,2566,a)]. given #2477 (H,wt=17): 2572 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2161,a,2567,a)]. given #2478 (H,wt=17): 2579 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(73(a,1),2576(a,2,2))]. given #2479 (H,wt=17): 2580 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(62,a,1405,a(flip),b,2575,a)]. given #2480 (H,wt=17): 2581 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2575(a,1),1404(a,1,1)),flip(a)]. given #2481 (H,wt=17): 2584 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(62,a,1783,a(flip),b,2580,a)]. given #2482 (H,wt=18): 2560 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(2553(a,1),335(a,1)),flip(b)]. given #2483 (H,wt=19): 2585 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(62,a,2410,a(flip),b,2584,a)]. given #2484 (H,wt=19): 2586 x \ (x / (1 / (1 / y))) = 1 / (1 / (x \ (x / y))). [hyper(115,a,2584,a(flip),b,2410,a(flip))]. given #2485 (H,wt=19): 2587 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(73(a,1),2585(a,1,2,2,2,2)),flip(a)]. given #2486 (H,wt=19): 2588 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2585(a,1),2179(a,1,1))]. given #2487 (H,wt=19): 2589 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(175,a,2586,a(flip))]. given #2488 (H,wt=19): 2590 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(73(a,1),2586(a,1,2,2,2)),flip(a)]. given #2489 (H,wt=19): 2591 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [hyper(175,a,2587,a)]. given #2490 (H,wt=19): 2592 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(9(a,1),2587(a,2,2,2,2))]. given #2491 (H,wt=18): 2596 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2416(a,2),2592(a,1,2))]. given #2492 (H,wt=14): 2597 x / L(y,y \ 1,x) = x * (1 / y). [para(73(a,1),2596(a,2,2,2))]. given #2493 (H,wt=14): 2598 L(x,x \ 1,y) = (y * (1 / x)) \ y. [hyper(175,a,2597,a),flip(a)]. given #2494 (H,wt=18): 2599 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2597(a,2),631(a,1,1,2))]. given #2495 (H,wt=18): 2600 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(62,a,2429,a,b,2599,a)]. given #2496 (H,wt=19): 2593 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(73(a,1),2588(a,1,1,2,2)),flip(a)]. given #2497 (H,wt=19): 2594 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(176(a,1),2589(a,1,1,2,2)),flip(a)]. given #2498 (H,wt=19): 2603 ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). [hyper(175,a,2593,a)]. given #2499 (H,wt=19): 2604 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2594(a,1),180(a,1,2,1))]. given #2500 (H,wt=17): 2605 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2381(a,2),2604(a,1,2))]. given #2501 (H,wt=17): 2606 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(286,a,280,a,b,2605,a),flip(a)]. given #2502 (H,wt=17): 2607 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(121,a,2605,a),flip(a)]. given #2503 (H,wt=17): 2608 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(2192,a,2606,a)]. given #2504 (H,wt=17): 2611 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2608(a,1),1535(a,1,1))]. given #2505 (H,wt=17): 2612 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(11(a,1),2611(a,1,1)),flip(a)]. given #2506 (H,wt=17): 2613 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(109(a,1),2611(a,1,1,2))]. given #2507 (H,wt=17): 2614 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2161,a,2612,a)]. given #2508 (H,wt=17): 2616 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(109(a,1),2612(a,1,1,2))]. given #2509 (H,wt=17): 2618 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(34,a,1537,a(flip),b,2616,a),flip(a)]. given #2510 (H,wt=17): 2621 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2153(a,2),2618(a,1,1))]. given #2511 (H,wt=18): 2619 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(755,a,2616,a(flip)),flip(a)]. given #2512 (H,wt=19): 2609 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(76(a,1),2607(a,2,2,2,1))]. given #2513 (H,wt=19): 2610 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2607(a,1),108(a,1,2))]. given #2514 (H,wt=19): 2622 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2567(a,1),2618(a,1,1))]. given #2515 (H,wt=19): 2623 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(115,a,2619,a(flip),b,654,a),flip(a)]. given #2516 (H,wt=20): 2570 x / (1 / y) != z * K(y \ 1,y) | x / (y \ 1) = z. [para(2566(a,1),43(a,1))]. given #2517 (H,wt=20): 2582 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2565(a,1),2577(a,1,1))]. given #2518 (H,wt=20): 2615 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2612(a,1),43(a,1)),flip(a)]. given #2519 (H,wt=20): 2620 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2616(a,1),43(a,1)),flip(a)]. given #2520 (H,wt=21): 2549 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2546(a,1),1276(a,1,2))]. given #2521 (H,wt=19): 2625 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2372(a,1),2549(a,1,2))]. given #2522 (H,wt=17): 2626 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2365(a,1),2625(a,2,2))]. given #2523 (H,wt=17): 2628 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2142,a,2626,a)]. given #2524 (H,wt=17): 2629 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(295,a,2626,a),flip(a)]. given #2525 (H,wt=17): 2630 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(115,a,2626,a(flip),b,1780,a)]. given #2526 (H,wt=10): 2636 L(x,K(x,x \ 1),y) = x. [hyper(1403,a,2630,a)]. given #2527 (H,wt=14): 2637 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1435(a,1),2636(a,1,2))]. given #2528 (H,wt=17): 2633 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2323,a,2628,a)]. given #2529 (H,wt=17): 2634 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(62,a,1179,a(flip),b,2629,a),flip(a)]. given #2530 (H,wt=17): 2635 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(62,a,281,a(flip),b,2629,a)]. given #2531 (H,wt=17): 2638 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(286,a,281,a(flip),b,2633,a),flip(a)]. given #2532 (H,wt=15): 2643 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(34,a,2621,a(flip),b,2638,a),flip(a)]. given #2533 (H,wt=15): 2644 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(34,a,2618,a(flip),b,2638,a),flip(a)]. given #2534 (H,wt=15): 2645 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(34,a,2621,a,b,2638,a(flip))]. given #2535 (H,wt=15): 2646 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(34,a,2618,a,b,2638,a(flip))]. given #2536 (H,wt=15): 2649 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(2145,a,2643,a)]. given #2537 (H,wt=15): 2650 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2144,a,2643,a),flip(a)]. given #2538 (H,wt=15): 2651 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(300,a,2643,a),flip(a)]. given #2539 (H,wt=15): 2652 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(115,a,2643,a(flip),b,2157,a(flip))]. given #2540 (H,wt=15): 2654 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2145,a,2644,a)]. given #2541 (H,wt=15): 2655 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2144,a,2644,a),flip(a)]. given #2542 (H,wt=15): 2664 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(116,a,2650,a(flip),b,2153,a(flip))]. given #2543 (H,wt=17): 2639 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [para(109(a,1),2634(a,1,1,2))]. given #2544 (H,wt=17): 2642 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(34,a,2622,a(flip),b,2638,a),flip(a)]. given #2545 (H,wt=17): 2648 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [para(2140(a,1),2638(a,1,1))]. given #2546 (H,wt=17): 2653 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2569(a,1),2643(a,1,2))]. given #2547 (H,wt=17): 2661 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(34,a,2581,a,b,2649,a),flip(a)]. given #2548 (H,wt=17): 2663 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2572(a,1),2649(a,1,1))]. given #2549 (H,wt=17): 2675 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(62,a,2561,a,b,2664,a)]. given #2550 (H,wt=18): 2656 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2644(a,1),42(a,1)),flip(a)]. given #2551 (H,wt=18): 2658 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2645(a,1),42(a,1)),flip(a)]. given #2552 (H,wt=18): 2659 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2645(a,1),2155(a,1)),flip(a)]. given #2553 (H,wt=18): 2662 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2037,a,2649,a(flip)),flip(a)]. given #2554 (H,wt=13): 2682 K(x / (y * x),y) = K(y \ 1,y). [hyper(34,a,2051,a,b,2662,a)]. given #2555 (H,wt=17): 2683 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(12(a,1),2682(a,1,1,2)),flip(a)]. given #2556 (H,wt=18): 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2650(a,1),42(a,1)),flip(a)]. given #2557 (H,wt=18): 2667 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2650(a,1),2155(a,1)),flip(a)]. given #2558 (H,wt=18): 2676 (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. [para(2664(a,1),228(a,1))]. given #2559 (H,wt=19): 2672 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(34,a,142,a,b,2654,a)]. given #2560 (H,wt=19): 2677 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [para(2134(a,1),2639(a,1,1))]. given #2561 (H,wt=13): 2686 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(33,a,2009,a,b,2677,a)]. given #2562 (H,wt=15): 2687 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(286,a,2135,a,b,2686,a)]. given #2563 (H,wt=16): 2689 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2687(a,1),309(a,1))]. given #2564 (H,wt=19): 2681 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(116,a,2584,a(flip),b,2675,a)]. given #2565 (H,wt=20): 2647 x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. [para(2638(a,1),43(a,1))]. given #2566 (H,wt=20): 2678 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2648(a,1),43(a,1))]. given #2567 (H,wt=21): 2557 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(22(a,1),2556(a,2,2)),flip(a)]. given #2568 (H,wt=21): 2595 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(22(a,2),2591(a,1,1,2,2,2))]. given #2569 (H,wt=21): 2685 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(11(a,1),2683(a,2,1))]. given #2570 (H,wt=21): 2690 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2137(a,1),2687(a,1,1))]. given #2571 (H,wt=21): 2692 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2126(a,2),2595(a,1,1,2))]. given #2572 (H,wt=19): 2694 ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). [para(108(a,1),2692(a,1,1))]. given #2573 (H,wt=19): 2695 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [hyper(175,a,2694,a(flip))]. given #2574 (H,wt=19): 2696 (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). [para(73(a,1),2695(a,1,1,1,1,2))]. given #2575 (H,wt=19): 2697 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(175,a,2696,a(flip))]. given #2576 (H,wt=22): 2602 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(76(a,1),2600(a,1,2))]. given #2577 (H,wt=16): 2698 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(916(a,1),2602(a,1,1))]. given #2578 (H,wt=15): 2699 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(62,a,776,a(flip),b,2698,a),flip(a)]. given #2579 (H,wt=13): 2700 T(K(1 / (1 / x),y),x) = K(x,y). [para(2699(a,2),203(a,1,1))]. given #2580 (H,wt=15): 2701 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(73(a,1),2700(a,1,1,1,2))]. given #2581 (H,wt=19): 2703 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2701(a,1),1990(a,1,2)),flip(a)]. given #2582 (H,wt=21): 2702 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(240(a,1),2700(a,1,1,1,2))]. given #2583 (H,wt=17): 2704 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(73(a,1),2702(a,1,1,1))]. given #2584 (H,wt=13): 2705 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(62,a,1988,a(flip),b,2704,a),flip(a)]. given #2585 (H,wt=13): 2706 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(109(a,1),2705(a,1,1)),flip(a)]. given #2586 (H,wt=22): 2671 (K(x,x \ 1) * y) * K(x \ 1,x) != z * u | z \ y = u. [para(2652(a,1),299(a,1))]. given #2587 (H,wt=22): 2674 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2655(a,1),128(a,1,1,1))]. given #2588 (H,wt=22): 2693 T(K(T(x,y),1 / x),z) != u | K(T(x,y),T(x,y) \ 1) = u. [para(2690(a,2),2689(a,1))]. given #2589 (H,wt=23): 2640 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(174(a,1),2635(a,1,1)),flip(a)]. given #2590 (H,wt=21): 2707 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2137(a,1),2640(a,1,2))]. given #2591 (H,wt=19): 2708 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(286,a,2123,a(flip),b,2707,a),flip(a)]. given #2592 (H,wt=24): 2631 (x * y) * K(y,y \ 1) != z * u | z \ (x * T(y,y \ 1)) = u. [para(2626(a,2),513(a,1))]. given #2593 (H,wt=25): 2617 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(879(a,1),2613(a,1,1)),flip(a)]. given #2594 (H,wt=25): 2641 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2120(a,2),2635(a,1,2))]. given #2595 (H,wt=25): 2691 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2557(a,1),2547(a,1,2)),flip(a)]. given #2596 (H,wt=26): 2657 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2644(a,1),94(a,2,2))]. given #2597 (H,wt=26): 2660 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2646(a,1),105(a,2,1))]. given #2598 (H,wt=26): 2673 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2655(a,1),105(a,2,1))]. given #2599 (H,wt=28): 2668 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(856,a,2651,a),flip(a)]. given #2600 (H,wt=29): 2669 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2651(a,1),2504(a,1,2,1))]. given #2601 (H,wt=27): 2710 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2628(a,1),2669(a,1,2,1))]. given #2602 (H,wt=29): 2670 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2651(a,1),2505(a,1,2,1))]. given #2603 (H,wt=27): 2712 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2628(a,1),2670(a,1,2,1))]. given #2604 (H,wt=29): 2711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2629(a,1),2710(a,1,2,1))]. given #2605 (H,wt=31): 2709 (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(241(a,1),2641(a,1,1)),flip(a)]. given #2606 (H,wt=31): 2713 (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(2120(a,2),2709(a,2,2,1))]. given #2607 (H,wt=29): 2714 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(286,a,213,a(flip),b,2713,a),flip(a)]. given #2608 (H,wt=32): 2666 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2650(a,1),94(a,2,1))]. given #2609 (H,wt=33): 2601 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(62,a,95,a,b,2600,a)]. given #2610 (H,wt=33): 2679 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2126(a,2),2653(a,1,2,2))]. given #2611 (H,wt=29): 2715 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1435(a,1),2679(a,1,1))]. given #2612 (H,wt=35): 2558 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(1192(a,1),2556(a,2,1,1))]. given #2613 (H,wt=29): 2716 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(989(a,1),2558(a,2,1))]. given #2614 (H,wt=25): 2717 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(286,a,2418,a(flip),b,2716,a),flip(a)]. given #2615 (H,wt=36): 2624 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1498(a,1),2582(a,2,1))]. given #2616 (H,wt=37): 2108 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(402(a,2),2076(a,2,1,2,1)),flip(a)]. given #2617 (H,wt=35): 2718 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(983(a,1),2108(a,2,2,1))]. given #2618 (H,wt=25): 2719 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1648(a,1),2718(a,1,1)),flip(a)]. given #2619 (H,wt=19): 2720 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(62,a,1773,a(flip),b,2719,a)]. given #2620 (H,wt=19): 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2693,a,2720,a(flip))]. given #2621 (H,wt=17): 2723 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(240(a,1),2722(a,2,2))]. given #2622 (H,wt=15): 2724 K(T(x,y),x \ 1) = K(T(x,y),1 / x). [hyper(62,a,2137,a(flip),b,2723,a),flip(a)]. given #2623 (H,wt=19): 2725 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2724(a,2),2708(a,1,2))]. given #2624 (H,wt=21): 2721 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(286,a,2690,a(flip),b,2720,a)]. given #2625 (H,wt=22): 2726 ((x \ 1) \ 1) * y != (x * y) * z | K(T(x,y),x \ 1) = z. [para(2725(a,1),42(a,1))]. given #2626 (H,wt=37): 2190 (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(2157(a,2),655(a,1,2))]. given #2627 (H,wt=37): 2680 ((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(2663(a,1),466(a,1,1))]. given #2628 (H,wt=31): 2728 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2663(a,1),2680(a,1,2)),flip(a)]. given #2629 (H,wt=24): 2729 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(286,a,20,a,b,2728,a),flip(a)]. given #2630 (H,wt=34): 2730 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(109(a,2),2729(a,1,2,2))]. given #2631 (H,wt=30): 2731 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1391(a,1),2730(a,1,3))]. given #2632 (H,wt=26): 2732 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(73(a,1),2731(a,2,3))]. given #2633 (H,wt=38): 930 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,(x * y) \ 1). [para(715(a,2),874(a,1,1,2))]. given #2634 (H,wt=38): 1488 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(1451(a,1),578(a,1,2))]. given #2635 (H,wt=32): 2733 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2321(a,1),1488(a,1,2,2,2)),flip(a)]. given #2636 (H,wt=25): 2734 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2637(a,1),2733(a,1,1)),flip(a)]. given #2637 (H,wt=38): 1835 (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(670(a,1),1826(a,1,2,1)),flip(a)]. given #2638 (H,wt=32): 2736 (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(286,a,433,a(flip),b,1835,a),flip(a)]. given #2639 (H,wt=30): 2737 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(215(a,1),2736(a,2,2))]. given #2640 (H,wt=39): 1933 (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(1932(a,1),208(a,1,2,1))]. given #2641 (H,wt=32): 2738 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1883(a,1),1933(a,1,2))]. given #2642 (H,wt=23): 2739 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(711,a,2738,a),flip(a)]. given #2643 (H,wt=17): 2740 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(62,a,2460,a(flip),b,2739,a)]. given #2644 (H,wt=13): 2741 K(x,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2042,a(flip),b,2740,a),flip(a)]. given #2645 (H,wt=17): 2744 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(12(a,1),2741(a,1,2,2)),flip(a)]. given #2646 (H,wt=19): 2743 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(62,a,2685,a,b,2741,a)]. given #2647 (H,wt=17): 2747 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2743(a,1),2043(a,1,1))]. given #2648 (H,wt=17): 2748 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2145,a,2747,a)]. given #2649 (H,wt=17): 2749 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(546,a,2747,a)]. given #2650 (H,wt=17): 2750 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(62,a,1698,a(flip),b,2747,a)]. given #2651 (H,wt=17): 2751 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(116,a,2747,a(flip),b,1698,a(flip))]. given #2652 (H,wt=10): 2757 R(x,K(x,x \ 1),y) = x. [hyper(1448,a,2751,a)]. given #2653 (H,wt=14): 2758 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1435(a,1),2757(a,1,2))]. given #2654 (H,wt=17): 2754 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(286,a,282,a(flip),b,2748,a),flip(a)]. given #2655 (H,wt=13): 2762 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(33,a,2725,a,b,2754,a)]. given #2656 (H,wt=15): 2763 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(62,a,2723,a,b,2762,a)]. given #2657 (H,wt=15): 2767 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(115,a,2763,a(flip),b,1389,a(flip))]. given #2658 (H,wt=13): 2771 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(62,a,2139,a(flip),b,2767,a)]. given #2659 (H,wt=13): 2772 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(129,a,2771,a)]. given #2660 (H,wt=11): 2773 T(x,y) \ x = x / T(x,y). [hyper(1185,a,2772,a),flip(a)]. given #2661 (H,wt=11): 2777 (T(x,y) \ x) \ x = T(x,y). [hyper(175,a,2773,a(flip))]. given #2662 (H,wt=11): 2778 (T(x,y) \ x) * T(x,y) = x. [hyper(129,a,2773,a(flip))]. given #2663 (H,wt=10): 2780 L(x,T(x,y) \ x,x) = x. [hyper(62,a,2250,a,b,2778,a)]. given #2664 (H,wt=13): 2774 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(216,a,2772,a,b,952,a)]. given #2665 (H,wt=13): 2782 (x * y) * T(K(y,x),x) = y * x. [para(2780(a,1),2249(a,1,2)),flip(a)]. given #2666 (H,wt=9): 2784 T(K(x,y),y) = K(x,y). [hyper(275,a,2782,a),flip(a)]. given #2667 (H,wt=7): 2786 T(x,K(y,x)) = x. [hyper(53,a,2784,a)]. given #2668 (H,wt=9): 2792 T(x,K(y,T(x,z))) = x. [hyper(136,a,2786,a)]. given #2669 (H,wt=9): 2801 T(x,y \ T(y,x)) = x. [para(1086(a,1),2786(a,1,2))]. given #2670 (H,wt=10): 2791 T(x,K(y,R(x,z,u))) = x. [hyper(141,a,2786,a)]. given #2671 (H,wt=11): 2785 (x * K(y,x)) / x = K(y,x). [hyper(244,a,2784,a)]. given #2672 (H,wt=11): 2787 K(x,y) * y = y * K(x,y). [para(2784(a,1),108(a,1,2)),flip(a)]. given #2673 (H,wt=11): 2793 T(T(x,y),K(z,x)) = T(x,y). [para(2786(a,1),23(a,1,1)),flip(a)]. given #2674 (H,wt=11): 2800 T(x,y * T(y \ 1,x)) = x. [para(1082(a,1),2786(a,1,2))]. given #2675 (H,wt=11): 2802 T(x,x \ ((y * x) / y)) = x. [para(1277(a,1),2786(a,1,2))]. given #2676 (H,wt=12): 2811 L(K(x,y),y,1 / y) = K(x,y). [hyper(62,a,2293,a,b,2785,a)]. given #2677 (H,wt=13): 2805 T(x / y,K(z,y \ x)) = x / y. [para(110(a,1),2792(a,1,2,2))]. given #2678 (H,wt=13): 2821 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(658,a,2811,a)]. given #2679 (H,wt=13): 2822 (1 / x) \ K(y,x) = x * K(y,x). [hyper(115,a,2811,a(flip),b,237,a)]. given #2680 (H,wt=14): 2776 T(x,y) \ x != z | x / T(x,y) = z. [para(2772(a,1),1185(a,1))]. given #2681 (H,wt=14): 2788 x * K(y,x) != z * x | K(y,x) = z. [para(2784(a,1),218(a,1,2))]. given #2682 (H,wt=14): 2789 (x * K(y,x)) / x != z | K(y,x) = z. [para(2784(a,1),257(a,1,1,2)),flip(b)]. given #2683 (H,wt=14): 2810 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(2791(a,1),23(a,1,1)),flip(a)]. given #2684 (H,wt=15): 2770 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1396,a,2767,a)]. given #2685 (H,wt=15): 2779 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2773(a,2),1922(a,1,1))]. given #2686 (H,wt=15): 2783 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(62,a,2175,a,b,2774,a)]. given #2687 (H,wt=15): 2794 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2786(a,1),213(a,1,2,1)),flip(a)]. given #2688 (H,wt=15): 2804 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(2792(a,1),108(a,1,2))]. given #2689 (H,wt=15): 2807 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2801(a,1),108(a,1,2))]. given #2690 (H,wt=15): 2820 x \ ((y * x) / y) = ((y * x) / y) / x. [para(2802(a,1),240(a,1,2)),flip(a)]. given #2691 (H,wt=15): 2825 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(129,a,2783,a)]. given #2692 (H,wt=15): 2827 x * (((y * x) / y) / x) = (y * x) / y. [hyper(131,a,2820,a)]. given #2693 (H,wt=15): 2829 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(329,a,2825,a)]. given #2694 (H,wt=16): 2824 x * (y * K(z,y)) != K(z,y) | 1 / y = x. [para(2821(a,1),43(a,1)),flip(a)]. given #2695 (H,wt=17): 2755 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(62,a,2314,a(flip),b,2748,a)]. given #2696 (H,wt=17): 2756 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2644(a,1),2749(a,1,2)),flip(a)]. given #2697 (H,wt=17): 2760 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(62,a,2314,a(flip),b,2754,a)]. given #2698 (H,wt=17): 2761 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(34,a,2649,a,b,2754,a)]. given #2699 (H,wt=17): 2790 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2784(a,1),214(a,1,2,1)),flip(a)]. given #2700 (H,wt=10): 2843 T(x,L(K(y,x),z,u)) = x. [hyper(217,a,2790,a)]. given #2701 (H,wt=17): 2795 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2786(a,1),214(a,1,2,1)),flip(a)]. given #2702 (H,wt=17): 2796 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2786(a,1),215(a,1,2,1)),flip(a)]. given #2703 (H,wt=17): 2819 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(53,a,2800,a)]. given #2704 (H,wt=17): 2823 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(115,a,2821,a(flip),b,170,a(flip)),flip(a)]. given #2705 (H,wt=17): 2832 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(62,a,2717,a(flip),b,2829,a),flip(a)]. given #2706 (H,wt=17): 2833 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2829(a,1),2127(a,1,2))]. given #2707 (H,wt=11): 2849 x * (T(x,y) / x) = T(x,y). [hyper(34,a,2342,a,b,2833,a)]. given #2708 (H,wt=11): 2851 x \ T(x,y) = T(x,y) / x. [hyper(121,a,2849,a)]. given #2709 (H,wt=9): 2854 T(x,x \ T(x,y)) = x. [hyper(322,a,2851,a)]. given #2710 (H,wt=9): 2865 K(x,x \ T(x,y)) = 1. [hyper(54,a,2854,a)]. given #2711 (H,wt=9): 2868 K(x,T(x,y) / x) = 1. [para(2851(a,1),2865(a,1,2))]. given #2712 (H,wt=11): 2852 (x \ T(x,y)) * x = T(x,y). [para(2849(a,1),77(a,1,1,2))]. given #2713 (H,wt=11): 2869 T(1 / x,T(x,y)) = x \ 1. [hyper(115,a,2868,a(flip),b,1022,a),flip(a)]. given #2714 (H,wt=13): 2867 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1086(a,2),2854(a,1,2))]. given #2715 (H,wt=13): 2877 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(286,a,76,a(flip),b,2869,a),flip(a)]. given #2716 (H,wt=13): 2879 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2869(a,1),223(a,1,1)),flip(a)]. given #2717 (H,wt=13): 2883 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2877(a,1),1379(a,1,1)),flip(a)]. given #2718 (H,wt=14): 2853 x \ T(x,y) != z | T(x,y) / x = z. [para(2849(a,1),301(a,1,2)),flip(b)]. given #2719 (H,wt=14): 2858 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2851(a,2),263(a,1,1)),flip(b)]. given #2720 (H,wt=14): 2866 T(x,y) / x != z | x \ T(x,y) = z. [para(2854(a,1),285(a,1,2))]. given #2721 (H,wt=15): 2863 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2851(a,2),2114(a,1,1))]. given #2722 (H,wt=15): 2875 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1086(a,2),2852(a,1,1)),flip(a)]. given #2723 (H,wt=15): 2882 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1112,a,2867,a)]. given #2724 (H,wt=15): 2890 ((x * y) / x) \ y = y / ((x * y) / x). [hyper(182,a,2882,a),flip(a)]. given #2725 (H,wt=15): 2891 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(131,a,2882,a)]. given #2726 (H,wt=16): 2862 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(2851(a,2),1153(a,1))]. given #2727 (H,wt=16): 2870 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(62,a,1616,a,b,2852,a)]. given #2728 (H,wt=15): 2895 T(x,x / (y * x)) = T(x,x / (x * y)). [para(197(a,1),2870(a,1,2))]. given #2729 (H,wt=16): 2878 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(62,a,1592,a(flip),b,2869,a)]. given #2730 (H,wt=14): 2898 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(204(a,1),2878(a,1,3,2))]. given #2731 (H,wt=16): 2880 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2869(a,1),365(a,2,1))]. given #2732 (H,wt=16): 2887 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(917(a,2),2866(a,1))]. given #2733 (H,wt=17): 2839 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2649(a,1),2760(a,1,2)),flip(a)]. given #2734 (H,wt=17): 2840 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(546,a,2761,a)]. given #2735 (H,wt=17): 2841 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(300,a,2761,a),flip(a)]. given #2736 (H,wt=17): 2855 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(286,a,916,a,b,2851,a)]. given #2737 (H,wt=17): 2857 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(286,a,881,a(flip),b,2851,a),flip(a)]. given #2738 (H,wt=17): 2881 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2869(a,1),1088(a,1,1)),flip(a)]. given #2739 (H,wt=15): 2908 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2879(a,1),2881(a,1,2)),flip(a)]. given #2740 (H,wt=13): 2909 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(286,a,317,a(flip),b,2908,a),flip(a)]. given #2741 (H,wt=17): 2893 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(116,a,2890,a,b,1314,a)]. given #2742 (H,wt=17): 2899 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(115,a,10,a(flip),b,2839,a),flip(a)]. given #2743 (H,wt=17): 2900 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(115,a,2839,a(flip),b,2157,a(flip))]. given #2744 (H,wt=17): 2904 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(286,a,2153,a(flip),b,2841,a),flip(a)]. given #2745 (H,wt=17): 2913 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2658,a,2899,a)]. given #2746 (H,wt=17): 2914 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2156,a,2899,a)]. given #2747 (H,wt=17): 2915 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(62,a,1114,a(flip),b,2899,a)]. given #2748 (H,wt=18): 2775 T(x,y) \ x != x * z | T(1 / T(x,y),x) = z. [para(2772(a,1),217(a,2)),flip(a)]. given #2749 (H,wt=18): 2797 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2786(a,1),375(a,1,2,1))]. given #2750 (H,wt=18): 2812 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(62,a,1157,a,b,2785,a)]. given #2751 (H,wt=18): 2830 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(2827(a,1),42(a,1))]. given #2752 (H,wt=18): 2856 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(286,a,1589,a(flip),b,2851,a),flip(a)]. given #2753 (H,wt=11): 2921 T(x,y \ ((x * y) / x)) = x. [para(2856(a,1),2854(a,1,2))]. given #2754 (H,wt=9): 2922 T(x,T(y,x) \ y) = x. [para(204(a,1),2921(a,1,2,2))]. given #2755 (H,wt=15): 2923 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2922(a,1),108(a,1,2))]. given #2756 (H,wt=18): 2859 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2851(a,2),105(a,1,1))]. given #2757 (H,wt=18): 2876 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2852(a,1),838(a,1,1)),flip(a)]. given #2758 (H,wt=10): 2928 L(x,x \ T(x,y),x) = x. [hyper(286,a,73,a(flip),b,2876,a),flip(a)]. given #2759 (H,wt=18): 2905 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2857(a,1),694(a,2,1)),flip(a)]. given #2760 (H,wt=11): 2930 K(x \ 1,y) = K(1 / x,y). [hyper(62,a,2600,a(flip),b,2905,a),flip(a)]. given #2761 (H,wt=11): 2931 K(1 / (1 / x),y) = K(x,y). [hyper(62,a,632,a(flip),b,2930,a),flip(a)]. given #2762 (H,wt=9): 2934 T(K(x,y),x) = K(x,y). [para(2931(a,1),2700(a,1,1))]. given #2763 (H,wt=7): 2937 T(x,K(x,y)) = x. [hyper(53,a,2934,a)]. given #2764 (H,wt=11): 2932 K((x \ 1) \ 1,y) = K(x,y). [para(73(a,1),2930(a,2,1))]. given #2765 (H,wt=11): 2936 K(T(x,x \ 1),y) = K(x,y). [hyper(62,a,2705,a,b,2934,a)]. given #2766 (H,wt=14): 2940 K(x,y) * x != z | x * K(x,y) = z. [para(2937(a,1),262(a,1,2))]. given #2767 (H,wt=15): 2941 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2937(a,1),213(a,1,2,1)),flip(a)]. given #2768 (H,wt=11): 2948 T(K(x,y),T(x,z)) = K(x,y). [hyper(217,a,2941,a)]. given #2769 (H,wt=15): 2944 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(2937(a,1),283(a,1,1)),flip(a)]. given #2770 (H,wt=17): 2938 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2934(a,1),215(a,1,2,1)),flip(a)]. given #2771 (H,wt=10): 2954 T(x,R(K(x,y),z,u)) = x. [hyper(217,a,2938,a)]. given #2772 (H,wt=10): 2955 K(x,R(K(x,y),z,u)) = 1. [hyper(54,a,2954,a)]. given #2773 (H,wt=17): 2942 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2937(a,1),214(a,1,2,1)),flip(a)]. given #2774 (H,wt=17): 2943 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(2937(a,1),215(a,1,2,1)),flip(a)]. given #2775 (H,wt=12): 2957 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(217,a,2943,a)]. given #2776 (H,wt=18): 2924 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(2922(a,1),262(a,1,2))]. given #2777 (H,wt=18): 2949 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(2941(a,2),42(a,1))]. given #2778 (H,wt=18): 2952 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2948(a,1),262(a,1,2))]. given #2779 (H,wt=19): 2745 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(286,a,2683,a,b,2744,a)]. given #2780 (H,wt=17): 2959 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(62,a,2832,a(flip),b,2745,a),flip(a)]. given #2781 (H,wt=19): 2798 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2786(a,1),398(a,1,2,1,1)),flip(a)]. given #2782 (H,wt=19): 2803 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2786(a,1),2361(a,1,1,1)),flip(a)]. given #2783 (H,wt=11): 2961 (K(x,y) \ y) * K(x,y) = y. [hyper(33,a,85,a(flip),b,2803,a),flip(a)]. given #2784 (H,wt=11): 2962 K(x,y) \ y = y / K(x,y). [hyper(127,a,2961,a),flip(a)]. given #2785 (H,wt=14): 2963 x / K(y,x) != z | K(y,x) \ x = z. [para(2961(a,1),227(a,1,1)),flip(b)]. given #2786 (H,wt=19): 2806 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(2792(a,1),213(a,1,2,1)),flip(a)]. given #2787 (H,wt=19): 2808 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2801(a,1),213(a,1,2,1)),flip(a)]. given #2788 (H,wt=15): 2964 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(217,a,2808,a)]. given #2789 (H,wt=19): 2846 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2819(a,1),1464(a,1,2)),flip(a)]. given #2790 (H,wt=19): 2885 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2883(a,1),1625(a,1,1))]. given #2791 (H,wt=19): 2906 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2857(a,1),2486(a,1,1))]. given #2792 (H,wt=19): 2917 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2899(a,1),2621(a,1,1))]. given #2793 (H,wt=19): 2919 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2203(a,1),2915(a,1,2))]. given #2794 (H,wt=19): 2933 K(T(x \ 1,y) \ 1,z) = K(T(1 / x,y) \ 1,z). [para(2119(a,2),2930(a,2,1))]. given #2795 (H,wt=19): 2947 K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). [para(2697(a,1),2932(a,1,1))]. given #2796 (H,wt=19): 2965 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,282,a(flip),b,2885,a)]. given #2797 (H,wt=19): 2972 (((x \ y) / y) \ 1) \ 1 = (((x \ 1) \ 1) \ y) / y. [hyper(116,a,2919,a(flip),b,2131,a),flip(a)]. given #2798 (H,wt=19): 2973 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(76(a,1),2919(a,1,2,1,1,2)),flip(a)]. given #2799 (H,wt=19): 2974 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(76(a,1),2972(a,2,1,1,1))]. given #2800 (H,wt=19): 2975 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [hyper(182,a,2973,a)]. given #2801 (H,wt=19): 2976 ((x / (x * y)) \ 1) \ 1 = x / (x * ((y \ 1) \ 1)). [para(9(a,1),2975(a,1,2,2,1,1)),flip(a)]. given #2802 (H,wt=19): 2977 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2131(a,2),2975(a,1,2))]. given #2803 (H,wt=19): 2978 ((x / (y * x)) \ 1) \ 1 = x / (((y \ 1) \ 1) * x). [para(11(a,1),2977(a,1,2,1,1,1)),flip(a)]. given #2804 (H,wt=20): 2752 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(2747(a,1),2144(a,1)),flip(b)]. given #2805 (H,wt=20): 2813 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(2787(a,1),92(a,1,1))]. given #2806 (H,wt=20): 2814 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2787(a,1),104(a,1,2))]. given #2807 (H,wt=20): 2815 R((x / y) / K(z,y),K(z,y),y) = x / (y * K(z,y)). [para(2787(a,1),478(a,2,2))]. given #2808 (H,wt=20): 2838 ((x \ 1) \ 1) * y != x * (z * K(x,x \ 1)) | z = y. [para(2760(a,2),42(a,1)),flip(a)]. given #2809 (H,wt=20): 2842 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2761(a,1),2155(a,1)),flip(a)]. given #2810 (H,wt=20): 2844 L(x,y,z) * K(u,x) != w * L(x,y,z) | K(u,x) = w. [para(2795(a,2),43(a,1))]. given #2811 (H,wt=20): 2845 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2796(a,1),42(a,1)),flip(a)]. given #2812 (H,wt=20): 2861 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(2851(a,2),923(a,1))]. given #2813 (H,wt=20): 2888 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(916(a,2),2866(a,1))]. given #2814 (H,wt=20): 2916 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2899(a,1),2156(a,1))]. given #2815 (H,wt=20): 2920 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2856(a,1),2487(a,1,2)),flip(a)]. given #2816 (H,wt=18): 2979 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(286,a,2497,a(flip),b,2920,a),flip(a)]. given #2817 (H,wt=20): 2925 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(62,a,1590,a,b,2923,a)]. given #2818 (H,wt=20): 2945 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(2937(a,1),376(a,1,2,1))]. given #2819 (H,wt=20): 2946 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2937(a,1),377(a,1,2,1))]. given #2820 (H,wt=20): 2958 R(x,y,z) * K(x,u) != w * R(x,y,z) | K(x,u) = w. [para(2943(a,2),43(a,1))]. given #2821 (H,wt=20): 2980 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(115,a,2979,a(flip),b,952,a),flip(a)]. given #2822 (H,wt=17): 2983 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2980(a,1),2133(a,1,2))]. given #2823 (H,wt=15): 2984 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(204(a,1),2983(a,1,2,2,1))]. given #2824 (H,wt=20): 2982 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(204(a,1),2979(a,2,1))]. given #2825 (H,wt=15): 2987 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2925(a,1),2982(a,1,1))]. given #2826 (H,wt=15): 2988 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(182,a,2987,a)]. given #2827 (H,wt=21): 2768 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2763(a,1),2663(a,1,2))]. given #2828 (H,wt=21): 2799 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(2786(a,1),589(a,1,2,1,1)),flip(a)]. given #2829 (H,wt=21): 2831 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1316(a,1),2827(a,1,2))]. given #2830 (H,wt=21): 2834 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2829(a,1),2661(a,1,1))]. given #2831 (H,wt=21): 2835 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2829(a,1),2691(a,2,2))]. given #2832 (H,wt=21): 2837 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(594(a,1),2755(a,2,1))]. given #2833 (H,wt=17): 2995 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(62,a,2316,a(flip),b,2837,a)]. given #2834 (H,wt=14): 3000 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(34,a,2165,a,b,2995,a),flip(a)]. given #2835 (H,wt=13): 3005 L(x,y,y \ 1) = L(x,y,1 / y). [hyper(441,a,3000,a),flip(a)]. given #2836 (H,wt=14): 3006 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(300,a,3000,a),flip(a)]. given #2837 (H,wt=12): 3012 L(x,1 / y,K(y \ 1,y)) = x. [hyper(1957,a,3006,a),flip(a)]. given #2838 (H,wt=14): 3007 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(121,a,3000,a)]. given #2839 (H,wt=14): 3016 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1388(a,1),3012(a,1,3))]. given #2840 (H,wt=15): 3015 T(x,(x \ 1) * y) = T(x,(1 / x) * y). [para(3006(a,1),2337(a,1,2)),flip(a)]. given #2841 (H,wt=16): 3004 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(532,a,3000,a),flip(a)]. given #2842 (H,wt=17): 2996 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1435(a,1),2837(a,1,2,2))]. given #2843 (H,wt=17): 2997 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2659,a,2995,a)]. given #2844 (H,wt=14): 3022 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1702,a,2997,a)]. given #2845 (H,wt=13): 3026 L(x,y \ 1,y) = L(x,1 / y,y). [hyper(757,a,3022,a),flip(a)]. given #2846 (H,wt=17): 2998 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2161,a,2995,a)]. given #2847 (H,wt=17): 2999 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(512,a,2995,a),flip(a)]. given #2848 (H,wt=17): 3011 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(73(a,1),3005(a,2,3))]. given #2849 (H,wt=17): 3017 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3016(a,1),1434(a,1,2)),flip(a)]. given #2850 (H,wt=17): 3018 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(2162,a,2996,a)]. given #2851 (H,wt=17): 3020 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(115,a,10,a(flip),b,2996,a),flip(a)]. given #2852 (H,wt=17): 3021 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2646(a,1),2996(a,1,2)),flip(a)]. given #2853 (H,wt=17): 3028 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(73(a,1),3026(a,2,2))]. given #2854 (H,wt=17): 3030 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(300,a,2998,a),flip(a)]. given #2855 (H,wt=17): 3034 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2656,a,3017,a)]. given #2856 (H,wt=17): 3036 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2667,a,3020,a)]. given #2857 (H,wt=17): 3037 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2659,a,3020,a)]. given #2858 (H,wt=17): 3043 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(62,a,2347,a(flip),b,3034,a)]. given #2859 (H,wt=17): 3047 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(2162,a,3043,a)]. given #2860 (H,wt=17): 3048 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1529,a,3047,a),flip(a)]. given #2861 (H,wt=17): 3049 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(115,a,10,a(flip),b,3047,a),flip(a)]. given #2862 (H,wt=17): 3052 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(2658,a,3049,a)]. given #2863 (H,wt=17): 3055 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1386(a,1),3052(a,1,1))]. given #2864 (H,wt=17): 3056 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(2151,a,3055,a)]. given #2865 (H,wt=18): 3013 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(286,a,170,a(flip),b,3006,a),flip(a)]. given #2866 (H,wt=18): 3014 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3006(a,1),581(a,1,2))]. given #2867 (H,wt=18): 3041 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(534,a,3028,a),flip(a)]. given #2868 (H,wt=19): 3001 ((x \ 1) * y) / (x \ 1) = ((1 / x) * y) / (1 / x). [hyper(116,a,2995,a(flip),b,2564,a)]. given #2869 (H,wt=19): 3003 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2995(a,1),2618(a,1,1))]. given #2870 (H,wt=17): 3059 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(116,a,2287,a(flip),b,3003,a(flip)),flip(a)]. given #2871 (H,wt=19): 3038 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(286,a,2822,a(flip),b,3020,a),flip(a)]. given #2872 (H,wt=17): 3060 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2842,a,3038,a)]. given #2873 (H,wt=19): 3039 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(115,a,3020,a(flip),b,2904,a),flip(a)]. given #2874 (H,wt=19): 3045 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3034(a,1),2568(a,1,1))]. given #2875 (H,wt=19): 3051 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(286,a,2661,a(flip),b,3048,a),flip(a)]. given #2876 (H,wt=11): 3064 T(x,1 / (1 / y)) = T(x,y). [hyper(216,a,3051,a(flip),b,144,a(flip))]. given #2877 (H,wt=11): 3066 T(x,y \ 1) = T(x,1 / y). [para(73(a,1),3064(a,1,2,2)),flip(a)]. given #2878 (H,wt=11): 3067 T(x,(y \ 1) \ 1) = T(x,y). [para(176(a,1),3064(a,1,2)),flip(a)]. given #2879 (H,wt=15): 3069 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3066(a,2),108(a,1,2))]. given #2880 (H,wt=17): 3071 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3067(a,1),108(a,1,2))]. given #2881 (H,wt=17): 3073 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(286,a,281,a,b,3071,a),flip(a)]. given #2882 (H,wt=17): 3074 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(576,a,3073,a)]. given #2883 (H,wt=19): 3062 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(62,a,2760,a,b,3060,a)]. given #2884 (H,wt=20): 3002 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2995(a,1),43(a,1))]. given #2885 (H,wt=20): 3023 K(x,x \ 1) * y != (1 / x) * z | (x \ 1) * z = y. [para(2997(a,1),42(a,1)),flip(a)]. given #2886 (H,wt=20): 3040 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3021(a,1),235(a,1,2)),flip(a)]. given #2887 (H,wt=20): 3054 (1 / (1 / x)) \ y != K(x,x \ 1) * z | x \ y = z. [para(3052(a,1),42(a,1))]. given #2888 (H,wt=20): 3058 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2900(a,1),3041(a,1,1))]. given #2889 (H,wt=21): 2874 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2852(a,1),473(a,1,1,1))]. given #2890 (H,wt=21): 2903 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1439(a,1),2840(a,1,2,1))]. given #2891 (H,wt=21): 2918 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1391(a,2),2914(a,1,2))]. given #2892 (H,wt=21): 2926 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(2923(a,1),1748(a,1,2,1))]. given #2893 (H,wt=21): 2935 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2466,a,2934,a)]. given #2894 (H,wt=21): 2960 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(2959(a,2),2547(a,1,2))]. given #2895 (H,wt=19): 3077 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(33,a,2835,a(flip),b,2960,a),flip(a)]. given #2896 (H,wt=21): 2971 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(286,a,2914,a,b,2919,a)]. given #2897 (H,wt=19): 3079 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(33,a,2383,a,b,2971,a)]. given #2898 (H,wt=21): 2981 ((x * y) / x) \ y != z \ x | T(x,R(y,y \ 1,x)) = z. [para(2979(a,1),47(a,1))]. given #2899 (H,wt=21): 3008 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(235(a,1),3000(a,1,2)),flip(a)]. given #2900 (H,wt=21): 3050 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2829(a,1),3047(a,1,2,1))]. given #2901 (H,wt=21): 3076 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(2923(a,1),2926(a,2,1))]. given #2902 (H,wt=17): 3083 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(2987(a,1),3076(a,1,2)),flip(a)]. given #2903 (H,wt=21): 3078 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3077(a,1),1402(a,1,1))]. given #2904 (H,wt=16): 3084 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(62,a,2662,a(flip),b,3078,a)]. given #2905 (H,wt=16): 3085 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(286,a,2978,a(flip),b,3084,a),flip(a)]. given #2906 (H,wt=16): 3087 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3084(a,2),3067(a,1,2))]. given #2907 (H,wt=16): 3089 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(175,a,3085,a(flip))]. given #2908 (H,wt=16): 3090 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(109(a,2),3085(a,2,2,1)),flip(a)]. given #2909 (H,wt=17): 3088 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(286,a,193,a,b,3085,a)]. given #2910 (H,wt=17): 3091 T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). [para(197(a,2),3087(a,2,2))]. given #2911 (H,wt=18): 3093 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(76(a,1),3089(a,1,1,1))]. given #2912 (H,wt=14): 3095 R(x,1 / x,y) \ y = (x \ 1) * y. [para(76(a,1),3093(a,2,1,1))]. given #2913 (H,wt=13): 3096 R(x,x \ 1,y) = R(x,1 / x,y). [hyper(549,a,3095,a)]. given #2914 (H,wt=20): 3094 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(286,a,1291,a,b,3091,a)]. given #2915 (H,wt=21): 3082 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2126(a,2),3050(a,2,1))]. given #2916 (H,wt=21): 3100 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(115,a,10,a(flip),b,3082,a),flip(a)]. given #2917 (H,wt=21): 3101 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3100,a)]. given #2918 (H,wt=22): 2809 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2801(a,1),375(a,1,2,1))]. given #2919 (H,wt=22): 2818 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2793(a,1),375(a,1,2,1))]. given #2920 (H,wt=22): 2826 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2807(a,1),970(a,1,2,2))]. given #2921 (H,wt=22): 2847 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2535,a,2823,a)]. given #2922 (H,wt=22): 2871 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2852(a,1),18(a,2,1)),flip(a)]. given #2923 (H,wt=21): 3105 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2871(a,1),970(a,1,2)),flip(a)]. given #2924 (H,wt=21): 3106 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(10(a,1),3105(a,1,1)),flip(a)]. given #2925 (H,wt=22): 2872 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2852(a,1),92(a,1,1))]. given #2926 (H,wt=22): 2894 x / ((y * x) / y) != z * u | (((y * x) / y) \ x) / u = z. [para(2891(a,1),293(a,1,1))]. given #2927 (H,wt=22): 2970 (((x \ 1) \ 1) \ y) * z != (x \ y) * x | (x \ 1) \ 1 = z. [para(2917(a,1),42(a,1)),flip(a)]. given #2928 (H,wt=22): 2986 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(116,a,2982,a(flip),b,2772,a),flip(a)]. given #2929 (H,wt=17): 3108 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2925(a,1),2986(a,1,2))]. given #2930 (H,wt=22): 3061 x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. [para(3038(a,1),43(a,1)),flip(a)]. given #2931 (H,wt=22): 3075 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2999(a,2),3058(a,1,1))]. given #2932 (H,wt=22): 3097 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3096(a,2),1427(a,1,1))]. given #2933 (H,wt=21): 3110 R(1 / (1 / x),x \ 1,y) = R(1 / (1 / x),1 / x,y). [hyper(62,a,1427,a(flip),b,3097,a)]. given #2934 (H,wt=22): 3104 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(131,a,2847,a(flip))]. given #2935 (H,wt=22): 3111 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(286,a,363,a(flip),b,3110,a),flip(a)]. given #2936 (H,wt=23): 2816 K(x,y) * (y * z) != (y * K(x,y)) * u | L(z,y,K(x,y)) = u. [para(2787(a,1),435(a,1,1)),flip(a)]. given #2937 (H,wt=23): 2817 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2787(a,1),471(a,2,2))]. given #2938 (H,wt=23): 2864 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2851(a,2),2301(a,1,1,2))]. given #2939 (H,wt=23): 2896 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(2870(a,1),2858(a,1,1,2))]. given #2940 (H,wt=23): 2927 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2923(a,1),1934(a,1,1,2,1))]. given #2941 (H,wt=23): 2956 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(2954(a,1),214(a,1,2,1))]. given #2942 (H,wt=23): 2990 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(983(a,1),2768(a,1,1))]. given #2943 (H,wt=17): 3116 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(34,a,2748,a,b,2990,a),flip(a)]. given #2944 (H,wt=17): 3117 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(634,a,3116,a)]. given #2945 (H,wt=23): 3019 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(286,a,2148,a,b,2996,a)]. given #2946 (H,wt=23): 3044 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2545(a,1),3034(a,1,2))]. given #2947 (H,wt=23): 3053 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2519(a,1),3049(a,1,2))]. given #2948 (H,wt=23): 3102 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3100(a,1),2839(a,1,2))]. given #2949 (H,wt=23): 3109 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2857(a,1),3108(a,2,1))]. given #2950 (H,wt=23): 3114 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2851(a,2),2864(a,2,2,1,2))]. given #2951 (H,wt=23): 3115 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(286,a,2923,a(flip),b,2927,a),flip(a)]. given #2952 (H,wt=19): 3123 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2987(a,1),3115(a,1,1,2))]. given #2953 (H,wt=15): 3124 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(33,a,3114,a(flip),b,3123,a(flip))]. given #2954 (H,wt=23): 3121 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2703(a,1),3053(a,1,2))]. given #2955 (H,wt=17): 3125 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(62,a,2998,a(flip),b,3121,a)]. given #2956 (H,wt=19): 3126 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3125(a,1),1651(a,1,1))]. given #2957 (H,wt=24): 2860 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2851(a,2),481(a,1,1))]. given #2958 (H,wt=24): 2902 ((x \ 1) \ 1) * (K(x \ 1,x) * y) != z * u | z \ (x * y) = u. [para(2839(a,2),513(a,1))]. given #2959 (H,wt=24): 2992 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(2831(a,1),42(a,1))]. given #2960 (H,wt=24): 2993 (x * y) * ((((x * y) \ y) \ 1) \ 1) != y * z | K(x \ 1,x) = z. [para(2835(a,2),42(a,1))]. given #2961 (H,wt=24): 3046 ((x \ 1) \ y) * K(x \ 1,x) != z * u | z \ ((1 / x) \ y) = u. [para(3037(a,1),2671(a,1,1))]. given #2962 (H,wt=24): 3099 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3088(a,2),3094(a,2,2)),flip(a)]. given #2963 (H,wt=24): 3128 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(400(a,1),2860(a,2,1))]. given #2964 (H,wt=24): 3129 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1636(a,1),3099(a,2,1))]. given #2965 (H,wt=25): 2769 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2763(a,1),2714(a,1,2))]. given #2966 (H,wt=21): 3131 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2763(a,1),2769(a,1,2))]. given #2967 (H,wt=25): 2836 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2829(a,1),2715(a,1,1))]. given #2968 (H,wt=21): 3135 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(76(a,1),2836(a,2,2))]. given #2969 (H,wt=23): 3138 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3135(a,1),2839(a,1,2))]. given #2970 (H,wt=25): 2873 T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. [para(2852(a,1),435(a,1,1))]. given #2971 (H,wt=25): 2968 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1264(a,2),2906(a,1,1)),flip(a)]. given #2972 (H,wt=9): 3140 T(x,K(y,x) \ 1) = x. [para(2968(a,1),2922(a,1,2))]. given #2973 (H,wt=14): 3139 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2968(a,1),2898(a,1,3))]. given #2974 (H,wt=15): 3141 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3140(a,1),108(a,1,2))]. given #2975 (H,wt=24): 3142 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3141(a,1),195(a,2,1)),flip(a)]. given #2976 (H,wt=17): 3143 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(286,a,3139,a(flip),b,3142,a),flip(a)]. given #2977 (H,wt=25): 2969 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1265(a,1),2906(a,1,1)),flip(a)]. given #2978 (H,wt=25): 2991 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(56,a,2799,a)]. given #2979 (H,wt=25): 3009 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3000(a,1),273(a,1,1))]. given #2980 (H,wt=25): 3103 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1391(a,1),3101(a,1,2))]. given #2981 (H,wt=21): 3146 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(73(a,1),3103(a,2,1,1,2))]. given #2982 (H,wt=21): 3147 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2659,a,3146,a)]. given #2983 (H,wt=21): 3148 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(9(a,1),3147(a,1,2)),flip(a)]. given #2984 (H,wt=21): 3149 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(131,a,3148,a)]. given #2985 (H,wt=23): 3151 T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). [para(3037(a,1),3149(a,1,2))]. given #2986 (H,wt=23): 3152 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3151(a,2),946(a,1,2))]. given #2987 (H,wt=25): 3118 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(286,a,2734,a,b,3019,a),flip(a)]. given #2988 (H,wt=25): 3119 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [para(2566(a,1),3019(a,2,2))]. given #2989 (H,wt=25): 3120 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2379(a,1),3044(a,1,2))]. given #2990 (H,wt=26): 2953 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(746,a,2938,a),flip(a)]. given #2991 (H,wt=26): 3010 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3000(a,1),2697(a,1,1,1,1))]. given #2992 (H,wt=26): 3032 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2998(a,1),423(a,1,1))]. given #2993 (H,wt=19): 3157 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2326(a,1),3032(a,1,2))]. given #2994 (H,wt=26): 3122 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3114(a,2),42(a,1))]. given #2995 (H,wt=26): 3145 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(2991(a,1),119(a,1))]. given #2996 (H,wt=27): 2886 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2883(a,1),2458(a,1,1,1))]. given #2997 (H,wt=24): 3160 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1057(a,1),2886(a,2,1))]. given #2998 (H,wt=27): 2985 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1260(a,1),2984(a,1,2,2,2))]. given #2999 (H,wt=13): 3163 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2935(a,1),2985(a,1,2,2))]. given #3000 (H,wt=15): 3164 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3163(a,1),240(a,1,2))]. given #3001 (H,wt=17): 3165 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3164(a,1),2634(a,1,1))]. given #3002 (H,wt=17): 3166 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3165(a,1),2312(a,1,2)),flip(a)]. given #3003 (H,wt=17): 3167 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3166(a,1),3062(a,1,2))]. given #3004 (H,wt=25): 3168 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(115,a,3167,a(flip),b,947,a),flip(a)]. given #3005 (H,wt=25): 3169 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(950(a,1),3168(a,1,2))]. given #3006 (H,wt=27): 3035 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),3017(a,1,2))]. given #3007 (H,wt=27): 3130 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3129(a,2),2940(a,1))]. given #3008 (H,wt=27): 3134 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3131(a,1),2837(a,1,2))]. given #3009 (H,wt=23): 3170 (x \ 1) * (T(1 / x,y) * z) = (1 / x) * (T(x \ 1,y) * z). [para(76(a,1),3134(a,1,2,1,1,1)),flip(a)]. given #3010 (H,wt=21): 3172 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(33,a,3018,a,b,3170,a(flip))]. given #3011 (H,wt=23): 3171 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(116,a,3152,a(flip),b,3170,a)]. given #3012 (H,wt=23): 3174 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3172(a,1),2839(a,1,2))]. given #3013 (H,wt=26): 3173 (x \ 1) * (T(1 / x,y) * z) != (1 / x) * u | T(x \ 1,y) * z = u. [para(3170(a,2),42(a,1))]. given #3014 (H,wt=27): 3153 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3118(a,2),2601(a,1,2))]. given #3015 (H,wt=21): 3175 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3119(a,1),3153(a,1,2))]. given #3016 (H,wt=27): 3162 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3160(a,2),637(a,1))]. given #3017 (H,wt=28): 3024 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2997(a,1),173(a,1,1,2))]. given #3018 (H,wt=28): 3065 (1 / (1 / x)) * (x \ (y * x)) != (1 / (1 / x)) * z | T(y,1 / (1 / x)) = z. [para(3051(a,2),217(a,2)),flip(a)]. given #3019 (H,wt=28): 3086 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(104(a,1),3084(a,2,1,1,2))]. given #3020 (H,wt=28): 3155 (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),2953(a,2,1,1,1))]. given #3021 (H,wt=29): 3027 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(286,a,1936,a(flip),b,3026,a),flip(a)]. given #3022 (H,wt=29): 3029 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(280(a,2),3026(a,2,2))]. given #3023 (H,wt=29): 3042 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1150(a,1),3030(a,1,2)),flip(a)]. given #3024 (H,wt=29): 3063 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3045(a,1,1)),flip(a)]. given #3025 (H,wt=29): 3080 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3079(a,1),2834(a,1,1))]. given #3026 (H,wt=25): 3178 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2118(a,1),3080(a,2,2,2))]. given #3027 (H,wt=21): 3179 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(73(a,1),3178(a,2,2))]. given #3028 (H,wt=29): 3127 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(88(a,2),3126(a,1,1,2))]. given #3029 (H,wt=27): 3181 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3175(a,1),3127(a,1,1,2))]. given #3030 (H,wt=19): 3182 K(x \ 1,y / (x \ 1)) = K(x \ 1,y / (1 / x)). [hyper(62,a,3126,a(flip),b,3181,a)]. given #3031 (H,wt=19): 3183 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(11(a,1),3182(a,2,2))]. given #3032 (H,wt=19): 3184 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1216(a,1),3183(a,1,2))]. given #3033 (H,wt=17): 3185 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2675(a,1),3184(a,1,2))]. given #3034 (H,wt=19): 3186 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2754(a,1),3185(a,1,2))]. given #3035 (H,wt=29): 3150 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1767(a,2),3149(a,1,2))]. given #3036 (H,wt=27): 3187 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2903(a,1),3150(a,1,2))]. given #3037 (H,wt=29): 3154 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1391(a,1),3120(a,1,2))]. given #3038 (H,wt=25): 3189 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2590(a,1),3154(a,2,1))]. given #3039 (H,wt=29): 3156 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z \ (y * x) | (y \ 1) * (y * x) = z. [para(3010(a,2),47(a,1))]. given #3040 (H,wt=29): 3188 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(109(a,2),3187(a,1,2,1))]. given #3041 (H,wt=30): 3098 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(62,a,2217,a(flip),b,3094,a)]. given #3042 (H,wt=24): 3191 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2073(a,1),3098(a,1,2)),flip(a)]. given #3043 (H,wt=30): 3190 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3189(a,1),2624(a,1,1))]. given #3044 (H,wt=24): 3192 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(871(a,1),3190(a,2,1,2))]. given #3045 (H,wt=31): 2828 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(778(a,1),2820(a,2,1))]. given #3046 (H,wt=27): 3193 R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). [para(778(a,1),2828(a,1,2))]. given #3047 (H,wt=24): 3194 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(286,a,1746,a(flip),b,3193,a),flip(a)]. given #3048 (H,wt=31): 2901 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2839(a,1),16(a,2,1)),flip(a)]. given #3049 (H,wt=21): 3195 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2621(a,1),2901(a,1,2)),flip(a)]. given #3050 (H,wt=17): 3196 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(286,a,16,a,b,3195,a),flip(a)]. given #3051 (H,wt=17): 3197 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2645(a,1),3196(a,1,1)),flip(a)]. given #3052 (H,wt=19): 3198 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(2899(a,1),3196(a,1,1))]. given #3053 (H,wt=31): 3025 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2997(a,1),439(a,1,2,2))]. given #3054 (H,wt=32): 2912 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2909(a,1),898(a,1,1,2))]. given #3055 (H,wt=32): 3031 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2998(a,1),20(a,2,2)),flip(a)]. given #3056 (H,wt=32): 3107 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,2277,a,b,2872,a)]. given #3057 (H,wt=28): 3200 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3106(a,1),3107(a,1,1))]. given #3058 (H,wt=26): 3201 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(62,a,224,a(flip),b,3200,a)]. given #3059 (H,wt=22): 3202 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(9(a,1),3201(a,1,1)),flip(a)]. given #3060 (H,wt=15): 3203 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(115,a,2928,a(flip),b,3202,a)]. given #3061 (H,wt=20): 3204 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(969(a,1),3202(a,1,2))]. given #3062 (H,wt=20): 3208 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2809,a,3204,a)]. given #3063 (H,wt=22): 3205 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2770(a,1),3202(a,1,2)),flip(a)]. given #3064 (H,wt=14): 3209 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(286,a,2863,a(flip),b,3205,a),flip(a)]. given #3065 (H,wt=22): 3207 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2856(a,1),3203(a,1,1)),flip(a)]. given #3066 (H,wt=19): 3212 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2979(a,1),3207(a,1,2)),flip(a)]. given #3067 (H,wt=21): 3213 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(204(a,1),3212(a,1,1,2)),flip(a)]. given #3068 (H,wt=15): 3214 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(204(a,1),3213(a,1,2,1)),flip(a)]. given #3069 (H,wt=15): 3215 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(131,a,3214,a)]. given #3070 (H,wt=24): 3206 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1646(a,1),3203(a,1,1,2)),flip(a)]. given #3071 (H,wt=20): 3216 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(9(a,1),3206(a,2,1))]. given #3072 (H,wt=13): 3218 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2499(a,1),3216(a,1,2))]. given #3073 (H,wt=31): 3211 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3209(a,1),578(a,2,1))]. given #3074 (H,wt=27): 3219 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(10(a,1),3211(a,1,2,2,2))]. given #3075 (H,wt=23): 3221 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2869(a,1),3219(a,1,2,2)),flip(a)]. given #3076 (H,wt=23): 3222 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1352(a,1),3221(a,2,2))]. given #3077 (H,wt=22): 3224 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(286,a,235,a(flip),b,3222,a),flip(a)]. given #3078 (H,wt=18): 3225 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(300,a,3224,a),flip(a)]. given #3079 (H,wt=16): 3227 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(2887,a,3225,a(flip)),flip(a)]. given #3080 (H,wt=25): 3228 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1646(a,1),3227(a,1,1,2))]. given #3081 (H,wt=21): 3229 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(9(a,1),3228(a,1,1)),flip(a)]. given #3082 (H,wt=16): 3231 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1646(a,1),3229(a,1,2)),flip(a)]. given #3083 (H,wt=19): 3232 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(3231(a,2),299(a,1))]. given #3084 (H,wt=13): 3233 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(3232,a,235,a(flip)),flip(a)]. given #3085 (H,wt=13): 3234 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1461,a,3233,a)]. given #3086 (H,wt=16): 3235 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3233(a,1),43(a,1))]. given #3087 (H,wt=20): 3237 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3234(a,1),489(a,1,2))]. given #3088 (H,wt=24): 3236 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(3234(a,1),92(a,1,1))]. given #3089 (H,wt=32): 3112 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3104(a,1),1619(a,1,1)),flip(a)]. given #3090 (H,wt=30): 3238 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(1655,a,3112,a(flip)),flip(a)]. given #3091 (H,wt=30): 3239 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(62,a,2895,a,b,3238,a)]. given #3092 (H,wt=30): 3240 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(62,a,27,a,b,3239,a)]. given #3093 (H,wt=22): 3241 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2041(a,1),3240(a,1,1)),flip(a)]. given #3094 (H,wt=22): 3242 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(115,a,936,a,b,3241,a)]. given #3095 (H,wt=18): 3244 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(62,a,1453,a(flip),b,3242,a)]. given #3096 (H,wt=23): 3246 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(286,a,3104,a,b,3244,a)]. given #3097 (H,wt=23): 3247 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1875(a,2),3246(a,1,2))]. given #3098 (H,wt=24): 3245 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3242(a,1),2501(a,1,1)),flip(a)]. given #3099 (H,wt=24): 3248 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3245(a,1),3162(a,1))]. given #3100 (H,wt=32): 3113 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3111(a,2),88(a,1,2,2))]. given #3101 (H,wt=33): 2892 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1045(a,1),2882(a,1,1,1,1))]. given #3102 (H,wt=31): 3249 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1045(a,1),2892(a,2,1))]. given #3103 (H,wt=34): 2966 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2885(a,1),622(a,1,1))]. given #3104 (H,wt=30): 3250 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3174(a,1),2966(a,1,2))]. given #3105 (H,wt=24): 3251 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3250(a,1),439(a,1))]. given #3106 (H,wt=35): 3176 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3086(a,1),477(a,1,1))]. given #3107 (H,wt=35): 3252 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2193,a,3176,a)]. given #3108 (H,wt=37): 2759 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(2758(a,1),2446(a,1,1)),flip(a)]. given #3109 (H,wt=30): 3253 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2758(a,1),2759(a,2,2,1,1))]. given #3110 (H,wt=24): 3254 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(286,a,2855,a(flip),b,3253,a),flip(a)]. given #3111 (H,wt=18): 3256 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2855(a,1),3254(a,1,1))]. given #3112 (H,wt=25): 3257 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3256(a,1),2912(a,1,1))]. given #3113 (H,wt=23): 3258 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2909(a,1),3257(a,2,1))]. given #3114 (H,wt=23): 3260 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(131,a,3258,a)]. given #3115 (H,wt=23): 3262 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2158,a,3260,a)]. given #3116 (H,wt=37): 3033 ((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(2998(a,1),430(a,1,1))]. given #3117 (H,wt=31): 3263 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2998(a,1),3033(a,1,2)),flip(a)]. given #3118 (H,wt=27): 3264 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3263(a,2),439(a,1))]. given #3119 (H,wt=38): 3057 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3014(a,1),2891(a,1,1,1,1))]. given #3120 (H,wt=34): 3265 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),3057(a,1,1,1))]. given #3121 (H,wt=37): 3267 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3265(a,1),43(a,1)),flip(a)]. given #3122 (H,wt=39): 2411 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1635(a,2),2408(a,1,1,2,2,2)),flip(a)]. given #3123 (H,wt=35): 3268 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2406(a,1),2411(a,2,1,2))]. given #3124 (H,wt=29): 3269 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1641(a,1),3268(a,2,1))]. given #3125 (H,wt=19): 3270 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(286,a,70,a(flip),b,3269,a),flip(a)]. given #3126 (H,wt=17): 3271 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2413,a,3270,a)]. given #3127 (H,wt=19): 3273 (((x * y) / x) \ y) \ 1 = 1 / (((x * y) / x) \ y). [hyper(115,a,3271,a(flip),b,2389,a)]. given #3128 (H,wt=19): 3274 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [hyper(175,a,3273,a(flip))]. given #3129 (H,wt=17): 3275 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2496(a,1),3274(a,1,1))]. given #3130 (H,wt=31): 3276 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1908(a,1),3275(a,1,1,2)),flip(a)]. given #3131 (H,wt=27): 3277 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(9(a,1),3276(a,2,1))]. given #3132 (H,wt=27): 3278 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(286,a,2494,a(flip),b,3277,a),flip(a)]. given #3133 (H,wt=21): 3280 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1908(a,1),3278(a,1,1))]. given #3134 (H,wt=23): 3281 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3280(a,1),2289(a,1,2)),flip(a)]. given #3135 (H,wt=27): 3282 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(1259(a,2),3281(a,1,1,2)),flip(a)]. given #3136 (H,wt=25): 3283 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2495(a,1),3282(a,1,2))]. given #3137 (H,wt=21): 3284 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(9(a,1),3283(a,1,2,1,2,2,1))]. given #3138 (H,wt=19): 3285 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(108(a,1),3284(a,1,2,1,2))]. given #3139 (H,wt=15): 3286 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(16(a,2),3285(a,1,2,1)),flip(a)]. given #3140 (H,wt=39): 2989 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1260(a,1),2988(a,1,2,2))]. given #3141 (H,wt=25): 3287 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2935(a,1),2989(a,1,2)),flip(a)]. given #3142 (H,wt=23): 3289 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2969(a,1),3287(a,1,2))]. given #3143 (H,wt=19): 3290 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(9(a,1),3289(a,1,2,1,2,2,1))]. given #3144 (H,wt=17): 3291 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(108(a,1),3290(a,1,2,1,2))]. given #3145 (H,wt=13): 3292 x * (K(y,x) \ 1) = x / K(y,x). [para(16(a,2),3291(a,1,2,1))]. given #3146 (H,wt=13): 3293 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(286,a,2962,a,b,3292,a),flip(a)]. given #3147 (H,wt=13): 3294 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(115,a,2962,a,b,3292,a)]. given #3148 (H,wt=13): 3295 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(115,a,3293,a(flip),b,3141,a)]. given #3149 (H,wt=15): 3298 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3293(a,1),3143(a,1,1))]. given #3150 (H,wt=15): 3301 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(131,a,3298,a)]. given #3151 (H,wt=16): 3296 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3293(a,1),42(a,1))]. given #3152 (H,wt=17): 3300 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3295(a,1),872(a,1,2,1))]. given #3153 (H,wt=20): 3299 x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. [para(3294(a,1),374(a,1,2))]. given #3154 (H,wt=18): 3304 x / K(y,x) != z * u | z \ (K(y,x) \ x) = u. [para(3292(a,1),3299(a,1))]. given #3155 (H,wt=21): 3303 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(62,a,281,a(flip),b,3300,a),flip(a)]. given #3156 (H,wt=21): 3305 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(634,a,3303,a),flip(a)]. given #3157 (H,wt=22): 3302 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3301(a,1),2619(a,1,1)),flip(a)]. given #3158 (H,wt=20): 3307 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(286,a,3305,a(flip),b,3302,a),flip(a)]. given #3159 (H,wt=24): 3306 (K(x,y) \ 1) * ((y \ z) \ z) != u | K(x,y) \ ((y \ z) \ z) = u. [para(3303(a,1),634(a,1))]. given #3160 (H,wt=25): 3288 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(286,a,2962,a,b,3287,a),flip(a)]. given #3161 (H,wt=25): 3310 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3288(a,1),3109(a,1,2)),flip(a)]. given #3162 (H,wt=13): 3311 1 / (K(x,y) \ y) = K(x,y) / y. [para(1259(a,2),3310(a,1,1)),flip(a)]. given #3163 (H,wt=13): 3312 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(175,a,3311,a)]. given #3164 (H,wt=27): 3297 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(2968(a,2),3293(a,1,2))]. given #3165 (H,wt=27): 3308 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3307(a,1),2508(a,1,2,2))]. given #3166 (H,wt=19): 3313 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(546,a,3308,a),flip(a)]. given #3167 (H,wt=11): 3314 K(x,(y \ 1) \ 1) = K(x,y). [hyper(623,a,3313,a(flip))]. given #3168 (H,wt=11): 3318 K(x,y \ 1) = K(x,1 / y). [para(76(a,1),3314(a,1,2,1))]. given #3169 (H,wt=11): 3319 K(x,1 / (1 / y)) = K(x,y). [para(181(a,1),3314(a,1,2)),flip(a)]. given #3170 (H,wt=11): 3320 K(x,T(y,1 / y)) = K(x,y). [para(1361(a,2),3314(a,1,2))]. given #3171 (H,wt=13): 3316 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(62,a,3197,a,b,3314,a)]. given #3172 (H,wt=15): 3317 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(62,a,3198,a(flip),b,3314,a),flip(a)]. given #3173 (H,wt=15): 3321 K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). [para(2122(a,1),3314(a,1,2))]. given #3174 (H,wt=15): 3322 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2394(a,2),3314(a,1,2))]. given #3175 (H,wt=15): 3331 K((x \ 1) \ y,x) = K((1 / x) \ y,x). [para(3037(a,1),3316(a,1,1))]. given #3176 (H,wt=17): 3328 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3318(a,2),2288(a,2,1))]. given #3177 (H,wt=17): 3330 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2307(a,2),3316(a,1,1))]. given #3178 (H,wt=19): 3323 K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). [para(2974(a,1),3314(a,1,2))]. given #3179 (H,wt=19): 3332 K(x \ ((x \ 1) \ y),x) = K(x \ ((1 / x) \ y),x). [para(3039(a,1),3317(a,1,1)),flip(a)]. given #3180 (H,wt=19): 3333 K(T((x \ 1) * y,x),x) = K(T((1 / x) * y,x),x). [para(2997(a,1),3330(a,1,1,1)),flip(a)]. given #3181 (H,wt=23): 3335 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(286,a,876,a,b,3332,a)]. given #3182 (H,wt=27): 3309 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3288(a,1),3083(a,1,1)),flip(a)]. given #3183 (H,wt=25): 3336 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(2857(a,1),3309(a,1,2))]. given #3184 (H,wt=13): 3337 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1259(a,2),3336(a,1,2)),flip(a)]. given #3185 (H,wt=13): 3338 1 / (x \ K(y,x)) = K(y,x) \ x. [hyper(182,a,3337,a)]. given #3186 (H,wt=32): 3334 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(286,a,3113,a,b,3323,a)]. given #3187 (H,wt=39): 3081 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(3008(a,2),2277(a,1,1))]. given #3188 (H,wt=32): 3339 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3075(a,1),3081(a,1,1))]. given #3189 (H,wt=39): 3158 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3157(a,1),1968(a,2,2,1,2)),flip(a)]. given #3190 (H,wt=33): 3340 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2855(a,1),3158(a,2,1))]. given #3191 (H,wt=40): 1228 (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(92(a,1),889(a,1,1))]. given #3192 (H,wt=37): 3341 (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(92(a,1),1228(a,1,2,1,1))]. given #3193 (H,wt=33): 3342 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1163,a,3341,a),flip(a)]. given #3194 (H,wt=31): 3343 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(889(a,1),3342(a,2,2))]. given #3195 (H,wt=26): 3344 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(435,a,3343,a),flip(a)]. given #3196 (H,wt=32): 3345 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,1245,a(flip),b,3344,a),flip(a)]. given #3197 (H,wt=29): 3346 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1824(a,1),3345(a,1,1,2)),flip(a)]. given #3198 (H,wt=27): 3347 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(286,a,2431,a(flip),b,3346,a),flip(a)]. given #3199 (H,wt=17): 3348 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(34,a,236,a(flip),b,3347,a),flip(a)]. given #3200 (H,wt=21): 3349 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(76(a,1),3348(a,1,1))]. given #3201 (H,wt=19): 3350 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(899(a,1),3349(a,1,2))]. given #3202 (H,wt=19): 3351 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(129,a,3350,a)]. given #3203 (H,wt=19): 3352 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(34,a,2530,a,b,3351,a)]. given #3204 (H,wt=21): 3354 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1598(a,1),3352(a,1,1)),flip(a)]. given #3205 (H,wt=22): 3353 x * (y * L(y \ 1,z,u)) != y | L(1 / y,z,u) \ 1 = x. [para(3351(a,1),43(a,1)),flip(a)]. given #3206 (H,wt=40): 2063 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(479(a,2),2060(a,2,1,2,1)),flip(a)]. given #3207 (H,wt=36): 3355 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(286,a,2060,a(flip),b,2063,a),flip(a)]. given #3208 (H,wt=40): 3177 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(286,a,464,a,b,3063,a)]. given #3209 (H,wt=36): 3356 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(76(a,1),3177(a,1,1,3))]. given #3210 (H,wt=36): 3357 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2576(a,2),3356(a,1,1))]. given #3211 (H,wt=41): 2448 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(1048(a,1),2444(a,2,1,2))]. given #3212 (H,wt=39): 3358 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(1354(a,1),2448(a,1,1,2,1))]. given #3213 (H,wt=32): 3359 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(1861(a,1),3358(a,1,1,2)),flip(a)]. given #3214 (H,wt=30): 3361 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3074(a,1),3359(a,2,1))]. given #3215 (H,wt=22): 3362 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(201(a,1),3361(a,2,1))]. given #3216 (H,wt=19): 3363 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(286,a,343,a(flip),b,3362,a),flip(a)]. given #3217 (H,wt=23): 3366 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3363(a,1),271(a,1,2)),flip(a)]. given #3218 (H,wt=21): 3367 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(286,a,8,a(flip),b,3366,a),flip(a)]. given #3219 (H,wt=24): 3368 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3367(a,1),227(a,1,1)),flip(b)]. given #3220 (H,wt=42): 1586 ((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),932(a,1,2))]. given #3221 (H,wt=39): 3369 (((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),1586(a,1,1,1,2,2)),flip(a)]. given #3222 (H,wt=39): 3370 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(286,a,780,a(flip),b,3369,a),flip(a)]. given #3223 (H,wt=35): 3371 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(286,a,2056,a(flip),b,3370,a),flip(a)]. given #3224 (H,wt=35): 3372 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(780(a,1),3371(a,1,1))]. given #3225 (H,wt=33): 3373 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2068(a,1),3372(a,2,1))]. given #3226 (H,wt=28): 3374 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,3373,a),flip(a)]. given #3227 (H,wt=23): 3375 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1634,a,3374,a),flip(a)]. given #3228 (H,wt=30): 3376 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),3374(a,1,2,1)),flip(a)]. given #3229 (H,wt=30): 3377 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(286,a,1389,a,b,3376,a),flip(a)]. given #3230 (H,wt=28): 3378 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1045(a,1),3377(a,1,1,2,1))]. given #3231 (H,wt=23): 3379 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3104(a,1),3378(a,1,1))]. given #3232 (H,wt=42): 1610 (((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),1609(a,1,1)),flip(a)]. given #3233 (H,wt=37): 3380 (((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),1610(a,2,2,1,1))]. given #3234 (H,wt=33): 3381 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1826(a,1),3380(a,1,1))]. given #3235 (H,wt=31): 3382 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1831(a,1),3381(a,1,1,1))]. given #3236 (H,wt=26): 3383 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(473,a,3382,a),flip(a)]. given #3237 (H,wt=29): 3384 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(3382(a,1),473(a,1))]. given #3238 (H,wt=32): 3385 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,1050,a(flip),b,3383,a),flip(a)]. given #3239 (H,wt=29): 3386 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1864(a,1),3385(a,1,1,2)),flip(a)]. given #3240 (H,wt=17): 3387 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(34,a,2450,a(flip),b,3386,a),flip(a)]. given #3241 (H,wt=17): 3388 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3368,a,3387,a)]. given #3242 (H,wt=19): 3389 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(115,a,3388,a(flip),b,2280,a)]. given #3243 (H,wt=21): 3390 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(76(a,1),3388(a,1,2))]. given #3244 (H,wt=19): 3391 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1033(a,1),3390(a,1,1))]. given #3245 (H,wt=21): 3392 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1054(a,1),3391(a,1,1)),flip(a)]. given #3246 (H,wt=42): 1613 (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(92(a,1),1146(a,1,1))]. given #3247 (H,wt=39): 3393 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(92(a,1),1613(a,1,2,1,2,1))]. given #3248 (H,wt=35): 3394 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(62,a,1147,a(flip),b,3393,a),flip(a)]. given #3249 (H,wt=33): 3395 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1146(a,1),3394(a,2,2))]. given #3250 (H,wt=28): 3396 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(435,a,3395,a),flip(a)]. given #3251 (H,wt=30): 3397 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(10(a,1),3396(a,1,2,1)),flip(a)]. given #3252 (H,wt=30): 3398 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(286,a,1389,a,b,3397,a),flip(a)]. given #3253 (H,wt=23): 3399 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1640(a,1),3398(a,1,1))]. given #3254 (H,wt=42): 1629 (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),1627(a,1,1)),flip(a)]. given #3255 (H,wt=37): 3400 (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),1629(a,2,2,1,1))]. given #3256 (H,wt=33): 3401 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(892(a,1),3400(a,1,2))]. given #3257 (H,wt=31): 3402 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(800(a,1),3401(a,1,2,2))]. given #3258 (H,wt=26): 3403 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(439,a,3402,a),flip(a)]. given #3259 (H,wt=29): 3404 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(3402(a,1),439(a,1))]. given #3260 (H,wt=34): 3405 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(1602(a,1),3403(a,1,2))]. given #3261 (H,wt=32): 3406 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),3405(a,1,2,2)),flip(a)]. given #3262 (H,wt=27): 3407 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2456(a,1),3406(a,1,1)),flip(a)]. given #3263 (H,wt=27): 3408 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(286,a,3399,a(flip),b,3407,a),flip(a)]. given #3264 (H,wt=17): 3409 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(33,a,1389,a(flip),b,3408,a),flip(a)]. given #3265 (H,wt=17): 3410 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(62,a,3354,a,b,3409,a)]. given #3266 (H,wt=17): 3411 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(182,a,3410,a),flip(a)]. given #3267 (H,wt=17): 3412 L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). [para(73(a,1),3410(a,1,1,1,2))]. given #3268 (H,wt=17): 3413 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [para(176(a,1),3410(a,1,1,1)),flip(a)]. given #3269 (H,wt=17): 3414 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(73(a,1),3411(a,1,1,2)),flip(a)]. given #3270 (H,wt=17): 3416 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(175,a,3412,a(flip))]. given #3271 (H,wt=17): 3417 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [hyper(175,a,3413,a),flip(a)]. given #3272 (H,wt=20): 3419 L((x \ 1) \ 1,y,z) != u \ 1 | L(x,y,z) \ 1 = u. [para(3417(a,2),47(a,1))]. given #3273 (H,wt=22): 3415 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(268(a,1),3411(a,2,2,2))]. given #3274 (H,wt=23): 3418 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3414(a,1),3411(a,1,1)),flip(a)]. given #3275 (H,wt=23): 3421 K(x,L(L(y \ 1,z,u),w,v5)) = K(x,L(L(1 / y,z,u),w,v5)). [para(3418(a,1),3319(a,1,2)),flip(a)]. given #3276 (H,wt=27): 3420 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3415(a,1),92(a,1,2))]. given #3277 (H,wt=27): 3422 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(9(a,1),3420(a,2,2,2,2,2,2))]. given #3278 (H,wt=42): 2412 (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(173(a,1),2410(a,1,1)),flip(a)]. given #3279 (H,wt=35): 3423 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(173(a,1),2412(a,1,2,2,2,2))]. given #3280 (H,wt=31): 3424 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(62,a,3422,a(flip),b,3423,a),flip(a)]. given #3281 (H,wt=31): 3426 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3420(a,1),3424(a,2,2))]. given #3282 (H,wt=29): 3427 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(65(a,1),3426(a,2,2,2,2,2,2,2))]. given #3283 (H,wt=25): 3429 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(73(a,1),3427(a,2,2,2,2,2))]. given #3284 (H,wt=25): 3430 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1389(a,2),3429(a,2,2,2))]. given #3285 (H,wt=28): 3431 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3430(a,1),42(a,1)),flip(a)]. given #3286 (H,wt=42): 2889 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(2875(a,2),579(a,1,2,2))]. given #3287 (H,wt=34): 3432 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(2875(a,2),2889(a,2,2,2))]. given #3288 (H,wt=44): 1098 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(1046(a,1),1094(a,2,2))]. given #3289 (H,wt=42): 3433 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(2521(a,1),1098(a,1,1,2))]. given #3290 (H,wt=32): 3434 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),3433(a,1,1,2))]. given #3291 (H,wt=24): 3436 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1046(a,1),3434(a,1,1)),flip(a)]. given #3292 (H,wt=24): 3438 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3436(a,1),3249(a,1,1))]. given #3293 (H,wt=26): 3439 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(115,a,3438,a(flip),b,3218,a)]. given #3294 (H,wt=19): 3440 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2536,a,3439,a),flip(a)]. given #3295 (H,wt=19): 3441 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(38,a,2402,a,b,3440,a)]. given #3296 (H,wt=19): 3442 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3248,a,3441,a)]. given #3297 (H,wt=22): 3443 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3194,a,b,3442,a)]. given #3298 (H,wt=22): 3445 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(131,a,3443,a)]. given #3299 (H,wt=23): 3444 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3442(a,1),2447(a,1,1))]. given #3300 (H,wt=27): 3446 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(2932(a,1),3444(a,1,1)),flip(a)]. given #3301 (H,wt=44): 1580 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(171(a,1),1577(a,1,1,2,1,2))]. given #3302 (H,wt=40): 3447 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1626(a,1),1580(a,1,1))]. given #3303 (H,wt=38): 3448 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1659(a,1),3447(a,1,1,1))]. given #3304 (H,wt=31): 3449 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(171(a,1),3448(a,1,2))]. given #3305 (H,wt=26): 3450 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(473,a,3449,a),flip(a)]. given #3306 (H,wt=27): 3452 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(689(a,1),3450(a,2,1,2))]. given #3307 (H,wt=26): 3454 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1128(a,1),3452(a,1,2))]. given #3308 (H,wt=24): 3455 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(251(a,1),3454(a,2,1,2))]. given #3309 (H,wt=24): 3456 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1389(a,2),3455(a,2,1))]. given #3310 (H,wt=34): 3453 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(1060(a,1),3450(a,1,2))]. given #3311 (H,wt=32): 3457 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),3453(a,1,2,2)),flip(a)]. given #3312 (H,wt=28): 3458 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3247(a,1),3457(a,1,1)),flip(a)]. given #3313 (H,wt=27): 3459 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3244(a,1),3458(a,2,1))]. given #3314 (H,wt=27): 3460 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(286,a,3379,a(flip),b,3459,a),flip(a)]. given #3315 (H,wt=17): 3461 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(33,a,1389,a(flip),b,3460,a),flip(a)]. given #3316 (H,wt=17): 3462 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(62,a,3392,a,b,3461,a)]. given #3317 (H,wt=17): 3463 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(182,a,3462,a),flip(a)]. given #3318 (H,wt=17): 3464 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(176(a,1),3462(a,1,1,1)),flip(a)]. given #3319 (H,wt=17): 3466 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [hyper(175,a,3464,a),flip(a)]. given #3320 (H,wt=22): 3465 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(62,a,3445,a,b,3463,a)]. given #3321 (H,wt=20): 3468 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(33,a,1420,a,b,3465,a)]. given #3322 (H,wt=20): 3469 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(387,a,3468,a)]. given #3323 (H,wt=23): 3471 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3469(a,1),329(a,1))]. given #3324 (H,wt=24): 3470 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(62,a,3446,a(flip),b,3468,a)]. given #3325 (H,wt=20): 3472 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(286,a,2932,a(flip),b,3470,a),flip(a)]. given #3326 (H,wt=25): 3473 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3472(a,1),104(a,1,1)),flip(a)]. given #3327 (H,wt=13): 3475 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(435,a,3473,a)]. given #3328 (H,wt=28): 3474 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3472(a,1),472(a,1,1))]. given #3329 (H,wt=30): 3467 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3466(a,2),2187(a,1,1))]. given #3330 (H,wt=27): 3476 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(266,a,3467,a),flip(a)]. given #3331 (H,wt=27): 3477 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2131(a,1),3476(a,2,1))]. given #3332 (H,wt=31): 3478 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(62,a,3252,a(flip),b,3477,a)]. given #3333 (H,wt=25): 3479 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2835(a,1),3478(a,2,1))]. given #3334 (H,wt=22): 3480 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3469(a,1),3479(a,1,1))]. given #3335 (H,wt=25): 3481 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3480(a,1),43(a,1))]. given #3336 (H,wt=26): 3482 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(2932(a,1),3480(a,1,1))]. given #3337 (H,wt=22): 3483 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1439(a,1),3482(a,2,1,2))]. given #3338 (H,wt=18): 3484 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3474,a,3483,a)]. given #3339 (H,wt=14): 3485 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(34,a,2140,a,b,3484,a),flip(a)]. given #3340 (H,wt=10): 3488 L(x,y,K(z,z \ 1)) = x. [para(3485(a,1),3475(a,1,3))]. given #3341 (H,wt=10): 3494 L(x,y,K(z,1 / z)) = x. [para(1386(a,1),3488(a,1,3))]. given #3342 (H,wt=10): 3495 L(x,y,K(z \ 1,z)) = x. [para(1391(a,1),3488(a,1,3))]. given #3343 (H,wt=13): 3498 L(x,y,z \ 1) = L(x,y,1 / z). [hyper(3264,a,3495,a)]. given #3344 (H,wt=13): 3503 L(x,y,K(z \ 1,z)) != u | x = u. [para(3495(a,1),49(a,2))]. given #3345 (H,wt=13): 3508 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(73(a,1),3498(a,2,3))]. given #3346 (H,wt=15): 3501 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(62,a,2235,a(flip),b,3495,a),flip(a)]. given #3347 (H,wt=16): 3507 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3495(a,1),3264(a,1))]. given #3348 (H,wt=17): 3511 L(x,T(y \ 1,z),y) = L(x,T(1 / y,z),y). [hyper(3251,a,3508,a),flip(a)]. given #3349 (H,wt=17): 3513 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(62,a,2623,a,b,3501,a)]. given #3350 (H,wt=18): 3509 a(x,y \ 1,y) != z | x \ R(x,y \ 1,y) = z. [para(2235(a,1),3503(a,1))]. given #3351 (H,wt=19): 3489 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3485(a,1),3483(a,1,1)),flip(a)]. given #3352 (H,wt=19): 3490 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1145,a,3488,a),flip(a)]. given #3353 (H,wt=14): 3522 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(471,a,3490,a)]. given #3354 (H,wt=19): 3491 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(62,a,2657,a(flip),b,3488,a)]. given #3355 (H,wt=19): 3492 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(62,a,94,a(flip),b,3488,a)]. given #3356 (H,wt=19): 3493 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3488(a,1),495(a,1,2))]. given #3357 (H,wt=17): 3530 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1402(a,1),3493(a,1,1)),flip(a)]. given #3358 (H,wt=17): 3532 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2145,a,3530,a)]. given #3359 (H,wt=19): 3497 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(1145,a,3494,a),flip(a)]. given #3360 (H,wt=19): 3499 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1145,a,3495,a),flip(a)]. given #3361 (H,wt=19): 3500 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(62,a,2666,a(flip),b,3495,a),flip(a)]. given #3362 (H,wt=19): 3502 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(62,a,94,a(flip),b,3495,a)]. given #3363 (H,wt=19): 3504 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3495(a,1),495(a,1,2))]. given #3364 (H,wt=19): 3505 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3495(a,1),2168(a,1,2))]. given #3365 (H,wt=14): 3540 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3481,a,3505,a)]. given #3366 (H,wt=17): 3548 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3471,a,3540,a)]. given #3367 (H,wt=18): 3546 K(x \ 1,x) * (y * K(x,x \ 1)) != z | y = z. [para(3505(a,1),2676(a,1))]. given #3368 (H,wt=19): 3520 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2649(a,1),3489(a,1,1)),flip(a)]. given #3369 (H,wt=17): 3553 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(372,a,3520,a),flip(a)]. given #3370 (H,wt=19): 3528 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2644(a,1),3492(a,1,1)),flip(a)]. given #3371 (H,wt=19): 3537 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2650(a,1),3502(a,1,2))]. given #3372 (H,wt=20): 3552 K(x \ 1,x) * (y * x) != z | y * (1 / (1 / x)) = z. [para(2581(a,1),3546(a,1,2))]. given #3373 (H,wt=21): 3524 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2997(a,1),3490(a,1,1)),flip(a)]. given #3374 (H,wt=18): 3554 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(116,a,2668,a(flip),b,3524,a(flip))]. given #3375 (H,wt=21): 3525 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,3456,a,b,3522,a)]. given #3376 (H,wt=21): 3529 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2913(a,1),3492(a,1,1))]. given #3377 (H,wt=21): 3538 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2998(a,1),3502(a,1,1))]. given #3378 (H,wt=21): 3539 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3504(a,1),110(a,1,1))]. given #3379 (H,wt=21): 3549 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3540(a,1),1049(a,1,2))]. given #3380 (H,wt=15): 3559 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(34,a,2995,a,b,3549,a)]. given #3381 (H,wt=13): 3562 x \ R(x,y,z) = R(x,y,z) / x. [hyper(62,a,1055,a(flip),b,3559,a),flip(a)]. given #3382 (H,wt=10): 3564 T(x,x \ R(x,y,z)) = x. [hyper(322,a,3562,a)]. given #3383 (H,wt=13): 3563 (x \ R(x,y,z)) * x = R(x,y,z). [para(3559(a,1),1058(a,1,1))]. given #3384 (H,wt=15): 3566 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(717(a,1),3563(a,1,1))]. given #3385 (H,wt=15): 3567 a(x,y,y \ 1) \ R(x,y,y \ 1) = x. [hyper(121,a,3566,a)]. given #3386 (H,wt=19): 3561 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(570,a,3559,a),flip(a)]. given #3387 (H,wt=22): 3568 x * R(x \ 1,y,y \ 1) != z | a(x \ 1,y,y \ 1) = z. [para(3561(a,1),720(a,1))]. given #3388 (H,wt=23): 3510 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2509(a,2),3503(a,1))]. given #3389 (H,wt=23): 3565 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3562(a,2),486(a,1,1))]. given #3390 (H,wt=24): 3556 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3525(a,1),42(a,1))]. given #3391 (H,wt=26): 3516 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(286,a,94,a(flip),b,3511,a),flip(a)]. given #3392 (H,wt=26): 3519 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(116,a,3489,a(flip),b,104,a)]. given #3393 (H,wt=17): 3571 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(62,a,2211,a(flip),b,3519,a),flip(a)]. given #3394 (H,wt=21): 3572 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1391(a,1),3571(a,1,2)),flip(a)]. given #3395 (H,wt=17): 3573 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1391(a,1),3572(a,1,3)),flip(a)]. given #3396 (H,wt=26): 3531 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3493(a,1),2660(a,1,1))]. given #3397 (H,wt=26): 3534 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3499(a,1),20(a,2,1,1)),flip(a)]. given #3398 (H,wt=26): 3574 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3499(a,1),3534(a,1,1))]. given #3399 (H,wt=26): 3575 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(62,a,3504,a(flip),b,3574,a)]. given #3400 (H,wt=21): 3576 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),3575(a,1,2)),flip(a)]. given #3401 (H,wt=21): 3578 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2658,a,3576,a(flip))]. given #3402 (H,wt=19): 3579 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1416(a,1),3578(a,1,2,1))]. given #3403 (H,wt=27): 3557 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3538(a,1),3340(a,1,2,1)),flip(a)]. given #3404 (H,wt=27): 3577 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(286,a,2712,a(flip),b,3576,a),flip(a)]. given #3405 (H,wt=17): 3581 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2614(a,1),3577(a,1,1)),flip(a)]. given #3406 (H,wt=17): 3582 x \ R(x * y,z,u) = R(y * x,z,u) / x. [hyper(127,a,3581,a),flip(a)]. given #3407 (H,wt=17): 3583 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),3581(a,1,1,2,1)),flip(a)]. given #3408 (H,wt=13): 3585 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(184,a,3583,a),flip(a)]. given #3409 (H,wt=13): 3589 R(x,y,z) \ x = x / R(x,y,z). [hyper(127,a,3585,a),flip(a)]. given #3410 (H,wt=15): 3590 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(286,a,1838,a,b,3589,a)]. given #3411 (H,wt=17): 3584 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(12(a,1),3582(a,2,1,1))]. given #3412 (H,wt=17): 3591 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(131,a,3584,a),flip(a)]. given #3413 (H,wt=22): 3586 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(560(a,1),3583(a,2,1,2))]. given #3414 (H,wt=22): 3588 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2577(a,1),3583(a,2,1,2))]. given #3415 (H,wt=17): 3594 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(62,a,3192,a(flip),b,3588,a),flip(a)]. given #3416 (H,wt=13): 3597 (x * (y \ T(y,x))) * y = y * x. [para(9(a,1),3594(a,1,1)),flip(a)]. given #3417 (H,wt=13): 3598 x * (y \ T(y,x)) = (y * x) / y. [hyper(127,a,3597,a),flip(a)]. given #3418 (H,wt=13): 3600 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(34,a,108,a(flip),b,3597,a),flip(a)]. given #3419 (H,wt=13): 3601 x \ ((y * x) / y) = y \ T(y,x). [hyper(121,a,3598,a)]. given #3420 (H,wt=12): 3612 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(37,a,2856,a,b,3601,a(flip))]. given #3421 (H,wt=13): 3602 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(115,a,204,a(flip),b,3598,a)]. given #3422 (H,wt=13): 3604 (x \ T(x,y)) * y = (x * y) / x. [hyper(62,a,2807,a,b,3598,a)]. given #3423 (H,wt=13): 3606 ((x * y) / x) / y = x \ T(x,y). [hyper(33,a,2827,a,b,3598,a)]. given #3424 (H,wt=13): 3609 ((x * y) / x) \ y = T(x,y) \ x. [para(3598(a,1),3124(a,1,1))]. given #3425 (H,wt=13): 3610 (T(x,y) \ x) * ((x * y) / x) = y. [para(3598(a,1),3215(a,1,2))]. given #3426 (H,wt=13): 3611 T(x,T(y,x)) \ x = y \ T(y,x). [para(3600(a,1),3124(a,1,1)),flip(a)]. given #3427 (H,wt=13): 3614 x * (T(y,x) \ y) = T(x,T(y,x)). [hyper(62,a,2925,a(flip),b,3612,a)]. given #3428 (H,wt=13): 3626 T(x,T(y,x)) * (y \ T(y,x)) = x. [hyper(131,a,3611,a)]. given #3429 (H,wt=10): 3631 L(x,y \ T(y,x),y) = x. [hyper(62,a,3208,a(flip),b,3626,a)]. given #3430 (H,wt=13): 3628 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3611(a,1),2777(a,1,1))]. given #3431 (H,wt=14): 3616 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3088(a,1),3612(a,1,2))]. given #3432 (H,wt=13): 3637 T(x,x / (y * x)) = T(x,y \ 1). [hyper(62,a,3087,a(flip),b,3616,a)]. given #3433 (H,wt=13): 3638 T(x,x / (x * y)) = T(x,y \ 1). [hyper(62,a,2895,a(flip),b,3637,a)]. given #3434 (H,wt=15): 3599 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(116,a,10,a(flip),b,3597,a),flip(a)]. given #3435 (H,wt=15): 3607 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3598(a,1),2286(a,1,1))]. given #3436 (H,wt=15): 3622 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(10(a,1),3609(a,1,1,1)),flip(a)]. given #3437 (H,wt=15): 3629 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3611(a,2),3597(a,1,1,2))]. given #3438 (H,wt=13): 3648 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(216,a,3629,a,b,xx)]. given #3439 (H,wt=15): 3634 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(115,a,3631,a(flip),b,2826,a),flip(a)]. given #3440 (H,wt=13): 3650 T(x,y) \ ((x * y) / x) = x \ y. [para(3598(a,1),3634(a,1,2))]. given #3441 (H,wt=11): 3651 T(x / y,T(y,x)) = y \ x. [hyper(1198,a,3650,a)]. given #3442 (H,wt=13): 3652 T(x,y) * (x \ y) = (x * y) / x. [hyper(131,a,3650,a)]. given #3443 (H,wt=11): 3658 T(x,x / (x / y)) = T(x,y). [hyper(34,a,1320,a,b,3652,a)]. given #3444 (H,wt=11): 3667 T(x,y \ x) = T(x,x / y). [para(73(a,1),3658(a,1,2,2)),flip(a)]. given #3445 (H,wt=11): 3668 T(x,(y \ x) \ x) = T(x,y). [para(176(a,1),3658(a,1,2)),flip(a)]. given #3446 (H,wt=13): 3653 T(x,T(y,x * y)) = y \ (x * y). [para(11(a,1),3651(a,1,1))]. given #3447 (H,wt=11): 3673 T(x,T(y,x * y)) = T(x,y). [hyper(286,a,22,a,b,3653,a),flip(a)]. given #3448 (H,wt=13): 3654 T(x,T(x \ y,y)) = (x \ y) \ y. [para(73(a,1),3651(a,1,1))]. given #3449 (H,wt=13): 3656 T(x \ y,T(x,y)) = T(x \ y,x). [para(3651(a,1),223(a,1,1)),flip(a)]. given #3450 (H,wt=13): 3662 T(x,y) * y = x * ((x * y) / x). [para(3652(a,1),946(a,1,2)),flip(a)]. given #3451 (H,wt=13): 3664 T(x,x / (1 / y)) = T(x,x * y). [hyper(62,a,1793,a(flip),b,3658,a)]. given #3452 (H,wt=13): 3665 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(62,a,1012,a(flip),b,3658,a)]. given #3453 (H,wt=13): 3666 (x / y) \ T(x,y) = (x * y) / x. [hyper(115,a,3658,a(flip),b,999,a)]. given #3454 (H,wt=13): 3669 T(x,T(y,x)) * T(y,x) = x * y. [para(3658(a,1),1190(a,1,1))]. given #3455 (H,wt=13): 3671 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1303,a,3667,a(flip)),flip(a)]. given #3456 (H,wt=13): 3672 T(T(x,y \ x) / y,x) = x / y. [para(3667(a,2),1006(a,1,1,1))]. given #3457 (H,wt=15): 3639 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(115,a,3637,a(flip),b,1025,a)]. given #3458 (H,wt=15): 3640 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2064,a,3638,a)]. given #3459 (H,wt=15): 3643 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(116,a,3638,a(flip),b,2059,a)]. given #3460 (H,wt=15): 3645 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(109(a,1),3599(a,1,2,2))]. given #3461 (H,wt=15): 3659 (x * (x * y)) / x = T(x,x * y) * y. [para(9(a,1),3652(a,1,2)),flip(a)]. given #3462 (H,wt=13): 3689 T(T(x,x * y) * y,x) = x * y. [para(3659(a,1),203(a,1,1))]. given #3463 (H,wt=15): 3670 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3658(a,1),1209(a,1,1))]. given #3464 (H,wt=15): 3677 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),3662(a,2,2,1))]. given #3465 (H,wt=15): 3681 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(115,a,3639,a,b,xx)]. given #3466 (H,wt=15): 3687 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(121,a,3645,a)]. given #3467 (H,wt=15): 3693 T(x,x \ y) * y = x * (x * (y / x)). [para(3677(a,1),946(a,1,2)),flip(a)]. given #3468 (H,wt=16): 3613 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3601(a,1),446(a,1,1))]. given #3469 (H,wt=16): 3627 x \ T(x,y) != z \ y | T(y,T(x,y)) = z. [para(3611(a,1),47(a,1))]. given #3470 (H,wt=16): 3632 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(3626(a,1),301(a,1,2)),flip(b)]. given #3471 (H,wt=16): 3647 x \ T(x,y) != z | y \ ((x * y) / x) = z. [para(3607(a,1),1300(a,1))]. given #3472 (H,wt=16): 3663 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3652(a,1),2812(a,1,1,1))]. given #3473 (H,wt=14): 3700 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3606(a,1),3663(a,1,1))]. given #3474 (H,wt=13): 3701 K(T(x,y),y) = K(x,(x * y) / x). [hyper(62,a,3613,a(flip),b,3700,a),flip(a)]. given #3475 (H,wt=13): 3702 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(204(a,1),3701(a,2,2))]. given #3476 (H,wt=16): 3679 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3664(a,1),1791(a,1,1))]. given #3477 (H,wt=14): 3703 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(286,a,3665,a(flip),b,3679,a),flip(a)]. given #3478 (H,wt=16): 3699 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(204(a,1),3613(a,2,2)),flip(a)]. given #3479 (H,wt=17): 3603 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(115,a,146,a(flip),b,3598,a),flip(a)]. given #3480 (H,wt=15): 3705 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(110(a,1),3603(a,1,2))]. given #3481 (H,wt=15): 3706 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(62,a,3622,a,b,3705,a)]. given #3482 (H,wt=17): 3605 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(33,a,2831,a,b,3598,a)]. given #3483 (H,wt=15): 3707 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1634,a,3605,a)]. given #3484 (H,wt=15): 3714 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(131,a,3707,a(flip))]. given #3485 (H,wt=17): 3625 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(286,a,1086,a,b,3611,a)]. given #3486 (H,wt=17): 3635 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2857(a,1),3628(a,1,1))]. given #3487 (H,wt=17): 3644 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3638(a,1),2061(a,2,2))]. given #3488 (H,wt=17): 3655 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(203(a,1),3651(a,1,2))]. given #3489 (H,wt=17): 3674 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3656(a,1),108(a,1,2))]. given #3490 (H,wt=17): 3678 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(12(a,1),3662(a,2,2,1))]. given #3491 (H,wt=15): 3718 (x / y) * (x / (x / y)) = (y \ x) * y. [para(110(a,1),3678(a,1,1)),flip(a)]. given #3492 (H,wt=17): 3680 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(11(a,1),3666(a,1,1)),flip(a)]. given #3493 (H,wt=13): 3719 T(x \ T(x * y,y),x * y) = y. [para(3680(a,1),203(a,1,1))]. given #3494 (H,wt=16): 3720 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3680(a,1),728(a,1,1))]. given #3495 (H,wt=17): 3682 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(76(a,1),3639(a,2,2,1))]. given #3496 (H,wt=17): 3684 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(73(a,1),3643(a,2,2,1))]. given #3497 (H,wt=17): 3685 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(76(a,1),3643(a,1,1,2))]. given #3498 (H,wt=17): 3704 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3703(a,1),935(a,1,2)),flip(a)]. given #3499 (H,wt=17): 3724 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(115,a,3685,a,b,xx)]. given #3500 (H,wt=17): 3725 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(34,a,401,a,b,3704,a)]. given #3501 (H,wt=18): 3617 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3612(a,1),3130(a,1))]. given #3502 (H,wt=18): 3630 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(62,a,3297,a(flip),b,3614,a),flip(a)]. given #3503 (H,wt=18): 3683 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(363(a,2),3639(a,2,2)),flip(a)]. given #3504 (H,wt=18): 3688 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3645(a,1),301(a,1,2)),flip(b)]. given #3505 (H,wt=18): 3690 T(x,T(y,x)) * (y * x) != x * z | x * y = z. [para(3670(a,2),42(a,1))]. given #3506 (H,wt=18): 3692 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(3677(a,2),42(a,1))]. given #3507 (H,wt=18): 3694 x * ((y \ x) / x) != z | y \ T(x,y \ 1) = z. [para(3681(a,1),232(a,1,2)),flip(b)]. given #3508 (H,wt=18): 3697 T(x,x \ y) * z != x * (x * (y / x)) | y = z. [para(3693(a,1),42(a,1)),flip(a)]. given #3509 (H,wt=18): 3698 T(x,x \ y) * y != x * z | x * (y / x) = z. [para(3693(a,2),42(a,1))]. given #3510 (H,wt=18): 3709 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3605(a,1),1634(a,1))]. given #3511 (H,wt=19): 3608 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2857(a,1),3598(a,1,2)),flip(a)]. given #3512 (H,wt=19): 3636 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(62,a,3191,a(flip),b,3616,a)]. given #3513 (H,wt=19): 3657 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3651(a,1),1751(a,1,1)),flip(a)]. given #3514 (H,wt=19): 3708 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(62,a,1950,a,b,3605,a)]. given #3515 (H,wt=19): 3710 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3605(a,1),2072(a,1,1))]. given #3516 (H,wt=19): 3715 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(240(a,1),3714(a,1,2,2,1)),flip(a)]. given #3517 (H,wt=19): 3723 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1159,a,3682,a)]. given #3518 (H,wt=19): 3729 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(33,a,823,a,b,3636,a)]. given #3519 (H,wt=19): 3730 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(286,a,3707,a(flip),b,3710,a),flip(a)]. given #3520 (H,wt=19): 3734 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(62,a,2917,a(flip),b,3729,a),flip(a)]. given #3521 (H,wt=18): 3736 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(193(a,2),3734(a,1,2))]. given #3522 (H,wt=20): 3618 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3602(a,2),2859(a,1,1))]. given #3523 (H,wt=20): 3619 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3604(a,1),171(a,1,2,1))]. given #3524 (H,wt=20): 3649 x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. [para(3629(a,1),217(a,2))]. given #3525 (H,wt=20): 3675 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(3656(a,1),262(a,1,2))]. given #3526 (H,wt=20): 3676 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3656(a,2),683(a,1,2,2))]. given #3527 (H,wt=13): 3739 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3676,a,3657,a),flip(a)]. given #3528 (H,wt=15): 3740 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(62,a,631,a(flip),b,3739,a),flip(a)]. given #3529 (H,wt=11): 3741 K(x,T(y,y * x)) = K(x,y). [hyper(62,a,631,a(flip),b,3740,a),flip(a)]. given #3530 (H,wt=15): 3743 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1736(a,1),3741(a,1,2))]. given #3531 (H,wt=19): 3744 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(3671(a,1),3743(a,1,2))]. given #3532 (H,wt=15): 3745 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(62,a,2932,a(flip),b,3744,a),flip(a)]. given #3533 (H,wt=11): 3746 K(x,T(y,x * y)) = K(x,y). [hyper(62,a,2932,a(flip),b,3745,a),flip(a)]. given #3534 (H,wt=13): 3747 K(x,T(x \ y,y)) = K(x,x \ y). [para(10(a,1),3746(a,1,2,2))]. given #3535 (H,wt=20): 3721 ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. [para(3719(a,1),257(a,1,1,2)),flip(b)]. given #3536 (H,wt=21): 3691 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(115,a,3639,a,b,3677,a)]. given #3537 (H,wt=21): 3713 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3605(a,1),3375(a,1,1))]. given #3538 (H,wt=21): 3732 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [hyper(115,a,3723,a(flip),b,271,a),flip(a)]. given #3539 (H,wt=21): 3748 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(286,a,3707,a(flip),b,3713,a),flip(a)]. given #3540 (H,wt=22): 3695 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(3681(a,1),298(a,1,2))]. given #3541 (H,wt=22): 3696 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(3681(a,1),374(a,1,2))]. given #3542 (H,wt=22): 3722 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3720(a,1),87(a,1,1))]. given #3543 (H,wt=22): 3731 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3715(a,2),42(a,1))]. given #3544 (H,wt=23): 3593 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(116,a,3586,a(flip),b,458,a)]. given #3545 (H,wt=23): 3595 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(116,a,3588,a(flip),b,2578,a),flip(a)]. given #3546 (H,wt=21): 3749 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(62,a,1500,a(flip),b,3595,a)]. given #3547 (H,wt=23): 3660 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(86(a,1),3652(a,1,2))]. given #3548 (H,wt=23): 3711 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3605(a,1),2218(a,2,2,1))]. given #3549 (H,wt=23): 3751 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3707(a,1),3711(a,1,1))]. given #3550 (H,wt=24): 3686 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3643(a,2),195(a,2,1))]. given #3551 (H,wt=24): 3727 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(76(a,1),3683(a,2,2,2))]. given #3552 (H,wt=24): 3752 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3110(a,2),3727(a,1,2))]. given #3553 (H,wt=23): 3753 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3752(a,1),3334(a,1,2)),flip(a)]. given #3554 (H,wt=19): 3754 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(286,a,3335,a(flip),b,3753,a)]. given #3555 (H,wt=25): 3726 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3680(a,1),3725(a,1,1))]. given #3556 (H,wt=25): 3728 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1496(a,1),3608(a,2,2))]. given #3557 (H,wt=25): 3737 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(116,a,3736,a(flip),b,766,a),flip(a)]. given #3558 (H,wt=21): 3756 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(62,a,3607,a(flip),b,3737,a)]. given #3559 (H,wt=18): 3757 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(62,a,1765,a(flip),b,3756,a)]. given #3560 (H,wt=22): 3758 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(9(a,1),3757(a,1,1,1)),flip(a)]. given #3561 (H,wt=18): 3759 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(9(a,1),3758(a,1,1,1)),flip(a)]. given #3562 (H,wt=25): 3755 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(62,a,3001,a(flip),b,3728,a)]. given #3563 (H,wt=26): 3621 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3606(a,1),562(a,1,1,1))]. given #3564 (H,wt=26): 3624 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3267,a,3610,a)]. given #3565 (H,wt=26): 3733 (((x / y) \ 1) \ y) * ((x / y) \ 1) != z * u | z \ (x * (y / x)) = u. [para(3723(a,2),513(a,1))]. given #3566 (H,wt=26): 3750 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3660(a,1),43(a,1))]. given #3567 (H,wt=27): 3580 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(2947(a,2),3557(a,2,2))]. given #3568 (H,wt=25): 3761 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(286,a,271,a(flip),b,3580,a)]. given #3569 (H,wt=27): 3661 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3652(a,1),439(a,1,1))]. given #3570 (H,wt=27): 3738 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3618(a,1),809(a,1,1))]. given #3571 (H,wt=23): 3762 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(16(a,2),3738(a,2,1))]. given #3572 (H,wt=28): 3514 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(3009(a,2),3507(a,1))]. given #3573 (H,wt=22): 3763 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3514,a,3624,a)]. given #3574 (H,wt=22): 3764 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3015(a,2),3763(a,2,1))]. given #3575 (H,wt=19): 3765 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(62,a,3759,a(flip),b,3764,a),flip(a)]. given #3576 (H,wt=28): 3587 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3583(a,2),1503(a,1,1))]. given #3577 (H,wt=25): 3766 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(266,a,3587,a),flip(a)]. given #3578 (H,wt=25): 3767 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(805(a,1),3766(a,1,2))]. given #3579 (H,wt=23): 3768 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(108(a,1),3767(a,1,2,2)),flip(a)]. given #3580 (H,wt=28): 3735 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2880(a,1),3730(a,2,2,2,1))]. given #3581 (H,wt=28): 3760 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3554(a,2),3755(a,1,1))]. given #3582 (H,wt=28): 3769 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(286,a,3748,a,b,3735,a),flip(a)]. given #3583 (H,wt=24): 3771 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3067(a,1),3769(a,2,1,2))]. given #3584 (H,wt=29): 3569 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2566(a,1),3510(a,1,1,2))]. given #3585 (H,wt=29): 3596 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3588(a,1),3357(a,1,1)),flip(a)]. given #3586 (H,wt=27): 3772 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(7(a,1),3596(a,2,1,1,2))]. given #3587 (H,wt=23): 3773 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(76(a,1),3772(a,2,2))]. given #3588 (H,wt=30): 3623 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3609(a,1),1299(a,1,2,2,1))]. given #3589 (H,wt=28): 3774 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3609(a,1),3623(a,2,2))]. given #3590 (H,wt=31): 3536 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3500(a,1),3025(a,1))]. given #3591 (H,wt=31): 3558 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3042(a,1),3539(a,1,1))]. given #3592 (H,wt=31): 3646 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3607(a,1),439(a,1,1))]. given #3593 (H,wt=31): 3712 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3605(a,1),2075(a,2,2,1))]. given #3594 (H,wt=31): 3717 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3644(a,1),2617(a,2,1,2))]. given #3595 (H,wt=29): 3776 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2635(a,1),3717(a,1,1,1))]. given #3596 (H,wt=27): 3777 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3532(a,1),3776(a,1,1,1))]. given #3597 (H,wt=25): 3778 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(110(a,1),3777(a,1,1))]. given #3598 (H,wt=21): 3779 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3681(a,1),3778(a,2,1))]. given #3599 (H,wt=17): 3780 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(34,a,2672,a(flip),b,3779,a)]. given #3600 (H,wt=21): 3782 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3780(a,1),3489(a,1,1)),flip(a)]. given #3601 (H,wt=19): 3783 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [hyper(62,a,2642,a(flip),b,3782,a),flip(a)]. given #3602 (H,wt=23): 3784 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3782(a,1),3021(a,1,2))]. given #3603 (H,wt=26): 3785 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3782(a,1),3040(a,1,1))]. given #3604 (H,wt=31): 3770 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3760(a,2),42(a,1))]. given #3605 (H,wt=31): 3775 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3558(a,2),3536(a,1))]. given #3606 (H,wt=32): 3543 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3505(a,1),18(a,2,1)),flip(a)]. given #3607 (H,wt=32): 3547 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3505(a,1),3031(a,1,1))]. given #3608 (H,wt=32): 3620 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3554(a,2),3604(a,2,1)),flip(a)]. given #3609 (H,wt=30): 3788 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(865(a,1),3620(a,2,1))]. given #3610 (H,wt=28): 3789 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1496(a,1),3788(a,2,1))]. given #3611 (H,wt=28): 3790 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(286,a,3768,a(flip),b,3789,a),flip(a)]. given #3612 (H,wt=19): 3791 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3770,a,3790,a)]. given #3613 (H,wt=23): 3792 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(73(a,1),3791(a,1,1,1,2)),flip(a)]. given #3614 (H,wt=19): 3793 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(62,a,3784,a(flip),b,3792,a),flip(a)]. given #3615 (H,wt=32): 3716 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3625(a,1),3432(a,1,1))]. given #3616 (H,wt=30): 3794 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3625(a,1),3716(a,1,2,1,3))]. given #3617 (H,wt=32): 3786 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3505(a,1),3543(a,1,2))]. given #3618 (H,wt=24): 3795 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(751,a,3786,a)]. given #3619 (H,wt=15): 3796 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3503,a,3795,a),flip(a)]. given #3620 (H,wt=15): 3798 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2153(a,2),3796(a,1,3))]. given #3621 (H,wt=17): 3799 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2761(a,1),3798(a,1,3)),flip(a)]. given #3622 (H,wt=32): 3787 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(62,a,3504,a(flip),b,3547,a)]. given #3623 (H,wt=34): 3542 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3505(a,1),14(a,2,1)),flip(a)]. given #3624 (H,wt=34): 3800 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3505(a,1),3542(a,1,2,1))]. given #3625 (H,wt=34): 3801 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3499(a,1),3800(a,1,2))]. given #3626 (H,wt=26): 3802 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(753,a,3801,a)]. given #3627 (H,wt=15): 3803 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3503,a,3802,a),flip(a)]. given #3628 (H,wt=13): 3805 a(x \ 1,y,z) = a(1 / x,y,z). [para(1071(a,1),3803(a,1,1))]. given #3629 (H,wt=35): 3544 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3505(a,1),439(a,1,2,2))]. given #3630 (H,wt=36): 3592 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3591(a,2),3355(a,1,1))]. given #3631 (H,wt=34): 3806 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3592(a,1),266(a,1))]. given #3632 (H,wt=27): 3807 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3806,a,3712,a)]. given #3633 (H,wt=23): 3808 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3640(a,1),3807(a,1,1)),flip(a)]. given #3634 (H,wt=23): 3809 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3067(a,1),3808(a,1,2,1,2)),flip(a)]. given #3635 (H,wt=19): 3810 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3067(a,1),3809(a,1,1)),flip(a)]. given #3636 (H,wt=19): 3811 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),3810(a,1,2,2)),flip(a)]. given #3637 (H,wt=15): 3812 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),3811(a,1,2)),flip(a)]. given #3638 (H,wt=10): 3813 L(x,y \ T(y,z),y) = x. [hyper(687,a,3812,a)]. given #3639 (H,wt=10): 3826 L(x,y,y \ T(y,z)) = x. [hyper(33,a,3105,a(flip),b,3813,a(flip))]. given #3640 (H,wt=12): 3829 L(x,T(y,T(z,y)) \ y,z) = x. [para(3611(a,2),3813(a,1,2))]. given #3641 (H,wt=12): 3832 L(x,y,T(z,T(y,z)) \ z) = x. [para(3611(a,2),3826(a,1,3))]. given #3642 (H,wt=14): 3833 L(x,T(y,z) \ y,(y * z) / y) = x. [para(203(a,1),3829(a,1,2,1,2))]. given #3643 (H,wt=15): 3815 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(127,a,3812,a)]. given #3644 (H,wt=10): 3836 R(x,x \ T(x,y),z) = x. [hyper(699,a,3815,a)]. given #3645 (H,wt=12): 3837 R(x,x \ (K(y,x) \ x),z) = x. [para(3630(a,1),3836(a,1,2,2))]. given #3646 (H,wt=10): 3838 R(x,K(y,x) \ 1,z) = x. [para(3294(a,1),3837(a,1,2))]. given #3647 (H,wt=15): 3816 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(33,a,946,a,b,3812,a),flip(a)]. given #3648 (H,wt=15): 3817 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(33,a,3693,a(flip),b,3812,a),flip(a)]. given #3649 (H,wt=15): 3818 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(33,a,942,a(flip),b,3812,a),flip(a)]. given #3650 (H,wt=15): 3841 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(127,a,3818,a)]. given #3651 (H,wt=14): 3843 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2874,a,3841,a)]. given #3652 (H,wt=16): 3827 (x \ T(x,y)) \ 1 != z | T(x,y) \ x = z. [para(3813(a,1),536(a,1))]. given #3653 (H,wt=17): 3820 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3602(a,2),3812(a,1,2,1))]. given #3654 (H,wt=13): 3847 (T(x,y) \ x) * (x * y) = y * x. [hyper(33,a,3670,a(flip),b,3820,a),flip(a)]. given #3655 (H,wt=13): 3848 K(x,y) = T(T(y,x) \ y,y * x). [hyper(216,a,3847,a,b,85,a),flip(a)]. given #3656 (H,wt=13): 3849 (x * y) / (y * x) = T(y,x) \ y. [hyper(127,a,3847,a)]. given #3657 (H,wt=13): 3853 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(38,a,3765,a,b,3849,a(flip))]. given #3658 (H,wt=15): 3850 T(x,y / x) \ x = y / (x * (y / x)). [hyper(116,a,12,a(flip),b,3847,a),flip(a)]. given #3659 (H,wt=15): 3856 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1763(a,1),3853(a,1,2))]. given #3660 (H,wt=16): 3851 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(3847(a,1),227(a,1,1)),flip(b)]. given #3661 (H,wt=16): 3855 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(3849(a,2),47(a,1)),flip(a)]. given #3662 (H,wt=17): 3835 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(115,a,3833,a(flip),b,3774,a),flip(a)]. given #3663 (H,wt=17): 3854 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(12(a,1),3849(a,1,2)),flip(a)]. given #3664 (H,wt=15): 3860 (x \ y) \ (y / x) = (x * (y / x)) / y. [para(110(a,1),3854(a,1,1))]. given #3665 (H,wt=15): 3861 x \ ((x \ y) \ y) = (x * (y / x)) / y. [hyper(3688,a,3860,a)]. given #3666 (H,wt=17): 3857 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(131,a,3835,a)]. given #3667 (H,wt=17): 3859 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2779(a,1),3835(a,1,2))]. given #3668 (H,wt=18): 3842 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3818(a,1),301(a,1,2)),flip(b)]. given #3669 (H,wt=18): 3862 (x * (y / x)) / y != z | x \ ((x \ y) \ y) = z. [para(3860(a,1),3688(a,1))]. given #3670 (H,wt=18): 3866 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(10(a,1),3842(a,1,2))]. given #3671 (H,wt=19): 3844 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3841(a,1),3762(a,1,1)),flip(a)]. given #3672 (H,wt=10): 3867 R(K(x,y),x,z) = K(x,y). [hyper(286,a,3699,a,b,3844,a),flip(a)]. given #3673 (H,wt=15): 3869 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3867(a,1),104(a,1,1)),flip(a)]. given #3674 (H,wt=8): 3870 L(x,y,K(y,z)) = x. [hyper(435,a,3869,a)]. given #3675 (H,wt=11): 3872 L(x,y,K(y,z)) != u | u = x. [para(3870(a,1),49(a,1)),flip(a)]. given #3676 (H,wt=11): 3873 L(x,y,K(y,z)) != u | x = u. [para(3870(a,1),49(a,2))]. given #3677 (H,wt=18): 3871 (K(x,y) * x) * z != u * (x * z) | K(x,y) = u. [para(3869(a,2),43(a,1))]. given #3678 (H,wt=19): 3846 (x / y) \ T(x / y,z) = (y * T(y \ x,z)) / x. [hyper(62,a,3128,a(flip),b,3843,a),flip(a)]. given #3679 (H,wt=19): 3863 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(286,a,3708,a(flip),b,3861,a),flip(a)]. given #3680 (H,wt=13): 3879 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(618,a,3863,a)]. given #3681 (H,wt=13): 3881 T(x,(x / y) \ 1) = T(x,x \ y). [para(76(a,1),3879(a,1,2,2)),flip(a)]. given #3682 (H,wt=15): 3882 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3879(a,1),201(a,1,2))]. given #3683 (H,wt=15): 3883 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3879(a,1),240(a,1,2))]. given #3684 (H,wt=15): 3887 (x / y) \ T(x,x \ y) = x * (y / x). [para(3881(a,1),3682(a,1,2))]. given #3685 (H,wt=17): 3880 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(9(a,1),3879(a,1,2,2))]. given #3686 (H,wt=15): 3892 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(640,a,3880,a),flip(a)]. given #3687 (H,wt=15): 3893 x / T(y * x,y \ 1) = (y * x) \ x. [para(3880(a,1),240(a,1,2))]. given #3688 (H,wt=17): 3888 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(76(a,1),3882(a,1,2,2))]. given #3689 (H,wt=17): 3889 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3067(a,1),3883(a,1,2))]. given #3690 (H,wt=17): 3890 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(11(a,1),3887(a,2,2))]. given #3691 (H,wt=15): 3895 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(22(a,2),3890(a,1,2,2))]. given #3692 (H,wt=17): 3894 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(62,a,3067,a(flip),b,3892,a)]. given #3693 (H,wt=19): 3865 T(x / ((x * y) / x),y) = y \ (x * (T(x,y) \ x)). [hyper(286,a,3655,a,b,3859,a)]. given #3694 (H,wt=17): 3896 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(132,a,3865,a)]. given #3695 (H,wt=17): 3897 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [hyper(62,a,1313,a,b,3896,a)]. given #3696 (H,wt=17): 3898 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(62,a,1007,a(flip),b,3897,a)]. given #3697 (H,wt=19): 3885 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3879(a,1),3706(a,1,1)),flip(a)]. given #3698 (H,wt=19): 3886 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3879(a,1),3691(a,1,1))]. given #3699 (H,wt=20): 3852 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(3847(a,1),217(a,2))]. given #3700 (H,wt=20): 3858 x * (((y * x) / y) \ z) != u | (T(y,x) \ y) * z = u. [para(3835(a,1),232(a,1,2)),flip(b)]. given #3701 (H,wt=21): 3834 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3832(a,1),3794(a,1,2,1))]. given #3702 (H,wt=21): 3877 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1113,a,3846,a(flip)),flip(a)]. given #3703 (H,wt=19): 3901 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(62,a,3603,a(flip),b,3877,a)]. given #3704 (H,wt=15): 3903 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(62,a,3885,a(flip),b,3901,a)]. given #3705 (H,wt=15): 3904 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(286,a,1082,a,b,3903,a)]. given #3706 (H,wt=15): 3905 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(286,a,871,a(flip),b,3903,a),flip(a)]. given #3707 (H,wt=11): 3911 T(x,y) \ x = y \ T(y,x). [para(3067(a,1),3905(a,1,1))]. given #3708 (H,wt=9): 3913 T(x,T(y,x)) = T(x,y). [hyper(38,a,3611,a,b,3911,a)]. given #3709 (H,wt=11): 3919 x * (T(x,y) \ y) = T(y,x). [hyper(1014,a,3913,a)]. given #3710 (H,wt=11): 3922 T(x,y) \ (x * y) = T(y,x). [hyper(641,a,3913,a)]. given #3711 (H,wt=11): 3924 (x / T(y,x)) * y = T(x,y). [hyper(62,a,3665,a,b,3913,a)]. given #3712 (H,wt=11): 3926 T(x,y) / y = x / T(y,x). [hyper(116,a,3913,a(flip),b,3665,a)]. given #3713 (H,wt=11): 3927 T(x,y) / (T(y,x) \ x) = y. [hyper(116,a,3913,a(flip),b,969,a)]. given #3714 (H,wt=11): 3928 T(x,y) \ y = x \ T(y,x). [hyper(115,a,3913,a(flip),b,969,a),flip(a)]. given #3715 (H,wt=11): 3932 T(x,x \ y) = T(x,y / x). [para(110(a,1),3913(a,1,2))]. given #3716 (H,wt=11): 3933 T(x,(x * y) / x) = T(x,y). [para(203(a,1),3913(a,1,2)),flip(a)]. given #3717 (H,wt=11): 3942 T(x * (T(x,y) \ x),y) = x. [para(3913(a,1),3648(a,1,1,2,1))]. given #3718 (H,wt=11): 3943 T(x,y) * T(y,x) = x * y. [para(3913(a,1),3669(a,1,1))]. given #3719 (H,wt=11): 3945 K(T(x,y),T(y,x)) = K(x,y). [para(3913(a,1),3702(a,1,1))]. given #3720 (H,wt=11): 3947 (x * y) / T(y,x) = T(x,y). [para(3919(a,1),949(a,1,2))]. given #3721 (H,wt=11): 3953 (T(x,y) / y) \ x = T(y,x). [hyper(175,a,3926,a(flip))]. given #3722 (H,wt=11): 3957 T(x,y) * (x \ T(y,x)) = y. [para(3927(a,1),180(a,1,2,1))]. given #3723 (H,wt=11): 3963 T(x,y / x) = (x \ y) \ y. [hyper(640,a,3932,a),flip(a)]. given #3724 (H,wt=12): 3923 R(T(x,x * y),y,x) = T(x,y). [hyper(62,a,3703,a,b,3913,a)]. given #3725 (H,wt=11): 3988 T(x,x * (y / x)) = T(x,y). [hyper(735,a,3923,a),flip(a)]. given #3726 (H,wt=11): 3989 T(x,y * x) = T(x,x * y). [hyper(733,a,3923,a)]. given #3727 (H,wt=11): 3991 T(x,(x \ y) * x) = T(x,y). [para(72(a,1),3988(a,1,2)),flip(a)]. given #3728 (H,wt=11): 3996 T(x,T(y,y * x)) = T(x,y). [para(3989(a,1),3673(a,1,2))]. given #3729 (H,wt=13): 3915 (x * y) / x = y * (T(y,x) \ y). [para(3911(a,2),3598(a,1,2)),flip(a)]. given #3730 (H,wt=13): 3918 K(x,y) = T(x \ T(x,y),y * x). [para(3911(a,1),3848(a,2,1))]. given #3731 (H,wt=13): 3920 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(644,a,3913,a),flip(a)]. given #3732 (H,wt=13): 3921 T(x,x \ y) \ y = T(x \ y,x). [hyper(642,a,3913,a)]. given #3733 (H,wt=13): 3925 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(62,a,3856,a(flip),b,3913,a),flip(a)]. given #3734 (H,wt=13): 3929 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),3913(a,1,2))]. given #3735 (H,wt=13): 3946 (x / (y * x)) \ T(x,y) = x * y. [para(3913(a,1),3895(a,1,2))]. given #3736 (H,wt=13): 3948 T(x,y) = (x \ (y * x)) \ (y * x). [para(22(a,1),3922(a,1,1)),flip(a)]. given #3737 (H,wt=13): 3951 T(x,y) = (x * (x * y)) / (y * x). [hyper(62,a,1212,a,b,3924,a),flip(a)]. given #3738 (H,wt=13): 4005 T(x,(1 / x) * y) = T(x,x \ y). [hyper(62,a,3015,a(flip),b,3925,a)]. given #3739 (H,wt=13): 4011 T(x * y,T(y,x)) = T(x * y,y). [para(3948(a,2),3668(a,1,2))]. given #3740 (H,wt=14): 3939 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(596(a,1),3913(a,1,2))]. given #3741 (H,wt=10): 4013 T(x,L(y,x,y)) = T(x,y). [hyper(62,a,3996,a(flip),b,3939,a),flip(a)]. given #3742 (H,wt=14): 3944 T(x,y) \ x != z | y \ T(y,x) = z. [para(3913(a,1),3632(a,1,1))]. given #3743 (H,wt=14): 3964 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(286,a,734,a,b,3932,a)]. given #3744 (H,wt=14): 3968 T(x,y / x) != z | (x \ y) \ y = z. [para(3932(a,1),640(a,1))]. given #3745 (H,wt=14): 3976 T(x,y) \ (x * y) != z | T(y,x) = z. [para(3943(a,1),301(a,1,2)),flip(b)]. given #3746 (H,wt=12): 4016 T(x,T(y,x)) != z | T(x,y) = z. [para(212(a,1),3976(a,1))]. given #3747 (H,wt=14): 3983 x / T(y,x) != z | T(x,y) / y = z. [para(3953(a,1),258(a,1,2))]. given #3748 (H,wt=14): 3986 T(x,y / x) != z | T(x,x \ y) = z. [para(3963(a,2),316(a,1))]. given #3749 (H,wt=14): 3990 R(T(x,y),x \ y,x) = T(x,x \ y). [para(10(a,1),3923(a,1,1,2))]. given #3750 (H,wt=14): 3995 x * T(y,x * y) = L(y,x,y) * x. [para(3989(a,2),598(a,1,2))]. given #3751 (H,wt=12): 4024 T(L(x,y,x) * y,x) = y * x. [para(3995(a,1),1175(a,1,1))]. given #3752 (H,wt=14): 4010 R(1 / x,x,y) \ T(y,x) = y * x. [para(197(a,2),3946(a,1,1))]. given #3753 (H,wt=14): 4020 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(286,a,109,a(flip),b,3990,a),flip(a)]. given #3754 (H,wt=14): 4022 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(1205,a,3995,a)]. given #3755 (H,wt=14): 4023 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1204,a,3995,a)]. given #3756 (H,wt=14): 4025 (L(x,y,x) * y) * x = x * (y * x). [para(3995(a,1),1174(a,1,1))]. given #3757 (H,wt=9): 4030 L(R(x,y,x),y,x) = x. [hyper(896,a,4025,a)]. given #3758 (H,wt=12): 4031 x \ T(y * x,y) = R(y,x,y). [hyper(456,a,4030,a)]. given #3759 (H,wt=11): 4034 R(x,y,T(x,y)) = R(x,y,x). [hyper(62,a,1011,a(flip),b,4031,a)]. given #3760 (H,wt=12): 4033 x * R(y,x,y) = T(y * x,y). [hyper(131,a,4031,a)]. given #3761 (H,wt=14): 4026 T(x,L(x,y,x) * y) = T(x,y * x). [para(4024(a,1),3913(a,1,2)),flip(a)]. given #3762 (H,wt=14): 4027 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(182,a,4010,a)]. given #3763 (H,wt=14): 4028 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(131,a,4010,a),flip(a)]. given #3764 (H,wt=14): 4035 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(10(a,1),4031(a,1,2,1)),flip(a)]. given #3765 (H,wt=14): 4041 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(286,a,3989,a(flip),b,4026,a),flip(a)]. given #3766 (H,wt=15): 3910 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3904(a,2),2777(a,1,1))]. given #3767 (H,wt=15): 3912 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(286,a,3603,a(flip),b,3911,a),flip(a)]. given #3768 (H,wt=15): 3916 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3911(a,2),3812(a,1,2,1))]. given #3769 (H,wt=15): 3917 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3911(a,2),3816(a,1,1)),flip(a)]. given #3770 (H,wt=15): 3930 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3913(a,1),25(a,1,1)),flip(a)]. given #3771 (H,wt=15): 3931 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),3913(a,1,2))]. given #3772 (H,wt=15): 3934 T(x \ y,(x \ y) \ y) = T(x \ y,x). [para(109(a,1),3913(a,1,2))]. given #3773 (H,wt=15): 3936 T(x,T(x \ y,z)) = T(x,T(y / x,z)). [para(223(a,1),3913(a,1,2))]. given #3774 (H,wt=15): 3952 (T(x,y) / y) * z = (x / T(y,x)) * z. [hyper(56,a,3926,a)]. given #3775 (H,wt=15): 3954 T(x * (y / x),x) = x * (y / T(x,y)). [para(3926(a,1),1511(a,2,2))]. given #3776 (H,wt=15): 3956 (T(x,y) \ y) * z = (x \ T(y,x)) * z. [para(3927(a,1),179(a,1,1,1)),flip(a)]. given #3777 (H,wt=15): 3960 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3928(a,2),1505(a,2,1))]. given #3778 (H,wt=15): 3965 (x / y) * T(y,y \ x) = y * (x / y). [para(3932(a,2),108(a,1,2))]. given #3779 (H,wt=11): 4053 T(x / (x / y),y \ x) = y. [hyper(681,a,3965,a)]. given #3780 (H,wt=13): 4057 T(x / (x / (x / y)),y) = x / y. [para(76(a,1),4053(a,1,2))]. given #3781 (H,wt=14): 4056 T(x,y \ z) != y | z / (z / y) = x. [para(4053(a,1),48(a,1)),flip(a)]. given #3782 (H,wt=15): 3966 (x * (y / x)) / T(x,x \ y) = y / x. [para(3932(a,2),174(a,1,2))]. given #3783 (H,wt=15): 3971 (x * (y / x)) * x = y * T(x,x \ y). [para(3932(a,2),830(a,2,2))]. given #3784 (H,wt=15): 3987 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3963(a,1),830(a,2,2))]. given #3785 (H,wt=15): 3994 T(T(x,y * x),z) = T(T(x,z),x * y). [para(3989(a,2),23(a,1,1))]. given #3786 (H,wt=15): 4001 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3915(a,2),3859(a,1,2)),flip(a)]. given #3787 (H,wt=15): 4009 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(312,a,3946,a)]. given #3788 (H,wt=15): 4014 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4013(a,1),108(a,1,2))]. given #3789 (H,wt=15): 4032 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(62,a,3726,a,b,4030,a)]. given #3790 (H,wt=13): 4068 K(x,x \ T(x * y,y)) = K(x,y). [para(4032(a,1),3747(a,1,2)),flip(a)]. given #3791 (H,wt=15): 4037 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3913(a,1),4034(a,1,3))]. given #3792 (H,wt=15): 4038 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4033(a,1),301(a,1,2)),flip(b)]. given #3793 (H,wt=15): 4043 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(628,a,4027,a)]. given #3794 (H,wt=15): 4044 (x / y) * (x * (y / x)) = T(x,y / x). [para(364(a,1),4028(a,2,1)),flip(a)]. given #3795 (H,wt=15): 4046 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(73(a,1),3910(a,1,1,1,2)),flip(a)]. given #3796 (H,wt=15): 4047 x \ (y / (y / x)) = y / (x * (y / x)). [hyper(62,a,3850,a(flip),b,3912,a),flip(a)]. given #3797 (H,wt=15): 4054 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(244,a,4053,a)]. given #3798 (H,wt=14): 4073 T(x / (x / y),x) = L(y,y \ x,y). [para(4054(a,1),606(a,1,1))]. given #3799 (H,wt=15): 4058 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4053(a,1),108(a,1,2)),flip(a)]. given #3800 (H,wt=15): 4060 (x * (y / x)) / x = y / (y / (y / x)). [hyper(244,a,4057,a)]. given #3801 (H,wt=15): 4065 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(62,a,23,a,b,3994,a)]. given #3802 (H,wt=15): 4072 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3617,a,4046,a),flip(a)]. given #3803 (H,wt=13): 4079 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3296,a,4072,a)]. given #3804 (H,wt=13): 4080 K(x,(x * y) / x) = K(y,x) \ 1. [para(9(a,1),4079(a,1,1,1)),flip(a)]. given #3805 (H,wt=10): 4083 L(x,y,K(z,y) \ 1) = x. [para(4080(a,1),3870(a,1,3))]. given #3806 (H,wt=11): 4082 K(T(x,y),y) \ 1 = K(y,x). [para(204(a,1),4080(a,1,2)),flip(a)]. given #3807 (H,wt=8): 4088 R(x,K(x,y),z) = x. [para(4082(a,1),3838(a,1,2))]. given #3808 (H,wt=11): 4086 K(T(x,y),y) * K(y,x) = 1. [hyper(131,a,4082,a)]. given #3809 (H,wt=12): 4089 R(T(x,y),K(x,z),u) = T(x,y). [para(4088(a,1),27(a,2,1))]. given #3810 (H,wt=14): 4087 x * K(y,z) != 1 | K(T(z,y),y) = x. [para(4082(a,1),126(a,1,2)),flip(b)]. given #3811 (H,wt=14): 4092 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4086(a,1),42(a,1)),flip(a)]. given #3812 (H,wt=14): 4093 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4086(a,1),301(a,1,2)),flip(b)]. given #3813 (H,wt=15): 4077 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(62,a,1217,a,b,4058,a)]. given #3814 (H,wt=15): 4096 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(129,a,4077,a)]. given #3815 (H,wt=16): 4017 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(23(a,1),4016(a,1,2))]. given #3816 (H,wt=16): 4019 K(x,x \ 1) != y | T(K(x,x \ 1),z) = y. [para(2135(a,1),4016(a,1))]. given #3817 (H,wt=16): 4045 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4041(a,1),1311(a,1,1))]. given #3818 (H,wt=16): 4069 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(62,a,3722,a,b,4068,a),flip(a)]. given #3819 (H,wt=15): 4098 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4033(a,1),4069(a,2,1))]. given #3820 (H,wt=13): 4099 K(x \ T(x * y,x),x) = K(y,x). [hyper(286,a,1518,a(flip),b,4098,a)]. given #3821 (H,wt=13): 4100 K(x \ T(y,x),x) = K(x \ y,x). [para(10(a,1),4099(a,1,1,2,1))]. given #3822 (H,wt=15): 4101 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(203(a,1),4100(a,1,1,2)),flip(a)]. given #3823 (H,wt=15): 4102 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4001(a,2),4101(a,1,1))]. given #3824 (H,wt=16): 4081 K(x,y / x) != z \ 1 | K(x \ y,x) = z. [para(4079(a,1),47(a,1))]. given #3825 (H,wt=16): 4095 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(110(a,1),4093(a,1,1,1))]. given #3826 (H,wt=17): 3935 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3913(a,1),213(a,1,2,1))]. given #3827 (H,wt=13): 4103 T(x,y) * T(T(y,x),x) = y * x. [hyper(286,a,3943,a(flip),b,3935,a),flip(a)]. given #3828 (H,wt=13): 4104 (x * y) / T(T(x,y),y) = T(y,x). [hyper(116,a,3943,a(flip),b,3935,a)]. given #3829 (H,wt=13): 4105 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(115,a,3943,a(flip),b,3935,a)]. given #3830 (H,wt=17): 3955 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(23(a,1),3927(a,1,2,1))]. given #3831 (H,wt=17): 3984 T(L(x,y,z),u / x) = L((x \ u) \ u,y,z). [para(3963(a,1),25(a,1,1)),flip(a)]. given #3832 (H,wt=16): 4109 T(L(x,x \ y,x),y / x) = y \ (x * y). [hyper(286,a,445,a(flip),b,3984,a),flip(a)]. given #3833 (H,wt=14): 4111 T(L(x,x \ y,x),y / x) = T(x,y). [hyper(286,a,22,a,b,4109,a),flip(a)]. given #3834 (H,wt=17): 4008 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3913(a,1),3929(a,1,2)),flip(a)]. given #3835 (H,wt=15): 4113 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(286,a,3929,a(flip),b,4008,a),flip(a)]. given #3836 (H,wt=17): 4012 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [para(73(a,1),4005(a,1,2,1)),flip(a)]. given #3837 (H,wt=15): 4114 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(640,a,4012,a),flip(a)]. given #3838 (H,wt=15): 4115 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(4012(a,1),240(a,1,2))]. given #3839 (H,wt=17): 4021 R(T(x,y),x \ y,x) != z | (x \ y) \ y = z. [para(3990(a,2),640(a,1))]. given #3840 (H,wt=17): 4029 R(T(x,y),x \ y,x) != z | T(x,x \ y) = z. [para(4020(a,2),316(a,1))]. given #3841 (H,wt=17): 4042 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(603(a,1),4026(a,1,2))]. given #3842 (H,wt=13): 4119 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(286,a,3991,a(flip),b,4042,a),flip(a)]. given #3843 (H,wt=16): 4120 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4119(a,1),1309(a,1,1))]. given #3844 (H,wt=17): 4048 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(33,a,1017,a,b,3916,a),flip(a)]. given #3845 (H,wt=17): 4049 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(286,a,3857,a,b,3917,a)]. given #3846 (H,wt=17): 4063 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(216,a,3987,a,b,10,a)]. given #3847 (H,wt=17): 4070 R(1 / x,x,x \ y) = R(1 / x,x,y / x). [para(110(a,1),4043(a,1,3))]. given #3848 (H,wt=17): 4076 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4073(a,2),425(a,1,2))]. given #3849 (H,wt=17): 4085 L(x \ y,z,K(u,z) \ 1) != w \ y | x = w. [para(4083(a,2),47(a,1))]. given #3850 (H,wt=17): 4106 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(23(a,1),3935(a,1,2))]. given #3851 (H,wt=17): 4110 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. [para(3984(a,2),3413(a,1,2))]. given #3852 (H,wt=17): 4117 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(10(a,1),4114(a,1,2)),flip(a)]. given #3853 (H,wt=17): 4118 T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y. [para(12(a,1),4114(a,1,2))]. given #3854 (H,wt=17): 4122 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(62,a,1296,a,b,4049,a)]. given #3855 (H,wt=17): 4124 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(62,a,3954,a(flip),b,4063,a),flip(a)]. given #3856 (H,wt=17): 4128 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [hyper(38,a,2121,a,b,4110,a(flip))]. given #3857 (H,wt=18): 3914 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3911(a,2),2861(a,1))]. given #3858 (H,wt=18): 3949 T(x,y) * T(y,x) != z * u | (x * y) / u = z. [para(3922(a,1),298(a,1,2))]. given #3859 (H,wt=18): 3950 T(x,y) * T(y,x) != z * u | z \ (x * y) = u. [para(3922(a,1),374(a,1,2))]. given #3860 (H,wt=18): 3972 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3932(a,2),835(a,1,2,2))]. given #3861 (H,wt=18): 4015 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4013(a,1),262(a,1,2))]. given #3862 (H,wt=18): 4018 T(x \ y,(x \ y) \ y) != z | T(x \ y,x) = z. [para(109(a,1),4016(a,1,2))]. given #3863 (H,wt=18): 4039 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4033(a,1),1844(a,1,1))]. given #3864 (H,wt=18): 4062 (x * (y / x)) * x != z * T(x,x \ y) | y = z. [para(3971(a,2),43(a,1))]. given #3865 (H,wt=18): 4074 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4073(a,2),25(a,2,1)),flip(a)]. given #3866 (H,wt=18): 4075 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(73(a,1),4073(a,1,1,2)),flip(a)]. given #3867 (H,wt=18): 4116 T(x \ 1,x * y) != z | ((x \ 1) \ y) \ y = z. [para(4012(a,1),640(a,1))]. given #3868 (H,wt=18): 4125 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4070(a,2),362(a,1,1))]. given #3869 (H,wt=15): 4134 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4125(a,1),726(a,1,2))]. given #3870 (H,wt=18): 4132 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(3904(a,2),3914(a,1))]. given #3871 (H,wt=19): 3902 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3877(a,1),3628(a,1,1)),flip(a)]. given #3872 (H,wt=17): 4135 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(286,a,3635,a(flip),b,3902,a),flip(a)]. given #3873 (H,wt=15): 4136 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4016,a,4135,a),flip(a)]. given #3874 (H,wt=13): 4137 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4016,a,4136,a),flip(a)]. given #3875 (H,wt=13): 4139 T(x,y / (z * y)) = T(x,z \ 1). [para(9(a,1),4137(a,1,2,1))]. given #3876 (H,wt=13): 4140 T(x,(y / z) \ 1) = T(x,z / y). [para(76(a,1),4137(a,1,2,1)),flip(a)]. given #3877 (H,wt=16): 4138 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4136(a,1),4016(a,1))]. given #3878 (H,wt=16): 4145 T(x,y / (z * y)) != u | T(x,z \ 1) = u. [para(9(a,1),4138(a,1,2,1))]. given #3879 (H,wt=16): 4146 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(76(a,1),4138(a,1,2,1))]. given #3880 (H,wt=19): 3909 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3903(a,2),2846(a,2,2)),flip(a)]. given #3881 (H,wt=19): 3937 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3913(a,1),214(a,1,2,1))]. given #3882 (H,wt=18): 4147 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(595(a,1),3937(a,1,2))]. given #3883 (H,wt=16): 4148 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(286,a,4014,a(flip),b,4147,a),flip(a)]. given #3884 (H,wt=16): 4150 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3989(a,2),4148(a,1,2))]. given #3885 (H,wt=17): 4151 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(62,a,604,a,b,4150,a)]. given #3886 (H,wt=11): 4153 L(x,T(y,x),x) = L(x,y,x). [hyper(34,a,4014,a,b,4151,a),flip(a)]. given #3887 (H,wt=13): 4155 L(x,x \ y,x) = L(x,y / x,x). [para(110(a,1),4153(a,1,2))]. given #3888 (H,wt=19): 3938 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3913(a,1),215(a,1,2,1))]. given #3889 (H,wt=19): 3958 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3928(a,2),86(a,1,2,1))]. given #3890 (H,wt=17): 4160 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(286,a,4100,a(flip),b,3958,a),flip(a)]. given #3891 (H,wt=17): 4161 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [hyper(131,a,4160,a)]. given #3892 (H,wt=19): 3992 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3988(a,1),3957(a,1,1))]. given #3893 (H,wt=15): 4163 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1514(a,1),3992(a,1,2))]. given #3894 (H,wt=15): 4164 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3926(a,1),4163(a,1,2))]. given #3895 (H,wt=18): 4165 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4164(a,1),42(a,1)),flip(a)]. given #3896 (H,wt=19): 3998 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(3991(a,1),3924(a,1,1,2))]. given #3897 (H,wt=15): 4166 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(34,a,1505,a(flip),b,3998,a),flip(a)]. given #3898 (H,wt=15): 4167 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(129,a,4166,a)]. given #3899 (H,wt=18): 4168 (x \ y) * x != z * T(x,y) | x \ T(y,x) = z. [para(4167(a,1),43(a,1))]. given #3900 (H,wt=19): 4002 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(286,a,3730,a(flip),b,3918,a)]. given #3901 (H,wt=17): 4169 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3925(a,1),4002(a,1,2,2,1))]. given #3902 (H,wt=17): 4170 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(131,a,4169,a),flip(a)]. given #3903 (H,wt=13): 4171 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3731,a,4170,a)]. given #3904 (H,wt=17): 4172 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(62,a,3754,a,b,4171,a)]. given #3905 (H,wt=13): 4173 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(286,a,3314,a(flip),b,4172,a),flip(a)]. given #3906 (H,wt=13): 4174 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(62,a,3332,a(flip),b,4173,a)]. given #3907 (H,wt=13): 4175 K((1 / x) * y,x) = K(x \ y,x). [para(9(a,1),4174(a,1,1,2)),flip(a)]. given #3908 (H,wt=15): 4176 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(22(a,2),4175(a,2,1))]. given #3909 (H,wt=17): 4177 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(821(a,1),4176(a,1,1))]. given #3910 (H,wt=17): 4178 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(62,a,3333,a,b,4177,a)]. given #3911 (H,wt=17): 4179 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4178(a,1),4082(a,1,1))]. given #3912 (H,wt=13): 4180 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4093,a,4179,a),flip(a)]. given #3913 (H,wt=17): 4181 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(62,a,3186,a(flip),b,4180,a),flip(a)]. given #3914 (H,wt=19): 4036 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4031(a,1),94(a,1,1)),flip(a)]. given #3915 (H,wt=19): 4050 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(3931(a,1),23(a,1,1)),flip(a)]. given #3916 (H,wt=19): 4066 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3879(a,1),4009(a,1,1))]. given #3917 (H,wt=19): 4097 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(76(a,1),4096(a,1,1,1))]. given #3918 (H,wt=15): 4182 (x * (y / x)) * (y / (y / x)) = y * x. [para(76(a,1),4097(a,2,2))]. given #3919 (H,wt=19): 4149 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4148(a,2),42(a,1))]. given #3920 (H,wt=19): 4152 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(4150(a,2),42(a,1))]. given #3921 (H,wt=19): 4183 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(11(a,1),4182(a,1,1,2))]. given #3922 (H,wt=15): 4184 (x * y) * ((y * x) / y) = (y * x) * x. [para(11(a,1),4183(a,1,2,2))]. given #3923 (H,wt=19): 4185 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(512,a,4184,a)]. given #3924 (H,wt=15): 4186 ((x \ y) * x) * x = y * (y / (y / x)). [para(4054(a,1),4185(a,1,2)),flip(a)]. given #3925 (H,wt=20): 3940 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3913(a,1),375(a,1,2,1))]. given #3926 (H,wt=20): 3981 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(27(a,2),3947(a,1,2))]. given #3927 (H,wt=20): 3997 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(3991(a,1),262(a,1,2))]. given #3928 (H,wt=20): 4064 x * ((y \ x) \ x) != y * z | T(y * (x / y),y) = z. [para(3987(a,1),217(a,2)),flip(a)]. given #3929 (H,wt=20): 4078 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4060(a,1),792(a,1,1))]. given #3930 (H,wt=20): 4112 T(L(L(x,x \ y,x),z,u),y / x) = L(T(x,y),z,u). [para(4111(a,1),25(a,1,1)),flip(a)]. given #3931 (H,wt=20): 4123 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(4049(a,1),42(a,1))]. given #3932 (H,wt=20): 4126 x * ((x \ y) * x) != y * z | T(y / (y / x),y) = z. [para(4076(a,1),42(a,1))]. given #3933 (H,wt=20): 4154 x * T(y,z) != y * L(z,y,z) | L(z,T(y,z),z) = x. [para(4151(a,1),43(a,1)),flip(a)]. given #3934 (H,wt=20): 4157 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3923(a,1),3938(a,1,2)),flip(a)]. given #3935 (H,wt=19): 4190 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(286,a,4039,a(flip),b,4157,a),flip(a)]. given #3936 (H,wt=20): 4158 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3964(a,1),3938(a,1,2)),flip(a)]. given #3937 (H,wt=20): 4159 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3990(a,1),3938(a,1,2)),flip(a)]. given #3938 (H,wt=13): 4192 R(x,x \ y,x) = R(x,y / x,x). [hyper(34,a,4158,a,b,4159,a),flip(a)]. given #3939 (H,wt=13): 4195 R(x,(x * y) / x,x) = R(x,y,x). [para(9(a,1),4192(a,1,2)),flip(a)]. given #3940 (H,wt=11): 4196 R(x,T(y,x),x) = R(x,y,x). [para(204(a,1),4195(a,1,2)),flip(a)]. given #3941 (H,wt=13): 4197 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(62,a,4037,a,b,4196,a)]. given #3942 (H,wt=14): 4194 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(62,a,4035,a(flip),b,4192,a),flip(a)]. given #3943 (H,wt=16): 4199 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(11(a,1),4194(a,1,2)),flip(a)]. given #3944 (H,wt=19): 4198 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4197(a,1),31(a,1,1)),flip(a)]. given #3945 (H,wt=20): 4162 (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. [para(4160(a,1),126(a,1,2)),flip(a),flip(b)]. given #3946 (H,wt=20): 4189 T(L(L(x,x \ y,x),z,u),y / x) = T(L(x,z,u),y). [hyper(286,a,25,a(flip),b,4112,a),flip(a)]. given #3947 (H,wt=20): 4200 T(L(L(x,y / x,x),z,u),y / x) = T(L(x,z,u),y). [para(4155(a,1),4189(a,1,1,1))]. given #3948 (H,wt=17): 4201 T(L(x,y,z),x * (u / x)) = T(L(x,y,z),u). [hyper(62,a,837,a(flip),b,4200,a)]. given #3949 (H,wt=21): 4071 ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (x / y)). [para(3718(a,1),4044(a,1,2))]. given #3950 (H,wt=19): 4202 ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. [hyper(286,a,3963,a(flip),b,4071,a),flip(a)]. given #3951 (H,wt=15): 4203 ((x / y) / x) * ((y \ x) * y) = y \ x. [para(76(a,1),4202(a,2,1))]. given #3952 (H,wt=19): 4204 ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. [para(76(a,1),4203(a,1,2,1))]. given #3953 (H,wt=15): 4205 (x / (x / y)) / x = y / (y * (x / y)). [hyper(116,a,76,a(flip),b,4204,a),flip(a)]. given #3954 (H,wt=21): 4090 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4088(a,1),469(a,1,1,1)),flip(a)]. given #3955 (H,wt=11): 4206 L(x,K(y,z),L(y,u,w)) = x. [hyper(435,a,4090,a)]. given #3956 (H,wt=14): 4208 L(x,K(y,z),L(y,u,w)) != v5 | v5 = x. [para(4206(a,1),49(a,1)),flip(a)]. given #3957 (H,wt=21): 4129 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(4128(a,1),23(a,1,1)),flip(a)]. given #3958 (H,wt=21): 4133 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4039(a,2),42(a,1))]. given #3959 (H,wt=21): 4207 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2942(a,1),4090(a,1,1))]. given #3960 (H,wt=22): 3970 (x / y) * T(y,y \ x) != z * u | z \ (y * (x / y)) = u. [para(3932(a,2),516(a,1,2))]. given #3961 (H,wt=22): 3978 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(3943(a,1),92(a,1,1))]. given #3962 (H,wt=22): 3979 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(3943(a,1),94(a,2,1))]. given #3963 (H,wt=22): 3980 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3943(a,1),104(a,1,2))]. given #3964 (H,wt=22): 4131 x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. [para(3885(a,2),3914(a,1))]. given #3965 (H,wt=22): 4144 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4140(a,1),3771(a,1,1,2))]. given #3966 (H,wt=18): 4210 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(11(a,1),4144(a,1,1,2,2))]. given #3967 (H,wt=14): 4211 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(62,a,2964,a(flip),b,4210,a),flip(a)]. given #3968 (H,wt=17): 4212 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4211(a,1),3619(a,1,1))]. given #3969 (H,wt=15): 4214 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(78(a,1),4212(a,1,2))]. given #3970 (H,wt=15): 4217 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(109(a,1),4214(a,1,1,2))]. given #3971 (H,wt=15): 4218 x \ ((x \ y) \ y) = y / ((x \ y) * x). [hyper(182,a,4217,a),flip(a)]. given #3972 (H,wt=15): 4219 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(62,a,3861,a(flip),b,4218,a)]. given #3973 (H,wt=18): 4213 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3646,a,4212,a)]. given #3974 (H,wt=20): 4220 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(204(a,1),4213(a,1,3)),flip(a)]. given #3975 (H,wt=19): 4221 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(552,a,4220,a)]. given #3976 (H,wt=23): 3839 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(62,a,3751,a(flip),b,3816,a),flip(a)]. given #3977 (H,wt=23): 3840 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3262,a(flip),b,3816,a),flip(a)]. given #3978 (H,wt=21): 4224 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2756(a,1),3840(a,1,2))]. given #3979 (H,wt=23): 3962 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3928(a,1),2278(a,1,2,1))]. given #3980 (H,wt=23): 3973 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3932(a,1),3724(a,1,2,1))]. given #3981 (H,wt=23): 3982 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3947(a,1),1192(a,1,1)),flip(a)]. given #3982 (H,wt=23): 3993 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,3989,a)]. given #3983 (H,wt=23): 4007 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3925(a,1),3761(a,2,1,2))]. given #3984 (H,wt=19): 4227 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(286,a,3817,a(flip),b,4007,a),flip(a)]. given #3985 (H,wt=23): 4187 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3928(a,1),4186(a,1,1,1))]. given #3986 (H,wt=19): 4228 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4167(a,1),4187(a,1,1))]. given #3987 (H,wt=17): 4229 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(3997,a,4228,a),flip(a)]. given #3988 (H,wt=15): 4230 T(x / (x / y),x) = x / (x / T(y,x)). [hyper(33,a,4076,a,b,4229,a)]. given #3989 (H,wt=15): 4231 T(x / (x / y),x) \ x = x / T(y,x). [hyper(175,a,4230,a(flip))]. given #3990 (H,wt=14): 4233 L(x,x \ y,x) \ y = y / T(x,y). [para(4073(a,1),4231(a,1,1))]. given #3991 (H,wt=15): 4232 T(x / y,x) \ x = x / T(y \ x,x). [para(73(a,1),4231(a,1,1,1,2))]. given #3992 (H,wt=23): 4193 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,y \ x,y) = z. [para(4159(a,1),43(a,1))]. given #3993 (H,wt=23): 4223 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3816(a,1),3839(a,2,2))]. given #3994 (H,wt=24): 3864 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(62,a,3621,a,b,3857,a)]. given #3995 (H,wt=15): 4234 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4211(a,1),3864(a,1,1))]. given #3996 (H,wt=15): 4235 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3866,a,4234,a),flip(a)]. given #3997 (H,wt=15): 4236 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3842,a,4234,a),flip(a)]. given #3998 (H,wt=15): 4237 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(286,a,3917,a,b,4234,a),flip(a)]. given #3999 (H,wt=15): 4240 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(62,a,3917,a,b,4235,a)]. given #4000 (H,wt=15): 4244 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(115,a,10,a(flip),b,4236,a)]. given #4001 (H,wt=15): 4245 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(62,a,3917,a,b,4236,a)]. given #4002 (H,wt=15): 4248 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4236(a,1),3916(a,1,2)),flip(a)]. given #4003 (H,wt=17): 4241 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(62,a,4048,a(flip),b,4235,a)]. given #4004 (H,wt=17): 4246 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(115,a,4236,a(flip),b,3857,a),flip(a)]. given #4005 (H,wt=17): 4249 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(115,a,4212,a(flip),b,4237,a(flip)),flip(a)]. given #4006 (H,wt=17): 4256 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(286,a,950,a(flip),b,4249,a),flip(a)]. given #4007 (H,wt=18): 4238 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4234(a,1),3866(a,1))]. given #4008 (H,wt=18): 4251 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [hyper(115,a,4248,a(flip),b,3978,a)]. given #4009 (H,wt=13): 4259 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(439,a,4251,a),flip(a)]. given #4010 (H,wt=16): 4260 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4251(a,1),439(a,1))]. given #4011 (H,wt=17): 4262 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(110(a,1),4259(a,1,2))]. given #4012 (H,wt=18): 4255 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3661,a,4246,a),flip(a)]. given #4013 (H,wt=15): 4263 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(688,a,4255,a),flip(a)]. given #4014 (H,wt=18): 4261 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(62,a,3979,a(flip),b,4259,a)]. given #4015 (H,wt=16): 4264 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(305,a,4261,a),flip(a)]. given #4016 (H,wt=20): 4257 T(x,y) \ (x * z) != x \ u | ((y * x) / y) * z = u. [para(4249(a,1),46(a,1))]. given #4017 (H,wt=20): 4258 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4256(a,1),1301(a,1))]. given #4018 (H,wt=21): 4253 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(929,a,4241,a),flip(a)]. given #4019 (H,wt=22): 4247 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4236(a,2),513(a,1))]. given #4020 (H,wt=22): 4250 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4245(a,2),513(a,1))]. given #4021 (H,wt=22): 4252 T(x,y) * (T(y,x) * z) != u * w | u \ (x * (y * z)) = w. [para(4248(a,2),513(a,1))]. given #4022 (H,wt=22): 4254 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4241(a,1),877(a,1))]. given #4023 (H,wt=24): 3878 ((x \ y) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. [para(3846(a,2),1113(a,1))]. given #4024 (H,wt=24): 3974 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(3943(a,1),14(a,2,1,2)),flip(a)]. given #4025 (H,wt=24): 3975 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3943(a,1),14(a,2,2,1)),flip(a)]. given #4026 (H,wt=20): 4266 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4248(a,1),3975(a,1,1))]. given #4027 (H,wt=13): 4267 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(655,a,4266,a),flip(a)]. given #4028 (H,wt=16): 4268 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4266(a,1),655(a,1))]. given #4029 (H,wt=24): 4004 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3920(a,1),691(a,1,1))]. given #4030 (H,wt=24): 4006 ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). [para(3925(a,1),588(a,2,1))]. given #4031 (H,wt=18): 4269 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. [para(67(a,1),4006(a,1,2)),flip(a)]. given #4032 (H,wt=24): 4121 (T(x,(y / z) / (1 / z)) \ x) * (y / z) != u | T(y,x) / z = u. [para(4048(a,2),929(a,1))]. given #4033 (H,wt=24): 4209 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4198(a,1),3980(a,1,1)),flip(a)]. given #4034 (H,wt=21): 4271 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(286,a,470,a(flip),b,4209,a),flip(a)]. given #4035 (H,wt=18): 4272 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1134(a,1),4271(a,1,1))]. given #4036 (H,wt=17): 4273 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(62,a,4039,a(flip),b,4272,a),flip(a)]. given #4037 (H,wt=20): 4274 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4273(a,1),301(a,1,2))]. given #4038 (H,wt=24): 4215 (x \ T(x,y)) \ (((x * y) / x) * z) != u * w | u \ (y * z) = w. [para(4212(a,2),513(a,1))]. given #4039 (H,wt=24): 4226 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3982(a,2),3940(a,1))]. given #4040 (H,wt=24): 4265 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(110(a,1),4261(a,2,1,1))]. given #4041 (H,wt=24): 4270 R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). [para(22(a,2),4269(a,1,1,2))]. given #4042 (H,wt=22): 4276 ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). [para(3913(a,1),4270(a,1,1)),flip(a)]. given #4043 (H,wt=24): 4275 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3932(a,2),4265(a,1,2,1))]. given #4044 (H,wt=25): 4052 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3960(a,2),3951(a,2,2)),flip(a)]. given #4045 (H,wt=21): 4278 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3919(a,1),4052(a,1,1,2))]. given #4046 (H,wt=19): 4279 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(108(a,1),4278(a,1,1))]. given #4047 (H,wt=25): 4094 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4089(a,1),470(a,1,1,1)),flip(a)]. given #4048 (H,wt=25): 4107 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),4105(a,1,1))]. given #4049 (H,wt=25): 4108 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3913(a,1),3955(a,1,2,1))]. given #4050 (H,wt=21): 4280 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4113(a,1),4108(a,1,1))]. given #4051 (H,wt=11): 4281 T(x,T(y,T(x,z))) = T(x,y). [hyper(62,a,3955,a(flip),b,4280,a),flip(a)]. given #4052 (H,wt=25): 4222 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(62,a,3027,a(flip),b,4221,a)]. given #4053 (H,wt=25): 4225 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(62,a,3188,a(flip),b,4224,a),flip(a)]. given #4054 (H,wt=21): 4287 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2965(a,1),4225(a,1,1)),flip(a)]. given #4055 (H,wt=21): 4288 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4287(a,1),3171(a,1,2))]. given #4056 (H,wt=21): 4289 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4288(a,1),290(a,1,1)),flip(a)]. given #4057 (H,wt=25): 4286 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(62,a,3029,a,b,4222,a),flip(a)]. given #4058 (H,wt=26): 3906 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3903(a,2),18(a,2,1)),flip(a)]. given #4059 (H,wt=26): 3959 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3928(a,1),82(a,1,1,2,1))]. given #4060 (H,wt=26): 3999 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(3996(a,1),376(a,1,2,1))]. given #4061 (H,wt=26): 4000 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(3996(a,1),377(a,1,2,1))]. given #4062 (H,wt=26): 4191 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4190(a,1),4036(a,1,2))]. given #4063 (H,wt=12): 4291 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4274,a,4191,a)]. given #4064 (H,wt=26): 4277 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4276(a,1),2696(a,2,2))]. given #4065 (H,wt=26): 4290 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(62,a,4244,a(flip),b,3906,a)]. given #4066 (H,wt=26): 4292 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(62,a,4223,a(flip),b,4290,a)]. given #4067 (H,wt=16): 4293 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4245(a,1),4292(a,1,2)),flip(a)]. given #4068 (H,wt=15): 4294 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(286,a,235,a(flip),b,4293,a),flip(a)]. given #4069 (H,wt=18): 4295 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4293(a,2),552(a,1))]. given #4070 (H,wt=24): 4297 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,3516,a(flip),b,4294,a),flip(a)]. given #4071 (H,wt=27): 3961 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3928(a,1),1878(a,1,2,1))]. given #4072 (H,wt=27): 4051 (T(x,y) / y) * a(x / T(y,x),z,z \ 1) = R(x / T(y,x),z,z \ 1). [hyper(286,a,716,a(flip),b,3952,a),flip(a)]. given #4073 (H,wt=28): 4127 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4106(a,1),690(a,1,2)),flip(a)]. given #4074 (H,wt=29): 3899 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3898(a,1),1267(a,2,2,1,2))]. given #4075 (H,wt=25): 4300 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(62,a,1482,a(flip),b,3899,a),flip(a)]. given #4076 (H,wt=23): 4301 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(108(a,1),4300(a,2,1,2))]. given #4077 (H,wt=21): 4302 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3859(a,1),4301(a,1,2,1))]. given #4078 (H,wt=17): 4303 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4102(a,1),4302(a,1,2)),flip(a)]. given #4079 (H,wt=9): 4304 T(x,(y \ x) * y) = x. [hyper(3750,a,4303,a)]. given #4080 (H,wt=13): 4305 T((x \ y) * x,y) = (x \ y) * x. [hyper(53,a,4304,a)]. given #4081 (H,wt=13): 4306 T(x * (y / x),y) = x * (y / x). [para(77(a,1),4304(a,1,2))]. given #4082 (H,wt=17): 4307 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4306(a,2),4219(a,1,1))]. given #4083 (H,wt=25): 4308 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3734(a,1),4307(a,1,1,1)),flip(a)]. given #4084 (H,wt=17): 4309 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4227(a,1),4308(a,1,2)),flip(a)]. given #4085 (H,wt=15): 4310 ((x \ y) * x) / y = y / (x * (y / x)). [para(4305(a,1),4309(a,1,1))]. given #4086 (H,wt=15): 4311 x \ (y / (y / x)) = ((x \ y) * x) / y. [hyper(286,a,4047,a,b,4310,a)]. given #4087 (H,wt=29): 3908 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(3903(a,2),439(a,1,1))]. given #4088 (H,wt=29): 4040 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4033(a,1),3344(a,2,1))]. given #4089 (H,wt=24): 4312 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1041,a,4040,a),flip(a)]. given #4090 (H,wt=20): 4313 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2160(a,1),4312(a,1,1)),flip(a)]. given #4091 (H,wt=25): 4314 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(116,a,4313,a(flip),b,1035,a)]. given #4092 (H,wt=30): 4188 (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(1915(a,1),3981(a,1,2,1))]. given #4093 (H,wt=12): 4316 T(x,R(x * K(y,x),z,u)) = x. [hyper(228,a,4188,a),flip(a)]. given #4094 (H,wt=31): 4299 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4297(a,1),3339(a,2,2))]. given #4095 (H,wt=21): 4318 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(286,a,4289,a(flip),b,4299,a),flip(a)]. given #4096 (H,wt=22): 4319 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3775,a,4318,a)]. given #4097 (H,wt=18): 4321 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(286,a,145,a(flip),b,4319,a),flip(a)]. given #4098 (H,wt=21): 4323 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4321(a,1),3024(a,1,2))]. given #4099 (H,wt=26): 4324 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4323(a,1),3787(a,1,2)),flip(a)]. given #4100 (H,wt=14): 4326 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(286,a,2650,a(flip),b,4324,a),flip(a)]. given #4101 (H,wt=10): 4330 R(x,K(y \ 1,y),z) = x. [para(10(a,1),4326(a,1,3))]. given #4102 (H,wt=10): 4333 R(x,y,K(z \ 1,z)) = x. [hyper(62,a,3573,a(flip),b,4330,a)]. given #4103 (H,wt=10): 4347 R(x,y,K(z,1 / z)) = x. [para(76(a,1),4333(a,1,3,1))]. given #4104 (H,wt=10): 4351 R(x,y,K(z,z \ 1)) = x. [para(1388(a,1),4333(a,1,3))]. given #4105 (H,wt=10): 4352 R(x,y,K(1 / z,z)) = x. [para(1436(a,1),4333(a,1,3))]. given #4106 (H,wt=13): 4341 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3510,a,4333,a),flip(a)]. given #4107 (H,wt=13): 4344 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(62,a,2732,a(flip),b,4333,a),flip(a)]. given #4108 (H,wt=13): 4346 R(x,y,K(z \ 1,z)) != u | x = u. [para(4333(a,1),50(a,2))]. given #4109 (H,wt=13): 4357 R(x,y,z \ 1) = R(x,y,1 / z). [hyper(62,a,2729,a(flip),b,4351,a),flip(a)]. given #4110 (H,wt=13): 4364 T(x,y * K(z,z \ 1)) = T(x,y). [para(1388(a,1),4341(a,1,2,2))]. given #4111 (H,wt=14): 4379 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(62,a,458,a,b,4357,a)]. given #4112 (H,wt=14): 4380 R(x,y,1 / y) / (y \ 1) = x * y. [hyper(116,a,4357,a(flip),b,458,a)]. given #4113 (H,wt=15): 4340 T(x,y / (z \ 1)) = T(x,y / (1 / z)). [hyper(3569,a,4333,a)]. given #4114 (H,wt=15): 4366 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2383(a,1),4341(a,1,2))]. given #4115 (H,wt=15): 4367 T(x,y * (z \ 1)) = T(x,y * (1 / z)). [para(2567(a,1),4341(a,1,2))]. given #4116 (H,wt=15): 4369 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2914(a,1),4341(a,1,2))]. given #4117 (H,wt=15): 4370 T(x,(y \ 1) * z) = T(x,(1 / y) * z). [para(2995(a,1),4341(a,1,2))]. given #4118 (H,wt=15): 4371 T(x,(y \ 1) \ z) = T(x,(1 / y) \ z). [para(3020(a,1),4341(a,1,2)),flip(a)]. given #4119 (H,wt=15): 4382 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2581(a,1),4364(a,1,2)),flip(a)]. given #4120 (H,wt=15): 4383 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2748(a,1),4364(a,1,2))]. given #4121 (H,wt=15): 4387 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(62,a,649,a(flip),b,4369,a),flip(a)]. given #4122 (H,wt=11): 4390 K((x \ 1) * y,x \ y) = 1. [hyper(54,a,4387,a)]. given #4123 (H,wt=17): 4384 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3430(a,1),4364(a,1,2))]. given #4124 (H,wt=18): 4376 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(4210(a,2),4346(a,1))]. given #4125 (H,wt=18): 4385 T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. [hyper(116,a,27,a(flip),b,4379,a)]. given #4126 (H,wt=18): 4389 T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). [para(3006(a,2),4370(a,2,2)),flip(a)]. given #4127 (H,wt=19): 4334 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4330(a,1),104(a,1,1)),flip(a)]. given #4128 (H,wt=19): 4335 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [para(4330(a,1),461(a,1,1)),flip(a)]. given #4129 (H,wt=19): 4343 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(62,a,3531,a(flip),b,4333,a)]. given #4130 (H,wt=19): 4345 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(62,a,2673,a(flip),b,4333,a),flip(a)]. given #4131 (H,wt=19): 4348 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4333(a,1),104(a,1,1)),flip(a)]. given #4132 (H,wt=14): 4400 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2476,a,4348,a)]. given #4133 (H,wt=14): 4402 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(435,a,4348,a)]. given #4134 (H,wt=17): 4412 L(x,y,z) != K(u \ 1,u) | K(u \ 1,u) = x. [para(4402(a,1),49(a,1)),flip(a)]. given #4135 (H,wt=17): 4415 K(x \ 1,x) != y | L(K(x \ 1,x),z,u) = y. [para(4402(a,1),4260(a,1))]. given #4136 (H,wt=19): 4350 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4333(a,1),459(a,1,1))]. given #4137 (H,wt=17): 4417 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1071(a,1),4350(a,1,2)),flip(a)]. given #4138 (H,wt=15): 4421 T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). [para(4417(a,1),4341(a,1,2))]. given #4139 (H,wt=17): 4422 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4421(a,2),240(a,1,2))]. given #4140 (H,wt=19): 4353 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4347(a,1),104(a,1,1)),flip(a)]. given #4141 (H,wt=19): 4358 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4351(a,1),104(a,1,1)),flip(a)]. given #4142 (H,wt=17): 4424 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3431,a,4358,a)]. given #4143 (H,wt=17): 4427 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(115,a,4424,a(flip),b,1389,a(flip))]. given #4144 (H,wt=17): 4429 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(115,a,4427,a(flip),b,1400,a(flip)),flip(a)]. given #4145 (H,wt=19): 4361 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4351(a,1),2164(a,1,1))]. given #4146 (H,wt=19): 4362 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4352(a,1),104(a,1,1)),flip(a)]. given #4147 (H,wt=19): 4375 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3844(a,1),4346(a,1))]. given #4148 (H,wt=13): 4431 R(K(x,y),x,z) != u | K(x,y) = u. [para(3844(a,2),4375(a,1))]. given #4149 (H,wt=19): 4391 T(x,y * (z * (u \ 1))) = T(x,y * (z * (1 / u))). [para(2663(a,1),4384(a,1,2,2)),flip(a)]. given #4150 (H,wt=19): 4393 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(62,a,3505,a(flip),b,4334,a)]. given #4151 (H,wt=19): 4394 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2646(a,1),4335(a,1,2,1)),flip(a)]. given #4152 (H,wt=19): 4397 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2153(a,2),4343(a,1,2))]. given #4153 (H,wt=19): 4401 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2161,a,4348,a)]. given #4154 (H,wt=19): 4416 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(62,a,3491,a,b,4350,a)]. given #4155 (H,wt=19): 4419 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2153(a,2),4350(a,1,2))]. given #4156 (H,wt=19): 4423 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(62,a,2150,a,b,4353,a)]. given #4157 (H,wt=19): 4425 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(512,a,4358,a),flip(a)]. given #4158 (H,wt=19): 4430 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(286,a,2140,a,b,4361,a),flip(a)]. given #4159 (H,wt=19): 4432 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2658,a,4393,a)]. given #4160 (H,wt=19): 4434 x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. [hyper(300,a,4393,a),flip(a)]. given #4161 (H,wt=19): 4443 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(62,a,3497,a,b,4423,a)]. given #4162 (H,wt=19): 4449 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2645(a,1),4432(a,1,2,2))]. given #4163 (H,wt=21): 4386 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4340(a,2),4253(a,1,2,1))]. given #4164 (H,wt=15): 4458 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4254,a,4386,a)]. given #4165 (H,wt=15): 4459 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(131,a,4458,a),flip(a)]. given #4166 (H,wt=15): 4460 x \ T(x * y,z) = T(y * x,z) / x. [para(11(a,1),4458(a,1,2,1,2))]. given #4167 (H,wt=15): 4463 T((x \ y) * x,z) / x = x \ T(y,z). [para(72(a,1),4458(a,1,2,1)),flip(a)]. given #4168 (H,wt=15): 4471 T(x * (y / x),K(y,z)) = x * (y / x). [para(2937(a,1),4459(a,2,2,1))]. given #4169 (H,wt=13): 4484 T(K(x,y),z * (x / z)) = K(x,y). [hyper(53,a,4471,a)]. given #4170 (H,wt=15): 4475 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(129,a,4460,a(flip))]. given #4171 (H,wt=15): 4479 T((x \ y) * x,z) = (x \ T(y,z)) * x. [hyper(129,a,4463,a),flip(a)]. given #4172 (H,wt=15): 4485 T(K(x * y,z),y * x) = K(x * y,z). [para(11(a,1),4484(a,1,2,2))]. given #4173 (H,wt=15): 4490 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4475(a,1),3991(a,1,2))]. given #4174 (H,wt=17): 4468 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(110(a,1),4459(a,2,2,1))]. given #4175 (H,wt=17): 4476 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4460(a,2),110(a,1,1))]. given #4176 (H,wt=17): 4480 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4463(a,1),110(a,1,1)),flip(a)]. given #4177 (H,wt=17): 4493 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4479(a,1),108(a,1,2))]. given #4178 (H,wt=18): 4462 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(4458(a,1),232(a,1,2)),flip(b)]. given #4179 (H,wt=18): 4481 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(4463(a,2),232(a,1,2)),flip(b)]. given #4180 (H,wt=18): 4482 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4463(a,1),263(a,1,1)),flip(b)]. given #4181 (H,wt=18): 4487 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4475(a,1),227(a,1,1)),flip(b)]. given #4182 (H,wt=18): 4492 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4479(a,2),43(a,1))]. given #4183 (H,wt=19): 4461 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(73(a,1),4458(a,1,2,1,2))]. given #4184 (H,wt=17): 4500 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(286,a,988,a(flip),b,4461,a),flip(a)]. given #4185 (H,wt=19): 4472 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(3932(a,2),4459(a,2,2,1))]. given #4186 (H,wt=19): 4473 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(286,a,915,a(flip),b,4460,a),flip(a)]. given #4187 (H,wt=19): 4474 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(62,a,824,a,b,4460,a)]. given #4188 (H,wt=19): 4495 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4468(a,1),108(a,1,2)),flip(a)]. given #4189 (H,wt=19): 4496 x * (y * T(y \ T(z,x),y)) = ((y \ z) * y) * x. [hyper(533,a,4493,a)]. given #4190 (H,wt=19): 4497 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(110(a,1),4493(a,1,2,1,2)),flip(a)]. given #4191 (H,wt=19): 4501 T(x * (y / x),y \ z) = T(x * (y / x),z / y). [hyper(286,a,4459,a,b,4472,a)]. given #4192 (H,wt=19): 4506 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(127,a,4497,a)]. given #4193 (H,wt=21): 4388 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(2823(a,1),4370(a,1,2)),flip(a)]. given #4194 (H,wt=19): 4511 T(x,y \ K(z,y \ 1)) = T(x,K(z,y \ 1) / y). [para(3059(a,1),4388(a,1,2)),flip(a)]. given #4195 (H,wt=21): 4395 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(2995(a,1),4335(a,1,2,1))]. given #4196 (H,wt=21): 4399 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2616(a,1),4345(a,2,2))]. given #4197 (H,wt=21): 4408 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(62,a,1250,a,b,4400,a)]. given #4198 (H,wt=17): 4515 K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. [para(4408(a,1),1251(a,1))]. given #4199 (H,wt=21): 4448 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2572(a,1),4432(a,1,2,2))]. given #4200 (H,wt=21): 4450 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [hyper(115,a,2569,a(flip),b,4434,a),flip(a)]. given #4201 (H,wt=17): 4517 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(73(a,1),4450(a,1,2,2))]. given #4202 (H,wt=21): 4478 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4460(a,2),3749(a,1,2))]. given #4203 (H,wt=21): 4509 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(286,a,4140,a,b,4501,a)]. given #4204 (H,wt=21): 4514 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(131,a,4408,a)]. given #4205 (H,wt=19): 4521 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2615,a,4514,a)]. given #4206 (H,wt=21): 4519 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4517(a,1),3520(a,1,2,1))]. given #4207 (H,wt=17): 4523 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(62,a,3035,a(flip),b,4519,a)]. given #4208 (H,wt=17): 4524 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4523(a,1),3773(a,1,1))]. given #4209 (H,wt=17): 4525 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(62,a,3793,a(flip),b,4524,a)]. given #4210 (H,wt=17): 4526 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(286,a,4311,a,b,4525,a),flip(a)]. given #4211 (H,wt=22): 4373 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4344(a,1),104(a,1,1))]. given #4212 (H,wt=22): 4374 x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. [para(4344(a,1),720(a,1,2))]. given #4213 (H,wt=22): 4413 (x * y) * K(z \ 1,z) != u | x * (y * K(z \ 1,z)) = u. [para(4402(a,1),261(a,1,2))]. given #4214 (H,wt=22): 4441 x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. [para(4419(a,2),2161(a,1))]. given #4215 (H,wt=22): 4444 x \ (y * K(z,z \ 1)) != u | (x \ y) * K(z,z \ 1) = u. [para(4425(a,1),301(a,1,2)),flip(b)]. given #4216 (H,wt=22): 4446 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4430(a,2),2145(a,1))]. given #4217 (H,wt=22): 4464 x * (T(y,z) / x) != u * w | T(x * (y / x),z) / w = u. [para(4458(a,1),298(a,1,2))]. given #4218 (H,wt=22): 4483 (x \ T(y,z)) * x != u * w | u \ T((x \ y) * x,z) = w. [para(4463(a,1),297(a,1,1))]. given #4219 (H,wt=22): 4494 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4485(a,1),262(a,1,2))]. given #4220 (H,wt=22): 4510 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4506(a,1),263(a,1,1)),flip(b)]. given #4221 (H,wt=23): 4406 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4348(a,1),3505(a,1,1))]. given #4222 (H,wt=23): 4407 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4348(a,1),3528(a,1,1))]. given #4223 (H,wt=23): 4420 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3548(a,1),4417(a,1,2))]. given #4224 (H,wt=21): 4532 (x \ 1) \ (R(x,y,z) \ 1) = (1 / x) \ (1 / R(x,y,z)). [hyper(62,a,3020,a(flip),b,4420,a),flip(a)]. given #4225 (H,wt=19): 4533 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(62,a,3389,a(flip),b,4532,a),flip(a)]. given #4226 (H,wt=23): 4439 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3579(a,1),4394(a,1,1)),flip(a)]. given #4227 (H,wt=23): 4442 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4393(a,1),4419(a,1,2))]. given #4228 (H,wt=23): 4456 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4449(a,1),4361(a,1,2))]. given #4229 (H,wt=23): 4457 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4449(a,1),4416(a,1,1))]. given #4230 (H,wt=23): 4477 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(85(a,1),4460(a,1,2,1)),flip(a)]. given #4231 (H,wt=23): 4507 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(62,a,3593,a,b,4497,a)]. given #4232 (H,wt=23): 4520 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(62,a,1499,a,b,4478,a)]. given #4233 (H,wt=23): 4522 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4514(a,1),2568(a,1,1))]. given #4234 (H,wt=23): 4538 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4510,a,4520,a)]. given #4235 (H,wt=24): 4488 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4475(a,1),415(a,1,2))]. given #4236 (H,wt=24): 4512 ((1 / x) * y) \ z != K(x \ 1,x) * u | ((x \ 1) * y) \ z = u. [para(4395(a,1),42(a,1))]. given #4237 (H,wt=24): 4527 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4526(a,1),3785(a,2,2))]. given #4238 (H,wt=25): 4528 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4373(a,1),43(a,1))]. given #4239 (H,wt=25): 4529 (x * (y \ 1)) * ((y \ 1) \ 1) != z * u | z \ R(x,y \ 1,y) = u. [para(4373(a,1),372(a,1))]. given #4240 (H,wt=26): 4363 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4352(a,1),494(a,1,1))]. given #4241 (H,wt=26): 4435 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4393(a,2),18(a,2,2,2)),flip(a)]. given #4242 (H,wt=26): 4535 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(18(a,2),4442(a,2,1))]. given #4243 (H,wt=21): 4541 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(62,a,4435,a(flip),b,4535,a)]. given #4244 (H,wt=21): 4542 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(286,a,2153,a,b,4541,a),flip(a)]. given #4245 (H,wt=21): 4543 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2153(a,1),4541(a,1,1))]. given #4246 (H,wt=21): 4546 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2650(a,1),4542(a,1,1)),flip(a)]. given #4247 (H,wt=17): 4549 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(62,a,2711,a(flip),b,4546,a)]. given #4248 (H,wt=17): 4551 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(11(a,1),4549(a,1,1,2,1,2))]. given #4249 (H,wt=17): 4552 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4549(a,1),72(a,1,2,1)),flip(a)]. given #4250 (H,wt=17): 4553 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(72(a,1),4549(a,1,1,2,1)),flip(a)]. given #4251 (H,wt=13): 4555 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(183,a,4553,a),flip(a)]. given #4252 (H,wt=13): 4557 (x \ L(x,y,z)) * x = L(x,y,z). [para(160(a,1),4553(a,1,1)),flip(a)]. given #4253 (H,wt=13): 4562 L(x,y,z) \ x = x / L(x,y,z). [hyper(127,a,4555,a),flip(a)]. given #4254 (H,wt=13): 4563 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(121,a,4555,a)]. given #4255 (H,wt=13): 4565 x \ L(x,y,z) = L(x,y,z) / x. [hyper(127,a,4557,a),flip(a)]. given #4256 (H,wt=15): 4566 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(286,a,1664,a,b,4562,a)]. given #4257 (H,wt=15): 4567 a(x,x \ 1,y) \ y = L(y,x \ 1,x). [para(713(a,1),4563(a,1,1))]. given #4258 (H,wt=16): 4564 x * L(y,z,u) != y | L(y,z,u) \ y = x. [para(4555(a,1),43(a,1)),flip(a)]. given #4259 (H,wt=18): 4554 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [hyper(500,a,4552,a)]. given #4260 (H,wt=20): 4556 L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w. [para(4553(a,2),43(a,1))]. given #4261 (H,wt=21): 4548 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4546,a),flip(a)]. given #4262 (H,wt=19): 4570 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1782(a,1),4548(a,1,1)),flip(a)]. given #4263 (H,wt=22): 4558 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4553(a,1),92(a,1,2))]. given #4264 (H,wt=22): 4559 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(444(a,1),4553(a,2,1,2))]. given #4265 (H,wt=23): 4568 x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(4565(a,2),1601(a,1))]. given #4266 (H,wt=12): 4574 T(1 / x,L(x,y,z)) = x \ 1. [hyper(4568,a,1233,a(flip))]. given #4267 (H,wt=16): 4575 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4574(a,1),3321(a,2,2))]. given #4268 (H,wt=23): 4572 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(115,a,4559,a(flip),b,235,a),flip(a)]. given #4269 (H,wt=19): 4576 x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. [hyper(62,a,4538,a(flip),b,4572,a),flip(a)]. given #4270 (H,wt=19): 4577 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(129,a,4576,a(flip))]. given #4271 (H,wt=22): 4578 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4576(a,2),263(a,1,1)),flip(b)]. given #4272 (H,wt=22): 4579 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4576(a,2),128(a,1,1))]. given #4273 (H,wt=24): 4547 L(x * K(y \ 1,y),z,u) != L(x,z,u) * w | K(y \ 1,y) = w. [para(4543(a,2),42(a,1))]. given #4274 (H,wt=24): 4560 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(445(a,1),4553(a,2,1,2))]. given #4275 (H,wt=19): 4580 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(62,a,4527,a(flip),b,4560,a),flip(a)]. given #4276 (H,wt=17): 4581 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(8(a,1),4580(a,1,1,2,2)),flip(a)]. given #4277 (H,wt=15): 4582 x * (y \ (x / (x / y))) = (y \ x) * y. [para(64(a,1),4581(a,2,1,2))]. given #4278 (H,wt=13): 4583 x \ (y / (y / x)) = K(x \ y,x). [hyper(33,a,271,a,b,4582,a),flip(a)]. given #4279 (H,wt=13): 4584 x / (x / y) = y * K(y \ x,y). [hyper(131,a,4583,a),flip(a)]. given #4280 (H,wt=13): 4587 ((x \ y) * x) / y = K(x \ y,x). [hyper(62,a,4311,a(flip),b,4583,a)]. given #4281 (H,wt=13): 4591 (x * K(x \ y,x)) * (y / x) = y. [hyper(129,a,4584,a)]. given #4282 (H,wt=13): 4595 K(x \ y,x) * y = (x \ y) * x. [hyper(129,a,4587,a)]. given #4283 (H,wt=9): 4598 T(x,K(y \ x,y)) = x. [hyper(416,a,4595,a)]. given #4284 (H,wt=11): 4601 T(x * y,K(y,x)) = x * y. [para(9(a,1),4598(a,1,2,1))]. given #4285 (H,wt=11): 4602 K(x,y) = (x * y) / (y * x). [para(4601(a,1),277(a,1,2)),flip(a)]. given #4286 (H,wt=9): 4603 K(x,y) = T(y,x) \ y. [hyper(286,a,3849,a(flip),b,4602,a),flip(a)]. given #4287 (H,wt=9): 4614 K(x,y) = x \ T(x,y). [hyper(286,a,3911,a(flip),b,4603,a),flip(a)]. given #4288 (H,wt=9): 4617 K(x,y) = y / T(y,x). [hyper(286,a,2773,a(flip),b,4603,a),flip(a)]. given #4289 (H,wt=9): 4620 T(x,y) = x / K(y,x). [hyper(182,a,4603,a(flip)),flip(a)]. given #4290 (H,wt=9): 4621 T(x,y) * K(y,x) = x. [hyper(131,a,4603,a(flip))]. given #4291 (H,wt=9): 4629 T(x,y) = K(y,x) \ x. [para(4603(a,2),2777(a,1,1)),flip(a)]. given #4292 (H,wt=9): 4630 K(x,y) * T(y,x) = y. [para(4603(a,2),2778(a,1,1))]. given #4293 (H,wt=9): 4635 T(x * K(y,x),y) = x. [para(4603(a,2),3942(a,1,1,2))]. given #4294 (H,wt=9): 4652 K(x,y) = T(x,y) / x. [hyper(286,a,2851,a(flip),b,4614,a),flip(a)]. given #4295 (H,wt=9): 4659 T(x,y) = x * K(x,y). [hyper(131,a,4614,a(flip)),flip(a)]. given #4296 (H,wt=9): 4667 T(x,y) = K(x,y) * x. [para(4614(a,2),2852(a,1,1)),flip(a)]. given #4297 (H,wt=9): 4710 T(K(x,y) * y,x) = y. [para(2787(a,2),4635(a,1,1))]. given #4298 (H,wt=11): 4605 K(x,y) * (y * x) = x * y. [hyper(129,a,4602,a(flip))]. given #4299 (H,wt=11): 4610 K(x,y) = ((y * x) / y) \ x. [hyper(286,a,3609,a,b,4603,a),flip(a)]. given #4300 (H,wt=11): 4612 K(x,y) = (1 / T(y,x)) * y. [hyper(286,a,2772,a,b,4603,a),flip(a)]. given #4301 (H,wt=11): 4613 K(x,y) = y * (T(y,x) \ 1). [hyper(286,a,952,a,b,4603,a),flip(a)]. given #4302 (H,wt=11): 4618 K(x,y) / y = 1 / T(y,x). [hyper(116,a,4603,a,b,2772,a)]. given #4303 (H,wt=11): 4619 T(x,y) \ 1 = x \ K(y,x). [hyper(115,a,4603,a,b,952,a),flip(a)]. given #4304 (H,wt=11): 4632 K(x,y) * ((y * x) / y) = x. [para(4603(a,2),3610(a,1,1))]. given #4305 (H,wt=11): 4634 K(x,y) = T(y,T(x,y)) \ y. [para(3913(a,2),4603(a,2,1))]. given #4306 (H,wt=9): 4772 K(T(x,y),y) = K(x,y). [hyper(286,a,4603,a,b,4634,a)]. given #4307 (H,wt=9): 4775 K(x,T(y,x)) = K(x,y). [hyper(62,a,3702,a(flip),b,4772,a),flip(a)]. given #4308 (H,wt=9): 4781 K(x,y) \ 1 = K(y,x). [para(4772(a,1),4082(a,1,1))]. given #4309 (H,wt=9): 4782 K(x,y) * K(y,x) = 1. [para(4772(a,1),4086(a,1,1))]. given #4310 (H,wt=9): 4794 1 / K(x,y) = K(y,x). [hyper(182,a,4781,a)]. given #4311 (H,wt=11): 4636 (x * y) / x = y * K(x,y). [para(4603(a,2),3915(a,2,2))]. given #4312 (H,wt=11): 4647 K(x,y) = ((x * y) / x) / y. [hyper(286,a,3606,a,b,4614,a),flip(a)]. given #4313 (H,wt=11): 4649 K(x,y) = y \ ((x * y) / x). [hyper(286,a,3601,a,b,4614,a),flip(a)]. given #4314 (H,wt=11): 4650 K(x,y) = T(x,y) * (x \ 1). [hyper(286,a,873,a,b,4614,a),flip(a)]. given #4315 (H,wt=11): 4655 T(x,y) \ K(x,y) = x \ 1. [hyper(115,a,4614,a,b,873,a)]. given #4316 (H,wt=11): 4658 K(x,y) = (1 / x) * T(x,y). [hyper(2862,a,4614,a(flip)),flip(a)]. given #4317 (H,wt=11): 4669 (x * K(y,x)) * y = y * x. [para(4614(a,2),3597(a,1,1,2))]. given #4318 (H,wt=11): 4670 T(x,y) * K(y,T(x,y)) = x. [para(4614(a,2),3600(a,1,2))]. given #4319 (H,wt=11): 4671 (x * y) / x = K(x,y) * y. [para(4614(a,2),3604(a,1,1)),flip(a)]. given #4320 (H,wt=11): 4694 T(x,y) = 1 / (x \ K(y,x)). [hyper(286,a,3338,a,b,4629,a),flip(a)]. given #4321 (H,wt=11): 4695 T(x,y) = (K(y,x) / x) \ 1. [hyper(286,a,3312,a,b,4629,a),flip(a)]. given #4322 (H,wt=11): 4704 (x * K(y,x)) \ (y * x) = y. [para(4635(a,1),205(a,1,2,2))]. given #4323 (H,wt=11): 4713 T(x,y * K(x,y)) = T(x,y). [para(4635(a,1),3913(a,1,2)),flip(a)]. given #4324 (H,wt=11): 4736 (x * K(x,y)) \ x = K(y,x). [para(4659(a,1),4603(a,2,1)),flip(a)]. given #4325 (H,wt=11): 4740 x * (K(y,x) * y) = y * x. [para(4667(a,1),108(a,1,2))]. given #4326 (H,wt=11): 4756 K(x,y) = x / ((y * x) / y). [hyper(286,a,2890,a(flip),b,4610,a),flip(a)]. given #4327 (H,wt=11): 4776 K(x \ (y * x),x) = K(y,x). [para(22(a,1),4772(a,1,1))]. given #4328 (H,wt=11): 4777 K(x \ y,x) = K(y / x,x). [para(110(a,1),4772(a,1,1))]. given #4329 (H,wt=11): 4784 K(x * K(y,x),y) = K(x,y). [para(4635(a,1),4772(a,1,1)),flip(a)]. given #4330 (H,wt=11): 4786 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),4775(a,1,2))]. given #4331 (H,wt=11): 4788 K(x,x \ y) = K(x,y / x). [para(110(a,1),4775(a,1,2))]. given #4332 (H,wt=11): 4792 K(x,y * K(x,y)) = K(x,y). [para(4635(a,1),4775(a,1,2)),flip(a)]. given #4333 (H,wt=11): 4796 x * (K(y,z) * K(z,y)) = x. [para(4781(a,1),68(a,1,2,2))]. given #4334 (H,wt=11): 4829 (x * K(y,x)) \ x = K(x,y). [para(4636(a,1),4610(a,2,1)),flip(a)]. given #4335 (H,wt=11): 4846 x / (x * K(y,x)) = K(x,y). [para(4636(a,1),4756(a,2,2)),flip(a)]. given #4336 (H,wt=12): 4625 x / K(y,x) != z | T(x,y) = z. [para(4603(a,2),258(a,1,2))]. given #4337 (H,wt=12): 4631 K(x,y) != z | y / T(y,x) = z. [para(4603(a,2),2776(a,1))]. given #4338 (H,wt=12): 4637 K(x,y) != z | x \ T(x,y) = z. [para(4603(a,2),3944(a,1))]. given #4339 (H,wt=12): 4662 K(x,y) != x \ z | T(x,y) = z. [para(4614(a,2),46(a,1))]. given #4340 (H,wt=12): 4663 x * K(x,y) != z | T(x,y) = z. [para(4614(a,2),232(a,1,2)),flip(b)]. given #4341 (H,wt=12): 4668 K(x,y) * x != z | T(x,y) = z. [para(4614(a,2),2858(a,1,1))]. given #4342 (H,wt=12): 4677 K(x,y) != y / z | T(y,x) = z. [para(4617(a,2),44(a,1))]. given #4343 (H,wt=12): 4678 K(x,y) \ y != z | T(y,x) = z. [para(4617(a,2),303(a,1,1)),flip(b)]. given #4344 (H,wt=12): 4684 T(x,y) \ x != z | K(y,x) = z. [para(4620(a,2),303(a,1,1)),flip(b)]. given #4345 (H,wt=12): 4687 T(x,y) != z | K(y,x) \ x = z. [para(4620(a,2),2963(a,1))]. given #4346 (H,wt=12): 4696 T(x,y) != z \ x | K(y,x) = z. [para(4629(a,2),47(a,1))]. given #4347 (H,wt=12): 4697 x / T(x,y) != z | K(y,x) = z. [para(4629(a,2),258(a,1,2))]. given #4348 (H,wt=12): 4703 T(x,y) != z | z * K(y,z) = x. [para(4635(a,1),48(a,1)),flip(a)]. given #4349 (H,wt=12): 4727 T(x,y) != x * z | K(x,y) = z. [para(4659(a,2),42(a,1))]. given #4350 (H,wt=12): 4728 x \ T(x,y) != z | K(x,y) = z. [para(4659(a,2),301(a,1,2)),flip(b)]. given #4351 (H,wt=12): 4739 T(x,y) != z * x | K(x,y) = z. [para(4667(a,2),43(a,1))]. given #4352 (H,wt=12): 4741 T(x,y) / x != z | K(x,y) = z. [para(4667(a,2),227(a,1,1)),flip(b)]. given #4353 (H,wt=12): 4749 T(x,y) != z | x * K(x,y) = z. [para(4667(a,2),2940(a,1))]. given #4354 (H,wt=12): 4783 K(x,y) \ 1 != z | K(y,x) = z. [para(4772(a,1),4093(a,1,1))]. given #4355 (H,wt=12): 4795 K(x,y) != z \ 1 | K(y,x) = z. [para(4781(a,1),47(a,1))]. given #4356 (H,wt=12): 4797 1 / K(x,y) != z | K(y,x) = z. [para(4781(a,1),258(a,1,2))]. given #4357 (H,wt=12): 4805 K(x,T(y,x)) != z | K(x,y) = z. [para(4781(a,1),4093(a,1))]. given #4358 (H,wt=12): 4808 K(x,y) != 1 / z | K(y,x) = z. [para(4794(a,1),44(a,1))]. given #4359 (H,wt=13): 4604 x / (y * (x / y)) = K(x / y,y). [hyper(286,a,146,a(flip),b,4602,a)]. given #4360 (H,wt=7): 4876 K(1 / x,x) = 1. [hyper(267,a,4604,a),flip(a)]. given #4361 (H,wt=7): 4877 K(x,x \ 1) = 1. [hyper(1454,a,4876,a)]. given #4362 (H,wt=7): 4878 K(x \ 1,x) = 1. [hyper(62,a,4777,a,b,4876,a)]. given #4363 (H,wt=7): 4883 T(x,x \ 1) = x. [hyper(55,a,4877,a)]. given #4364 (H,wt=7): 4884 1 / (1 / x) = x. [hyper(116,a,4877,a(flip),b,1389,a(flip))]. given #4365 (H,wt=7): 4885 x \ 1 = 1 / x. [hyper(115,a,4877,a(flip),b,1389,a(flip))]. given #4366 (H,wt=7): 4888 (x \ 1) * x = 1. [hyper(387,a,4878,a)]. given #4367 (H,wt=7): 4893 (x \ 1) \ 1 = x. [hyper(115,a,4878,a(flip),b,236,a(flip))]. given #4368 (H,wt=9): 4892 T(x \ 1,x) = x \ 1. [hyper(55,a,4878,a)]. given #4369 (H,wt=9): 4894 ((x \ 1) \ 1) * 1 = x. [para(4878(a,1),1356(a,1,2))]. given #4370 (H,wt=10): 4879 1 != x | K(y,y \ 1) = x. [para(4876(a,1),1454(a,1))]. given #4371 (H,wt=10): 4887 1 != x | K(y \ 1,y) = x. [para(4877(a,1),2560(a,1))]. given #4372 (H,wt=10): 4897 T(x,L(x,y,z) \ 1) = x. [hyper(139,a,4883,a)]. given #4373 (H,wt=10): 4898 1 / x != y | x \ 1 = y. [para(4883(a,1),285(a,1,2))]. given #4374 (H,wt=10): 4903 x \ 1 != y | 1 / x = y. [para(4884(a,1),303(a,1,1)),flip(b)]. given #4375 (H,wt=10): 4906 x \ 1 != y | y \ 1 = x. [para(4885(a,2),175(a,1))]. given #4376 (H,wt=10): 4907 (x \ 1) \ 1 != y | x = y. [para(4885(a,2),258(a,1))]. given #4377 (H,wt=11): 4880 K(x,x \ 1) = K(y,y \ 1). [hyper(286,a,4877,a,b,4877,a)]. given #4378 (H,wt=11): 4889 K(x \ 1,x) = K(y \ 1,y). [hyper(286,a,4878,a,b,4878,a)]. given #4379 (H,wt=11): 4901 x \ K(y,x) = K(y,x) / x. [para(4883(a,1),3164(a,1,2)),flip(a)]. given #4380 (H,wt=11): 4904 T(x \ y,y \ x) = x \ y. [para(4884(a,1),2370(a,1,1))]. given #4381 (H,wt=11): 4905 T(x,y) \ 1 = K(y,x) / x. [hyper(286,a,4618,a,b,4885,a),flip(a)]. given #4382 (H,wt=11): 4917 K(x,y) = (x \ 1) * T(x,y). [para(4885(a,2),4658(a,2,1))]. given #4383 (H,wt=11): 4918 x \ K(y,y \ 1) = 1 / x. [para(4877(a,2),4885(a,1,2))]. given #4384 (H,wt=11): 4919 K(x,x \ 1) / y = y \ 1. [para(4877(a,2),4885(a,2,1)),flip(a)]. given #4385 (H,wt=11): 4934 K(x,x \ 1) = K(y,1 / y). [hyper(1395,a,4880,a),flip(a)]. given #4386 (H,wt=11): 4935 K(x,x \ 1) = y * (1 / y). [hyper(1392,a,4880,a),flip(a)]. given #4387 (H,wt=12): 4900 R(x \ 1,x,y) = y / (x * y). [para(4883(a,1),3090(a,1,2,1)),flip(a)]. given #4388 (H,wt=12): 4908 R(x \ 1,x,y) \ y = x * y. [para(4885(a,2),362(a,1,1,1))]. given #4389 (H,wt=12): 4909 T(x \ 1,x) != y | x \ 1 = y. [para(4885(a,2),638(a,1,1))]. given #4390 (H,wt=12): 4931 K(x,y) != z | K(y,x) \ 1 = z. [para(4794(a,1),4898(a,1))]. given #4391 (H,wt=12): 4932 K(x,y) != z | 1 / K(y,x) = z. [para(4781(a,1),4903(a,1))]. given #4392 (H,wt=13): 4606 x / ((y \ x) * y) = K(y,y \ x). [para(10(a,1),4602(a,2,1)),flip(a)]. given #4393 (H,wt=13): 4608 K(x,x \ y) * ((x \ y) * x) = y. [para(4602(a,2),78(a,1,1))]. given #4394 (H,wt=13): 4609 K(x,y / x) * y = x * (y / x). [para(4602(a,2),324(a,1,1))]. given #4395 (H,wt=13): 4615 x * T(x \ 1,y) = K(x \ 1,y). [hyper(286,a,3903,a(flip),b,4603,a)]. given #4396 (H,wt=13): 4627 ((x \ y) \ y) * K(x \ y,x) = x. [para(4603(a,2),326(a,1,2))]. given #4397 (H,wt=13): 4628 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4603(a,2),2483(a,1,2))]. given #4398 (H,wt=13): 4638 x * (K(x,y) * z) = T(x,y) * z. [para(4603(a,2),3916(a,1,2,1))]. given #4399 (H,wt=13): 4639 T(x,y) * (x \ z) = K(x,y) * z. [para(4603(a,2),3917(a,2,1))]. given #4400 (H,wt=13): 4643 x * (T(x,y) \ z) = K(y,x) * z. [para(4603(a,2),4235(a,1,1)),flip(a)]. given #4401 (H,wt=13): 4644 K(x,y) * (T(y,x) * z) = y * z. [para(4603(a,2),4236(a,1,1))]. given #4402 (H,wt=13): 4646 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(286,a,3607,a,b,4614,a),flip(a)]. given #4403 (H,wt=13): 4654 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(115,a,4614,a,b,3607,a)]. given #4404 (H,wt=13): 4657 x \ T(x,y \ 1) = K(x,1 / y). [hyper(62,a,3318,a(flip),b,4614,a),flip(a)]. given #4405 (H,wt=13): 4672 (x \ y) * K(x,x \ y) = y / x. [para(4614(a,2),3599(a,1,2))]. given #4406 (H,wt=13): 4674 K(x,x \ y) * y = x * (y / x). [para(4614(a,2),3817(a,1,1))]. given #4407 (H,wt=13): 4675 K(x,y) * (x * z) = T(x,y) * z. [para(4614(a,2),3818(a,1,1))]. given #4408 (H,wt=13): 4679 K(x \ y,x) * ((x \ y) \ y) = x. [para(4617(a,2),328(a,1,1))]. given #4409 (H,wt=13): 4689 (x \ y) * K(x,y / x) = y / x. [para(110(a,1),4621(a,1,1))]. given #4410 (H,wt=13): 4691 ((x \ y) \ y) * K(y / x,x) = x. [para(3963(a,1),4621(a,1,1))]. given #4411 (H,wt=13): 4692 x * (y * K(x,y)) = T(x,y) * y. [para(4621(a,1),4248(a,1,2)),flip(a)]. given #4412 (H,wt=13): 4699 K(x,y / x) * (x \ y) = y / x. [para(110(a,1),4630(a,1,2))]. given #4413 (H,wt=13): 4701 x / (x / y) = y * K(x / y,y). [hyper(39,a,222,a,b,4635,a)]. given #4414 (H,wt=13): 4702 T(T(x * K(y,x),z),y) = T(x,z). [para(4635(a,1),23(a,1,1)),flip(a)]. given #4415 (H,wt=13): 4711 T(x \ K(y,x \ 1),y) = x \ 1. [para(2823(a,1),4635(a,1,1))]. given #4416 (H,wt=13): 4721 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(62,a,4281,a,b,4659,a)]. given #4417 (H,wt=13): 4750 K(x,x \ y) * (x \ y) = y / x. [hyper(39,a,110,a,b,4710,a),flip(a)]. given #4418 (H,wt=13): 4757 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(115,a,4610,a,b,1297,a),flip(a)]. given #4419 (H,wt=13): 4758 K(x,y) / x = 1 / ((y * x) / y). [para(4610(a,2),2893(a,1,1))]. given #4420 (H,wt=13): 4768 K(x \ y,x) * (y / x) = x \ y. [para(10(a,1),4632(a,1,2,1))]. given #4421 (H,wt=13): 4791 K(x,y) \ T(y,x) = T(T(y,x),x). [para(4775(a,1),4629(a,2,1)),flip(a)]. given #4422 (H,wt=13): 4804 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4781(a,1),3286(a,2,2))]. given #4423 (H,wt=13): 4827 K(x,y) = (1 / y) * ((x * y) / x). [para(4636(a,2),2821(a,1,2)),flip(a)]. given #4424 (H,wt=13): 4834 K(1 / x,y) / x = T(1 / x,y). [hyper(327,a,4650,a(flip))]. given #4425 (H,wt=13): 4845 x / (y / (y / x)) = K(x,x \ y). [para(4054(a,1),4756(a,2,2)),flip(a)]. given #4426 (H,wt=13): 4854 x \ (y * (x / y)) = K(y,y \ x). [hyper(286,a,88,a,b,4788,a)]. given #4427 (H,wt=13): 4856 x * K(y,y \ x) = y * (x / y). [para(4788(a,2),272(a,1,2))]. given #4428 (H,wt=9): 5791 T(x,K(y,y \ x)) = x. [hyper(216,a,4856,a,b,4674,a)]. given #4429 (H,wt=9): 5794 K(x,K(y,y \ x)) = 1. [hyper(54,a,5791,a)]. given #4430 (H,wt=11): 5795 x * K(y,K(z,z \ y)) = x. [para(5794(a,2),8(a,1,2))]. given #4431 (H,wt=13): 4925 ((x \ 1) \ 1) * K(y \ 1,y) = x. [para(4878(a,2),4894(a,1,2))]. given #4432 (H,wt=13): 4977 (1 / (1 / x)) * K(y,y \ 1) = x. [para(4880(a,1),1397(a,1,2))]. given #4433 (H,wt=13): 4978 K(x,x \ 1) * y = (y \ 1) \ 1. [para(4880(a,1),1402(a,1,1))]. given #4434 (H,wt=13): 5198 K(K(x,x \ 1) * y,z) = K(y,z). [para(4880(a,1),3316(a,1,1,1))]. given #4435 (H,wt=13): 5270 K(x \ 1,T(x,y)) = K(z \ 1,z). [hyper(286,a,2909,a,b,4889,a)]. given #4436 (H,wt=13): 5303 K(x \ 1,x) * ((y \ 1) \ 1) = y. [para(4889(a,1),834(a,1,1))]. given #4437 (H,wt=13): 5307 (1 / x) * K(y \ 1,y) = x \ 1. [para(4889(a,1),1071(a,1,2))]. given #4438 (H,wt=13): 5316 K(x \ 1,x) * (1 / y) = y \ 1. [para(4889(a,1),1416(a,1,1))]. given #4439 (H,wt=13): 5317 x * K(y \ 1,y) = 1 / (1 / x). [para(4889(a,1),1420(a,1,2))]. given #4440 (H,wt=13): 5671 K(x,1 / x) * (y \ 1) = 1 / y. [para(4934(a,1),1693(a,1,1))]. given #4441 (H,wt=13): 5698 T(1 / x,y) * x = K(x \ 1,y). [hyper(407,a,4615,a)]. given #4442 (H,wt=13): 5713 x \ (T(x,y) * z) = K(x,y) * z. [hyper(121,a,4638,a)]. given #4443 (H,wt=13): 5715 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(115,a,10,a(flip),b,4638,a),flip(a)]. given #4444 (H,wt=13): 5727 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4250,a,4639,a)]. given #4445 (H,wt=13): 5728 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(979,a,4639,a)]. given #4446 (H,wt=13): 5732 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(115,a,10,a(flip),b,4639,a),flip(a)]. given #4447 (H,wt=13): 5736 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(115,a,4639,a(flip),b,4240,a(flip))]. given #4448 (H,wt=11): 5839 K(x,y) \ z = K(y,x) * z. [hyper(37,a,5732,a,b,5736,a)]. given #4449 (H,wt=11): 5844 x / (K(y,z) * x) = K(z,y). [hyper(489,a,5839,a)]. given #4450 (H,wt=11): 5846 K(x,y) * (K(y,x) * z) = z. [hyper(302,a,5839,a),flip(a)]. given #4451 (H,wt=13): 5740 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1016,a,4643,a)]. given #4452 (H,wt=13): 5741 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(978,a,4643,a),flip(a)]. given #4453 (H,wt=13): 5745 T(x,y) * (K(y,x) * z) = x * z. [para(4643(a,1),947(a,1,2))]. given #4454 (H,wt=13): 5746 (x * y) / (K(z,x) * y) = T(x,z). [para(4643(a,1),949(a,1,2))]. given #4455 (H,wt=13): 5754 K(x,(x / y) / x) = K(x,1 / y). [hyper(3709,a,4657,a)]. given #4456 (H,wt=13): 5781 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4757(a,1),2194(a,1,2))]. given #4457 (H,wt=13): 5784 1 / (x * K(y,x)) = K(x,y) / x. [para(4636(a,1),4758(a,2,2)),flip(a)]. given #4458 (H,wt=13): 5786 T(1 / x,(y * x) / y) = x \ 1. [hyper(216,a,4827,a(flip),b,4646,a(flip))]. given #4459 (H,wt=13): 5798 (1 / x) * K(y,y \ 1) = x \ 1. [para(73(a,1),4977(a,1,1,2))]. given #4460 (H,wt=13): 5803 K(x \ 1,x) * y = (y \ 1) \ 1. [para(1391(a,1),4978(a,1,1))]. given #4461 (H,wt=13): 5826 x * K(1 / y,y) = 1 / (1 / x). [para(1436(a,1),5317(a,1,2))]. given #4462 (H,wt=13): 5843 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3237,a,5839,a)]. given #4463 (H,wt=13): 5848 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(115,a,5839,a,b,108,a)]. given #4464 (H,wt=13): 5862 (K(x,y) \ 1) \ z = K(x,y) * z. [para(4781(a,2),5839(a,1,1))]. given #4465 (H,wt=13): 5867 K(x \ y,x) * (x * (y / x)) = y. [hyper(33,a,4674,a,b,5846,a),flip(a)]. given #4466 (H,wt=13): 5892 K(x,y) * (x / y) = x / T(y,x). [hyper(4165,a,5745,a),flip(a)]. given #4467 (H,wt=13): 5896 K(x,1 / (y \ x)) = K(x,y / x). [para(73(a,1),5754(a,1,2,1)),flip(a)]. given #4468 (H,wt=13): 5900 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(175,a,5784,a)]. given #4469 (H,wt=13): 5903 K(x,K(y \ 1,y) * z) = K(x,z). [para(5803(a,2),3314(a,1,2))]. given #4470 (H,wt=14): 4705 x * y != z * x | y * K(x,y) = z. [para(4635(a,1),218(a,1,2))]. given #4471 (H,wt=14): 4706 (x * y) / x != z | y * K(x,y) = z. [para(4635(a,1),257(a,1,1,2)),flip(b)]. given #4472 (H,wt=14): 4759 K(x,y) != z * y | 1 / T(y,x) = z. [para(4612(a,2),43(a,1))]. given #4473 (H,wt=14): 4760 K(x,y) / y != z | 1 / T(y,x) = z. [para(4612(a,2),227(a,1,1)),flip(b)]. given #4474 (H,wt=14): 4763 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4618(a,2),303(a,1,1)),flip(b)]. given #4475 (H,wt=14): 4764 x * (T(x,y) \ 1) != z | K(y,x) = z. [para(4619(a,2),232(a,1,2)),flip(b)]. given #4476 (H,wt=14): 4765 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4619(a,1),258(a,1,2))]. given #4477 (H,wt=14): 4798 x * (K(y,z) * K(z,y)) != u | x = u. [para(4781(a,1),188(a,1,2,2))]. given #4478 (H,wt=14): 4813 x / y != z * K(y,z) | y * z = x. [para(4636(a,1),45(a,1)),flip(a)]. given #4479 (H,wt=14): 4814 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4636(a,1),257(a,1))]. given #4480 (H,wt=14): 4819 T(x * K(y * x,x),y) = R(x,y,x). [para(4636(a,1),706(a,2,1)),flip(a)]. given #4481 (H,wt=14): 4831 x * K(y,x) != z | (y * x) / y = z. [para(4649(a,2),232(a,1,2)),flip(b)]. given #4482 (H,wt=14): 4837 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4655(a,1),232(a,1,2)),flip(b)]. given #4483 (H,wt=14): 4871 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),4805(a,1,2))]. given #4484 (H,wt=14): 4912 (x * (y \ 1)) * y = R(x,y \ 1,y). [para(4885(a,2),2578(a,1,1,2))]. given #4485 (H,wt=14): 4913 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(4885(a,2),3000(a,1,1))]. given #4486 (H,wt=14): 4914 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(4885(a,2),3006(a,2,1))]. given #4487 (H,wt=14): 4915 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(4885(a,2),3007(a,1,1))]. given #4488 (H,wt=14): 5262 K(L(x,y,z) \ 1,x) = K(u \ 1,u). [hyper(4515,a,4889,a)]. given #4489 (H,wt=14): 5663 K(x,x \ 1) != y * z | y \ 1 = z. [para(4917(a,2),519(a,1))]. given #4490 (H,wt=14): 5718 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(33,a,4150,a(flip),b,4638,a),flip(a)]. given #4491 (H,wt=14): 5719 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(33,a,4148,a(flip),b,4638,a),flip(a)]. given #4492 (H,wt=14): 5720 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(33,a,4039,a(flip),b,4638,a),flip(a)]. given #4493 (H,wt=14): 5757 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4657(a,1),4728(a,1))]. given #4494 (H,wt=14): 5758 T(x \ y,R(y / x,z,u)) = x \ y. [para(4672(a,1),4316(a,1,2,1))]. given #4495 (H,wt=14): 5779 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4721(a,2),4663(a,1))]. given #4496 (H,wt=14): 5850 x * (K(y,z) * u) != u | K(z,y) = x. [para(5839(a,1),126(a,1,2)),flip(b)]. given #4497 (H,wt=14): 5851 K(x,y) * z != u | K(y,x) * u = z. [para(5839(a,1),131(a,1))]. given #4498 (H,wt=14): 5852 K(x,y) * (K(y,x) * z) != u | u = z. [para(5839(a,1),232(a,1,2))]. given #4499 (H,wt=14): 5853 K(x,y) * (K(y,x) * z) != u | z = u. [para(5839(a,1),233(a,1,2))]. given #4500 (H,wt=14): 5854 x / (K(y,z) * x) != u | K(z,y) = u. [para(5839(a,1),258(a,1,2))]. given #4501 (H,wt=14): 5864 K(x,y) != z / u | K(y,x) * z = u. [para(5844(a,1),44(a,1))]. given #4502 (H,wt=14): 5865 K(x,y) \ z != u | K(y,x) * z = u. [para(5844(a,1),303(a,1,1)),flip(b)]. given #4503 (H,wt=14): 5927 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2797,a,5719,a)]. given #4504 (H,wt=14): 5928 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2797,a,5720,a)]. given #4505 (H,wt=14): 5934 K(x,y) * z != u | K(y,x) \ z = u. [para(10(a,1),5852(a,1,2)),flip(b)]. given #4506 (H,wt=15): 4585 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(62,a,4526,a,b,4583,a)]. given #4507 (H,wt=15): 4596 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(62,a,4524,a,b,4587,a)]. given #4508 (H,wt=15): 4611 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(286,a,2906,a,b,4603,a)]. given #4509 (H,wt=15): 4633 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4603(a,2),3857(a,2,1))]. given #4510 (H,wt=15): 4640 K(x / y,z) * x = y * T(y \ x,z). [para(4603(a,2),4048(a,1,1))]. given #4511 (H,wt=15): 4648 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(286,a,3605,a,b,4614,a)]. given #4512 (H,wt=15): 4651 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(286,a,3846,a(flip),b,4614,a)]. given #4513 (H,wt=15): 4666 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1736(a,1),4614(a,2,2))]. given #4514 (H,wt=13): 5960 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(286,a,4614,a,b,4666,a),flip(a)]. given #4515 (H,wt=13): 5961 K(x,(y \ 1) \ x) = K(x,x * y). [para(4893(a,1),5960(a,1,2,2)),flip(a)]. given #4516 (H,wt=15): 4680 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4617(a,2),2208(a,1,2))]. given #4517 (H,wt=15): 4700 x \ T(x * y,y) = y * K(x * y,y). [hyper(39,a,3719,a,b,4635,a)]. given #4518 (H,wt=15): 4720 T(x,(y / z) \ 1) = x * K(x,z / y). [hyper(4146,a,4659,a)]. given #4519 (H,wt=13): 5964 K(x,(y / z) \ 1) = K(x,z / y). [hyper(4727,a,4720,a)]. given #4520 (H,wt=13): 5967 K(x,1 / (y / z)) = K(x,z / y). [hyper(62,a,3318,a(flip),b,5964,a)]. given #4521 (H,wt=13): 5968 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),5964(a,1,2,1)),flip(a)]. given #4522 (H,wt=13): 5969 K(x,(y \ z) / z) = K(x,y \ 1). [para(73(a,1),5964(a,1,2,1)),flip(a)]. given #4523 (H,wt=13): 5970 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),5967(a,1,2,2)),flip(a)]. given #4524 (H,wt=15): 4724 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [hyper(62,a,23,a,b,4659,a),flip(a)]. given #4525 (H,wt=14): 5979 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4724(a,1),4663(a,1))]. given #4526 (H,wt=15): 4735 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [para(4659(a,2),1652(a,1,1))]. given #4527 (H,wt=15): 4766 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(109(a,1),4619(a,1,1))]. given #4528 (H,wt=15): 4774 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4634(a,2),3915(a,2,2))]. given #4529 (H,wt=15): 4778 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(109(a,1),4772(a,1,1))]. given #4530 (H,wt=15): 4780 K(x / (x / y),y \ x) = K(y,y \ x). [para(4053(a,1),4772(a,1,1)),flip(a)]. given #4531 (H,wt=15): 4785 K(x \ y,(x \ y) \ y) = K(x \ y,x). [hyper(1724,a,4775,a)]. given #4532 (H,wt=15): 4787 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),4775(a,1,2))]. given #4533 (H,wt=15): 4789 K(x,T(x \ y,z)) = K(x,T(y / x,z)). [para(223(a,1),4775(a,1,2))]. given #4534 (H,wt=15): 4807 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(4794(a,1),32(a,1,2)),flip(a)]. given #4535 (H,wt=15): 4811 x \ ((y * z) / y) = x \ (z * K(y,z)). [hyper(115,a,4636,a,b,10,a)]. given #4536 (H,wt=15): 4812 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(56,a,4636,a)]. given #4537 (H,wt=15): 4818 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4636(a,1),408(a,1,1))]. given #4538 (H,wt=12): 5988 T(x * K(y,x),y) != z | x = z. [para(4818(a,2),259(a,1))]. given #4539 (H,wt=15): 4836 T(x,y * x) * (x \ 1) = K(x,x * y). [para(3989(a,2),4650(a,2,1)),flip(a)]. given #4540 (H,wt=11): 5991 K(x,y * x) = K(x,x * y). [hyper(4837,a,4836,a)]. given #4541 (H,wt=11): 5992 K(x,x * (y / x)) = K(x,y). [para(12(a,1),5991(a,1,2)),flip(a)]. given #4542 (H,wt=15): 4841 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(2823(a,1),4669(a,1,1))]. given #4543 (H,wt=15): 4902 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [para(4883(a,1),4521(a,1,2))]. given #4544 (H,wt=15): 4916 (x \ 1) * R(x,y,z) = x \ R(x,y,z). [para(4885(a,2),3559(a,1,1))]. given #4545 (H,wt=15): 5117 K(x,x \ 1) * (K(y \ 1,y) * z) = z. [para(4880(a,1),2643(a,1,1))]. given #4546 (H,wt=15): 5120 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [para(4880(a,1),2646(a,1,1,1))]. given #4547 (H,wt=15): 5122 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [para(4880(a,1),2650(a,1,2,2))]. given #4548 (H,wt=15): 5712 T(x \ 1,y) \ 1 = x * K(y,x \ 1). [para(4893(a,1),4628(a,1,1)),flip(a)]. given #4549 (H,wt=15): 5716 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(33,a,4049,a,b,4638,a)]. given #4550 (H,wt=15): 5717 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(33,a,945,a,b,4638,a),flip(a)]. given #4551 (H,wt=15): 5733 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(62,a,4638,a,b,4639,a)]. given #4552 (H,wt=15): 5734 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(62,a,4122,a,b,4639,a)]. given #4553 (H,wt=15): 5735 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(115,a,4639,a(flip),b,4638,a)]. given #4554 (H,wt=15): 5738 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4614(a,2),4639(a,1,2)),flip(a)]. given #4555 (H,wt=15): 5739 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4258,a,4643,a)]. given #4556 (H,wt=15): 5756 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(115,a,4657,a(flip),b,3605,a)]. given #4557 (H,wt=15): 5774 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4701(a,2),1545(a,1,2)),flip(a)]. given #4558 (H,wt=15): 5777 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(409,a,4702,a)]. given #4559 (H,wt=15): 5808 K(x * (y \ 1),z) = K(x * (1 / y),z). [para(2642(a,1),5198(a,1,1)),flip(a)]. given #4560 (H,wt=15): 5809 K(x / (y \ 1),z) = K(x / (1 / y),z). [para(2653(a,1),5198(a,1,1))]. given #4561 (H,wt=15): 5811 K((x \ 1) * y,z) = K((1 / x) * y,z). [para(2997(a,1),5198(a,1,1)),flip(a)]. given #4562 (H,wt=15): 5812 K((x \ 1) \ y,z) = K((1 / x) \ y,z). [para(3037(a,1),5198(a,1,1))]. given #4563 (H,wt=15): 5840 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(37,a,4249,a,b,5736,a),flip(a)]. given #4564 (H,wt=15): 5845 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(304,a,5839,a),flip(a)]. given #4565 (H,wt=15): 5866 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2794(a,2),5844(a,1,2))]. given #4566 (H,wt=15): 5868 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(33,a,2093,a,b,5846,a),flip(a)]. given #4567 (H,wt=15): 5876 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(108(a,1),5740(a,1,2))]. given #4568 (H,wt=15): 5884 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4659(a,2),5740(a,1,2))]. given #4569 (H,wt=15): 5885 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5740(a,1),4643(a,1,2)),flip(a)]. given #4570 (H,wt=15): 5893 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1024,a,5745,a)]. given #4571 (H,wt=15): 5901 (x \ 1) / ((y \ 1) \ 1) = (1 / x) / y. [hyper(116,a,5798,a(flip),b,2635,a)]. given #4572 (H,wt=15): 5910 K(x,y / (z \ 1)) = K(x,y / (1 / z)). [para(2569(a,1),5903(a,1,2)),flip(a)]. given #4573 (H,wt=15): 5911 K(x,y * (z \ 1)) = K(x,y * (1 / z)). [para(2572(a,1),5903(a,1,2))]. given #4574 (H,wt=15): 5951 x / (y * T(y \ x,z)) = K(z,x / y). [para(4640(a,1),5844(a,1,2))]. given #4575 (H,wt=15): 5962 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [hyper(182,a,4680,a)]. given #4576 (H,wt=15): 5999 x \ (T(x \ 1,y) \ 1) = K(y,x \ 1). [hyper(115,a,5712,a,b,xx)]. given #4577 (H,wt=15): 6004 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4636(a,1),5716(a,1,1))]. given #4578 (H,wt=15): 6008 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(286,a,2941,a(flip),b,5738,a)]. given #4579 (H,wt=15): 6011 ((x * y) / x) * z = y * (K(x,y) * z). [para(5739(a,1),1295(a,1,2)),flip(a)]. given #4580 (H,wt=15): 6015 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(131,a,5774,a(flip))]. given #4581 (H,wt=15): 6016 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(73(a,1),5808(a,2,1,2))]. given #4582 (H,wt=15): 6017 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(76(a,1),5808(a,1,1,2)),flip(a)]. given #4583 (H,wt=15): 6019 (x * K(y,x)) * z = K(y,x) * (x * z). [hyper(286,a,4812,a(flip),b,5840,a)]. given #4584 (H,wt=8): 6047 L(x,y,K(z,y)) = x. [hyper(33,a,2813,a,b,6019,a)]. given #4585 (H,wt=8): 6049 a(K(x,y),y,z) = 1. [hyper(52,a,6047,a)]. given #4586 (H,wt=10): 6050 L(x,T(y,z),K(z,y)) = x. [para(3702(a,1),6047(a,1,3))]. given #4587 (H,wt=15): 6023 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(286,a,2093,a,b,5884,a),flip(a)]. given #4588 (H,wt=15): 6034 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(73(a,1),5911(a,2,2,2))]. given #4589 (H,wt=15): 6037 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4618(a,2),5962(a,1,2))]. given #4590 (H,wt=15): 6040 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(286,a,5735,a,b,6004,a),flip(a)]. given #4591 (H,wt=15): 6041 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(62,a,4812,a(flip),b,6011,a)]. given #4592 (H,wt=8): 6054 R(x,K(y,x),z) = x. [hyper(4528,a,6041,a)]. given #4593 (H,wt=8): 6055 L(x,K(y,z),z) = x. [hyper(435,a,6041,a)]. given #4594 (H,wt=11): 6060 L(x,K(y,z),z) != u | u = x. [para(6055(a,1),49(a,1)),flip(a)]. given #4595 (H,wt=15): 6053 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(2787(a,1),6040(a,2,2))]. given #4596 (H,wt=16): 4594 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4584(a,1),4073(a,1,1))]. given #4597 (H,wt=16): 4599 ((x \ y) * x) / y != z | K(x \ y,x) = z. [para(4595(a,1),227(a,1,1)),flip(b)]. given #4598 (H,wt=16): 4626 T(x,y) * K(y,x) != z * u | z \ x = u. [para(4603(a,2),374(a,1,2))]. given #4599 (H,wt=16): 4641 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4603(a,2),3914(a,1))]. given #4600 (H,wt=16): 4645 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4603(a,2),4238(a,1,1))]. given #4601 (H,wt=16): 4664 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4614(a,2),374(a,1,2))]. given #4602 (H,wt=16): 4685 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4620(a,2),526(a,1,1))]. given #4603 (H,wt=16): 4690 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4621(a,1),299(a,1,2))]. given #4604 (H,wt=16): 4729 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4659(a,2),92(a,2,2))]. given #4605 (H,wt=16): 4731 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4659(a,2),299(a,1,2))]. given #4606 (H,wt=16): 4779 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(729(a,1),4772(a,1,1)),flip(a)]. given #4607 (H,wt=16): 4861 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3903(a,1),4684(a,1))]. given #4608 (H,wt=16): 4872 K(x,T(T(y,x),z)) != u | K(x,T(y,z)) = u. [para(23(a,1),4805(a,1,2))]. given #4609 (H,wt=16): 5691 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(1436(a,1),4931(a,1))]. given #4610 (H,wt=16): 5722 T(x,y) * z != x * u | K(x,y) * z = u. [para(4638(a,1),42(a,1))]. given #4611 (H,wt=16): 5723 T(x,y) * z != x * (K(x,y) * u) | u = z. [para(4638(a,2),42(a,1)),flip(a)]. given #4612 (H,wt=16): 5724 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4638(a,1),301(a,1,2)),flip(b)]. given #4613 (H,wt=16): 5744 x \ (K(y,x) * z) != u | T(x,y) \ z = u. [para(4643(a,1),301(a,1,2)),flip(b)]. given #4614 (H,wt=16): 5747 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4643(a,1),978(a,1))]. given #4615 (H,wt=16): 5750 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4644(a,1),301(a,1,2)),flip(b)]. given #4616 (H,wt=16): 5765 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4675(a,1),300(a,1))]. given #4617 (H,wt=16): 5778 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(4702(a,1),48(a,2)),flip(b)]. given #4618 (H,wt=16): 5790 x * K(y,y \ x) != z | y * (x / y) = z. [para(4854(a,1),232(a,1,2)),flip(b)]. given #4619 (H,wt=16): 5793 x \ (y * (x / y)) != z | K(y,y \ x) = z. [para(4856(a,1),301(a,1,2)),flip(b)]. given #4620 (H,wt=16): 5834 x \ y != K(x,z) * u | T(x,z) * u = y. [para(5713(a,1),46(a,1)),flip(a)]. given #4621 (H,wt=16): 5835 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5713(a,1),232(a,1,2)),flip(b)]. given #4622 (H,wt=16): 5836 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5715(a,1),42(a,1))]. given #4623 (H,wt=16): 5877 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5740(a,1),232(a,1,2)),flip(b)]. given #4624 (H,wt=16): 5878 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5740(a,1),258(a,1,2))]. given #4625 (H,wt=16): 5894 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5745(a,1),301(a,1,2)),flip(b)]. given #4626 (H,wt=16): 5926 K(x \ y,y \ x) != z * u | z \ 1 = u. [para(2374(a,1),5663(a,1))]. given #4627 (H,wt=16): 5938 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4644(a,1),5852(a,1,2)),flip(b)]. given #4628 (H,wt=16): 5939 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3234(a,1),5854(a,1,2))]. given #4629 (H,wt=16): 5940 T(x,y) * z != u | K(x,y) * (x * z) = u. [para(5727(a,1),5865(a,1))]. given #4630 (H,wt=16): 5941 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(115,a,5927,a(flip),b,4638,a),flip(a)]. given #4631 (H,wt=16): 5942 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(115,a,5928,a(flip),b,4638,a),flip(a)]. given #4632 (H,wt=16): 5966 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(4720(a,2),4663(a,1))]. given #4633 (H,wt=14): 6083 T(x,y \ 1) != z | T(x,1 / y) = z. [para(71(a,1),5966(a,1,2,1))]. given #4634 (H,wt=16): 5972 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5967(a,1),5757(a,1))]. given #4635 (H,wt=16): 5976 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(5970(a,2),1409(a,1))]. given #4636 (H,wt=16): 5978 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5970(a,2),5757(a,1))]. given #4637 (H,wt=16): 6067 x \ y != z | T(x,y) \ ((x * y) / x) = z. [para(4632(a,1),5744(a,1,2))]. given #4638 (H,wt=16): 6074 x * (y * K(x,y)) != z | T(x,y) * y = z. [para(2787(a,1),5835(a,1,2))]. given #4639 (H,wt=16): 6075 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5733(a,1),5835(a,1))]. given #4640 (H,wt=16): 6077 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5846(a,1),5877(a,1,2))]. given #4641 (H,wt=16): 6079 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2094,a,5941,a)]. given #4642 (H,wt=16): 6080 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2094,a,5942,a)]. given #4643 (H,wt=17): 4593 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4584(a,1),3718(a,1,2))]. given #4644 (H,wt=17): 4642 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4603(a,2),3909(a,1,2)),flip(a)]. given #4645 (H,wt=17): 4688 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3319(a,1),4620(a,2,2)),flip(a)]. given #4646 (H,wt=17): 4707 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4635(a,1),214(a,1,2,1)),flip(a)]. given #4647 (H,wt=17): 4708 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4635(a,1),408(a,2,1,2))]. given #4648 (H,wt=17): 4709 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4635(a,1),2126(a,2,2,2))]. given #4649 (H,wt=15): 6092 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5784(a,1),4709(a,1,1,2))]. given #4650 (H,wt=17): 4714 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4635(a,1),3931(a,1,2,1)),flip(a)]. given #4651 (H,wt=17): 4725 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(62,a,4367,a(flip),b,4659,a),flip(a)]. given #4652 (H,wt=17): 4773 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(4634(a,2),3834(a,1,1))]. given #4653 (H,wt=17): 4790 K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). [para(225(a,1),4775(a,1,2))]. given #4654 (H,wt=17): 4820 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4636(a,1),761(a,1,1))]. given #4655 (H,wt=17): 4821 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4636(a,1),767(a,1,1))]. given #4656 (H,wt=17): 4863 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(595(a,2),4728(a,1,2))]. given #4657 (H,wt=17): 4910 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(4885(a,2),583(a,1,1,1))]. given #4658 (H,wt=17): 4930 (L(x,y,z) \ 1) * x = x * (L(x,y,z) \ 1). [para(4897(a,1),108(a,1,2))]. given #4659 (H,wt=17): 5170 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [para(4880(a,1),2997(a,1,1))]. given #4660 (H,wt=17): 5181 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(4880(a,1),2918(a,1,2))]. given #4661 (H,wt=17): 5525 ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. [para(4889(a,1),2839(a,1,2,1))]. given #4662 (H,wt=17): 5528 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [para(4889(a,1),2899(a,1,1))]. given #4663 (H,wt=17): 5531 (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. [para(4889(a,1),2914(a,1,2))]. given #4664 (H,wt=17): 5535 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [para(4889(a,1),2998(a,1,1))]. given #4665 (H,wt=17): 5544 K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z. [para(4889(a,1),3049(a,1,1))]. given #4666 (H,wt=17): 5673 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(3556,a,4935,a)]. given #4667 (H,wt=17): 5695 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4171(a,1),4609(a,1,1))]. given #4668 (H,wt=17): 5704 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4615(a,1),1257(a,1,2)),flip(a)]. given #4669 (H,wt=17): 5705 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4615(a,1),1281(a,1,1))]. given #4670 (H,wt=13): 6143 K((x / y) \ 1,z) = K(y / x,z). [hyper(34,a,4640,a,b,5705,a),flip(a)]. given #4671 (H,wt=13): 6148 K((x / y) \ 1,x) = K(x \ y,x). [hyper(286,a,4777,a,b,6143,a),flip(a)]. given #4672 (H,wt=13): 6149 K(1 / (x / y),z) = K(y / x,z). [hyper(62,a,2930,a(flip),b,6143,a)]. given #4673 (H,wt=13): 6150 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),6143(a,1,1,1)),flip(a)]. given #4674 (H,wt=13): 6152 K((x \ y) / y,z) = K(x \ 1,z). [para(73(a,1),6143(a,1,1,1)),flip(a)]. given #4675 (H,wt=13): 6155 K(x \ (y \ x),x) = K(y \ 1,x). [para(73(a,1),6148(a,1,1,1)),flip(a)]. given #4676 (H,wt=13): 6157 K(x / (y * x),z) = K(1 / y,z). [para(11(a,1),6149(a,1,1,2)),flip(a)]. given #4677 (H,wt=15): 6142 K((x / y) \ 1,x) = ((x \ y) * x) / y. [hyper(116,a,108,a(flip),b,5705,a),flip(a)]. given #4678 (H,wt=15): 6154 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(286,a,4174,a(flip),b,6148,a),flip(a)]. given #4679 (H,wt=17): 5714 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(115,a,108,a(flip),b,4638,a),flip(a)]. given #4680 (H,wt=17): 5725 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2093(a,1),4638(a,1,2))]. given #4681 (H,wt=17): 5726 x * (T(y,z) * K(x,y)) = T(x,y) * T(y,z). [para(2794(a,2),4638(a,1,2))]. given #4682 (H,wt=17): 5729 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(841,a,4639,a)]. given #4683 (H,wt=17): 5748 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4614(a,2),4643(a,1,2)),flip(a)]. given #4684 (H,wt=17): 5752 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1195(a,1),4646(a,2,1)),flip(a)]. given #4685 (H,wt=17): 5761 (x * y) \ (T(x,z) * y) = T(K(x,z),x * y). [hyper(216,a,4675,a,b,10,a),flip(a)]. given #4686 (H,wt=17): 5775 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(4703,a,4702,a)]. given #4687 (H,wt=16): 6160 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5775(a,1),5988(a,1,1))]. given #4688 (H,wt=16): 6161 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(4672(a,1),6160(a,1,1,1))]. given #4689 (H,wt=17): 5796 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [hyper(3061,a,4925,a),flip(a)]. given #4690 (H,wt=15): 6163 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4804(a,1),5796(a,1,1))]. given #4691 (H,wt=17): 5805 K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. [para(4978(a,1),3490(a,1,1)),flip(a)]. given #4692 (H,wt=17): 5806 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [para(4978(a,1),4449(a,2,2))]. given #4693 (H,wt=17): 5814 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4430(a,2),5198(a,1,1))]. given #4694 (H,wt=15): 6164 K(x \ (y \ 1),z) = K(x \ (1 / y),z). [para(1693(a,1),5814(a,1,1,2)),flip(a)]. given #4695 (H,wt=17): 5824 (x * K(y,y \ 1)) \ (1 / z) = x \ (z \ 1). [para(5316(a,1),3500(a,2,2))]. given #4696 (H,wt=17): 5833 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(116,a,541,a(flip),b,5698,a),flip(a)]. given #4697 (H,wt=17): 5841 ((x \ y) \ y) \ z = x \ (K(x \ y,x) * z). [para(109(a,1),5736(a,2,1)),flip(a)]. given #4698 (H,wt=17): 5883 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4621(a,1),5740(a,1,2)),flip(a)]. given #4699 (H,wt=17): 5897 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5754(a,1),272(a,1,2))]. given #4700 (H,wt=17): 5904 K(x \ 1,x) * y = z * (((z \ y) \ 1) \ 1). [para(5803(a,1),4434(a,1,2)),flip(a)]. given #4701 (H,wt=17): 5914 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4394(a,2),5903(a,1,2))]. given #4702 (H,wt=17): 5919 L(x / y,y,y \ 1) = L(x,y \ 1,y) / y. [hyper(62,a,4554,a(flip),b,4913,a),flip(a)]. given #4703 (H,wt=17): 5922 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(4915(a,1),232(a,1,2)),flip(b)]. given #4704 (H,wt=17): 5924 L(K(x \ 1,x),y,z) = K(L(u,w,v5) \ 1,u). [hyper(286,a,4402,a,b,5262,a)]. given #4705 (H,wt=17): 5944 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(9(a,1),4596(a,1,1,1)),flip(a)]. given #4706 (H,wt=13): 6177 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(62,a,631,a(flip),b,5944,a)]. given #4707 (H,wt=17): 5987 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(115,a,4818,a,b,4636,a(flip))]. given #4708 (H,wt=17): 5989 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4818(a,2),4610(a,2,1)),flip(a)]. given #4709 (H,wt=17): 5994 (x \ 1) \ a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(115,a,717,a(flip),b,4916,a)]. given #4710 (H,wt=17): 5998 K(x \ 1,x) * (y / z) = y / ((z \ 1) \ 1). [para(2639(a,1),5122(a,1,2))]. given #4711 (H,wt=17): 6001 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(10(a,1),5716(a,1,1,1)),flip(a)]. given #4712 (H,wt=17): 6013 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(4614(a,2),5739(a,1,2))]. given #4713 (H,wt=17): 6020 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(10(a,1),5840(a,2,1,1))]. given #4714 (H,wt=17): 6042 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(10(a,1),6011(a,1,1,1)),flip(a)]. given #4715 (H,wt=13): 6193 (x / y) * K(y \ x,y) = y \ x. [hyper(4798,a,6042,a),flip(a)]. given #4716 (H,wt=17): 6044 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4054(a,1),6011(a,1,1))]. given #4717 (H,wt=17): 6045 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5892(a,1),6011(a,2,2))]. given #4718 (H,wt=17): 6052 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4978(a,2),6034(a,1,2,2))]. given #4719 (H,wt=17): 6093 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(6092(a,1),108(a,1,2)),flip(a)]. given #4720 (H,wt=17): 6108 x \ (K(y,y \ 1) * z) = ((x \ 1) \ 1) \ z. [hyper(62,a,4361,a,b,5181,a)]. given #4721 (H,wt=17): 6122 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(121,a,5673,a)]. given #4722 (H,wt=15): 6203 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(62,a,4533,a(flip),b,6122,a)]. given #4723 (H,wt=17): 6123 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(286,a,3639,a,b,5695,a),flip(a)]. given #4724 (H,wt=17): 6124 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(116,a,3639,a,b,5695,a)]. given #4725 (H,wt=17): 6132 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(116,a,5704,a(flip),b,400,a)]. given #4726 (H,wt=17): 6156 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(286,a,4651,a,b,6149,a)]. given #4727 (H,wt=17): 6158 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2818,a,5748,a)]. given #4728 (H,wt=17): 6165 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(2140(a,1),5814(a,1,1,2))]. given #4729 (H,wt=17): 6174 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3492(a,1),5914(a,1,2)),flip(a)]. given #4730 (H,wt=17): 6184 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5851,a,6001,a)]. given #4731 (H,wt=17): 6188 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5851,a,6020,a)]. given #4732 (H,wt=18): 4622 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),4603(a,2,1)),flip(a)]. given #4733 (H,wt=18): 4623 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),4603(a,2,1)),flip(a)]. given #4734 (H,wt=18): 4660 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),4614(a,2,2)),flip(a)]. given #4735 (H,wt=18): 4661 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),4614(a,2,2)),flip(a)]. given #4736 (H,wt=18): 4726 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4659(a,2),20(a,2,2)),flip(a)]. given #4737 (H,wt=18): 4730 T(x,y) != T(z,y) * K(T(z,y),u) | T(z,u) = x. [para(4659(a,1),136(a,1)),flip(a)]. given #4738 (H,wt=18): 4738 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(62,a,25,a,b,4667,a),flip(a)]. given #4739 (H,wt=16): 6216 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(4738(a,1),4668(a,1))]. given #4740 (H,wt=18): 4743 T(x,y) != K(T(z,y),u) * T(z,y) | T(z,u) = x. [para(4667(a,1),136(a,1)),flip(a)]. given #4741 (H,wt=18): 4761 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4613(a,2),18(a,2,2,2)),flip(a)]. given #4742 (H,wt=18): 4799 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(4781(a,1),268(a,1,1,2))]. given #4743 (H,wt=18): 4800 x * (K(y,z) * K(z,y)) != u * w | u \ x = w. [para(4781(a,1),372(a,1,2,2))]. given #4744 (H,wt=18): 4816 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4636(a,1),105(a,1,1))]. given #4745 (H,wt=18): 4822 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4636(a,1),839(a,1,1,1))]. given #4746 (H,wt=18): 4825 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4636(a,1),1674(a,2,1)),flip(a)]. given #4747 (H,wt=18): 4832 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4649(a,2),374(a,1,2))]. given #4748 (H,wt=18): 4843 ((x * y) / x) * z != u | (y * K(x,y)) * z = u. [para(4704(a,1),570(a,1,1,2))]. given #4749 (H,wt=18): 4869 K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. [para(2372(a,2),4783(a,1,1))]. given #4750 (H,wt=18): 4873 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(25(a,2),4805(a,1,2))]. given #4751 (H,wt=18): 4874 K(x,T(x \ y,z)) != u | K(x,T(y / x,z)) = u. [para(223(a,1),4805(a,1,2))]. given #4752 (H,wt=18): 4923 x \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [para(4893(a,2),393(a,2,1))]. given #4753 (H,wt=18): 5680 x \ K(y,y \ 1) != z * u | z \ (1 / x) = u. [para(4935(a,2),299(a,1,2))]. given #4754 (H,wt=18): 5753 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(4646(a,1),4637(a,1))]. given #4755 (H,wt=18): 5768 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(4675(a,1),532(a,1))]. given #4756 (H,wt=18): 5782 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4023(a,1),4757(a,1,1)),flip(a)]. given #4757 (H,wt=18): 5858 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5839(a,1),299(a,1))]. given #4758 (H,wt=18): 5870 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5846(a,2),42(a,1))]. given #4759 (H,wt=18): 5963 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(4700(a,2),42(a,1))]. given #4760 (H,wt=18): 5980 T((x \ y) \ y,z) != u | T(T(x,z),x \ y) = u. [para(109(a,1),5979(a,1,1))]. given #4761 (H,wt=18): 5981 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(3994(a,1),5979(a,1))]. given #4762 (H,wt=18): 5982 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4065(a,2),5979(a,1))]. given #4763 (H,wt=18): 6000 x \ (T(x \ 1,y) \ 1) != z | K(y,x \ 1) = z. [para(5712(a,2),301(a,1,2)),flip(b)]. given #4764 (H,wt=18): 6009 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5738(a,2),2949(a,1))]. given #4765 (H,wt=18): 6010 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5738(a,2),2952(a,1))]. given #4766 (H,wt=18): 6014 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5756(a,1),232(a,1,2)),flip(b)]. given #4767 (H,wt=14): 6225 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4648(a,1),6014(a,1))]. given #4768 (H,wt=14): 6226 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(76(a,1),6225(a,1,2))]. given #4769 (H,wt=18): 6026 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5885(a,1),300(a,1))]. given #4770 (H,wt=18): 6038 x * K(y,x \ 1) != z | T(x \ 1,y) \ 1 = z. [para(5999(a,1),232(a,1,2)),flip(b)]. given #4771 (H,wt=18): 6061 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(6055(a,1),261(a,1,2))]. given #4772 (H,wt=18): 6063 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(3609(a,2),4690(a,1))]. given #4773 (H,wt=18): 6068 K(x,y) * T(z,y) != u | T(y,x) \ (z * y) = u. [para(22(a,2),5747(a,1,2))]. given #4774 (H,wt=18): 6071 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4122(a,2),5765(a,1))]. given #4775 (H,wt=18): 6084 T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. [para(4757(a,1),5966(a,1,2))]. given #4776 (H,wt=18): 6085 (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. [para(4614(a,1),6075(a,1,1))]. given #4777 (H,wt=18): 6088 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(10(a,1),6080(a,1,1,1)),flip(a)]. given #4778 (H,wt=18): 6094 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4725(a,1),4663(a,1))]. given #4779 (H,wt=18): 6217 K(x,x \ 1) != y * z | y \ K(u,u \ 1) = z. [para(5117(a,1),4800(a,1))]. given #4780 (H,wt=18): 6221 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(10(a,1),5858(a,1,2))]. given #4781 (H,wt=18): 6228 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(9(a,1),6026(a,1,2,2))]. given #4782 (H,wt=18): 6230 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4636(a,2),6061(a,1,1))]. given #4783 (H,wt=18): 6231 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(6019(a,1),6061(a,1))]. given #4784 (H,wt=19): 4712 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4635(a,1),3071(a,1,2)),flip(a)]. given #4785 (H,wt=19): 4715 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(4635(a,1),4493(a,1,2,1,2)),flip(a)]. given #4786 (H,wt=19): 4732 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4659(a,2),435(a,2,2))]. given #4787 (H,wt=19): 4755 (x * y) \ T(y * x,z) = T(y * x,z) / (x * y). [para(4605(a,1),4477(a,1,1,1)),flip(a)]. given #4788 (H,wt=19): 4810 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(115,a,4636,a,b,947,a)]. given #4789 (H,wt=19): 5696 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2449,a,4615,a)]. given #4790 (H,wt=17): 6236 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4615(a,1),5696(a,1,1))]. given #4791 (H,wt=17): 6237 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(76(a,1),6236(a,1,1,1)),flip(a)]. given #4792 (H,wt=17): 6239 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2932(a,1),6236(a,1,1)),flip(a)]. given #4793 (H,wt=19): 5697 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(815,a,4615,a)]. given #4794 (H,wt=17): 6242 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(532,a,5697,a)]. given #4795 (H,wt=19): 5699 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(62,a,2430,a(flip),b,4615,a)]. given #4796 (H,wt=17): 6246 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4615(a,1),5699(a,1,1))]. given #4797 (H,wt=17): 6248 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(2930(a,1),6246(a,1,1))]. given #4798 (H,wt=17): 6249 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2932(a,1),6246(a,1,1)),flip(a)]. given #4799 (H,wt=17): 6250 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(286,a,2930,a(flip),b,6248,a),flip(a)]. given #4800 (H,wt=17): 6253 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(2931(a,1),6250(a,1,1)),flip(a)]. given #4801 (H,wt=19): 5700 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4615(a,1),678(a,2,2))]. given #4802 (H,wt=19): 5702 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4615(a,1),827(a,2,2))]. given #4803 (H,wt=19): 5703 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4615(a,1),1099(a,1,1))]. given #4804 (H,wt=19): 5706 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4615(a,1),1334(a,2,1))]. given #4805 (H,wt=19): 5707 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4615(a,1),1339(a,2,1))]. given #4806 (H,wt=19): 5730 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(286,a,2943,a,b,4639,a),flip(a)]. given #4807 (H,wt=19): 5742 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(116,a,4386,a(flip),b,4643,a(flip)),flip(a)]. given #4808 (H,wt=19): 5759 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(116,a,4459,a,b,4674,a)]. given #4809 (H,wt=19): 5762 K(T(x,y),z) * (T(x,y) * u) = T(T(x,z),y) * u. [para(23(a,1),4675(a,2,1))]. given #4810 (H,wt=19): 5771 K(x,y) * (T(x,z) * u) = T(x,y) * (K(x,z) * u). [para(4638(a,1),4675(a,1,2))]. given #4811 (H,wt=19): 5776 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(4056,a,4702,a),flip(a)]. given #4812 (H,wt=19): 5789 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(62,a,3732,a,b,4854,a)]. given #4813 (H,wt=19): 5801 (1 / (1 / x)) / (y * z) = x / (y * ((z \ 1) \ 1)). [para(4977(a,1),4399(a,1,1)),flip(a)]. given #4814 (H,wt=19): 5819 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(33,a,4395,a,b,5303,a),flip(a)]. given #4815 (H,wt=19): 5847 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(286,a,2798,a,b,5839,a),flip(a)]. given #4816 (H,wt=19): 5879 K(x,y \ z) * T(y,y \ z) = T(y \ z,x) \ z. [para(201(a,1),5740(a,1,2)),flip(a)]. given #4817 (H,wt=19): 5880 T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). [para(272(a,1),5740(a,1,2))]. given #4818 (H,wt=19): 5898 x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). [para(5754(a,1),1770(a,1,2))]. given #4819 (H,wt=19): 5954 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(62,a,2296,a(flip),b,4648,a)]. given #4820 (H,wt=19): 5957 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4648(a,1),1769(a,1,2))]. given #4821 (H,wt=19): 5973 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5968(a,1),4699(a,1,1))]. given #4822 (H,wt=19): 5977 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5970(a,1),4689(a,1,2))]. given #4823 (H,wt=19): 5995 R(1 / x,y,z) * K(u \ 1,u) = R(x \ 1,y,z). [para(3579(a,1),5120(a,1,1))]. given #4824 (H,wt=19): 6030 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(872(a,1),5893(a,1,2))]. given #4825 (H,wt=19): 6035 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1481(a,1),5951(a,1,2))]. given #4826 (H,wt=19): 6036 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1496(a,1),5951(a,1,2))]. given #4827 (H,wt=19): 6058 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(6054(a,1),468(a,1,1,1)),flip(a)]. given #4828 (H,wt=18): 6276 T(x,y) * (K(x * y,x) * z) = R(x,y,x) * z. [para(5928(a,1),6058(a,1,1)),flip(a)]. given #4829 (H,wt=19): 6066 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5928(a,1),5724(a,1,2))]. given #4830 (H,wt=19): 6082 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5942(a,1),2094(a,1))]. given #4831 (H,wt=19): 6109 x * (((x \ (y \ z)) \ 1) \ 1) = ((y \ 1) \ 1) \ z. [hyper(62,a,2960,a(flip),b,5181,a)]. given #4832 (H,wt=19): 6121 ((1 / (1 / x)) \ y) * z = (x \ y) * ((z \ 1) \ 1). [para(5544(a,1),2621(a,1,1)),flip(a)]. given #4833 (H,wt=19): 6126 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(877,a,5704,a)]. given #4834 (H,wt=19): 6128 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(682,a,5704,a),flip(a)]. given #4835 (H,wt=19): 6129 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,y). [hyper(624,a,5704,a)]. given #4836 (H,wt=19): 6135 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(9(a,1),5704(a,1,2,1)),flip(a)]. given #4837 (H,wt=19): 6145 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),5705(a,2,2,1))]. given #4838 (H,wt=19): 6167 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3529(a,1),5814(a,1,1))]. given #4839 (H,wt=19): 6173 K(x,(y * (z \ 1)) \ u) = K(x,(y * (1 / z)) \ u). [para(2642(a,1),5914(a,1,2,1)),flip(a)]. given #4840 (H,wt=19): 6180 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4584(a,2),5987(a,1,2,1))]. given #4841 (H,wt=19): 6183 x * (((x \ (y / z)) \ 1) \ 1) = y / ((z \ 1) \ 1). [hyper(62,a,5904,a(flip),b,5998,a)]. given #4842 (H,wt=19): 6187 ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [para(6001(a,1),5841(a,2,2))]. given #4843 (H,wt=19): 6195 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4675(a,1),6042(a,1,2))]. given #4844 (H,wt=19): 6202 K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). [para(3037(a,1),6052(a,1,2,2))]. given #4845 (H,wt=19): 6205 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(912(a,1),6156(a,1,1)),flip(a)]. given #4846 (H,wt=19): 6206 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(2960(a,1),6165(a,1,1,2))]. given #4847 (H,wt=19): 6207 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(5805(a,1),6174(a,1,2,2))]. given #4848 (H,wt=19): 6234 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [hyper(129,a,4755,a(flip))]. given #4849 (H,wt=19): 6254 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6253(a,1),4794(a,1,2)),flip(a)]. given #4850 (H,wt=19): 6261 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5703(a,2),5707(a,1,2))]. given #4851 (H,wt=19): 6267 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(121,a,5898,a)]. given #4852 (H,wt=19): 6268 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(129,a,5954,a)]. given #4853 (H,wt=19): 6275 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4497(a,1),6036(a,1,2))]. given #4854 (H,wt=19): 6278 (((x / y) \ 1) \ 1) \ x = z * (((z \ y) \ 1) \ 1). [para(76(a,1),6109(a,1,2,1,1,2)),flip(a)]. given #4855 (H,wt=19): 6279 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(131,a,6126,a)]. given #4856 (H,wt=19): 6280 x / (((y \ x) \ 1) \ 1) = z * (((z \ y) \ 1) \ 1). [para(73(a,1),6183(a,1,2,1,1,2)),flip(a)]. given #4857 (H,wt=19): 6289 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(286,a,5957,a,b,6268,a),flip(a)]. given #4858 (H,wt=17): 6295 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5964(a,1),6289(a,1,1)),flip(a)]. given #4859 (H,wt=19): 6290 x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. [hyper(182,a,6278,a)]. given #4860 (H,wt=19): 6299 x / ((((y / z) \ 1) \ 1) * z) = ((x / y) \ 1) \ 1. [para(2131(a,2),6290(a,1,2))]. given #4861 (H,wt=19): 6300 ((x / (y * z)) \ 1) \ 1 = x / (((y \ 1) \ 1) * z). [para(11(a,1),6299(a,1,2,1,1,1)),flip(a)]. given #4862 (H,wt=20): 4745 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4667(a,2),210(a,1,1))]. given #4863 (H,wt=20): 4752 L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). [para(4605(a,1),94(a,2,2))]. given #4864 (H,wt=20): 4817 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4636(a,2),460(a,1,2))]. given #4865 (H,wt=20): 4823 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4636(a,1),762(a,1,1))]. given #4866 (H,wt=20): 4857 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3319(a,1),4625(a,1,2))]. given #4867 (H,wt=20): 5737 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(4639(a,2),513(a,1))]. given #4868 (H,wt=20): 5764 T(x,y) * z != (x * z) * u | T(K(x,y),x * z) = u. [para(4675(a,1),217(a,2)),flip(a)]. given #4869 (H,wt=20): 5797 (((x * y) \ 1) \ 1) * K(z \ 1,z) != x * u | y = u. [para(4925(a,2),42(a,1))]. given #4870 (H,wt=20): 5855 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5839(a,2),92(a,1,1))]. given #4871 (H,wt=20): 5856 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5839(a,1),268(a,1,1,2))]. given #4872 (H,wt=20): 5857 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5839(a,1),268(a,1,1))]. given #4873 (H,wt=18): 6306 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5857(a,1),6060(a,1)),flip(b)]. given #4874 (H,wt=20): 5881 T(x,y) * (K(y,x) * z) != u * w | u \ (x * z) = w. [para(5740(a,1),374(a,1,2))]. given #4875 (H,wt=20): 5933 T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. [para(4280(a,2),5779(a,1))]. given #4876 (H,wt=20): 5935 K(x,x \ 1) * (y * (x \ 1)) != z | y * (1 / x) = z. [para(2572(a,1),5852(a,1,2)),flip(b)]. given #4877 (H,wt=20): 5936 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2997(a,1),5852(a,1,2)),flip(b)]. given #4878 (H,wt=20): 5950 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4640(a,1),217(a,2)),flip(a)]. given #4879 (H,wt=20): 5971 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(5967(a,1),1409(a,1))]. given #4880 (H,wt=20): 5990 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4818(a,2),4706(a,1))]. given #4881 (H,wt=20): 6043 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(6011(a,1),766(a,1,1))]. given #4882 (H,wt=20): 6048 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(6019(a,2),510(a,1))]. given #4883 (H,wt=20): 6073 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(108(a,1),5835(a,1,2))]. given #4884 (H,wt=20): 6090 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(34,a,4669,a,b,4707,a)]. given #4885 (H,wt=14): 6309 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(33,a,4543,a(flip),b,6090,a),flip(a)]. given #4886 (H,wt=20): 6095 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(116,a,4820,a,b,4671,a(flip))]. given #4887 (H,wt=20): 6096 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4820(a,2),4610(a,2,1)),flip(a)]. given #4888 (H,wt=20): 6097 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4820(a,2),4756(a,2,2)),flip(a)]. given #4889 (H,wt=20): 6098 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(286,a,4636,a(flip),b,4821,a)]. given #4890 (H,wt=20): 6099 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(115,a,4821,a,b,4636,a(flip))]. given #4891 (H,wt=20): 6101 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4821(a,2),4610(a,2,1)),flip(a)]. given #4892 (H,wt=20): 6111 ((x \ 1) \ 1) * (K(y \ 1,y) * z) != x * u | z = u. [para(5525(a,2),42(a,1))]. given #4893 (H,wt=20): 6146 x * T(x \ y,z) != u * y | K((x / y) \ 1,z) = u. [para(5705(a,1),43(a,1))]. given #4894 (H,wt=20): 6159 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5775(a,1),301(a,1,2)),flip(b)]. given #4895 (H,wt=20): 6179 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5987(a,1),232(a,1,2)),flip(b)]. given #4896 (H,wt=20): 6186 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(6001(a,1),2156(a,1))]. given #4897 (H,wt=20): 6208 x \ y != K(z,z \ u) * ((u / z) \ y) | z \ u = x. [para(6184(a,2),47(a,1)),flip(a)]. given #4898 (H,wt=20): 6209 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(6184(a,1),5852(a,1,2)),flip(b)]. given #4899 (H,wt=20): 6227 K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. [para(2723(a,2),6225(a,1))]. given #4900 (H,wt=20): 6232 T(K(x,x \ 1),y) != z * u | z \ K(w,w \ 1) = u. [para(2135(a,2),6217(a,1))]. given #4901 (H,wt=20): 6296 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(6295(a,2),43(a,1))]. given #4902 (H,wt=20): 6302 L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). [para(5839(a,2),4752(a,2,1))]. given #4903 (H,wt=20): 6303 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(115,a,5839,a,b,5855,a)]. given #4904 (H,wt=20): 6313 K(x \ 1,L(x,y,z)) * (u / w) = u / ((w \ 1) \ 1). [para(6309(a,2),5998(a,1,1))]. given #4905 (H,wt=20): 6318 ((x \ 1) \ y) * K(x \ 1,x) != z | (1 / x) \ y = z. [para(2153(a,1),6209(a,1))]. given #4906 (H,wt=20): 6320 L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). [para(10(a,1),6303(a,1,2,2)),flip(a)]. given #4907 (H,wt=21): 4600 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4595(a,1),1764(a,2,2))]. given #4908 (H,wt=21): 4607 (1 / (x * y)) / ((1 / x) * (1 / y)) = K(1 / y,1 / x). [para(32(a,1),4602(a,2,1)),flip(a)]. given #4909 (H,wt=19): 6325 (1 / (x * y)) / (1 / (y * x)) = K(1 / y,1 / x). [para(32(a,1),4607(a,1,2))]. given #4910 (H,wt=19): 6326 ((x * y) \ 1) / (1 / (y * x)) = K(1 / y,1 / x). [para(4885(a,2),6325(a,1,1))]. given #4911 (H,wt=19): 6327 ((x * y) \ 1) / ((y * x) \ 1) = K(1 / y,1 / x). [para(4885(a,2),6326(a,1,2))]. given #4912 (H,wt=19): 6328 ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,1 / x). [hyper(286,a,2930,a,b,6327,a),flip(a)]. given #4913 (H,wt=19): 6329 ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,x \ 1). [hyper(286,a,3318,a,b,6328,a),flip(a)]. given #4914 (H,wt=21): 4733 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4659(a,2),471(a,2,2))]. given #4915 (H,wt=21): 4746 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4667(a,2),439(a,1,2,2))]. given #4916 (H,wt=21): 4747 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4667(a,2),748(a,1,2))]. given #4917 (H,wt=21): 4809 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4226,a,4636,a),flip(a)]. given #4918 (H,wt=21): 4840 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4669(a,1),473(a,1,1,1))]. given #4919 (H,wt=21): 4842 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4669(a,1),3946(a,1,1,2))]. given #4920 (H,wt=17): 6330 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4713(a,1),4842(a,1,2))]. given #4921 (H,wt=15): 6331 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(286,a,4692,a(flip),b,6330,a),flip(a)]. given #4922 (H,wt=21): 4859 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(25(a,2),4684(a,1,1))]. given #4923 (H,wt=21): 4860 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(27(a,2),4684(a,1,1))]. given #4924 (H,wt=21): 4862 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),4728(a,1,2))]. given #4925 (H,wt=21): 5565 K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * T(z,u). [para(4889(a,1),3179(a,1,1))]. given #4926 (H,wt=21): 5645 K(x \ 1,x) * (((y \ 1) * z) \ u) = ((1 / y) * z) \ u. [para(4889(a,1),4395(a,1,1))]. given #4927 (H,wt=21): 5766 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(214(a,1),4675(a,1,2))]. given #4928 (H,wt=21): 5767 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(215(a,1),4675(a,1,2))]. given #4929 (H,wt=21): 5849 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(62,a,3501,a(flip),b,5839,a),flip(a)]. given #4930 (H,wt=21): 5859 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5839(a,1),539(a,1,2))]. given #4931 (H,wt=21): 5891 K(x,T(y,z)) * (K(z,y) * u) = T(T(y,z),x) \ (y * u). [para(5740(a,1),5741(a,1,2))]. given #4932 (H,wt=21): 5915 K(x,R(y \ 1,z,u) \ w) = K(x,R(1 / y,z,u) \ w). [para(4439(a,1),5903(a,1,2)),flip(a)]. given #4933 (H,wt=20): 6335 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(197(a,1),5915(a,2,2,1))]. given #4934 (H,wt=21): 5918 (x * ((y \ 1) * y)) * a(x,y \ 1,y) = R(x,y \ 1,y). [hyper(62,a,81,a,b,4912,a)]. given #4935 (H,wt=17): 6336 (x * 1) * a(x,y \ 1,y) = R(x,y \ 1,y). [para(4888(a,1),5918(a,1,1,2))]. given #4936 (H,wt=21): 5920 L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). [para(4913(a,1),14(a,2,1)),flip(a)]. given #4937 (H,wt=17): 6338 L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). [para(4888(a,1),5920(a,1,2,1))]. given #4938 (H,wt=15): 6339 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(7(a,1),6338(a,1,2))]. given #4939 (H,wt=17): 6341 x * (L(x,y,y \ 1) \ 1) = a(y \ 1,y,x). [hyper(62,a,1237,a,b,6339,a)]. given #4940 (H,wt=21): 5958 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4648(a,1),2068(a,2,1))]. given #4941 (H,wt=21): 6018 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5784(a,1),5811(a,2,1,1))]. given #4942 (H,wt=19): 6343 K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). [para(4804(a,1),6018(a,1,1,1))]. given #4943 (H,wt=21): 6059 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(6054(a,1),470(a,1,1,1)),flip(a)]. given #4944 (H,wt=21): 6089 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4593(a,2),4096(a,1,1))]. given #4945 (H,wt=21): 6125 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [hyper(929,a,5704,a),flip(a)]. given #4946 (H,wt=21): 6130 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(62,a,1496,a(flip),b,5704,a)]. given #4947 (H,wt=21): 6131 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(62,a,872,a(flip),b,5704,a),flip(a)]. given #4948 (H,wt=21): 6134 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [hyper(115,a,1481,a(flip),b,5704,a(flip))]. given #4949 (H,wt=21): 6137 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(22(a,2),5704(a,2,2,1,1))]. given #4950 (H,wt=15): 6349 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(216,a,5706,a(flip),b,6137,a(flip)),flip(a)]. given #4951 (H,wt=15): 6350 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(76(a,1),6349(a,2,1,1))]. given #4952 (H,wt=15): 6351 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2932(a,1),6349(a,2,1))]. given #4953 (H,wt=15): 6352 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2121(a,1),6350(a,1,1))]. given #4954 (H,wt=17): 6354 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(6351(a,1),4794(a,1,2)),flip(a)]. given #4955 (H,wt=20): 6355 1 / T(K(x,y),z) != u | K(y,T(x \ 1,z) \ 1) = u. [para(6351(a,1),4797(a,1,2))]. given #4956 (H,wt=21): 6139 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(286,a,872,a(flip),b,5705,a),flip(a)]. given #4957 (H,wt=21): 6144 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(929,a,5705,a(flip)),flip(a)]. given #4958 (H,wt=21): 6168 L(x \ 1,y,z) \ (u \ 1) = L(1 / x,y,z) \ (1 / u). [para(4570(a,1),5824(a,1,1)),flip(a)]. given #4959 (H,wt=21): 6169 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5833(a,1),23(a,1,1)),flip(a)]. given #4960 (H,wt=21): 6185 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(62,a,144,a(flip),b,6001,a)]. given #4961 (H,wt=21): 6201 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(73(a,1),6045(a,1,2)),flip(a)]. given #4962 (H,wt=21): 6204 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6203(a,1),5961(a,1,2,1))]. given #4963 (H,wt=21): 6215 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3564(a,1),4661(a,1,2,1)),flip(a)]. given #4964 (H,wt=13): 6359 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(286,a,65,a(flip),b,6215,a),flip(a)]. given #4965 (H,wt=21): 6241 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6239(a,1),5839(a,1,1)),flip(a)]. given #4966 (H,wt=21): 6243 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(62,a,1485,a(flip),b,5697,a)]. given #4967 (H,wt=15): 6361 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(62,a,5752,a(flip),b,6243,a),flip(a)]. given #4968 (H,wt=21): 6244 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(824(a,1),5697(a,1,2))]. given #4969 (H,wt=21): 6252 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6249(a,1),5839(a,1,1)),flip(a)]. given #4970 (H,wt=21): 6255 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(76(a,1),5703(a,1,1,1))]. given #4971 (H,wt=21): 6256 K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). [para(5270(a,1),5703(a,1,1))]. given #4972 (H,wt=19): 6365 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(62,a,5528,a(flip),b,6256,a),flip(a)]. given #4973 (H,wt=21): 6258 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(76(a,1),5706(a,2,1,1))]. given #4974 (H,wt=21): 6262 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(62,a,6143,a,b,5742,a)]. given #4975 (H,wt=21): 6272 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [para(4636(a,1),5957(a,2,2)),flip(a)]. given #4976 (H,wt=21): 6274 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4507(a,1),6035(a,1,2))]. given #4977 (H,wt=17): 6367 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(62,a,6275,a(flip),b,6274,a),flip(a)]. given #4978 (H,wt=21): 6294 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4757(a,1),6289(a,1,1,2))]. given #4979 (H,wt=17): 6368 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(9(a,1),6294(a,2,2,2,1))]. given #4980 (H,wt=21): 6305 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(4208,a,5857,a)]. given #4981 (H,wt=21): 6344 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2796(a,1),6059(a,1,1))]. given #4982 (H,wt=21): 6345 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4510,a,6130,a),flip(a)]. given #4983 (H,wt=21): 6353 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6350(a,1),6246(a,1,1)),flip(a)]. given #4984 (H,wt=21): 6356 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(127,a,6144,a),flip(a)]. given #4985 (H,wt=21): 6358 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(3589(a,1),6204(a,1,2,1))]. given #4986 (H,wt=21): 6363 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(121,a,6244,a),flip(a)]. given #4987 (H,wt=21): 6371 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(131,a,6363,a)]. given #4988 (H,wt=17): 6373 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6361(a,1),6371(a,1,2,2))]. given #4989 (H,wt=22): 4762 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4613(a,2),93(a,1,2,2)),flip(a)]. given #4990 (H,wt=22): 4838 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(34,a,1843,a,b,4669,a),flip(a)]. given #4991 (H,wt=20): 6376 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(6179,a,4838,a)]. given #4992 (H,wt=22): 4899 T((x * y) \ z,(y \ (x \ z)) \ 1) = L(y \ (x \ z),y,x). [para(4883(a,1),505(a,1,1)),flip(a)]. given #4993 (H,wt=19): 6378 T((x * y) \ z,(y \ (x \ z)) \ 1) = (x * y) \ z. [hyper(286,a,268,a(flip),b,4899,a),flip(a)]. given #4994 (H,wt=22): 4911 (((x * y) \ 1) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). [para(4885(a,2),113(a,1,1,1))]. given #4995 (H,wt=22): 5662 K(x,y) \ ((x \ 1) * (T(x,y) * z)) = L(z,T(x,y),x \ 1). [para(4917(a,2),18(a,2,1)),flip(a)]. given #4996 (H,wt=22): 5763 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(27(a,2),4675(a,2,1))]. given #4997 (H,wt=22): 5787 ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. [para(4827(a,2),217(a,2))]. given #4998 (H,wt=22): 5838 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),5728(a,1,2,1))]. given #4999 (H,wt=22): 5909 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5892(a,1),171(a,1,2,1))]. given #5000 (H,wt=22): 5917 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3328(a,1),4819(a,1,1))]. given #5001 (H,wt=22): 5948 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(600(a,1),4633(a,1,2,1))]. given #5002 (H,wt=22): 6006 K(x,y) * (z * x) != u * w | u \ (T(x,y) * T(z,x)) = w. [para(5717(a,2),513(a,1))]. given #5003 (H,wt=22): 6039 x * K(y,x \ 1) != z * u | z \ (T(x \ 1,y) \ 1) = u. [para(5999(a,1),374(a,1,2))]. given #5004 (H,wt=22): 6064 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(805(a,1),4861(a,1))]. given #5005 (H,wt=22): 6069 K(x,y \ z) * T(y,y \ z) != u | T(y \ z,x) \ z = u. [para(109(a,2),5747(a,1,2))]. given #5006 (H,wt=22): 6072 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5736(a,1),5765(a,1,2))]. given #5007 (H,wt=22): 6086 K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. [para(2747(a,2),6077(a,1))]. given #5008 (H,wt=22): 6153 K((x / y) \ 1,z / u) != w | K(y / x,(u / z) \ 1) = w. [para(6143(a,2),5972(a,1))]. given #5009 (H,wt=22): 6238 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(105(a,1),6236(a,2,1,1))]. given #5010 (H,wt=20): 6386 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6148(a,1),6238(a,1,1))]. given #5011 (H,wt=22): 6247 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6246(a,1),92(a,1,2))]. given #5012 (H,wt=22): 6257 (x * y) * T((x * y) \ y,z) != u * y | K(x \ 1,z) = u. [para(5706(a,2),43(a,1))]. given #5013 (H,wt=22): 6271 x * ((y * (x \ z)) / y) != z * u | K(y,(z \ x) \ 1) = u. [para(5957(a,1),42(a,1))]. given #5014 (H,wt=22): 6283 T(x * y,z) != u * (y * x) | (y * x) \ T(x * y,z) = u. [para(6234(a,1),43(a,1))]. given #5015 (H,wt=22): 6292 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(6289(a,2),42(a,1))]. given #5016 (H,wt=22): 6293 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(6289(a,1),43(a,1))]. given #5017 (H,wt=22): 6324 L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). [para(4791(a,1),6320(a,2,2))]. given #5018 (H,wt=22): 6379 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(1 / y,1 / x,z). [para(4885(a,2),4911(a,1,2,1))]. given #5019 (H,wt=22): 6380 K(x,y) * ((y \ 1) * (T(y,x) * z)) = L(z,T(y,x),y \ 1). [hyper(5865,a,5662,a)]. given #5020 (H,wt=22): 6381 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(5763(a,1),5844(a,1,2))]. given #5021 (H,wt=22): 6383 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4885(a,2),5917(a,1,1,1,1,2))]. given #5022 (H,wt=22): 6387 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(12(a,1),6386(a,2,1,1,2))]. given #5023 (H,wt=22): 6390 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,1 / x,z). [para(4885(a,2),6379(a,2,1))]. given #5024 (H,wt=22): 6391 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(286,a,4357,a,b,6383,a),flip(a)]. given #5025 (H,wt=22): 6392 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). [para(4885(a,2),6390(a,2,2))]. given #5026 (H,wt=13): 6393 ((x * y) \ 1) / (x \ 1) = y \ 1. [hyper(483,a,6392,a(flip))]. given #5027 (H,wt=13): 6394 (x \ 1) * (y \ 1) = (y * x) \ 1. [hyper(129,a,6393,a)]. given #5028 (H,wt=13): 6395 (x \ 1) / (y \ 1) = (y \ x) \ 1. [para(10(a,1),6393(a,1,1,1))]. given #5029 (H,wt=13): 6403 (x * (y \ 1)) \ 1 = y * (x \ 1). [para(4893(a,1),6394(a,1,1)),flip(a)]. given #5030 (H,wt=13): 6404 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(4893(a,1),6394(a,1,2)),flip(a)]. given #5031 (H,wt=13): 6410 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(4893(a,1),6395(a,1,1)),flip(a)]. given #5032 (H,wt=13): 6411 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [para(4893(a,1),6395(a,1,2)),flip(a)]. given #5033 (H,wt=13): 6414 K(x * (y \ 1),x) = K(y \ x,x). [para(6403(a,1),6361(a,1,1))]. given #5034 (H,wt=13): 6422 (x / (y \ 1)) \ 1 = y \ (x \ 1). [hyper(4906,a,6410,a)]. given #5035 (H,wt=13): 6425 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [hyper(4906,a,6411,a)]. given #5036 (H,wt=13): 6427 K((x \ 1) \ y,y) = K(y * x,y). [hyper(62,a,6016,a(flip),b,6414,a),flip(a)]. given #5037 (H,wt=13): 6428 K(x * (1 / y),x) = K(y \ x,x). [hyper(62,a,5808,a(flip),b,6414,a)]. given #5038 (H,wt=13): 6431 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(4893(a,1),6422(a,1,1,2)),flip(a)]. given #5039 (H,wt=15): 6401 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [para(4781(a,1),6394(a,1,1)),flip(a)]. given #5040 (H,wt=15): 6402 (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). [para(4781(a,1),6394(a,1,2)),flip(a)]. given #5041 (H,wt=15): 6409 (x \ K(y,z)) \ 1 = K(z,y) / (x \ 1). [para(4781(a,1),6395(a,1,1)),flip(a)]. given #5042 (H,wt=15): 6432 K(x,y \ (z \ 1)) = K(x,(y \ 1) / z). [para(6422(a,1),5964(a,1,2))]. given #5043 (H,wt=15): 6434 K(x,(y \ 1) \ z) = K(x,y / (z \ 1)). [para(6425(a,1),5964(a,1,2))]. given #5044 (H,wt=15): 6435 K((x \ 1) \ y,z) = K(x / (y \ 1),z). [para(6425(a,1),6143(a,1,1))]. given #5045 (H,wt=15): 6437 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(6431(a,2),5964(a,1,2))]. given #5046 (H,wt=15): 6442 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [hyper(4903,a,6409,a),flip(a)]. given #5047 (H,wt=15): 6444 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(76(a,1),6442(a,1,2)),flip(a)]. given #5048 (H,wt=15): 6446 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [hyper(175,a,6444,a)]. given #5049 (H,wt=16): 6398 L(x \ 1,y \ 1,y) = y * ((x * y) \ 1). [para(6394(a,1),235(a,1,2)),flip(a)]. given #5050 (H,wt=16): 6405 R(x \ 1,y \ 1,y) = ((y * x) \ 1) * y. [para(6394(a,1),4912(a,1,1)),flip(a)]. given #5051 (H,wt=16): 6412 R(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). [para(458(a,1),6403(a,1,1))]. given #5052 (H,wt=16): 6418 L(x,y,y \ 1) \ 1 = ((y * x) \ 1) * y. [para(4913(a,1),6404(a,1,1))]. given #5053 (H,wt=16): 6430 x \ (y \ 1) != z \ 1 | y / (x \ 1) = z. [para(6422(a,1),47(a,1))]. given #5054 (H,wt=16): 6433 ((x \ 1) \ y) \ 1 != z | (y \ 1) / x = z. [para(6425(a,1),4907(a,1,1))]. given #5055 (H,wt=16): 6448 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(6444(a,1),4765(a,1))]. given #5056 (H,wt=16): 6451 x * (((y * x) \ 1) * y) = a(y \ 1,y,x). [para(6418(a,1),6341(a,1,2))]. given #5057 (H,wt=17): 6400 K(x,((y \ 1) * (z \ 1)) \ 1) = K(x,z * y). [para(6394(a,2),3314(a,1,2,1))]. given #5058 (H,wt=17): 6407 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(6394(a,1),6016(a,1,1))]. given #5059 (H,wt=17): 6408 ((x * y) \ (y * x)) \ 1 = K(x \ 1,y \ 1). [hyper(62,a,6329,a(flip),b,6395,a),flip(a)]. given #5060 (H,wt=13): 6454 K(x \ 1,y \ 1) = K(y,x) \ 1. [para(16(a,2),6408(a,1,1)),flip(a)]. given #5061 (H,wt=11): 6455 K(x \ 1,y \ 1) = K(x,y). [hyper(4795,a,6454,a)]. given #5062 (H,wt=10): 6459 L(x,y \ 1,K(y,z)) = x. [para(6455(a,1),3870(a,1,3))]. given #5063 (H,wt=11): 6458 K(x \ 1,y) = K(x,y \ 1). [hyper(62,a,3314,a(flip),b,6455,a)]. given #5064 (H,wt=10): 6469 L(x,K(y,z \ 1),z) = x. [para(6458(a,1),6055(a,1,2))]. given #5065 (H,wt=13): 6457 K(x / y,z \ 1) = K(y / x,z). [hyper(62,a,6143,a(flip),b,6455,a)]. given #5066 (H,wt=13): 6461 K(x \ (y \ x),x) = K(y,x \ 1). [hyper(62,a,6155,a,b,6458,a)]. given #5067 (H,wt=13): 6464 x \ K(x,y \ 1) = T(x \ 1,y). [hyper(115,a,6458,a(flip),b,4615,a)]. given #5068 (H,wt=14): 6456 K(x \ 1,y \ 1) != z | K(x,y) = z. [para(6454(a,2),4783(a,1))]. given #5069 (H,wt=14): 6475 K(x,y \ 1) != z | K(x \ 1,y) = z. [para(2932(a,1),6456(a,1))]. given #5070 (H,wt=14): 6476 K(x \ 1,y) != z | K(x,y \ 1) = z. [para(3314(a,1),6456(a,1))]. given #5071 (H,wt=14): 6479 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6458(a,1),6456(a,1))]. given #5072 (H,wt=14): 6480 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(6458(a,2),6456(a,1))]. given #5073 (H,wt=12): 6489 T(K(x,y),x) != z | K(x,y) = z. [para(2706(a,2),6480(a,1))]. given #5074 (H,wt=14): 6482 K(1 / x,y) != z | K(x,y \ 1) = z. [para(2930(a,1),6476(a,1))]. given #5075 (H,wt=14): 6487 K(x \ 1,y) != z | K(1 / x,y) = z. [para(76(a,1),6480(a,1,1,1))]. given #5076 (H,wt=14): 6488 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(109(a,2),6480(a,1,1))]. given #5077 (H,wt=15): 6462 K(x \ 1,y) * z = K(x,y \ 1) * z. [hyper(56,a,6458,a)]. given #5078 (H,wt=16): 6478 K(x / y,z \ 1) != u | K(y / x,z) = u. [para(6143(a,1),6456(a,1))]. given #5079 (H,wt=16): 6481 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(6457(a,1),6475(a,1))]. given #5080 (H,wt=16): 6491 K(x / y,z) != u | K(1 / (y / x),z) = u. [para(6143(a,1),6487(a,1))]. given #5081 (H,wt=16): 6492 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(6150(a,2),6487(a,1))]. given #5082 (H,wt=16): 6493 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(6458(a,2),6478(a,1))]. given #5083 (H,wt=16): 6495 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(2930(a,1),6493(a,1))]. given #5084 (H,wt=17): 6438 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(4781(a,1),6401(a,2,2))]. given #5085 (H,wt=17): 6440 ((T(x,y) * z) \ 1) * K(x,y) = (x * z) \ 1. [para(4644(a,1),6402(a,1,1)),flip(a)]. given #5086 (H,wt=17): 6441 ((T(x,y) \ z) \ 1) * K(y,x) = (x \ z) \ 1. [para(5715(a,1),6402(a,1,1)),flip(a)]. given #5087 (H,wt=17): 6452 x * R(x \ 1,y \ 1,y) = a(y \ 1,y,x). [para(6405(a,2),6451(a,1,2))]. given #5088 (H,wt=17): 6453 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(10(a,1),6407(a,2,1))]. given #5089 (H,wt=17): 6460 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(6459(a,1),3236(a,1,2)),flip(a)]. given #5090 (H,wt=17): 6463 x \ K(x * y,y \ 1) = (y \ (x \ 1)) * y. [hyper(115,a,6458,a(flip),b,6242,a)]. given #5091 (H,wt=17): 6466 K(x,y \ 1) * (y \ z) = T(y,x \ 1) \ z. [para(6458(a,1),5741(a,1,1))]. given #5092 (H,wt=15): 6499 T(x,y \ 1) \ y = x \ T(y,x \ 1). [hyper(62,a,6123,a(flip),b,6466,a),flip(a)]. given #5093 (H,wt=17): 6497 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [para(4893(a,1),6453(a,1,1,1,1,1,1))]. given #5094 (H,wt=17): 6498 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(236(a,2),6460(a,1,2))]. given #5095 (H,wt=15): 6500 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2615,a,6498,a)]. given #5096 (H,wt=18): 6439 x \ 1 != (y \ 1) * K(z,u) | K(u,z) * y = x. [para(6402(a,1),47(a,1)),flip(a)]. given #5097 (H,wt=18): 6443 K(x,y) / (z \ 1) != u | 1 / (z \ K(y,x)) = u. [para(6409(a,1),4903(a,1))]. given #5098 (H,wt=18): 6445 K(x,y) / (z \ 1) != u | (z \ K(y,x)) \ 1 = u. [para(6442(a,2),4898(a,1))]. given #5099 (H,wt=18): 6447 K(x,y) / z != 1 / u | (1 / z) \ K(y,x) = u. [para(6444(a,1),44(a,1))]. given #5100 (H,wt=18): 6483 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2122(a,1),6479(a,1,2))]. given #5101 (H,wt=19): 6415 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(6403(a,1),6394(a,1,1)),flip(a)]. given #5102 (H,wt=19): 6416 ((x * (y \ 1)) * z) \ 1 = (z \ 1) * (y * (x \ 1)). [para(6403(a,1),6394(a,1,2)),flip(a)]. given #5103 (H,wt=19): 6417 (x \ (y * (z \ 1))) \ 1 = (z * (y \ 1)) / (x \ 1). [para(6403(a,1),6395(a,1,1)),flip(a)]. given #5104 (H,wt=19): 6419 (x * ((y \ 1) * z)) \ 1 = ((z \ 1) * y) * (x \ 1). [para(6404(a,1),6394(a,1,1)),flip(a)]. given #5105 (H,wt=19): 6420 (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). [para(6404(a,1),6394(a,1,2)),flip(a)]. given #5106 (H,wt=19): 6421 (x \ ((y \ 1) * z)) \ 1 = ((z \ 1) * y) / (x \ 1). [para(6404(a,1),6395(a,1,1)),flip(a)]. given #5107 (H,wt=19): 6423 (x * (y \ (z \ 1))) \ 1 = (z / (y \ 1)) * (x \ 1). [para(6410(a,1),6394(a,1,1)),flip(a)]. given #5108 (H,wt=19): 6424 (x * (y / (z \ 1))) \ 1 = (z \ (y \ 1)) * (x \ 1). [para(6410(a,1),6403(a,1,1,2))]. given #5109 (H,wt=19): 6426 (((x \ 1) / y) * z) \ 1 = (z \ 1) * ((y \ 1) \ x). [para(6411(a,1),6404(a,1,1,1))]. given #5110 (H,wt=19): 6429 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4757(a,1),6414(a,1,1,2)),flip(a)]. given #5111 (H,wt=19): 6436 ((x * (y \ 1)) / z) \ 1 = (z \ 1) \ (y * (x \ 1)). [para(6403(a,1),6425(a,1,1,1))]. given #5112 (H,wt=19): 6450 x \ 1 != ((y * z) \ 1) * y | L(z,y,y \ 1) = x. [para(6418(a,1),47(a,1)),flip(a)]. given #5113 (H,wt=19): 6467 (x * K(y,x \ 1)) \ z = K(x,y \ 1) * (x \ z). [para(6458(a,1),6004(a,1,1,2))]. given #5114 (H,wt=19): 6471 ((x * y) \ x) * (x * y) = x * K(y,(x * y) \ 1). [para(6458(a,1),5702(a,2,2))]. given #5115 (H,wt=19): 6472 K(x,y \ 1) * (x \ z) = z * T(z \ (x \ z),y). [para(6458(a,1),5703(a,1,1))]. given #5116 (H,wt=19): 6474 (x * K(y,x \ 1)) * z = x * (K(y,x \ 1) * z). [hyper(1145,a,6469,a),flip(a)]. given #5117 (H,wt=20): 6470 K(x,y \ 1) * (y \ z) != u | T(y,x \ 1) \ z = u. [para(6458(a,1),5747(a,1,1))]. given #5118 (H,wt=20): 6484 K(x,(y \ 1) \ 1) != z | K(K(u,u \ 1) * x,y) = z. [para(5198(a,1),6479(a,1))]. given #5119 (H,wt=21): 6413 (x * (R(y,z,u) \ y)) \ 1 = (y \ R(y,z,u)) * (x \ 1). [para(6203(a,1),6403(a,1,1,2))]. given #5120 (H,wt=21): 6490 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(2905(a,2),6487(a,1))]. given #5121 (H,wt=21): 6494 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3867(a,2),6481(a,1))]. given #5122 (H,wt=21): 6503 ((x \ ((y \ 1) * x)) \ 1) * (y \ z) = K(x \ 1,y) * z. [para(6421(a,2),5739(a,1,1))]. given #5123 (H,wt=19): 6507 (T(x \ 1,y) \ 1) * (x \ z) = K(y \ 1,x) * z. [para(22(a,2),6503(a,1,1,1))]. given #5124 (H,wt=21): 6508 (T(x,y) \ 1) * ((x \ 1) \ z) = K(y \ 1,x \ 1) * z. [para(4893(a,1),6507(a,1,1,1,1))]. given #5125 (H,wt=17): 6509 (T(x,y) \ 1) * ((x \ 1) \ z) = K(y,x) * z. [para(6455(a,1),6508(a,2,1))]. given #5126 (H,wt=17): 6510 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [para(9(a,1),6509(a,1,2)),flip(a)]. given #5127 (H,wt=19): 6511 T(x,y) \ (x * ((x \ 1) * z)) = (T(x,y) \ 1) * z. [hyper(62,a,5740,a,b,6510,a)]. given #5128 (H,wt=18): 6514 T(x,y) \ L(z,x \ 1,x) = (T(x,y) \ 1) * z. [para(235(a,1),6511(a,1,2))]. given #5129 (H,wt=17): 6515 L(x,T(y,z) \ 1,T(y,z)) = L(x,y \ 1,y). [hyper(757,a,6514,a),flip(a)]. given #5130 (H,wt=15): 6518 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(62,a,4221,a(flip),b,6515,a)]. given #5131 (H,wt=18): 6516 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [hyper(131,a,6514,a)]. given #5132 (H,wt=20): 6512 (T(x,y) \ 1) * (T(x,y) * z) = L(z,T(x,y),x \ 1). [hyper(62,a,6380,a(flip),b,6510,a),flip(a)]. given #5133 (H,wt=19): 6524 L(x,T(y,z),T(y,z) \ 1) = L(x,T(y,z),y \ 1). [hyper(5922,a,6512,a)]. given #5134 (H,wt=21): 6519 L(x,y \ 1,y) != T(y,z) * u | (T(y,z) \ 1) * x = u. [para(6515(a,1),500(a,1))]. given #5135 (H,wt=21): 6522 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(62,a,4286,a(flip),b,6518,a)]. given #5136 (H,wt=22): 6396 (x * (y \ 1)) \ (x * ((z * y) \ 1)) = L(z \ 1,y \ 1,x). [para(6394(a,1),18(a,2,2,2)),flip(a)]. given #5137 (H,wt=22): 6449 (x \ 1) \ R(x \ 1,y \ 1,y) = x * (((y * x) \ 1) * y). [para(6405(a,1),3561(a,2,2))]. given #5138 (H,wt=18): 6526 x * (((y * x) \ 1) * y) = a(x \ 1,y \ 1,y). [hyper(62,a,3501,a(flip),b,6449,a),flip(a)]. given #5139 (H,wt=15): 6527 a(x \ 1,y \ 1,y) = a(y \ 1,y,x). [hyper(62,a,6451,a(flip),b,6526,a),flip(a)]. given #5140 (H,wt=15): 6528 a(x \ 1,x,y \ 1) = a(y,x \ 1,x). [para(4893(a,1),6527(a,1,1)),flip(a)]. given #5141 (H,wt=22): 6485 K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. [para(5819(a,1),6479(a,1,2))]. given #5142 (H,wt=22): 6486 K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. [para(6300(a,1),6479(a,1,2))]. given #5143 (H,wt=22): 6517 ((x \ y) \ y) \ L(z,x \ 1,x) = (T(x,x \ y) \ 1) * z. [para(109(a,1),6514(a,1,1))]. given #5144 (H,wt=22): 6529 K(x,y / ((z \ 1) * u)) != w | K(x,y / ((1 / z) * u)) = w. [para(76(a,1),6486(a,1,2,2,1,1))]. given #5145 (H,wt=23): 4751 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(92(a,1),4605(a,1,2))]. given #5146 (H,wt=23): 4767 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4619(a,1),1938(a,1,2,1))]. given #5147 (H,wt=23): 4815 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(104(a,1),4636(a,1,1))]. given #5148 (H,wt=23): 4830 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(859(a,1),4647(a,2,1)),flip(a)]. given #5149 (H,wt=23): 4835 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4650(a,2),439(a,1,2,2))]. given #5150 (H,wt=23): 4924 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 != u | a(x,y,z) = u. [para(4893(a,2),655(a,1))]. given #5151 (H,wt=23): 5895 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(2234(a,1),5745(a,1,2))]. given #5152 (H,wt=23): 5899 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5781(a,1),213(a,1,2,1))]. given #5153 (H,wt=23): 5949 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(116,a,804,a(flip),b,4640,a)]. given #5154 (H,wt=23): 6113 ((x \ 1) \ 1) * (y / T(z,u)) = x * (y / T(1 / (1 / z),u)). [para(3135(a,1),5525(a,1,2))]. given #5155 (H,wt=23): 6127 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(815,a,5704,a),flip(a)]. given #5156 (H,wt=21): 6533 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [hyper(286,a,202,a(flip),b,6127,a),flip(a)]. given #5157 (H,wt=23): 6162 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(612(a,1),6161(a,1,1))]. given #5158 (H,wt=23): 6181 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5704(a,2),5987(a,1,2,1))]. given #5159 (H,wt=23): 6182 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5775(a,1),5989(a,1,1,1))]. given #5160 (H,wt=23): 6219 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4825(a,2),4022(a,1,1))]. given #5161 (H,wt=23): 6233 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(34,a,4669,a,b,4715,a)]. given #5162 (H,wt=23): 6240 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6237(a,1),6236(a,1,1)),flip(a)]. given #5163 (H,wt=23): 6245 x * (y \ ((z \ (y * (x \ 1))) * z)) = K((x * (y \ z)) \ 1,z). [para(1256(a,1),5697(a,1,2))]. given #5164 (H,wt=23): 6260 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(824(a,1),5707(a,1,2))]. given #5165 (H,wt=23): 6263 x / ((y * K(z,y)) * ((z \ 1) \ 1)) = (1 / (1 / x)) / (z * y). [para(4669(a,1),5801(a,1,2)),flip(a)]. given #5166 (H,wt=19): 6536 (1 / (1 / x)) / (y * z) = x / (((y \ 1) \ 1) * z). [para(4712(a,1),6263(a,1,2)),flip(a)]. given #5167 (H,wt=23): 6270 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2216(a,1),5954(a,1,1))]. given #5168 (H,wt=23): 6286 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(76(a,1),6261(a,1,2,1,1))]. given #5169 (H,wt=19): 6539 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(76(a,1),6286(a,2,1,1))]. given #5170 (H,wt=19): 6540 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),6539(a,1,2,2)),flip(a)]. given #5171 (H,wt=19): 6542 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(116,a,6540,a,b,xx)]. given #5172 (H,wt=23): 6287 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2932(a,1),6261(a,1,2,1))]. given #5173 (H,wt=19): 6546 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2932(a,1),6287(a,2,1))]. given #5174 (H,wt=19): 6548 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),6546(a,1,2,2)),flip(a)]. given #5175 (H,wt=22): 6551 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6548(a,2),235(a,1,2))]. given #5176 (H,wt=20): 6552 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5835,a,6551,a),flip(a)]. given #5177 (H,wt=20): 6553 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5846(a,1),6552(a,1,1)),flip(a)]. given #5178 (H,wt=17): 6554 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [hyper(33,a,6516,a,b,6553,a),flip(a)]. given #5179 (H,wt=15): 6555 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4667(a,2),6554(a,1,2)),flip(a)]. given #5180 (H,wt=17): 6556 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(4671(a,2),6554(a,1,2))]. given #5181 (H,wt=23): 6291 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4781(a,1),6279(a,1,2,2,1,1,2))]. given #5182 (H,wt=23): 6311 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(6090(a,1),2789(a,1,1))]. given #5183 (H,wt=23): 6314 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(6098(a,1),301(a,1,2)),flip(b)]. given #5184 (H,wt=23): 6333 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(3999,a,5766,a(flip)),flip(a)]. given #5185 (H,wt=23): 6334 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4000,a,5767,a(flip)),flip(a)]. given #5186 (H,wt=23): 6348 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3593(a,1),6134(a,1,2)),flip(a)]. given #5187 (H,wt=23): 6362 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5704(a,1),6243(a,1,1))]. given #5188 (H,wt=23): 6364 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(76(a,1),6244(a,1,2,2,1,2)),flip(a)]. given #5189 (H,wt=23): 6496 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6387(a,2),6493(a,1))]. given #5190 (H,wt=23): 6531 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1841,a,4815,a),flip(a)]. given #5191 (H,wt=22): 6564 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4779(a,1),6531(a,1,2)),flip(a)]. given #5192 (H,wt=20): 6565 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(286,a,4809,a(flip),b,6564,a),flip(a)]. given #5193 (H,wt=23): 6532 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5729(a,1),5949(a,1,1,2)),flip(a)]. given #5194 (H,wt=23): 6549 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(22(a,2),6546(a,1,2,2))]. given #5195 (H,wt=23): 6557 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5704(a,2),6291(a,1,2))]. given #5196 (H,wt=23): 6558 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6128(a,1),6291(a,1,2)),flip(a)]. given #5197 (H,wt=23): 6563 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(4885(a,2),6364(a,1,1,1,1))]. given #5198 (H,wt=23): 6567 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(5864,a,6532,a)]. given #5199 (H,wt=21): 6573 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1120(a,1),6567(a,1,1,2))]. given #5200 (H,wt=21): 6576 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5851,a,6573,a),flip(a)]. given #5201 (H,wt=19): 6578 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(115,a,68,a(flip),b,6576,a),flip(a)]. given #5202 (H,wt=21): 6577 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5846(a,1),6573(a,1,2,2)),flip(a)]. given #5203 (H,wt=23): 6568 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(121,a,6557,a)]. given #5204 (H,wt=23): 6581 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6568(a,1),4475(a,1,1))]. given #5205 (H,wt=23): 6582 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),6581(a,1,1,2,1)),flip(a)]. given #5206 (H,wt=24): 4828 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4636(a,1),4226(a,1))]. given #5207 (H,wt=24): 4839 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(4669(a,1),14(a,2,1,2)),flip(a)]. given #5208 (H,wt=24): 5710 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(4615(a,1),2241(a,2,1,2))]. given #5209 (H,wt=21): 6584 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(62,a,4558,a(flip),b,5710,a)]. given #5210 (H,wt=19): 6585 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4642(a,1),6584(a,1,2)),flip(a)]. given #5211 (H,wt=10): 6586 R(x,K(y \ 1,z),z) = x. [hyper(2817,a,6585,a)]. given #5212 (H,wt=8): 6587 R(x,K(y,z),z) = x. [para(76(a,1),6586(a,1,2,1))]. given #5213 (H,wt=11): 6588 R(x,K(y,z),z) != u | x = u. [para(6587(a,1),50(a,2))]. given #5214 (H,wt=15): 6589 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6587(a,1),2814(a,1,1)),flip(a)]. given #5215 (H,wt=15): 6590 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(121,a,6589,a)]. given #5216 (H,wt=12): 6591 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(684,a,6590,a)]. given #5217 (H,wt=8): 6593 L(x,K(y,x),z) = x. [para(2786(a,1),6591(a,1,1))]. given #5218 (H,wt=18): 6592 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(6590(a,1),232(a,1,2)),flip(b)]. given #5219 (H,wt=19): 6594 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6593(a,1),432(a,1,2,1))]. given #5220 (H,wt=10): 6601 R(x,K(y,z),T(z,u)) = x. [hyper(471,a,6594,a)]. given #5221 (H,wt=13): 6602 (x * K(y,z)) * T(z,y) = x * z. [para(4630(a,1),6594(a,2,2))]. given #5222 (H,wt=13): 6603 (x / T(y,z)) * y = x * K(z,y). [hyper(1188,a,6602,a)]. given #5223 (H,wt=13): 6604 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(121,a,6602,a)]. given #5224 (H,wt=13): 6605 (x / y) * K(z,y) = x / T(y,z). [hyper(116,a,12,a(flip),b,6602,a),flip(a)]. given #5225 (H,wt=11): 6619 T(x / y,K(x,y)) = x / y. [hyper(216,a,6605,a,b,5892,a)]. given #5226 (H,wt=13): 6608 (x \ y) * K(y,x) = x \ T(y,x). [hyper(34,a,4167,a,b,6602,a),flip(a)]. given #5227 (H,wt=13): 6609 (x * (y / x)) * K(x \ y,x) = y. [hyper(34,a,3971,a(flip),b,6602,a),flip(a)]. given #5228 (H,wt=13): 6610 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,1169,a(flip),b,6602,a),flip(a)]. given #5229 (H,wt=13): 6613 (x * K(y,z)) / z = x / T(z,y). [hyper(127,a,6603,a)]. given #5230 (H,wt=13): 6618 (x / y) * K(x,y) = T(x,y) / y. [hyper(286,a,3926,a,b,6605,a),flip(a)]. given #5231 (H,wt=15): 6606 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(115,a,10,a(flip),b,6602,a)]. given #5232 (H,wt=15): 6612 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(216,a,6603,a,b,10,a)]. given #5233 (H,wt=15): 6623 x \ T(x * y,x) = y * K(x * y,x). [para(9(a,1),6608(a,1,1)),flip(a)]. given #5234 (H,wt=15): 6624 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(115,a,10,a(flip),b,6610,a)]. given #5235 (H,wt=15): 6636 x * (y * K(x * y,x)) = T(x * y,x). [hyper(131,a,6623,a)]. given #5236 (H,wt=16): 6611 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(6602(a,1),301(a,1,2)),flip(b)]. given #5237 (H,wt=16): 6625 x * K(y,z) != u * z | u * T(z,y) = x. [para(6610(a,1),43(a,1)),flip(a)]. given #5238 (H,wt=16): 6627 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(6610(a,1),301(a,1,2)),flip(b)]. given #5239 (H,wt=17): 6626 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(109(a,1),6610(a,1,1,2))]. given #5240 (H,wt=15): 6646 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(34,a,4161,a,b,6626,a),flip(a)]. given #5241 (H,wt=17): 6630 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(110(a,1),6613(a,2,2))]. given #5242 (H,wt=17): 6639 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(824(a,1),6624(a,1,1))]. given #5243 (H,wt=18): 6635 T(x \ y,z) != u \ y | x * K(z,x \ y) = u. [para(6606(a,1),47(a,1))]. given #5244 (H,wt=18): 6644 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(10(a,1),6627(a,1,2))]. given #5245 (H,wt=19): 6615 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3893(a,1),6603(a,1,1))]. given #5246 (H,wt=19): 6633 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6230,a,6618,a)]. given #5247 (H,wt=16): 6652 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5942(a,1),6633(a,1,2))]. given #5248 (H,wt=19): 6642 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1496(a,1),6624(a,1,1))]. given #5249 (H,wt=19): 6648 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(3056(a,1),6630(a,1,1))]. given #5250 (H,wt=19): 6649 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(12(a,1),6639(a,1,1,2,1)),flip(a)]. given #5251 (H,wt=19): 6650 K(x,((y \ z) \ 1) \ y) = (T(z,x) / (y \ z)) \ y. [para(4461(a,1),6639(a,1,1)),flip(a)]. given #5252 (H,wt=20): 6621 x / T(y,z) != K(z,y) * u | T(x / y,K(z,y)) = u. [para(6605(a,1),217(a,2)),flip(a)]. given #5253 (H,wt=21): 6595 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6593(a,1),433(a,1,2,1))]. given #5254 (H,wt=21): 6596 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6593(a,1),434(a,1,2,1))]. given #5255 (H,wt=11): 6656 R(x,K(y,z),L(z,u,w)) = x. [hyper(471,a,6596,a)]. given #5256 (H,wt=21): 6620 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(115,a,6605,a(flip),b,6044,a(flip)),flip(a)]. given #5257 (H,wt=21): 6640 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(805(a,1),6624(a,1,1))]. given #5258 (H,wt=22): 6597 (x * K(y,z)) * T(z,u) != w | x * (K(y,z) * T(z,u)) = w. [para(6593(a,1),740(a,1,2,1))]. given #5259 (H,wt=22): 6655 K(x,((y \ z) \ 1) \ y) != u \ y | T(z,x) / (y \ z) = u. [para(6650(a,2),47(a,1))]. given #5260 (H,wt=23): 6641 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1306(a,1),6624(a,1,1))]. given #5261 (H,wt=23): 6643 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1962(a,1),6624(a,1,1))]. given #5262 (H,wt=23): 6660 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5729(a,1),6643(a,1,1,1)),flip(a)]. given #5263 (H,wt=23): 6661 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(131,a,6660,a(flip))]. given #5264 (H,wt=24): 5773 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4692(a,1),20(a,2,2)),flip(a)]. given #5265 (H,wt=24): 5792 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4856(a,1),18(a,2,1)),flip(a)]. given #5266 (H,wt=24): 5860 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5839(a,1),323(a,1,1,3))]. given #5267 (H,wt=24): 5871 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5846(a,1),94(a,2,1))]. given #5268 (H,wt=24): 5872 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5846(a,1),104(a,1,2))]. given #5269 (H,wt=24): 5908 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5892(a,1),92(a,1,1))]. given #5270 (H,wt=24): 5932 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(225(a,1),5779(a,1,2))]. given #5271 (H,wt=24): 5937 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3576(a,2),5852(a,1,2)),flip(b)]. given #5272 (H,wt=24): 6024 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5885(a,1),104(a,2,1))]. given #5273 (H,wt=24): 6057 (K(x,y) * z) * u != (y * K(x,y)) * z | T(y,K(x,y) * z) = u. [para(6041(a,2),217(a,2))]. given #5274 (H,wt=24): 6070 K(x,T(y,z)) * (K(z,y) * u) != w | T(T(y,z),x) \ (y * u) = w. [para(5740(a,1),5747(a,1,2))]. given #5275 (H,wt=24): 6102 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4821(a,2),6011(a,1,1)),flip(a)]. given #5276 (H,wt=24): 6138 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) != u | T(x,z) / y = u. [para(5704(a,1),929(a,1))]. given #5277 (H,wt=24): 6220 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(25(a,2),5768(a,1,2))]. given #5278 (H,wt=24): 6222 K(x \ 1,x) * (y / (x \ 1)) != z * u | z \ (y / (1 / x)) = u. [para(2653(a,1),5858(a,1,2))]. given #5279 (H,wt=24): 6259 (x * y) * T((x * y) \ y,z) != y * u | T(K(x \ 1,z),y) = u. [para(5706(a,2),217(a,2)),flip(a)]. given #5280 (H,wt=24): 6317 K(x \ y,x) * T(z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(22(a,2),6209(a,1,2))]. given #5281 (H,wt=24): 6346 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(6130(a,2),301(a,1,2)),flip(b)]. given #5282 (H,wt=24): 6372 x * (y \ T(y * (x \ 1),z)) != u | K((x * (y \ 1)) \ 1,z) = u. [para(6363(a,2),232(a,1,2)),flip(b)]. given #5283 (H,wt=24): 6384 (x * T(x \ y,z)) * (y \ 1) != u | K((x * (y \ 1)) \ 1,z) = u. [para(1485(a,1),6064(a,1))]. given #5284 (H,wt=24): 6397 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). [para(6394(a,1),20(a,2,2)),flip(a)]. given #5285 (H,wt=24): 6566 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(10(a,1),6565(a,1,1,1)),flip(a)]. given #5286 (H,wt=20): 6667 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3991(a,1),6566(a,1,1)),flip(a)]. given #5287 (H,wt=18): 6668 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(286,a,3674,a(flip),b,6667,a),flip(a)]. given #5288 (H,wt=24): 6651 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(805(a,1),6644(a,1,1))]. given #5289 (H,wt=24): 6662 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5846(a,1),5792(a,1,2,2)),flip(a)]. given #5290 (H,wt=24): 6665 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(6348(a,2),6346(a,1))]. given #5291 (H,wt=24): 6666 ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). [hyper(62,a,6417,a,b,6397,a)]. given #5292 (H,wt=22): 6670 ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). [para(6403(a,1),6666(a,1,1,2,2))]. given #5293 (H,wt=17): 6671 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(18(a,2),6670(a,1,1)),flip(a)]. given #5294 (H,wt=14): 6673 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [para(6671(a,1),3564(a,1,2,2))]. given #5295 (H,wt=13): 6674 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(195(a,1),6673(a,1,2,2,1))]. given #5296 (H,wt=17): 6672 R(x,y \ 1,z \ 1) \ 1 = L(x \ 1,y,z). [hyper(4906,a,6671,a(flip))]. given #5297 (H,wt=17): 6676 L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ 1. [para(4344(a,1),6672(a,1,1)),flip(a)]. given #5298 (H,wt=17): 6677 L(x \ 1,y \ 1,z) = R(x,y,z \ 1) \ 1. [para(4893(a,1),6672(a,1,1,2)),flip(a)]. given #5299 (H,wt=17): 6678 L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. [para(4893(a,1),6676(a,2,1,2))]. given #5300 (H,wt=10): 6684 R(x,y,K(z,y \ 1)) = x. [hyper(4085,a,6678,a),flip(a)]. given #5301 (H,wt=8): 6689 R(x,y,K(z,y)) = x. [para(6455(a,1),6684(a,1,3))]. given #5302 (H,wt=13): 6685 R(x,(y \ 1) \ 1,z) = R(x,y,z). [hyper(38,a,6676,a(flip),b,6678,a(flip))]. given #5303 (H,wt=13): 6691 R(x,y \ 1,z) = R(x,1 / y,z). [para(76(a,1),6685(a,1,2,1))]. given #5304 (H,wt=15): 6690 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6689(a,1),104(a,1,1)),flip(a)]. given #5305 (H,wt=10): 6694 L(K(x,y),y,z) = K(x,y). [hyper(435,a,6690,a)]. given #5306 (H,wt=8): 6699 a(x,y,K(z,y)) = 1. [hyper(52,a,6694,a)]. given #5307 (H,wt=10): 6701 a(x,y \ 1,K(z,y)) = 1. [para(6455(a,1),6699(a,1,3))]. given #5308 (H,wt=12): 6702 L(K(x,y),y \ 1,z) = K(x,y). [hyper(51,a,6701,a)]. given #5309 (H,wt=14): 6705 L(K(x,1 / y),y,z) = K(x,1 / y). [para(76(a,1),6702(a,1,2))]. given #5310 (H,wt=15): 6695 (x * y) * K(z,y) = x * ((z * y) / z). [para(4636(a,2),6690(a,2,2))]. given #5311 (H,wt=16): 6700 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6694(a,1),30(a,1,1)),flip(a)]. given #5312 (H,wt=16): 6709 (1 / x) * ((y * x) / y) != z | K(y,x) = z. [para(6695(a,1),185(a,1))]. given #5313 (H,wt=17): 6681 R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1. [hyper(3419,a,6677,a),flip(a)]. given #5314 (H,wt=17): 6686 L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. [para(4893(a,1),6678(a,1,1))]. given #5315 (H,wt=17): 6696 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4672(a,1),6690(a,2,2))]. given #5316 (H,wt=17): 6708 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(512,a,6695,a)]. given #5317 (H,wt=13): 6717 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(33,a,5957,a,b,6708,a)]. given #5318 (H,wt=12): 6734 R(x,y \ z,K(u,z \ y)) = x. [para(6717(a,1),6684(a,1,3))]. given #5319 (H,wt=13): 6718 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(33,a,5898,a,b,6708,a)]. given #5320 (H,wt=13): 6719 K(x,(y * z) \ y) = K(x,z \ 1). [para(9(a,1),6717(a,1,2,1)),flip(a)]. given #5321 (H,wt=13): 6720 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),6717(a,2,2))]. given #5322 (H,wt=13): 6722 K(x,y \ (y / z)) = K(x,z \ 1). [para(76(a,1),6717(a,1,2,1)),flip(a)]. given #5323 (H,wt=15): 6728 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(6717(a,1),4659(a,2,2))]. given #5324 (H,wt=13): 6745 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(4730,a,6728,a),flip(a)]. given #5325 (H,wt=13): 6748 T(x,1 / (y \ z)) = T(x,z \ y). [hyper(6083,a,6745,a)]. given #5326 (H,wt=13): 6753 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),6745(a,1,2,1)),flip(a)]. given #5327 (H,wt=13): 6754 T(x,((y * z) \ y) \ 1) = T(x,z). [para(9(a,1),6745(a,2,2))]. given #5328 (H,wt=13): 6759 T(x,y \ (y / z)) = T(x,1 / z). [para(76(a,1),6748(a,1,2,2)),flip(a)]. given #5329 (H,wt=13): 6761 T(K(x,y),(z * y) \ z) = K(x,y). [hyper(286,a,2230,a(flip),b,6753,a),flip(a)]. given #5330 (H,wt=13): 6766 T(x,(x / y) / x) = T(x,1 / y). [hyper(62,a,3932,a(flip),b,6759,a)]. given #5331 (H,wt=15): 6732 K(x,y / z) * y = y * K(x,z \ y). [para(6717(a,1),6295(a,1,2)),flip(a)]. given #5332 (H,wt=13): 6767 T(K(x,y / z),y) = K(x,z \ y). [hyper(216,a,6732,a,b,xx)]. given #5333 (H,wt=11): 6770 K(x,y \ x) = K(x,x / y). [hyper(6489,a,6767,a),flip(a)]. given #5334 (H,wt=11): 6773 K(x,(y \ x) \ x) = K(x,y). [para(73(a,1),6770(a,2,2))]. given #5335 (H,wt=13): 6771 K(x,(y \ z) \ z) = T(K(x,y),z). [para(73(a,1),6767(a,1,1,2)),flip(a)]. given #5336 (H,wt=12): 6776 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6771(a,1),2955(a,1,2,1))]. given #5337 (H,wt=13): 6774 K(x * y,T(y,x)) = K(x * y,y). [para(3948(a,2),6773(a,1,2))]. given #5338 (H,wt=13): 6775 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(62,a,1723,a,b,6771,a)]. given #5339 (H,wt=13): 6777 T(K(x,y),z * y) = K(x,T(y,z)). [para(3948(a,2),6771(a,1,2)),flip(a)]. given #5340 (H,wt=13): 6778 T(K(x,y),y * z) = K(x,T(y,z)). [para(9(a,1),6775(a,1,2,2)),flip(a)]. given #5341 (H,wt=13): 6779 K(x * y,T(x,y)) = K(x * y,x). [hyper(62,a,4485,a(flip),b,6777,a),flip(a)]. given #5342 (H,wt=15): 6743 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(286,a,5968,a,b,6722,a),flip(a)]. given #5343 (H,wt=15): 6750 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [hyper(286,a,4629,a(flip),b,6745,a),flip(a)]. given #5344 (H,wt=13): 6782 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4696,a,6750,a)]. given #5345 (H,wt=13): 6786 K(1 / (x \ y),z) = K(y \ x,z). [hyper(6487,a,6782,a)]. given #5346 (H,wt=13): 6787 K(x \ y,z \ 1) = K(y \ x,z). [hyper(6476,a,6782,a)]. given #5347 (H,wt=13): 6788 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(286,a,631,a(flip),b,6782,a),flip(a)]. given #5348 (H,wt=13): 6790 K((x * y) \ x,z) = K(y \ 1,z). [para(9(a,1),6782(a,1,1,1)),flip(a)]. given #5349 (H,wt=13): 6804 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(286,a,631,a(flip),b,6786,a),flip(a)]. given #5350 (H,wt=13): 6805 K((x * y) \ x,z) = K(1 / y,z). [para(9(a,1),6786(a,1,1,2)),flip(a)]. given #5351 (H,wt=13): 6811 (x * y) * K(y,z) = x * T(y,z). [para(6788(a,1),6135(a,1,2))]. given #5352 (H,wt=8): 6819 R(x,y,K(y,z)) = x. [hyper(4733,a,6811,a)]. given #5353 (H,wt=10): 6820 L(K(x,y),x,z) = K(x,y). [hyper(4732,a,6811,a)]. given #5354 (H,wt=8): 6845 a(x,y,K(y,z)) = 1. [hyper(52,a,6820,a)]. given #5355 (H,wt=10): 6851 a(x,y \ 1,K(y,z)) = 1. [para(6455(a,1),6845(a,1,3))]. given #5356 (H,wt=10): 6852 a(x,y,K(y \ 1,z)) = 1. [para(6458(a,2),6845(a,1,3))]. given #5357 (H,wt=11): 6839 R(x,y,K(y,z)) != u | u = x. [para(6819(a,1),50(a,1)),flip(a)]. given #5358 (H,wt=12): 6844 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(286,a,4781,a,b,6820,a),flip(a)]. given #5359 (H,wt=12): 6853 L(K(x,y),x \ 1,z) = K(x,y). [hyper(51,a,6851,a)]. given #5360 (H,wt=12): 6857 L(K(x,y),1 / x,z) = K(x,y). [para(4885(a,1),6853(a,1,2))]. given #5361 (H,wt=13): 6821 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(518,a,6811,a)]. given #5362 (H,wt=13): 6822 (x / y) * T(y,z) = x * K(y,z). [hyper(295,a,6811,a),flip(a)]. given #5363 (H,wt=13): 6823 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(121,a,6811,a)]. given #5364 (H,wt=13): 6854 L(K(x,y),x,z) != u | K(x,y) = u. [para(6844(a,2),4783(a,1))]. given #5365 (H,wt=13): 6861 (x / T(y,z)) * K(y,z) = x / y. [hyper(62,a,1179,a(flip),b,6822,a),flip(a)]. given #5366 (H,wt=13): 6864 (x * K(y,z)) * y = x * T(y,z). [para(6822(a,1),1173(a,1,1))]. given #5367 (H,wt=11): 6883 (x * K(y,z)) * K(z,y) = x. [hyper(34,a,6602,a(flip),b,6864,a),flip(a)]. given #5368 (H,wt=11): 6892 x / K(y,z) = x * K(z,y). [hyper(295,a,6883,a),flip(a)]. given #5369 (H,wt=11): 6895 (x * K(y,z)) \ x = K(z,y). [hyper(121,a,6883,a)]. given #5370 (H,wt=13): 6865 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6822(a,1),1178(a,1,1))]. given #5371 (H,wt=8): 6920 L(x,K(x,y),z) = x. [hyper(4746,a,6865,a)]. given #5372 (H,wt=12): 6922 L(T(x,y),K(x,z),u) = T(x,y). [para(6920(a,1),25(a,2,1))]. given #5373 (H,wt=13): 6879 (1 / x) * K(x,y) = K(x,y) / x. [hyper(116,a,4658,a,b,6864,a),flip(a)]. given #5374 (H,wt=13): 6919 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(6608(a,1),6895(a,1,1)),flip(a)]. given #5375 (H,wt=14): 6809 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [para(195(a,2),6788(a,1,1,1))]. given #5376 (H,wt=14): 6899 x * K(y,z) != u | u * K(z,y) = x. [para(6883(a,1),43(a,1)),flip(a)]. given #5377 (H,wt=14): 6900 K(x,y) != z \ u | u * K(y,x) = z. [para(6883(a,1),133(a,1,2)),flip(a)]. given #5378 (H,wt=14): 6901 x / K(y,z) != u | x * K(z,y) = u. [para(6883(a,1),227(a,1,1)),flip(b)]. given #5379 (H,wt=14): 6902 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6883(a,1),301(a,1,2)),flip(b)]. given #5380 (H,wt=14): 6909 (x * K(y,z)) * K(z,y) != u | x = u. [para(6892(a,1),228(a,1))]. given #5381 (H,wt=15): 6756 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),6745(a,1,2,1))]. given #5382 (H,wt=15): 6757 T(x,x \ y) / (y \ x) = x * (y / x). [para(6745(a,1),3684(a,1,1))]. given #5383 (H,wt=15): 6760 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(640,a,6753,a),flip(a)]. given #5384 (H,wt=15): 6791 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(22(a,2),6782(a,1,1,1))]. given #5385 (H,wt=15): 6796 x * T(x \ y,z) = y * K(x \ y,z). [para(6782(a,1),5704(a,2,2))]. given #5386 (H,wt=13): 6940 T(K(x / y,z),x) = K(y \ x,z). [hyper(5950,a,6796,a)]. given #5387 (H,wt=11): 6952 K(x \ y,y) = K(y / x,y). [hyper(62,a,2784,a(flip),b,6940,a),flip(a)]. given #5388 (H,wt=11): 6955 K((x \ y) \ y,y) = K(x,y). [para(73(a,1),6952(a,2,1))]. given #5389 (H,wt=13): 6954 K(x * (1 / y),x) = K(x / y,x). [hyper(62,a,6428,a,b,6952,a)]. given #5390 (H,wt=15): 6835 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6811(a,1),6602(a,1,1))]. given #5391 (H,wt=15): 6866 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(6822(a,1),1191(a,1,1))]. given #5392 (H,wt=15): 6872 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4614(a,1),6854(a,1,1))]. given #5393 (H,wt=14): 6961 (x \ 1) * T(x,y) != z | K(x,y) = z. [para(4914(a,1),6872(a,1))]. given #5394 (H,wt=15): 6882 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(115,a,6822,a(flip),b,6864,a)]. given #5395 (H,wt=15): 6894 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(216,a,6883,a,b,5846,a)]. given #5396 (H,wt=15): 6897 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(34,a,2093,a,b,6883,a),flip(a)]. given #5397 (H,wt=15): 6917 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6895(a,2),5839(a,1,1))]. given #5398 (H,wt=15): 6935 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(129,a,6757,a)]. given #5399 (H,wt=15): 6937 T(x,y / x) / (y \ x) = x * (y / x). [para(3932(a,1),6757(a,1,1))]. given #5400 (H,wt=15): 6939 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(62,a,6351,a(flip),b,6791,a),flip(a)]. given #5401 (H,wt=15): 6941 K(x / y,z) * x = x * K(y \ x,z). [hyper(62,a,4640,a,b,6796,a)]. given #5402 (H,wt=16): 6737 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6718(a,1),5757(a,1))]. given #5403 (H,wt=16): 6741 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(286,a,6694,a,b,6720,a)]. given #5404 (H,wt=16): 6747 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6728(a,2),4663(a,1))]. given #5405 (H,wt=16): 6762 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2598(a,2),6753(a,1,2))]. given #5406 (H,wt=12): 6969 T(x,L(y,y \ 1,z)) = T(x,y). [para(76(a,1),6762(a,2,2))]. given #5407 (H,wt=16): 6802 K(x \ y,z \ 1) != u | K(y \ x,z) = u. [para(6782(a,1),6456(a,1))]. given #5408 (H,wt=16): 6814 K((x * y) \ x,z) != u | K(y,z \ 1) = u. [para(6790(a,2),6476(a,1))]. given #5409 (H,wt=16): 6815 K((x * y) \ x,z) != u | K(1 / y,z) = u. [para(6790(a,2),6487(a,1))]. given #5410 (H,wt=16): 6826 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(6811(a,1),295(a,1))]. given #5411 (H,wt=16): 6863 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6822(a,1),301(a,1,2)),flip(b)]. given #5412 (H,wt=16): 6868 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6823(a,1),232(a,1,2)),flip(b)]. given #5413 (H,wt=16): 6885 x * T(y,z) != u * y | x * K(y,z) = u. [para(6864(a,1),43(a,1))]. given #5414 (H,wt=16): 6886 (x * K(y,z)) * y != u * T(y,z) | x = u. [para(6864(a,2),43(a,1))]. given #5415 (H,wt=16): 6918 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(6080(a,1),6895(a,1,1))]. given #5416 (H,wt=16): 6921 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6865(a,1),232(a,1,2)),flip(b)]. given #5417 (H,wt=16): 6933 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6811(a,1),6909(a,1,1))]. given #5418 (H,wt=16): 6934 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6861(a,1),6909(a,1,1))]. given #5419 (H,wt=16): 6938 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(286,a,355,a,b,6760,a)]. given #5420 (H,wt=16): 6967 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6741(a,1),335(a,1)),flip(b)]. given #5421 (H,wt=13): 6981 L(K(x,y),y,z) != u | K(x,y) = u. [para(6741(a,2),6967(a,1))]. given #5422 (H,wt=16): 6972 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(6458(a,2),6802(a,1))]. given #5423 (H,wt=16): 6973 x * T(y,z) != u | (x * y) * K(y,z) = u. [para(11(a,1),6826(a,1,1))]. given #5424 (H,wt=14): 6986 x * y != z | (y * x) * K(x,y) = z. [para(108(a,1),6973(a,1))]. given #5425 (H,wt=16): 6978 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(182,a,6938,a)]. given #5426 (H,wt=16): 6979 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(10(a,1),6967(a,1,2,1,1))]. given #5427 (H,wt=16): 6983 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(2930(a,1),6972(a,1))]. given #5428 (H,wt=14): 6995 K(1 / x,y) != z | K(x \ 1,y) = z. [para(64(a,1),6983(a,1,1,2))]. given #5429 (H,wt=16): 6984 K(x \ 1,x) != y | K(z \ u,u \ z) = y. [para(4889(a,1),6972(a,1))]. given #5430 (H,wt=16): 6988 K(x,y \ 1) != z | K(x,(u * y) \ u) = z. [para(9(a,1),6979(a,1,2,1))]. given #5431 (H,wt=16): 6992 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3318(a,1),6979(a,1))]. given #5432 (H,wt=17): 6712 x * R(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(6681(a,2),1248(a,1,2))]. given #5433 (H,wt=15): 6999 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [hyper(3568,a,6712,a)]. given #5434 (H,wt=15): 7002 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [para(4893(a,1),6999(a,1,1)),flip(a)]. given #5435 (H,wt=17): 6713 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(295,a,6696,a),flip(a)]. given #5436 (H,wt=17): 6715 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [hyper(286,a,6268,a,b,6708,a)]. given #5437 (H,wt=17): 6727 K(x,(y \ T(z,y)) \ 1) = K(x,z \ T(y,z)). [para(3928(a,1),6717(a,1,2,1))]. given #5438 (H,wt=17): 6729 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5839(a,1),6717(a,1,2,1))]. given #5439 (H,wt=17): 6730 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5839(a,1),6717(a,2,2))]. given #5440 (H,wt=17): 6752 T((x * y) \ z,(x \ z) \ y) = (x * y) \ z. [hyper(62,a,6378,a(flip),b,6745,a),flip(a)]. given #5441 (H,wt=17): 6780 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6778(a,1),108(a,1,2))]. given #5442 (H,wt=17): 6795 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5839(a,1),6782(a,1,1,1))]. given #5443 (H,wt=17): 6798 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6782(a,1),6126(a,2,2))]. given #5444 (H,wt=13): 7008 K((x \ 1) \ y,y) = K(x * y,y). [hyper(5963,a,6798,a),flip(a)]. given #5445 (H,wt=11): 7011 K(x * y,y) = K(y * x,y). [hyper(62,a,6427,a(flip),b,7008,a),flip(a)]. given #5446 (H,wt=13): 7009 K((x \ 1) \ y,x) = K(x * y,x). [hyper(33,a,6623,a(flip),b,6798,a(flip)),flip(a)]. given #5447 (H,wt=13): 7012 K((1 / x) * y,y) = K(x \ y,y). [para(76(a,1),7008(a,1,1,1)),flip(a)]. given #5448 (H,wt=13): 7018 K((1 / x) \ y,x) = K(x * y,x). [hyper(62,a,5812,a(flip),b,7009,a)]. given #5449 (H,wt=14): 7014 T(x * K(x * y,x),y) = R(x,y,x). [para(7011(a,1),4819(a,1,1,2))]. given #5450 (H,wt=16): 7015 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(7011(a,2),5942(a,1,2))]. given #5451 (H,wt=16): 7016 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(7011(a,2),6080(a,1,1))]. given #5452 (H,wt=17): 6799 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6782(a,1),6279(a,1,2,2))]. given #5453 (H,wt=17): 6834 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6811(a,1),6589(a,1,1)),flip(a)]. given #5454 (H,wt=17): 6876 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(286,a,2794,a,b,6864,a),flip(a)]. given #5455 (H,wt=15): 7023 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(6625,a,6876,a(flip))]. given #5456 (H,wt=17): 6890 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6690(a,1),6864(a,1,1))]. given #5457 (H,wt=17): 6914 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6892(a,1),5967(a,2,2))]. given #5458 (H,wt=17): 6915 K(x,(y * z) \ y) = (u * K(z \ 1,x)) \ u. [hyper(286,a,6719,a,b,6895,a)]. given #5459 (H,wt=16): 7026 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(6915(a,2),6902(a,1))]. given #5460 (H,wt=17): 6936 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(11(a,1),6757(a,2,2))]. given #5461 (H,wt=15): 7028 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(22(a,2),6936(a,1,1,2))]. given #5462 (H,wt=13): 7029 T(x,y) / ((y * x) \ x) = x * y. [para(3913(a,1),7028(a,1,1))]. given #5463 (H,wt=13): 7031 (x * y) \ T(x,y) = (y * x) \ x. [hyper(175,a,7029,a)]. given #5464 (H,wt=13): 7032 T(x,y) = (x * y) * ((y * x) \ x). [hyper(129,a,7029,a),flip(a)]. given #5465 (H,wt=14): 7033 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(62,a,4264,a,b,7031,a)]. given #5466 (H,wt=15): 7030 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(310,a,7029,a),flip(a)]. given #5467 (H,wt=17): 6959 T((x / y) * K(y,z),y) = y \ (x * K(y,z)). [para(6822(a,1),6866(a,2,2))]. given #5468 (H,wt=17): 6965 K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y). [hyper(34,a,2795,a(flip),b,6941,a)]. given #5469 (H,wt=18): 6697 L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(286,a,5964,a,b,6694,a),flip(a)]. given #5470 (H,wt=16): 7036 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6697(a,1),335(a,1)),flip(b)]. given #5471 (H,wt=16): 7037 K(x,y \ 1) != z | K(x,u / (y * u)) = z. [para(11(a,1),7036(a,1,2,1))]. given #5472 (H,wt=18): 6733 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6717(a,1),6296(a,1,2))]. given #5473 (H,wt=18): 6828 (1 / x) * T(x,y) != z * u | K(x,y) / u = z. [para(6811(a,1),396(a,1))]. given #5474 (H,wt=18): 6888 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6864(a,1),304(a,1,2))]. given #5475 (H,wt=18): 6903 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(6883(a,1),217(a,2))]. given #5476 (H,wt=18): 6910 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(6892(a,1),293(a,1))]. given #5477 (H,wt=18): 6925 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6920(a,1),4551(a,1,1,2)),flip(a)]. given #5478 (H,wt=14): 7043 L(x * y,K(y * x,z),u) = x * y. [para(9(a,1),6925(a,2,1))]. given #5479 (H,wt=18): 6928 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6922(a,1),30(a,1,1)),flip(a)]. given #5480 (H,wt=18): 6945 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6796(a,2),301(a,1,2)),flip(b)]. given #5481 (H,wt=18): 6953 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(6940(a,1),218(a,1,2))]. given #5482 (H,wt=18): 6962 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(6882(a,1),258(a,1,2))]. given #5483 (H,wt=18): 6963 T(x,K(y,z)) != K(z,y) * u | u * K(z,y) = x. [para(6894(a,1),48(a,1)),flip(a)]. given #5484 (H,wt=18): 6966 K(x / y,z) * x != x * u | K(y \ x,z) = u. [para(6941(a,2),42(a,1))]. given #5485 (H,wt=18): 6968 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(22(a,2),6747(a,1,2,1))]. given #5486 (H,wt=18): 6989 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(22(a,2),6979(a,1,2,1))]. given #5487 (H,wt=18): 6994 K(x,(y \ 1) / z) != u | K(x,y \ (z \ 1)) = u. [para(6411(a,1),6979(a,1,2))]. given #5488 (H,wt=18): 7001 a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. [para(6712(a,1),3568(a,1))]. given #5489 (H,wt=18): 7005 K(x,y \ T(z,y)) != u | K(x,T(y,z) \ z) = u. [para(6727(a,1),6979(a,1))]. given #5490 (H,wt=18): 7019 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(7014(a,1),23(a,1,1)),flip(a)]. given #5491 (H,wt=18): 7038 K(x,(y \ 1) \ z) != u | K(x,y / (z \ 1)) = u. [para(6425(a,1),7036(a,1,2))]. given #5492 (H,wt=18): 7039 K(x,(y \ 1) \ (z \ 1)) != u | K(x,y / z) = u. [para(6431(a,2),7036(a,1,2))]. given #5493 (H,wt=18): 7040 K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. [para(6719(a,2),7036(a,1))]. given #5494 (H,wt=18): 7050 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(286,a,27,a,b,7019,a),flip(a)]. given #5495 (H,wt=19): 6675 x \ (1 / ((y * x) \ y)) = (1 / ((y * x) \ y)) / x. [para(6674(a,1),4422(a,1,2)),flip(a)]. given #5496 (H,wt=19): 6688 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6684(a,1),104(a,1,1)),flip(a)]. given #5497 (H,wt=19): 6711 x * R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ x. [para(6681(a,2),1237(a,1,2))]. given #5498 (H,wt=19): 6716 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(286,a,2057,a(flip),b,6708,a)]. given #5499 (H,wt=19): 6735 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6734(a,1),459(a,1,1))]. given #5500 (H,wt=19): 6740 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(6719(a,1),4856(a,1,2)),flip(a)]. given #5501 (H,wt=19): 6785 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(6665,a,6782,a)]. given #5502 (H,wt=17): 7052 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6972,a,6785,a),flip(a)]. given #5503 (H,wt=19): 6789 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(62,a,6134,a,b,6782,a)]. given #5504 (H,wt=19): 6797 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6782(a,1),6246(a,1,1)),flip(a)]. given #5505 (H,wt=19): 6800 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6782(a,1),6131(a,1,2))]. given #5506 (H,wt=19): 6801 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6782(a,1),6345(a,1,2))]. given #5507 (H,wt=19): 6803 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6782(a,1),6533(a,1,2))]. given #5508 (H,wt=15): 7056 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(33,a,6801,a,b,6803,a),flip(a)]. given #5509 (H,wt=17): 7057 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(7056(a,1),4794(a,1,2))]. given #5510 (H,wt=15): 7058 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4797,a,7057,a),flip(a)]. given #5511 (H,wt=19): 6806 K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). [para(6786(a,1),6250(a,1,1)),flip(a)]. given #5512 (H,wt=19): 6833 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4605(a,1),6811(a,1,1)),flip(a)]. given #5513 (H,wt=19): 6847 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6820(a,1),502(a,1,2,1))]. given #5514 (H,wt=19): 6856 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(6853(a,1),92(a,1,2))]. given #5515 (H,wt=17): 7060 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(3233(a,1),6856(a,2,2))]. given #5516 (H,wt=19): 6891 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6696(a,1),6864(a,1,1)),flip(a)]. given #5517 (H,wt=19): 6916 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(38,a,6650,a(flip),b,6895,a)]. given #5518 (H,wt=19): 6948 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6796(a,1),880(a,1,1))]. given #5519 (H,wt=19): 7006 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(286,a,6020,a(flip),b,6780,a),flip(a)]. given #5520 (H,wt=19): 7010 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6798(a,1),4476(a,1,1))]. given #5521 (H,wt=19): 7013 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(7008(a,1),4659(a,2,2)),flip(a)]. given #5522 (H,wt=19): 7021 x \ R(x,y,x) != z | K(x,y) * K(y * x,x) = z. [para(7016(a,1),2098(a,1))]. given #5523 (H,wt=19): 7053 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4576(a,2),6789(a,1,2))]. given #5524 (H,wt=19): 7054 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6899,a,6800,a)]. given #5525 (H,wt=19): 7059 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4494,a,6833,a(flip))]. given #5526 (H,wt=19): 7065 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(6061,a,6948,a)]. given #5527 (H,wt=20): 6683 L(x \ 1,y \ 1,z) != u \ 1 | R(x,y,z \ 1) = u. [para(6677(a,2),47(a,1))]. given #5528 (H,wt=20): 6736 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),6718(a,1,2,2)),flip(a)]. given #5529 (H,wt=20): 6768 x * K(y,z \ x) != x * u | T(K(y,x / z),x) = u. [para(6732(a,1),217(a,2)),flip(a)]. given #5530 (H,wt=20): 6772 K(T(x,y),x \ 1) != z | K(T(x,y),T(x,y) \ 1) = z. [para(6767(a,1),2693(a,1))]. given #5531 (H,wt=20): 6792 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(94(a,2),6782(a,1,1,1))]. given #5532 (H,wt=18): 7068 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(62,a,6797,a(flip),b,6792,a)]. given #5533 (H,wt=17): 7073 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(94(a,2),7068(a,2,1))]. given #5534 (H,wt=18): 7069 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(10(a,1),7068(a,2,1,1))]. given #5535 (H,wt=15): 7078 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6981,a,7069,a)]. given #5536 (H,wt=18): 7071 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(76(a,1),7068(a,1,1,1)),flip(a)]. given #5537 (H,wt=15): 7081 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(96(a,2),7071(a,1,1))]. given #5538 (H,wt=15): 7083 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),7081(a,1,1,2)),flip(a)]. given #5539 (H,wt=14): 7086 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6981,a,7083,a),flip(a)]. given #5540 (H,wt=14): 7088 K(L(x,y,z),y * x) = K(x,x * y). [hyper(286,a,5991,a(flip),b,7086,a),flip(a)]. given #5541 (H,wt=17): 7084 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7081(a,1),4781(a,1,1)),flip(a)]. given #5542 (H,wt=18): 7077 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3006(a,1),7073(a,2,1))]. given #5543 (H,wt=16): 7089 K((1 / x) * y,y) != z | K(x \ y,y) = z. [para(7077(a,1),6981(a,1))]. given #5544 (H,wt=16): 7090 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(7011(a,1),7089(a,1))]. given #5545 (H,wt=14): 7092 K(x / y,x) != z | K(y \ x,x) = z. [para(6954(a,1),7090(a,1))]. given #5546 (H,wt=16): 7091 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(4885(a,2),7090(a,1,1,2))]. given #5547 (H,wt=18): 7080 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7069(a,1),6981(a,1))]. given #5548 (H,wt=18): 7087 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7083(a,1),496(a,1,2))]. given #5549 (H,wt=18): 7093 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6901,a,7087,a)]. given #5550 (H,wt=19): 7085 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4905(a,2),7081(a,1,1,2))]. given #5551 (H,wt=20): 6825 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(6811(a,1),304(a,1,2))]. given #5552 (H,wt=15): 7095 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(6825,a,4773,a)]. given #5553 (H,wt=17): 7097 (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). [hyper(286,a,6811,a,b,7095,a)]. given #5554 (H,wt=17): 7098 T(T(x,y) * y,K(y,z)) = T(x,T(y,z)) * y. [hyper(286,a,213,a(flip),b,7095,a),flip(a)]. given #5555 (H,wt=18): 7096 x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(4773(a,1),6825(a,1))]. given #5556 (H,wt=18): 7099 T(x * y,K(y,z)) != u | y * T(x,T(y,z)) = u. [para(7097(a,1),6868(a,1))]. given #5557 (H,wt=20): 6830 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(6811(a,1),518(a,1))]. given #5558 (H,wt=20): 6905 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(6883(a,1),105(a,2,1))]. given #5559 (H,wt=20): 6911 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6892(a,1),478(a,1,1))]. given #5560 (H,wt=19): 7101 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(62,a,6601,a(flip),b,6911,a),flip(a)]. given #5561 (H,wt=18): 7103 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5719(a,1),7101(a,1,2)),flip(a)]. given #5562 (H,wt=18): 7104 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5720(a,1),7101(a,1,2)),flip(a)]. given #5563 (H,wt=16): 7105 (x * y) / R(x,y,x) = y * K(x,x * y). [para(174(a,1),7104(a,1,1)),flip(a)]. given #5564 (H,wt=20): 6912 R((x / y) * K(y,z),K(z,y),y) = x / (y * K(z,y)). [para(6892(a,1),2815(a,1,1))]. given #5565 (H,wt=15): 7107 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(6588,a,6912,a),flip(a)]. given #5566 (H,wt=15): 7109 (x * y) / (y * K(z,y)) = x * K(y,z). [para(11(a,1),7107(a,2,1))]. given #5567 (H,wt=15): 7111 x / ((y * z) / y) = (x / z) * K(z,y). [para(4636(a,2),7107(a,1,2))]. given #5568 (H,wt=15): 7114 (x * y) / ((z * y) / z) = x * K(y,z). [para(4636(a,2),7109(a,1,2))]. given #5569 (H,wt=15): 7117 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6899,a,7111,a(flip))]. given #5570 (H,wt=15): 7119 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(62,a,1313,a(flip),b,7114,a)]. given #5571 (H,wt=17): 7112 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4672(a,1),7107(a,1,2)),flip(a)]. given #5572 (H,wt=17): 7121 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(10(a,1),7117(a,1,1,2,1))]. given #5573 (H,wt=17): 7125 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4054(a,1),7119(a,1,1,2))]. given #5574 (H,wt=18): 7118 (x / ((y * z) / y)) * K(y,z) != u | x / z = u. [para(7111(a,2),6909(a,1,1))]. given #5575 (H,wt=19): 7113 x / (y * K(z,y \ 1)) = (x / y) * K(y,z \ 1). [para(6458(a,1),7107(a,1,2,2))]. given #5576 (H,wt=19): 7131 x / (T(y \ 1,z) \ 1) = (x / y) * K(y,z \ 1). [para(5712(a,2),7113(a,1,2))]. given #5577 (H,wt=20): 6958 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6835(a,1),3974(a,1,2))]. given #5578 (H,wt=16): 7134 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6958(a,1),655(a,1))]. given #5579 (H,wt=20): 6971 K(K(x,y) * z,u \ 1) != w | K(z \ K(y,x),u) = w. [para(5839(a,1),6802(a,1,1))]. given #5580 (H,wt=20): 6977 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(174(a,1),6934(a,1,1))]. given #5581 (H,wt=20): 6980 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5846(a,1),6967(a,1,2,1,1))]. given #5582 (H,wt=20): 6985 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5839(a,1),6972(a,1,1,1))]. given #5583 (H,wt=20): 6993 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5839(a,1),6979(a,1,2,1))]. given #5584 (H,wt=20): 7035 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7033(a,1),1938(a,1,2)),flip(a)]. given #5585 (H,wt=20): 7041 x \ T(x,y / (x * y)) != z | K(x,u / (x * u)) = z. [para(2042(a,2),7037(a,1))]. given #5586 (H,wt=20): 7042 (x / y) * K(y \ x,y) != z * u | (y \ x) / u = z. [para(4672(a,1),6910(a,1,1))]. given #5587 (H,wt=20): 7063 R(x,y \ z,(y \ z) \ z) = ((x * (z / y)) * y) / z. [para(6891(a,1),664(a,1,1)),flip(a)]. given #5588 (H,wt=17): 7136 R(x,y \ z,(y \ z) \ z) = R(x,z / y,y). [hyper(286,a,106,a(flip),b,7063,a),flip(a)]. given #5589 (H,wt=17): 7137 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(62,a,1549,a,b,7136,a)]. given #5590 (H,wt=20): 7070 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(10(a,1),7068(a,2,1,2))]. given #5591 (H,wt=20): 7075 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7009(a,1),7068(a,1,1))]. given #5592 (H,wt=20): 7076 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1722(a,2),7073(a,2,1))]. given #5593 (H,wt=20): 7082 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(286,a,18,a(flip),b,7081,a),flip(a)]. given #5594 (H,wt=18): 7140 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7082(a,2),439(a,1))]. given #5595 (H,wt=20): 7100 (x * y) * K(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(6811(a,2),7096(a,1))]. given #5596 (H,wt=20): 7106 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7104(a,1),6864(a,1,1)),flip(a)]. given #5597 (H,wt=20): 7141 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(73(a,1),7140(a,1,1,2))]. given #5598 (H,wt=21): 6703 (x * ((y \ 1) * K(z,y))) * 1 = (x * (y \ 1)) * K(z,y). [para(6701(a,1),81(a,1,2))]. given #5599 (H,wt=19): 7144 (x * (T(y,z) \ 1)) * 1 = (x * (y \ 1)) * K(z,y). [para(4628(a,1),6703(a,1,1,2))]. given #5600 (H,wt=17): 7145 (x * (y \ 1)) * K(z,y) = x * (T(y,z) \ 1). [hyper(124,a,7144,a),flip(a)]. given #5601 (H,wt=17): 7146 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6899,a,7145,a)]. given #5602 (H,wt=17): 7147 (x / (y \ 1)) * (T(y,z) \ 1) = x * K(z,y). [hyper(295,a,7145,a),flip(a)]. given #5603 (H,wt=19): 7148 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [hyper(116,a,6193,a(flip),b,7147,a)]. given #5604 (H,wt=21): 6724 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(717(a,1),6717(a,1,2,1)),flip(a)]. given #5605 (H,wt=21): 6765 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6754(a,1),3069(a,1,2))]. given #5606 (H,wt=21): 6816 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6804(a,1),4659(a,2,2)),flip(a)]. given #5607 (H,wt=21): 6923 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6920(a,1),434(a,1,2,1))]. given #5608 (H,wt=21): 6929 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4641,a,6809,a)]. given #5609 (H,wt=20): 7150 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(725,a,6929,a),flip(a)]. given #5610 (H,wt=21): 6949 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6796(a,1),1754(a,2,1))]. given #5611 (H,wt=19): 7155 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(115,a,6949,a(flip),b,6796,a(flip))]. given #5612 (H,wt=19): 7156 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(76(a,1),7155(a,1,2,1,2,1)),flip(a)]. given #5613 (H,wt=21): 6957 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(115,a,92,a(flip),b,6835,a)]. given #5614 (H,wt=21): 7000 x \ (y * R(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). [hyper(62,a,1630,a(flip),b,6712,a)]. given #5615 (H,wt=21): 7007 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6795(a,1),6349(a,2,1))]. given #5616 (H,wt=15): 7159 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4710(a,1),7007(a,1,1,1)),flip(a)]. given #5617 (H,wt=17): 7160 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(7159(a,1),108(a,1,2)),flip(a)]. given #5618 (H,wt=21): 7017 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(7011(a,1),5987(a,1,2,1,2))]. given #5619 (H,wt=15): 7161 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6159,a,7017,a),flip(a)]. given #5620 (H,wt=21): 7094 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7093(a,1),42(a,1)),flip(a)]. given #5621 (H,wt=21): 7133 x / (T((y \ 1) \ 1,z) \ 1) = (x / (y \ 1)) * K(y,z). [para(6455(a,1),7131(a,2,2))]. given #5622 (H,wt=17): 7162 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(4893(a,1),7133(a,1,2,1,1)),flip(a)]. given #5623 (H,wt=21): 7142 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(94(a,1),7141(a,1,1))]. given #5624 (H,wt=21): 7157 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(286,a,25,a,b,6957,a),flip(a)]. given #5625 (H,wt=22): 6692 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(6685(a,1),104(a,1,1))]. given #5626 (H,wt=22): 6721 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),6717(a,1,2,1)),flip(a)]. given #5627 (H,wt=22): 6723 K(x,(((y * z) \ y) \ u) \ 1) = K(x,u \ L(z \ 1,z,y)). [para(355(a,1),6717(a,1,2,1))]. given #5628 (H,wt=20): 7167 K(x,y \ L(z \ 1,z,u)) = K(x,y \ ((u * z) \ u)). [hyper(6979,a,6723,a),flip(a)]. given #5629 (H,wt=22): 6887 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6864(a,1),195(a,2,1))]. given #5630 (H,wt=22): 6898 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6883(a,1),18(a,2,2,2))]. given #5631 (H,wt=22): 6946 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(6796(a,2),299(a,1,2))]. given #5632 (H,wt=22): 6975 (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. [para(6613(a,1),6826(a,1,1))]. given #5633 (H,wt=20): 7170 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(6975,a,7106,a)]. given #5634 (H,wt=22): 6987 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4509(a,1),6978(a,1,2))]. given #5635 (H,wt=22): 6991 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2417(a,2),6979(a,1))]. given #5636 (H,wt=22): 6996 K(T(1 / x,y) \ 1,z) != u | K(T(x \ 1,y) \ 1,z) = u. [para(2119(a,2),6995(a,1,1))]. given #5637 (H,wt=22): 7022 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6834(a,1),5773(a,1,1))]. given #5638 (H,wt=15): 7172 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(473,a,7022,a),flip(a)]. given #5639 (H,wt=22): 7025 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6890(a,1),4839(a,1,2))]. given #5640 (H,wt=18): 7173 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7025(a,1),854(a,1))]. given #5641 (H,wt=22): 7048 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1256(a,1),6945(a,1,2))]. given #5642 (H,wt=15): 7174 K((x \ y) \ z,y) = K((y / x) \ z,y). [hyper(7048,a,7053,a)]. given #5643 (H,wt=18): 7175 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(7053(a,1),7048(a,1))]. given #5644 (H,wt=22): 7055 x * ((y \ (x \ z)) * y) != z * u | K((y * x) \ z,y) = u. [para(6801(a,1),42(a,1))]. given #5645 (H,wt=22): 7066 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(7054(a,1),6909(a,1,1))]. given #5646 (H,wt=22): 7067 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(383(a,2),6736(a,1,2))]. given #5647 (H,wt=22): 7072 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(108(a,1),7068(a,2,1,2))]. given #5648 (H,wt=22): 7139 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7009(a,1),7070(a,1,1))]. given #5649 (H,wt=22): 7166 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(455(a,2),6721(a,1,2))]. given #5650 (H,wt=22): 7168 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6887(a,2),4835(a,1))]. given #5651 (H,wt=22): 7177 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6796(a,2),7066(a,1))]. given #5652 (H,wt=22): 7178 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(62,a,3421,a(flip),b,7067,a)]. given #5653 (H,wt=23): 6679 (x * L(y \ 1,z,u \ 1)) \ 1 = R(y,z \ 1,u) * (x \ 1). [para(6676(a,2),6403(a,1,1,2))]. given #5654 (H,wt=23): 6680 (L(x \ 1,y,z \ 1) * u) \ 1 = (u \ 1) * R(x,y \ 1,z). [para(6676(a,2),6404(a,1,1,1))]. given #5655 (H,wt=23): 6758 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6745(a,1),4066(a,1,1))]. given #5656 (H,wt=23): 6781 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5977(a,2),6743(a,2,2))]. given #5657 (H,wt=23): 6931 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(6090(a,1),6902(a,1,1))]. given #5658 (H,wt=23): 6932 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(6098(a,1),6902(a,1,1))]. given #5659 (H,wt=23): 6964 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(286,a,5897,a,b,6937,a),flip(a)]. given #5660 (H,wt=21): 7180 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6766(a,1),6964(a,1,1))]. given #5661 (H,wt=17): 7181 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(76(a,1),7180(a,1,2)),flip(a)]. given #5662 (H,wt=15): 7182 x \ (T(x,1 / y) / y) = (x / y) / x. [hyper(115,a,7181,a(flip),b,5897,a(flip))]. given #5663 (H,wt=23): 6982 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(94(a,2),6972(a,1,1,1))]. given #5664 (H,wt=21): 7183 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6797(a,1),6982(a,1))]. given #5665 (H,wt=23): 6990 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(94(a,2),6979(a,1,2,1))]. given #5666 (H,wt=23): 7027 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(235(a,1),7026(a,1,2,1))]. given #5667 (H,wt=23): 7044 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(7043(a,1),92(a,1,2))]. given #5668 (H,wt=23): 7116 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(6589(a,1),7109(a,1,1))]. given #5669 (H,wt=23): 7138 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7070(a,1),425(a,1,2)),flip(a)]. given #5670 (H,wt=23): 7163 x / (T(y,y \ (x / (y \ 1))) \ 1) = y * ((x / (y \ 1)) / y). [hyper(5790,a,7162,a),flip(a)]. given #5671 (H,wt=23): 7184 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(7059(a,1),7044(a,2,2))]. given #5672 (H,wt=19): 7185 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(286,a,5846,a(flip),b,7184,a),flip(a)]. given #5673 (H,wt=19): 7186 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(34,a,6234,a,b,7185,a)]. given #5674 (H,wt=19): 7187 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [hyper(131,a,7186,a)]. given #5675 (H,wt=24): 6710 (((x \ 1) * y) * (z \ 1)) / (y * (z \ 1)) = L(x,y \ 1,z) \ 1. [hyper(62,a,20,a(flip),b,6681,a)]. given #5676 (H,wt=20): 7188 L(x,y \ 1,z) \ 1 != u | R(x \ 1,y,z \ 1) = u. [para(6710(a,1),473(a,1))]. given #5677 (H,wt=24): 6831 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6811(a,1),492(a,1,2))]. given #5678 (H,wt=24): 6867 K(x / y,z) * (x * K(y,u)) != w | T(x / y,z) * T(y,u) = w. [para(6822(a,1),5938(a,1,2))]. given #5679 (H,wt=24): 6877 ((x * (T(y,z) \ 1)) * K(y,z)) * y = R(x,T(y,z) \ 1,T(y,z)). [hyper(286,a,4912,a(flip),b,6864,a),flip(a)]. given #5680 (H,wt=18): 7189 R(x,T(y,z) \ 1,T(y,z)) = (x * (y \ 1)) * y. [para(7146(a,1),6877(a,1,1)),flip(a)]. given #5681 (H,wt=17): 7190 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(286,a,4912,a(flip),b,7189,a),flip(a)]. given #5682 (H,wt=23): 7192 a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = x \ R(x,y \ 1,y). [para(7190(a,1),2623(a,2,2))]. given #5683 (H,wt=21): 7193 a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = a(x,y \ 1,y). [hyper(286,a,3501,a(flip),b,7192,a),flip(a)]. given #5684 (H,wt=17): 7194 a(x,T(y,z) \ 1,T(y,z)) = a(x,y \ 1,y). [hyper(62,a,3513,a(flip),b,7193,a)]. given #5685 (H,wt=24): 6889 R(T(x * K(y,z),y * u),y,u) = (y * u) \ ((x * T(y,z)) * u). [para(6864(a,1),588(a,1,2,1)),flip(a)]. given #5686 (H,wt=24): 6904 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6883(a,1),92(a,1,1))]. given #5687 (H,wt=24): 6960 K(((x * y) \ x) \ 1,(x * y) \ x) != z | K(y,(x * y) \ x) = z. [para(2434(a,1),6872(a,1))]. given #5688 (H,wt=24): 6970 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,L(y,y \ 1,u)). [para(6969(a,1),6129(a,1,1))]. given #5689 (H,wt=24): 7024 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(116,a,6890,a(flip),b,104,a)]. given #5690 (H,wt=22): 7196 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6864(a,1),7024(a,1,2))]. given #5691 (H,wt=15): 7197 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(473,a,7196,a),flip(a)]. given #5692 (H,wt=24): 7047 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(805(a,1),6945(a,1,2))]. given #5693 (H,wt=24): 7074 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5846(a,1),7068(a,2,1,1))]. given #5694 (H,wt=24): 7176 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(7174(a,2),7070(a,1,1))]. given #5695 (H,wt=19): 7198 K((x * (y \ z)) \ u,z) = K((x * (z / y)) \ u,z). [hyper(62,a,7070,a(flip),b,7176,a)]. given #5696 (H,wt=15): 7199 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(10(a,1),7198(a,1,1,1)),flip(a)]. given #5697 (H,wt=15): 7200 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(73(a,1),7199(a,1,1,1,2))]. given #5698 (H,wt=21): 7201 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7200(a,1),6604(a,1,1,2)),flip(a)]. given #5699 (H,wt=15): 7202 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(286,a,6604,a(flip),b,7201,a),flip(a)]. given #5700 (H,wt=15): 7203 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(7030(a,1),7202(a,1,2))]. given #5701 (H,wt=19): 7204 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7203(a,1),240(a,1,2))]. given #5702 (H,wt=19): 7205 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(62,a,280,a(flip),b,7204,a)]. given #5703 (H,wt=19): 7206 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(62,a,6758,a(flip),b,7205,a),flip(a)]. given #5704 (H,wt=25): 4561 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4553(a,1),261(a,1,2))]. given #5705 (H,wt=25): 4569 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [hyper(115,a,4548,a,b,4425,a)]. given #5706 (H,wt=25): 4753 K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. [para(4605(a,1),435(a,1,1)),flip(a)]. given #5707 (H,wt=25): 4754 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4605(a,1),430(a,1,1))]. given #5708 (H,wt=25): 4875 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1307(a,1),4805(a,1,2))]. given #5709 (H,wt=25): 5783 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(790(a,1),4758(a,2,2))]. given #5710 (H,wt=25): 5916 L(1 / (x \ y),x \ y,x) != z | (y \ x) * K(x \ y,y \ x) = z. [para(774(a,1),4706(a,1))]. given #5711 (H,wt=25): 6078 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(25(a,2),5894(a,1,1))]. given #5712 (H,wt=25): 6133 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [hyper(115,a,1962,a(flip),b,5704,a(flip))]. given #5713 (H,wt=21): 7209 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(62,a,6181,a(flip),b,6133,a),flip(a)]. given #5714 (H,wt=19): 7210 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(286,a,6782,a(flip),b,7209,a),flip(a)]. given #5715 (H,wt=17): 7211 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6972,a,7210,a)]. given #5716 (H,wt=19): 7212 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7211(a,1),4794(a,1,2)),flip(a)]. given #5717 (H,wt=17): 7213 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(286,a,4794,a(flip),b,7212,a),flip(a)]. given #5718 (H,wt=25): 6141 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(116,a,804,a(flip),b,5705,a)]. given #5719 (H,wt=25): 6176 K(L(x,y,z) \ 1,x) / R(L(u,w,v5) \ 1,u,u \ 1) = L(u,w,v5). [para(5924(a,1),4314(a,1,1))]. given #5720 (H,wt=25): 6269 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1148(a,1),5954(a,1,1))]. given #5721 (H,wt=21): 7216 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),6269(a,1,1,2,2,1))]. given #5722 (H,wt=19): 7217 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(286,a,5964,a(flip),b,7216,a),flip(a)]. given #5723 (H,wt=22): 7218 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(7216(a,2),7036(a,1))]. given #5724 (H,wt=25): 6375 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(62,a,1942,a,b,4762,a)]. given #5725 (H,wt=25): 6382 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5763(a,1),5854(a,1,2))]. given #5726 (H,wt=25): 6406 (((x * y) \ 1) / (y \ 1)) \ z = K(x \ 1,y \ 1) * ((x \ 1) \ z). [para(6394(a,1),5716(a,1,1,1))]. given #5727 (H,wt=23): 7221 ((x \ (y * x)) \ 1) \ z = K(y \ 1,x \ 1) * ((y \ 1) \ z). [para(6395(a,1),6406(a,1,1))]. given #5728 (H,wt=21): 7222 K(x \ 1,y \ 1) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(22(a,2),7221(a,1,1,1)),flip(a)]. given #5729 (H,wt=19): 7223 x * T(x \ ((y \ 1) \ x),z) = (T(y,z) \ 1) \ x. [hyper(62,a,6472,a(flip),b,7222,a)]. given #5730 (H,wt=17): 7224 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [hyper(262,a,7223,a)]. given #5731 (H,wt=17): 7225 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(76(a,1),7224(a,1,1,2,1)),flip(a)]. given #5732 (H,wt=17): 7226 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(182,a,7225,a)]. given #5733 (H,wt=17): 7228 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(62,a,7206,a,b,7226,a),flip(a)]. given #5734 (H,wt=17): 7229 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(7228(a,1),2122(a,1,1))]. given #5735 (H,wt=17): 7230 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7030(a,2),7229(a,1,1))]. given #5736 (H,wt=17): 7231 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(9(a,1),7230(a,1,1,1,1)),flip(a)]. given #5737 (H,wt=20): 7227 x / ((x \ (y \ x)) * x) != z | T(1 / y,x) \ 1 = z. [para(7225(a,1),258(a,1,2))]. given #5738 (H,wt=25): 6502 (x \ 1) \ ((y \ 1) * ((z \ 1) * u)) = ((((u \ 1) * z) * y) / x) \ 1. [para(6420(a,1),6431(a,1,2))]. given #5739 (H,wt=25): 6520 L(x / T(y,z),T(y,z),T(y,z) \ 1) = L(x,y \ 1,y) / T(y,z). [para(6515(a,1),5919(a,2,1))]. given #5740 (H,wt=23): 7232 L(x / T(y,z),T(y,z),y \ 1) = L(x,y \ 1,y) / T(y,z). [hyper(62,a,6524,a(flip),b,6520,a)]. given #5741 (H,wt=25): 6535 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(544(a,1),6240(a,1,1,1)),flip(a)]. given #5742 (H,wt=20): 7233 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3867(a,1),6535(a,1,1)),flip(a)]. given #5743 (H,wt=18): 7234 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6493,a,7233,a)]. given #5744 (H,wt=12): 7238 R(K(x,y),T(x,z),u) = K(x,y). [para(3815(a,1),7234(a,1,1)),flip(a)]. given #5745 (H,wt=15): 7237 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(101(a,2),7234(a,1,1))]. given #5746 (H,wt=12): 7240 K(R(x,x \ 1,y),z) = K(x,z). [hyper(286,a,347,a(flip),b,7237,a),flip(a)]. given #5747 (H,wt=15): 7241 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),7237(a,1,1,2)),flip(a)]. given #5748 (H,wt=18): 7236 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(76(a,1),7234(a,1,1,2,1)),flip(a)]. given #5749 (H,wt=18): 7246 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),7236(a,2,1,2))]. given #5750 (H,wt=19): 7239 (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). [para(7238(a,1),104(a,1,1)),flip(a)]. given #5751 (H,wt=10): 7247 L(x,T(y,z),K(y,u)) = x. [hyper(435,a,7239,a)]. given #5752 (H,wt=17): 7248 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(62,a,4799,a(flip),b,7247,a)]. given #5753 (H,wt=17): 7249 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(6008(a,1),7248(a,1,1))]. given #5754 (H,wt=19): 7244 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7237(a,1),6895(a,1,1,2)),flip(a)]. given #5755 (H,wt=20): 7242 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7237(a,2),104(a,1,1))]. given #5756 (H,wt=21): 7245 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7241(a,1),31(a,1,1)),flip(a)]. given #5757 (H,wt=23): 7243 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5735(a,1),7237(a,1,1,2))]. given #5758 (H,wt=25): 6537 (1 / (1 / x)) / (y * (T(y,z) \ 1)) = x / (T(y,z) \ ((y \ 1) \ 1)). [para(1623(a,1),6536(a,2,2))]. given #5759 (H,wt=21): 7250 x / (T(y,z) \ ((y \ 1) \ 1)) = (1 / (1 / x)) / K(z,y). [para(4613(a,2),6537(a,1,2)),flip(a)]. given #5760 (H,wt=19): 7251 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(286,a,4688,a(flip),b,7250,a),flip(a)]. given #5761 (H,wt=17): 7252 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3117(a,1),7251(a,1,2))]. given #5762 (H,wt=17): 7253 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(175,a,7252,a)]. given #5763 (H,wt=25): 6538 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(781(a,1),6270(a,1,1,1))]. given #5764 (H,wt=21): 7254 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5739(a,1),6538(a,1,1,1)),flip(a)]. given #5765 (H,wt=21): 7255 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(286,a,4460,a,b,7254,a),flip(a)]. given #5766 (H,wt=19): 7256 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(7036,a,7255,a)]. given #5767 (H,wt=19): 7257 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4232(a,2),7256(a,1,2))]. given #5768 (H,wt=19): 7258 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(286,a,7156,a,b,7257,a)]. given #5769 (H,wt=25): 6543 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(115,a,6540,a,b,108,a)]. given #5770 (H,wt=20): 7259 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(684,a,6543,a)]. given #5771 (H,wt=24): 7260 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7259(a,1),6353(a,1,1,1)),flip(a)]. given #5772 (H,wt=20): 7261 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(286,a,6350,a(flip),b,7260,a),flip(a)]. given #5773 (H,wt=25): 6571 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(10(a,1),6563(a,2,2,2,1))]. given #5774 (H,wt=15): 7263 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [hyper(116,a,6497,a(flip),b,6571,a(flip))]. given #5775 (H,wt=15): 7264 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(115,a,6497,a(flip),b,6571,a(flip))]. given #5776 (H,wt=15): 7265 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(6447,a,7263,a)]. given #5777 (H,wt=15): 7267 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(76(a,1),7264(a,1,1,2))]. given #5778 (H,wt=15): 7268 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(76(a,1),7265(a,1,1,2)),flip(a)]. given #5779 (H,wt=15): 7270 (T(x,y) / (z \ 1)) \ x = z \ K(y,x). [hyper(286,a,169,a(flip),b,7268,a),flip(a)]. given #5780 (H,wt=18): 7266 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(7263(a,1),303(a,1,1)),flip(b)]. given #5781 (H,wt=19): 7269 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(7267(a,2),6649(a,2,1))]. given #5782 (H,wt=19): 7272 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(11(a,1),7269(a,1,2,1,1)),flip(a)]. given #5783 (H,wt=19): 7273 (1 / x) \ K((x \ y) * x,z) = T(y,z) / (x \ y). [hyper(38,a,6650,a(flip),b,7272,a),flip(a)]. given #5784 (H,wt=21): 7271 (T(x / y,y) / (z \ 1)) \ (x / y) = z \ K(y,y \ x). [para(4788(a,2),7270(a,2,2))]. given #5785 (H,wt=19): 7274 ((x \ y) / (z \ 1)) \ (y / x) = z \ K(x,x \ y). [para(110(a,1),7271(a,1,1,1))]. given #5786 (H,wt=25): 6654 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(110(a,2),6648(a,1,1))]. given #5787 (H,wt=25): 6658 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1481(a,1),6640(a,1,1,2))]. given #5788 (H,wt=25): 6659 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(76(a,1),6641(a,1,1,1,2,1))]. given #5789 (H,wt=23): 7276 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6822(a,1),6659(a,1,1,1)),flip(a)]. given #5790 (H,wt=23): 7277 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(131,a,7276,a(flip))]. given #5791 (H,wt=19): 7280 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6882(a,1),7277(a,1,2,2))]. given #5792 (H,wt=19): 7283 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6883(a,1),7280(a,1,1,1))]. given #5793 (H,wt=21): 7287 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(7283(a,2),6864(a,1,1))]. given #5794 (H,wt=21): 7288 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(6592,a,7287,a)]. given #5795 (H,wt=21): 7289 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(286,a,6594,a(flip),b,7288,a),flip(a)]. given #5796 (H,wt=21): 7290 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2794(a,2),7289(a,2,2))]. given #5797 (H,wt=23): 7279 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7277(a,1),6895(a,1,1)),flip(a)]. given #5798 (H,wt=23): 7291 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(73(a,1),7279(a,1,1,1,1)),flip(a)]. given #5799 (H,wt=23): 7292 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [hyper(131,a,7291,a)]. given #5800 (H,wt=25): 6974 R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. [para(20(a,2),6826(a,1,1))]. given #5801 (H,wt=25): 7061 (x * K(y \ 1,z)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). [para(6864(a,1),7060(a,1,1)),flip(a)]. given #5802 (H,wt=25): 7079 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(14(a,2),7069(a,2,1))]. given #5803 (H,wt=25): 7154 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1684(a,1),7150(a,2,2))]. given #5804 (H,wt=25): 7165 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(6692(a,1),43(a,1))]. given #5805 (H,wt=25): 7208 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5885(a,1),4754(a,1,2))]. given #5806 (H,wt=23): 7295 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4675(a,1),7208(a,1,2,2)),flip(a)]. given #5807 (H,wt=21): 7296 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(7295(a,2),749(a,1))]. given #5808 (H,wt=25): 7220 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [hyper(131,a,6375,a)]. given #5809 (H,wt=25): 7275 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4576(a,2),6658(a,1,1,2))]. given #5810 (H,wt=25): 7294 (x * K(y,z \ 1)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). [para(6458(a,1),7061(a,1,1,2))]. given #5811 (H,wt=25): 7297 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6735(a,1),7220(a,1,2))]. given #5812 (H,wt=17): 7298 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(62,a,5895,a(flip),b,7297,a),flip(a)]. given #5813 (H,wt=11): 7300 T(x,(y \ z) * (z \ y)) = x. [hyper(53,a,7298,a)]. given #5814 (H,wt=11): 7303 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),7300(a,1,2,1))]. given #5815 (H,wt=11): 7306 K(x,y * ((z * y) \ z)) = 1. [hyper(54,a,7303,a)]. given #5816 (H,wt=14): 7304 T(x,(y \ z) * (z \ y)) != u | x = u. [para(7300(a,1),48(a,2))]. given #5817 (H,wt=17): 7307 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(53,a,7303,a)]. given #5818 (H,wt=18): 7310 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(195(a,2),7307(a,1,1,2))]. given #5819 (H,wt=17): 7311 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(62,a,7035,a(flip),b,7310,a)]. given #5820 (H,wt=19): 7305 (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). [hyper(638,a,7303,a)]. given #5821 (H,wt=22): 7308 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(7303(a,1),638(a,1))]. given #5822 (H,wt=26): 4539 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(4522(a,2),43(a,1))]. given #5823 (H,wt=26): 4540 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4362(a,1),4363(a,1,2))]. given #5824 (H,wt=26): 4681 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4617(a,2),4127(a,2,1))]. given #5825 (H,wt=24): 7314 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4617(a,2),4681(a,1,1,3))]. given #5826 (H,wt=17): 7315 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(6050(a,1),7314(a,1,1)),flip(a)]. given #5827 (H,wt=17): 7316 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5717(a,2),7315(a,1,2))]. given #5828 (H,wt=26): 4824 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1662(a,1),4636(a,1,1))]. given #5829 (H,wt=20): 7319 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4824(a,1),706(a,2,1)),flip(a)]. given #5830 (H,wt=22): 7318 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4840,a,4824,a)]. given #5831 (H,wt=22): 7320 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5990,a,7319,a)]. given #5832 (H,wt=26): 4826 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1836(a,1),4636(a,1,1))]. given #5833 (H,wt=26): 5709 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4615(a,1),2240(a,2,1,2))]. given #5834 (H,wt=26): 5721 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4638(a,1),14(a,2,2,1)),flip(a)]. given #5835 (H,wt=26): 5869 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). [para(5846(a,1),14(a,2,1,2)),flip(a)]. given #5836 (H,wt=26): 5889 K(x,L(y,z \ 1,z)) * a(z,z \ 1,y) = T(L(y,z \ 1,z),x) \ y. [para(713(a,1),5741(a,1,2))]. given #5837 (H,wt=26): 5921 (x * y) * L((x * y) \ z,y,y \ 1) = x * (y * ((y \ 1) * (x \ z))). [para(4914(a,1),893(a,2,2,2))]. given #5838 (H,wt=26): 6056 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(6041(a,1),18(a,2,1)),flip(a)]. given #5839 (H,wt=26): 6076 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2234(a,1),5877(a,1,2))]. given #5840 (H,wt=26): 6170 ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. [para(5897(a,2),217(a,2))]. given #5841 (H,wt=26): 6304 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5839(a,1),5856(a,1,1))]. given #5842 (H,wt=26): 6321 K(x \ 1,L(x,y,z)) * (u / L(w,v5,v6)) = u / L((w \ 1) \ 1,v5,v6). [para(3417(a,2),6313(a,2,2))]. given #5843 (H,wt=26): 6366 ((1 / x) * y) * T(((1 / x) * y) \ y,z) != y * u | T(K(x,z),y) = u. [para(6258(a,2),217(a,2)),flip(a)]. given #5844 (H,wt=26): 6534 ((x \ y) * x) * K(z,(x \ y) * x) != u * x | x \ (y * K(z,y)) = u. [para(6233(a,2),43(a,1))]. given #5845 (H,wt=26): 6544 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(6540(a,1),513(a,1))]. given #5846 (H,wt=26): 6545 (1 / x) * (K(x,y) * z) != u * w | (K(x,y) * ((1 / x) * z)) / w = u. [para(6542(a,1),490(a,1,1))]. given #5847 (H,wt=26): 6569 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6557(a,1),42(a,1))]. given #5848 (H,wt=26): 6570 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6558(a,2),42(a,1))]. given #5849 (H,wt=26): 6572 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(6567(a,1),227(a,1,1)),flip(b)]. given #5850 (H,wt=26): 6575 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6567(a,1),5854(a,1,2))]. given #5851 (H,wt=26): 6580 R(x,y,z) \ K(x,u) != w * v5 | w \ (K(x,u) * (R(x,y,z) \ 1)) = v5. [para(6578(a,1),513(a,1))]. given #5852 (H,wt=26): 6583 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6582(a,2),43(a,1))]. given #5853 (H,wt=26): 6731 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6717(a,1),5942(a,1,1))]. given #5854 (H,wt=24): 7325 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(6414(a,1),6731(a,1,2))]. given #5855 (H,wt=24): 7326 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7078(a,1),7325(a,1,2))]. given #5856 (H,wt=26): 6769 (x * y) \ ((x * K(z,u \ x)) * y) = R(T(K(z,x / u),x * y),x,y). [para(6732(a,1),588(a,1,2,1))]. given #5857 (H,wt=26): 6875 (((T(x,y) * z) \ 1) * K(x,y)) * x = L(z,T(x,y),T(x,y) \ 1) \ 1. [hyper(286,a,6418,a,b,6864,a),flip(a)]. given #5858 (H,wt=20): 7327 L(x,T(y,z),T(y,z) \ 1) \ 1 = ((y * x) \ 1) * y. [para(6440(a,1),6875(a,1,1)),flip(a)]. given #5859 (H,wt=18): 7329 L(x,T(y,z),y \ 1) \ 1 = ((y * x) \ 1) * y. [para(6524(a,1),7327(a,1,1))]. given #5860 (H,wt=15): 7330 L(x,T(y,z),y \ 1) = L(x,y,y \ 1). [hyper(6450,a,7329,a),flip(a)]. given #5861 (H,wt=21): 7332 L(x / T(y,z),y,y \ 1) = L(x,y \ 1,y) / T(y,z). [hyper(62,a,7232,a(flip),b,7330,a),flip(a)]. given #5862 (H,wt=26): 6884 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6864(a,1),14(a,2,1,2)),flip(a)]. given #5863 (H,wt=26): 6947 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6796(a,2),93(a,1,2,2)),flip(a)]. given #5864 (H,wt=23): 7335 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6947(a,2),7047(a,1))]. given #5865 (H,wt=26): 6951 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6796(a,1),6651(a,1,1,2))]. given #5866 (H,wt=26): 7020 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6864(a,1),7015(a,1,2,1))]. given #5867 (H,wt=26): 7171 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(76(a,1),6987(a,1,2,2)),flip(a)]. given #5868 (H,wt=24): 7336 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3644(a,1),7171(a,2,2))]. given #5869 (H,wt=19): 7337 (T(x,y \ 1) / y) \ x = x / (y \ T(x,y \ 1)). [hyper(62,a,3686,a(flip),b,7336,a)]. given #5870 (H,wt=23): 7338 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3067(a,1),7337(a,2,2,2))]. given #5871 (H,wt=19): 7339 (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3067(a,1),7338(a,1,1,1))]. given #5872 (H,wt=19): 7340 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(175,a,7339,a(flip))]. given #5873 (H,wt=25): 7341 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(110(a,1),7340(a,1,1,1,1))]. given #5874 (H,wt=23): 7342 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(110(a,1),7341(a,2,2))]. given #5875 (H,wt=19): 7343 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(7274(a,1),7342(a,1,1))]. given #5876 (H,wt=21): 7344 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4180(a,2),7343(a,1,1,2))]. given #5877 (H,wt=26): 7281 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(115,a,7280,a(flip),b,104,a)]. given #5878 (H,wt=26): 7282 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(7280(a,2),513(a,1))]. given #5879 (H,wt=26): 7285 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(116,a,7283,a(flip),b,104,a)]. given #5880 (H,wt=17): 7345 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2100,a,7285,a),flip(a)]. given #5881 (H,wt=26): 7286 (x * K(y,z)) * K(z,u) != w * v5 | w \ ((x * K(z,u)) * K(y,z)) = v5. [para(7283(a,1),513(a,1))]. given #5882 (H,wt=26): 7293 (x * y) \ ((x * K(z \ x,u)) * y) != w | K((z * y) \ (x * y),u) = w. [para(7292(a,1),301(a,1,2)),flip(b)]. given #5883 (H,wt=26): 7313 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4362(a,1),4540(a,1,2,2))]. given #5884 (H,wt=21): 7346 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(439,a,7313,a)]. given #5885 (H,wt=19): 7347 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4691(a,1),7346(a,1,1)),flip(a)]. given #5886 (H,wt=19): 7348 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(6899,a,7347,a)]. given #5887 (H,wt=23): 7349 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7348(a,1),4423(a,2,2))]. given #5888 (H,wt=26): 7324 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(6041(a,1),6056(a,1,2))]. given #5889 (H,wt=27): 4571 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(268(a,1),4558(a,1,2,1,2))]. given #5890 (H,wt=27): 4686 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4620(a,2),1481(a,1,1)),flip(a)]. given #5891 (H,wt=25): 7350 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4620(a,2),4686(a,2,2,1,1))]. given #5892 (H,wt=27): 4698 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4629(a,2),2478(a,1,2,1))]. given #5893 (H,wt=27): 4770 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(81(a,1),4632(a,1,2,1))]. given #5894 (H,wt=27): 5769 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4675(a,1),430(a,1,1))]. given #5895 (H,wt=25): 7352 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4675(a,1),5769(a,1,2)),flip(a)]. given #5896 (H,wt=18): 7353 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(286,a,18,a,b,7352,a),flip(a)]. given #5897 (H,wt=21): 7354 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(7352(a,2),439(a,1))]. given #5898 (H,wt=27): 5888 K(x,R(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). [para(459(a,1),5741(a,1,2))]. given #5899 (H,wt=27): 6021 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(286,a,2932,a(flip),b,5866,a),flip(a)]. given #5900 (H,wt=23): 7356 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3314(a,1),6021(a,1,2,2))]. given #5901 (H,wt=27): 6028 (x * (K(y,x) * z)) * u != w * ((x * z) * u) | R(K(y,x),x * z,u) = w. [para(5885(a,1),471(a,1,1))]. given #5902 (H,wt=27): 6051 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4053(a,1),6023(a,1,2)),flip(a)]. given #5903 (H,wt=23): 7357 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4780(a,1),6051(a,1,1))]. given #5904 (H,wt=27): 6100 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4821(a,2),4001(a,1,1))]. given #5905 (H,wt=27): 6282 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4757(a,2),6202(a,1,2,2))]. given #5906 (H,wt=27): 6399 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) != u | R(x,y \ 1,z \ 1) = u. [para(6394(a,1),473(a,1,2))]. given #5907 (H,wt=27): 6473 K(x \ 1,y) * (T(x \ 1,z) * u) = T(x \ 1,y) * (K(x,z \ 1) * u). [para(6458(a,1),5771(a,2,2,1))]. given #5908 (H,wt=27): 6504 K(x,(((y \ 1) / z) * u) \ (w \ 1)) = K(x,((u \ 1) * ((z \ 1) \ y)) / w). [para(6426(a,1),6432(a,2,2,1))]. given #5909 (H,wt=27): 6561 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(327,a,6362,a)]. given #5910 (H,wt=23): 7359 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(76(a,1),6561(a,1,1,1,1,2)),flip(a)]. given #5911 (H,wt=21): 7360 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6782(a,1),7359(a,1,2))]. given #5912 (H,wt=21): 7361 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(4885(a,2),7360(a,1,2,1,2))]. given #5913 (H,wt=27): 6562 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(62,a,6243,a,b,6364,a)]. given #5914 (H,wt=23): 7362 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(912(a,1),6562(a,1,1))]. given #5915 (H,wt=27): 6657 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(805(a,1),6640(a,1,1,2))]. given #5916 (H,wt=25): 7364 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(108(a,1),6657(a,1,1,2,2))]. given #5917 (H,wt=25): 7365 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4571(a,2),7364(a,1,1))]. given #5918 (H,wt=27): 6907 (x * K(y,z)) * (K(z,y) * u) != x * w | L(u,K(z,y),x * K(y,z)) = w. [para(6883(a,1),435(a,1,1)),flip(a)]. given #5919 (H,wt=27): 7064 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6164(a,2),6916(a,2,2))]. given #5920 (H,wt=27): 7130 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6613(a,1),7125(a,1,1)),flip(a)]. given #5921 (H,wt=27): 7149 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2273(a,2),6724(a,1,2))]. given #5922 (H,wt=27): 7164 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4635(a,1),7157(a,2,1))]. given #5923 (H,wt=23): 7367 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4714(a,1),7164(a,1,1,2))]. given #5924 (H,wt=21): 7368 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4692(a,1),7367(a,1,2,2))]. given #5925 (H,wt=27): 7358 K(x,y \ 1) * (T(x \ 1,z) * u) = T(x \ 1,y) * (K(x,z \ 1) * u). [hyper(62,a,6462,a(flip),b,6473,a)]. given #5926 (H,wt=27): 7363 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4463(a,1),7362(a,1,1)),flip(a)]. given #5927 (H,wt=21): 7369 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4500(a,1),7363(a,1,2)),flip(a)]. given #5928 (H,wt=15): 7370 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(286,a,4827,a,b,7369,a)]. given #5929 (H,wt=17): 7371 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(9(a,1),7370(a,2,2,1)),flip(a)]. given #5930 (H,wt=23): 7372 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5839(a,1),7371(a,1,2))]. given #5931 (H,wt=23): 7373 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7257(a,2),7372(a,1,1))]. given #5932 (H,wt=21): 7374 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(8(a,1),7373(a,1,2))]. given #5933 (H,wt=27): 7366 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(4885(a,2),7064(a,2,2,1,1,1,1))]. given #5934 (H,wt=25): 7375 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(286,a,7361,a(flip),b,7366,a),flip(a)]. given #5935 (H,wt=15): 7376 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(6453(a,1),7375(a,2,1))]. given #5936 (H,wt=15): 7377 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(286,a,4618,a(flip),b,7376,a),flip(a)]. given #5937 (H,wt=28): 4504 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(195(a,2),4495(a,2,2,2,1))]. given #5938 (H,wt=28): 4508 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(197(a,2),4497(a,1,1,1,2))]. given #5939 (H,wt=28): 4858 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2739(a,2),4637(a,1))]. given #5940 (H,wt=28): 5959 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4648(a,1),3372(a,1,1))]. given #5941 (H,wt=22): 7382 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5958(a,1),5959(a,2,1))]. given #5942 (H,wt=14): 7384 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(34,a,3869,a(flip),b,7382,a),flip(a)]. given #5943 (H,wt=17): 7383 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(34,a,104,a,b,7382,a)]. given #5944 (H,wt=17): 7387 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3314(a,1),7383(a,1,1)),flip(a)]. given #5945 (H,wt=17): 7391 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7387(a,1),6241(a,1,1)),flip(a)]. given #5946 (H,wt=15): 7392 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3235,a,7391,a)]. given #5947 (H,wt=18): 7393 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(566,a,7391,a)]. given #5948 (H,wt=18): 7394 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(531,a,7391,a)]. given #5949 (H,wt=18): 7396 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(7391(a,2),123(a,1)),flip(b)]. given #5950 (H,wt=19): 7388 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5964(a,1),7383(a,1,1)),flip(a)]. given #5951 (H,wt=18): 7397 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(562(a,1),7388(a,1,2)),flip(a)]. given #5952 (H,wt=19): 7389 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6717(a,1),7383(a,1,1)),flip(a)]. given #5953 (H,wt=19): 7390 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(7387(a,1),4659(a,2,2))]. given #5954 (H,wt=20): 7385 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),7384(a,1,2,1))]. given #5955 (H,wt=22): 7395 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(62,a,5909,a(flip),b,7391,a),flip(a)]. given #5956 (H,wt=28): 5983 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(4107(a,2),5979(a,1))]. given #5957 (H,wt=28): 5993 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(81(a,1),5991(a,2,2))]. given #5958 (H,wt=28): 6025 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(104(a,1),5885(a,1,2)),flip(a)]. given #5959 (H,wt=25): 7399 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(62,a,6102,a(flip),b,6025,a)]. given #5960 (H,wt=22): 7400 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(266,a,7399,a),flip(a)]. given #5961 (H,wt=22): 7401 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6041(a,1),7400(a,2,1))]. given #5962 (H,wt=15): 7402 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [hyper(34,a,6024,a,b,7401,a)]. given #5963 (H,wt=14): 7403 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4431,a,7402,a),flip(a)]. given #5964 (H,wt=15): 7405 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(10(a,1),7402(a,1,2)),flip(a)]. given #5965 (H,wt=17): 7407 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(108(a,1),7402(a,1,2))]. given #5966 (H,wt=17): 7410 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(62,a,7244,a(flip),b,7405,a)]. given #5967 (H,wt=17): 7412 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(133,a,7410,a),flip(a)]. given #5968 (H,wt=18): 7411 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(101(a,1),7405(a,1,2))]. given #5969 (H,wt=18): 7414 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(76(a,1),7411(a,1,2,2,1)),flip(a)]. given #5970 (H,wt=18): 7416 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),7414(a,2,2,2))]. given #5971 (H,wt=18): 7418 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(6770(a,2),7416(a,1,1))]. given #5972 (H,wt=15): 7419 K(x,(y / z) \ x) = K(x,(x * z) / y). [hyper(4431,a,7418,a)]. given #5973 (H,wt=18): 7421 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(7418(a,1),4431(a,1))]. given #5974 (H,wt=19): 7404 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(62,a,6236,a(flip),b,7402,a)]. given #5975 (H,wt=19): 7406 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(7402(a,1),27(a,2,1))]. given #5976 (H,wt=20): 7415 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),7414(a,2,2,1))]. given #5977 (H,wt=20): 7420 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(286,a,5964,a,b,7418,a),flip(a)]. given #5978 (H,wt=20): 7424 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(11(a,1),7420(a,1,1,2,1))]. given #5979 (H,wt=21): 7409 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4643(a,1),7402(a,1,2))]. given #5980 (H,wt=21): 7423 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1663(a,1),7419(a,2,2))]. given #5981 (H,wt=21): 7427 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4565(a,2),7423(a,1,2,1))]. given #5982 (H,wt=24): 7413 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(7410(a,1),298(a,1,2))]. given #5983 (H,wt=24): 7417 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(3589(a,2),7414(a,1,1,2))]. given #5984 (H,wt=24): 7425 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(7420(a,1),27(a,2,1))]. given #5985 (H,wt=25): 7408 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(104(a,1),7402(a,1,2))]. given #5986 (H,wt=26): 7426 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(12(a,1),7424(a,2,2,1,2))]. given #5987 (H,wt=23): 7429 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(6494,a,7426,a)]. given #5988 (H,wt=21): 7430 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(286,a,5964,a(flip),b,7429,a),flip(a)]. given #5989 (H,wt=22): 7431 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7430(a,1),6493(a,1))]. given #5990 (H,wt=26): 7428 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(7403(a,1),7408(a,1,1))]. given #5991 (H,wt=22): 7432 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(62,a,7241,a(flip),b,7428,a),flip(a)]. given #5992 (H,wt=26): 7433 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7432(a,1),5844(a,1,2,1)),flip(a)]. given #5993 (H,wt=25): 7434 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7433(a,2),5854(a,1))]. given #5994 (H,wt=28): 6091 R(T(L(x * K(y,x),z,u),y * w),y,w) = (y * w) \ ((y * L(x,z,u)) * w). [para(4707(a,1),588(a,1,2,1)),flip(a)]. given #5995 (H,wt=28): 6223 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. [para(983(a,1),6014(a,1,2,1))]. given #5996 (H,wt=28): 6224 ((x * y) / x) * ((((x * y) / x) \ y) / y) != z | K(y,1 / ((x * y) / x)) = z. [para(1297(a,1),6014(a,1,2,1))]. given #5997 (H,wt=28): 6342 (((x \ 1) * x) \ y) \ (x \ ((x \ 1) \ y)) = a(x \ 1,x,x \ ((x \ 1) \ y)). [para(268(a,1),6339(a,1,1))]. given #5998 (H,wt=24): 7436 a(x \ 1,x,x \ ((x \ 1) \ y)) = (1 \ y) \ (x \ ((x \ 1) \ y)). [para(4888(a,1),6342(a,1,1,1)),flip(a)]. given #5999 (H,wt=22): 7437 a(x \ 1,x,x \ ((x \ 1) \ y)) = y \ (x \ ((x \ 1) \ y)). [para(64(a,1),7436(a,2,1))]. given #6000 (H,wt=28): 6530 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4767(a,1),6077(a,1))]. given #6001 (H,wt=28): 6631 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6613(a,1),4073(a,1,1,2))]. given #6002 (H,wt=28): 6669 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1256(a,1),6651(a,1,1,2))]. given #6003 (H,wt=19): 7440 K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). [hyper(6669,a,7275,a)]. given #6004 (H,wt=15): 7441 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(10(a,1),7440(a,1,2,1)),flip(a)]. given #6005 (H,wt=19): 7442 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(73(a,1),7440(a,2,2,1,2))]. given #6006 (H,wt=19): 7443 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(328(a,1),7442(a,1,2,1)),flip(a)]. given #6007 (H,wt=17): 7444 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6603(a,1),7443(a,1,2,1))]. given #6008 (H,wt=15): 7445 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4627(a,1),7444(a,1,2,1)),flip(a)]. given #6009 (H,wt=28): 7045 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6928(a,1),261(a,1,2))]. given #6010 (H,wt=28): 7284 (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) = a(x,K(y,z),K(z,u)). [hyper(115,a,7283,a,b,81,a)]. given #6011 (H,wt=20): 7446 a(x,K(y,z),K(z,u)) != w | a(x,K(z,u),K(y,z)) = w. [para(7284(a,1),2101(a,1))]. given #6012 (H,wt=28): 7322 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4826(a,1),862(a,1,1,1))]. given #6013 (H,wt=24): 7447 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),7322(a,2,1,1))]. given #6014 (H,wt=28): 7380 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(62,a,4495,a(flip),b,4504,a),flip(a)]. given #6015 (H,wt=28): 7381 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3583(a,2),4508(a,1,1))]. given #6016 (H,wt=25): 7449 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(266,a,7381,a),flip(a)]. given #6017 (H,wt=28): 7398 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(488(a,1),7385(a,1,2,1)),flip(a)]. given #6018 (H,wt=26): 7450 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(286,a,5964,a(flip),b,7398,a),flip(a)]. given #6019 (H,wt=24): 7451 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(62,a,7388,a(flip),b,7450,a)]. given #6020 (H,wt=24): 7452 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6770(a,2),7451(a,1,1))]. given #6021 (H,wt=22): 7453 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,7241,a(flip),b,7452,a),flip(a)]. given #6022 (H,wt=24): 7454 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(10(a,1),7453(a,1,2,1,1)),flip(a)]. given #6023 (H,wt=22): 7456 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(62,a,7237,a(flip),b,7454,a),flip(a)]. given #6024 (H,wt=28): 7435 R(L(T(x * K(y,x),y * z),u,w),y,z) = (y * z) \ ((y * L(x,u,w)) * z). [para(25(a,2),6091(a,1,1))]. given #6025 (H,wt=28): 7439 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6612(a,2),6631(a,2,2))]. given #6026 (H,wt=26): 7458 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(286,a,4153,a(flip),b,7439,a),flip(a)]. given #6027 (H,wt=28): 7448 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4552(a,2),7380(a,1,2))]. given #6028 (H,wt=25): 7459 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(261,a,7448,a),flip(a)]. given #6029 (H,wt=28): 7457 L(R(T(x * K(y,x),y * z),y,z),u,w) = (y * z) \ ((y * L(x,u,w)) * z). [hyper(62,a,29,a(flip),b,7435,a)]. given #6030 (H,wt=27): 7460 L((x * y) \ ((z * T(x,z)) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). [para(6889(a,1),7457(a,1,1))]. given #6031 (H,wt=25): 7461 L((x * y) \ ((x * z) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). [para(108(a,1),7460(a,1,1,2,1))]. given #6032 (H,wt=29): 4438 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4393(a,2),439(a,1,2,2))]. given #6033 (H,wt=29): 4573 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(4559(a,2),513(a,1))]. given #6034 (H,wt=29): 4802 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(4781(a,1),1993(a,2,1,2,1))]. given #6035 (H,wt=29): 5874 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(5846(a,1),655(a,1,1,2))]. given #6036 (H,wt=29): 5875 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5846(a,1),430(a,1,1)),flip(a)]. given #6037 (H,wt=21): 7464 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5846(a,1),5875(a,2,2))]. given #6038 (H,wt=20): 7465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | x = w. [para(7464(a,2),302(a,1))]. given #6039 (H,wt=27): 7467 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) != w | z \ (K(y,x) * u) = w. [para(5856(a,1),7465(a,1,1))]. given #6040 (H,wt=29): 5905 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5848(a,1),1681(a,1,2,2,1))]. given #6041 (H,wt=27): 7468 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(214(a,1),5905(a,1,2)),flip(a)]. given #6042 (H,wt=25): 7469 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4781(a,1),7468(a,1,1,2,1))]. given #6043 (H,wt=29): 5906 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5848(a,1),1870(a,1,2,2,1))]. given #6044 (H,wt=27): 7470 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(215(a,1),5906(a,1,2)),flip(a)]. given #6045 (H,wt=25): 7471 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4781(a,1),7470(a,1,1,2,1))]. given #6046 (H,wt=29): 6029 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5885(a,1),430(a,1,1))]. given #6047 (H,wt=29): 6081 L(K(x * y,x) \ z,K(x * y,x),K(x,y)) = (x \ R(x,y,x)) \ (K(x,y) * z). [para(5942(a,1),94(a,2,1))]. given #6048 (H,wt=29): 6288 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(362(a,1),6267(a,1,2,2,1,2))]. given #6049 (H,wt=29): 6357 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(109(a,2),6201(a,1,2,2,1))]. given #6050 (H,wt=25): 7474 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(286,a,1752,a(flip),b,6357,a),flip(a)]. given #6051 (H,wt=23): 7475 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(286,a,4124,a(flip),b,7474,a),flip(a)]. given #6052 (H,wt=29): 6374 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6373(a,1),1725(a,2,2,1))]. given #6053 (H,wt=25): 7476 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(7065(a,1),6374(a,1,1,1))]. given #6054 (H,wt=29): 6377 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(197(a,1),6376(a,2,3))]. given #6055 (H,wt=27): 7477 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3328(a,1),6377(a,1,1))]. given #6056 (H,wt=27): 7478 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(4885(a,2),7477(a,1,1,1,1,2,1))]. given #6057 (H,wt=29): 6908 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6883(a,1),655(a,1,1,2))]. given #6058 (H,wt=29): 7351 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(115,a,4698,a(flip),b,4643,a),flip(a)]. given #6059 (H,wt=29): 7355 L(L(x,y,z \ 1),(z \ 1) * y,K(z,u \ 1)) != w | L(x,y,T(z \ 1,u)) = w. [para(6458(a,1),7354(a,1,3))]. given #6060 (H,wt=29): 7462 L(((x / y) * y) \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). [para(12(a,1),7461(a,2,1))]. given #6061 (H,wt=25): 7480 L(x \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). [para(12(a,1),7462(a,1,1,1))]. given #6062 (H,wt=29): 7472 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5885(a,1),6029(a,1,2))]. given #6063 (H,wt=20): 7481 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(62,a,7324,a(flip),b,7472,a),flip(a)]. given #6064 (H,wt=29): 7479 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(62,a,937,a(flip),b,7351,a)]. given #6065 (H,wt=30): 5873 a(x / K(y,z),K(y,z),K(z,y) * u) = ((x / K(y,z)) * u) \ (x * (K(z,y) * u)). [para(5846(a,1),84(a,1,1,2)),flip(a)]. given #6066 (H,wt=30): 6136 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = (x * y) * T(L(z,y,x),u). [para(18(a,2),5704(a,1,2,1)),flip(a)]. given #6067 (H,wt=27): 7483 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = x * (y * T(z,u)). [hyper(286,a,432,a(flip),b,6136,a),flip(a)]. given #6068 (H,wt=25): 7484 (x * (y * z)) * K((x * y) \ (x * (y * z)),u) = x * (y * T(z,u)). [para(6782(a,1),7483(a,1,2))]. given #6069 (H,wt=20): 7485 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [para(18(a,2),7484(a,1,2,1))]. given #6070 (H,wt=20): 7486 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(7485(a,1),6895(a,1,1))]. given #6071 (H,wt=30): 6281 ((x / y) * (y * z)) \ (((y \ x) * T(y,y \ x)) * z) = a(y \ x,T(y,y \ x),z). [para(6195(a,1),14(a,2,1)),flip(a)]. given #6072 (H,wt=22): 7487 a(x \ y,T(x,x \ y),z) = ((y / x) * (x * z)) \ (y * z). [para(201(a,1),6281(a,1,2,1)),flip(a)]. given #6073 (H,wt=20): 7488 a(x \ y,T(x,x \ y),z) != u | a(y / x,x,z) = u. [para(7487(a,2),853(a,1))]. given #6074 (H,wt=30): 6347 (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),6131(a,2,2))]. given #6075 (H,wt=26): 7489 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3388(a,1),6347(a,1,2,1,1))]. given #6076 (H,wt=22): 7490 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2932(a,1),7489(a,1,2))]. given #6077 (H,wt=30): 6370 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6344(a,1),471(a,1))]. given #6078 (H,wt=13): 7491 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6370,a,6577,a)]. given #6079 (H,wt=10): 7492 R(K(x,y),y,z) = K(x,y). [para(347(a,1),7491(a,1,2))]. given #6080 (H,wt=14): 7495 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(62,a,6236,a(flip),b,7492,a)]. given #6081 (H,wt=15): 7494 K((x * y) / z,x) = K(x / (z / y),x). [hyper(62,a,7246,a(flip),b,7492,a)]. given #6082 (H,wt=15): 7497 K((x / y) \ z,z) = K((z * y) / x,z). [hyper(286,a,6952,a,b,7494,a)]. given #6083 (H,wt=17): 7493 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(7491(a,1),7410(a,1,1,2)),flip(a)]. given #6084 (H,wt=13): 7499 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(286,a,6895,a(flip),b,7493,a),flip(a)]. given #6085 (H,wt=18): 7498 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7494(a,2),7092(a,1))]. given #6086 (H,wt=21): 7500 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(62,a,7416,a(flip),b,7499,a)]. given #6087 (H,wt=30): 6506 K(L(x,y,z) \ x,u \ 1) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). [para(4563(a,1),6472(a,1,2))]. given #6088 (H,wt=30): 6829 L(K(x,y),z * x,u / (z * T(x,y))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [para(6811(a,1),97(a,1,3,2))]. given #6089 (H,wt=30): 6858 L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(2586(a,2),6857(a,1,2))]. given #6090 (H,wt=28): 7501 L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(6786(a,1),6858(a,1,1))]. given #6091 (H,wt=24): 7502 L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). [para(76(a,1),7501(a,1,1,1))]. given #6092 (H,wt=20): 7504 L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). [para(4884(a,1),7502(a,1,2,2,2))]. given #6093 (H,wt=18): 7505 L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). [hyper(286,a,6786,a(flip),b,7504,a),flip(a)]. given #6094 (H,wt=14): 7506 L(K(x,y),z \ (z / x),u) = K(x,y). [hyper(286,a,632,a(flip),b,7505,a),flip(a)]. given #6095 (H,wt=14): 7507 K((x / y) \ x,z) != u | K(y,z) = u. [para(7505(a,1),335(a,1)),flip(b)]. given #6096 (H,wt=14): 7510 K(x \ (x * y),z) != u | K(y,z) = u. [para(11(a,1),7507(a,1,1,1))]. given #6097 (H,wt=16): 7512 K(1 / ((x * y) \ x),z) != u | K(y,z) = u. [para(6786(a,2),7510(a,1))]. given #6098 (H,wt=25): 7509 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). [para(7506(a,1),723(a,1,1)),flip(a)]. given #6099 (H,wt=23): 7513 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). [hyper(286,a,6759,a(flip),b,7509,a),flip(a)]. given #6100 (H,wt=19): 7515 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = K(y,z). [hyper(286,a,1474,a(flip),b,7513,a),flip(a)]. given #6101 (H,wt=30): 7051 ((x \ 1) \ y) * R(((x \ 1) \ y) \ 1,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(445(a,1),6711(a,2,1))]. given #6102 (H,wt=28): 7516 ((x \ 1) \ y) * R((y \ 1) / x,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(6411(a,1),7051(a,1,2,1))]. given #6103 (H,wt=25): 7517 ((x \ 1) \ y) * ((y \ 1) * (x \ 1)) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(560(a,1),7516(a,1,2))]. given #6104 (H,wt=23): 7518 (1 \ (x * y)) \ ((x \ 1) \ y) = ((x \ 1) \ y) * ((x * y) \ 1). [para(6394(a,1),7517(a,1,2)),flip(a)]. given #6105 (H,wt=21): 7519 ((x \ 1) \ y) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). [para(64(a,1),7518(a,1,1)),flip(a)]. given #6106 (H,wt=23): 7521 ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * (((x \ 1) \ y) \ 1). [para(7519(a,1),6403(a,1,1))]. given #6107 (H,wt=21): 7522 ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * ((y \ 1) / x). [para(6411(a,1),7521(a,2,2))]. given #6108 (H,wt=24): 7520 (x * y) \ ((x \ 1) \ y) != z * ((x * y) \ 1) | (x \ 1) \ y = z. [para(7519(a,1),43(a,1))]. given #6109 (H,wt=24): 7523 x \ 1 != (y * z) * ((z \ 1) / y) | (y * z) \ ((y \ 1) \ z) = x. [para(7522(a,1),47(a,1)),flip(a)]. given #6110 (H,wt=30): 7143 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(454(a,1),7141(a,1,1))]. given #6111 (H,wt=30): 7219 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7217(a,1),481(a,1,1))]. given #6112 (H,wt=25): 7524 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(62,a,7415,a(flip),b,7219,a),flip(a)]. given #6113 (H,wt=30): 7323 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(824(a,1),5709(a,1,2))]. given #6114 (H,wt=30): 7482 a(x / K(y,z),K(y,z),K(z,y) * u) = ((x * K(z,y)) * u) \ (x * (K(z,y) * u)). [para(6892(a,1),5873(a,2,1,1))]. given #6115 (H,wt=30): 7525 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1678(a,2),7323(a,1,2))]. given #6116 (H,wt=27): 7526 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(261,a,7525,a)]. given #6117 (H,wt=23): 7527 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6260(a,1),7526(a,1,2)),flip(a)]. given #6118 (H,wt=21): 7528 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5741(a,1),7527(a,2,2))]. given #6119 (H,wt=21): 7529 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(76(a,1),7528(a,1,1,2,1))]. given #6120 (H,wt=17): 7530 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(76(a,1),7529(a,2,2,1,2))]. given #6121 (H,wt=17): 7531 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(115,a,6948,a(flip),b,7530,a(flip))]. given #6122 (H,wt=17): 7534 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6883(a,1),7530(a,1,1)),flip(a)]. given #6123 (H,wt=17): 7535 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(109(a,1),7531(a,2,1))]. given #6124 (H,wt=17): 7537 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(7535(a,1),4475(a,1,1)),flip(a)]. given #6125 (H,wt=19): 7538 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(62,a,3894,a(flip),b,7537,a)]. given #6126 (H,wt=21): 7539 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(4563(a,1),7538(a,2,1,1))]. given #6127 (H,wt=23): 7536 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4635(a,1),7534(a,1,2,1))]. given #6128 (H,wt=19): 7540 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4784(a,1),7536(a,1,1,2))]. given #6129 (H,wt=17): 7541 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(4804(a,1),7540(a,2,2))]. given #6130 (H,wt=31): 4503 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3806,a,4495,a),flip(a)]. given #6131 (H,wt=31): 5751 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4644(a,1),430(a,1,1)),flip(a)]. given #6132 (H,wt=25): 7543 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4644(a,1),5751(a,2,2))]. given #6133 (H,wt=23): 7544 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(7543(a,2),439(a,1))]. given #6134 (H,wt=31): 6229 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(171(a,1),6026(a,1,2,2))]. given #6135 (H,wt=31): 6628 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6610(a,1),466(a,1,2)),flip(a)]. given #6136 (H,wt=25): 7546 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6610(a,1),6628(a,2,1))]. given #6137 (H,wt=20): 7547 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(286,a,20,a,b,7546,a),flip(a)]. given #6138 (H,wt=24): 7550 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(201(a,1),7547(a,1,2))]. given #6139 (H,wt=20): 7551 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7137(a,1),7550(a,1,1))]. given #6140 (H,wt=31): 6859 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6821(a,1),874(a,1,1,2)),flip(a)]. given #6141 (H,wt=31): 6860 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6821(a,1),6124(a,1,2))]. given #6142 (H,wt=31): 7542 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4495(a,1),4503(a,2,1))]. given #6143 (H,wt=31): 7552 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(286,a,4479,a,b,6859,a)]. given #6144 (H,wt=23): 7554 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3723(a,1),7552(a,1,1)),flip(a)]. given #6145 (H,wt=23): 7555 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7554(a,1),6860(a,1,1)),flip(a)]. given #6146 (H,wt=19): 7556 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(286,a,5759,a(flip),b,7555,a),flip(a)]. given #6147 (H,wt=32): 4530 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(116,a,4406,a(flip),b,104,a)]. given #6148 (H,wt=32): 4531 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3544,a,4407,a),flip(a)]. given #6149 (H,wt=20): 7561 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4432(a,1),4531(a,1,2)),flip(a)]. given #6150 (H,wt=15): 7565 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(286,a,18,a,b,7561,a),flip(a)]. given #6151 (H,wt=13): 7566 L(x,y \ 1,z) = L(x,1 / y,z). [para(1071(a,1),7565(a,1,2))]. given #6152 (H,wt=15): 7568 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2153(a,2),7565(a,1,2))]. given #6153 (H,wt=17): 7569 L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). [para(2567(a,1),7565(a,1,2))]. given #6154 (H,wt=20): 7572 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(7566(a,2),92(a,1,2))]. given #6155 (H,wt=22): 7574 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(76(a,1),7572(a,1,2,2))]. given #6156 (H,wt=25): 7575 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(7574(a,1),42(a,1)),flip(a)]. given #6157 (H,wt=32): 6632 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(6613(a,1),4074(a,1,1,1,2))]. given #6158 (H,wt=32): 7132 L(K(x,y \ 1),z / x,(z / x) \ 1) \ 1 = ((z / (T(x \ 1,y) \ 1)) \ 1) * (z / x). [para(7131(a,2),6418(a,2,1,1))]. given #6159 (H,wt=32): 7496 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(702(a,1),7495(a,1,1,1))]. given #6160 (H,wt=30): 7576 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5978,a,7496,a),flip(a)]. given #6161 (H,wt=28): 7578 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(286,a,6143,a(flip),b,7576,a),flip(a)]. given #6162 (H,wt=26): 7579 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5978,a,7578,a)]. given #6163 (H,wt=24): 7581 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6493,a,7579,a)]. given #6164 (H,wt=32): 7557 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3505(a,1),4530(a,1,2))]. given #6165 (H,wt=32): 7582 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(62,a,4397,a(flip),b,7557,a)]. given #6166 (H,wt=27): 7586 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3574(a,1),7582(a,1,2))]. given #6167 (H,wt=15): 7590 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5937,a,7586,a),flip(a)]. given #6168 (H,wt=33): 4156 (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(3938(a,1),207(a,1,1,2))]. given #6169 (H,wt=31): 7594 (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(1119(a,1),4156(a,1,1))]. given #6170 (H,wt=29): 7595 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1143(a,1),7594(a,1,2))]. given #6171 (H,wt=19): 7596 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(655,a,7595,a),flip(a)]. given #6172 (H,wt=22): 7597 a(x,T(y,x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. [para(7595(a,1),655(a,1))]. given #6173 (H,wt=25): 7598 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,4267,a,b,7596,a)]. given #6174 (H,wt=23): 7599 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3913(a,1),7598(a,1,1))]. given #6175 (H,wt=33): 4833 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4649(a,2),1583(a,1,2)),flip(a)]. given #6176 (H,wt=29): 7600 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4649(a,2),4833(a,1,2,1,2,2))]. given #6177 (H,wt=27): 7601 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(62,a,2257,a(flip),b,7600,a)]. given #6178 (H,wt=23): 7602 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4496(a,1),7601(a,1,1))]. given #6179 (H,wt=19): 7603 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(228,a,7602,a)]. given #6180 (H,wt=25): 7605 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7603(a,1),7350(a,1,1))]. given #6181 (H,wt=17): 7606 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(228,a,7605,a),flip(a)]. given #6182 (H,wt=17): 7607 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(682,a,7606,a),flip(a)]. given #6183 (H,wt=15): 7610 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(34,a,6864,a,b,7607,a),flip(a)]. given #6184 (H,wt=13): 7613 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(216,a,7610,a(flip),b,5714,a)]. given #6185 (H,wt=13): 7616 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5979,a,7613,a)]. given #6186 (H,wt=13): 7617 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2229(a,1),7616(a,1,1)),flip(a)]. given #6187 (H,wt=15): 7612 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6888,a,7610,a)]. given #6188 (H,wt=15): 7618 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(6583,a,7612,a),flip(a)]. given #6189 (H,wt=15): 7622 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(6569,a,7618,a)]. given #6190 (H,wt=15): 7623 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(286,a,5876,a,b,7618,a),flip(a)]. given #6191 (H,wt=15): 7628 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(9(a,1),7622(a,1,2,1)),flip(a)]. given #6192 (H,wt=15): 7631 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(7622(a,1),6581(a,1,1)),flip(a)]. given #6193 (H,wt=17): 7609 T(T(x,y) \ (x * z),x) = T(x,y) \ (z * x). [hyper(4579,a,7607,a),flip(a)]. given #6194 (H,wt=17): 7611 T(x * K(y,z),y) * y = T(x,y) * T(y,z). [para(6866(a,2),7607(a,1,1))]. given #6195 (H,wt=17): 7619 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(286,a,6822,a,b,7612,a)]. given #6196 (H,wt=17): 7620 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(110(a,1),7612(a,2,1))]. given #6197 (H,wt=15): 7643 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(62,a,6959,a(flip),b,7620,a)]. given #6198 (H,wt=15): 7644 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(131,a,7643,a)]. given #6199 (H,wt=15): 7648 (x * y) * K(x,z) = x * (y * K(x,z)). [para(9(a,1),7644(a,1,2,1)),flip(a)]. given #6200 (H,wt=8): 7650 R(x,y,K(x,z)) = x. [hyper(7165,a,7648,a)]. given #6201 (H,wt=10): 7649 L(K(x,y),z,x) = K(x,y). [hyper(7575,a,7648,a)]. given #6202 (H,wt=8): 7663 a(x,y,K(x,z)) = 1. [hyper(52,a,7649,a)]. given #6203 (H,wt=10): 7662 K(L(x,y,x),z) = K(x,z). [hyper(62,a,7083,a(flip),b,7649,a)]. given #6204 (H,wt=10): 7667 K(R(x,y,x),z) = K(x,z). [para(4291(a,1),7662(a,1,1)),flip(a)]. given #6205 (H,wt=10): 7670 R(K(x,y),z,x) = K(x,y). [hyper(62,a,7237,a(flip),b,7667,a)]. given #6206 (H,wt=10): 7679 K(x,R(y,z,x)) = K(x,y). [hyper(62,a,7402,a(flip),b,7670,a)]. given #6207 (H,wt=12): 7653 R(T(x,y),z,K(x,u)) = T(x,y). [para(7650(a,1),27(a,2,1))]. given #6208 (H,wt=12): 7658 R(x \ 1,y,K(x,z)) = x \ 1. [para(6455(a,1),7650(a,1,3))]. given #6209 (H,wt=12): 7668 T(x,L(y,z,y)) = x / K(y,x). [para(7662(a,1),4620(a,2,2))]. given #6210 (H,wt=10): 7686 T(x,L(y,z,y)) = T(x,y). [hyper(286,a,4620,a,b,7668,a),flip(a)]. given #6211 (H,wt=10): 7693 T(x,R(y,z,y)) = T(x,y). [para(4291(a,1),7686(a,1,2)),flip(a)]. given #6212 (H,wt=12): 7672 x * K(R(x,y,x),z) = T(x,z). [para(7667(a,2),4659(a,2,2)),flip(a)]. given #6213 (H,wt=12): 7673 K(x,R(y,z,y)) = 1 / K(y,x). [para(7667(a,1),4794(a,1,2)),flip(a)]. given #6214 (H,wt=10): 7697 K(x,R(y,z,y)) = K(x,y). [hyper(286,a,4794,a(flip),b,7673,a),flip(a)]. given #6215 (H,wt=12): 7682 T(x,R(y,z,x)) = x * K(x,y). [para(7679(a,1),4659(a,2,2))]. given #6216 (H,wt=10): 7702 T(x,R(y,z,x)) = T(x,y). [hyper(286,a,4659,a,b,7682,a),flip(a)]. given #6217 (H,wt=12): 7687 T(x,L(y,z,y)) = x * K(x,y). [hyper(286,a,6892,a(flip),b,7668,a),flip(a)]. given #6218 (H,wt=10): 7711 K(x,L(y,z,y)) = K(x,y). [hyper(4727,a,7687,a)]. given #6219 (H,wt=13): 7666 K(T(x / (x / y),x),z) = K(y,z). [para(4073(a,2),7662(a,1,1))]. given #6220 (H,wt=13): 7692 T(x,T(y / z,y)) = T(x,z \ y). [para(4075(a,1),7686(a,1,2))]. given #6221 (H,wt=13): 7696 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4120(a,1),7693(a,1,2))]. given #6222 (H,wt=13): 7698 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7673(a,2),4797(a,1))]. given #6223 (H,wt=13): 7699 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4045(a,1),7697(a,1,2)),flip(a)]. given #6224 (H,wt=13): 7700 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4120(a,1),7697(a,1,2))]. given #6225 (H,wt=11): 7723 K(x,T(y,z)) = T(K(x,y),z). [hyper(62,a,6775,a(flip),b,7700,a),flip(a)]. given #6226 (H,wt=11): 7741 T(K(x,y),K(z,y)) = K(x,y). [para(2786(a,1),7723(a,1,2)),flip(a)]. given #6227 (H,wt=12): 7730 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(286,a,2957,a(flip),b,7723,a),flip(a)]. given #6228 (H,wt=13): 7712 K(x,T(y / z,y)) = K(x,z \ y). [para(4075(a,1),7711(a,1,2))]. given #6229 (H,wt=13): 7714 K((x \ y) \ y,z) = K(T(x,y),z). [para(176(a,1),7666(a,1,1,1)),flip(a)]. given #6230 (H,wt=13): 7716 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(73(a,1),7692(a,1,2,1)),flip(a)]. given #6231 (H,wt=13): 7721 K(x,T(y,z * y)) = K(x,T(y,z)). [para(3989(a,2),7699(a,1,2))]. given #6232 (H,wt=13): 7722 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(1724,a,7700,a)]. given #6233 (H,wt=13): 7729 K(x / y,T(z,x)) = K(y \ x,z). [hyper(286,a,6940,a(flip),b,7723,a),flip(a)]. given #6234 (H,wt=13): 7732 T(K(x * y,x),y) = K(x * y,x). [hyper(62,a,6779,a(flip),b,7723,a),flip(a)]. given #6235 (H,wt=13): 7736 x * K(y,T(z,x)) = K(y,z) * x. [para(7723(a,2),108(a,1,2))]. given #6236 (H,wt=13): 7743 x * T(K(x,y),z) = T(x,T(y,z)). [para(7723(a,1),4659(a,2,2)),flip(a)]. given #6237 (H,wt=13): 7744 K(x,K(y,T(z,x))) = K(x,K(y,z)). [para(7723(a,2),4775(a,1,2))]. given #6238 (H,wt=13): 7749 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7741(a,1),7616(a,1,1)),flip(a)]. given #6239 (H,wt=13): 7754 K((x \ y) \ y,z) = K(x,T(z,y)). [para(73(a,1),7729(a,1,1)),flip(a)]. given #6240 (H,wt=10): 7780 a(x,y,K(z,T(y,u))) = 1. [para(7754(a,1),6699(a,1,3))]. given #6241 (H,wt=11): 7777 K(T(x,y),z) = K(x,T(z,y)). [hyper(62,a,7714,a(flip),b,7754,a)]. given #6242 (H,wt=11): 7784 K(T(x,y),z) = T(K(x,z),y). [hyper(286,a,7723,a(flip),b,7777,a),flip(a)]. given #6243 (H,wt=11): 7799 K(x,T(y,K(x,z))) = K(x,y). [para(2937(a,1),7777(a,1,1)),flip(a)]. given #6244 (H,wt=11): 7800 K(T(x,K(y,z)),y) = K(x,y). [para(2937(a,1),7777(a,2,2))]. given #6245 (H,wt=13): 7763 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6899,a,7736,a)]. given #6246 (H,wt=13): 7782 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(4931,a,7777,a)]. given #6247 (H,wt=13): 7783 x / T(x,T(y,z)) = K(y,T(x,z)). [hyper(4631,a,7777,a)]. given #6248 (H,wt=13): 7785 K(T(x,y),y / z) = K(x,z \ y). [hyper(286,a,7712,a(flip),b,7777,a),flip(a)]. given #6249 (H,wt=13): 7793 K(x / y,T(z,y)) = K(y \ x,z). [para(110(a,1),7777(a,1,1)),flip(a)]. given #6250 (H,wt=13): 7794 K(T(x,y),z / y) = K(x,y \ z). [para(110(a,1),7777(a,2,2))]. given #6251 (H,wt=13): 7795 K((x * y) / x,T(z,x)) = K(y,z). [para(203(a,1),7777(a,1,1)),flip(a)]. given #6252 (H,wt=10): 7843 a(x,T(y,z),K(u,y)) = 1. [para(7795(a,1),6699(a,1,3))]. given #6253 (H,wt=12): 7845 L(K(x,y),T(y,z),u) = K(x,y). [hyper(51,a,7843,a)]. given #6254 (H,wt=13): 7801 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7777(a,1),4620(a,2,2)),flip(a)]. given #6255 (H,wt=13): 7802 T(x,T(y,z)) * K(y,T(x,z)) = x. [para(7777(a,1),4621(a,1,2))]. given #6256 (H,wt=13): 7803 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7777(a,1),4630(a,1,1))]. given #6257 (H,wt=13): 7808 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5791(a,1),7777(a,1,1)),flip(a)]. given #6258 (H,wt=13): 7822 x * K(T(y,x),z) = K(y,z) * x. [para(7777(a,2),7736(a,1,2))]. given #6259 (H,wt=13): 7827 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7777(a,1),7763(a,1,2))]. given #6260 (H,wt=13): 7828 (K(x,y) * z) * T(K(y,x),z) = z. [para(7784(a,1),7763(a,1,2))]. given #6261 (H,wt=13): 7842 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7795(a,1),6656(a,1,2))]. given #6262 (H,wt=13): 7847 K(x,y) != z | L(K(x,y),y,u) = z. [para(7845(a,1),4260(a,1))]. given #6263 (H,wt=13): 7851 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7822(a,1),6895(a,1,1))]. given #6264 (H,wt=13): 7854 (K(x,y) * z) \ z = T(K(y,x),z). [hyper(121,a,7828,a)]. given #6265 (H,wt=14): 7661 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(286,a,9,a,b,7649,a),flip(a)]. given #6266 (H,wt=13): 7857 L(K(x,y),z,x) != u | K(x,y) = u. [para(7661(a,2),301(a,1)),flip(b)]. given #6267 (H,wt=13): 7860 K(L(x,y,x),z) != u | K(x,z) = u. [para(7083(a,1),7857(a,1))]. given #6268 (H,wt=13): 7862 K(x,y) != z | K(R(x,u,x),y) = z. [para(4291(a,1),7860(a,1,1))]. given #6269 (H,wt=14): 7781 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(51,a,7780,a)]. given #6270 (H,wt=14): 7829 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7782(a,1),4783(a,1))]. given #6271 (H,wt=14): 7864 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7723(a,1),7829(a,1))]. given #6272 (H,wt=15): 7669 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7662(a,1),4738(a,1,1))]. given #6273 (H,wt=15): 7671 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7667(a,1),4659(a,2,2)),flip(a)]. given #6274 (H,wt=15): 7674 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7667(a,2),4663(a,1,2))]. given #6275 (H,wt=15): 7676 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7667(a,1),7242(a,1,1)),flip(a)]. given #6276 (H,wt=8): 7869 L(x,y,K(x,z)) = x. [hyper(7575,a,7676,a)]. given #6277 (H,wt=12): 7874 L(T(x,y),z,K(x,u)) = T(x,y). [para(7869(a,1),25(a,2,1))]. given #6278 (H,wt=12): 7879 L(x \ 1,y,K(x,z)) = x \ 1. [para(6455(a,1),7869(a,1,3))]. given #6279 (H,wt=12): 7881 L(K(x,y),z,K(x,u)) = K(x,y). [para(7869(a,1),7081(a,1,1)),flip(a)]. given #6280 (H,wt=13): 7895 x / T(K(y,z),x) = K(y,z) \ x. [para(7881(a,1),4233(a,1,1)),flip(a)]. given #6281 (H,wt=15): 7677 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(62,a,7416,a(flip),b,7670,a)]. given #6282 (H,wt=15): 7678 K(x,(y / x) / z) = K(x,y / (z * x)). [hyper(62,a,7415,a(flip),b,7670,a),flip(a)]. given #6283 (H,wt=15): 7688 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(638,a,7686,a),flip(a)]. given #6284 (H,wt=15): 7694 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(638,a,7693,a),flip(a)]. given #6285 (H,wt=15): 7695 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7693(a,1),108(a,1,2))]. given #6286 (H,wt=15): 7705 T(x,(y * x) / z) = T(x,y / (z / x)). [para(481(a,1),7702(a,1,2))]. given #6287 (H,wt=15): 7715 T(x,y \ T(x,z)) = T(x,T(x,z) / y). [hyper(5779,a,7692,a),flip(a)]. given #6288 (H,wt=15): 7720 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1736(a,1),7699(a,1,2)),flip(a)]. given #6289 (H,wt=15): 7727 K(1 / T(x,y),z) = K(1 / x,T(z,y)). [hyper(286,a,6352,a,b,7723,a)]. given #6290 (H,wt=15): 7728 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(286,a,6349,a,b,7723,a)]. given #6291 (H,wt=15): 7733 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7723(a,2),23(a,1,1)),flip(a)]. given #6292 (H,wt=15): 7734 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),7723(a,1,2))]. given #6293 (H,wt=15): 7746 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7723(a,2),7723(a,1,2))]. given #6294 (H,wt=15): 7747 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(115,a,7741,a(flip),b,5845,a)]. given #6295 (H,wt=15): 7756 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7729(a,1),3872(a,1,3))]. given #6296 (H,wt=15): 7762 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6977,a,7736,a)]. given #6297 (H,wt=15): 7770 K(x,y / z) * z = z * K(x,z \ y). [para(110(a,1),7736(a,1,2,2)),flip(a)]. given #6298 (H,wt=15): 7775 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(286,a,7613,a,b,7743,a)]. given #6299 (H,wt=15): 7778 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(4563(a,1),7754(a,1,1)),flip(a)]. given #6300 (H,wt=15): 7788 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(57,a,7777,a)]. given #6301 (H,wt=15): 7789 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(115,a,7777,a(flip),b,4613,a(flip)),flip(a)]. given #6302 (H,wt=15): 7790 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),7777(a,2,2))]. given #6303 (H,wt=15): 7796 K(x \ y,T(z,y / x)) = K(x \ y,z). [para(249(a,1),7777(a,1,1)),flip(a)]. given #6304 (H,wt=15): 7804 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7777(a,1),4667(a,2,1)),flip(a)]. given #6305 (H,wt=15): 7807 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(4904(a,1),7777(a,1,1)),flip(a)]. given #6306 (H,wt=15): 7809 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7777(a,1),5839(a,1,1))]. given #6307 (H,wt=15): 7818 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7777(a,1),6892(a,1,2))]. given #6308 (H,wt=15): 7824 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(7799(a,1),7736(a,1,2))]. given #6309 (H,wt=15): 7825 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7784(a,2),7799(a,1,2))]. given #6310 (H,wt=15): 7832 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(62,a,6152,a(flip),b,7793,a),flip(a)]. given #6311 (H,wt=15): 7837 K(x / y,z) * y = y * K(y \ x,z). [para(7793(a,1),7736(a,1,2)),flip(a)]. given #6312 (H,wt=15): 7844 K((x * y) / x,z) * x = x * K(y,z). [para(7795(a,1),7736(a,1,2)),flip(a)]. given #6313 (H,wt=15): 7866 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(2945,a,7669,a)]. given #6314 (H,wt=15): 7868 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(286,a,27,a,b,7671,a),flip(a)]. given #6315 (H,wt=15): 7894 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7881(a,1),4024(a,1,1,1))]. given #6316 (H,wt=15): 7896 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7895(a,1),3924(a,1,1))]. given #6317 (H,wt=15): 7903 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(286,a,7723,a,b,7733,a)]. given #6318 (H,wt=15): 7909 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7829,a,7790,a)]. given #6319 (H,wt=15): 7910 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(6010,a,7804,a)]. given #6320 (H,wt=15): 7911 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [hyper(286,a,23,a,b,7804,a),flip(a)]. given #6321 (H,wt=15): 7912 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(115,a,7804,a(flip),b,6008,a)]. given #6322 (H,wt=15): 7920 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5846(a,1),7894(a,1,1)),flip(a)]. given #6323 (H,wt=15): 7923 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(6899,a,7920,a)]. given #6324 (H,wt=11): 7928 T(T(x,K(y,z)),K(z,y)) = x. [hyper(399,a,7923,a)]. given #6325 (H,wt=11): 7936 T(x / y,K(y,x)) = x / y. [hyper(39,a,6619,a,b,7928,a),flip(a)]. given #6326 (H,wt=13): 7931 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(34,a,4669,a,b,7923,a)]. given #6327 (H,wt=11): 7940 K(K(x,y),z) = K(z,K(y,x)). [hyper(33,a,4659,a(flip),b,7931,a),flip(a)]. given #6328 (H,wt=13): 7939 T(T(x,K(y,z)),T(z,y)) = T(x,z). [para(7928(a,1),7616(a,1,1)),flip(a)]. given #6329 (H,wt=13): 7942 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(4931,a,7940,a)]. given #6330 (H,wt=14): 7937 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(7928(a,1),48(a,1)),flip(a)]. given #6331 (H,wt=12): 7946 x != y | T(y,K(z \ 1,z)) = x. [para(2138(a,1),7937(a,1))]. given #6332 (H,wt=14): 7941 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(7931(a,1),4814(a,1))]. given #6333 (H,wt=14): 7945 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7942(a,1),4783(a,1))]. given #6334 (H,wt=15): 7924 (K(x,y) * z) / K(x,y) = T(z,K(y,x)). [hyper(62,a,6892,a,b,7920,a)]. given #6335 (H,wt=15): 7930 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(116,a,10,a(flip),b,7923,a),flip(a)]. given #6336 (H,wt=15): 7932 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(216,a,7923,a(flip),b,4638,a),flip(a)]. given #6337 (H,wt=15): 7949 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(6899,a,7932,a)]. given #6338 (H,wt=13): 7951 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(34,a,4612,a(flip),b,7949,a)]. given #6339 (H,wt=13): 7953 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(4898,a,7951,a)]. given #6340 (H,wt=15): 7950 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(286,a,7723,a,b,7932,a),flip(a)]. given #6341 (H,wt=15): 7952 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [hyper(6355,a,7951,a)]. given #6342 (H,wt=15): 7955 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(7953(a,1),4613(a,2,2)),flip(a)]. given #6343 (H,wt=15): 7958 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [hyper(34,a,6897,a,b,7950,a)]. given #6344 (H,wt=15): 7959 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(76(a,1),7952(a,1,2,1,1))]. given #6345 (H,wt=15): 7960 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(4885(a,1),7952(a,1,2,1,1))]. given #6346 (H,wt=15): 7961 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4893(a,1),7952(a,1,2,1,1))]. given #6347 (H,wt=15): 7962 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(5851,a,7958,a)]. given #6348 (H,wt=15): 7963 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7958(a,1),7023(a,1,1))]. given #6349 (H,wt=15): 7964 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(6225,a,7959,a)]. given #6350 (H,wt=15): 7967 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(6225,a,7960,a)]. given #6351 (H,wt=15): 7968 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(286,a,7723,a,b,7961,a)]. given #6352 (H,wt=15): 7974 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6989,a,7968,a(flip)),flip(a)]. given #6353 (H,wt=16): 7719 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4120(a,1),7698(a,1,2))]. given #6354 (H,wt=14): 7980 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6775(a,1),7719(a,1))]. given #6355 (H,wt=14): 7981 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7784(a,2),7980(a,1))]. given #6356 (H,wt=16): 7737 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(7723(a,2),218(a,1,2))]. given #6357 (H,wt=16): 7742 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7723(a,2),4016(a,1,2))]. given #6358 (H,wt=16): 7768 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7736(a,1),42(a,1))]. given #6359 (H,wt=16): 7769 x * K(y,T(z,u)) != K(y,z) * u | u = x. [para(7736(a,1),43(a,1)),flip(a)]. given #6360 (H,wt=16): 7786 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(286,a,4575,a(flip),b,7777,a),flip(a)]. given #6361 (H,wt=16): 7805 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7777(a,1),4625(a,1,2))]. given #6362 (H,wt=16): 7806 K(x,T(y,z)) != y / u | T(y,T(x,z)) = u. [para(7777(a,1),4677(a,1))]. given #6363 (H,wt=16): 7836 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7793(a,2),7510(a,1))]. given #6364 (H,wt=16): 7848 T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. [para(7801(a,1),122(a,1,1)),flip(b)]. given #6365 (H,wt=16): 7850 x * K(T(y,z),u) != K(y,u) * z | z = x. [para(7822(a,1),43(a,1)),flip(a)]. given #6366 (H,wt=16): 7852 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7822(a,1),6902(a,1,1))]. given #6367 (H,wt=16): 7853 x * K(y,T(z,u)) != u | K(z,y) * u = x. [para(7827(a,1),43(a,1)),flip(a)]. given #6368 (H,wt=16): 7861 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4073(a,2),7860(a,1,1))]. given #6369 (H,wt=16): 7865 K((x \ y) \ y,z) != u | K(T(x,y),z) = u. [para(7754(a,2),7829(a,1))]. given #6370 (H,wt=16): 7893 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7881(a,1),25(a,2,1))]. given #6371 (H,wt=15): 7990 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(62,a,7261,a(flip),b,7893,a)]. given #6372 (H,wt=15): 7992 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5846(a,1),7990(a,1,2)),flip(a)]. given #6373 (H,wt=16): 7902 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(163(a,1),7728(a,1,1,1)),flip(a)]. given #6374 (H,wt=16): 7938 x * K(K(y,z),x) != u | T(x,K(z,y)) = u. [para(7928(a,1),6160(a,1))]. given #6375 (H,wt=16): 7943 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(7940(a,1),4783(a,1,1))]. given #6376 (H,wt=14): 7994 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4781(a,1),7943(a,1))]. given #6377 (H,wt=16): 7978 K(x \ 1,x) != y | K(x \ 1,T(x,z)) = y. [para(2909(a,1),7719(a,1))]. given #6378 (H,wt=16): 7986 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7714(a,2),7981(a,1))]. given #6379 (H,wt=16): 7988 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(10(a,1),7836(a,1,1,1))]. given #6380 (H,wt=16): 7989 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(109(a,2),7865(a,1,1))]. given #6381 (H,wt=17): 7633 x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). [hyper(286,a,5736,a,b,7623,a)]. given #6382 (H,wt=15): 7998 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(37,a,22,a(flip),b,7633,a)]. given #6383 (H,wt=8): 7999 L(x,y,K(z,x)) = x. [hyper(7575,a,7998,a)]. given #6384 (H,wt=12): 8004 L(K(x,y),z,K(u,x)) = K(x,y). [para(7999(a,1),7081(a,1,1)),flip(a)]. given #6385 (H,wt=14): 8002 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7999(a,1),30(a,1,1)),flip(a)]. given #6386 (H,wt=11): 8006 L(x,y,T(x,z)) = L(x,y,x). [hyper(7544,a,8002,a),flip(a)]. given #6387 (H,wt=13): 8007 L(x,y,x * K(z,x)) = L(x,y,x). [hyper(62,a,7481,a(flip),b,8002,a)]. given #6388 (H,wt=14): 8011 L(x,T(y,x),x) != z | L(x,y,x) = z. [para(8006(a,1),4260(a,1))]. given #6389 (H,wt=15): 8009 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8006(a,1),25(a,2,1))]. given #6390 (H,wt=15): 8013 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(286,a,25,a,b,8009,a),flip(a)]. given #6391 (H,wt=17): 7635 K(x,y) * (x \ (z * x)) = T(K(x,y) * z,x). [hyper(286,a,144,a,b,7628,a)]. given #6392 (H,wt=17): 7645 T(x,y) \ (z * K(x,y)) = T(x \ z,K(x,y)). [hyper(216,a,7643,a(flip),b,5715,a),flip(a)]. given #6393 (H,wt=17): 7647 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [para(7643(a,2),6864(a,1,1))]. given #6394 (H,wt=16): 8016 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(34,a,6668,a,b,7647,a)]. given #6395 (H,wt=16): 8018 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(286,a,6053,a,b,8016,a),flip(a)]. given #6396 (H,wt=17): 7651 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(6073,a,7648,a(flip))]. given #6397 (H,wt=17): 7652 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7648(a,1),6864(a,1,1))]. given #6398 (H,wt=17): 7664 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(115,a,7649,a(flip),b,3000,a)]. given #6399 (H,wt=17): 7701 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7697(a,1),6098(a,1,2)),flip(a)]. given #6400 (H,wt=17): 7724 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(3880(a,1),7700(a,1,2))]. given #6401 (H,wt=17): 7731 K(x,T(y,z)) / z = K(x,y) / T(z,K(x,y)). [hyper(116,a,7723,a,b,3924,a)]. given #6402 (H,wt=17): 7735 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(25(a,2),7723(a,1,2))]. given #6403 (H,wt=17): 7738 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(7723(a,2),202(a,1,2,2))]. given #6404 (H,wt=17): 7750 K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). [para(110(a,1),7730(a,1,2))]. given #6405 (H,wt=17): 7752 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6917(a,1),7714(a,1,1)),flip(a)]. given #6406 (H,wt=17): 7764 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(33,a,6289,a(flip),b,7736,a),flip(a)]. given #6407 (H,wt=17): 7766 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(23(a,1),7736(a,1,2,2))]. given #6408 (H,wt=17): 7774 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(7700(a,1),7736(a,1,2))]. given #6409 (H,wt=15): 8024 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(286,a,5741,a(flip),b,7774,a),flip(a)]. given #6410 (H,wt=17): 7776 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(62,a,7696,a(flip),b,7749,a)]. given #6411 (H,wt=17): 7791 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(25(a,2),7777(a,1,1))]. given #6412 (H,wt=17): 7792 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),7777(a,1,1))]. given #6413 (H,wt=17): 7798 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(888(a,1),7777(a,2,2))]. given #6414 (H,wt=17): 7810 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7777(a,1),5741(a,1,1))]. given #6415 (H,wt=17): 7815 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7777(a,1),6604(a,1,1,2))]. given #6416 (H,wt=17): 7823 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(27(a,2),7799(a,1,2))]. given #6417 (H,wt=17): 7826 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7800(a,1),4667(a,2,1)),flip(a)]. given #6418 (H,wt=15): 8029 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(286,a,7616,a(flip),b,7826,a),flip(a)]. given #6419 (H,wt=15): 8030 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(6010,a,8029,a)]. given #6420 (H,wt=11): 8031 K(x,K(y,z)) = K(z,K(y,x)). [hyper(34,a,7963,a,b,8030,a)]. given #6421 (H,wt=11): 8032 K(K(x,y),z) = K(x,K(y,z)). [hyper(7945,a,8031,a)]. given #6422 (H,wt=13): 8035 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8031(a,1),4659(a,2,2)),flip(a)]. given #6423 (H,wt=13): 8036 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8031(a,1),4667(a,2,1)),flip(a)]. given #6424 (H,wt=13): 8040 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8031(a,1),7942(a,1,1))]. given #6425 (H,wt=11): 8056 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7943,a,8040,a)]. given #6426 (H,wt=11): 8057 K(K(x,y),z) = K(y,K(z,x)). [hyper(4783,a,8040,a)]. given #6427 (H,wt=11): 8059 K(K(x,y),z) = K(y,K(x,z)). [hyper(286,a,8032,a,b,8056,a)]. given #6428 (H,wt=11): 8060 K(x,K(y,z)) = K(z,K(x,y)). [hyper(286,a,8031,a,b,8056,a),flip(a)]. given #6429 (H,wt=11): 8071 K(K(x,y),z) = K(x,K(z,y)). [hyper(286,a,8031,a,b,8057,a),flip(a)]. given #6430 (H,wt=11): 8076 K(K(x,y),z) = K(z,K(x,y)). [hyper(286,a,8031,a,b,8059,a),flip(a)]. given #6431 (H,wt=11): 8077 K(x,K(y,z)) = K(x,K(z,y)). [hyper(62,a,8057,a(flip),b,8059,a)]. given #6432 (H,wt=13): 8046 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(8032(a,1),4629(a,2,1)),flip(a)]. given #6433 (H,wt=13): 8061 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8056(a,1),4659(a,2,2)),flip(a)]. given #6434 (H,wt=13): 8062 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8056(a,1),4667(a,2,1)),flip(a)]. given #6435 (H,wt=13): 8069 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8056(a,1),8035(a,1,2))]. given #6436 (H,wt=11): 8115 T(x,K(y,z)) = T(x,K(z,y)). [hyper(62,a,8035,a(flip),b,8069,a)]. given #6437 (H,wt=11): 8116 T(T(x,K(y,z)),K(y,z)) = x. [hyper(7941,a,8115,a)]. given #6438 (H,wt=13): 8070 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8056(a,1),8036(a,1,1))]. given #6439 (H,wt=13): 8073 K(K(x,y),z) * y = T(y,K(z,x)). [para(8057(a,2),4667(a,2,1)),flip(a)]. given #6440 (H,wt=13): 8081 x * K(K(y,z),x) = T(x,K(y,z)). [para(8059(a,2),8035(a,1,2))]. given #6441 (H,wt=13): 8083 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8060(a,1),4667(a,2,1)),flip(a)]. given #6442 (H,wt=13): 8095 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8060(a,1),8036(a,1,1))]. given #6443 (H,wt=13): 8098 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8076(a,1),4782(a,1,1))]. given #6444 (H,wt=13): 8110 K(x,K(y,T(z,x))) = K(x,K(z,y)). [hyper(286,a,7744,a,b,8077,a)]. given #6445 (H,wt=13): 8122 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(286,a,7613,a(flip),b,8115,a),flip(a)]. given #6446 (H,wt=13): 8127 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8115(a,1),7616(a,1,1))]. given #6447 (H,wt=13): 8129 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(8115(a,1),7939(a,1,1))]. given #6448 (H,wt=13): 8132 T(K(x,y),z) * z = z * K(x,y). [para(8116(a,1),4103(a,1,2))]. given #6449 (H,wt=11): 8140 T(T(K(x,y),z),z) = K(x,y). [hyper(399,a,8132,a)]. given #6450 (H,wt=11): 8144 T(K(x,T(y,z)),z) = K(x,y). [hyper(34,a,7736,a(flip),b,8132,a),flip(a)]. given #6451 (H,wt=11): 8149 K(x,T(T(y,z),z)) = K(x,y). [hyper(62,a,7903,a,b,8140,a)]. given #6452 (H,wt=11): 8155 K(T(x,y),T(z,y)) = K(x,z). [hyper(7864,a,8144,a)]. given #6453 (H,wt=13): 8133 (x * K(y,z)) / x = T(K(y,z),x). [para(8116(a,1),4104(a,1,2))]. given #6454 (H,wt=12): 8192 T(K(x,y),y) != z | K(x,y) = z. [para(8133(a,1),2789(a,1))]. given #6455 (H,wt=13): 8137 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8122(a,1),7799(a,1,2))]. given #6456 (H,wt=13): 8138 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8122(a,1),7800(a,1,1))]. given #6457 (H,wt=13): 8141 T(K(x \ y,z),x) = K(y / x,z). [hyper(34,a,7837,a,b,8132,a),flip(a)]. given #6458 (H,wt=13): 8142 T(K(x,y \ z),y) = K(x,z / y). [hyper(34,a,7770,a,b,8132,a),flip(a)]. given #6459 (H,wt=13): 8143 T(K(x \ y,z),y) = K(y / x,z). [hyper(34,a,6941,a,b,8132,a),flip(a)]. given #6460 (H,wt=13): 8146 K(x,T(y,z)) * z = z * K(x,y). [para(7723(a,2),8132(a,1,1))]. given #6461 (H,wt=13): 8147 K(T(x,y),z) * y = y * K(x,z). [para(7784(a,2),8132(a,1,1))]. given #6462 (H,wt=13): 8156 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(244,a,8144,a)]. given #6463 (H,wt=13): 8158 K(x \ y,T(z,y)) = K(y / x,z). [hyper(62,a,6940,a(flip),b,8144,a)]. given #6464 (H,wt=13): 8159 K(x,T(y \ z,z)) = K(x,z / y). [hyper(39,a,6767,a,b,8144,a),flip(a)]. given #6465 (H,wt=13): 8165 K(x \ y,T(z,x)) = K(y / x,z). [hyper(7988,a,8149,a)]. given #6466 (H,wt=13): 8166 K((x * y) / x,z) = K(y,T(z,x)). [hyper(7836,a,8149,a),flip(a)]. given #6467 (H,wt=13): 8169 K(x,T(y \ z,y)) = K(x,z / y). [para(110(a,1),8149(a,1,2,1))]. given #6468 (H,wt=13): 8170 K(x,(y * z) / y) = K(x,T(z,y)). [para(203(a,1),8149(a,1,2,1)),flip(a)]. given #6469 (H,wt=13): 8173 K(x / (x / y),z) = K(y,T(z,x)). [hyper(7861,a,8155,a),flip(a)]. given #6470 (H,wt=13): 8177 K(T(x,y),y \ z) = K(x,z / y). [para(110(a,1),8155(a,1,2))]. given #6471 (H,wt=13): 8178 K(x,(y * z) / y) = K(T(x,y),z). [para(203(a,1),8155(a,1,2)),flip(a)]. given #6472 (H,wt=13): 8183 K(x * K(y,x),z) = K(x,T(z,y)). [para(4635(a,1),8155(a,1,1)),flip(a)]. given #6473 (H,wt=13): 8184 x * K(T(x,y),T(z,y)) = T(x,z). [para(8155(a,2),4659(a,2,2)),flip(a)]. given #6474 (H,wt=13): 8209 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5851,a,8147,a)]. given #6475 (H,wt=13): 8216 K(x,y / (y / z)) = K(x,T(z,y)). [para(76(a,1),8159(a,1,2,1)),flip(a)]. given #6476 (H,wt=13): 8234 K(x,y / (y / z)) = K(T(x,y),z). [hyper(286,a,7777,a,b,8216,a),flip(a)]. given #6477 (H,wt=14): 8041 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(8031(a,1),7945(a,1))]. given #6478 (H,wt=14): 8055 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8032(a,1),7994(a,1))]. given #6479 (H,wt=14): 8058 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8040(a,1),7943(a,1))]. given #6480 (H,wt=14): 8080 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8059(a,1),7994(a,1))]. given #6481 (H,wt=14): 8097 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8071(a,1),7994(a,1))]. given #6482 (H,wt=14): 8109 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8076(a,1),7994(a,1))]. given #6483 (H,wt=14): 8130 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(8115(a,1),7937(a,1))]. given #6484 (H,wt=14): 8134 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8116(a,1),7941(a,1,1)),flip(b)]. given #6485 (H,wt=14): 8152 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(8140(a,1),48(a,1)),flip(a)]. given #6486 (H,wt=14): 8164 K(x,y) != z | K(T(x,u),T(y,u)) = z. [para(8144(a,1),7864(a,1))]. given #6487 (H,wt=14): 8193 K(x \ y,y) != z | K(y / x,y) = z. [para(6940(a,1),8192(a,1))]. given #6488 (H,wt=14): 8223 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(8166(a,1),7836(a,1))]. given #6489 (H,wt=14): 8240 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(7940(a,2),8055(a,1))]. given #6490 (H,wt=14): 8241 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8059(a,2),8055(a,1))]. given #6491 (H,wt=14): 8242 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(8071(a,2),8055(a,1))]. given #6492 (H,wt=14): 8247 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7723(a,1),8223(a,1))]. given #6493 (H,wt=14): 8249 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7777(a,2),8223(a,1))]. given #6494 (H,wt=14): 8255 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(4883(a,1),8247(a,1,1,2))]. given #6495 (H,wt=15): 8034 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8031(a,1),4629(a,2,1)),flip(a)]. given #6496 (H,wt=15): 8042 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8031(a,1),7932(a,1,1))]. given #6497 (H,wt=15): 8043 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8031(a,1),7962(a,1,2))]. given #6498 (H,wt=15): 8047 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8032(a,1),4659(a,2,2)),flip(a)]. given #6499 (H,wt=15): 8066 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5991(a,2),8056(a,1,2))]. given #6500 (H,wt=15): 8068 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7777(a,2),8056(a,1,2))]. given #6501 (H,wt=15): 8072 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8057(a,1),4659(a,2,2)),flip(a)]. given #6502 (H,wt=15): 8082 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(286,a,7958,a,b,8060,a)]. given #6503 (H,wt=15): 8090 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7777(a,1),8060(a,1,2))]. given #6504 (H,wt=15): 8091 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(8060(a,1),7950(a,1,1))]. given #6505 (H,wt=15): 8092 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8060(a,2),7950(a,1,1))]. given #6506 (H,wt=15): 8093 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(8060(a,1),7962(a,1,2))]. given #6507 (H,wt=15): 8094 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(8060(a,2),7962(a,1,2))]. given #6508 (H,wt=15): 8099 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(8076(a,1),5839(a,1,1))]. given #6509 (H,wt=15): 8100 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(8076(a,1),5846(a,1,1))]. given #6510 (H,wt=15): 8107 x / K(y,K(z,u)) = x * K(y,K(z,u)). [para(8076(a,1),6892(a,1,2))]. given #6511 (H,wt=15): 8112 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7784(a,1),8077(a,1,2)),flip(a)]. given #6512 (H,wt=15): 8113 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8077(a,1),7962(a,1,2))]. given #6513 (H,wt=15): 8117 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(7099,a,8115,a),flip(a)]. given #6514 (H,wt=15): 8118 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(286,a,7920,a,b,8115,a)]. given #6515 (H,wt=15): 8119 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(286,a,5845,a,b,8115,a)]. given #6516 (H,wt=15): 8120 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(286,a,7894,a(flip),b,8115,a),flip(a)]. given #6517 (H,wt=15): 8121 T(T(x,y),K(z,y)) = x * T(K(x,y),z). [hyper(286,a,7775,a(flip),b,8115,a),flip(a)]. given #6518 (H,wt=15): 8123 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(286,a,6894,a(flip),b,8115,a),flip(a)]. given #6519 (H,wt=15): 8124 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8115(a,1),108(a,1,2))]. given #6520 (H,wt=15): 8128 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8115(a,1),7923(a,1,1))]. given #6521 (H,wt=15): 8145 K(x \ y,z) * y = y * K(y / x,z). [para(6940(a,1),8132(a,1,1))]. given #6522 (H,wt=15): 8150 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(39,a,7964,a(flip),b,8140,a),flip(a)]. given #6523 (H,wt=15): 8151 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(39,a,6352,a(flip),b,8140,a),flip(a)]. given #6524 (H,wt=15): 8157 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(62,a,6349,a,b,8144,a)]. given #6525 (H,wt=15): 8171 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8149(a,1),7804(a,1,1)),flip(a)]. given #6526 (H,wt=15): 8182 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4053(a,1),8155(a,1,2))]. given #6527 (H,wt=13): 8303 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(286,a,8234,a(flip),b,8182,a),flip(a)]. given #6528 (H,wt=15): 8191 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(8133(a,2),108(a,1,2))]. given #6529 (H,wt=15): 8197 K(x,y \ z) * y = y * K(x,z / y). [para(8142(a,1),108(a,1,2)),flip(a)]. given #6530 (H,wt=15): 8199 K(x \ y,z \ y) = K(y / x,y / z). [hyper(62,a,6767,a(flip),b,8143,a)]. given #6531 (H,wt=15): 8200 K(x \ y,z) \ y = y / K(y / x,z). [para(8143(a,1),7895(a,1,2)),flip(a)]. given #6532 (H,wt=15): 8202 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(34,a,6295,a(flip),b,8146,a),flip(a)]. given #6533 (H,wt=15): 8203 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(116,a,8146,a(flip),b,4639,a)]. given #6534 (H,wt=15): 8207 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8146(a,1),4638(a,1,2)),flip(a)]. given #6535 (H,wt=15): 8214 K(1 / x,T(y,z)) = K(z / (z * x),y). [hyper(6815,a,8158,a)]. given #6536 (H,wt=15): 8217 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(62,a,6782,a,b,8165,a)]. given #6537 (H,wt=15): 8232 x / T(x,y * K(z,y)) = K(y,T(x,z)). [hyper(4631,a,8183,a)]. given #6538 (H,wt=13): 8314 T(x,y * K(z,y)) = T(x,T(y,z)). [hyper(35,a,7783,a,b,8232,a),flip(a)]. given #6539 (H,wt=11): 8317 T(x,T(T(y,z),z)) = T(x,y). [para(4670(a,1),8314(a,1,2)),flip(a)]. given #6540 (H,wt=13): 8316 T(x,(y * z) / y) = T(x,T(z,y)). [para(4636(a,2),8314(a,1,2))]. given #6541 (H,wt=13): 8318 T(x,T(y \ z,y)) = T(x,z / y). [para(4672(a,1),8314(a,1,2)),flip(a)]. given #6542 (H,wt=14): 8320 T(x,y) != z | T(x,T(y,T(x,u))) = z. [para(8317(a,1),5779(a,1))]. given #6543 (H,wt=15): 8256 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(7730(a,1),8247(a,1,1))]. given #6544 (H,wt=15): 8270 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8055,a,8068,a)]. given #6545 (H,wt=15): 8273 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2098,a,8082,a)]. given #6546 (H,wt=15): 8281 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [para(8094(a,1),7023(a,1,1))]. given #6547 (H,wt=15): 8283 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(512,a,8118,a),flip(a)]. given #6548 (H,wt=15): 8287 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(6892(a,2),8119(a,1,2))]. given #6549 (H,wt=15): 8295 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(62,a,7964,a,b,8150,a)]. given #6550 (H,wt=15): 8296 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(62,a,6352,a,b,8151,a)]. given #6551 (H,wt=15): 8300 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(286,a,6008,a,b,8171,a),flip(a)]. given #6552 (H,wt=15): 8301 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [hyper(115,a,8171,a,b,5738,a(flip))]. given #6553 (H,wt=15): 8309 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(6483,a,8202,a)]. given #6554 (H,wt=15): 8310 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(62,a,7974,a(flip),b,8202,a)]. given #6555 (H,wt=15): 8322 T(x,((y \ z) \ z) \ z) = T(x,z / y). [para(3920(a,1),8318(a,1,2))]. given #6556 (H,wt=13): 8334 T(x,T(y \ z,z)) = T(x,z / y). [hyper(62,a,7716,a(flip),b,8322,a)]. given #6557 (H,wt=15): 8326 T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). [hyper(62,a,7628,a,b,8281,a)]. given #6558 (H,wt=15): 8332 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(9(a,1),8309(a,1,2,1,2))]. given #6559 (H,wt=15): 8333 K(x,(y * z) \ z) = K(x,z / (z * y)). [para(9(a,1),8310(a,1,2,1,1))]. given #6560 (H,wt=15): 8335 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(2804(a,1),8326(a,1,1))]. given #6561 (H,wt=16): 8037 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(8031(a,1),4663(a,1,2))]. given #6562 (H,wt=16): 8038 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(8031(a,1),4668(a,1,1))]. given #6563 (H,wt=16): 8064 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8056(a,1),4663(a,1,2))]. given #6564 (H,wt=16): 8065 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(8056(a,1),4668(a,1,1))]. given #6565 (H,wt=16): 8075 K(x,K(y,z)) != u | K(y,K(z,x)) \ 1 = u. [para(8057(a,1),4931(a,1))]. given #6566 (H,wt=16): 8084 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(8060(a,2),4668(a,1,1))]. given #6567 (H,wt=16): 8108 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8076(a,1),7938(a,1,2))]. given #6568 (H,wt=16): 8136 T(x,K(y,z)) != u * x | K(z,K(x,y)) = u. [para(8083(a,1),43(a,1))]. given #6569 (H,wt=16): 8160 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8144(a,1),218(a,1,2))]. given #6570 (H,wt=16): 8163 K(x,K(y,z)) != u | K(x,K(y,T(z,x))) = u. [para(8144(a,1),4805(a,1,2))]. given #6571 (H,wt=16): 8172 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8149(a,1),7836(a,1))]. given #6572 (H,wt=16): 8189 x * K(y,z) != u * x | K(T(y,x),z) = u. [para(8155(a,1),7737(a,1,2))]. given #6573 (H,wt=16): 8190 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(8155(a,1),7861(a,1))]. given #6574 (H,wt=16): 8210 K(x,T(y,z)) * z != u | z * K(x,y) = u. [para(8156(a,1),263(a,1,1)),flip(b)]. given #6575 (H,wt=16): 8231 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8178(a,2),7981(a,1))]. given #6576 (H,wt=16): 8238 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8216(a,2),7829(a,1))]. given #6577 (H,wt=16): 8246 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(110(a,1),8223(a,1,2,1))]. given #6578 (H,wt=16): 8248 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7729(a,1),8223(a,1))]. given #6579 (H,wt=16): 8250 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7793(a,1),8223(a,1))]. given #6580 (H,wt=16): 8254 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(8158(a,1),8223(a,1))]. given #6581 (H,wt=16): 8257 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(7729(a,1),8247(a,1,1))]. given #6582 (H,wt=16): 8258 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7793(a,1),8247(a,1,1))]. given #6583 (H,wt=16): 8259 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(8159(a,1),8247(a,1,1))]. given #6584 (H,wt=16): 8262 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(110(a,1),8249(a,1,2))]. given #6585 (H,wt=16): 8266 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6753(a,2),8255(a,1))]. given #6586 (H,wt=16): 8339 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4636(a,1),8172(a,1,1))]. given #6587 (H,wt=16): 8347 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7777(a,2),8250(a,1))]. given #6588 (H,wt=16): 8352 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7723(a,2),8259(a,1))]. given #6589 (H,wt=17): 7831 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7785(a,1),4667(a,2,1)),flip(a)]. given #6590 (H,wt=17): 7833 K(x \ y,L(x,z,u)) = K(y / x,L(x,z,u)). [para(166(a,1),7793(a,1,2)),flip(a)]. given #6591 (H,wt=17): 7834 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7793(a,1),4667(a,2,1)),flip(a)]. given #6592 (H,wt=17): 7846 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(115,a,7845,a(flip),b,3000,a)]. given #6593 (H,wt=17): 7856 (x * K(y,x)) / x != z | L(K(y,x),x,u) = z. [para(2785(a,2),7847(a,1))]. given #6594 (H,wt=17): 7858 L(K(x,y),z,x) != u * w | u \ K(x,y) = w. [para(7661(a,2),299(a,1))]. given #6595 (H,wt=17): 7871 ((x * y) / x) \ (z * y) = T(K(y,x) * z,y). [hyper(216,a,7676,a,b,4633,a),flip(a)]. given #6596 (H,wt=17): 7897 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7688(a,1),108(a,1,2)),flip(a)]. given #6597 (H,wt=17): 7899 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(110(a,1),7695(a,1,2))]. given #6598 (H,wt=17): 7901 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6745(a,1),7720(a,1,2)),flip(a)]. given #6599 (H,wt=17): 7907 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5969(a,1),7770(a,1,1)),flip(a)]. given #6600 (H,wt=15): 8357 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(33,a,7736,a,b,7907,a)]. given #6601 (H,wt=15): 8358 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(62,a,7974,a(flip),b,8357,a)]. given #6602 (H,wt=15): 8359 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(76(a,1),8357(a,2,2,2))]. given #6603 (H,wt=17): 7913 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(6075,a,7824,a)]. given #6604 (H,wt=17): 7914 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [para(7824(a,1),6438(a,1,1))]. given #6605 (H,wt=17): 7918 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(115,a,7868,a(flip),b,5730,a)]. given #6606 (H,wt=17): 8012 L(x \ y,z,x \ y) = L(x \ y,z,y / x). [para(4672(a,1),8007(a,1,3)),flip(a)]. given #6607 (H,wt=17): 8019 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4035(a,1),8018(a,1,2))]. given #6608 (H,wt=17): 8027 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2786(a,1),7792(a,2,2))]. given #6609 (H,wt=17): 8033 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8031(a,1),85(a,1,2))]. given #6610 (H,wt=12): 8366 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3145,a,8033,a),flip(a)]. given #6611 (H,wt=17): 8050 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(8032(a,1),5741(a,1,1))]. given #6612 (H,wt=17): 8063 (K(x,y) * K(x,K(z,y))) * z = z * K(x,y). [para(8056(a,1),4669(a,1,1,2))]. given #6613 (H,wt=17): 8078 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8059(a,1),4605(a,1,1))]. given #6614 (H,wt=17): 8085 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(8060(a,2),4675(a,1,1))]. given #6615 (H,wt=17): 8101 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8076(a,1),5741(a,1,1))]. given #6616 (H,wt=17): 8106 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(8076(a,1),6605(a,1,2))]. given #6617 (H,wt=17): 8114 K(x,K(y,z) \ 1) * y = T(y,K(x \ 1,z)). [hyper(62,a,6462,a(flip),b,8062,a)]. given #6618 (H,wt=15): 8370 T(x,K(y \ 1,z)) = K(y,K(z,x)) * x. [para(4781(a,1),8114(a,1,1,2)),flip(a)]. given #6619 (H,wt=13): 8371 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(8136,a,8370,a)]. given #6620 (H,wt=13): 8372 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(286,a,8070,a(flip),b,8370,a),flip(a)]. given #6621 (H,wt=13): 8373 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(286,a,8036,a(flip),b,8370,a),flip(a)]. given #6622 (H,wt=13): 8374 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(34,a,8070,a,b,8370,a(flip))]. given #6623 (H,wt=13): 8375 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(34,a,8036,a,b,8370,a(flip))]. given #6624 (H,wt=13): 8377 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(286,a,8060,a,b,8371,a),flip(a)]. given #6625 (H,wt=13): 8378 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(286,a,8056,a,b,8371,a),flip(a)]. given #6626 (H,wt=13): 8380 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(76(a,1),8371(a,1,2,2)),flip(a)]. given #6627 (H,wt=13): 8381 K(x \ 1,K(y,z)) = K(y,K(z,x)). [para(3314(a,1),8371(a,1,2)),flip(a)]. given #6628 (H,wt=13): 8382 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3318(a,1),8371(a,1,2))]. given #6629 (H,wt=13): 8383 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(6458(a,2),8371(a,1,2))]. given #6630 (H,wt=13): 8385 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(8134,a,8372,a)]. given #6631 (H,wt=13): 8386 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(6455(a,1),8372(a,1,2)),flip(a)]. given #6632 (H,wt=13): 8391 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(286,a,8056,a,b,8374,a),flip(a)]. given #6633 (H,wt=13): 8394 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(286,a,8056,a,b,8375,a),flip(a)]. given #6634 (H,wt=13): 8395 K(1 / x,K(y,z)) = K(y,K(x,z)). [para(76(a,1),8375(a,1,2,1)),flip(a)]. given #6635 (H,wt=13): 8396 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(76(a,1),8377(a,1,2,2)),flip(a)]. given #6636 (H,wt=15): 8379 K(x,K(y,z \ 1)) = K(x,K(y,z)) \ 1. [hyper(286,a,8040,a,b,8371,a),flip(a)]. given #6637 (H,wt=15): 8388 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(62,a,8122,a(flip),b,8373,a),flip(a)]. given #6638 (H,wt=13): 8419 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(62,a,7613,a(flip),b,8388,a),flip(a)]. given #6639 (H,wt=15): 8397 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5964(a,1),8377(a,1,2))]. given #6640 (H,wt=15): 8398 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5968(a,2),8377(a,1,2))]. given #6641 (H,wt=15): 8399 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6717(a,1),8377(a,1,2))]. given #6642 (H,wt=15): 8401 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6717(a,1),8378(a,1,2)),flip(a)]. given #6643 (H,wt=15): 8410 K(x,K(y,z \ 1)) = K(y,K(x,z)) \ 1. [para(8383(a,1),7942(a,1,1)),flip(a)]. given #6644 (H,wt=15): 8412 T((x \ 1) * y,K(y,x)) = (x \ 1) * y. [hyper(62,a,4601,a(flip),b,8386,a),flip(a)]. given #6645 (H,wt=15): 8413 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6717(a,1),8386(a,1,2))]. given #6646 (H,wt=15): 8414 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(116,a,8391,a(flip),b,5698,a),flip(a)]. given #6647 (H,wt=15): 8420 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(286,a,4659,a(flip),b,8419,a),flip(a)]. given #6648 (H,wt=13): 8423 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4727,a,8420,a)]. given #6649 (H,wt=13): 8427 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(76(a,1),8423(a,1,2,2)),flip(a)]. given #6650 (H,wt=15): 8425 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(62,a,7724,a(flip),b,8423,a)]. given #6651 (H,wt=13): 8431 K(x,T(x * y,y)) = K(x,x * y). [hyper(286,a,4775,a(flip),b,8425,a),flip(a)]. given #6652 (H,wt=15): 8429 K(x,T(y,z / u)) = K(x,T(y,u / z)). [para(4140(a,1),8423(a,1,2))]. given #6653 (H,wt=16): 8376 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8370(a,2),8038(a,1))]. given #6654 (H,wt=16): 8384 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8371(a,2),8097(a,1))]. given #6655 (H,wt=16): 8392 K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. [para(8374(a,2),8097(a,1))]. given #6656 (H,wt=16): 8403 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8380(a,2),8109(a,1))]. given #6657 (H,wt=16): 8407 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(8381(a,1),7507(a,1))]. given #6658 (H,wt=16): 8408 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8382(a,2),8097(a,1))]. given #6659 (H,wt=16): 8411 T(x,K(y,z \ 1)) != u | T(x,K(y,z)) = u. [para(8385(a,2),8134(a,1))]. given #6660 (H,wt=16): 8418 K(1 / x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8395(a,2),8109(a,1))]. given #6661 (H,wt=16): 8424 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8420(a,2),4663(a,1))]. given #6662 (H,wt=16): 8432 K(x,T(x * y,y)) != z | K(x,x * y) = z. [para(8425(a,2),4805(a,1))]. given #6663 (H,wt=16): 8439 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(8388(a,2),8424(a,1))]. given #6664 (H,wt=16): 8440 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(23(a,1),8439(a,1))]. given #6665 (H,wt=16): 8441 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(8115(a,1),8439(a,1))]. given #6666 (H,wt=17): 8139 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8122(a,1),7923(a,1,1))]. given #6667 (H,wt=17): 8167 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(62,a,7792,a,b,8149,a)]. given #6668 (H,wt=17): 8168 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(62,a,7791,a,b,8149,a)]. given #6669 (H,wt=17): 8175 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(62,a,7752,a(flip),b,8155,a)]. given #6670 (H,wt=17): 8176 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),8155(a,1,2))]. given #6671 (H,wt=17): 8181 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3719(a,1),8155(a,1,1)),flip(a)]. given #6672 (H,wt=17): 8185 K(x \ K(y,x \ 1),z) = K(x \ 1,T(z,y)). [para(4711(a,1),8155(a,1,1)),flip(a)]. given #6673 (H,wt=17): 8186 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8155(a,1),5883(a,1,1)),flip(a)]. given #6674 (H,wt=17): 8194 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(62,a,7734,a,b,8141,a)]. given #6675 (H,wt=17): 8196 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8141(a,1),7743(a,1,2))]. given #6676 (H,wt=17): 8198 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(62,a,6778,a(flip),b,8143,a)]. given #6677 (H,wt=17): 8201 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(34,a,6289,a,b,8146,a),flip(a)]. given #6678 (H,wt=17): 8212 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7719,a,8158,a)]. given #6679 (H,wt=17): 8263 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(191(a,1),8249(a,1,1))]. given #6680 (H,wt=17): 8285 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(6610(a,1),8119(a,1,2)),flip(a)]. given #6681 (H,wt=17): 8286 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6861(a,1),8119(a,1,2)),flip(a)]. given #6682 (H,wt=17): 8312 K(x / (x * (y / z)),u) = K(z / y,T(u,x)). [hyper(6495,a,8214,a),flip(a)]. given #6683 (H,wt=15): 8463 K(x / (x * (y / x)),z) = K(y \ x,z). [hyper(286,a,7729,a(flip),b,8312,a),flip(a)]. given #6684 (H,wt=15): 8464 K((x * y) \ y,z) = K(y / (y * x),z). [para(11(a,1),8463(a,1,1,2,2)),flip(a)]. given #6685 (H,wt=17): 8313 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(286,a,6143,a,b,8217,a),flip(a)]. given #6686 (H,wt=17): 8315 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2288(a,1),8314(a,1,2))]. given #6687 (H,wt=17): 8319 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(223(a,1),8317(a,1,2,1))]. given #6688 (H,wt=17): 8330 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8296(a,1),4620(a,2,2))]. given #6689 (H,wt=15): 8467 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(286,a,4620,a,b,8330,a),flip(a)]. given #6690 (H,wt=17): 8336 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(5778,a,8335,a)]. given #6691 (H,wt=17): 8360 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(8358(a,1),4659(a,2,2)),flip(a)]. given #6692 (H,wt=15): 8471 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4663,a,8360,a),flip(a)]. given #6693 (H,wt=15): 8472 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(62,a,6756,a,b,8471,a)]. given #6694 (H,wt=17): 8364 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(175,a,8019,a)]. given #6695 (H,wt=17): 8367 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6892(a,2),8078(a,1,2))]. given #6696 (H,wt=17): 8387 T(T(x,K(y,z)),y \ 1) = T(x,T(y \ 1,z)). [para(8372(a,1),7616(a,1,1))]. given #6697 (H,wt=17): 8400 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8377(a,1),8047(a,1,2))]. given #6698 (H,wt=13): 8475 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(62,a,8047,a(flip),b,8400,a),flip(a)]. given #6699 (H,wt=16): 8477 T(K(x,y),z \ 1) != u | K(x,T(y,z)) = u. [para(8475(a,2),7980(a,1))]. given #6700 (H,wt=16): 8478 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7723(a,2),8477(a,1))]. given #6701 (H,wt=16): 8479 K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. [para(3066(a,1),8478(a,1,2))]. given #6702 (H,wt=17): 8428 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(110(a,1),8423(a,1,2)),flip(a)]. given #6703 (H,wt=17): 8452 K(x \ K(y,x \ 1),z) = K(x,T(z,y) \ 1). [hyper(286,a,6458,a(flip),b,8185,a),flip(a)]. given #6704 (H,wt=17): 8453 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8300(a,1),8186(a,1,1))]. given #6705 (H,wt=17): 8454 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(62,a,7807,a(flip),b,8194,a),flip(a)]. given #6706 (H,wt=15): 8486 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(286,a,8165,a(flip),b,8454,a),flip(a)]. given #6707 (H,wt=17): 8465 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(76(a,1),8313(a,1,1,1)),flip(a)]. given #6708 (H,wt=17): 8468 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(110(a,1),8467(a,1,2,2,1))]. given #6709 (H,wt=17): 8473 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(6053(a,1),8364(a,1,1))]. given #6710 (H,wt=17): 8484 K(x \ K(y,x \ 1),z) = K(x,T(z \ 1,y)). [hyper(286,a,7968,a,b,8452,a),flip(a)]. given #6711 (H,wt=17): 8488 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4636(a,2),8473(a,1,1,2))]. given #6712 (H,wt=18): 7615 T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. [para(7610(a,1),6888(a,1))]. given #6713 (H,wt=18): 7665 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(7649(a,1),261(a,1,2))]. given #6714 (H,wt=18): 7717 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7692(a,1),5779(a,1))]. given #6715 (H,wt=18): 7748 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(7741(a,1),262(a,1,2))]. given #6716 (H,wt=16): 8492 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(8098(a,1),7748(a,1))]. given #6717 (H,wt=17): 8490 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(7748,a,4643,a(flip)),flip(a)]. given #6718 (H,wt=17): 8493 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(62,a,4810,a,b,8490,a)]. given #6719 (H,wt=18): 7772 x \ (y * K(z,T(x,y))) != u | T(x,z) \ y = u. [para(7736(a,2),5744(a,1,2))]. given #6720 (H,wt=18): 7811 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7777(a,1),5865(a,1,1))]. given #6721 (H,wt=18): 7819 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7777(a,1),6899(a,1,2))]. given #6722 (H,wt=18): 7820 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7777(a,1),6901(a,1,2))]. given #6723 (H,wt=18): 7904 x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. [para(7747(a,1),47(a,1)),flip(a)]. given #6724 (H,wt=18): 7906 x * K(y,x \ z) != u * x | K(y,z / x) = u. [para(7770(a,1),43(a,1))]. given #6725 (H,wt=18): 7915 x * K(x \ y,z) != u * x | K(y / x,z) = u. [para(7837(a,1),43(a,1))]. given #6726 (H,wt=18): 7921 T(T(x,y),z) != u | K(x,T(z,y)) * T(x,y) = u. [para(7910(a,1),6010(a,1))]. given #6727 (H,wt=18): 7925 T(x,K(y,z)) != u * K(y,z) | K(z,y) * x = u. [para(7920(a,1),43(a,1))]. given #6728 (H,wt=18): 7927 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7920(a,1),6909(a,1,1))]. given #6729 (H,wt=18): 7933 (K(x,y) * z) * K(y,x) != u | T(z,K(y,x)) = u. [para(7923(a,1),6909(a,1,1))]. given #6730 (H,wt=18): 7947 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(7894(a,1),7941(a,1,1)),flip(b)]. given #6731 (H,wt=18): 7948 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(7924(a,1),6901(a,1))]. given #6732 (H,wt=18): 7956 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(7953(a,1),4764(a,1,2))]. given #6733 (H,wt=18): 7966 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(7959(a,1),6225(a,1))]. given #6734 (H,wt=18): 7971 T(x,T(y,z)) != u * T(x,y) | K(z,K(y,x)) = u. [para(7963(a,1),43(a,1))]. given #6735 (H,wt=18): 7976 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(7968(a,2),6989(a,1))]. given #6736 (H,wt=18): 7982 T(T(K(x,y),z),u) != w | K(x,T(T(y,u),z)) = w. [para(7733(a,2),7980(a,1))]. given #6737 (H,wt=18): 7983 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(7961(a,2),7980(a,1))]. given #6738 (H,wt=18): 8015 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(8013(a,1),4260(a,1))]. given #6739 (H,wt=18): 8039 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8031(a,1),4678(a,1,1))]. given #6740 (H,wt=18): 8048 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8032(a,1),4663(a,1,2))]. given #6741 (H,wt=14): 8500 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8043(a,1),8048(a,1))]. given #6742 (H,wt=16): 8502 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8400(a,1),8048(a,1))]. given #6743 (H,wt=16): 8503 K(x,(y \ z) \ z) != u | T(K(x,y),z) = u. [para(7722(a,2),8500(a,1))]. given #6744 (H,wt=18): 8049 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(8032(a,1),4668(a,1,1))]. given #6745 (H,wt=18): 8074 K(x,y) * K(y,K(z,x)) != u | T(K(x,y),z) = u. [para(8057(a,1),4663(a,1,2))]. given #6746 (H,wt=18): 8096 K(x,K(y,z)) / y != u | 1 / T(y,K(x,z)) = u. [para(8071(a,1),4760(a,1,1))]. given #6747 (H,wt=15): 8504 T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). [hyper(8096,a,8414,a(flip)),flip(a)]. given #6748 (H,wt=18): 8102 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8076(a,1),5851(a,1,1))]. given #6749 (H,wt=18): 8103 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. [para(8076(a,1),5853(a,1,1))]. given #6750 (H,wt=18): 8126 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(8115(a,1),5979(a,1,1))]. given #6751 (H,wt=18): 8243 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(7958(a,2),8097(a,1))]. given #6752 (H,wt=18): 8244 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7777(a,1),8109(a,1,2))]. given #6753 (H,wt=18): 8245 (K(x,y) * z) * K(y,x) != u | T(z,K(x,y)) = u. [para(7920(a,2),8134(a,1))]. given #6754 (H,wt=18): 8251 K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. [para(7796(a,1),8223(a,1))]. given #6755 (H,wt=18): 8252 K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. [para(7807(a,1),8223(a,1))]. given #6756 (H,wt=18): 8260 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(23(a,1),8249(a,1,2))]. given #6757 (H,wt=18): 8268 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8043(a,1),42(a,1))]. given #6758 (H,wt=18): 8269 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8047(a,2),7980(a,1))]. given #6759 (H,wt=18): 8271 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(8068(a,1),8055(a,1))]. given #6760 (H,wt=18): 8274 K(x,K(y,z)) != K(x,y) * u | K(y,T(x,z)) = u. [para(8082(a,1),42(a,1))]. given #6761 (H,wt=18): 8275 K(x,y) * K(y,K(x,z)) != u | K(x,T(y,z)) = u. [para(8082(a,1),5852(a,1,2)),flip(b)]. given #6762 (H,wt=18): 8276 K(x,K(y,T(z,u))) != w | K(y,K(T(x,u),z)) = w. [para(8090(a,1),8109(a,1))]. given #6763 (H,wt=18): 8277 K(x,T(y,z)) != u | K(x,y) * K(y,K(x,z)) = u. [para(8092(a,1),2094(a,1))]. given #6764 (H,wt=18): 8279 K(x,T(y,z)) != K(x,y) * u | K(x,K(z,y)) = u. [para(8093(a,1),42(a,1))]. given #6765 (H,wt=18): 8284 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(8118(a,1),512(a,1))]. given #6766 (H,wt=18): 8289 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(8120(a,1),7941(a,1,1)),flip(b)]. given #6767 (H,wt=18): 8291 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(8123(a,1),7941(a,1,1)),flip(b)]. given #6768 (H,wt=18): 8293 K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. [para(8145(a,1),302(a,1,2))]. given #6769 (H,wt=18): 8297 K(1 / x,T(y,z)) != u | K(1 / T(x,z),y) = u. [para(8151(a,1),8247(a,1))]. given #6770 (H,wt=18): 8299 K(x \ 1,T(y,z)) != u | K(T(x,z) \ 1,y) = u. [para(8157(a,1),8223(a,1))]. given #6771 (H,wt=18): 8324 K(x,K(y,z)) != u | K(x,y) * K(y,T(x,z)) = u. [para(8273(a,1),2094(a,1))]. given #6772 (H,wt=18): 8325 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8273(a,1),6909(a,1,1))]. given #6773 (H,wt=18): 8341 K(x,y \ z) * y != u | y * K(x,z / y) = u. [para(110(a,1),8210(a,1,1,2))]. given #6774 (H,wt=18): 8342 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(7799(a,1),8210(a,1,1))]. given #6775 (H,wt=18): 8344 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7754(a,2),8248(a,1))]. given #6776 (H,wt=18): 8393 K(x,K(y,z)) * z != u | T(z,K(x \ 1,y)) = u. [para(8374(a,1),8084(a,1,1))]. given #6777 (H,wt=18): 8415 K(x,K(y \ z,u)) != w | K(z \ y,K(x,u)) = w. [para(8391(a,1),6972(a,1))]. given #6778 (H,wt=18): 8421 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8398(a,2),8109(a,1))]. given #6779 (H,wt=18): 8422 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8401(a,1),8109(a,1))]. given #6780 (H,wt=18): 8433 T(x,K(y \ z,u)) != w | T(x,K(u,z \ y)) = w. [para(6782(a,1),8376(a,1,2))]. given #6781 (H,wt=18): 8434 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5964(a,1),8384(a,1,2))]. given #6782 (H,wt=18): 8435 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5968(a,2),8384(a,1,2))]. given #6783 (H,wt=18): 8438 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(6717(a,1),8411(a,1,2))]. given #6784 (H,wt=18): 8442 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8386(a,1),8439(a,1))]. given #6785 (H,wt=18): 8457 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8201(a,2),7036(a,1))]. given #6786 (H,wt=18): 8470 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(8336(a,1),6160(a,1,1))]. given #6787 (H,wt=18): 8480 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4140(a,1),8478(a,1,2))]. given #6788 (H,wt=18): 8482 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6745(a,1),8478(a,1,2))]. given #6789 (H,wt=18): 8496 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5839(a,1),7811(a,1))]. given #6790 (H,wt=18): 8497 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6892(a,1),7820(a,1))]. given #6791 (H,wt=18): 8499 T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. [para(7723(a,2),7982(a,1,1))]. given #6792 (H,wt=18): 8506 T(1 / x,K(y,z)) \ 1 != u | T(x,K(y,z)) = u. [para(8504(a,2),303(a,1,1)),flip(b)]. given #6793 (H,wt=18): 8507 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2147(a,1),8289(a,1))]. given #6794 (H,wt=18): 8508 T(K(1 / x,y),z) != u | K(1 / T(x,z),y) = u. [para(7723(a,1),8297(a,1))]. given #6795 (H,wt=18): 8509 K(x,K(y,z)) != u | K(y,z) * K(z,T(y,x)) = u. [para(8060(a,1),8324(a,1))]. given #6796 (H,wt=18): 8510 K(x,K(y,z)) * K(x,z) != u | K(x,T(z,y)) = u. [para(8060(a,2),8325(a,1,1))]. given #6797 (H,wt=18): 8512 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7974(a,1),8457(a,1))]. given #6798 (H,wt=18): 8514 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7784(a,1),8496(a,1,1))]. given #6799 (H,wt=18): 8515 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7784(a,1),8497(a,1,2))]. given #6800 (H,wt=18): 8516 K(T(x,y),T(z,u)) != w | K(x,T(T(z,y),u)) = w. [para(7784(a,2),8499(a,1))]. given #6801 (H,wt=19): 7624 T(K(x \ 1,y) * z,y) = K(x,y \ 1) * T(z,y). [hyper(286,a,6462,a(flip),b,7618,a),flip(a)]. given #6802 (H,wt=19): 7627 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(62,a,5703,a,b,7622,a)]. given #6803 (H,wt=13): 8518 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(34,a,4667,a(flip),b,7627,a)]. given #6804 (H,wt=13): 8519 K(x \ K(y,z),y) = K(x,y \ 1). [hyper(286,a,6458,a(flip),b,8518,a),flip(a)]. given #6805 (H,wt=16): 8520 K(x \ K(y,z),y) != u | K(x,y \ 1) = u. [para(8518(a,2),6476(a,1))]. given #6806 (H,wt=19): 7632 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7622(a,1),6640(a,1,1,2)),flip(a)]. given #6807 (H,wt=15): 8522 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(286,a,6624,a(flip),b,7632,a),flip(a)]. given #6808 (H,wt=15): 8525 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6883(a,1),8522(a,1,2,1)),flip(a)]. given #6809 (H,wt=15): 8527 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7736(a,1),8522(a,1,2,1))]. given #6810 (H,wt=15): 8528 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7827(a,1),8522(a,1,2,1)),flip(a)]. given #6811 (H,wt=16): 8535 K(x,y \ K(z,x)) != u | K(x,y \ 1) = u. [para(8528(a,1),7026(a,1))]. given #6812 (H,wt=17): 8531 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(8525(a,1),4659(a,2,2))]. given #6813 (H,wt=15): 8536 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(286,a,4659,a,b,8531,a),flip(a)]. given #6814 (H,wt=13): 8537 T(x,T(x,y) \ z) = T(x,x \ z). [para(4621(a,1),8536(a,1,2,1)),flip(a)]. given #6815 (H,wt=13): 8538 T(x,T(y,x) \ z) = T(x,y \ z). [para(4659(a,2),8536(a,1,2,1))]. given #6816 (H,wt=15): 8539 T(x,(x \ y) \ z) = T(x,(y / x) \ z). [para(6193(a,1),8536(a,1,2,1))]. given #6817 (H,wt=15): 8540 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6883(a,1),8536(a,1,2,1)),flip(a)]. given #6818 (H,wt=15): 8541 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7822(a,1),8536(a,1,2,1))]. given #6819 (H,wt=17): 8544 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(62,a,4279,a,b,8537,a)]. given #6820 (H,wt=18): 8532 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6249(a,1),8525(a,1,2,1,2))]. given #6821 (H,wt=19): 7655 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7650(a,1),468(a,1,1,1)),flip(a)]. given #6822 (H,wt=12): 8550 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(7575,a,7655,a)]. given #6823 (H,wt=19): 7660 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7650(a,1),7242(a,1,1,1)),flip(a)]. given #6824 (H,wt=19): 7675 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7667(a,1),5763(a,1,1))]. given #6825 (H,wt=19): 7681 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7670(a,1),6024(a,1,1)),flip(a)]. given #6826 (H,wt=19): 7685 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(7658(a,1),104(a,1,1)),flip(a)]. given #6827 (H,wt=12): 8551 L(K(x,y),z,x \ 1) = K(x,y). [hyper(7575,a,7685,a)]. given #6828 (H,wt=19): 7706 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(700(a,1),7702(a,1,2))]. given #6829 (H,wt=19): 7713 (x / L(y,z,y)) * K(u,y) = x / T(L(y,z,y),u). [para(7711(a,1),6605(a,1,2))]. given #6830 (H,wt=19): 7718 K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. [para(1824(a,1),7698(a,1,2))]. given #6831 (H,wt=19): 7726 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(286,a,7406,a,b,7723,a)]. given #6832 (H,wt=19): 7767 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(25(a,2),7736(a,1,2,2))]. given #6833 (H,wt=19): 7813 K(x,T(y,z)) * (T(x,z) * u) = T(T(x,y),z) * u. [para(7777(a,1),5762(a,1,1))]. given #6834 (H,wt=19): 7816 T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). [para(7777(a,1),6612(a,2,2,2))]. given #6835 (H,wt=15): 8557 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(7772,a,7816,a(flip)),flip(a)]. given #6836 (H,wt=15): 8558 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8317(a,1),8557(a,1,1,2))]. given #6837 (H,wt=17): 8559 T(x / T(y,z),y) / (y \ x) = K(z,T(y,x)). [hyper(116,a,8558,a,b,7810,a)]. given #6838 (H,wt=19): 7849 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6894(a,1),7808(a,1,2))]. given #6839 (H,wt=19): 7863 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(62,a,7069,a(flip),b,7781,a),flip(a)]. given #6840 (H,wt=19): 7867 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(115,a,7669,a(flip),b,5733,a),flip(a)]. given #6841 (H,wt=19): 7883 (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). [para(7874(a,1),495(a,1,2))]. given #6842 (H,wt=19): 7889 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(7879(a,1),92(a,1,2))]. given #6843 (H,wt=12): 8562 R(K(x,y),z,x \ 1) = K(x,y). [hyper(7165,a,7889,a)]. given #6844 (H,wt=12): 8566 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(62,a,7402,a(flip),b,8562,a)]. given #6845 (H,wt=14): 8567 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(8566(a,1),4659(a,2,2))]. given #6846 (H,wt=12): 8568 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(286,a,4659,a,b,8567,a),flip(a)]. given #6847 (H,wt=13): 8570 T(x,y * (x \ 1)) = T(x,y / x). [para(560(a,1),8568(a,1,2))]. given #6848 (H,wt=13): 8571 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(286,a,3932,a,b,8570,a),flip(a)]. given #6849 (H,wt=13): 8572 T(x,x \ (y / (x \ 1))) = T(x,y). [para(12(a,1),8571(a,1,2)),flip(a)]. given #6850 (H,wt=14): 8569 T(x,R(y,z,x \ 1)) \ x = K(y,x). [para(8567(a,2),4736(a,1,1))]. given #6851 (H,wt=12): 8574 K(R(x,y,z \ 1),z) = K(x,z). [hyper(4684,a,8569,a)]. given #6852 (H,wt=17): 8573 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [para(8572(a,1),7163(a,1,2,1))]. given #6853 (H,wt=19): 7916 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7866(a,1),6305(a,1,1)),flip(a)]. given #6854 (H,wt=19): 7919 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7894(a,1),23(a,1,1)),flip(a)]. given #6855 (H,wt=19): 7922 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7723(a,2),7910(a,1,2,2))]. given #6856 (H,wt=19): 7926 (x * (K(y,x) * z)) * K(x,y) = T(x * z,K(x,y)). [para(5885(a,1),7920(a,1,1))]. given #6857 (H,wt=19): 7935 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7723(a,2),7923(a,1,1))]. given #6858 (H,wt=19): 7944 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7940(a,1),4675(a,1,1))]. given #6859 (H,wt=19): 8005 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(8004(a,1),92(a,1,2))]. given #6860 (H,wt=19): 8052 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8032(a,1),6811(a,1,2))]. given #6861 (H,wt=19): 8087 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(8060(a,2),6613(a,1,1,2))]. given #6862 (H,wt=19): 8088 x * T(x \ y,K(z,u)) = y * K(z,K(u,x \ y)). [para(8060(a,2),6796(a,2,2))]. given #6863 (H,wt=19): 8125 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8115(a,1),4011(a,1,2))]. given #6864 (H,wt=19): 8135 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8081(a,1),7172(a,1,3)),flip(a)]. given #6865 (H,wt=19): 8148 K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). [para(7735(a,2),8132(a,1,1))]. given #6866 (H,wt=17): 8587 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(34,a,7767,a(flip),b,8148,a),flip(a)]. given #6867 (H,wt=19): 8153 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8140(a,1),214(a,1,2,1)),flip(a)]. given #6868 (H,wt=19): 8154 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8140(a,1),247(a,1,2,2,1))]. given #6869 (H,wt=17): 8590 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5983,a,8154,a)]. given #6870 (H,wt=19): 8161 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8144(a,1),215(a,1,2,1)),flip(a)]. given #6871 (H,wt=19): 8195 K(((x * y) \ x) \ z,y) = K(z / ((x * y) \ x),y). [hyper(62,a,6761,a(flip),b,8141,a)]. given #6872 (H,wt=19): 8233 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4711(a,1),8184(a,1,2,2)),flip(a)]. given #6873 (H,wt=19): 8267 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7799(a,1),8042(a,1,1,2)),flip(a)]. given #6874 (H,wt=15): 8593 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(286,a,8042,a(flip),b,8267,a),flip(a)]. given #6875 (H,wt=19): 8272 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7777(a,1),8072(a,1,2,2))]. given #6876 (H,wt=19): 8278 K(x,y \ z) * K(x,K(y,y \ z)) = K(x,z / y). [hyper(286,a,8169,a(flip),b,8093,a),flip(a)]. given #6877 (H,wt=19): 8298 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4053(a,1),8157(a,1,1,1)),flip(a)]. given #6878 (H,wt=17): 8596 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(62,a,8465,a(flip),b,8298,a),flip(a)]. given #6879 (H,wt=19): 8304 x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. [para(8191(a,1),4458(a,1,2,1))]. given #6880 (H,wt=19): 8307 K(x \ y,(z * x) \ y) = K(y / x,z \ (y / x)). [hyper(7431,a,8199,a(flip)),flip(a)]. given #6881 (H,wt=19): 8328 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(222(a,1),8295(a,1,2,2,1))]. given #6882 (H,wt=19): 8329 K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). [para(222(a,1),8296(a,1,1,2,1))]. given #6883 (H,wt=19): 8337 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(8158(a,1),8335(a,1,1,2))]. given #6884 (H,wt=19): 8389 T(K(x,y \ 1) * z,K(x,y)) = z * K(x,y \ 1). [hyper(62,a,8120,a(flip),b,8373,a),flip(a)]. given #6885 (H,wt=19): 8390 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8373(a,1),8124(a,1,2))]. given #6886 (H,wt=19): 8404 K(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). [para(8380(a,1),8092(a,1,1))]. given #6887 (H,wt=19): 8405 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(62,a,6246,a,b,8381,a)]. given #6888 (H,wt=17): 8600 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8374(a,1),8405(a,1,1))]. given #6889 (H,wt=17): 8601 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8381(a,1),8405(a,1,1))]. given #6890 (H,wt=17): 8603 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(62,a,8600,a(flip),b,8601,a)]. given #6891 (H,wt=17): 8604 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(286,a,8056,a,b,8603,a)]. given #6892 (H,wt=19): 8417 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6242(a,2),8394(a,1,2))]. given #6893 (H,wt=19): 8426 K(x,L(T(y,z \ 1),u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,2),8423(a,1,2))]. given #6894 (H,wt=19): 8430 K(x,T(y,z \ (u \ 1))) = K(x,T(y,u / (z \ 1))). [para(6410(a,1),8423(a,1,2,2)),flip(a)]. given #6895 (H,wt=19): 8451 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8250,a,8181,a)]. given #6896 (H,wt=19): 8456 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8201(a,1),4659(a,2,2))]. given #6897 (H,wt=17): 8609 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(4730,a,8456,a),flip(a)]. given #6898 (H,wt=17): 8610 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(9(a,1),8609(a,1,2,1,1)),flip(a)]. given #6899 (H,wt=15): 8611 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4757(a,1),8610(a,1,2)),flip(a)]. given #6900 (H,wt=19): 8458 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8212(a,1),7736(a,1,2)),flip(a)]. given #6901 (H,wt=19): 8487 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3920(a,1),8468(a,1,2,2))]. given #6902 (H,wt=19): 8517 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(6458(a,1),7624(a,1,1,1))]. given #6903 (H,wt=19): 8521 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8518(a,1),6796(a,2,2)),flip(a)]. given #6904 (H,wt=19): 8524 K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). [para(6696(a,1),8522(a,1,2,1)),flip(a)]. given #6905 (H,wt=19): 8526 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7277(a,1),8522(a,1,2,1)),flip(a)]. given #6906 (H,wt=19): 8530 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [hyper(286,a,6895,a,b,8525,a),flip(a)]. given #6907 (H,wt=18): 8615 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8530(a,2),6902(a,1))]. given #6908 (H,wt=18): 8617 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(6193(a,1),8615(a,1,2,1))]. given #6909 (H,wt=18): 8620 K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. [para(7822(a,1),8615(a,1,2,1))]. given #6910 (H,wt=18): 8621 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(5803(a,1),8620(a,1,2,1))]. given #6911 (H,wt=19): 8534 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6567(a,1),8527(a,1,2,1)),flip(a)]. given #6912 (H,wt=19): 8546 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7093(a,1),8540(a,1,2,1)),flip(a)]. given #6913 (H,wt=19): 8549 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(92(a,1),8532(a,1,2,1))]. given #6914 (H,wt=19): 8552 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(7685(a,1),6895(a,1,1))]. given #6915 (H,wt=19): 8554 (x / L(y,z,y)) * K(u,y) = x / L(T(y,u),z,y). [para(25(a,2),7713(a,2,2))]. given #6916 (H,wt=19): 8555 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(27(a,2),7726(a,2,2))]. given #6917 (H,wt=19): 8564 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(216,a,7889,a,b,6549,a)]. given #6918 (H,wt=19): 8579 x * ((K(y,x) * z) * K(x,y)) = T(x * z,K(x,y)). [hyper(7665,a,7926,a)]. given #6919 (H,wt=15): 8624 T(x * y,K(x,z)) = x * T(y,K(z,x)). [para(8118(a,1),8579(a,1,2)),flip(a)]. given #6920 (H,wt=19): 8581 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [hyper(8514,a,7944,a(flip)),flip(a)]. given #6921 (H,wt=19): 8584 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6883(a,1),8052(a,1,1)),flip(a)]. given #6922 (H,wt=19): 8585 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [hyper(116,a,8088,a(flip),b,400,a)]. given #6923 (H,wt=17): 8628 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [para(4659(a,2),8585(a,1,1))]. given #6924 (H,wt=19): 8592 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(62,a,4511,a(flip),b,8233,a)]. given #6925 (H,wt=17): 8629 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4727,a,8592,a)]. given #6926 (H,wt=19): 8594 T(K(x,y),K(z,y) \ u) = T(K(x,y),u / K(z,y)). [para(7930(a,1),8593(a,1,2)),flip(a)]. given #6927 (H,wt=19): 8608 K(x,L(T(y,z \ 1),u,w)) = K(x,L(T(y,z),u,w)). [para(25(a,2),8426(a,2,2))]. given #6928 (H,wt=19): 8614 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(271(a,1),8526(a,1,2,1,1))]. given #6929 (H,wt=19): 8622 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7723(a,2),8555(a,1,1))]. given #6930 (H,wt=19): 8625 T(x * (y * K(x,z)),K(x,z)) = x * (K(x,z) * y). [para(6894(a,1),8624(a,2,2))]. given #6931 (H,wt=17): 8633 T(x * (y * K(x,z)),K(x,z)) = T(x,z) * y. [hyper(286,a,4638,a(flip),b,8625,a),flip(a)]. given #6932 (H,wt=19): 8626 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8031(a,1),8581(a,1,1))]. given #6933 (H,wt=19): 8632 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),8622(a,1,2)),flip(a)]. given #6934 (H,wt=16): 8636 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(286,a,347,a(flip),b,8632,a),flip(a)]. given #6935 (H,wt=16): 8637 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,8636,a),flip(a)]. given #6936 (H,wt=19): 8635 T(x * (y * z),K(x,z)) = T(x,z) * (y * T(z,x)). [para(6610(a,1),8633(a,1,1,2))]. given #6937 (H,wt=20): 7621 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7612(a,2),5724(a,1,2))]. given #6938 (H,wt=20): 7626 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5942(a,1),7618(a,1,1)),flip(a)]. given #6939 (H,wt=18): 8638 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7732(a,1),7626(a,1,2))]. given #6940 (H,wt=15): 8639 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(62,a,5942,a(flip),b,8638,a),flip(a)]. given #6941 (H,wt=17): 8640 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(244,a,8639,a)]. given #6942 (H,wt=16): 8641 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6652(a,1),8640(a,1,1))]. given #6943 (H,wt=20): 7640 T(T(x,y) \ (x * z),x) != T(x,y) \ u | z * x = u. [para(7609(a,2),46(a,1))]. given #6944 (H,wt=20): 7739 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(7723(a,2),532(a,1,2,2))]. given #6945 (H,wt=20): 7753 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7714(a,1),7068(a,1,1)),flip(a)]. given #6946 (H,wt=20): 7761 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7729(a,1),7236(a,1,1)),flip(a)]. given #6947 (H,wt=20): 7817 (x * K(y,T(z,u))) \ (x * z) != w | T(z,T(y,u)) = w. [para(7777(a,1),6611(a,1,1,2))]. given #6948 (H,wt=20): 7835 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7793(a,1),4668(a,1,1))]. given #6949 (H,wt=20): 7890 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7879(a,1),798(a,1,1)),flip(a)]. given #6950 (H,wt=20): 7970 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(7961(a,1),4663(a,1,2))]. given #6951 (H,wt=15): 8643 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(7970,a,7743,a),flip(a)]. given #6952 (H,wt=15): 8644 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(286,a,8472,a(flip),b,8643,a),flip(a)]. given #6953 (H,wt=15): 8645 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(286,a,6756,a(flip),b,8643,a),flip(a)]. given #6954 (H,wt=15): 8647 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(62,a,8611,a(flip),b,8644,a)]. given #6955 (H,wt=15): 8648 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(76(a,1),8644(a,2,2,2))]. given #6956 (H,wt=15): 8649 T(x,y \ (z \ y)) = T(x,y / (y * z)). [hyper(6084,a,8647,a),flip(a)]. given #6957 (H,wt=17): 8650 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8648(a,1),8138(a,1,1)),flip(a)]. given #6958 (H,wt=20): 7975 K(x \ y,T(z \ 1,u)) != w | K(y \ x,T(z,u)) = w. [para(7968(a,2),6802(a,1))]. given #6959 (H,wt=20): 7984 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(25(a,2),7981(a,1,1))]. given #6960 (H,wt=20): 7985 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7213(a,2),7981(a,1))]. given #6961 (H,wt=20): 7995 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(166(a,1),7988(a,1,2))]. given #6962 (H,wt=20): 8017 (x \ y) * T(x,z) != u * x | x \ (y * K(x,z)) = u. [para(7647(a,1),43(a,1))]. given #6963 (H,wt=20): 8051 K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. [para(8032(a,1),5747(a,1,1))]. given #6964 (H,wt=20): 8104 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(8076(a,1),5747(a,1,1))]. given #6965 (H,wt=20): 8105 K(x,K(y,z)) \ (x * u) != w | T(x,K(y,z)) * u = w. [para(8076(a,1),5750(a,1,1))]. given #6966 (H,wt=20): 8179 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(706(a,2),8155(a,1,2)),flip(a)]. given #6967 (H,wt=20): 8211 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(8156(a,1),490(a,1,1))]. given #6968 (H,wt=20): 8226 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(772(a,1),8170(a,1,2)),flip(a)]. given #6969 (H,wt=20): 8253 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7791(a,2),8223(a,1))]. given #6970 (H,wt=20): 8261 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),8249(a,1,2))]. given #6971 (H,wt=20): 8323 K(x,y / R(x,z,u)) != w | K(x,R(x,z,u) \ y) = w. [para(8142(a,1),8256(a,1))]. given #6972 (H,wt=20): 8345 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(163(a,1),8250(a,1,2))]. given #6973 (H,wt=20): 8348 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(163(a,1),8254(a,1,2))]. given #6974 (H,wt=20): 8351 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(2957(a,1),8259(a,1))]. given #6975 (H,wt=20): 8443 T(x,T(y,z)) * K(y,z) != K(y,z) * u | T(x,y) = u. [para(8139(a,2),42(a,1))]. given #6976 (H,wt=20): 8455 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8198(a,2),7498(a,1))]. given #6977 (H,wt=20): 8469 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8336(a,2),42(a,1))]. given #6978 (H,wt=20): 8483 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8472(a,1),8478(a,1,2))]. given #6979 (H,wt=20): 8489 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(2754(a,1),7665(a,1))]. given #6980 (H,wt=20): 8491 x * (T(x,y) \ K(z,x)) != u | K(z,x) * K(y,x) = u. [para(4643(a,2),7748(a,1))]. given #6981 (H,wt=20): 8498 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6778(a,1),7956(a,1,2))]. given #6982 (H,wt=13): 8651 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(8498,a,7958,a)]. given #6983 (H,wt=13): 8652 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(8058,a,8651,a)]. given #6984 (H,wt=13): 8653 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(10(a,1),8651(a,1,1)),flip(a)]. given #6985 (H,wt=13): 8654 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(286,a,8056,a,b,8652,a),flip(a)]. given #6986 (H,wt=13): 8655 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(10(a,1),8652(a,1,2,1)),flip(a)]. given #6987 (H,wt=13): 8656 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(8097,a,8653,a)]. given #6988 (H,wt=13): 8659 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(8109,a,8654,a)]. given #6989 (H,wt=13): 8660 K(x,K(y,y * z)) = K(y,K(z,x)). [hyper(8080,a,8654,a)]. given #6990 (H,wt=13): 8661 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(10(a,1),8654(a,1,2,1)),flip(a)]. given #6991 (H,wt=13): 8663 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(8097,a,8655,a)]. given #6992 (H,wt=13): 8666 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(8422,a,8656,a)]. given #6993 (H,wt=13): 8667 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(286,a,8060,a,b,8656,a),flip(a)]. given #6994 (H,wt=13): 8669 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(286,a,8077,a,b,8659,a),flip(a)]. given #6995 (H,wt=13): 8670 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(286,a,8077,a,b,8660,a),flip(a)]. given #6996 (H,wt=13): 8671 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(286,a,8060,a(flip),b,8660,a),flip(a)]. given #6997 (H,wt=13): 8672 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(62,a,8401,a(flip),b,8661,a)]. given #6998 (H,wt=13): 8676 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(10(a,1),8671(a,1,2,2)),flip(a)]. given #6999 (H,wt=13): 8677 K(x,K(y,z * y)) = K(x,K(y,z)). [para(5991(a,2),8671(a,1,2))]. given #7000 (H,wt=13): 8678 K(x,K(y,z / y)) = K(x,K(y,z)). [para(5992(a,1),8671(a,1,2)),flip(a)]. given #7001 (H,wt=13): 8681 K(x,K(x / y,z)) = K(x,K(z,y)). [para(76(a,1),8672(a,1,2,2)),flip(a)]. given #7002 (H,wt=13): 8682 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(8422,a,8676,a)]. given #7003 (H,wt=13): 8684 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(8055,a,8677,a)]. given #7004 (H,wt=13): 8688 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(8109,a,8681,a)]. given #7005 (H,wt=13): 8690 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(286,a,8077,a,b,8682,a),flip(a)]. given #7006 (H,wt=13): 8691 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(286,a,8031,a,b,8684,a),flip(a)]. given #7007 (H,wt=13): 8692 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(8435,a,8688,a),flip(a)]. given #7008 (H,wt=13): 8693 K(x,K(y,z / x)) = K(x,K(y,z)). [hyper(8434,a,8688,a)]. given #7009 (H,wt=13): 8694 K(x,K(y,z * x)) = K(x,K(z,y)). [hyper(8421,a,8688,a),flip(a)]. given #7010 (H,wt=13): 8695 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(8109,a,8690,a)]. given #7011 (H,wt=13): 8697 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(8097,a,8691,a)]. given #7012 (H,wt=13): 8700 K(x,K(y * x,z)) = K(x,K(y,z)). [hyper(8109,a,8694,a)]. given #7013 (H,wt=13): 8702 K(x,K(y \ z,z)) = K(z,K(x,y)). [hyper(286,a,8060,a(flip),b,8695,a),flip(a)]. given #7014 (H,wt=15): 8685 K(x,K(y,z * y)) = K(y,K(x,x * z)). [hyper(286,a,8670,a,b,8677,a),flip(a)]. given #7015 (H,wt=15): 8701 T(x,K(y,z * x)) = x * K(x,K(z,y)). [para(8694(a,1),4659(a,2,2))]. given #7016 (H,wt=13): 8705 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(8108,a,8701,a(flip)),flip(a)]. given #7017 (H,wt=13): 8706 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),8705(a,1,2,2)),flip(a)]. given #7018 (H,wt=13): 8707 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,8706,a),flip(a)]. given #7019 (H,wt=16): 8657 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(8653(a,1),7510(a,1))]. given #7020 (H,wt=16): 8658 K(x \ y,K(x,z)) != u | K(x,K(y,z)) = u. [para(8653(a,2),8058(a,1))]. given #7021 (H,wt=16): 8665 K(x \ y,K(x,z)) != u | K(y,K(x,z)) = u. [para(8655(a,2),8058(a,1))]. given #7022 (H,wt=16): 8668 K(x,K(y,z)) != u | K(y \ x,K(y,z)) = u. [para(8656(a,1),8080(a,1))]. given #7023 (H,wt=16): 8674 K(x,K(y,z)) != u | K(y,K(x,x * z)) = u. [para(8669(a,1),8058(a,1))]. given #7024 (H,wt=16): 8687 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8677(a,2),8109(a,1))]. given #7025 (H,wt=16): 8689 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8681(a,2),8109(a,1))]. given #7026 (H,wt=16): 8696 K(x,K(y,z \ y)) != u | K(x,K(y,z)) = u. [para(8690(a,2),8109(a,1))]. given #7027 (H,wt=16): 8698 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(8691(a,2),8055(a,1))]. given #7028 (H,wt=16): 8703 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8702(a,2),8097(a,1))]. given #7029 (H,wt=16): 8708 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(8056(a,1),8689(a,1))]. given #7030 (H,wt=16): 8709 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(8399(a,1),8696(a,1))]. given #7031 (H,wt=16): 8711 K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. [para(4788(a,1),8709(a,1,2))]. given #7032 (H,wt=17): 8664 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(62,a,8090,a(flip),b,8655,a)]. given #7033 (H,wt=17): 8675 K(x,K(y,(x * z) \ 1)) = K(x,K(y,z)) \ 1. [para(8669(a,1),8379(a,2,1))]. given #7034 (H,wt=17): 8680 K(x,K(y,(x * z) \ 1)) = K(y,K(x,z)) \ 1. [para(8671(a,1),8410(a,2,1))]. given #7035 (H,wt=17): 8683 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [para(8676(a,1),8278(a,1,2))]. given #7036 (H,wt=17): 8715 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(8342,a,8683,a)]. given #7037 (H,wt=17): 8717 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [para(8077(a,1),8683(a,1,2))]. given #7038 (H,wt=17): 8720 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(8102,a,8715,a)]. given #7039 (H,wt=17): 8722 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(8060(a,1),8715(a,1,1))]. given #7040 (H,wt=17): 8723 K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). [hyper(8342,a,8720,a)]. given #7041 (H,wt=17): 8725 K(x,K(y,z)) * K(z,x / y) = K(z,y \ x). [para(8031(a,1),8720(a,1,1))]. given #7042 (H,wt=17): 8726 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(8056(a,1),8720(a,1,1))]. given #7043 (H,wt=17): 8727 K(x,K(y,z)) * K(z,y / x) = K(z,x \ y). [para(8060(a,2),8720(a,1,1))]. given #7044 (H,wt=17): 8728 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(8077(a,1),8720(a,1,1))]. given #7045 (H,wt=17): 8730 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [para(8077(a,1),8723(a,1,2))]. given #7046 (H,wt=17): 8733 K(x,y \ z) * K(z / y,x) = K(y,K(z,x)). [hyper(6899,a,8727,a)]. given #7047 (H,wt=17): 8735 K(x \ y,z) * K(x,K(y,z)) = K(y / x,z). [hyper(5851,a,8733,a)]. given #7048 (H,wt=19): 8662 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(8654(a,1),8094(a,1,2))]. given #7049 (H,wt=19): 8679 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(8671(a,1),7950(a,1,1))]. given #7050 (H,wt=19): 8731 K(x,y / z) * K(x,K(z,z \ y)) = K(x,z \ y). [para(8676(a,2),8723(a,1,2))]. given #7051 (H,wt=20): 8575 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(8574(a,1),5783(a,1,1))]. given #7052 (H,wt=19): 8737 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(62,a,6176,a(flip),b,8575,a),flip(a)]. given #7053 (H,wt=17): 8739 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1237(a,1),8737(a,1,2,1))]. given #7054 (H,wt=17): 8740 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(175,a,8739,a),flip(a)]. given #7055 (H,wt=17): 8742 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(121,a,8740,a)]. given #7056 (H,wt=20): 8605 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8603(a,1),8058(a,1))]. given #7057 (H,wt=20): 8606 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8603(a,2),8058(a,1))]. given #7058 (H,wt=20): 8631 K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(499(a,1),8608(a,1,2)),flip(a)]. given #7059 (H,wt=20): 8634 T(x * (y * K(x,z)),K(x,z)) != u | T(x,z) * y = u. [para(8625(a,2),5835(a,1))]. given #7060 (H,wt=20): 8642 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(116,a,8641,a(flip),b,7476,a(flip))]. given #7061 (H,wt=20): 8713 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8664(a,2),8244(a,1))]. given #7062 (H,wt=20): 8714 K(x,K(y,(x * z) \ 1)) != u \ 1 | K(y,K(x,z)) = u. [para(8680(a,2),47(a,1))]. given #7063 (H,wt=20): 8743 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8600(a,2),8605(a,1))]. given #7064 (H,wt=20): 8744 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8056(a,1),8743(a,1,1))]. given #7065 (H,wt=20): 8745 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8077(a,1),8743(a,1,1))]. given #7066 (H,wt=21): 7636 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(25(a,2),7628(a,2,2))]. given #7067 (H,wt=21): 7639 T(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). [para(7631(a,1),7613(a,1,1))]. given #7068 (H,wt=21): 7656 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7650(a,1),469(a,1,1,1)),flip(a)]. given #7069 (H,wt=13): 8746 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7575,a,7656,a)]. given #7070 (H,wt=13): 8748 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(62,a,7083,a(flip),b,8746,a)]. given #7071 (H,wt=21): 7657 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7650(a,1),470(a,1,1,1)),flip(a)]. given #7072 (H,wt=19): 8749 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(521,a,7657,a),flip(a)]. given #7073 (H,wt=19): 8750 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(121,a,8749,a)]. given #7074 (H,wt=21): 7773 x * (T(y,x) * K(z,T(y,x))) = (K(z,y) * x) * T(y,x). [para(7736(a,1),6589(a,1,1)),flip(a)]. given #7075 (H,wt=19): 8752 (K(x,y) * z) * T(y,z) = z * T(y * K(x,y),z). [para(5775(a,1),7773(a,1,2)),flip(a)]. given #7076 (H,wt=17): 8753 (K(x,y) * z) * T(y,z) = (y * K(x,y)) * z. [hyper(286,a,108,a(flip),b,8752,a),flip(a)]. given #7077 (H,wt=11): 8754 T(x,K(y,x) * z) = T(x,z). [hyper(6057,a,8753,a)]. given #7078 (H,wt=11): 8757 T(x,K(x,y) \ z) = T(x,z). [para(5839(a,2),8754(a,1,2))]. given #7079 (H,wt=11): 8758 T(x,K(x,y) * z) = T(x,z). [para(5846(a,1),8754(a,1,2)),flip(a)]. given #7080 (H,wt=11): 8762 T(x,y * K(z,x)) = T(x,y). [para(7844(a,1),8754(a,1,2))]. given #7081 (H,wt=11): 8770 T(x,y * K(x,z)) = T(x,y). [para(8146(a,1),8758(a,1,2))]. given #7082 (H,wt=13): 8756 T(x,T(y,x) * z) = T(x,y * z). [para(4675(a,1),8754(a,1,2))]. given #7083 (H,wt=13): 8760 T(x,y * T(z,x)) = T(x,y * z). [para(6145(a,1),8754(a,1,2))]. given #7084 (H,wt=13): 8761 T(x,K(y,x \ 1) * z) = T(x,z). [para(6458(a,1),8754(a,1,2,1))]. given #7085 (H,wt=13): 8765 T(x,y * K(x,z \ 1)) = T(x,y). [para(6368(a,1),8758(a,1,2))]. given #7086 (H,wt=13): 8769 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7963(a,1),8758(a,1,2))]. given #7087 (H,wt=13): 8781 K(x,y * K(x,z)) = x \ T(x,y). [hyper(115,a,8770,a(flip),b,4659,a(flip)),flip(a)]. given #7088 (H,wt=11): 8792 K(x,y * K(x,z)) = K(x,y). [hyper(286,a,4614,a,b,8781,a),flip(a)]. given #7089 (H,wt=11): 8793 T(x,K(y,x * K(y,z))) = x. [para(8781(a,2),2801(a,1,2))]. given #7090 (H,wt=11): 8798 K(x,y * K(z,x)) = K(x,y). [para(6883(a,1),8792(a,1,2)),flip(a)]. given #7091 (H,wt=11): 8803 K(x,K(x,y) * z) = K(x,z). [para(7736(a,1),8792(a,1,2))]. given #7092 (H,wt=11): 8804 K(x,K(y,x) * z) = K(x,z). [para(7827(a,1),8792(a,1,2)),flip(a)]. given #7093 (H,wt=11): 8805 K(x,K(y,x * K(y,z))) = 1. [hyper(54,a,8793,a)]. given #7094 (H,wt=11): 8813 K(x,K(x,y) \ z) = K(x,z). [para(10(a,1),8803(a,1,2)),flip(a)]. given #7095 (H,wt=11): 8815 K(x,K(y,x) \ z) = K(x,z). [para(5839(a,2),8803(a,1,2))]. given #7096 (H,wt=13): 8790 T(x,K(y,1 / x) * z) = T(x,z). [para(3318(a,1),8761(a,1,2,1))]. given #7097 (H,wt=13): 8796 K(x,y * T(z,x)) = K(x,y * z). [para(6610(a,1),8792(a,1,2)),flip(a)]. given #7098 (H,wt=13): 8799 K(x,y \ T(z,x)) = K(x,y \ z). [para(7054(a,1),8792(a,1,2)),flip(a)]. given #7099 (H,wt=13): 8807 K(x * K(y,z),z) = 1 / K(z,x). [para(8798(a,1),4794(a,1,2)),flip(a)]. given #7100 (H,wt=11): 8822 K(x * K(y,z),z) = K(x,z). [hyper(286,a,4794,a(flip),b,8807,a),flip(a)]. given #7101 (H,wt=11): 8831 K(x * K(y,z),y) = K(x,y). [para(6883(a,1),8822(a,1,1)),flip(a)]. given #7102 (H,wt=11): 8832 K(K(x,y) * z,x) = K(z,x). [para(7763(a,1),8822(a,1,1)),flip(a)]. given #7103 (H,wt=11): 8833 K(K(x,y) * z,y) = K(z,y). [para(7822(a,1),8822(a,1,1))]. given #7104 (H,wt=11): 8838 K(K(x,y) \ z,x) = K(z,x). [para(10(a,1),8832(a,1,1)),flip(a)]. given #7105 (H,wt=13): 8809 K(x,y \ T(y * z,x)) = K(x,z). [para(6126(a,2),8798(a,1,2))]. given #7106 (H,wt=13): 8810 K(x,y * K(z,x \ 1)) = K(x,y). [para(6458(a,1),8798(a,1,2,2))]. given #7107 (H,wt=13): 8814 K(x,T(x,y) * z) = K(x,x * z). [para(4675(a,1),8803(a,1,2))]. given #7108 (H,wt=13): 8824 K(x * T(y,z),z) = K(x * y,z). [para(1271(a,1),8822(a,1,1))]. given #7109 (H,wt=13): 8829 K(x * K(y,z \ 1),z) = K(x,z). [para(6458(a,1),8822(a,1,1,2))]. given #7110 (H,wt=13): 8830 K(x * T(y,z),y) = K(x * y,y). [para(6610(a,1),8822(a,1,1)),flip(a)]. given #7111 (H,wt=13): 8839 K(T(x,y) * z,x) = K(x * z,x). [para(4675(a,1),8832(a,1,1))]. given #7112 (H,wt=13): 8840 K(T(x,y) \ z,x) = K(x \ z,x). [para(5715(a,1),8832(a,1,1)),flip(a)]. given #7113 (H,wt=13): 8849 K(K(x,y \ 1) * z,y) = K(z,y). [para(6458(a,1),8833(a,1,1,1))]. given #7114 (H,wt=13): 8857 K(x * T(y,z),y) = K(y * x,y). [hyper(286,a,7011,a(flip),b,8830,a),flip(a)]. given #7115 (H,wt=13): 8862 K(K(x,1 / y) * z,y) = K(z,y). [para(3318(a,1),8849(a,1,1,1))]. given #7116 (H,wt=13): 8867 K(x * (y / T(x,z)),x) = K(y,x). [para(12(a,1),8857(a,1,1)),flip(a)]. given #7117 (H,wt=14): 8763 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(286,a,2843,a(flip),b,8758,a),flip(a)]. given #7118 (H,wt=14): 8794 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8781(a,2),4728(a,1))]. given #7119 (H,wt=14): 8808 K(x,y * L(K(z,x),u,w)) = K(x,y). [para(6249(a,1),8798(a,1,2,2))]. given #7120 (H,wt=14): 8817 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(7387(a,1),8803(a,1,2,1))]. given #7121 (H,wt=14): 8818 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6237(a,1),8804(a,1,2,1))]. given #7122 (H,wt=14): 8823 K(x * K(y,z),z) != u | K(x,z) = u. [para(8807(a,2),4797(a,1))]. given #7123 (H,wt=14): 8827 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6249(a,1),8822(a,1,1,2))]. given #7124 (H,wt=14): 8844 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(7387(a,1),8832(a,1,1,1))]. given #7125 (H,wt=14): 8851 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8838(a,1),7510(a,1))]. given #7126 (H,wt=14): 8870 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7736(a,1),8794(a,1,2))]. given #7127 (H,wt=14): 8873 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7241(a,1),8817(a,1,2,1))]. given #7128 (H,wt=14): 8874 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(7402(a,1),8818(a,1,2,1))]. given #7129 (H,wt=14): 8875 K(x * y,y) != z | K(y * x,y) = z. [para(85(a,1),8823(a,1,1))]. given #7130 (H,wt=14): 8878 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7241(a,1),8844(a,1,1,1))]. given #7131 (H,wt=14): 8880 K(x * y,x) != z | K(y * x,x) = z. [para(4605(a,1),8851(a,1,1))]. given #7132 (H,wt=14): 8892 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(8209(a,1),8873(a,1,2)),flip(a)]. given #7133 (H,wt=15): 8766 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(6455(a,1),8758(a,1,2,1))]. given #7134 (H,wt=15): 8768 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(8758(a,1),7777(a,1,1)),flip(a)]. given #7135 (H,wt=15): 8777 T(x,y / (x \ z)) = T(x,y / (z / x)). [para(7112(a,1),8762(a,1,2)),flip(a)]. given #7136 (H,wt=15): 8786 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7093(a,1),8770(a,1,2)),flip(a)]. given #7137 (H,wt=15): 8791 T(x,T(y,x \ z)) = T(x,T(y,z / x)). [para(110(a,1),8769(a,1,2,2))]. given #7138 (H,wt=15): 8797 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6661(a,1),8792(a,1,2)),flip(a)]. given #7139 (H,wt=15): 8801 K(x,y / (x \ z)) = K(x,y / (z / x)). [para(7121(a,1),8792(a,1,2))]. given #7140 (H,wt=15): 8816 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(6466(a,1),8803(a,1,2))]. given #7141 (H,wt=15): 8819 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(8813(a,1),8032(a,1,1)),flip(a)]. given #7142 (H,wt=15): 8821 K(K(x,1 / y) * z,y) = y / T(y,z). [para(8790(a,1),4617(a,2,2))]. given #7143 (H,wt=15): 8835 K(x * (y * z),z) = K(x * (z * y),z). [para(7093(a,1),8831(a,1,1)),flip(a)]. given #7144 (H,wt=15): 8846 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8832(a,1),8032(a,1,1)),flip(a)]. given #7145 (H,wt=15): 8850 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7795(a,1),8833(a,1,1,1))]. given #7146 (H,wt=15): 8855 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(1270(a,1),8829(a,1,1))]. given #7147 (H,wt=15): 8866 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(286,a,8839,a,b,8857,a)]. given #7148 (H,wt=15): 8868 K((1 / x) * y,x) = K(y * (1 / x),x). [para(4605(a,1),8862(a,1,1)),flip(a)]. given #7149 (H,wt=15): 8869 K(T(x,1 / y) / z,y) = K(x / z,y). [para(6144(a,1),8862(a,1,1))]. given #7150 (H,wt=15): 8871 K(x,y * (z * K(u,x))) = K(x,y * z). [para(92(a,1),8808(a,1,2))]. given #7151 (H,wt=15): 8872 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(104(a,1),8817(a,1,2))]. given #7152 (H,wt=15): 8877 K((K(x,y) * z) * u,x) = K(z * u,x). [para(104(a,1),8844(a,1,1))]. given #7153 (H,wt=15): 8898 T(x \ 1,y * x) = T(x \ 1,x * y). [para(4605(a,1),8766(a,1,2)),flip(a)]. given #7154 (H,wt=15): 8899 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(286,a,7777,a(flip),b,8768,a),flip(a)]. given #7155 (H,wt=15): 8900 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(286,a,7705,a,b,8777,a)]. given #7156 (H,wt=15): 8901 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5846(a,1),8797(a,1,2,1)),flip(a)]. given #7157 (H,wt=15): 8903 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(286,a,7677,a,b,8801,a)]. given #7158 (H,wt=15): 8904 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(286,a,8032,a(flip),b,8819,a),flip(a)]. given #7159 (H,wt=15): 8905 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(286,a,8032,a(flip),b,8846,a),flip(a)]. given #7160 (H,wt=14): 8923 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8905(a,1),6819(a,1,3))]. given #7161 (H,wt=15): 8912 K(x,(y * K(x,z)) * u) = K(x,y * u). [para(8146(a,1),8872(a,1,2,1))]. given #7162 (H,wt=15): 8913 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(286,a,4114,a(flip),b,8898,a),flip(a)]. given #7163 (H,wt=15): 8918 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8036(a,1),8899(a,1,2,2))]. given #7164 (H,wt=15): 8919 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8146(a,1),8899(a,1,2,2))]. given #7165 (H,wt=15): 8920 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8146(a,1),8901(a,1,2,1))]. given #7166 (H,wt=15): 8921 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(8058,a,8904,a)]. given #7167 (H,wt=15): 8922 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5846(a,1),8905(a,1,1)),flip(a)]. given #7168 (H,wt=15): 8924 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8146(a,1),8905(a,1,1))]. given #7169 (H,wt=15): 8928 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(8500,a,8918,a)]. given #7170 (H,wt=16): 8876 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1270(a,1),8823(a,1,1))]. given #7171 (H,wt=16): 8891 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7963(a,1),8873(a,1,2))]. given #7172 (H,wt=16): 8893 K((x \ 1) \ y,y) != z | K(y * x,y) = z. [para(7008(a,2),8875(a,1))]. given #7173 (H,wt=16): 8895 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4644(a,1),8878(a,1,1)),flip(a)]. given #7174 (H,wt=17): 8852 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6717(a,1),8810(a,1,2,2))]. given #7175 (H,wt=17): 8853 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7612(a,2),8814(a,1,2))]. given #7176 (H,wt=17): 8856 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6717(a,1),8829(a,1,1,2))]. given #7177 (H,wt=17): 8860 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(8840(a,1),5776(a,1,1,2))]. given #7178 (H,wt=15): 8937 T(x / (x / y),z) = x / (x / T(y,z)). [para(4584(a,2),8860(a,1,1))]. given #7179 (H,wt=15): 8940 T(x / (x / y),z) \ x = x / T(y,z). [hyper(175,a,8937,a(flip))]. given #7180 (H,wt=15): 8944 T(x / y,z) \ x = x / T(y \ x,z). [para(73(a,1),8940(a,1,1,1,2))]. given #7181 (H,wt=15): 8947 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(175,a,8944,a(flip))]. given #7182 (H,wt=15): 8948 T(x / y,z) \ x = y * K(z,y \ x). [hyper(38,a,6606,a,b,8947,a),flip(a)]. given #7183 (H,wt=15): 8949 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(73(a,1),8947(a,1,1,1,1)),flip(a)]. given #7184 (H,wt=15): 8951 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(182,a,8948,a)]. given #7185 (H,wt=15): 8953 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(5980,a,8949,a)]. given #7186 (H,wt=15): 8960 x / T(T(y,z),y \ x) = T(y,z) \ x. [hyper(182,a,8953,a(flip))]. given #7187 (H,wt=15): 8961 T(T(x,y),x \ y) = (x \ T(y,x)) \ y. [para(3928(a,1),8953(a,2,1))]. given #7188 (H,wt=15): 8962 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(23(a,1),8960(a,1,2))]. given #7189 (H,wt=17): 8863 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5789(a,1),8849(a,1,1,1))]. given #7190 (H,wt=17): 8888 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4605(a,1),8873(a,1,2))]. given #7191 (H,wt=17): 8894 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4605(a,1),8878(a,1,1))]. given #7192 (H,wt=17): 8906 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4644(a,1),8850(a,1,1)),flip(a)]. given #7193 (H,wt=17): 8916 x * T(x \ 1,y * x) = K(x \ 1,x * y). [para(8898(a,2),4615(a,1,2))]. given #7194 (H,wt=15): 8966 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4861,a,8916,a)]. given #7195 (H,wt=17): 8926 K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). [para(6605(a,1),8912(a,1,2,1))]. given #7196 (H,wt=17): 8927 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(10(a,1),8913(a,1,2))]. given #7197 (H,wt=17): 8931 K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). [para(6861(a,1),8920(a,1,2,1)),flip(a)]. given #7198 (H,wt=17): 8950 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(8947(a,1),7722(a,1,2)),flip(a)]. given #7199 (H,wt=16): 8971 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(8950(a,1),8223(a,1))]. given #7200 (H,wt=17): 8958 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). [para(8949(a,2),7722(a,1,2))]. given #7201 (H,wt=17): 8959 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(9(a,1),8951(a,1,2,2,2))]. given #7202 (H,wt=17): 8967 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(286,a,4181,a,b,8966,a)]. given #7203 (H,wt=17): 8972 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(23(a,1),8958(a,2,2))]. given #7204 (H,wt=17): 8974 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(4885(a,1),8967(a,1,2,1))]. given #7205 (H,wt=17): 8975 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6487,a,8974,a)]. given #7206 (H,wt=18): 8812 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(8798(a,1),7492(a,1,1))]. given #7207 (H,wt=14): 8978 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8812(a,1),4346(a,1))]. given #7208 (H,wt=14): 8979 K(x,y * x) != z | K(x,x * y) = z. [para(85(a,1),8978(a,1,2))]. given #7209 (H,wt=14): 8982 K(x,K(y,x) * z) != u | K(x,z) = u. [para(7822(a,1),8978(a,1,2))]. given #7210 (H,wt=16): 8977 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(62,a,7402,a(flip),b,8812,a)]. given #7211 (H,wt=12): 8986 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(286,a,8798,a(flip),b,8977,a),flip(a)]. given #7212 (H,wt=16): 8980 K(x,y \ T(y * z,x)) != u | K(x,z) = u. [para(6126(a,2),8978(a,1,2))]. given #7213 (H,wt=17): 8983 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7086(a,2),8979(a,1))]. given #7214 (H,wt=18): 8826 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8822(a,1),3867(a,1,1))]. given #7215 (H,wt=16): 8989 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(62,a,7241,a(flip),b,8826,a)]. given #7216 (H,wt=12): 8990 K(R(x,K(y,z),u),z) = K(x,z). [hyper(286,a,8822,a(flip),b,8989,a),flip(a)]. given #7217 (H,wt=18): 8843 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8832(a,1),6820(a,1,1))]. given #7218 (H,wt=16): 8993 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(62,a,7083,a(flip),b,8843,a)]. given #7219 (H,wt=12): 8994 K(L(x,K(y,z),u),y) = K(x,y). [hyper(286,a,8832,a(flip),b,8993,a),flip(a)]. given #7220 (H,wt=18): 8879 K((x \ 1) \ y,x) != z | K((1 / x) \ y,x) = z. [para(3037(a,1),8851(a,1,1))]. given #7221 (H,wt=18): 8881 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(5170(a,1),8851(a,1,1))]. given #7222 (H,wt=18): 8882 K(((x \ 1) \ 1) * y,z) != u | K(x * y,z) = u. [para(5805(a,1),8851(a,1,1))]. given #7223 (H,wt=18): 8883 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(5806(a,1),8851(a,1,1))]. given #7224 (H,wt=18): 8885 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(5170(a,1),8870(a,1,2))]. given #7225 (H,wt=18): 8886 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(5805(a,1),8870(a,1,2))]. given #7226 (H,wt=18): 8887 K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. [para(5806(a,1),8870(a,1,2))]. given #7227 (H,wt=18): 8896 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8167(a,1),8878(a,1,1,1))]. given #7228 (H,wt=18): 8925 K(K(x,y) * z,K(x,u)) != w | K(x,K(z,u)) = w. [para(8905(a,2),8058(a,1))]. given #7229 (H,wt=18): 8933 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),8876(a,1,1,2))]. given #7230 (H,wt=18): 8943 x \ y != y / T(z,u) | T(y / (y / z),u) = x. [para(8940(a,1),47(a,1)),flip(a)]. given #7231 (H,wt=18): 8981 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(7112(a,1),8978(a,1,2))]. given #7232 (H,wt=18): 8988 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),8986(a,1,2))]. given #7233 (H,wt=18): 8992 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(31(a,1),8990(a,1,1))]. given #7234 (H,wt=18): 8998 K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. [para(76(a,1),8887(a,1,2,2,1))]. given #7235 (H,wt=18): 9000 K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. [para(7677(a,2),8981(a,1))]. given #7236 (H,wt=19): 8800 K(x \ y,z / (x \ y)) = K(x \ y,z / (y / x)). [para(7112(a,1),8792(a,1,2)),flip(a)]. given #7237 (H,wt=19): 8820 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8815(a,1),8047(a,1,2,2)),flip(a)]. given #7238 (H,wt=15): 9003 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(286,a,8047,a(flip),b,8820,a),flip(a)]. given #7239 (H,wt=15): 9005 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(62,a,8594,a(flip),b,9003,a)]. given #7240 (H,wt=15): 9007 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6892(a,1),9005(a,1,2))]. given #7241 (H,wt=18): 9004 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(8820(a,2),8048(a,1))]. given #7242 (H,wt=19): 8889 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5715(a,1),8873(a,1,2)),flip(a)]. given #7243 (H,wt=19): 8890 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5763(a,1),8873(a,1,2))]. given #7244 (H,wt=19): 8902 K(x,T((y \ 1) * z,u)) = K(x,T((1 / y) * z,u)). [para(5535(a,1),8797(a,1,2,1))]. given #7245 (H,wt=19): 8907 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(286,a,6017,a(flip),b,8868,a),flip(a)]. given #7246 (H,wt=15): 9010 K(x * y,1 / y) = K(y * x,1 / y). [para(4884(a,1),8907(a,1,1,1)),flip(a)]. given #7247 (H,wt=15): 9011 K((x \ y) * x,1 / x) = K(y,1 / x). [para(10(a,1),9010(a,2,1))]. given #7248 (H,wt=19): 8909 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(272(a,1),8871(a,1,2,2))]. given #7249 (H,wt=19): 8910 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [para(8871(a,1),7723(a,2,1))]. given #7250 (H,wt=19): 8917 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6567(a,1),8899(a,1,2,2)),flip(a)]. given #7251 (H,wt=19): 8929 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7093(a,1),8919(a,1,2,2)),flip(a)]. given #7252 (H,wt=19): 8930 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7277(a,1),8919(a,1,2,2)),flip(a)]. given #7253 (H,wt=19): 8932 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7723(a,1),8921(a,1,2))]. given #7254 (H,wt=19): 8935 K(x \ y,z * (y \ x)) = K(x \ y,z * (x / y)). [para(6696(a,1),8852(a,1,2)),flip(a)]. given #7255 (H,wt=19): 8936 K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). [para(6696(a,1),8856(a,1,1)),flip(a)]. given #7256 (H,wt=19): 8946 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(6037(a,1),8940(a,1,1,1))]. given #7257 (H,wt=19): 8952 T(x / y,K(z,u)) \ x = y * K(y \ x,K(z,u)). [para(8076(a,1),8948(a,2,2))]. given #7258 (H,wt=19): 8963 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(8962(a,1),7475(a,1,2))]. given #7259 (H,wt=19): 8964 K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). [para(6184(a,1),8863(a,1,1))]. given #7260 (H,wt=19): 8968 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(8966(a,2),6615(a,2,2))]. given #7261 (H,wt=19): 8970 K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)). [para(8950(a,1),7736(a,1,2)),flip(a)]. given #7262 (H,wt=19): 8976 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(8975(a,1),4856(a,1,2)),flip(a)]. given #7263 (H,wt=19): 8996 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8994(a,1,1))]. given #7264 (H,wt=15): 9017 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(286,a,8838,a(flip),b,8996,a),flip(a)]. given #7265 (H,wt=15): 9020 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7827(a,1),9017(a,1,1,1)),flip(a)]. given #7266 (H,wt=13): 9022 K(x \ K(y,z),z) = K(x,z \ 1). [hyper(6814,a,9020,a),flip(a)]. given #7267 (H,wt=16): 9024 K(x \ K(y,z),z) != u | K(x,z \ 1) = u. [para(9020(a,1),6814(a,1))]. given #7268 (H,wt=19): 8999 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(8925,a,8922,a(flip)),flip(a)]. given #7269 (H,wt=19): 9008 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),8889(a,1,2,1))]. given #7270 (H,wt=19): 9012 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(286,a,7723,a,b,8910,a),flip(a)]. given #7271 (H,wt=19): 9013 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(85(a,1),8930(a,1,2,2,1))]. given #7272 (H,wt=19): 9019 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7093(a,1),9017(a,1,1,1)),flip(a)]. given #7273 (H,wt=19): 9021 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8155(a,1),9017(a,1,1,1,2))]. given #7274 (H,wt=20): 9023 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(94(a,2),9020(a,1,1))]. given #7275 (H,wt=21): 7797 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(284(a,1),7777(a,1,1))]. given #7276 (H,wt=21): 7830 K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) / y). [para(191(a,1),7785(a,1,1)),flip(a)]. given #7277 (H,wt=21): 7839 K(x,R(T(x,y),z,u) \ w) = K(x,w / R(T(x,y),z,u)). [para(191(a,1),7794(a,1,1)),flip(a)]. given #7278 (H,wt=19): 9027 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(62,a,9008,a(flip),b,7839,a),flip(a)]. given #7279 (H,wt=21): 7875 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7869(a,1),433(a,1,2,1))]. given #7280 (H,wt=13): 9029 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7165,a,7875,a)]. given #7281 (H,wt=13): 9033 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(62,a,7241,a(flip),b,9029,a)]. given #7282 (H,wt=21): 7905 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7686(a,1),7762(a,1,2,1))]. given #7283 (H,wt=21): 7973 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(7964(a,2),7775(a,2,2))]. given #7284 (H,wt=19): 9036 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(286,a,4659,a,b,7973,a),flip(a)]. given #7285 (H,wt=15): 9037 T(x,T(1 / y,z)) = T(x,1 / T(y,z)). [hyper(8439,a,9036,a)]. given #7286 (H,wt=21): 8020 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(286,a,142,a(flip),b,7651,a),flip(a)]. given #7287 (H,wt=21): 8025 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(166(a,1),7792(a,2,2))]. given #7288 (H,wt=21): 8028 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6894(a,1),7823(a,1,2,1))]. given #7289 (H,wt=21): 8044 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(286,a,6239,a(flip),b,8032,a),flip(a)]. given #7290 (H,wt=17): 9039 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6239(a,1),8044(a,1,1)),flip(a)]. given #7291 (H,wt=21): 8045 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(62,a,7383,a,b,8032,a)]. given #7292 (H,wt=21): 8079 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6239(a,1),8059(a,1,1)),flip(a)]. given #7293 (H,wt=17): 9041 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6239(a,1),8079(a,1,2)),flip(a)]. given #7294 (H,wt=17): 9042 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(62,a,9039,a,b,9041,a)]. given #7295 (H,wt=17): 9043 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8056(a,1),9042(a,1,1))]. given #7296 (H,wt=21): 8089 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8060(a,2),6798(a,2,2))]. given #7297 (H,wt=21): 8188 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8155(a,1),7402(a,1,1))]. given #7298 (H,wt=17): 9046 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(8261,a,8188,a(flip)),flip(a)]. given #7299 (H,wt=17): 9048 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(10(a,1),9046(a,1,2)),flip(a)]. given #7300 (H,wt=17): 9049 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(62,a,7409,a,b,9048,a)]. given #7301 (H,wt=17): 9051 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5846(a,1),9049(a,1,2)),flip(a)]. given #7302 (H,wt=20): 9047 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8188(a,2),8261(a,1))]. given #7303 (H,wt=18): 9053 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(107(a,1),9047(a,1,2,1))]. given #7304 (H,wt=21): 8221 K((x * y) / x,T(z \ 1,u)) = K(y,T(T(z,u) \ 1,x)). [hyper(62,a,7968,a,b,8166,a)]. given #7305 (H,wt=19): 9054 K(x,T(T(y \ 1,z),u)) = K(x,T(T(y,z) \ 1,u)). [hyper(8172,a,8221,a)]. given #7306 (H,wt=21): 8227 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(769(a,1),8170(a,1,2)),flip(a)]. given #7307 (H,wt=21): 8230 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(62,a,4830,a,b,8178,a)]. given #7308 (H,wt=21): 8236 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8216(a,1),7357(a,1,2))]. given #7309 (H,wt=21): 8239 (x / y) * K(z,(x / y) \ x) = K(z,T(y,x)) * (x / y). [para(8216(a,1),7770(a,1,1)),flip(a)]. given #7310 (H,wt=17): 9057 K(x,T(y,z)) * (z / y) = (z / y) * K(x,y). [para(76(a,1),8239(a,1,2,2)),flip(a)]. given #7311 (H,wt=15): 9058 K(x,T(y,z)) * (z / y) = z / T(y,x). [hyper(286,a,6605,a(flip),b,9057,a),flip(a)]. given #7312 (H,wt=17): 9059 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(2786(a,1),9058(a,1,1,2))]. given #7313 (H,wt=19): 9060 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4645,a,9059,a)]. given #7314 (H,wt=21): 8302 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8171(a,1),4618(a,2,2))]. given #7315 (H,wt=17): 9062 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8155(a,1),8302(a,1,1)),flip(a)]. given #7316 (H,wt=21): 8362 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(62,a,5899,a,b,7913,a)]. given #7317 (H,wt=21): 8365 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(7894(a,1),8027(a,1,1,1)),flip(a)]. given #7318 (H,wt=21): 8369 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(6230,a,8106,a)]. given #7319 (H,wt=21): 8402 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(62,a,6205,a(flip),b,8380,a)]. given #7320 (H,wt=21): 8445 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4053(a,1),8167(a,1,1,1)),flip(a)]. given #7321 (H,wt=21): 8446 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(7140,a,8168,a)]. given #7322 (H,wt=17): 9066 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8155(a,1),8446(a,1,1)),flip(a)]. given #7323 (H,wt=15): 9067 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(174(a,1),9066(a,1,1,2)),flip(a)]. given #7324 (H,wt=14): 9070 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6981,a,9067,a),flip(a)]. given #7325 (H,wt=15): 9068 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(240(a,1),9066(a,1,1,2))]. given #7326 (H,wt=21): 8449 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(62,a,8359,a(flip),b,8175,a),flip(a)]. given #7327 (H,wt=17): 9073 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(62,a,7556,a(flip),b,8449,a),flip(a)]. given #7328 (H,wt=21): 8461 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8285(a,1),7777(a,1,1)),flip(a)]. given #7329 (H,wt=21): 8466 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5896(a,1),8315(a,1,2,1))]. given #7330 (H,wt=21): 8485 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8032(a,1),8453(a,2,1))]. given #7331 (H,wt=21): 8560 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,x)). [hyper(286,a,8094,a,b,8559,a),flip(a)]. given #7332 (H,wt=20): 9076 T(x / T(y,z),y) / (y \ x) != u | K(z,T(y,x)) = u. [para(8560(a,2),8275(a,1))]. given #7333 (H,wt=21): 8577 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7916(a,1),5745(a,1,2))]. given #7334 (H,wt=21): 8597 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,7967,a(flip),b,8328,a)]. given #7335 (H,wt=21): 8646 (T(x,y) \ 1) * T(z,T(x \ 1,y)) = z * (T(x,y) \ 1). [para(8643(a,2),108(a,1,2))]. given #7336 (H,wt=21): 8704 L(K(x,K(y,y * z)),u,w) = K(x,K(z * x,L(y,u,w))). [para(8685(a,1),8600(a,1,1))]. given #7337 (H,wt=21): 8716 T(x \ y,z) * K(z,y / x) = (x \ y) * K(z,K(x,y)). [para(8683(a,1),5745(a,1,2))]. given #7338 (H,wt=21): 8719 K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,(z \ 1) / y). [para(8377(a,1),8683(a,1,2))]. given #7339 (H,wt=21): 8741 L(1 / x,y,z) \ (1 / x) = (L(1 / x,y,z) \ 1) / x. [hyper(327,a,8740,a),flip(a)]. given #7340 (H,wt=21): 8771 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(8758(a,1),8158(a,1,2))]. given #7341 (H,wt=21): 8778 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8762(a,1),8177(a,1,1))]. given #7342 (H,wt=21): 8787 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8770(a,1),8165(a,1,2))]. given #7343 (H,wt=17): 9081 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(62,a,9021,a(flip),b,8787,a)]. given #7344 (H,wt=15): 9082 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8250,a,9081,a),flip(a)]. given #7345 (H,wt=19): 9084 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7277(a,1),9082(a,1,1,2)),flip(a)]. given #7346 (H,wt=19): 9085 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7763(a,1),9084(a,1,1,2,1)),flip(a)]. given #7347 (H,wt=19): 9086 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7822(a,1),9084(a,1,1,2,1))]. given #7348 (H,wt=21): 8854 K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). [para(7694(a,1),8824(a,1,1,2))]. given #7349 (H,wt=21): 8897 K(x,y / (R(x,z,u) \ w)) = K(x,y / (w / R(x,z,u))). [para(7112(a,1),8892(a,1,2)),flip(a)]. given #7350 (H,wt=21): 8934 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). [para(110(a,1),8891(a,1,2,2))]. given #7351 (H,wt=21): 8997 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(7077(a,2),8881(a,1))]. given #7352 (H,wt=21): 9002 x * K(y \ z,x / (z / y)) = (y \ z) * (x / (y \ z)). [para(8800(a,1),272(a,1,2))]. given #7353 (H,wt=21): 9025 K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). [para(6861(a,1),9012(a,1,2,1,2)),flip(a)]. given #7354 (H,wt=21): 9030 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4605(a,1),7875(a,1,1)),flip(a)]. given #7355 (H,wt=21): 9032 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(62,a,7416,a(flip),b,9029,a)]. given #7356 (H,wt=21): 9034 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9033(a,1),4667(a,2,1)),flip(a)]. given #7357 (H,wt=21): 9038 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8115(a,1),8020(a,1,2))]. given #7358 (H,wt=19): 9091 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8707(a,1),9038(a,1,2))]. given #7359 (H,wt=21): 9040 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8032(a,1),8045(a,1,1))]. given #7360 (H,wt=19): 9094 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(286,a,8377,a(flip),b,9040,a),flip(a)]. given #7361 (H,wt=17): 9096 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8371(a,1),9094(a,1,1))]. given #7362 (H,wt=17): 9097 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8377(a,1),9094(a,1,1))]. given #7363 (H,wt=17): 9098 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(62,a,9042,a(flip),b,9096,a)]. given #7364 (H,wt=17): 9099 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(62,a,9096,a(flip),b,9097,a)]. given #7365 (H,wt=17): 9100 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(62,a,9043,a(flip),b,9097,a)]. given #7366 (H,wt=14): 9105 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3867(a,1),9100(a,1,2)),flip(a)]. given #7367 (H,wt=17): 9104 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(286,a,8056,a,b,9099,a)]. given #7368 (H,wt=19): 9102 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9097(a,2),4659(a,2,2)),flip(a)]. given #7369 (H,wt=21): 9052 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(6567(a,1),9051(a,1,2)),flip(a)]. given #7370 (H,wt=21): 9055 K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). [para(110(a,1),9054(a,2,2,1,1))]. given #7371 (H,wt=21): 9056 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4636(a,1),8230(a,1,1,1,2))]. given #7372 (H,wt=21): 9061 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(9060(a,1),3169(a,1,2)),flip(a)]. given #7373 (H,wt=21): 9071 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4643(a,1),9067(a,1,2))]. given #7374 (H,wt=21): 9072 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8155(a,1),9067(a,1,1))]. given #7375 (H,wt=17): 9109 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(286,a,8168,a(flip),b,9072,a),flip(a)]. given #7376 (H,wt=17): 9112 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(10(a,1),9109(a,1,2)),flip(a)]. given #7377 (H,wt=14): 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(286,a,338,a(flip),b,9112,a),flip(a)]. given #7378 (H,wt=12): 9117 L(K(x,y),K(z,x),u) = K(x,y). [hyper(62,a,7085,a(flip),b,9113,a)]. given #7379 (H,wt=10): 9119 a(x,K(y,z),K(z,u)) = 1. [hyper(52,a,9117,a)]. given #7380 (H,wt=10): 9123 a(x,K(y,z),K(u,y)) = 1. [hyper(7446,a,9119,a)]. given #7381 (H,wt=12): 9124 L(K(x,y),K(y,z),u) = K(x,y). [hyper(51,a,9123,a)]. given #7382 (H,wt=16): 9126 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8155(a,1),9124(a,1,2))]. given #7383 (H,wt=17): 9114 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(62,a,9071,a,b,9112,a)]. given #7384 (H,wt=17): 9115 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9112(a,2),339(a,1)),flip(b)]. given #7385 (H,wt=17): 9129 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(7844(a,1),9114(a,1,2))]. given #7386 (H,wt=18): 9116 K(T(x,y),T(z,y)) = K(L(x,T(x,u) \ 1,w),z). [hyper(286,a,8155,a,b,9113,a)]. given #7387 (H,wt=18): 9130 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(62,a,6898,a(flip),b,9129,a)]. given #7388 (H,wt=12): 9134 L(K(x,y),z,y \ 1) = K(x,y). [hyper(62,a,8552,a(flip),b,9130,a),flip(a)]. given #7389 (H,wt=12): 9138 K(L(x,y,z \ 1),z) = K(x,z). [hyper(62,a,9109,a(flip),b,9134,a)]. given #7390 (H,wt=18): 9133 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(131,a,9130,a)]. given #7391 (H,wt=15): 9143 K(x * (y * K(z,u)),z) = K(x * y,z). [para(9133(a,1),8827(a,1,1)),flip(a)]. given #7392 (H,wt=15): 9146 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7736(a,1),9143(a,1,1,2))]. given #7393 (H,wt=17): 9144 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6605(a,1),9143(a,1,1,2))]. given #7394 (H,wt=19): 9120 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9117(a,1),92(a,1,2))]. given #7395 (H,wt=10): 9151 R(x,K(y,z),K(z,u)) = x. [hyper(471,a,9120,a)]. given #7396 (H,wt=10): 9154 R(x,K(y,z),K(u,y)) = x. [hyper(62,a,7345,a,b,9151,a)]. given #7397 (H,wt=12): 9155 R(x,T(K(y,z),u),K(z,w)) = x. [para(1974(a,1),9151(a,1,2))]. given #7398 (H,wt=13): 9157 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6249(a,1),9151(a,1,2))]. given #7399 (H,wt=13): 9160 R(x,K(y,z),K(u,y)) != w | x = w. [para(9154(a,1),50(a,2))]. given #7400 (H,wt=14): 9162 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6771(a,1),9155(a,1,3))]. given #7401 (H,wt=17): 9158 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9151(a,1),6831(a,1,1))]. given #7402 (H,wt=16): 9165 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(62,a,3972,a(flip),b,9158,a),flip(a)]. given #7403 (H,wt=15): 9170 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(62,a,6088,a,b,9165,a)]. given #7404 (H,wt=15): 9173 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(9(a,1),9170(a,1,2,2)),flip(a)]. given #7405 (H,wt=13): 9174 x \ R(x,T(y,x),x) = a(x,y,x). [para(204(a,1),9173(a,1,2)),flip(a)]. given #7406 (H,wt=11): 9175 x \ R(x,y,x) = a(x,y,x). [para(4196(a,1),9174(a,1,2))]. given #7407 (H,wt=11): 9179 x * a(x,y,x) = R(x,y,x). [hyper(131,a,9175,a)]. given #7408 (H,wt=11): 9185 a(x,y,x) * x = R(x,y,x). [para(9175(a,1),3563(a,1,1))]. given #7409 (H,wt=14): 9176 K(x,y) * K(y * x,x) = a(x,y,x). [hyper(7021,a,9175,a)]. given #7410 (H,wt=14): 9177 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(6082,a,9175,a)]. given #7411 (H,wt=14): 9178 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(6066,a,9175,a)]. given #7412 (H,wt=14): 9183 a(x,y,x) != x \ z | R(x,y,x) = z. [para(9175(a,1),46(a,1))]. given #7413 (H,wt=14): 9184 x * a(x,y,x) != z | R(x,y,x) = z. [para(9175(a,1),232(a,1,2)),flip(b)]. given #7414 (H,wt=14): 9186 T(x * y,x) / x = y * a(x,y,x). [para(9175(a,1),6652(a,1,2)),flip(a)]. given #7415 (H,wt=14): 9187 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9175(a,1),6918(a,1,1))]. given #7416 (H,wt=14): 9189 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9179(a,1),301(a,1,2)),flip(b)]. given #7417 (H,wt=14): 9190 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(5851,a,9176,a)]. given #7418 (H,wt=14): 9191 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6899,a,9177,a)]. given #7419 (H,wt=14): 9192 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5851,a,9177,a)]. given #7420 (H,wt=14): 9193 K(x,y) * a(y,x,y) = K(y * x,y). [para(9177(a,1),5868(a,1,2))]. given #7421 (H,wt=14): 9195 a(x,y,x) * K(x,x * y) = K(x,y). [para(9177(a,1),6897(a,1,1))]. given #7422 (H,wt=14): 9199 a(x,y,x) * (y * x) = T(x * y,x). [para(9178(a,1),7185(a,1,1))]. given #7423 (H,wt=14): 9200 (x * y) * a(y,x,y) = T(y * x,y). [para(9178(a,1),7187(a,1,2))]. given #7424 (H,wt=14): 9207 a(x,y,x) \ K(y * x,x) = K(y,x). [para(7011(a,2),9187(a,1,2))]. given #7425 (H,wt=14): 9209 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(286,a,7011,a,b,9191,a),flip(a)]. given #7426 (H,wt=15): 9180 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(62,a,7918,a,b,9175,a)]. given #7427 (H,wt=15): 9216 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9180(a,1),3563(a,1,1))]. given #7428 (H,wt=16): 9171 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9165(a,1),6895(a,1,1))]. given #7429 (H,wt=16): 9172 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9165(a,1),6897(a,1,1))]. given #7430 (H,wt=16): 9182 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(62,a,6088,a(flip),b,9175,a)]. given #7431 (H,wt=16): 9196 K(x,x \ y) * K(y,x) = a(x,x \ y,x). [para(10(a,1),9178(a,1,2,1))]. given #7432 (H,wt=16): 9202 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(10(a,1),9186(a,1,1,1)),flip(a)]. given #7433 (H,wt=16): 9203 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9186(a,1),110(a,1,1))]. given #7434 (H,wt=16): 9211 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10(a,1),9192(a,1,1,2))]. given #7435 (H,wt=16): 9214 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(10(a,1),9195(a,1,2,2))]. given #7436 (H,wt=17): 9194 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(9177(a,1),6909(a,1,1))]. given #7437 (H,wt=17): 9197 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(9178(a,1),5852(a,1,2)),flip(b)]. given #7438 (H,wt=17): 9198 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9178(a,1),6902(a,1,1))]. given #7439 (H,wt=17): 9208 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5942(a,2),9189(a,1))]. given #7440 (H,wt=19): 9125 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9124(a,1),92(a,1,2))]. given #7441 (H,wt=19): 9150 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6899,a,9120,a)]. given #7442 (H,wt=19): 9153 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2093(a,2),9120(a,2,2))]. given #7443 (H,wt=19): 9161 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9154(a,1),7281(a,1,1))]. given #7444 (H,wt=19): 9218 K(x,y) * a(x,x \ y,x) != z | K(x,x \ y) = z. [para(9182(a,1),5852(a,1,2)),flip(b)]. given #7445 (H,wt=19): 9220 K(x,x \ y) * K(y,x) != z | a(x,x \ y,x) = z. [para(9214(a,1),6909(a,1,1))]. given #7446 (H,wt=19): 9222 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2093(a,2),9150(a,1,1,2))]. given #7447 (H,wt=19): 9227 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(34,a,9150,a,b,9222,a(flip))]. given #7448 (H,wt=19): 9230 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(127,a,9227,a)]. given #7449 (H,wt=19): 9231 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(121,a,9227,a)]. given #7450 (H,wt=19): 9233 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(286,a,2093,a,b,9231,a),flip(a)]. given #7451 (H,wt=20): 9110 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9072(a,2),8253(a,1))]. given #7452 (H,wt=13): 9235 K(x,y) != z | K(L(x,u,x),y) = z. [para(7649(a,1),9110(a,1))]. given #7453 (H,wt=20): 9135 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(10(a,1),9130(a,1,2))]. given #7454 (H,wt=20): 9142 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7822(a,1),9133(a,1,1,2))]. given #7455 (H,wt=20): 9145 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7104(a,1),9143(a,1,1,2))]. given #7456 (H,wt=20): 9152 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(62,a,7170,a(flip),b,9120,a),flip(a)]. given #7457 (H,wt=16): 9241 K(x,y) * K(y,y * x) = R(y,x,y) \ y. [hyper(114,a,9152,a,b,3590,a(flip))]. given #7458 (H,wt=17): 9243 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(6079(a,1),9152(a,1,2)),flip(a)]. given #7459 (H,wt=20): 9168 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9158(a,2),2098(a,1))]. given #7460 (H,wt=20): 9236 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [hyper(6951,a,9135,a),flip(a)]. given #7461 (H,wt=15): 9244 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7857,a,9236,a),flip(a)]. given #7462 (H,wt=15): 9252 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(62,a,7058,a,b,9244,a)]. given #7463 (H,wt=15): 9254 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(10(a,1),9244(a,1,2,1)),flip(a)]. given #7464 (H,wt=15): 9261 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(9(a,1),9254(a,1,2,2))]. given #7465 (H,wt=13): 9262 K(x,(x \ 1) \ y) = K(x,x * y). [para(64(a,1),9261(a,2,2))]. given #7466 (H,wt=18): 9249 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(9236(a,1),7857(a,1))]. given #7467 (H,wt=18): 9258 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(18(a,2),9252(a,1,2)),flip(a)]. given #7468 (H,wt=18): 9259 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(94(a,2),9252(a,1,2))]. given #7469 (H,wt=19): 9245 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [hyper(6854,a,9236,a),flip(a)]. given #7470 (H,wt=19): 9253 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(62,a,6642,a,b,9244,a)]. given #7471 (H,wt=17): 9266 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(38,a,4781,a,b,9253,a),flip(a)]. given #7472 (H,wt=19): 9256 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9244(a,1),6716(a,2,2))]. given #7473 (H,wt=17): 9270 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(114,a,9256,a(flip),b,4495,a(flip)),flip(a)]. given #7474 (H,wt=17): 9272 x \ K(y,x \ (y \ 1)) = y * ((x \ 1) / y). [hyper(121,a,9270,a)]. given #7475 (H,wt=19): 9269 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(62,a,4495,a(flip),b,9256,a),flip(a)]. given #7476 (H,wt=20): 9240 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(62,a,8854,a,b,9145,a)]. given #7477 (H,wt=14): 9275 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(286,a,8867,a(flip),b,9240,a),flip(a)]. given #7478 (H,wt=14): 9276 K(R(x,y,x) * z,x) = K(x * z,x). [para(9(a,1),9275(a,1,1,2)),flip(a)]. given #7479 (H,wt=14): 9277 K(x * R(y,z,y),y) = K(y * x,y). [hyper(62,a,8894,a(flip),b,9276,a)]. given #7480 (H,wt=18): 9278 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9277(a,1),4694(a,2,2,2))]. given #7481 (H,wt=14): 9279 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(286,a,4694,a,b,9278,a),flip(a)]. given #7482 (H,wt=16): 9280 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(286,a,4659,a(flip),b,9279,a),flip(a)]. given #7483 (H,wt=14): 9281 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4727,a,9280,a)]. given #7484 (H,wt=14): 9282 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(62,a,8888,a,b,9281,a)]. given #7485 (H,wt=17): 9283 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7862,a,9282,a)]. given #7486 (H,wt=20): 9246 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(76(a,1),9236(a,1,1,2)),flip(a)]. given #7487 (H,wt=20): 9257 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(62,a,9236,a,b,9252,a)]. given #7488 (H,wt=20): 9260 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(210(a,1),9252(a,1,2)),flip(a)]. given #7489 (H,wt=18): 9284 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(286,a,4787,a(flip),b,9260,a),flip(a)]. given #7490 (H,wt=20): 9271 (x * ((1 / y) / x)) * y != z | K(x,y \ (x \ 1)) = z. [para(9256(a,2),117(a,1)),flip(b)]. given #7491 (H,wt=21): 9078 K(x,K(y * z,L(y,u,w))) = K(x,K(z * x,L(y,u,w))). [hyper(8743,a,8704,a)]. given #7492 (H,wt=19): 9286 K(x,K(y * z,L(y,u,w))) = K(x,K(z,L(y,u,w))). [hyper(286,a,8700,a(flip),b,9078,a),flip(a)]. given #7493 (H,wt=21): 9079 T((x \ y) * K(z,y / x),z) = (x \ y) * K(z,K(x,y)). [hyper(7615,a,8716,a)]. given #7494 (H,wt=21): 9080 K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,z \ (y \ 1)). [hyper(286,a,6432,a,b,8719,a),flip(a)]. given #7495 (H,wt=21): 9088 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1836(a,2),9030(a,1,2))]. given #7496 (H,wt=21): 9089 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(286,a,8897,a,b,9032,a),flip(a)]. given #7497 (H,wt=21): 9090 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(286,a,27,a,b,9034,a),flip(a)]. given #7498 (H,wt=21): 9107 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(129,a,9056,a)]. given #7499 (H,wt=21): 9141 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(9133(a,1),301(a,1,2)),flip(b)]. given #7500 (H,wt=21): 9188 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9175(a,1),7810(a,1,2)),flip(a)]. given #7501 (H,wt=21): 9225 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7736(a,1),9161(a,1,1))]. given #7502 (H,wt=21): 9242 (1 / R(x,y,x)) * x != z | K(y,x) * K(x,x * y) = z. [para(9152(a,1),117(a,1)),flip(b)]. given #7503 (H,wt=21): 9255 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(4856(a,1),9244(a,1,2,1)),flip(a)]. given #7504 (H,wt=21): 9267 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(11(a,1),9253(a,1,1,1,1,2))]. given #7505 (H,wt=21): 9285 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(9260(a,2),4873(a,1))]. given #7506 (H,wt=21): 9287 T((x \ y) * K(z,y / x),z) = (x \ y) * K(x,K(y,z)). [para(8060(a,2),9079(a,2,2))]. given #7507 (H,wt=21): 9290 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9107(a,1),5844(a,1,2))]. given #7508 (H,wt=21): 9292 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(286,a,7788,a(flip),b,9225,a),flip(a)]. given #7509 (H,wt=21): 9293 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5839(a,1),9255(a,1,2))]. given #7510 (H,wt=22): 7614 x \ (y * T(x,z)) != K(x,z) * u | T(T(y,x),K(x,z)) = u. [para(7610(a,2),217(a,2)),flip(a)]. given #7511 (H,wt=22): 7646 x \ (y * K(x,z)) != K(x,z) * u | T(x \ y,K(x,z)) = u. [para(7643(a,2),217(a,2)),flip(a)]. given #7512 (H,wt=22): 7740 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7723(a,2),578(a,1,2,2))]. given #7513 (H,wt=22): 7812 T(x,y) * K(x,T(z,y)) != u * w | u \ T(T(x,y),z) = w. [para(7777(a,1),4664(a,1,2))]. given #7514 (H,wt=22): 7814 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7777(a,1),5948(a,2,1))]. given #7515 (H,wt=18): 9299 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(3746(a,1),7814(a,2,1))]. given #7516 (H,wt=20): 9300 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(9299(a,1),4644(a,1,2))]. given #7517 (H,wt=22): 7987 x * K(y,L(T(z,x),u,w)) != v5 * x | K(y,L(z,u,w)) = v5. [para(25(a,2),7737(a,1,2,2))]. given #7518 (H,wt=22): 8026 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1842(a,1),7792(a,1,1)),flip(a)]. given #7519 (H,wt=22): 8053 (x * K(y,z)) * K(y,K(z,u)) != w | x * T(K(y,z),u) = w. [para(8032(a,1),6868(a,1,2))]. given #7520 (H,wt=22): 8162 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8144(a,1),587(a,1,2,1)),flip(a)]. given #7521 (H,wt=22): 8213 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7142,a,8158,a)]. given #7522 (H,wt=22): 8219 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(447(a,2),8165(a,1,1))]. given #7523 (H,wt=22): 8222 ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,z) = u. [para(8166(a,1),4663(a,1,2))]. given #7524 (H,wt=17): 9304 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(8222,a,6013,a),flip(a)]. given #7525 (H,wt=17): 9305 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5851,a,9304,a)]. given #7526 (H,wt=17): 9306 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4636(a,1),9305(a,1,2,1))]. given #7527 (H,wt=22): 8225 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),8169(a,1,2,1)),flip(a)]. given #7528 (H,wt=22): 8264 K(L(x \ y,z,u),T(w,x)) != v5 | K(L(y / x,z,u),w) = v5. [para(224(a,1),8249(a,1,1))]. given #7529 (H,wt=22): 8340 K(x,L(T(y,z),u,w)) * z != v5 | z * K(x,L(y,u,w)) = v5. [para(25(a,2),8210(a,1,1,2))]. given #7530 (H,wt=22): 8343 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4476(a,1),8246(a,1,2))]. given #7531 (H,wt=22): 8437 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w \ K(u,z))) = v5. [para(6730(a,1),8384(a,1,2))]. given #7532 (H,wt=22): 8447 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1622(a,1),8168(a,1,1))]. given #7533 (H,wt=22): 8450 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1622(a,1),8176(a,1,2))]. given #7534 (H,wt=22): 8481 K(x,T(y,z / (u \ 1))) != w | K(x,T(y,u \ (z \ 1))) = w. [para(6410(a,1),8478(a,1,2,2))]. given #7535 (H,wt=22): 8501 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8090(a,2),8048(a,1,2))]. given #7536 (H,wt=22): 8513 T((x \ y) * K(z,y / x),z) != u | T(x \ y,K(z,y)) = u. [para(8159(a,1),8470(a,1,1,2))]. given #7537 (H,wt=22): 8533 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),8527(a,1,2)),flip(a)]. given #7538 (H,wt=21): 9310 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(588(a,1),8533(a,1,2))]. given #7539 (H,wt=10): 9311 K(x,a(K(x,y),z,u)) = 1. [hyper(62,a,6776,a(flip),b,9310,a),flip(a)]. given #7540 (H,wt=10): 9313 T(x,a(K(x,y),z,u)) = x. [hyper(55,a,9311,a)]. given #7541 (H,wt=15): 9314 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(53,a,9313,a)]. given #7542 (H,wt=17): 9315 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9313(a,1),108(a,1,2))]. given #7543 (H,wt=21): 9316 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9313(a,1),7822(a,1,2,1)),flip(a)]. given #7544 (H,wt=21): 9317 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9314(a,1),7822(a,1,2,1)),flip(a)]. given #7545 (H,wt=22): 8553 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) != u | K(z,x) = u. [para(7685(a,1),6902(a,1,1))]. given #7546 (H,wt=22): 8556 K(x,L(y,z,u)) * w != w * v5 | K(x,L(T(y,w),z,u)) = v5. [para(7767(a,1),42(a,1))]. given #7547 (H,wt=22): 8582 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(7944(a,2),8514(a,1))]. given #7548 (H,wt=22): 8602 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8600(a,1),92(a,1,2))]. given #7549 (H,wt=22): 8619 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(7795(a,1),8615(a,1,2,1,2))]. given #7550 (H,wt=17): 9321 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(8619,a,8778,a)]. given #7551 (H,wt=15): 9323 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(8262,a,9321,a),flip(a)]. given #7552 (H,wt=15): 9324 K(x,y / (z * x)) = K(x,y / (x * z)). [para(85(a,1),9323(a,1,2,2))]. given #7553 (H,wt=15): 9326 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6883(a,1),9323(a,1,2,2)),flip(a)]. given #7554 (H,wt=17): 9325 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1271(a,1),9323(a,1,2,2))]. given #7555 (H,wt=18): 9328 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(105(a,2),9324(a,2,2)),flip(a)]. given #7556 (H,wt=18): 9330 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(62,a,4790,a,b,9328,a)]. given #7557 (H,wt=19): 9329 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7277(a,1),9326(a,1,2,2)),flip(a)]. given #7558 (H,wt=19): 9331 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(85(a,1),9329(a,1,2,2,1))]. given #7559 (H,wt=19): 9332 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(271(a,1),9329(a,1,2,2,1))]. given #7560 (H,wt=19): 9333 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7763(a,1),9329(a,1,2,2,1)),flip(a)]. given #7561 (H,wt=19): 9334 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7822(a,1),9329(a,1,2,2,1))]. given #7562 (H,wt=22): 8699 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(8691(a,1),8269(a,1,2))]. given #7563 (H,wt=22): 8751 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(8749(a,1),301(a,1,2)),flip(b)]. given #7564 (H,wt=22): 8773 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8762(a,1),4660(a,1,2,1)),flip(a)]. given #7565 (H,wt=17): 9337 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(286,a,4660,a(flip),b,8773,a),flip(a)]. given #7566 (H,wt=17): 9338 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7822(a,1),9337(a,1,2))]. given #7567 (H,wt=20): 9339 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6249(a,1),9338(a,1,2,1))]. given #7568 (H,wt=22): 8789 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(8756(a,1),836(a,1,1)),flip(a)]. given #7569 (H,wt=22): 8802 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8792(a,1),7020(a,1,1)),flip(a)]. given #7570 (H,wt=20): 9342 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8830(a,1),8802(a,2,2))]. given #7571 (H,wt=17): 9343 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(286,a,7015,a(flip),b,9342,a),flip(a)]. given #7572 (H,wt=15): 9345 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9189,a,9343,a)]. given #7573 (H,wt=13): 9346 a(x,y * K(x,z),x) = a(x,y,x). [hyper(286,a,9175,a(flip),b,9345,a),flip(a)]. given #7574 (H,wt=16): 9347 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9345(a,2),9189(a,1))]. given #7575 (H,wt=22): 8806 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(323(a,1),8798(a,1,2))]. given #7576 (H,wt=22): 8858 (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. [para(8839(a,1),4663(a,1,2))]. given #7577 (H,wt=22): 8985 K(x,((1 / y) * z) \ u) != w | K(x,((y \ 1) * z) \ u) = w. [para(5645(a,1),8982(a,1,2))]. given #7578 (H,wt=22): 9015 K(x,T(y / z,u)) * y != y * w | K(x,T(z \ y,u)) = w. [para(8970(a,2),42(a,1))]. given #7579 (H,wt=22): 9026 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [para(4913(a,1),9019(a,2,1,1))]. given #7580 (H,wt=22): 9044 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(9043(a,2),4663(a,1,2))]. given #7581 (H,wt=17): 9348 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(9044,a,9102,a)]. given #7582 (H,wt=22): 9092 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(9091(a,2),42(a,1))]. given #7583 (H,wt=22): 9101 (K(x,K(y,z)) * u) \ K(x,K(y,R(z,u,u \ 1))) = u \ 1. [hyper(115,a,9097,a(flip),b,458,a)]. given #7584 (H,wt=22): 9132 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [hyper(286,a,6246,a(flip),b,9130,a),flip(a)]. given #7585 (H,wt=20): 9350 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(9132(a,1),9141(a,1))]. given #7586 (H,wt=22): 9181 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(62,a,7326,a,b,9175,a)]. given #7587 (H,wt=22): 9228 (x * (K(y,z) * K(u,y))) * K(z,y) != w * K(u,y) | x = w. [para(9222(a,2),43(a,1))]. given #7588 (H,wt=22): 9229 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(9222(a,1),6909(a,1,1))]. given #7589 (H,wt=22): 9232 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9227(a,1),227(a,1,1)),flip(b)]. given #7590 (H,wt=22): 9274 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(9269(a,1),42(a,1))]. given #7591 (H,wt=22): 9301 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(286,a,7777,a(flip),b,8026,a),flip(a)]. given #7592 (H,wt=16): 9352 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(62,a,9033,a(flip),b,9301,a)]. given #7593 (H,wt=13): 9355 K(x,T(y,z * x)) = K(x,T(y,z)). [para(347(a,1),9352(a,1,2,2,2))]. given #7594 (H,wt=13): 9359 K(x,T(y,z / x)) = K(x,T(y,z)). [para(12(a,1),9355(a,1,2,2)),flip(a)]. given #7595 (H,wt=15): 9363 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4137(a,1),9359(a,1,2))]. given #7596 (H,wt=13): 9364 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(8478,a,9363,a),flip(a)]. given #7597 (H,wt=13): 9365 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(8482,a,9364,a)]. given #7598 (H,wt=13): 9367 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,9365,a),flip(a)]. given #7599 (H,wt=13): 9368 K(x,T(y,x * z)) = K(x,T(y,z)). [para(9(a,1),9365(a,1,2,2)),flip(a)]. given #7600 (H,wt=13): 9375 T(K(x,y),x * z) = K(x,T(y,z)). [para(9(a,1),9367(a,1,2,2)),flip(a)]. given #7601 (H,wt=13): 9377 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(286,a,7777,a,b,9368,a),flip(a)]. given #7602 (H,wt=15): 9366 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(9(a,1),9364(a,1,2,2))]. given #7603 (H,wt=15): 9371 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(9365(a,1),4659(a,2,2))]. given #7604 (H,wt=13): 9383 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(286,a,4659,a,b,9371,a),flip(a)]. given #7605 (H,wt=11): 9386 T(x,T(y,x \ y)) = T(x,y). [para(107(a,1),9383(a,2,2))]. given #7606 (H,wt=13): 9385 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(62,a,8791,a(flip),b,9383,a)]. given #7607 (H,wt=13): 9389 T(x,T(x * y,y)) = T(x,x * y). [para(9(a,1),9386(a,1,2,2))]. given #7608 (H,wt=15): 9379 (x * y) \ (T(x,z) * y) = K(x,T(z,y)). [hyper(62,a,5761,a,b,9375,a)]. given #7609 (H,wt=15): 9391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(73(a,1),9385(a,1,2,2)),flip(a)]. given #7610 (H,wt=16): 9354 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),9352(a,1,2,2)),flip(a)]. given #7611 (H,wt=16): 9358 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(286,a,7662,a,b,9355,a)]. given #7612 (H,wt=16): 9376 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(9367(a,2),7980(a,1))]. given #7613 (H,wt=16): 9380 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(9377(a,2),7981(a,1))]. given #7614 (H,wt=16): 9384 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(9371(a,2),4663(a,1))]. given #7615 (H,wt=16): 9394 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(62,a,8934,a,b,9354,a)]. given #7616 (H,wt=16): 9395 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(8223,a,9358,a)]. given #7617 (H,wt=16): 9396 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(9358(a,1),7860(a,1))]. given #7618 (H,wt=16): 9398 K(x,x * y) != z | K(x,T(x * y,y)) = z. [para(107(a,1),9380(a,1,2))]. given #7619 (H,wt=16): 9399 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(8791(a,1),9384(a,1))]. given #7620 (H,wt=16): 9401 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),9394(a,1,2,2)),flip(a)]. given #7621 (H,wt=16): 9403 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(286,a,8451,a,b,9395,a),flip(a)]. given #7622 (H,wt=13): 9407 K(T(x * y,y) / x,z) = K(y,z). [hyper(9115,a,9403,a),flip(a)]. given #7623 (H,wt=13): 9410 K(T(x,y) / (x / y),z) = K(y,z). [para(12(a,1),9407(a,1,1,1,1))]. given #7624 (H,wt=15): 9409 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(10(a,1),9407(a,1,1,1,1))]. given #7625 (H,wt=17): 9356 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(8971,a,9355,a),flip(a)]. given #7626 (H,wt=17): 9357 K(x,T((y * x) \ z,y)) = K(x,z / (y * x)). [hyper(8246,a,9355,a),flip(a)]. given #7627 (H,wt=17): 9361 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(9355(a,1),7736(a,1,2))]. given #7628 (H,wt=15): 9411 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6868,a,9361,a),flip(a)]. given #7629 (H,wt=15): 9412 x \ (K(y,z) * (x * y)) = T(y,T(z,x)). [hyper(115,a,9361,a(flip),b,6811,a(flip))]. given #7630 (H,wt=15): 9415 x \ (T(y,z) * T(x,y)) = T(y,T(z,x)). [hyper(6006,a,9411,a)]. given #7631 (H,wt=15): 9416 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8317(a,1),9411(a,2,2))]. given #7632 (H,wt=15): 9417 T(T(x,y) * K(z,x),z) = T(x,T(y,z)). [hyper(6888,a,9415,a)]. given #7633 (H,wt=15): 9418 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(116,a,9416,a(flip),b,5717,a(flip))]. given #7634 (H,wt=15): 9419 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7723(a,1),9416(a,1,1))]. given #7635 (H,wt=15): 9421 K(T(x,y),z) * (y * x) = y * T(x,z). [para(7777(a,2),9416(a,1,1))]. given #7636 (H,wt=17): 9372 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6753(a,1),9365(a,1,2))]. given #7637 (H,wt=17): 9378 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(110(a,1),9368(a,1,2)),flip(a)]. given #7638 (H,wt=17): 9387 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(110(a,1),9383(a,1,2)),flip(a)]. given #7639 (H,wt=17): 9390 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [hyper(286,a,8203,a,b,9385,a)]. given #7640 (H,wt=17): 9393 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(9391(a,1),8137(a,1,2))]. given #7641 (H,wt=17): 9402 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(171(a,1),9394(a,1,2,2)),flip(a)]. given #7642 (H,wt=15): 9428 K(x,T(y,(x * y) * z)) = K(x,T(y,z)). [hyper(286,a,7699,a(flip),b,9402,a),flip(a)]. given #7643 (H,wt=17): 9425 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(286,a,9244,a(flip),b,9378,a),flip(a)]. given #7644 (H,wt=17): 9429 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(62,a,9013,a,b,9402,a)]. given #7645 (H,wt=18): 9426 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(9390(a,2),9399(a,1))]. given #7646 (H,wt=19): 9369 K(x,L(T(y,x \ z),u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,2),9365(a,1,2))]. given #7647 (H,wt=19): 9370 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(27(a,2),9365(a,1,2))]. given #7648 (H,wt=19): 9381 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(162(a,1),9366(a,1,2)),flip(a)]. given #7649 (H,wt=19): 9382 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(163(a,1),9366(a,1,2)),flip(a)]. given #7650 (H,wt=19): 9397 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(9358(a,1),8223(a,1))]. given #7651 (H,wt=19): 9413 K(x,T(y,z)) * (y * x) = (y * x) * K(x,T(y,z)). [para(165(a,1),9361(a,1,2,2)),flip(a)]. given #7652 (H,wt=17): 9436 K(x,T(y,z)) * (y * x) = T(x * y,K(y,z)). [hyper(286,a,7097,a(flip),b,9413,a),flip(a)]. given #7653 (H,wt=19): 9420 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7721(a,1),9416(a,1,1))]. given #7654 (H,wt=19): 9422 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9367(a,1),9416(a,1,1))]. given #7655 (H,wt=19): 9424 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8770(a,1),9418(a,1,1,2)),flip(a)]. given #7656 (H,wt=15): 9439 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(286,a,9418,a(flip),b,9424,a),flip(a)]. given #7657 (H,wt=19): 9427 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). [para(110(a,1),9393(a,1,2,2))]. given #7658 (H,wt=19): 9431 K(x,L(T(y,x \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(25(a,2),9369(a,2,2))]. given #7659 (H,wt=19): 9432 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(27(a,2),9370(a,2,2))]. given #7660 (H,wt=19): 9440 T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). [para(7121(a,1),9439(a,1,2,1))]. given #7661 (H,wt=19): 9441 K(x,L(T(y,x * z),u,w)) = K(x,L(T(y,z),u,w)). [para(9(a,1),9431(a,1,2,1,2)),flip(a)]. given #7662 (H,wt=19): 9442 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(9(a,1),9432(a,1,2,1,2)),flip(a)]. given #7663 (H,wt=19): 9443 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(286,a,7706,a,b,9440,a)]. given #7664 (H,wt=20): 9404 K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. [para(8159(a,1),9396(a,1))]. given #7665 (H,wt=20): 9405 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(286,a,8043,a,b,9401,a),flip(a)]. given #7666 (H,wt=16): 9445 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8268,a,9405,a)]. given #7667 (H,wt=16): 9447 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(10(a,1),9445(a,1,2,2)),flip(a)]. given #7668 (H,wt=16): 9449 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8422,a,9447,a)]. given #7669 (H,wt=16): 9450 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(76(a,1),9449(a,1,2,2)),flip(a)]. given #7670 (H,wt=16): 9451 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8435,a,9450,a),flip(a)]. given #7671 (H,wt=17): 9448 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(104(a,1),9445(a,1,2,2))]. given #7672 (H,wt=17): 9452 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8058,a,9448,a)]. given #7673 (H,wt=19): 9446 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9405(a,2),8269(a,1))]. given #7674 (H,wt=20): 9433 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(9381(a,1),4838(a,1,2))]. given #7675 (H,wt=20): 9435 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(9382(a,1),7320(a,1,2))]. given #7676 (H,wt=20): 9437 K(x,T(y,z)) * (y * x) != u | T(x * y,K(y,z)) = u. [para(9413(a,2),7100(a,1))]. given #7677 (H,wt=20): 9444 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4875,a,9442,a)]. given #7678 (H,wt=20): 9454 K(x,T(y,(x * z) * u)) != w | K(x,T(y,z * u)) = w. [para(104(a,1),9446(a,1,2,2))]. given #7679 (H,wt=20): 9460 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(9249,a,9444,a)]. given #7680 (H,wt=21): 9373 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(9365(a,1),7241(a,1,1))]. given #7681 (H,wt=19): 9461 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(62,a,7241,a(flip),b,9373,a),flip(a)]. given #7682 (H,wt=19): 9462 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(62,a,8445,a,b,9461,a)]. given #7683 (H,wt=21): 9374 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(9365(a,1),8034(a,1,1,2))]. given #7684 (H,wt=17): 9464 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8039,a,9374,a),flip(a)]. given #7685 (H,wt=17): 9465 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),9464(a,1,2,2)),flip(a)]. given #7686 (H,wt=21): 9423 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1736(a,1),9418(a,1,1,2))]. given #7687 (H,wt=17): 9467 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(62,a,9418,a(flip),b,9423,a),flip(a)]. given #7688 (H,wt=21): 9453 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9448(a,1),8092(a,1,1))]. given #7689 (H,wt=17): 9468 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8325,a,9453,a),flip(a)]. given #7690 (H,wt=17): 9469 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(10(a,1),9468(a,1,2,2,1)),flip(a)]. given #7691 (H,wt=17): 9470 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9380,a,9469,a),flip(a)]. given #7692 (H,wt=19): 9471 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),9470(a,1,2,2)),flip(a)]. given #7693 (H,wt=22): 9318 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(8031(a,1),8582(a,1,1))]. given #7694 (H,wt=22): 9319 K(x,K(y,z)) * (K(y,z) * u) != w | K(y,T(z,x)) * u = w. [para(8077(a,1),8582(a,1,1))]. given #7695 (H,wt=22): 9320 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8056(a,1),8602(a,2,2,2))]. given #7696 (H,wt=22): 9349 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(38,a,6895,a,b,9132,a)]. given #7697 (H,wt=17): 9473 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(435,a,9349,a)]. given #7698 (H,wt=17): 9474 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3314(a,1),9473(a,1,1)),flip(a)]. given #7699 (H,wt=13): 9481 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(9474(a,1),9151(a,1,3))]. given #7700 (H,wt=14): 9479 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(9474(a,1),8770(a,1,2,2))]. given #7701 (H,wt=14): 9480 K(x * L(K(y,z),u,w),y) = K(x,y). [para(9474(a,1),8831(a,1,1,2))]. given #7702 (H,wt=14): 9485 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7083(a,1),9479(a,1,2,2))]. given #7703 (H,wt=15): 9484 T(x,y * (z * K(x,u))) = T(x,y * z). [para(92(a,1),9479(a,1,2))]. given #7704 (H,wt=15): 9488 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8061(a,1),9484(a,1,2,2))]. given #7705 (H,wt=16): 9478 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(9474(a,1),8518(a,1,1,2))]. given #7706 (H,wt=16): 9483 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(9481(a,1),50(a,2))]. given #7707 (H,wt=17): 9477 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(9474(a,1),6252(a,1,1)),flip(a)]. given #7708 (H,wt=15): 9490 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(3235,a,9477,a)]. given #7709 (H,wt=15): 9492 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(38,a,7664,a,b,9477,a)]. given #7710 (H,wt=15): 9494 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(62,a,7084,a,b,9490,a)]. given #7711 (H,wt=10): 9497 L(K(x,y),z,y) = K(x,y). [hyper(62,a,7711,a(flip),b,9494,a),flip(a)]. given #7712 (H,wt=8): 9507 a(x,y,K(z,x)) = 1. [hyper(52,a,9497,a)]. given #7713 (H,wt=10): 9504 K(L(x,y,z),z) = K(x,z). [hyper(9110,a,9497,a)]. given #7714 (H,wt=12): 9502 L(K(x,y),z,K(y,u)) = K(x,y). [para(7869(a,1),9494(a,1,2)),flip(a)]. given #7715 (H,wt=12): 9503 L(K(x,y),z,K(u,y)) = K(x,y). [para(7999(a,1),9494(a,1,2)),flip(a)]. given #7716 (H,wt=12): 9515 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(9110,a,9503,a)]. given #7717 (H,wt=15): 9498 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),9494(a,1,2,2)),flip(a)]. given #7718 (H,wt=10): 9518 K(x,L(y,z,x)) = K(x,y). [hyper(7857,a,9498,a),flip(a)]. given #7719 (H,wt=12): 9523 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(62,a,8551,a(flip),b,9498,a),flip(a)]. given #7720 (H,wt=12): 9524 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(62,a,8550,a(flip),b,9498,a),flip(a)]. given #7721 (H,wt=12): 9525 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(62,a,8004,a(flip),b,9498,a),flip(a)]. given #7722 (H,wt=12): 9530 T(x,L(y,z,x)) = x * K(x,y). [para(9518(a,1),4659(a,2,2))]. given #7723 (H,wt=10): 9536 T(x,L(y,z,x)) = T(x,y). [hyper(286,a,4659,a,b,9530,a),flip(a)]. given #7724 (H,wt=13): 9522 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(62,a,9067,a(flip),b,9498,a)]. given #7725 (H,wt=13): 9526 K(x,L(y,z,x)) != u | K(x,y) = u. [para(9498(a,1),7857(a,1))]. given #7726 (H,wt=14): 9527 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(9498(a,1),8827(a,1,1,2))]. given #7727 (H,wt=14): 9542 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7763(a,1),9527(a,1,1)),flip(a)]. given #7728 (H,wt=15): 9505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7335,a,9497,a)]. given #7729 (H,wt=15): 9506 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(62,a,7069,a(flip),b,9497,a),flip(a)]. given #7730 (H,wt=15): 9508 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9497(a,1),92(a,1,2))]. given #7731 (H,wt=8): 9551 R(x,y,K(z,x)) = x. [hyper(7165,a,9508,a)]. given #7732 (H,wt=10): 9553 R(x,y,K(z,T(x,u))) = x. [hyper(138,a,9551,a(flip))]. given #7733 (H,wt=10): 9558 R(x,y,K(z,x \ 1)) = x. [para(6458(a,1),9551(a,1,3))]. given #7734 (H,wt=14): 9555 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(9551(a,1),31(a,1,1)),flip(a)]. given #7735 (H,wt=11): 9566 R(x,y,T(x,z)) = R(x,y,x). [hyper(62,a,7547,a(flip),b,9555,a),flip(a)]. given #7736 (H,wt=13): 9571 R(x,y,(x \ z) \ z) = R(x,y,x). [para(109(a,1),9566(a,1,3))]. given #7737 (H,wt=15): 9516 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(62,a,9023,a(flip),b,9515,a)]. given #7738 (H,wt=15): 9537 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9536(a,1,2))]. given #7739 (H,wt=15): 9538 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(445(a,1),9536(a,1,2)),flip(a)]. given #7740 (H,wt=15): 9544 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(62,a,7056,a,b,9505,a)]. given #7741 (H,wt=15): 9546 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),9505(a,1,1,1)),flip(a)]. given #7742 (H,wt=15): 9573 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4595(a,1),9516(a,1,1,2))]. given #7743 (H,wt=15): 9576 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5846(a,1),9516(a,1,1,2)),flip(a)]. given #7744 (H,wt=14): 9587 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(9576(a,1),7510(a,1))]. given #7745 (H,wt=15): 9582 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(62,a,8539,a(flip),b,9538,a)]. given #7746 (H,wt=15): 9583 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(8933,a,9544,a(flip)),flip(a)]. given #7747 (H,wt=15): 9589 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8146(a,1),9576(a,1,1,2))]. given #7748 (H,wt=16): 9511 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),9504(a,1,1))]. given #7749 (H,wt=16): 9517 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9515(a,1),4695(a,2,1,1))]. given #7750 (H,wt=12): 9592 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(286,a,4695,a,b,9517,a),flip(a)]. given #7751 (H,wt=16): 9528 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),9518(a,1,2))]. given #7752 (H,wt=16): 9533 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(25(a,1),9524(a,1,2))]. given #7753 (H,wt=17): 9491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(302,a,9477,a),flip(a)]. given #7754 (H,wt=17): 9499 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(73(a,1),9494(a,1,2,2)),flip(a)]. given #7755 (H,wt=14): 9595 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6854,a,9499,a),flip(a)]. given #7756 (H,wt=15): 9600 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(94(a,1),9595(a,1,2))]. given #7757 (H,wt=15): 9601 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(445(a,1),9595(a,1,2)),flip(a)]. given #7758 (H,wt=15): 9605 K(x,y \ (z * x)) = K(x,x / (z \ y)). [hyper(62,a,6770,a(flip),b,9601,a),flip(a)]. given #7759 (H,wt=17): 9532 K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). [hyper(62,a,7240,a,b,9523,a)]. given #7760 (H,wt=17): 9541 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(271(a,1),9527(a,1,1))]. given #7761 (H,wt=17): 9545 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(62,a,7052,a,b,9505,a)]. given #7762 (H,wt=17): 9570 R(x / y,z,y \ x) = R(x / y,z,x / y). [para(110(a,1),9566(a,1,3))]. given #7763 (H,wt=17): 9579 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6145(a,1),9516(a,1,1,2))]. given #7764 (H,wt=17): 9580 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(108(a,1),9537(a,1,2,1)),flip(a)]. given #7765 (H,wt=15): 9611 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(62,a,8538,a(flip),b,9580,a),flip(a)]. given #7766 (H,wt=17): 9581 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(62,a,9387,a,b,9538,a)]. given #7767 (H,wt=17): 9590 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(155(a,1),9583(a,1,1))]. given #7768 (H,wt=17): 9608 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7175,a,9545,a)]. given #7769 (H,wt=17): 9614 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(62,a,6167,a(flip),b,9608,a),flip(a)]. given #7770 (H,wt=17): 9615 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(8933,a,9614,a),flip(a)]. given #7771 (H,wt=18): 9486 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(438(a,1),9485(a,1,2))]. given #7772 (H,wt=18): 9493 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(9477(a,2),123(a,1)),flip(b)]. given #7773 (H,wt=18): 9495 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(9490(a,1),258(a,1,2))]. given #7774 (H,wt=18): 9500 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(96(a,1),9494(a,1,2))]. given #7775 (H,wt=18): 9521 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(62,a,6700,a,b,9498,a)]. given #7776 (H,wt=16): 9618 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(9498(a,1),9521(a,1,1))]. given #7777 (H,wt=18): 9531 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9518(a,1),7083(a,1,1)),flip(a)]. given #7778 (H,wt=16): 9621 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(286,a,7083,a(flip),b,9531,a),flip(a)]. given #7779 (H,wt=18): 9534 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),9525(a,1,2))]. given #7780 (H,wt=18): 9540 K(x,y \ (x * z)) != u | K(x,(x \ y) \ z) = u. [para(445(a,1),9526(a,1,2))]. given #7781 (H,wt=18): 9585 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9544(a,2),8933(a,1))]. given #7782 (H,wt=18): 9586 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(9546(a,1),8933(a,1))]. given #7783 (H,wt=18): 9596 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(286,a,9259,a(flip),b,9499,a),flip(a)]. given #7784 (H,wt=18): 9597 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),9499(a,2,2))]. given #7785 (H,wt=18): 9598 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(445(a,1),9499(a,2,2))]. given #7786 (H,wt=18): 9599 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3006(a,1),9499(a,2,2))]. given #7787 (H,wt=18): 9612 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(94(a,2),9611(a,1,2))]. given #7788 (H,wt=18): 9617 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7084(a,2),9493(a,1))]. given #7789 (H,wt=18): 9623 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(12(a,1),9585(a,1,1,1))]. given #7790 (H,wt=18): 9625 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(9573(a,1),9585(a,1))]. given #7791 (H,wt=18): 9638 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(7056(a,1),9625(a,1))]. given #7792 (H,wt=19): 9501 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(9494(a,1),7723(a,2,1))]. given #7793 (H,wt=19): 9513 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(9502(a,1),92(a,1,2))]. given #7794 (H,wt=19): 9529 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(691(a,1),9518(a,1,2)),flip(a)]. given #7795 (H,wt=17): 9641 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8971,a,9529,a),flip(a)]. given #7796 (H,wt=19): 9535 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5856(a,1),9525(a,1,2))]. given #7797 (H,wt=15): 9643 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(8620,a,9535,a),flip(a)]. given #7798 (H,wt=13): 9645 K(x,y \ T(x,z)) = K(x,y \ x). [para(4667(a,2),9643(a,1,2,2))]. given #7799 (H,wt=15): 9646 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4605(a,1),9643(a,1,2,2)),flip(a)]. given #7800 (H,wt=15): 9647 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4608(a,1),9643(a,1,2,2)),flip(a)]. given #7801 (H,wt=15): 9651 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8146(a,1),9643(a,1,2,2))]. given #7802 (H,wt=15): 9653 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(7985,a,9645,a)]. given #7803 (H,wt=15): 9656 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(286,a,9261,a,b,9646,a)]. given #7804 (H,wt=15): 9662 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(9(a,1),9656(a,1,2,1)),flip(a)]. given #7805 (H,wt=15): 9663 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(9(a,1),9656(a,1,2)),flip(a)]. given #7806 (H,wt=17): 9657 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(9647(a,1),4659(a,2,2))]. given #7807 (H,wt=15): 9666 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(286,a,4659,a,b,9657,a),flip(a)]. given #7808 (H,wt=15): 9667 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(9(a,1),9666(a,1,2,2,1))]. given #7809 (H,wt=15): 9670 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(286,a,9582,a,b,9667,a)]. given #7810 (H,wt=15): 9671 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(286,a,9538,a,b,9667,a)]. given #7811 (H,wt=17): 9661 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(62,a,7808,a(flip),b,9653,a),flip(a)]. given #7812 (H,wt=18): 9655 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(9645(a,1),7985(a,1))]. given #7813 (H,wt=18): 9664 K(x,y \ (z * x)) != u | K(x,(y / x) \ z) = u. [para(9656(a,1),8617(a,1))]. given #7814 (H,wt=19): 9539 K(x,L(L(y,z,x),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(30(a,1),9526(a,1,2))]. given #7815 (H,wt=19): 9548 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9505(a,1),6801(a,1,2))]. given #7816 (H,wt=19): 9549 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(9505(a,1),8145(a,1,1))]. given #7817 (H,wt=15): 9679 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(33,a,8458,a(flip),b,9549,a(flip))]. given #7818 (H,wt=19): 9556 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9551(a,1),468(a,1,1,1)),flip(a)]. given #7819 (H,wt=19): 9559 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9553(a,1),104(a,1,1)),flip(a)]. given #7820 (H,wt=14): 9682 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(7575,a,9559,a)]. given #7821 (H,wt=19): 9563 (x * y) * K(z,x \ 1) = x * (y * K(z,x \ 1)). [para(9558(a,1),104(a,1,1)),flip(a)]. given #7822 (H,wt=19): 9575 K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). [para(4750(a,1),9516(a,1,1,2)),flip(a)]. given #7823 (H,wt=19): 9588 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8155(a,1),9576(a,1,1,2,1))]. given #7824 (H,wt=17): 9687 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(62,a,8771,a(flip),b,9588,a),flip(a)]. given #7825 (H,wt=15): 9689 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8248,a,9687,a),flip(a)]. given #7826 (H,wt=19): 9591 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7093(a,1),9589(a,1,1,2)),flip(a)]. given #7827 (H,wt=19): 9593 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(94(a,1),9592(a,1,2))]. given #7828 (H,wt=15): 9693 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(62,a,8541,a(flip),b,9593,a)]. given #7829 (H,wt=13): 9695 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4086(a,1),9693(a,1,2,2)),flip(a)]. given #7830 (H,wt=13): 9696 T(x,y \ T(x,z)) = T(x,y \ x). [para(4630(a,1),9693(a,1,2,2)),flip(a)]. given #7831 (H,wt=13): 9699 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7717,a,9696,a)]. given #7832 (H,wt=19): 9603 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5871(a,1),9595(a,1,2)),flip(a)]. given #7833 (H,wt=19): 9648 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6567(a,1),9643(a,1,2,2)),flip(a)]. given #7834 (H,wt=19): 9650 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(9643(a,1),7723(a,2,1))]. given #7835 (H,wt=19): 9654 K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). [para(110(a,1),9645(a,1,2,2))]. given #7836 (H,wt=19): 9658 K(x,y \ (z * (x \ u))) = K(x,y \ (z * (u / x))). [para(6696(a,1),9651(a,1,2,2)),flip(a)]. given #7837 (H,wt=19): 9659 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(7093(a,1),9651(a,1,2,2)),flip(a)]. given #7838 (H,wt=19): 9660 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7277(a,1),9651(a,1,2,2)),flip(a)]. given #7839 (H,wt=19): 9681 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(8858,a,9556,a),flip(a)]. given #7840 (H,wt=19): 9683 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [para(7723(a,1),9559(a,2,2,2))]. given #7841 (H,wt=19): 9684 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(62,a,7069,a(flip),b,9682,a),flip(a)]. given #7842 (H,wt=19): 9688 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4605(a,1),9588(a,1,1,2)),flip(a)]. given #7843 (H,wt=19): 9691 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9689(a,1),6895(a,1,1,2)),flip(a)]. given #7844 (H,wt=15): 9709 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(286,a,6895,a(flip),b,9691,a),flip(a)]. given #7845 (H,wt=17): 9710 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(9416(a,1),9709(a,1,2,1))]. given #7846 (H,wt=17): 9711 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(286,a,8903,a(flip),b,9710,a),flip(a)]. given #7847 (H,wt=15): 9713 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(108(a,1),9711(a,1,2,1))]. given #7848 (H,wt=15): 9714 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(201(a,1),9711(a,1,2,1)),flip(a)]. given #7849 (H,wt=15): 9715 K(x,(y / z) \ x) = K(x,z / (x \ y)). [hyper(7421,a,9713,a)]. given #7850 (H,wt=15): 9717 K(x,(x \ y) / z) = K(x,y / (x * z)). [para(9(a,1),9714(a,1,2,2))]. given #7851 (H,wt=15): 9719 K(x,(y / z) \ x) = K(x,(z * x) / y). [hyper(286,a,8903,a,b,9715,a),flip(a)]. given #7852 (H,wt=15): 9721 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),9715(a,2,2,2))]. given #7853 (H,wt=15): 9723 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(286,a,9324,a,b,9717,a),flip(a)]. given #7854 (H,wt=17): 9718 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(286,a,9641,a,b,9715,a)]. given #7855 (H,wt=17): 9724 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(286,a,9356,a,b,9719,a)]. given #7856 (H,wt=17): 9725 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(286,a,8142,a,b,9719,a)]. given #7857 (H,wt=17): 9728 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(39,a,8144,a,b,9725,a)]. given #7858 (H,wt=17): 9729 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(286,a,9646,a(flip),b,9728,a),flip(a)]. given #7859 (H,wt=17): 9730 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(73(a,1),9728(a,1,2,1,1)),flip(a)]. given #7860 (H,wt=17): 9732 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(9664,a,9730,a)]. given #7861 (H,wt=18): 9716 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(9713(a,1),7421(a,1))]. given #7862 (H,wt=18): 9735 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8903(a,2),9716(a,1))]. given #7863 (H,wt=19): 9697 T(x,y \ ((x \ z) \ u)) = T(x,y \ ((z / x) \ u)). [para(6001(a,1),9693(a,1,2,2)),flip(a)]. given #7864 (H,wt=19): 9702 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(286,a,7723,a,b,9650,a),flip(a)]. given #7865 (H,wt=17): 9738 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4667(a,2),9702(a,1,2,1,2))]. given #7866 (H,wt=19): 9703 K(x \ y,(z * x) \ y) = K(y / x,z \ (x \ y)). [hyper(286,a,8307,a,b,9654,a)]. given #7867 (H,wt=19): 9705 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6883(a,1),9660(a,1,2,2,1)),flip(a)]. given #7868 (H,wt=19): 9706 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(6623(a,2),9681(a,1,2))]. given #7869 (H,wt=19): 9707 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [hyper(572,a,9683,a)]. given #7870 (H,wt=19): 9708 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(62,a,7863,a,b,9688,a)]. given #7871 (H,wt=17): 9744 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(8455,a,9708,a(flip)),flip(a)]. given #7872 (H,wt=17): 9745 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(9(a,1),9744(a,1,1,1)),flip(a)]. given #7873 (H,wt=17): 9746 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(62,a,6429,a(flip),b,9745,a)]. given #7874 (H,wt=17): 9747 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8880,a,9746,a)]. given #7875 (H,wt=19): 9720 K(x,(y / z) \ x) * u = K(x,z / (x \ y)) * u. [hyper(56,a,9715,a)]. given #7876 (H,wt=15): 9748 T(x,(y / z) \ x) = T(x,z / (x \ y)). [hyper(6009,a,9720,a)]. given #7877 (H,wt=15): 9749 T(x,(y / z) \ x) = T(x,(z * x) / y). [hyper(286,a,8900,a,b,9748,a),flip(a)]. given #7878 (H,wt=19): 9726 K(x,y / (K(z,u) * x)) = K(x,(x \ y) * K(u,z)). [para(6892(a,1),9723(a,1,2)),flip(a)]. given #7879 (H,wt=19): 9733 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(62,a,9662,a(flip),b,9730,a),flip(a)]. given #7880 (H,wt=17): 9750 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9380,a,9733,a),flip(a)]. given #7881 (H,wt=20): 9519 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(4412,a,9498,a)]. given #7882 (H,wt=20): 9543 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(9542(a,1),8183(a,1,1,2)),flip(a)]. given #7883 (H,wt=18): 9752 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(286,a,8183,a(flip),b,9543,a),flip(a)]. given #7884 (H,wt=20): 9594 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(9491(a,1),301(a,1,2)),flip(b)]. given #7885 (H,wt=20): 9602 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4262(a,1),9595(a,1,2))]. given #7886 (H,wt=20): 9613 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9590(a,1),6391(a,1,1,1))]. given #7887 (H,wt=20): 9624 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(155(a,1),9585(a,1,1))]. given #7888 (H,wt=20): 9626 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(286,a,9254,a(flip),b,9596,a),flip(a)]. given #7889 (H,wt=20): 9627 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [para(4888(a,1),9597(a,2,2,2))]. given #7890 (H,wt=20): 9628 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7722(a,1),9597(a,1,1)),flip(a)]. given #7891 (H,wt=20): 9635 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(73(a,1),9617(a,1,2,2))]. given #7892 (H,wt=20): 9637 x * ((y \ (x \ 1)) * y) != z | K(x \ (y \ 1),y) = z. [para(6242(a,2),9625(a,1))]. given #7893 (H,wt=20): 9668 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(9666(a,2),4749(a,1))]. given #7894 (H,wt=20): 9712 K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. [para(9710(a,2),9000(a,1))]. given #7895 (H,wt=20): 9731 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(9728(a,1),8247(a,1,1))]. given #7896 (H,wt=20): 9736 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(9356(a,2),9735(a,1))]. given #7897 (H,wt=20): 9754 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(286,a,9601,a(flip),b,9602,a),flip(a)]. given #7898 (H,wt=20): 9755 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [hyper(6485,a,9627,a(flip)),flip(a)]. given #7899 (H,wt=21): 9476 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(62,a,6895,a,b,9474,a)]. given #7900 (H,wt=17): 9761 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6249(a,1),9476(a,1,1,2))]. given #7901 (H,wt=17): 9762 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(182,a,9761,a)]. given #7902 (H,wt=20): 9763 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(9761(a,1),126(a,1,2)),flip(b)]. given #7903 (H,wt=20): 9764 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(9761(a,1),258(a,1,2))]. given #7904 (H,wt=21): 9496 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(62,a,8176,a(flip),b,9494,a),flip(a)]. given #7905 (H,wt=17): 9765 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8155(a,1),9496(a,1,1)),flip(a)]. given #7906 (H,wt=15): 9767 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(174(a,1),9765(a,1,2,2)),flip(a)]. given #7907 (H,wt=15): 9768 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(240(a,1),9765(a,1,2,2))]. given #7908 (H,wt=17): 9766 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(11(a,1),9765(a,1,2,2)),flip(a)]. given #7909 (H,wt=17): 9771 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(12(a,1),9767(a,1,2))]. given #7910 (H,wt=14): 9774 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(340,a,9771,a),flip(a)]. given #7911 (H,wt=21): 9512 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6662(a,1),9504(a,1,1))]. given #7912 (H,wt=17): 9775 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(62,a,7199,a(flip),b,9512,a)]. given #7913 (H,wt=13): 9776 K(K(x \ y,x) * z,y) = K(z,y). [hyper(7510,a,9775,a),flip(a)]. given #7914 (H,wt=21): 9520 L(K(x,L(y,z,u)),L(y,z,u),w) = L(K(x,y),z * y,u). [hyper(286,a,6694,a,b,9498,a)]. given #7915 (H,wt=18): 9780 L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. [para(9520(a,1),335(a,1)),flip(b)]. given #7916 (H,wt=20): 9782 K(L(x,y,z) \ 1,x) != u | K(w \ 1,L(w,v5,v6)) = u. [para(5924(a,1),9780(a,1))]. given #7917 (H,wt=20): 9784 K(L(x,y,z) \ 1,L(x,y,z)) = K(u \ 1,L(u,w,v5)). [hyper(9782,a,9519,a(flip)),flip(a)]. given #7918 (H,wt=21): 9557 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(9551(a,1),469(a,1,1,1)),flip(a)]. given #7919 (H,wt=13): 9786 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7575,a,9557,a)]. given #7920 (H,wt=13): 9787 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(9780,a,9786,a)]. given #7921 (H,wt=13): 9788 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9110,a,9786,a)]. given #7922 (H,wt=21): 9604 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(62,a,7427,a(flip),b,9601,a),flip(a)]. given #7923 (H,wt=21): 9606 (x / y) \ (x * K(y,z \ (u * y))) = T(y,(u \ z) \ y). [para(9601(a,1),6821(a,1,2,2))]. given #7924 (H,wt=15): 9791 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [hyper(6863,a,9606,a),flip(a)]. given #7925 (H,wt=17): 9792 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9791(a,1),7901(a,1,2))]. given #7926 (H,wt=17): 9794 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9671(a,2),9792(a,1,2))]. given #7927 (H,wt=17): 9795 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(9(a,1),9794(a,1,2,2,1)),flip(a)]. given #7928 (H,wt=17): 9796 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(9376,a,9795,a),flip(a)]. given #7929 (H,wt=17): 9797 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(286,a,7161,a,b,9796,a),flip(a)]. given #7930 (H,wt=17): 9798 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(62,a,7161,a,b,9797,a)]. given #7931 (H,wt=17): 9799 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(9(a,1),9798(a,1,2,2)),flip(a)]. given #7932 (H,wt=19): 9793 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(10(a,1),9792(a,1,2,2,2))]. given #7933 (H,wt=17): 9800 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(286,a,9364,a(flip),b,9793,a),flip(a)]. given #7934 (H,wt=21): 9609 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7936(a,2),9570(a,2,1)),flip(a)]. given #7935 (H,wt=21): 9616 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9615(a,1),4694(a,2,2,2))]. given #7936 (H,wt=17): 9801 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(286,a,4694,a,b,9616,a),flip(a)]. given #7937 (H,wt=19): 9802 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(9668,a,9801,a),flip(a)]. given #7938 (H,wt=17): 9803 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4727,a,9802,a)]. given #7939 (H,wt=17): 9804 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(9(a,1),9803(a,1,2,2)),flip(a)]. given #7940 (H,wt=17): 9805 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(62,a,9646,a,b,9804,a)]. given #7941 (H,wt=21): 9619 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(62,a,7069,a(flip),b,9618,a),flip(a)]. given #7942 (H,wt=21): 9622 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(445(a,1),9621(a,1,2)),flip(a)]. given #7943 (H,wt=21): 9634 L(K(x,y \ z),z,y \ 1) != u | K(x,(y \ 1) * z) = u. [para(9599(a,2),8885(a,1))]. given #7944 (H,wt=21): 9636 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(96(a,1),9617(a,1,2))]. given #7945 (H,wt=21): 9639 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7068(a,2),9625(a,1))]. given #7946 (H,wt=21): 9649 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9643(a,1),6821(a,1,2,2)),flip(a)]. given #7947 (H,wt=18): 9808 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9649(a,2),6863(a,1))]. given #7948 (H,wt=16): 9810 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5736(a,1),9808(a,1,2))]. given #7949 (H,wt=18): 9809 T(x,y \ (x * z)) != u | T(x,y \ (z * x)) = u. [para(4605(a,1),9808(a,1,2,2))]. given #7950 (H,wt=18): 9811 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(6108(a,1),9808(a,1,2))]. given #7951 (H,wt=21): 9677 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(9(a,1),9548(a,2,2,1,2))]. given #7952 (H,wt=21): 9734 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(73(a,1),9732(a,1,2,1)),flip(a)]. given #7953 (H,wt=19): 9813 K(x \ y,x \ (z \ y)) = K(y / x,z \ (x \ y)). [hyper(8248,a,9734,a),flip(a)]. given #7954 (H,wt=19): 9814 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(286,a,9703,a,b,9813,a)]. given #7955 (H,wt=21): 9739 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7911(a,1),9702(a,1,2,1,2))]. given #7956 (H,wt=19): 9817 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(286,a,9738,a(flip),b,9739,a),flip(a)]. given #7957 (H,wt=21): 9756 (1 / x) \ K(y,((x \ 1) * z) \ 1) = x * K(y,z \ x). [hyper(115,a,9627,a(flip),b,3000,a)]. given #7958 (H,wt=19): 9819 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(6400(a,1),9756(a,1,2))]. given #7959 (H,wt=21): 9758 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(94(a,1),9635(a,1,2))]. given #7960 (H,wt=21): 9773 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4638(a,1),9767(a,1,2))]. given #7961 (H,wt=21): 9779 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9776(a,1),4659(a,2,2)),flip(a)]. given #7962 (H,wt=19): 9821 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6868,a,9779,a),flip(a)]. given #7963 (H,wt=21): 9790 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1236(a,1),9604(a,1,2)),flip(a)]. given #7964 (H,wt=21): 9816 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(286,a,7777,a,b,9739,a),flip(a)]. given #7965 (H,wt=22): 9455 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(115,a,9433,a(flip),b,5725,a),flip(a)]. given #7966 (H,wt=22): 9457 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(115,a,9435,a(flip),b,5725,a),flip(a)]. given #7967 (H,wt=22): 9458 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(115,a,9435,a(flip),b,4638,a),flip(a)]. given #7968 (H,wt=22): 9463 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(105(a,1),9462(a,1,1)),flip(a)]. given #7969 (H,wt=22): 9514 (K(x,y) * z) * K(u,x) != w | K(x,y) * (z * K(u,x)) = w. [para(9502(a,1),261(a,1,2))]. given #7970 (H,wt=22): 9560 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(9553(a,1),472(a,1,1)),flip(a)]. given #7971 (H,wt=22): 9610 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(206(a,1),9579(a,1,1)),flip(a)]. given #7972 (H,wt=22): 9629 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(62,a,9067,a(flip),b,9598,a)]. given #7973 (H,wt=22): 9631 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(9598(a,1),25(a,2,1))]. given #7974 (H,wt=22): 9633 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(9598(a,1),6060(a,1)),flip(b)]. given #7975 (H,wt=22): 9652 K(x,(K(y,x) * z) \ u) != w | K(x,z \ (K(x,v5) * u)) = w. [para(9643(a,1),8620(a,1))]. given #7976 (H,wt=22): 9678 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(9548(a,1),6902(a,1,1))]. given #7977 (H,wt=19): 9829 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(9678,a,7365,a),flip(a)]. given #7978 (H,wt=19): 9831 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),9829(a,1,2,1,2)),flip(a)]. given #7979 (H,wt=19): 9834 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,8524,a,b,9831,a)]. given #7980 (H,wt=19): 9835 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(9(a,1),9834(a,1,2,2))]. given #7981 (H,wt=19): 9836 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(286,a,9646,a,b,9835,a),flip(a)]. given #7982 (H,wt=17): 9839 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(8(a,1),9836(a,2,2,1))]. given #7983 (H,wt=19): 9838 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,8524,a(flip),b,9836,a)]. given #7984 (H,wt=22): 9680 K(x \ (y \ z),y) * z != z * u | K(z / (y * x),y) = u. [para(9549(a,2),42(a,1))]. given #7985 (H,wt=22): 9753 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4751(a,1),9752(a,1,2,2))]. given #7986 (H,wt=22): 9770 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(62,a,7069,a(flip),b,9767,a),flip(a)]. given #7987 (H,wt=22): 9772 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9767(a,1),92(a,1,2))]. given #7988 (H,wt=22): 9820 (1 / x) \ y != x * K(z,(u \ 1) \ x) | K(z,u * x) = y. [para(9819(a,1),46(a,1)),flip(a)]. given #7989 (H,wt=22): 9824 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9457(a,1),5868(a,1,2))]. given #7990 (H,wt=22): 9825 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(8223,a,9463,a)]. given #7991 (H,wt=19): 9844 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(286,a,7761,a(flip),b,9825,a)]. given #7992 (H,wt=15): 9845 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(76(a,1),9844(a,1,1,1)),flip(a)]. given #7993 (H,wt=15): 9846 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),9845(a,1,1,2)),flip(a)]. given #7994 (H,wt=13): 9848 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9053,a,9846,a),flip(a)]. given #7995 (H,wt=22): 9828 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(286,a,7723,a,b,9631,a),flip(a)]. given #7996 (H,wt=22): 9830 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(7365(a,1),9678(a,1))]. given #7997 (H,wt=22): 9832 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3000(a,1),9829(a,1,2,1)),flip(a)]. given #7998 (H,wt=16): 9851 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(156(a,1),9832(a,1,2)),flip(a)]. given #7999 (H,wt=22): 9843 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9508(a,1),9772(a,2,2))]. given #8000 (H,wt=22): 9850 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7723(a,2),9828(a,1,1))]. given #8001 (H,wt=19): 9855 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6854,a,9850,a)]. given #8002 (H,wt=17): 9857 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(286,a,9724,a(flip),b,9855,a),flip(a)]. given #8003 (H,wt=17): 9859 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),9857(a,1,2,1,1)),flip(a)]. given #8004 (H,wt=19): 9860 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4054(a,1),9859(a,1,2,1)),flip(a)]. given #8005 (H,wt=20): 9858 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9855(a,2),9736(a,1))]. given #8006 (H,wt=22): 9856 K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(9850(a,1),6854(a,1))]. given #8007 (H,wt=23): 7630 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7622(a,1),1486(a,1,1)),flip(a)]. given #8008 (H,wt=23): 7779 ((x \ y) \ y) * (z * K(x,T(z,y))) = T((x \ y) \ y,z) * z. [para(7754(a,1),4692(a,1,2,2))]. given #8009 (H,wt=23): 7787 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(62,a,6182,a,b,7777,a)]. given #8010 (H,wt=23): 7821 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7777(a,1),7283(a,1,2)),flip(a)]. given #8011 (H,wt=23): 7908 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7789(a,1),1772(a,1,2))]. given #8012 (H,wt=23): 8054 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8032(a,1),7181(a,1,2))]. given #8013 (H,wt=23): 8220 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8165(a,1),6879(a,1,2)),flip(a)]. given #8014 (H,wt=21): 9866 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8165(a,1),8220(a,1,1)),flip(a)]. given #8015 (H,wt=17): 9867 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(570,a,9866,a),flip(a)]. given #8016 (H,wt=17): 9868 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(6443,a,9867,a)]. given #8017 (H,wt=17): 9869 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5756(a,1),9868(a,1,2))]. given #8018 (H,wt=21): 9870 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(6149(a,1),9869(a,2,2))]. given #8019 (H,wt=23): 8229 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3925(a,1),8177(a,1,1))]. given #8020 (H,wt=21): 9871 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7989,a,8229,a)]. given #8021 (H,wt=23): 8265 K(T(x,y),R(z,y,u)) != w | K(x,((y * z) * u) / (y * u)) = w. [para(706(a,2),8249(a,1,2))]. given #8022 (H,wt=23): 8280 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7794(a,1),8093(a,1,2,2))]. given #8023 (H,wt=23): 8288 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(8120(a,1),213(a,1,2,1)),flip(a)]. given #8024 (H,wt=23): 8311 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8207(a,2),7402(a,1,2))]. given #8025 (H,wt=17): 9874 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9047,a,8311,a),flip(a)]. given #8026 (H,wt=15): 9876 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4621(a,1),9874(a,1,2,2)),flip(a)]. given #8027 (H,wt=15): 9878 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(62,a,7407,a,b,9876,a)]. given #8028 (H,wt=17): 9877 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7736(a,1),9874(a,1,2,2))]. given #8029 (H,wt=17): 9879 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),9878(a,1,2))]. given #8030 (H,wt=21): 9880 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9877(a,1),6895(a,1,1,2)),flip(a)]. given #8031 (H,wt=17): 9882 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(286,a,6895,a(flip),b,9880,a),flip(a)]. given #8032 (H,wt=17): 9884 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5846(a,1),9882(a,1,1,2)),flip(a)]. given #8033 (H,wt=19): 9883 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(62,a,7243,a(flip),b,9882,a)]. given #8034 (H,wt=17): 9886 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(286,a,7237,a(flip),b,9883,a),flip(a)]. given #8035 (H,wt=17): 9887 R(K(x,y),x \ z,u) = R(K(x,y),z / x,u). [para(4699(a,1),9886(a,1,2)),flip(a)]. given #8036 (H,wt=22): 9888 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9887(a,2),7395(a,1,1))]. given #8037 (H,wt=23): 8338 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(773(a,2),8172(a,1,1))]. given #8038 (H,wt=21): 9890 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8338,a,9138,a)]. given #8039 (H,wt=23): 8409 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6262(a,1),8383(a,1,2)),flip(a)]. given #8040 (H,wt=23): 8416 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(115,a,8394,a(flip),b,6177,a(flip))]. given #8041 (H,wt=23): 8444 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8318(a,1),8139(a,1,1))]. given #8042 (H,wt=17): 9892 T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). [hyper(33,a,8124,a,b,8444,a(flip))]. given #8043 (H,wt=21): 9891 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(286,a,6185,a(flip),b,8444,a),flip(a)]. given #8044 (H,wt=23): 8448 K(L(x \ K(y,x \ 1),z,u),w) = K(L(x \ 1,z,u),T(w,y)). [para(4711(a,1),8168(a,1,1,1)),flip(a)]. given #8045 (H,wt=23): 8561 T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). [para(7883(a,1),110(a,1,1))]. given #8046 (H,wt=23): 8563 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(264,a,7889,a)]. given #8047 (H,wt=23): 8580 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(2805(a,1),7935(a,1,1,2)),flip(a)]. given #8048 (H,wt=21): 9894 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(62,a,6620,a(flip),b,8580,a),flip(a)]. given #8049 (H,wt=23): 8583 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(8005(a,1),8123(a,1,1))]. given #8050 (H,wt=23): 8586 K(x,K(y,(z \ 1) \ (z \ u))) = (z \ u) \ (z \ T(u,K(x,y))). [hyper(115,a,872,a(flip),b,8088,a(flip)),flip(a)]. given #8051 (H,wt=23): 8589 K(x,L(T((y * z) / y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [para(243(a,1),8587(a,1,2,1,1)),flip(a)]. given #8052 (H,wt=23): 8595 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(3989(a,1),8272(a,1,2,2,2))]. given #8053 (H,wt=19): 9896 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8501,a,8595,a),flip(a)]. given #8054 (H,wt=22): 9897 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8595(a,1),8501(a,1))]. given #8055 (H,wt=23): 8599 K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). [para(5896(a,1),8404(a,1,2))]. given #8056 (H,wt=21): 9899 K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). [para(8666(a,1),8599(a,1,1))]. given #8057 (H,wt=23): 8607 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(7012(a,1),8417(a,2,2))]. given #8058 (H,wt=21): 9900 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(286,a,8695,a(flip),b,8607,a),flip(a)]. given #8059 (H,wt=17): 9901 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(76(a,1),9900(a,1,2,2,1,2))]. given #8060 (H,wt=17): 9902 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(8885,a,9901,a)]. given #8061 (H,wt=23): 8673 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8661(a,1),8626(a,1,1))]. given #8062 (H,wt=23): 8755 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(8754(a,1),4263(a,1,3))]. given #8063 (H,wt=21): 9904 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5736(a,1),8755(a,1,2))]. given #8064 (H,wt=19): 9905 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5736(a,1),9904(a,2,2))]. given #8065 (H,wt=22): 9906 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9905(a,1),425(a,1,2)),flip(a)]. given #8066 (H,wt=22): 9907 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3928(a,1),9906(a,1,2,1))]. given #8067 (H,wt=22): 9908 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3928(a,1),9907(a,2,2,2))]. given #8068 (H,wt=23): 8782 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(8770(a,1),214(a,1,2,1))]. given #8069 (H,wt=23): 8784 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(8770(a,1),3931(a,1,2,1))]. given #8070 (H,wt=23): 8973 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(286,a,4708,a(flip),b,8959,a),flip(a)]. given #8071 (H,wt=19): 9911 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4792(a,1),8973(a,1,2,2))]. given #8072 (H,wt=23): 9009 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4585(a,1),8902(a,2,2,1))]. given #8073 (H,wt=23): 9045 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),8089(a,1,2,1))]. given #8074 (H,wt=23): 9065 K(x \ 1,x) * (K(y,z) * K(y,u)) = (y \ K(y,z)) * T(y,u). [para(8362(a,1),5565(a,1,2))]. given #8075 (H,wt=23): 9077 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,y \ x)). [para(8667(a,2),8560(a,2,2))]. given #8076 (H,wt=23): 9095 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9040(a,2),8095(a,1,1))]. given #8077 (H,wt=21): 9917 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8378(a,1),9095(a,1,1,1)),flip(a)]. given #8078 (H,wt=21): 9918 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9043(a,1),9917(a,2,1))]. given #8079 (H,wt=19): 9919 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(4743,a,9918,a),flip(a)]. given #8080 (H,wt=17): 9920 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8376,a,9919,a),flip(a)]. given #8081 (H,wt=17): 9921 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(62,a,9348,a(flip),b,9920,a)]. given #8082 (H,wt=23): 9106 K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)). [para(9055(a,1),7766(a,1,2)),flip(a)]. given #8083 (H,wt=23): 9139 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,7072,a(flip),b,9134,a)]. given #8084 (H,wt=23): 9149 K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). [para(3889(a,1),9144(a,1,1,2))]. given #8085 (H,wt=23): 9201 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(62,a,1868,a,b,9186,a)]. given #8086 (H,wt=22): 9924 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9186(a,1),9201(a,1,1)),flip(a)]. given #8087 (H,wt=23): 9237 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(9135(a,1),6951(a,1))]. given #8088 (H,wt=18): 9926 K(x,y \ (x \ z)) != u | K(x,(y * x) \ z) = u. [para(9257(a,1),9237(a,1))]. given #8089 (H,wt=18): 9928 K(x,(x * y) \ z) != u | K(x,(y * x) \ z) = u. [para(9244(a,2),9926(a,1))]. given #8090 (H,wt=23): 9239 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(9142(a,1),301(a,1,2)),flip(b)]. given #8091 (H,wt=23): 9268 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(9266(a,1),7449(a,2,1))]. given #8092 (H,wt=23): 9273 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9270(a,1),7459(a,2,2))]. given #8093 (H,wt=17): 9930 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(9274,a,9273,a)]. given #8094 (H,wt=21): 9931 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9930(a,1),6895(a,1,1,2)),flip(a)]. given #8095 (H,wt=17): 9932 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(286,a,6895,a(flip),b,9931,a),flip(a)]. given #8096 (H,wt=17): 9933 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(10(a,1),9932(a,1,1,1)),flip(a)]. given #8097 (H,wt=22): 9934 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(62,a,6702,a,b,9933,a)]. given #8098 (H,wt=17): 9935 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(62,a,7069,a(flip),b,9934,a)]. given #8099 (H,wt=21): 9936 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,9139,a(flip),b,9935,a),flip(a)]. given #8100 (H,wt=17): 9938 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(286,a,8855,a(flip),b,9936,a),flip(a)]. given #8101 (H,wt=17): 9939 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8933,a,9938,a)]. given #8102 (H,wt=20): 9940 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(62,a,9026,a(flip),b,9939,a)]. given #8103 (H,wt=16): 9941 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(286,a,9583,a(flip),b,9940,a),flip(a)]. given #8104 (H,wt=23): 9294 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(9(a,1),9267(a,1,1,1,1)),flip(a)]. given #8105 (H,wt=20): 9943 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(62,a,9460,a(flip),b,9294,a),flip(a)]. given #8106 (H,wt=23): 9297 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7736(a,1),9292(a,1,2))]. given #8107 (H,wt=23): 9298 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(22(a,2),9293(a,1,2,2)),flip(a)]. given #8108 (H,wt=21): 9944 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(286,a,8796,a(flip),b,9298,a),flip(a)]. given #8109 (H,wt=17): 9945 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(62,a,7441,a(flip),b,9944,a)]. given #8110 (H,wt=13): 9946 K(x,K(y \ x,y) * z) = K(x,z). [hyper(4871,a,9945,a),flip(a)]. given #8111 (H,wt=13): 9950 K(x,y * K(z \ x,z)) = K(x,y). [hyper(62,a,7849,a(flip),b,9946,a)]. given #8112 (H,wt=15): 9951 K(x,(y \ x) * z) = K(x,(x / y) * z). [para(6188(a,1),9946(a,1,2))]. given #8113 (H,wt=16): 9948 K(x,K(y \ x,y) * z) != u | K(x,z) = u. [para(9945(a,1),4871(a,1))]. given #8114 (H,wt=18): 9954 K(x,(y * (x / y)) \ z) != u | K(x,x \ z) = u. [para(9293(a,1),9948(a,1))]. given #8115 (H,wt=21): 9953 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(7054(a,1),9950(a,1,2)),flip(a)]. given #8116 (H,wt=23): 9307 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6753(a,1),9306(a,1,2)),flip(a)]. given #8117 (H,wt=17): 9955 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(286,a,9306,a(flip),b,9307,a),flip(a)]. given #8118 (H,wt=17): 9956 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(10(a,1),9955(a,1,2,1,1)),flip(a)]. given #8119 (H,wt=23): 9308 K((x * y) \ z,T(u,y)) != w | K(L((x \ z) / y,y,x),u) = w. [para(268(a,1),8264(a,1,1))]. given #8120 (H,wt=23): 9327 K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). [para(8792(a,1),9323(a,1,2,2,2))]. given #8121 (H,wt=21): 9957 K(x * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). [hyper(286,a,8183,a(flip),b,9327,a),flip(a)]. given #8122 (H,wt=19): 9958 K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). [hyper(8339,a,9957,a)]. given #8123 (H,wt=23): 9335 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6567(a,1),9333(a,1,2,2,1)),flip(a)]. given #8124 (H,wt=23): 9430 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(110(a,1),9429(a,1,2)),flip(a)]. given #8125 (H,wt=23): 9482 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(9474(a,1),9473(a,1,1)),flip(a)]. given #8126 (H,wt=23): 9578 K(x \ ((y * z) \ z),y \ 1) = K(x \ (z / (y * z)),y \ 1). [para(5973(a,1),9516(a,1,1,2)),flip(a)]. given #8127 (H,wt=23): 9630 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(62,a,7069,a(flip),b,9598,a),flip(a)]. given #8128 (H,wt=21): 9959 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(64(a,1),9630(a,2,1))]. given #8129 (H,wt=23): 9632 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(9598(a,1),92(a,1,2))]. given #8130 (H,wt=21): 9963 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(64(a,1),9632(a,1,2,2)),flip(a)]. given #8131 (H,wt=23): 9674 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6894(a,1),9661(a,1,2,1))]. given #8132 (H,wt=17): 9965 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(286,a,7444,a(flip),b,9674,a),flip(a)]. given #8133 (H,wt=17): 9967 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(62,a,9603,a(flip),b,9965,a)]. given #8134 (H,wt=15): 9968 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4674(a,1),9967(a,1,2,2))]. given #8135 (H,wt=15): 9969 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(73(a,1),9968(a,1,2,2,2))]. given #8136 (H,wt=23): 9676 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(56,a,9548,a)]. given #8137 (H,wt=23): 9698 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(9695(a,1),6195(a,1,2,1))]. given #8138 (H,wt=23): 9727 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(9718(a,2),7736(a,2,1)),flip(a)]. given #8139 (H,wt=23): 9740 K(x,y \ (((x \ z) * u) * w)) = K(x,y \ (((z / x) * u) * w)). [para(7006(a,1),9705(a,1,2,2,1)),flip(a)]. given #8140 (H,wt=23): 9759 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(268(a,1),9635(a,1,2))]. given #8141 (H,wt=23): 9760 L(K(x,y \ z),z,z \ 1) != u | K(x,((z \ 1) * y) \ 1) = u. [para(9755(a,2),8985(a,1))]. given #8142 (H,wt=23): 9807 K(x,((y \ 1) * (y / z)) \ 1) != u | L(K(x,z),y,y \ 1) = u. [para(4888(a,1),9636(a,1,2,2))]. given #8143 (H,wt=23): 9812 T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. [para(3084(a,2),9811(a,1,2,1))]. given #8144 (H,wt=23): 9822 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4776(a,1),9821(a,2,1))]. given #8145 (H,wt=19): 9973 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4776(a,1),9822(a,1,1,1))]. given #8146 (H,wt=19): 9974 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6570,a,9973,a),flip(a)]. given #8147 (H,wt=23): 9833 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9829(a,1),6895(a,1,1,2))]. given #8148 (H,wt=19): 9976 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6902,a,9833,a),flip(a)]. given #8149 (H,wt=19): 9978 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(62,a,9019,a(flip),b,9976,a)]. given #8150 (H,wt=19): 9980 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(10(a,1),9978(a,1,1,1,2)),flip(a)]. given #8151 (H,wt=19): 9983 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8933,a,9980,a)]. given #8152 (H,wt=17): 9985 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(8(a,1),9983(a,2,1,1))]. given #8153 (H,wt=18): 9987 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(62,a,7075,a,b,9985,a)]. given #8154 (H,wt=20): 9986 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(62,a,7139,a,b,9985,a)]. given #8155 (H,wt=22): 9977 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9833(a,1),6902(a,1))]. given #8156 (H,wt=22): 9984 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(9980(a,1),8933(a,1))]. given #8157 (H,wt=22): 9988 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(9019(a,1),9977(a,1))]. given #8158 (H,wt=23): 9849 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8833(a,1),9846(a,1,1))]. given #8159 (H,wt=23): 9862 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(286,a,400,a(flip),b,7630,a),flip(a)]. given #8160 (H,wt=23): 9863 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(286,a,7777,a(flip),b,7787,a),flip(a)]. given #8161 (H,wt=23): 9865 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7777(a,1),7821(a,1,1,2))]. given #8162 (H,wt=23): 9893 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(115,a,9891,a(flip),b,4638,a)]. given #8163 (H,wt=21): 9991 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(286,a,9894,a(flip),b,9893,a),flip(a)]. given #8164 (H,wt=23): 9898 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,7776,a(flip),b,9896,a),flip(a)]. given #8165 (H,wt=21): 9992 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9465,a(flip),b,9898,a)]. given #8166 (H,wt=21): 9993 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7980,a,9992,a)]. given #8167 (H,wt=19): 9994 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(286,a,9725,a(flip),b,9993,a),flip(a)]. given #8168 (H,wt=23): 9903 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(62,a,7316,a(flip),b,8673,a),flip(a)]. given #8169 (H,wt=23): 9910 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(7045,a,8782,a)]. given #8170 (H,wt=23): 9913 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7723(a,2),9009(a,2,2))]. given #8171 (H,wt=23): 9915 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(9065(a,1),7568(a,1,2))]. given #8172 (H,wt=23): 9916 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y \ x,K(z,y)). [para(8031(a,1),9077(a,2,2))]. given #8173 (H,wt=15): 9998 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(4813,a,9916,a),flip(a)]. given #8174 (H,wt=19): 9999 T(x / T(y,z \ 1),y) = (y \ x) * K(z,y \ 1). [para(6458(a,1),9998(a,2,2))]. given #8175 (H,wt=19): 10000 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(9998(a,2),6589(a,1,1))]. given #8176 (H,wt=23): 9929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(9268(a,1),6274(a,1,2)),flip(a)]. given #8177 (H,wt=22): 10001 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(9929(a,2),5854(a,1))]. given #8178 (H,wt=17): 10002 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(10001,a,6367,a),flip(a)]. given #8179 (H,wt=17): 10004 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(62,a,9324,a,b,10002,a)]. given #8180 (H,wt=17): 10005 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(12(a,1),10004(a,1,2,2,1)),flip(a)]. given #8181 (H,wt=20): 10003 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(6367(a,1),10001(a,1))]. given #8182 (H,wt=23): 9937 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1236(a,1),9935(a,1,1))]. given #8183 (H,wt=23): 9970 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9969(a,1),9636(a,1))]. given #8184 (H,wt=23): 9982 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9978(a,1),4694(a,2,2,2)),flip(a)]. given #8185 (H,wt=19): 10007 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4765,a,9982,a),flip(a)]. given #8186 (H,wt=19): 10009 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(62,a,8546,a,b,10007,a)]. given #8187 (H,wt=22): 10008 T(x,(y * (x * z)) \ u) != w | T(x,(y * z) \ (x \ u)) = w. [para(9982(a,1),4765(a,1))]. given #8188 (H,wt=23): 9989 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(9(a,1),9862(a,1,2,2,1,2))]. given #8189 (H,wt=24): 7637 T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(7628(a,2),6317(a,1))]. given #8190 (H,wt=24): 7725 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(286,a,7425,a,b,7723,a)]. given #8191 (H,wt=24): 7751 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(697(a,1),7714(a,1,1,1)),flip(a)]. given #8192 (H,wt=24): 7765 (K(x,y) * z) \ (z * (K(x,T(y,z)) * u)) = L(u,K(x,T(y,z)),z). [para(7736(a,1),18(a,2,1)),flip(a)]. given #8193 (H,wt=24): 7771 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7736(a,1),93(a,1,2,2)),flip(a)]. given #8194 (H,wt=24): 7840 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7794(a,1),6934(a,1,2))]. given #8195 (H,wt=24): 7872 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7676(a,1),195(a,2,1)),flip(a)]. given #8196 (H,wt=17): 10014 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(62,a,7890,a(flip),b,7872,a),flip(a)]. given #8197 (H,wt=17): 10016 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8146(a,1),10014(a,1,3))]. given #8198 (H,wt=15): 10017 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7168,a,10016,a)]. given #8199 (H,wt=22): 10018 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(10017(a,1),1940(a,1,1,2))]. given #8200 (H,wt=19): 10020 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(62,a,7310,a(flip),b,10018,a),flip(a)]. given #8201 (H,wt=21): 10023 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10020(a,1),1810(a,1,1))]. given #8202 (H,wt=24): 7996 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4460(a,2),7988(a,1,1))]. given #8203 (H,wt=24): 8021 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7652(a,1),6884(a,1,2))]. given #8204 (H,wt=18): 10024 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(8021(a,1),655(a,1))]. given #8205 (H,wt=11): 10025 a(x,y,T(x,z)) = a(x,y,x). [hyper(10024,a,9346,a)]. given #8206 (H,wt=13): 10026 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(10024,a,9345,a)]. given #8207 (H,wt=14): 10027 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10025(a,1),7134(a,1))]. given #8208 (H,wt=14): 10028 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10026(a,2),9189(a,1))]. given #8209 (H,wt=24): 8131 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(727,a,8116,a)]. given #8210 (H,wt=24): 8180 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1307(a,1),8155(a,1,2))]. given #8211 (H,wt=15): 10029 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8180(a,1),8366(a,1,2))]. given #8212 (H,wt=24): 8205 L(x \ y,x,K(z,T(u,x))) = (x * K(z,u)) \ (K(z,T(u,x)) * y). [para(8146(a,1),94(a,2,1))]. given #8213 (H,wt=24): 8206 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8146(a,1),588(a,1,2,1)),flip(a)]. given #8214 (H,wt=24): 8327 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8287(a,1),94(a,2,2))]. given #8215 (H,wt=24): 8353 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(191(a,1),8262(a,1,1))]. given #8216 (H,wt=24): 8459 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7712(a,1),8263(a,1))]. given #8217 (H,wt=24): 8460 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(8159(a,1),8263(a,1))]. given #8218 (H,wt=24): 8462 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(8285(a,1),7981(a,1,1))]. given #8219 (H,wt=24): 8591 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(6161,a,8590,a)]. given #8220 (H,wt=24): 8618 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(5995(a,1),8615(a,1,2,1))]. given #8221 (H,wt=24): 8627 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(7016(a,1),8584(a,1,1))]. given #8222 (H,wt=24): 8747 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7656(a,1),6902(a,1,1))]. given #8223 (H,wt=24): 8772 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(8758(a,1),8248(a,1,2))]. given #8224 (H,wt=24): 8834 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8831(a,1),6101(a,1,1,1,2)),flip(a)]. given #8225 (H,wt=17): 10031 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(286,a,6101,a(flip),b,8834,a),flip(a)]. given #8226 (H,wt=17): 10032 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6883(a,1),10031(a,1,2)),flip(a)]. given #8227 (H,wt=24): 9248 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5839(a,1),9236(a,1,1,2))]. given #8228 (H,wt=24): 9251 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(8816(a,1),9236(a,1,1))]. given #8229 (H,wt=19): 10036 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(9237,a,9251,a),flip(a)]. given #8230 (H,wt=19): 10037 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(108(a,1),10036(a,1,2,1)),flip(a)]. given #8231 (H,wt=17): 10038 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(286,a,9839,a(flip),b,10037,a),flip(a)]. given #8232 (H,wt=24): 9291 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9107(a,1),5854(a,1,2))]. given #8233 (H,wt=24): 9303 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7754(a,1),8213(a,1,1))]. given #8234 (H,wt=24): 9351 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(6605(a,1),9229(a,1,1))]. given #8235 (H,wt=20): 10040 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(9351,a,7103,a)]. given #8236 (H,wt=15): 10041 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9178(a,1),10040(a,1,2))]. given #8237 (H,wt=15): 10042 (x * y) / L(y,z,y) = x * a(y,z,y). [para(11(a,1),10041(a,1,1)),flip(a)]. given #8238 (H,wt=15): 10044 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [hyper(175,a,10042,a)]. given #8239 (H,wt=11): 10046 a(x,y,x) \ x = L(x,y,x). [hyper(62,a,3502,a(flip),b,10044,a)]. given #8240 (H,wt=11): 10049 L(x,y,x) \ x = a(x,y,x). [hyper(38,a,4563,a,b,10046,a)]. given #8241 (H,wt=15): 10045 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(62,a,1663,a(flip),b,10042,a)]. given #8242 (H,wt=15): 10050 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(62,a,7897,a(flip),b,10045,a)]. given #8243 (H,wt=15): 10051 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(11(a,1),10045(a,1,1)),flip(a)]. given #8244 (H,wt=15): 10054 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(62,a,1236,a,b,10050,a)]. given #8245 (H,wt=15): 10056 L(x,y,x) * (z * a(x,y,x)) = x * z. [hyper(131,a,10054,a)]. given #8246 (H,wt=15): 10057 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(10(a,1),10054(a,1,2)),flip(a)]. given #8247 (H,wt=16): 10048 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9186(a,2),10044(a,1,1))]. given #8248 (H,wt=16): 10052 (1 / L(x,y,x)) * x != z | a(x,y,x) = z. [para(10045(a,2),117(a,1)),flip(b)]. given #8249 (H,wt=19): 10053 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(62,a,8577,a,b,10050,a)]. given #8250 (H,wt=21): 10060 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10053(a,1),4644(a,1,2))]. given #8251 (H,wt=22): 10059 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(10053(a,2),42(a,1))]. given #8252 (H,wt=23): 10055 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8013(a,1),10050(a,1,2,1))]. given #8253 (H,wt=13): 10061 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(10059,a,10055,a),flip(a)]. given #8254 (H,wt=24): 9388 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(9383(a,1),4660(a,1,2,1))]. given #8255 (H,wt=19): 10063 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4862,a,9388,a),flip(a)]. given #8256 (H,wt=19): 10064 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(62,a,7797,a,b,10063,a)]. given #8257 (H,wt=24): 9414 (x * y) * K(y,T(z,x)) != u * w | u \ (K(y,z) * (x * y)) = w. [para(9361(a,2),513(a,1))]. given #8258 (H,wt=24): 9456 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9433(a,1),6058(a,1,1)),flip(a)]. given #8259 (H,wt=24): 9665 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9656(a,1),9236(a,1,1))]. given #8260 (H,wt=24): 9722 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(9715(a,2),7415(a,1,1))]. given #8261 (H,wt=24): 9757 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1238(a,1),9628(a,1,2)),flip(a)]. given #8262 (H,wt=24): 9781 L(L(K(x,y),y,z),u * y,w) = L(K(x,L(y,u,w)),L(y,u,w),v5). [para(6694(a,2),9520(a,2,1)),flip(a)]. given #8263 (H,wt=24): 9783 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z * K(y,u),w)) = v5. [para(6864(a,1),9780(a,1,2))]. given #8264 (H,wt=17): 10069 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(9783,a,9766,a)]. given #8265 (H,wt=17): 10071 K(x,L(y,z * K(u,y),w)) = K(x,L(y,z,w)). [para(6883(a,1),10069(a,1,2,2)),flip(a)]. given #8266 (H,wt=17): 10072 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7736(a,1),10069(a,1,2,2))]. given #8267 (H,wt=17): 10073 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(62,a,9773,a,b,10072,a)]. given #8268 (H,wt=20): 10070 K(x,L(y,z,u)) != w | K(x,L(y,z * K(y,v5),u)) = w. [para(9766(a,1),9783(a,1))]. given #8269 (H,wt=24): 9922 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(615(a,1),9921(a,1,2,2)),flip(a)]. given #8270 (H,wt=24): 9964 (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. [para(9963(a,2),42(a,1)),flip(a)]. given #8271 (H,wt=24): 9997 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9913(a,2),8713(a,1))]. given #8272 (H,wt=24): 10011 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7723(a,2),7725(a,1,1))]. given #8273 (H,wt=21): 10076 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4431,a,10011,a),flip(a)]. given #8274 (H,wt=24): 10012 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),7751(a,1,1))]. given #8275 (H,wt=24): 10013 L(K(T(x,y),z) * u,K(z,T(x,y)),y) = (K(z,x) * y) \ (y * u). [para(5846(a,1),7765(a,1,2,2)),flip(a)]. given #8276 (H,wt=24): 10030 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7723(a,2),8206(a,1,1))]. given #8277 (H,wt=24): 10039 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(23(a,1),9303(a,1,1,2))]. given #8278 (H,wt=24): 10066 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(286,a,9836,a(flip),b,9665,a),flip(a)]. given #8279 (H,wt=24): 10067 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(286,a,8524,a(flip),b,9665,a),flip(a)]. given #8280 (H,wt=24): 10079 L(K(x,T(y,z)) * u,K(y,T(x,z)),z) = (K(y,x) * z) \ (z * u). [para(7777(a,1),10013(a,1,1,1))]. given #8281 (H,wt=24): 10081 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [hyper(286,a,6532,a(flip),b,10039,a),flip(a)]. given #8282 (H,wt=24): 10084 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7734(a,1),10081(a,1,1))]. given #8283 (H,wt=25): 7758 K(x \ R(y / z,u,w),z \ y) = K(R(y / z,u,w) / x,z \ y). [para(5758(a,1),7729(a,1,2)),flip(a)]. given #8284 (H,wt=24): 10086 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(286,a,7581,a(flip),b,7758,a),flip(a)]. given #8285 (H,wt=23): 10087 K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). [para(197(a,1),10086(a,1,1,2))]. given #8286 (H,wt=23): 10088 K(x \ ((y * z) \ z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,9578,a,b,10087,a)]. given #8287 (H,wt=25): 7929 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [hyper(116,a,5705,a(flip),b,7923,a)]. given #8288 (H,wt=25): 8022 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7664(a,1),6282(a,2,2,2))]. given #8289 (H,wt=25): 8086 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8060(a,2),6144(a,1,1))]. given #8290 (H,wt=25): 8111 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6356(a,1),8077(a,1,2)),flip(a)]. given #8291 (H,wt=23): 10089 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8111(a,1),8086(a,1,1))]. given #8292 (H,wt=25): 8237 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8216(a,1),7130(a,1,1,2))]. given #8293 (H,wt=25): 8282 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6253(a,1),8112(a,2,2,1))]. given #8294 (H,wt=25): 8290 T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). [para(5967(a,1),8121(a,1,2))]. given #8295 (H,wt=25): 8321 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6365(a,1),8316(a,1,2,1)),flip(a)]. given #8296 (H,wt=23): 10093 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(62,a,8319,a(flip),b,8321,a)]. given #8297 (H,wt=21): 10094 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(286,a,4137,a(flip),b,10093,a),flip(a)]. given #8298 (H,wt=17): 10096 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(286,a,4369,a(flip),b,10094,a),flip(a)]. given #8299 (H,wt=25): 8346 K(L(x \ y,x,z),T(u,z * x)) != w | K((z * y) / (z * x),u) = w. [para(94(a,2),8250(a,1,1))]. given #8300 (H,wt=25): 8349 K(R(x / y,y,z),T(u,x * z)) != w | K((y * z) \ (x * z),u) = w. [para(105(a,2),8254(a,1,1))]. given #8301 (H,wt=25): 8356 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7899(a,1),6577(a,2,2))]. given #8302 (H,wt=23): 10097 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5741(a,1),8356(a,1,2)),flip(a)]. given #8303 (H,wt=25): 8598 T(K(x,y \ 1) * z,T(x \ 1,y)) = T(z * K(x,y \ 1),x \ 1). [para(8389(a,1),8387(a,1,1)),flip(a)]. given #8304 (H,wt=25): 8613 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(8524(a,2),5843(a,1,2,2))]. given #8305 (H,wt=22): 10098 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8613(a,1),5939(a,1))]. given #8306 (H,wt=25): 8623 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(25(a,2),8564(a,2,2))]. given #8307 (H,wt=25): 8686 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(81(a,1),8677(a,1,2,2))]. given #8308 (H,wt=25): 8710 K(x,K(y * z,L(u,z,y))) != w | K(x,K(y * z,y * (z * u))) = w. [para(18(a,2),8709(a,1,2,2))]. given #8309 (H,wt=25): 8736 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(8090(a,2),8679(a,1,1))]. given #8310 (H,wt=25): 8764 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(8758(a,1),5775(a,1,1))]. given #8311 (H,wt=21): 10100 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(8758(a,1),8764(a,1,2,2)),flip(a)]. given #8312 (H,wt=19): 10101 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(286,a,5775,a(flip),b,10100,a),flip(a)]. given #8313 (H,wt=25): 9016 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6782(a,1),8976(a,2,2))]. given #8314 (H,wt=25): 9075 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8057(a,1),8485(a,2,2))]. given #8315 (H,wt=25): 9093 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(3926(a,2),9091(a,2,2,1))]. given #8316 (H,wt=15): 10106 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(9092,a,9093,a),flip(a)]. given #8317 (H,wt=25): 9121 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9117(a,1),433(a,1,2,1))]. given #8318 (H,wt=25): 9122 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(9117(a,1),434(a,1,2,1))]. given #8319 (H,wt=25): 9163 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(9157(a,1),460(a,1,1))]. given #8320 (H,wt=25): 9212 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9192(a,1),18(a,2,2,2))]. given #8321 (H,wt=21): 10111 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(286,a,9161,a(flip),b,9212,a),flip(a)]. given #8322 (H,wt=16): 10113 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(286,a,9178,a(flip),b,10111,a),flip(a)]. given #8323 (H,wt=25): 9217 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7936(a,1),9216(a,1,2)),flip(a)]. given #8324 (H,wt=25): 9234 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9233(a,1),7231(a,1,1,1)),flip(a)]. given #8325 (H,wt=25): 9247 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4033(a,1),9236(a,2,2,1))]. given #8326 (H,wt=25): 9265 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(9245(a,1),7834(a,1,1))]. given #8327 (H,wt=25): 9288 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(115,a,9090,a(flip),b,5733,a),flip(a)]. given #8328 (H,wt=25): 9302 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(8026(a,2),7981(a,1))]. given #8329 (H,wt=25): 9309 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8447(a,1),8260(a,1))]. given #8330 (H,wt=19): 10117 K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8748(a,1),9309(a,1))]. given #8331 (H,wt=17): 10118 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(10117,a,9753,a),flip(a)]. given #8332 (H,wt=17): 10120 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(62,a,8929,a(flip),b,10118,a)]. given #8333 (H,wt=17): 10121 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(12(a,1),10118(a,1,2,2,2)),flip(a)]. given #8334 (H,wt=17): 10122 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(10(a,1),10120(a,1,2,2,2)),flip(a)]. given #8335 (H,wt=17): 10123 K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). [para(75(a,1),10120(a,1,2,2)),flip(a)]. given #8336 (H,wt=17): 10125 K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). [hyper(286,a,7727,a,b,10123,a),flip(a)]. given #8337 (H,wt=17): 10126 K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). [para(12(a,1),10125(a,1,2,2)),flip(a)]. given #8338 (H,wt=17): 10127 K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). [hyper(62,a,8329,a(flip),b,10126,a)]. given #8339 (H,wt=17): 10128 K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). [para(73(a,1),10127(a,1,1,2,2)),flip(a)]. given #8340 (H,wt=17): 10129 K(1 / (x / y),T(z,x)) = K(1 / (y \ x),z). [hyper(8223,a,10128,a),flip(a)]. given #8341 (H,wt=20): 10130 K(1 / (x / y),T(z,x)) != u | K(1 / (y \ x),z) = u. [para(10128(a,1),8223(a,1))]. given #8342 (H,wt=25): 9360 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(81(a,1),9355(a,1,2,2))]. given #8343 (H,wt=25): 9459 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9435(a,1),5724(a,1,2))]. given #8344 (H,wt=25): 9472 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(9320(a,1),8064(a,1))]. given #8345 (H,wt=25): 9487 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(9485(a,1),4622(a,1,1,1)),flip(a)]. given #8346 (H,wt=20): 10132 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(286,a,4622,a(flip),b,9487,a),flip(a)]. given #8347 (H,wt=20): 10133 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7736(a,1),10132(a,1,1))]. given #8348 (H,wt=17): 10134 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(334(a,1),10133(a,1,1,1,1))]. given #8349 (H,wt=19): 10135 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(6030(a,1),10134(a,1,1)),flip(a)]. given #8350 (H,wt=21): 10136 K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). [para(110(a,1),10135(a,1,1,2))]. given #8351 (H,wt=25): 9561 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9553(a,1),469(a,1,1,1)),flip(a)]. given #8352 (H,wt=17): 10137 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(7575,a,9561,a)]. given #8353 (H,wt=25): 9607 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(8927(a,2),9601(a,1,2,1))]. given #8354 (H,wt=25): 9741 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1677(a,1),9706(a,1,2)),flip(a)]. given #8355 (H,wt=23): 10139 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(286,a,3962,a(flip),b,9741,a),flip(a)]. given #8356 (H,wt=25): 9742 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1851(a,1),9706(a,1,2)),flip(a)]. given #8357 (H,wt=25): 9743 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(1132,a,9707,a),flip(a)]. given #8358 (H,wt=23): 10142 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(286,a,7908,a(flip),b,9743,a),flip(a)]. given #8359 (H,wt=22): 10143 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(62,a,8627,a(flip),b,10142,a)]. given #8360 (H,wt=21): 10144 T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. [para(10143(a,1),8699(a,1))]. given #8361 (H,wt=18): 10145 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(10144,a,9188,a),flip(a)]. given #8362 (H,wt=20): 10146 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10145(a,1),10044(a,1,1))]. given #8363 (H,wt=20): 10147 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(2804(a,1),10146(a,1,2))]. given #8364 (H,wt=20): 10148 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7811,a,10147,a)]. given #8365 (H,wt=18): 10149 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5938,a,10148,a)]. given #8366 (H,wt=18): 10150 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4490(a,1),10149(a,1,1))]. given #8367 (H,wt=18): 10151 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(62,a,2806,a(flip),b,10150,a)]. given #8368 (H,wt=22): 10152 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(9467(a,1),10151(a,1,2))]. given #8369 (H,wt=22): 10153 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7832(a,2),10152(a,1,1))]. given #8370 (H,wt=25): 9837 (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). [para(9835(a,1),6821(a,1,2,2))]. given #8371 (H,wt=19): 10154 T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). [hyper(6863,a,9837,a),flip(a)]. given #8372 (H,wt=17): 10155 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(8(a,1),10154(a,2,2,1))]. given #8373 (H,wt=25): 9840 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4669(a,1),9836(a,1,2,1)),flip(a)]. given #8374 (H,wt=25): 9841 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(9838(a,1),5843(a,1,2,2))]. given #8375 (H,wt=19): 10157 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5939,a,9841,a),flip(a)]. given #8376 (H,wt=25): 9853 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3013(a,1),9851(a,1,2,1)),flip(a)]. given #8377 (H,wt=25): 9889 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9888(a,1),43(a,1)),flip(a)]. given #8378 (H,wt=25): 9909 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9908(a,1),3959(a,1,1))]. given #8379 (H,wt=25): 9914 (K(x,y) * K(x,z)) \ K(u,u \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(9065(a,1),3553(a,1,1)),flip(a)]. given #8380 (H,wt=25): 9961 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(9959(a,1),8401(a,1,2)),flip(a)]. given #8381 (H,wt=25): 9971 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4572(a,1),9676(a,2,1)),flip(a)]. given #8382 (H,wt=21): 10159 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4578,a,9971,a),flip(a)]. given #8383 (H,wt=19): 10160 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(9614(a,1),10159(a,1,1,2))]. given #8384 (H,wt=25): 10006 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4134(a,1),10004(a,1,2,2,1))]. given #8385 (H,wt=23): 10161 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(286,a,10005,a(flip),b,10006,a),flip(a)]. given #8386 (H,wt=20): 10162 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(62,a,9330,a,b,10161,a)]. given #8387 (H,wt=22): 10163 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(76(a,1),10162(a,2,2,2,1))]. given #8388 (H,wt=25): 10065 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(10064(a,1),6604(a,1,1,2)),flip(a)]. given #8389 (H,wt=19): 10164 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(286,a,7815,a(flip),b,10065,a),flip(a)]. given #8390 (H,wt=19): 10165 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),10164(a,2,2))]. given #8391 (H,wt=19): 10166 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3948(a,2),10165(a,1,2,1)),flip(a)]. given #8392 (H,wt=25): 10092 T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). [para(7964(a,2),8290(a,2,2))]. given #8393 (H,wt=23): 10167 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [hyper(286,a,4659,a,b,10092,a),flip(a)]. given #8394 (H,wt=21): 10169 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(110(a,1),10167(a,2,2,2))]. given #8395 (H,wt=23): 10168 T(T(x,1 / (y / z)),K(z,z / y)) = x * K(x,1 / (z \ y)). [para(110(a,1),10092(a,2,2,2,2))]. given #8396 (H,wt=25): 10104 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(8935(a,1),9016(a,2,2))]. given #8397 (H,wt=25): 10105 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8060(a,1),9075(a,1,1,1))]. given #8398 (H,wt=25): 10108 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(6883(a,1),9121(a,1,1)),flip(a)]. given #8399 (H,wt=25): 10109 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(6883(a,1),9122(a,1,1)),flip(a)]. given #8400 (H,wt=25): 10110 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(9762(a,1),9163(a,1,1))]. given #8401 (H,wt=25): 10114 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(10113(a,1),325(a,1,2)),flip(a)]. given #8402 (H,wt=25): 10138 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(9655,a,9607,a)]. given #8403 (H,wt=25): 10170 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(116,a,7412,a(flip),b,10108,a)]. given #8404 (H,wt=25): 10171 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(286,a,2095,a(flip),b,10110,a),flip(a)]. given #8405 (H,wt=25): 10172 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(62,a,9855,a(flip),b,10138,a)]. given #8406 (H,wt=23): 10174 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(64(a,1),10172(a,1,2,1))]. given #8407 (H,wt=21): 10175 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(286,a,9730,a(flip),b,10174,a)]. given #8408 (H,wt=21): 10176 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(62,a,9855,a(flip),b,10175,a)]. given #8409 (H,wt=19): 10177 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(64(a,1),10176(a,1,2,1)),flip(a)]. given #8410 (H,wt=26): 7638 (x * T(K(y,z) * u,y)) \ (x * (K(y,z) * u)) = K(y,L(u,K(y,z),x)). [para(7628(a,2),7486(a,1,1,2))]. given #8411 (H,wt=16): 10178 K(x,L(y,K(x,z),u)) = K(x,K(x,z) * y). [hyper(6627,a,7638,a),flip(a)]. given #8412 (H,wt=26): 7977 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1231(a,1),7719(a,1,2,2))]. given #8413 (H,wt=25): 10179 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(9757(a,2),7977(a,1))]. given #8414 (H,wt=16): 10180 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10179,a,10137,a)]. given #8415 (H,wt=16): 10181 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(10(a,1),10180(a,1,2,2)),flip(a)]. given #8416 (H,wt=17): 10182 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(9486(a,1),10180(a,1,2))]. given #8417 (H,wt=17): 10184 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8786(a,1),10182(a,1,2))]. given #8418 (H,wt=17): 10185 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(9396,a,10184,a),flip(a)]. given #8419 (H,wt=19): 10183 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),10182(a,1,2,2,2))]. given #8420 (H,wt=17): 10188 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(9396,a,10183,a),flip(a)]. given #8421 (H,wt=17): 10189 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),10188(a,1,2,2)),flip(a)]. given #8422 (H,wt=17): 10190 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(62,a,9427,a,b,10189,a)]. given #8423 (H,wt=17): 10191 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(62,a,9860,a(flip),b,10190,a)]. given #8424 (H,wt=19): 10187 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(62,a,8906,a,b,10185,a)]. given #8425 (H,wt=19): 10192 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(62,a,9721,a(flip),b,10191,a),flip(a)]. given #8426 (H,wt=17): 10193 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9380,a,10192,a),flip(a)]. given #8427 (H,wt=20): 10186 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(10184(a,1),9396(a,1))]. given #8428 (H,wt=26): 8000 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7998(a,1),5718(a,1,2,2))]. given #8429 (H,wt=22): 10195 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8833(a,1),8000(a,1,1))]. given #8430 (H,wt=18): 10196 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(8754(a,1),10195(a,1,2)),flip(a)]. given #8431 (H,wt=13): 10198 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(286,a,5718,a(flip),b,10196,a),flip(a)]. given #8432 (H,wt=13): 10201 L(x,T(y,K(x,z)),x) = L(x,y,x). [para(8073(a,1),10198(a,1,2))]. given #8433 (H,wt=15): 10200 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5741(a,1),10198(a,1,2))]. given #8434 (H,wt=26): 8204 (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,T(u,y)),y). [para(8146(a,1),14(a,2,1,2)),flip(a)]. given #8435 (H,wt=26): 8218 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),8165(a,1,1)),flip(a)]. given #8436 (H,wt=26): 8224 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(14(a,2),8169(a,1,2,1)),flip(a)]. given #8437 (H,wt=26): 8565 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(7889(a,1),217(a,2)),flip(a)]. given #8438 (H,wt=26): 9127 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(9126(a,1),261(a,1,2))]. given #8439 (H,wt=26): 9219 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ ((y \ z) \ 1)). [para(6717(a,1),9214(a,1,2))]. given #8440 (H,wt=26): 9224 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(9153(a,1),217(a,2))]. given #8441 (H,wt=26): 9340 K((T(x,y) * z) \ ((x * y) * z),u) = K(R(y,T(x,y),z),T(u,x * z)). [para(8789(a,2),7792(a,1,1))]. given #8442 (H,wt=26): 9406 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9401(a,1),8971(a,1))]. given #8443 (H,wt=26): 9642 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9641(a,2),7768(a,1,1))]. given #8444 (H,wt=19): 10205 K(x,T((y / z) \ x,u)) = K(x,T(z / (x \ y),u)). [hyper(9642,a,9727,a),flip(a)]. given #8445 (H,wt=21): 10206 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10205(a,2),4659(a,2,2)),flip(a)]. given #8446 (H,wt=22): 10207 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10206(a,1),4663(a,1))]. given #8447 (H,wt=17): 10208 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(10207,a,9581,a)]. given #8448 (H,wt=17): 10209 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(73(a,1),10208(a,1,2,1,1)),flip(a)]. given #8449 (H,wt=26): 9669 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(9666(a,1),4622(a,1,1,1)),flip(a)]. given #8450 (H,wt=21): 10210 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(286,a,4622,a(flip),b,9669,a),flip(a)]. given #8451 (H,wt=21): 10211 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(9(a,1),10210(a,1,1,2,1))]. given #8452 (H,wt=26): 9672 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9667(a,1),4660(a,1,2,1))]. given #8453 (H,wt=24): 10212 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9672(a,1),4862(a,1))]. given #8454 (H,wt=26): 9673 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9670(a,1),4622(a,1,1,1))]. given #8455 (H,wt=21): 10213 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4859,a,9673,a),flip(a)]. given #8456 (H,wt=24): 10214 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(9673(a,1),4859(a,1))]. given #8457 (H,wt=26): 9785 K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) = u * T(L(u,w,v5) \ 1,u). [para(9784(a,1),2191(a,1,1))]. given #8458 (H,wt=26): 9826 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9610(a,1),8032(a,1,1)),flip(a)]. given #8459 (H,wt=26): 9861 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4078(a,2),9859(a,1,2,1)),flip(a)]. given #8460 (H,wt=26): 9864 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7787(a,2),7981(a,1))]. given #8461 (H,wt=26): 9942 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9941(a,1),5987(a,1,2,1,2))]. given #8462 (H,wt=20): 10217 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(6159,a,9942,a),flip(a)]. given #8463 (H,wt=21): 10218 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(4914(a,1),10217(a,1,1,1))]. given #8464 (H,wt=21): 10219 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(286,a,9684,a(flip),b,10218,a),flip(a)]. given #8465 (H,wt=19): 10220 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(62,a,9890,a(flip),b,10219,a),flip(a)]. given #8466 (H,wt=17): 10221 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8250,a,10220,a),flip(a)]. given #8467 (H,wt=17): 10222 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(286,a,7497,a,b,10221,a),flip(a)]. given #8468 (H,wt=17): 10223 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(9(a,1),10222(a,1,1,1)),flip(a)]. given #8469 (H,wt=17): 10224 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(11(a,1),10223(a,1,1,1)),flip(a)]. given #8470 (H,wt=21): 10225 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [para(4893(a,1),10224(a,1,1,2,2,1))]. given #8471 (H,wt=21): 10226 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(62,a,10088,a,b,10225,a)]. given #8472 (H,wt=26): 9962 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(9632(a,1),42(a,1)),flip(a)]. given #8473 (H,wt=26): 10080 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(10030(a,1),7392(a,1,1)),flip(a)]. given #8474 (H,wt=26): 10085 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9470(a,1),10084(a,1,1,1))]. given #8475 (H,wt=22): 10229 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8144(a,1),10085(a,1,1)),flip(a)]. given #8476 (H,wt=22): 10230 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(129,a,10229,a)]. given #8477 (H,wt=26): 10091 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(10089(a,1),5850(a,1,2))]. given #8478 (H,wt=26): 10116 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(9265(a,1),7835(a,1))]. given #8479 (H,wt=26): 10124 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(10122(a,1),8246(a,1))]. given #8480 (H,wt=26): 10173 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [para(9133(a,1),10171(a,1,1))]. given #8481 (H,wt=21): 10233 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(6908,a,10173,a)]. given #8482 (H,wt=21): 10234 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6883(a,1),10233(a,1,2)),flip(a)]. given #8483 (H,wt=10): 10235 T(x,a(y,z,K(x,u))) = x. [para(10234(a,1),8763(a,1,2))]. given #8484 (H,wt=17): 10236 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9129(a,1),10234(a,1,2))]. given #8485 (H,wt=17): 10237 a(x,y,K(z,u)) * z = z * a(x,y,K(z,u)). [para(10235(a,1),108(a,1,2))]. given #8486 (H,wt=17): 10239 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(9763,a,10236,a)]. given #8487 (H,wt=17): 10240 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5934,a,10236,a)]. given #8488 (H,wt=17): 10241 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5851,a,10236,a)]. given #8489 (H,wt=17): 10242 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2097,a,10236,a)]. given #8490 (H,wt=17): 10248 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(4564,a,10239,a)]. given #8491 (H,wt=17): 10249 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(33,a,9491,a,b,10242,a)]. given #8492 (H,wt=19): 10244 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7083(a,1),10236(a,1,2))]. given #8493 (H,wt=19): 10251 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(9498(a,1),10242(a,1,1))]. given #8494 (H,wt=20): 10243 a(x,y,K(z,u)) != K(z,u) * w | L(K(u,z),y,x) = w. [para(10236(a,1),42(a,1))]. given #8495 (H,wt=20): 10250 a(x,y,K(z,u)) != w * K(z,u) | L(K(u,z),y,x) = w. [para(10242(a,1),43(a,1))]. given #8496 (H,wt=21): 10238 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10235(a,1),7736(a,1,2,2)),flip(a)]. given #8497 (H,wt=21): 10245 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10236(a,1),7469(a,1,1)),flip(a)]. given #8498 (H,wt=21): 10256 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(9491(a,1),10245(a,1,2)),flip(a)]. given #8499 (H,wt=21): 10257 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(115,a,5846,a(flip),b,10256,a),flip(a)]. given #8500 (H,wt=23): 10247 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(9473(a,1),10236(a,1,2))]. given #8501 (H,wt=23): 10255 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(9765(a,1),10251(a,1,1)),flip(a)]. given #8502 (H,wt=19): 10259 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(286,a,10242,a(flip),b,10255,a),flip(a)]. given #8503 (H,wt=17): 10260 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(6603(a,1),10259(a,1,2))]. given #8504 (H,wt=24): 10252 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(9987(a,1),10248(a,1,1))]. given #8505 (H,wt=24): 10262 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5865,a,10252,a)]. given #8506 (H,wt=18): 10263 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(34,a,10242,a,b,10262,a)]. given #8507 (H,wt=18): 10264 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5991(a,2),10263(a,1,1))]. given #8508 (H,wt=23): 10266 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(424(a,1),10264(a,2,2))]. given #8509 (H,wt=20): 10267 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(286,a,7088,a(flip),b,10266,a),flip(a)]. given #8510 (H,wt=26): 10202 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3565(a,2),8218(a,1,1))]. given #8511 (H,wt=26): 10204 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(9865(a,2),9127(a,1))]. given #8512 (H,wt=25): 10271 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(10204,a,8237,a)]. given #8513 (H,wt=23): 10272 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8236(a,1),10271(a,1,2)),flip(a)]. given #8514 (H,wt=21): 10273 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7253(a,1),10272(a,2,2))]. given #8515 (H,wt=26): 10216 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(286,a,8057,a(flip),b,9826,a),flip(a)]. given #8516 (H,wt=26): 10228 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7909(a,1),10080(a,1,1))]. given #8517 (H,wt=25): 10275 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(62,a,10030,a(flip),b,10228,a),flip(a)]. given #8518 (H,wt=25): 10276 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7279(a,2),10275(a,1,1))]. given #8519 (H,wt=26): 10274 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8097,a,10216,a)]. given #8520 (H,wt=26): 10277 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(10276(a,1),4783(a,1))]. given #8521 (H,wt=27): 7641 T(x * K(y,z \ 1),y \ 1) * (y \ 1) = T(x,y \ 1) * T(y \ 1,z). [para(6458(a,1),7611(a,1,1,1,2))]. given #8522 (H,wt=27): 7642 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5833(a,1),7619(a,1,1,1)),flip(a)]. given #8523 (H,wt=27): 7745 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7723(a,2),6180(a,1,1))]. given #8524 (H,wt=27): 7855 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7842(a,1),493(a,1,1))]. given #8525 (H,wt=27): 7873 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(7676(a,1),382(a,1,1))]. given #8526 (H,wt=27): 7917 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(7390(a,1),7866(a,2,1))]. given #8527 (H,wt=23): 10282 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(7387(a,1),7917(a,1,2)),flip(a)]. given #8528 (H,wt=23): 10283 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(286,a,2956,a,b,10282,a),flip(a)]. given #8529 (H,wt=27): 7957 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(7953(a,1),4802(a,1,2,1))]. given #8530 (H,wt=27): 8294 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8145(a,2),6623(a,2,2,1)),flip(a)]. given #8531 (H,wt=27): 8494 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(8490(a,1),3799(a,2,3))]. given #8532 (H,wt=27): 8718 K(x,((y * z) / y) \ u) * K(x,K(z,T(u,y))) = K(x,u / ((y * z) / y)). [para(8166(a,1),8683(a,1,2,2))]. given #8533 (H,wt=27): 8788 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8770(a,1),8161(a,1,1,1,2))]. given #8534 (H,wt=27): 8908 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2681(a,1),8869(a,2,1))]. given #8535 (H,wt=23): 10287 K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). [para(6654(a,1),8908(a,1,1))]. given #8536 (H,wt=23): 10288 K((x \ y) / (1 / x),1 / x) = K((y / x) / (x \ 1),1 / x). [hyper(62,a,5809,a(flip),b,10287,a)]. given #8537 (H,wt=23): 10289 K((x \ y) / (1 / x),1 / x) = K((y / x) / (1 / x),1 / x). [hyper(286,a,5809,a(flip),b,10288,a),flip(a)]. given #8538 (H,wt=27): 8957 T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). [para(8949(a,2),6187(a,1,1))]. given #8539 (H,wt=27): 8969 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). [para(4635(a,1),8931(a,1,2,1,2)),flip(a)]. given #8540 (H,wt=25): 10292 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z / x,u),y)). [hyper(286,a,8183,a(flip),b,8969,a),flip(a)]. given #8541 (H,wt=27): 9063 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9062(a,1),7569(a,2,2,2))]. given #8542 (H,wt=25): 10294 L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(7249(a,1),9063(a,1,2,2))]. given #8543 (H,wt=27): 9164 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9162(a,1),814(a,1,1)),flip(a)]. given #8544 (H,wt=23): 10295 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7992(a,1),9164(a,1,2)),flip(a)]. given #8545 (H,wt=27): 9204 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9186(a,2),209(a,1,2,2))]. given #8546 (H,wt=27): 9295 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(6152(a,1),9290(a,1,2,1,2,2)),flip(a)]. given #8547 (H,wt=17): 10298 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(286,a,9290,a(flip),b,9295,a),flip(a)]. given #8548 (H,wt=17): 10299 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(76(a,1),10298(a,1,2,1,1)),flip(a)]. given #8549 (H,wt=21): 10300 x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x. [para(10299(a,1),9106(a,1,1)),flip(a)]. given #8550 (H,wt=17): 10301 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(33,a,8970,a(flip),b,10300,a),flip(a)]. given #8551 (H,wt=17): 10302 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6483,a,10301,a)]. given #8552 (H,wt=17): 10303 K(x,T(1 / (y \ x),z)) = K(x,T(y / x,z)). [hyper(286,a,4789,a(flip),b,10302,a),flip(a)]. given #8553 (H,wt=19): 10305 K(x,K(y,z)) * K(y,x / y) = K(y,T(x / y,z)). [hyper(62,a,9899,a,b,10303,a)]. given #8554 (H,wt=20): 10304 K(x,T(1 / (y \ x),z)) != u | K(x,T(y / x,z)) = u. [para(10302(a,2),4874(a,1))]. given #8555 (H,wt=27): 9692 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(430(a,1),9591(a,2,1))]. given #8556 (H,wt=24): 10306 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(286,a,9511,a(flip),b,9692,a),flip(a)]. given #8557 (H,wt=24): 10307 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(9988,a,10306,a)]. given #8558 (H,wt=27): 9815 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(76(a,1),9814(a,2,2))]. given #8559 (H,wt=27): 9872 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6555(a,2),9871(a,1,2,1))]. given #8560 (H,wt=25): 10309 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3913(a,1),9872(a,1,1))]. given #8561 (H,wt=23): 10310 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(286,a,9325,a(flip),b,10309,a),flip(a)]. given #8562 (H,wt=21): 10311 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(62,a,10038,a(flip),b,10310,a)]. given #8563 (H,wt=19): 10312 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(8262,a,10311,a)]. given #8564 (H,wt=17): 10313 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(9712,a,10312,a),flip(a)]. given #8565 (H,wt=20): 10314 K(x,y / ((x \ 1) * z)) != u | K(x,y / (x \ z)) = u. [para(10312(a,1),9712(a,1))]. given #8566 (H,wt=26): 10316 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(62,a,8179,a(flip),b,10313,a),flip(a)]. given #8567 (H,wt=22): 10317 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(286,a,2936,a(flip),b,10316,a),flip(a)]. given #8568 (H,wt=22): 10318 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(9716,a,10317,a)]. given #8569 (H,wt=27): 9895 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(7896(a,1),8583(a,1,1,2))]. given #8570 (H,wt=27): 9925 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5839(a,1),9237(a,1,1,2))]. given #8571 (H,wt=27): 10047 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(829(a,1),10044(a,1,2))]. given #8572 (H,wt=23): 10320 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10061(a,1),10047(a,1,1,2))]. given #8573 (H,wt=27): 10083 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(10081(a,2),6575(a,1))]. given #8574 (H,wt=27): 10107 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5777(a,1),10106(a,1,1,1))]. given #8575 (H,wt=25): 10322 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8316(a,1),10107(a,2,1,2))]. given #8576 (H,wt=27): 10140 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),10139(a,1,1,2,1)),flip(a)]. given #8577 (H,wt=23): 10323 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),10140(a,1,1,2,1)),flip(a)]. given #8578 (H,wt=27): 10141 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(286,a,3961,a(flip),b,9742,a),flip(a)]. given #8579 (H,wt=23): 10324 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),10141(a,1,1,2,1))]. given #8580 (H,wt=27): 10156 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5900(a,2),9840(a,1,2,1,1))]. given #8581 (H,wt=27): 10215 K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) != v6 | (L(u,w,v5) \ 1) * u = v6. [para(9785(a,2),262(a,1))]. given #8582 (H,wt=19): 10326 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(10215,a,6321,a),flip(a)]. given #8583 (H,wt=19): 10327 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(175,a,10326,a)]. given #8584 (H,wt=19): 10328 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(10327(a,1),7539(a,1,1))]. given #8585 (H,wt=27): 10254 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10244(a,1),6044(a,2,2))]. given #8586 (H,wt=25): 10330 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7840,a,10254,a)]. given #8587 (H,wt=23): 10331 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(166(a,1),10330(a,1,2,2))]. given #8588 (H,wt=27): 10279 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(6675(a,2),7642(a,2,1))]. given #8589 (H,wt=27): 10281 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1141(a,1),7855(a,1,2)),flip(a)]. given #8590 (H,wt=27): 10284 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8514,a,7957,a)]. given #8591 (H,wt=27): 10285 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(286,a,7156,a,b,8294,a),flip(a)]. given #8592 (H,wt=23): 10334 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4231(a,1),10285(a,2,1))]. given #8593 (H,wt=23): 10335 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(7011(a,1),10334(a,1,2))]. given #8594 (H,wt=27): 10286 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3102(a,1),8494(a,1,3))]. given #8595 (H,wt=23): 10336 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(8946(a,1),10286(a,1,3,2))]. given #8596 (H,wt=27): 10290 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10289(a,2),4701(a,2,2))]. given #8597 (H,wt=27): 10297 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1548(a,2),9204(a,1,2,2))]. given #8598 (H,wt=25): 10337 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(108(a,1),10297(a,1,2)),flip(a)]. given #8599 (H,wt=27): 10325 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(6485,a,10156,a)]. given #8600 (H,wt=27): 10332 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(62,a,7636,a,b,10281,a)]. given #8601 (H,wt=25): 10338 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(7637,a,10332,a)]. given #8602 (H,wt=27): 10333 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(7723(a,2),10284(a,1,2,1))]. given #8603 (H,wt=28): 7954 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(7953(a,1),458(a,1,2)),flip(a)]. given #8604 (H,wt=26): 10339 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7953(a,1),7954(a,1,3)),flip(a)]. given #8605 (H,wt=28): 8067 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8056(a,1),5782(a,1,2))]. given #8606 (H,wt=28): 8306 (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). [para(210(a,1),8197(a,1,1,2)),flip(a)]. given #8607 (H,wt=24): 10341 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * (y * z)) / (u * z)). [hyper(33,a,7767,a,b,8306,a)]. given #8608 (H,wt=28): 8350 K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. [para(5758(a,1),8254(a,1,2))]. given #8609 (H,wt=28): 8436 K(x,K(y,((z \ 1) * u) * (w \ 1))) != v5 | K(x,K(y,w * ((u \ 1) * z))) = v5. [para(6419(a,1),8384(a,1,2,2))]. given #8610 (H,wt=28): 8588 K(x,L(T(y,z),u,w / (u * y))) * z = z * K(x,((w / (u * y)) * u) \ w). [para(97(a,1),8148(a,2,2,2))]. given #8611 (H,wt=26): 10342 x * K(y,L(z,u,w / (u * z))) = x * K(y,((w / (u * z)) * u) \ w). [hyper(8340,a,8588,a)]. given #8612 (H,wt=28): 8712 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(172(a,1),8711(a,1,2,2))]. given #8613 (H,wt=28): 9103 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7417(a,1),9098(a,1,2)),flip(a)]. given #8614 (H,wt=28): 9147 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(9146(a,1),6097(a,1,2,1,2)),flip(a)]. given #8615 (H,wt=21): 10344 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(286,a,6097,a(flip),b,9147,a),flip(a)]. given #8616 (H,wt=28): 9148 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(9146(a,1),6099(a,1,2,1,2)),flip(a)]. given #8617 (H,wt=21): 10345 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(286,a,6099,a(flip),b,9148,a),flip(a)]. given #8618 (H,wt=17): 10346 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4740(a,1),10345(a,1,1)),flip(a)]. given #8619 (H,wt=28): 9213 (x * K(y,y * z)) \ (x * K(y,z)) != u | L(a(y,z,y),K(y,y * z),x) = u. [para(9192(a,1),439(a,1,2,2))]. given #8620 (H,wt=28): 9238 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(116,a,9142,a(flip),b,8153,a),flip(a)]. given #8621 (H,wt=28): 9250 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(8524(a,2),9236(a,1,1))]. given #8622 (H,wt=28): 9550 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9506(a,1),6095(a,1,1,1,2))]. given #8623 (H,wt=21): 10348 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(6311,a,9550,a),flip(a)]. given #8624 (H,wt=24): 10349 K((x \ y) \ z,L(x,u,w)) != v5 | K(y \ (x * z),L(x,u,w)) = v5. [para(9550(a,1),6311(a,1))]. given #8625 (H,wt=28): 9584 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9544(a,1),6095(a,1,1,1,2))]. given #8626 (H,wt=21): 10350 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(6311,a,9584,a),flip(a)]. given #8627 (H,wt=24): 10351 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(94(a,2),10350(a,1,1))]. given #8628 (H,wt=28): 9842 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9838(a,1),9236(a,1,1))]. given #8629 (H,wt=23): 10352 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(62,a,10066,a(flip),b,9842,a),flip(a)]. given #8630 (H,wt=28): 9995 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(286,a,6358,a(flip),b,9994,a),flip(a)]. given #8631 (H,wt=28): 10058 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8145(a,1),10048(a,1,2))]. given #8632 (H,wt=28): 10068 L(K(x,L(y,z,u)),L(y,z,u),w) = (u * (z * y)) \ (u * (z * (y * K(x,y)))). [hyper(62,a,430,a,b,9781,a),flip(a)]. given #8633 (H,wt=28): 10090 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(10089(a,1),106(a,1,1,1)),flip(a)]. given #8634 (H,wt=24): 10356 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(286,a,146,a(flip),b,10090,a),flip(a)]. given #8635 (H,wt=22): 10357 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(286,a,4652,a,b,10356,a),flip(a)]. given #8636 (H,wt=22): 10359 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(286,a,8056,a,b,10357,a),flip(a)]. given #8637 (H,wt=28): 10099 K(x * T(y,z),T(x,u)) != K(x,K(y,T(u,z))) * w | K(x * T(y,z),x) = w. [para(8736(a,1),42(a,1))]. given #8638 (H,wt=28): 10103 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,6376,a(flip),b,10101,a),flip(a)]. given #8639 (H,wt=24): 10360 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8877(a,1),10103(a,1,1,2))]. given #8640 (H,wt=19): 10361 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(62,a,6376,a(flip),b,10360,a),flip(a)]. given #8641 (H,wt=19): 10364 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7803(a,1),10361(a,1,2)),flip(a)]. given #8642 (H,wt=25): 10365 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(8317(a,1),10364(a,1,2))]. given #8643 (H,wt=28): 10115 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9217(a,2),43(a,1))]. given #8644 (H,wt=28): 10232 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(9(a,1),10230(a,1,1,1,1))]. given #8645 (H,wt=24): 10366 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9(a,1),10232(a,2,2,1,1))]. given #8646 (H,wt=27): 10367 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10366(a,1),227(a,1,1)),flip(b)]. given #8647 (H,wt=28): 10293 K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. [para(8969(a,2),8339(a,1))]. given #8648 (H,wt=28): 10319 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(286,a,9879,a,b,10318,a)]. given #8649 (H,wt=26): 10369 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9262(a,1),10319(a,1,1))]. given #8650 (H,wt=18): 10370 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(10(a,1),10369(a,2,2,1,2,1))]. given #8651 (H,wt=19): 10371 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(286,a,6335,a,b,10370,a)]. given #8652 (H,wt=28): 10343 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8109,a,9103,a)]. given #8653 (H,wt=28): 10347 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7723(a,2),9238(a,1,1))]. given #8654 (H,wt=24): 10374 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8917(a,1),10347(a,1,1))]. given #8655 (H,wt=23): 10375 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(10083,a,10374,a)]. given #8656 (H,wt=23): 10377 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(6572,a,10375,a(flip)),flip(a)]. given #8657 (H,wt=23): 10379 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(62,a,6532,a(flip),b,10377,a),flip(a)]. given #8658 (H,wt=26): 10378 K((x * y) / (x * (z \ y)),u) != w | K(z,(x * y) / (x * (u \ y))) = w. [para(10375(a,2),6572(a,1))]. given #8659 (H,wt=27): 10380 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10379(a,2),10367(a,1))]. given #8660 (H,wt=28): 10353 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1118(a,1),9995(a,1,2,1))]. given #8661 (H,wt=23): 10381 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(162(a,1),10353(a,1,2,2))]. given #8662 (H,wt=28): 10354 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8304(a,2),10058(a,1,1))]. given #8663 (H,wt=28): 10382 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8145(a,1),10354(a,1,1,2,1))]. given #8664 (H,wt=29): 7997 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4816(a,2),7988(a,1,1))]. given #8665 (H,wt=29): 8187 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(8155(a,1),6573(a,1,1))]. given #8666 (H,wt=25): 10383 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8155(a,1),8187(a,1,2,2,1))]. given #8667 (H,wt=29): 8354 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3672(a,1),7831(a,1,2))]. given #8668 (H,wt=25): 10385 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(9409(a,1),8354(a,1,1)),flip(a)]. given #8669 (H,wt=23): 10386 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(286,a,7834,a(flip),b,10385,a),flip(a)]. given #8670 (H,wt=17): 10387 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3672(a,1),10386(a,1,1)),flip(a)]. given #8671 (H,wt=21): 10388 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(10116,a,10387,a)]. given #8672 (H,wt=29): 8406 x * (y \ ((K(z,u) \ (y * (x \ 1))) * K(z,u))) = K(z,K(u,x * (y \ K(z,u)))). [hyper(62,a,6245,a,b,8381,a)]. given #8673 (H,wt=25): 10389 K(x,K(y,z * (u \ K(x,y)))) = z * (u \ T(u * (z \ 1),K(x,y))). [para(7896(a,1),8406(a,1,2,2)),flip(a)]. given #8674 (H,wt=23): 10390 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(z,u)))). [hyper(286,a,6244,a(flip),b,10389,a)]. given #8675 (H,wt=21): 10391 K(x,K(y,z * (u \ K(x,y)))) = K(x,K(y,z * (u \ 1))). [hyper(8392,a,10390,a),flip(a)]. given #8676 (H,wt=24): 10392 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(8806(a,1),10391(a,1,2))]. given #8677 (H,wt=23): 10393 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(458(a,1),10392(a,2,2,2))]. given #8678 (H,wt=23): 10394 K(x,K(y,R(z,u,u \ K(z,x)))) = K(z,K(x,R(y,u,u \ 1))). [hyper(62,a,9099,a,b,10393,a)]. given #8679 (H,wt=23): 10395 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(z,R(y,u,u \ 1))). [hyper(286,a,8056,a,b,10394,a),flip(a)]. given #8680 (H,wt=29): 8578 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4390(a,1),7922(a,1,1))]. given #8681 (H,wt=27): 10396 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(118,a,8578,a),flip(a)]. given #8682 (H,wt=23): 10397 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4387(a,1),10396(a,1,1)),flip(a)]. given #8683 (H,wt=29): 8630 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6154(a,1),8629(a,1,2,1)),flip(a)]. given #8684 (H,wt=27): 10399 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(286,a,8629,a(flip),b,8630,a),flip(a)]. given #8685 (H,wt=23): 10400 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(73(a,1),10399(a,1,1,2,1,2,1))]. given #8686 (H,wt=21): 10401 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8650,a(flip),b,10400,a)]. given #8687 (H,wt=17): 10403 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8303,a(flip),b,10401,a)]. given #8688 (H,wt=29): 9166 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(25(a,2),9158(a,1,2,2))]. given #8689 (H,wt=29): 9289 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9090(a,1),7681(a,1,1,2)),flip(a)]. given #8690 (H,wt=27): 10404 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(215(a,1),9289(a,2,1))]. given #8691 (H,wt=23): 10405 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(62,a,9088,a(flip),b,10404,a),flip(a)]. given #8692 (H,wt=29): 9489 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(9478(a,1),6096(a,1,1,1,2)),flip(a)]. given #8693 (H,wt=22): 10406 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(286,a,6096,a(flip),b,9489,a),flip(a)]. given #8694 (H,wt=29): 9823 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(62,a,9158,a,b,9457,a)]. given #8695 (H,wt=27): 10407 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1675(a,1),9823(a,1,2))]. given #8696 (H,wt=17): 10408 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(655,a,10407,a),flip(a)]. given #8697 (H,wt=20): 10409 x \ R(x,y,L(x,z,u)) != w | a(x,y,L(x,z,u)) = w. [para(10407(a,1),655(a,1))]. given #8698 (H,wt=20): 10410 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9459,a,10408,a)]. given #8699 (H,wt=20): 10412 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10408(a,1),9824(a,1,2))]. given #8700 (H,wt=26): 10411 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7197(a,1),10408(a,1,2)),flip(a)]. given #8701 (H,wt=29): 10010 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(6258(a,1),9989(a,1,2)),flip(a)]. given #8702 (H,wt=25): 10413 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(1484,a,10010,a)]. given #8703 (H,wt=23): 10414 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8521(a,2),10413(a,1,1))]. given #8704 (H,wt=19): 10415 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(76(a,1),10414(a,1,1,2,1))]. given #8705 (H,wt=10): 10416 L(x,K(y,z),K(z,u)) = x. [hyper(435,a,10415,a)]. given #8706 (H,wt=12): 10428 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7754(a,1),10416(a,1,2))]. given #8707 (H,wt=13): 10427 L(x,K(y,z),K(z,u)) != w | x = w. [para(10416(a,1),49(a,2))]. given #8708 (H,wt=18): 10425 L(K(x,y) \ z,K(u,w),K(w,v5)) = K(y,x) * z. [hyper(286,a,5839,a(flip),b,10416,a),flip(a)]. given #8709 (H,wt=19): 10421 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2093(a,1),10415(a,1,1))]. given #8710 (H,wt=19): 10426 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(62,a,6304,a(flip),b,10416,a)]. given #8711 (H,wt=20): 10422 K(x,y) * (K(x * y,x) * z) = (x \ R(x,y,x)) * z. [para(5942(a,1),10415(a,1,1)),flip(a)]. given #8712 (H,wt=20): 10430 (x \ R(x,y,x)) \ (K(x,y) * z) = K(x,x * y) * z. [hyper(62,a,6081,a(flip),b,10425,a)]. given #8713 (H,wt=21): 10417 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(216,a,10415,a,b,10,a),flip(a)]. given #8714 (H,wt=22): 10431 T(x,y) * (K(x * y,x) * z) = x * ((x \ R(x,y,x)) * z). [para(10422(a,1),4638(a,1,2)),flip(a)]. given #8715 (H,wt=17): 10435 x * ((x \ R(x,y,x)) * z) = R(x,y,x) * z. [hyper(62,a,6276,a(flip),b,10431,a),flip(a)]. given #8716 (H,wt=15): 10437 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9175(a,1),10435(a,1,2,1))]. given #8717 (H,wt=15): 10438 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(115,a,10,a(flip),b,10437,a),flip(a)]. given #8718 (H,wt=17): 10436 (x \ R(x,y,x)) \ z = R(x,y,x) \ (x * z). [hyper(546,a,10435,a),flip(a)]. given #8719 (H,wt=18): 10439 R(x,y,x) * z != x * u | a(x,y,x) * z = u. [para(10437(a,1),42(a,1))]. given #8720 (H,wt=23): 10429 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1145,a,10428,a),flip(a)]. given #8721 (H,wt=24): 10418 K(x,y) * (K(z,x) * u) != u * w | T(K(x,y) * K(z,x),u) = w. [para(10415(a,1),217(a,2)),flip(a)]. given #8722 (H,wt=24): 10419 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10415(a,1),304(a,1,2))]. given #8723 (H,wt=24): 10423 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10415(a,1),7393(a,1,2))]. given #8724 (H,wt=12): 10441 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5854,a,10423,a),flip(a)]. given #8725 (H,wt=24): 10440 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(10295(a,1),10419(a,1))]. given #8726 (H,wt=25): 10424 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10415(a,1),9234(a,1,1,1))]. given #8727 (H,wt=23): 10443 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(6438(a,1),10424(a,2,1))]. given #8728 (H,wt=25): 10434 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5846(a,1),10417(a,1,2,2)),flip(a)]. given #8729 (H,wt=29): 10253 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(7076(a,1),10249(a,1,1))]. given #8730 (H,wt=29): 10291 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7846(a,1),8957(a,2,2))]. given #8731 (H,wt=21): 10444 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(286,a,9,a(flip),b,10291,a),flip(a)]. given #8732 (H,wt=21): 10446 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(131,a,10444,a)]. given #8733 (H,wt=21): 10447 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(10446(a,1),7356(a,1,2))]. given #8734 (H,wt=29): 10340 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(10339(a,1),43(a,1))]. given #8735 (H,wt=18): 10448 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9162(a,1),10340(a,1)),flip(a)]. given #8736 (H,wt=30): 7898 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),7695(a,1,1))]. given #8737 (H,wt=30): 8208 (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(8146(a,1),5872(a,1,1,3)),flip(a)]. given #8738 (H,wt=30): 8368 R((x / (y * z)) / K(u,K(w,y)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8085(a,1),478(a,2,2))]. given #8739 (H,wt=30): 9074 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(286,a,8896,a(flip),b,8461,a),flip(a)]. given #8740 (H,wt=30): 9167 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1844(a,1),9158(a,1,2))]. given #8741 (H,wt=20): 10453 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(655,a,9167,a),flip(a)]. given #8742 (H,wt=17): 10455 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(62,a,9455,a(flip),b,10453,a)]. given #8743 (H,wt=17): 10459 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(131,a,10455,a)]. given #8744 (H,wt=19): 10460 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10455(a,1),6203(a,1,1)),flip(a)]. given #8745 (H,wt=20): 10456 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10453(a,1),6897(a,1,1))]. given #8746 (H,wt=20): 10463 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10459(a,1),301(a,1,2)),flip(b)]. given #8747 (H,wt=23): 10454 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(9167(a,1),655(a,1))]. given #8748 (H,wt=23): 10461 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10455(a,1),9288(a,1,2)),flip(a)]. given #8749 (H,wt=21): 10466 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5836,a,10461,a)]. given #8750 (H,wt=21): 10467 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(5834,a,10461,a)]. given #8751 (H,wt=25): 10465 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),10456(a,1,2,2))]. given #8752 (H,wt=25): 10468 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,937,a(flip),b,10466,a)]. given #8753 (H,wt=28): 10457 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(10453(a,1),8584(a,1,1)),flip(a)]. given #8754 (H,wt=29): 10462 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(10365(a,2),10455(a,1,2))]. given #8755 (H,wt=25): 10469 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(10463,a,10462,a)]. given #8756 (H,wt=21): 10470 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,7599,a(flip),b,10469,a),flip(a)]. given #8757 (H,wt=17): 10471 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4268,a,10470,a)]. given #8758 (H,wt=29): 10464 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(4267(a,1),10460(a,2,1))]. given #8759 (H,wt=27): 10472 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(10365(a,1),10464(a,1,1))]. given #8760 (H,wt=25): 10473 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10471(a,1),10472(a,2,1))]. given #8761 (H,wt=23): 10474 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(62,a,10460,a(flip),b,10473,a)]. given #8762 (H,wt=30): 9215 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9200(a,1),828(a,1,1,2))]. given #8763 (H,wt=28): 10475 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3913(a,1),9215(a,1,1)),flip(a)]. given #8764 (H,wt=30): 9223 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(216,a,9153,a,b,578,a)]. given #8765 (H,wt=23): 10476 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10416(a,1),9223(a,1,1,1)),flip(a)]. given #8766 (H,wt=23): 10477 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2093(a,1),10476(a,1,2,2))]. given #8767 (H,wt=29): 10478 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10477(a,1),6624(a,1,1))]. given #8768 (H,wt=25): 10479 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7896(a,1),10478(a,1,1,1)),flip(a)]. given #8769 (H,wt=30): 9737 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9697(a,2),4622(a,1,1,1))]. given #8770 (H,wt=28): 10480 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9737(a,1),4859(a,1))]. given #8771 (H,wt=30): 9881 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3565(a,1),9879(a,2,2))]. given #8772 (H,wt=30): 10034 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6368(a,2),9248(a,2,2,1))]. given #8773 (H,wt=30): 10035 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(7160(a,2),9248(a,2,2,1))]. given #8774 (H,wt=30): 10043 R(x / y,a(y,z,y),a(y,z,y) \ u) * u = (x / L(y,z,y)) * (a(y,z,y) \ u). [para(10041(a,1),323(a,2,1))]. given #8775 (H,wt=30): 10194 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,9027,a(flip),b,10193,a)]. given #8776 (H,wt=26): 10481 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(10194(a,2),8263(a,1))]. given #8777 (H,wt=30): 10450 (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(7777(a,1),8208(a,2,1,2))]. given #8778 (H,wt=30): 10451 R((x / (y * z)) / K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8060(a,1),8368(a,1,1,2))]. given #8779 (H,wt=30): 10452 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),9074(a,1,1,2))]. given #8780 (H,wt=30): 10458 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8895(a,1),10453(a,1,1))]. given #8781 (H,wt=25): 10484 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7730(a,1),10458(a,1,2)),flip(a)]. given #8782 (H,wt=20): 10485 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(286,a,10453,a(flip),b,10484,a),flip(a)]. given #8783 (H,wt=17): 10488 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(347(a,1),10485(a,1,2,2))]. given #8784 (H,wt=25): 10487 a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). [para(110(a,1),10485(a,1,2))]. given #8785 (H,wt=25): 10489 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10487(a,2),10465(a,1,1))]. given #8786 (H,wt=25): 10490 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(286,a,7750,a,b,10489,a),flip(a)]. given #8787 (H,wt=30): 10482 R((x / (y * z)) * K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8107(a,1),10451(a,1,1))]. given #8788 (H,wt=30): 10483 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(8115(a,1),10452(a,1,2))]. given #8789 (H,wt=23): 10491 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(2810(a,1),10483(a,1,2))]. given #8790 (H,wt=28): 10493 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(10491(a,1),6376(a,1,1,2))]. given #8791 (H,wt=26): 10494 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5775(a,1),10493(a,1,1))]. given #8792 (H,wt=21): 10495 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(62,a,7447,a(flip),b,10494,a),flip(a)]. given #8793 (H,wt=31): 8023 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(286,a,6713,a,b,7701,a)]. given #8794 (H,wt=31): 8474 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(6359(a,1),8367(a,1,1,2))]. given #8795 (H,wt=29): 10498 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(252(a,1),8474(a,1,1))]. given #8796 (H,wt=29): 10500 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6892(a,1),10498(a,1,2))]. given #8797 (H,wt=24): 10501 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(7490(a,1),10500(a,1,2)),flip(a)]. given #8798 (H,wt=22): 10502 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(286,a,7,a(flip),b,10501,a),flip(a)]. given #8799 (H,wt=22): 10503 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5851,a,10502,a)]. given #8800 (H,wt=31): 8511 K(x,L(T(y,z),z,u)) * (u * z) != w | (u * z) * K(x,(u * (y * z)) / (u * z)) = w. [para(210(a,1),8341(a,1,1,2))]. given #8801 (H,wt=31): 8576 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,(T(x,y) \ 1) \ y). [para(8573(a,1),4856(a,2,2)),flip(a)]. given #8802 (H,wt=29): 10505 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,T(x,y) * y). [para(4181(a,1),8576(a,2,2))]. given #8803 (H,wt=31): 8729 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5977(a,2),8722(a,2,2)),flip(a)]. given #8804 (H,wt=29): 10506 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(8692(a,1),8729(a,2,1))]. given #8805 (H,wt=29): 10507 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8333(a,1),10506(a,2,2))]. given #8806 (H,wt=21): 10508 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(62,a,6781,a,b,10507,a)]. given #8807 (H,wt=25): 10509 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(6226,a,10508,a)]. given #8808 (H,wt=31): 8965 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(8906(a,1),5987(a,1,2,1,2)),flip(a)]. given #8809 (H,wt=21): 10511 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(286,a,5987,a(flip),b,8965,a),flip(a)]. given #8810 (H,wt=23): 10512 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(109(a,1),10511(a,1,1,1))]. given #8811 (H,wt=31): 9035 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(9033(a,1),5900(a,1,1,1)),flip(a)]. given #8812 (H,wt=31): 9087 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(466(a,1),9086(a,1,1))]. given #8813 (H,wt=26): 10513 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(62,a,8992,a(flip),b,9087,a),flip(a)]. given #8814 (H,wt=21): 10515 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(20(a,2),10513(a,1,1))]. given #8815 (H,wt=21): 10516 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(62,a,8365,a,b,10515,a)]. given #8816 (H,wt=23): 10517 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(62,a,9849,a,b,10516,a)]. given #8817 (H,wt=19): 10518 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(62,a,9052,a(flip),b,10517,a)]. given #8818 (H,wt=17): 10520 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(62,a,9846,a(flip),b,10518,a),flip(a)]. given #8819 (H,wt=21): 10521 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10520(a,1),4694(a,2,2,2))]. given #8820 (H,wt=20): 10522 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10521(a,2),4765(a,1))]. given #8821 (H,wt=31): 9221 ((x \ y) * ((K(z,u) \ 1) \ 1)) * K(w,z) = ((1 / (1 / x)) \ y) * (K(z,u) * K(w,z)). [para(6121(a,1),9125(a,1,1))]. given #8822 (H,wt=31): 9336 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(466(a,1),9334(a,1,2))]. given #8823 (H,wt=26): 10524 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(62,a,8988,a(flip),b,9336,a),flip(a)]. given #8824 (H,wt=21): 10526 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(20(a,2),10524(a,1,2))]. given #8825 (H,wt=21): 10527 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(62,a,8028,a,b,10526,a)]. given #8826 (H,wt=23): 10528 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10527(a,1),4659(a,2,2)),flip(a)]. given #8827 (H,wt=21): 10529 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4663,a,10528,a),flip(a)]. given #8828 (H,wt=23): 10530 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5741(a,1),10529(a,1,2,1)),flip(a)]. given #8829 (H,wt=19): 10531 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10522,a,10530,a),flip(a)]. given #8830 (H,wt=19): 10533 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5932,a,10531,a)]. given #8831 (H,wt=31): 9701 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(430(a,1),9648(a,1,2))]. given #8832 (H,wt=26): 10534 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(62,a,9534,a(flip),b,9701,a),flip(a)]. given #8833 (H,wt=22): 10536 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(62,a,8534,a(flip),b,10534,a),flip(a)]. given #8834 (H,wt=17): 10538 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),10536(a,2,2))]. given #8835 (H,wt=15): 10539 K(x,L(y,T(z,x),u)) = K(x,L(y,z,u)). [para(1092(a,2),10538(a,1,2,2))]. given #8836 (H,wt=17): 10540 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5839(a,2),10538(a,1,2,2))]. given #8837 (H,wt=17): 10541 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5846(a,1),10538(a,1,2,2)),flip(a)]. given #8838 (H,wt=23): 10542 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10541(a,1),5843(a,1,2,2)),flip(a)]. given #8839 (H,wt=17): 10543 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(286,a,5843,a(flip),b,10542,a),flip(a)]. given #8840 (H,wt=15): 10544 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4630(a,1),10543(a,1,1,2)),flip(a)]. given #8841 (H,wt=31): 9704 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(286,a,8358,a(flip),b,9658,a),flip(a)]. given #8842 (H,wt=31): 9927 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) != v5 | K(x,(u * (y * (z / x))) \ w) = v5. [para(9838(a,1),9237(a,1,1))]. given #8843 (H,wt=31): 9990 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(8866(a,1),9863(a,1,1,1,1,2)),flip(a)]. given #8844 (H,wt=23): 10546 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(286,a,9863,a(flip),b,9990,a),flip(a)]. given #8845 (H,wt=21): 10547 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(107(a,1),10546(a,1,2,1,1,1)),flip(a)]. given #8846 (H,wt=31): 10329 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10328(a,1),3783(a,2,1))]. given #8847 (H,wt=21): 10548 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(34,a,4522,a(flip),b,10329,a),flip(a)]. given #8848 (H,wt=31): 10373 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(10343(a,1),8109(a,1))]. given #8849 (H,wt=31): 10497 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3562(a,2),8023(a,1,1))]. given #8850 (H,wt=25): 10549 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4672(a,1),10497(a,2,1))]. given #8851 (H,wt=21): 10550 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9175(a,1),10549(a,1,1))]. given #8852 (H,wt=25): 10551 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(286,a,9609,a,b,10550,a)]. given #8853 (H,wt=17): 10552 a(x \ y,z,x \ y) = a(y / x,z,y / x). [hyper(10115,a,10551,a),flip(a)]. given #8854 (H,wt=31): 10545 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(62,a,10352,a(flip),b,9704,a),flip(a)]. given #8855 (H,wt=27): 10553 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(62,a,8357,a,b,10545,a),flip(a)]. given #8856 (H,wt=25): 10554 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(286,a,10121,a(flip),b,10553,a),flip(a)]. given #8857 (H,wt=25): 10555 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),10554(a,1,2,1)),flip(a)]. given #8858 (H,wt=21): 10556 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(62,a,7764,a(flip),b,10555,a),flip(a)]. given #8859 (H,wt=19): 10557 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(286,a,6717,a(flip),b,10556,a),flip(a)]. given #8860 (H,wt=15): 10558 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4871,a,10557,a),flip(a)]. given #8861 (H,wt=15): 10559 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(62,a,9663,a(flip),b,10557,a),flip(a)]. given #8862 (H,wt=15): 10560 K(x,x \ (y * (x * z))) = K(x,y * z). [para(9(a,1),10558(a,2,2,2))]. given #8863 (H,wt=15): 10563 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(62,a,9659,a,b,10560,a)]. given #8864 (H,wt=16): 10562 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(62,a,9626,a,b,10559,a)]. given #8865 (H,wt=14): 10567 L(K(x,x \ y),y,z) = K(x,x \ y). [para(9(a,1),10562(a,1,3))]. given #8866 (H,wt=10): 10571 a(x,y,K(z,z \ y)) = 1. [hyper(52,a,10567,a)]. given #8867 (H,wt=10): 10573 a(x,y,K(z \ y,z)) = 1. [para(4785(a,1),10571(a,1,3))]. given #8868 (H,wt=14): 10574 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(51,a,10573,a)]. given #8869 (H,wt=15): 10568 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(9237,a,10567,a)]. given #8870 (H,wt=15): 10570 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(62,a,9257,a(flip),b,10567,a)]. given #8871 (H,wt=15): 10575 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9639,a,10574,a)]. given #8872 (H,wt=15): 10580 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(9(a,1),10570(a,1,2,2)),flip(a)]. given #8873 (H,wt=15): 10582 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(10(a,1),10575(a,1,1,2,2))]. given #8874 (H,wt=15): 10584 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(62,a,9546,a(flip),b,10582,a),flip(a)]. given #8875 (H,wt=17): 10564 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10563(a,1),8676(a,1,2)),flip(a)]. given #8876 (H,wt=17): 10583 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10575(a,1),9677(a,1,2))]. given #8877 (H,wt=10): 10588 R(x,y,K(z \ y,z)) = x. [hyper(756,a,10583,a)]. given #8878 (H,wt=10): 10592 R(x,y * z,K(z,y)) = x. [para(9(a,1),10588(a,1,3,1))]. given #8879 (H,wt=13): 10591 R(x,y \ z,y) = R(x,z / y,y). [hyper(62,a,7551,a(flip),b,10588,a)]. given #8880 (H,wt=15): 10593 (x * (y * z)) * K(z,y) = x * (z * y). [para(10592(a,1),475(a,1,1)),flip(a)]. given #8881 (H,wt=10): 10600 K(x,L(y,x,z)) = K(x,y). [hyper(7094,a,10593,a)]. given #8882 (H,wt=10): 10606 K(L(x,y,z),y) = K(x,y). [hyper(62,a,9522,a,b,10600,a)]. given #8883 (H,wt=12): 10608 T(x,L(y,x,z)) = x * K(x,y). [para(10600(a,1),4659(a,2,2))]. given #8884 (H,wt=10): 10615 T(x,L(y,x,z)) = T(x,y). [hyper(286,a,4659,a,b,10608,a),flip(a)]. given #8885 (H,wt=14): 10609 K(L(x,y,z),y) = (u * K(y,x)) \ u. [para(10600(a,1),6895(a,1,1,2)),flip(a)]. given #8886 (H,wt=13): 10623 K(L(x,y,z),y) != u | K(x,y) = u. [para(10609(a,2),6902(a,1))]. given #8887 (H,wt=13): 10625 K(x,L(y,x,z)) != u | K(x,y) = u. [para(9522(a,1),10623(a,1))]. given #8888 (H,wt=14): 10610 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10600(a,1),8604(a,1,2)),flip(a)]. given #8889 (H,wt=15): 10618 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(62,a,9612,a(flip),b,10615,a)]. given #8890 (H,wt=15): 10619 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10615(a,1),108(a,1,2))]. given #8891 (H,wt=15): 10630 K(x,y) != z | K(R(x,x \ 1,u),y) = z. [para(9532(a,1),10625(a,1))]. given #8892 (H,wt=17): 10601 (x * (y * z)) / T(y,z) = (x * (z * y)) / y. [hyper(116,a,10593,a(flip),b,6822,a)]. given #8893 (H,wt=17): 10602 ((x * (y * z)) / z) \ (x * (z * y)) = T(z,y). [hyper(115,a,10593,a(flip),b,6822,a)]. given #8894 (H,wt=17): 10624 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(7073(a,2),10623(a,1))]. given #8895 (H,wt=18): 10572 K(x,x \ (y \ z)) != u | K(x,(y * x) \ z) = u. [para(10567(a,1),9237(a,1))]. given #8896 (H,wt=18): 10622 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10615(a,1),7368(a,1,1,2)),flip(a)]. given #8897 (H,wt=11): 10638 L(x,T(y,x),z) = L(x,y,z). [hyper(286,a,18,a,b,10622,a)]. given #8898 (H,wt=13): 10640 L(x,x \ y,z) = L(x,y / x,z). [para(110(a,1),10638(a,1,2))]. given #8899 (H,wt=17): 10641 L(x,T(y,K(x,z)),u) = L(x,T(y,T(x,z)),u). [para(7616(a,1),10638(a,1,2)),flip(a)]. given #8900 (H,wt=13): 10645 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(62,a,10201,a(flip),b,10641,a),flip(a)]. given #8901 (H,wt=17): 10646 L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). [para(110(a,1),10645(a,1,2))]. given #8902 (H,wt=15): 10647 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(62,a,10200,a(flip),b,10646,a),flip(a)]. given #8903 (H,wt=18): 10627 K(x,(y * x) \ z) != u | K(x,x \ (y \ z)) = u. [para(268(a,1),10625(a,1,2))]. given #8904 (H,wt=18): 10631 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9531(a,1),10625(a,1))]. given #8905 (H,wt=16): 10652 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(9767(a,1),10631(a,1))]. given #8906 (H,wt=18): 10643 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(286,a,507,a(flip),b,10640,a),flip(a)]. given #8907 (H,wt=18): 10644 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10640(a,2),7140(a,1,1))]. given #8908 (H,wt=18): 10650 K(x,(x * y) \ z) != u | K(x,x \ (y \ z)) = u. [para(7058(a,1),10627(a,1))]. given #8909 (H,wt=19): 10561 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10558(a,1),6895(a,1,1,2))]. given #8910 (H,wt=15): 10654 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6902,a,10561,a),flip(a)]. given #8911 (H,wt=13): 10655 K(x * (y \ 1),y) = K(y \ x,y). [para(8(a,1),10654(a,1,1,2)),flip(a)]. given #8912 (H,wt=15): 10656 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(10(a,1),10654(a,1,1,2)),flip(a)]. given #8913 (H,wt=15): 10658 x * K(x * (y \ 1),y) = (y \ x) * y. [para(10655(a,2),271(a,1,2))]. given #8914 (H,wt=17): 10657 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(8883,a,10655,a),flip(a)]. given #8915 (H,wt=19): 10577 ((x * y) \ x) * (x * y) = x * K(y,y \ (x \ 1)). [para(10568(a,1),6471(a,2,2))]. given #8916 (H,wt=19): 10579 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(62,a,9834,a(flip),b,10570,a),flip(a)]. given #8917 (H,wt=19): 10587 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(8909(a,1),10564(a,1,2)),flip(a)]. given #8918 (H,wt=19): 10605 T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). [para(10593(a,1),8119(a,1,2)),flip(a)]. given #8919 (H,wt=19): 10607 K(x,T((y * x) \ z,u)) = K(x,T(x \ (y \ z),u)). [para(505(a,1),10600(a,1,2))]. given #8920 (H,wt=17): 10665 K(x,T(x \ (y \ z),y)) = K(x,z / (y * x)). [hyper(62,a,9357,a(flip),b,10607,a),flip(a)]. given #8921 (H,wt=19): 10626 K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(30(a,1),10625(a,1,2))]. given #8922 (H,wt=19): 10651 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(9531(a,2),10631(a,1))]. given #8923 (H,wt=19): 10659 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(76(a,1),10658(a,1,2,1,2)),flip(a)]. given #8924 (H,wt=19): 10660 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4893(a,1),10658(a,1,2,1,2)),flip(a)]. given #8925 (H,wt=20): 10581 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(10570(a,2),8709(a,1,2))]. given #8926 (H,wt=20): 10597 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(286,a,7415,a(flip),b,10591,a),flip(a)]. given #8927 (H,wt=20): 10614 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10606(a,1),10073(a,1,1))]. given #8928 (H,wt=16): 10668 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(62,a,10073,a(flip),b,10614,a),flip(a)]. given #8929 (H,wt=20): 10628 K(x \ 1,x * y) != z | K(x \ 1,(x \ 1) \ y) = z. [para(444(a,1),10625(a,1,2))]. given #8930 (H,wt=20): 10662 L(x \ 1,x,y) * (y * x) = y * K(x,x \ (y \ 1)). [hyper(577,a,10577,a)]. given #8931 (H,wt=20): 10669 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10614(a,2),7860(a,1))]. given #8932 (H,wt=18): 10672 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(107(a,1),10669(a,1,2,1))]. given #8933 (H,wt=18): 10673 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(10(a,1),10672(a,1,2))]. given #8934 (H,wt=21): 10670 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(62,a,10351,a(flip),b,10668,a)]. given #8935 (H,wt=22): 10595 T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),y \ x,y). [hyper(286,a,1744,a,b,10591,a)]. given #8936 (H,wt=22): 10603 (x * (y * z)) * K(z,y) != u * w | u \ (x * (z * y)) = w. [para(10593(a,2),513(a,1))]. given #8937 (H,wt=22): 10604 (x * (y * z)) * K(z,y) != u * w | (x * (z * y)) / w = u. [para(10593(a,1),6910(a,1,1))]. given #8938 (H,wt=22): 10629 K(x,T((y * x) \ z,u)) != w | K(x,T(x \ (y \ z),u)) = w. [para(505(a,1),10625(a,1,2))]. given #8939 (H,wt=23): 10589 T(x * ((y \ z) * y),K(y \ z,y)) = K(y \ z,y) * (x * z). [para(10583(a,1),8123(a,1,1))]. given #8940 (H,wt=24): 10596 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(286,a,9722,a(flip),b,10591,a),flip(a)]. given #8941 (H,wt=24): 10649 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(62,a,7458,a,b,10647,a)]. given #8942 (H,wt=21): 10676 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10649(a,1),6632(a,1,1)),flip(a)]. given #8943 (H,wt=21): 10677 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7822(a,1),10676(a,1,2,2))]. given #8944 (H,wt=21): 10679 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(286,a,25,a,b,10677,a),flip(a)]. given #8945 (H,wt=19): 10680 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(1092(a,2),10679(a,1,2,2))]. given #8946 (H,wt=19): 10681 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5736(a,1),10679(a,1,2))]. given #8947 (H,wt=21): 10683 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8558(a,2),10681(a,1,2))]. given #8948 (H,wt=19): 10684 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(8015,a,10683,a)]. given #8949 (H,wt=24): 10653 K(L(x,T(x,y) \ z,u),w) != v5 | L(K(x,w),K(y,x) * z,u) = v5. [para(5736(a,1),10644(a,1,1,2))]. given #8950 (H,wt=25): 10634 ((x * (y * K(z,u))) / y) * K(y,K(z,u)) = (x * (K(z,u) * y)) / y. [hyper(62,a,8106,a,b,10601,a)]. given #8951 (H,wt=25): 10667 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6718(a,1),10659(a,2,2))]. given #8952 (H,wt=25): 10671 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(848(a,1),10668(a,1,1)),flip(a)]. given #8953 (H,wt=25): 10682 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(10680(a,1),29(a,1,1)),flip(a)]. given #8954 (H,wt=25): 10685 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(8936(a,1),10667(a,2,2))]. given #8955 (H,wt=25): 10686 K(x \ (x * (y \ z)),L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). [hyper(286,a,7833,a,b,10671,a)]. given #8956 (H,wt=21): 10688 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(7510,a,10686,a),flip(a)]. given #8957 (H,wt=21): 10689 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7995,a,10688,a)]. given #8958 (H,wt=21): 10691 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10480,a,10689,a)]. given #8959 (H,wt=25): 10687 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(286,a,29,a(flip),b,10682,a),flip(a)]. given #8960 (H,wt=27): 10565 K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,u \ (y * (z * u))). [para(10563(a,1),8731(a,1,2,2))]. given #8961 (H,wt=27): 10661 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(286,a,6720,a(flip),b,10657,a),flip(a)]. given #8962 (H,wt=21): 10692 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6967,a,10661,a)]. given #8963 (H,wt=27): 10664 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10579(a,1),7083(a,1,1)),flip(a)]. given #8964 (H,wt=25): 10694 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(286,a,7083,a(flip),b,10664,a),flip(a)]. given #8965 (H,wt=28): 10621 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(454(a,1),10615(a,1,2))]. given #8966 (H,wt=28): 10695 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10664(a,2),10631(a,1))]. given #8967 (H,wt=28): 10696 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(286,a,25,a,b,10621,a),flip(a)]. given #8968 (H,wt=28): 10697 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(62,a,25,a,b,10696,a)]. given #8969 (H,wt=28): 10698 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(10009(a,1),10697(a,1,1))]. given #8970 (H,wt=20): 10699 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(10618(a,1),10698(a,1,1)),flip(a)]. given #8971 (H,wt=29): 10700 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10699(a,1),5838(a,1,2,1))]. given #8972 (H,wt=20): 10702 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(62,a,5838,a(flip),b,10700,a),flip(a)]. given #8973 (H,wt=30): 10633 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10619(a,1),1239(a,1,2,2))]. given #8974 (H,wt=28): 10704 ((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),10633(a,1,1,1))]. given #8975 (H,wt=19): 10705 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1668,a,10704,a),flip(a)]. given #8976 (H,wt=17): 10706 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(108(a,1),10705(a,1,2))]. given #8977 (H,wt=14): 10707 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8983,a,10706,a),flip(a)]. given #8978 (H,wt=22): 10709 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10707(a,1),7083(a,1,1))]. given #8979 (H,wt=20): 10710 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(10631,a,10709,a),flip(a)]. given #8980 (H,wt=17): 10711 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10710(a,1),10267(a,1,1))]. given #8981 (H,wt=14): 10712 L(K(x,x * y),y,z) = K(x,x * y). [para(9070(a,1),10711(a,1,1))]. given #8982 (H,wt=16): 10714 L(K(x,x * y),y,z) = K(x,T(x * y,y)). [hyper(286,a,8431,a,b,10712,a),flip(a)]. given #8983 (H,wt=16): 10715 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10712(a,2),4794(a,1,2))]. given #8984 (H,wt=14): 10718 L(K(x * y,x),y,z) = K(x * y,x). [hyper(9495,a,10715,a)]. given #8985 (H,wt=15): 10719 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(62,a,9986,a(flip),b,10718,a)]. given #8986 (H,wt=15): 10721 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(9623,a,10719,a)]. given #8987 (H,wt=15): 10722 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(9586,a,10719,a)]. given #8988 (H,wt=15): 10723 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7080,a,10719,a)]. given #8989 (H,wt=15): 10725 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(62,a,9573,a(flip),b,10719,a),flip(a)]. given #8990 (H,wt=17): 10717 L(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(10714(a,2),8432(a,1))]. given #8991 (H,wt=18): 10728 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10719(a,1),9585(a,1))]. given #8992 (H,wt=19): 10720 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(9984,a,10719,a)]. given #8993 (H,wt=22): 10727 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(10719(a,1),9181(a,1,2))]. given #8994 (H,wt=18): 10730 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10727(a,1),9208(a,1))]. given #8995 (H,wt=28): 10726 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10719(a,1),6095(a,1,1,1,2))]. given #8996 (H,wt=21): 10731 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(6311,a,10726,a),flip(a)]. given #8997 (H,wt=21): 10732 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(62,a,9619,a,b,10731,a)]. given #8998 (H,wt=31): 10585 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(1253(a,1),10584(a,1,1,2,1))]. given #8999 (H,wt=31): 10586 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(4429(a,1),10584(a,1,1,2,1))]. given #9000 (H,wt=31): 10703 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10702(a,1),9182(a,1,2)),flip(a)]. given #9001 (H,wt=32): 8331 (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(8300(a,2),211(a,1,1,1))]. given #9002 (H,wt=28): 10734 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(2948(a,1),8331(a,1,2,1)),flip(a)]. given #9003 (H,wt=24): 10735 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2948(a,1),10734(a,1,2)),flip(a)]. given #9004 (H,wt=32): 9263 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1656(a,1),9258(a,1,2,2,2)),flip(a)]. given #9005 (H,wt=30): 10739 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(22(a,2),9263(a,2,2,2))]. given #9006 (H,wt=24): 10740 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(286,a,8809,a(flip),b,10739,a),flip(a)]. given #9007 (H,wt=21): 10742 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(506(a,1),10740(a,1,2))]. given #9008 (H,wt=21): 10743 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(12(a,1),10742(a,1,2,1,1)),flip(a)]. given #9009 (H,wt=21): 10744 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(9(a,1),10743(a,1,2,1)),flip(a)]. given #9010 (H,wt=27): 10745 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(9635,a,10744,a)]. given #9011 (H,wt=27): 10746 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(9740(a,2),10745(a,1,1))]. given #9012 (H,wt=19): 10747 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(9663(a,1),10746(a,1,1))]. given #9013 (H,wt=17): 10748 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(10631,a,10747,a)]. given #9014 (H,wt=14): 10750 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(62,a,7306,a(flip),b,10748,a),flip(a)]. given #9015 (H,wt=12): 10751 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(62,a,7149,a(flip),b,10750,a)]. given #9016 (H,wt=10): 10752 K(x,a(y,z,z \ 1)) = 1. [hyper(6456,a,10751,a)]. given #9017 (H,wt=10): 10754 T(x,a(y,z,z \ 1)) = x. [hyper(55,a,10752,a)]. given #9018 (H,wt=10): 10757 T(x,a(y,z \ 1,z)) = x. [para(3513(a,1),10754(a,1,2))]. given #9019 (H,wt=10): 10758 T(x,a(y,y \ 1,z)) = x. [para(6999(a,1),10754(a,1,2))]. given #9020 (H,wt=10): 10760 T(x,a(y \ 1,y,z)) = x. [para(6527(a,1),10757(a,1,2))]. given #9021 (H,wt=10): 10763 K(x,a(y \ 1,y,z)) = 1. [hyper(54,a,10760,a)]. given #9022 (H,wt=15): 10756 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(53,a,10754,a)]. given #9023 (H,wt=15): 10759 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(53,a,10757,a)]. given #9024 (H,wt=15): 10761 T(a(x,x \ 1,y),z) = a(x,x \ 1,y). [hyper(53,a,10758,a)]. given #9025 (H,wt=15): 10764 T(a(x \ 1,x,y),z) = a(x \ 1,x,y). [hyper(53,a,10760,a)]. given #9026 (H,wt=17): 10755 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [hyper(7640,a,10754,a),flip(a)]. given #9027 (H,wt=17): 10762 a(x \ 1,x,y) \ z = z / a(x \ 1,x,y). [hyper(638,a,10760,a)]. given #9028 (H,wt=17): 10768 T(a(x,y \ 1,y),z) = x \ R(x,y \ 1,y). [hyper(286,a,3501,a,b,10759,a),flip(a)]. given #9029 (H,wt=18): 10769 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(10768(a,1),309(a,1))]. given #9030 (H,wt=21): 10772 x * (((y * x) \ 1) * y) != z | a(x \ 1,y \ 1,y) = z. [para(6449(a,1),10769(a,1))]. given #9031 (H,wt=24): 10766 L(a(x,y,y \ 1),z,u) * (u * z) = u * (z * a(x,y,y \ 1)). [para(10756(a,1),578(a,1,2,2)),flip(a)]. given #9032 (H,wt=25): 10771 L(x \ R(x,y \ 1,y),z,K(u \ 1,u)) != w | a(x,y \ 1,y) = w. [para(3495(a,2),10769(a,1))]. given #9033 (H,wt=26): 10765 x * L(a(y,z,z \ 1),u,w) != v5 | L(a(y,z,z \ 1),u,w) * x = v5. [para(10756(a,1),376(a,1,2,1))]. given #9034 (H,wt=27): 10770 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5849(a,2),10768(a,1,1))]. given #9035 (H,wt=29): 10774 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,10333,a,b,10770,a)]. given #9036 (H,wt=30): 10773 ((x * (y * a(z,u,u \ 1))) / y) \ (L(a(z,u,u \ 1),y,x) * (y * x)) = T(y,x). [para(10766(a,1),10602(a,1,1,1))]. given #9037 (H,wt=32): 9362 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(9355(a,1),9191(a,1,2))]. given #9038 (H,wt=24): 10776 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10061(a,1),9362(a,1,1)),flip(a)]. given #9039 (H,wt=18): 10777 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(62,a,10187,a(flip),b,10776,a),flip(a)]. given #9040 (H,wt=18): 10779 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7819,a,10777,a)]. given #9041 (H,wt=24): 10781 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),10779(a,1,2,2))]. given #9042 (H,wt=32): 9434 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(9381(a,2),8072(a,2,1))]. given #9043 (H,wt=27): 10784 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9451(a,1),9434(a,1,2))]. given #9044 (H,wt=27): 10785 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8060(a,1),10784(a,1,2))]. given #9045 (H,wt=25): 10787 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(9381(a,1),10785(a,2,1))]. given #9046 (H,wt=24): 10788 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(62,a,10457,a(flip),b,10787,a)]. given #9047 (H,wt=24): 10789 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10448,a,10788,a)]. given #9048 (H,wt=22): 10790 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10440,a,10789,a)]. given #9049 (H,wt=32): 9751 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(9477(a,1),9750(a,1,2))]. given #9050 (H,wt=32): 9789 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(4004(a,1),9788(a,1,1))]. given #9051 (H,wt=32): 9827 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(430(a,1),9629(a,2,2))]. given #9052 (H,wt=28): 10793 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),9827(a,1,2,1))]. given #9053 (H,wt=23): 10795 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),10793(a,1,2))]. given #9054 (H,wt=20): 10796 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(10651,a,10795,a)]. given #9055 (H,wt=17): 10797 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(286,a,9528,a(flip),b,10796,a),flip(a)]. given #9056 (H,wt=17): 10800 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),10797(a,2,2,2))]. given #9057 (H,wt=29): 10801 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(4033(a,1),10800(a,1,1,2))]. given #9058 (H,wt=24): 10802 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7698,a,10801,a)]. given #9059 (H,wt=22): 10804 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(62,a,10544,a(flip),b,10802,a),flip(a)]. given #9060 (H,wt=32): 9975 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9974(a,2),437(a,2,2))]. given #9061 (H,wt=28): 10805 (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,9975,a)]. given #9062 (H,wt=28): 10806 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(10277,a,10805,a)]. given #9063 (H,wt=28): 10807 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9830,a,10806,a)]. given #9064 (H,wt=24): 10808 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),10807(a,1,2,1)),flip(a)]. given #9065 (H,wt=19): 10809 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(286,a,9284,a(flip),b,10808,a),flip(a)]. given #9066 (H,wt=23): 10810 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(203(a,1),10809(a,1,2)),flip(a)]. given #9067 (H,wt=12): 10812 L(K(x,y),z,y * x) = K(x,y). [hyper(10625,a,10810,a),flip(a)]. given #9068 (H,wt=15): 10813 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10810(a,1),10625(a,1))]. given #9069 (H,wt=19): 10815 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10812(a,1),10366(a,1,1))]. given #9070 (H,wt=26): 10811 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10809(a,1),9975(a,1,2))]. given #9071 (H,wt=19): 10817 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(62,a,7093,a(flip),b,10811,a),flip(a)]. given #9072 (H,wt=15): 10818 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(262,a,10817,a)]. given #9073 (H,wt=15): 10819 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(116,a,12,a(flip),b,10818,a),flip(a)]. given #9074 (H,wt=17): 10822 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),10819(a,1,1,2))]. given #9075 (H,wt=18): 10825 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10819(a,1),8794(a,1,2))]. given #9076 (H,wt=18): 10826 K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. [para(10819(a,1),8978(a,1,2))]. given #9077 (H,wt=19): 10827 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(62,a,9870,a,b,10822,a)]. given #9078 (H,wt=19): 10830 (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. [hyper(175,a,10827,a)]. given #9079 (H,wt=21): 10821 (x * K(y,z \ 1)) * (z * (y \ 1)) = x * ((y \ 1) * z). [para(6458(a,1),10818(a,1,1,2))]. given #9080 (H,wt=21): 10828 (x / (y * z)) * K((y * z) / y,y) = x / (T(y,z) * z). [para(3662(a,2),10822(a,2,2))]. given #9081 (H,wt=21): 10834 (x / (y * z)) * K(y \ (y * z),y) = x / (T(y,z) * z). [para(4777(a,2),10828(a,1,2))]. given #9082 (H,wt=17): 10835 (x / (y * z)) * K(z,y) = x / (T(y,z) * z). [para(9(a,1),10834(a,1,2,1))]. given #9083 (H,wt=23): 10829 K(x / y,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). [para(10822(a,1),8912(a,1,2,1))]. given #9084 (H,wt=23): 10831 ((x * ((x / y) \ 1)) / x) \ 1 = x / (x * (((y / x) \ 1) \ 1)). [para(10830(a,1),2976(a,1,1))]. given #9085 (H,wt=23): 10832 (x * T(y,z \ 1)) * (z * (y \ 1)) = (x * y) * ((y \ 1) * z). [para(6811(a,1),10821(a,1,1))]. given #9086 (H,wt=23): 10837 K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). [para(4205(a,2),10829(a,1,2,1))]. given #9087 (H,wt=25): 10823 (x / (((y * z) / y) * y)) * K((y * z) / y,y) = x / (T(y,z) * z). [para(3662(a,2),10819(a,2,2))]. given #9088 (H,wt=32): 9979 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9976(a,1),6095(a,1,1,1,2))]. given #9089 (H,wt=25): 10838 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(6311,a,9979,a),flip(a)]. given #9090 (H,wt=32): 10265 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(6935(a,1),10263(a,2,2,2,1))]. given #9091 (H,wt=29): 10840 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4275(a,1),10265(a,2,2))]. given #9092 (H,wt=24): 10841 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(286,a,9754,a(flip),b,10840,a),flip(a)]. given #9093 (H,wt=15): 10842 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(10717,a,10841,a),flip(a)]. given #9094 (H,wt=15): 10848 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(62,a,9646,a(flip),b,10842,a)]. given #9095 (H,wt=15): 10849 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(62,a,9600,a(flip),b,10842,a),flip(a)]. given #9096 (H,wt=17): 10845 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(62,a,9839,a,b,10842,a)]. given #9097 (H,wt=17): 10851 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(10842(a,2),8670(a,1,2))]. given #9098 (H,wt=17): 10852 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(10842(a,2),8671(a,1,2))]. given #9099 (H,wt=17): 10854 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(8058,a,10851,a)]. given #9100 (H,wt=18): 10843 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(10841(a,1),10717(a,1))]. given #9101 (H,wt=19): 10846 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(62,a,9838,a,b,10842,a)]. given #9102 (H,wt=19): 10853 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10845(a,1),4659(a,2,2))]. given #9103 (H,wt=17): 10859 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(286,a,4659,a,b,10853,a),flip(a)]. given #9104 (H,wt=15): 10860 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(62,a,10155,a(flip),b,10859,a)]. given #9105 (H,wt=17): 10861 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(62,a,10209,a(flip),b,10860,a),flip(a)]. given #9106 (H,wt=22): 10858 K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(9838(a,2),10843(a,1))]. given #9107 (H,wt=23): 10850 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10842(a,1),7083(a,1,1))]. given #9108 (H,wt=21): 10863 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(10631,a,10850,a),flip(a)]. given #9109 (H,wt=21): 10864 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(10212,a,10863,a)]. given #9110 (H,wt=23): 10855 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1118(a,1),10852(a,1,2,2))]. given #9111 (H,wt=23): 10856 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10854(a,1),8400(a,1,2)),flip(a)]. given #9112 (H,wt=19): 10866 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(286,a,8047,a(flip),b,10856,a),flip(a)]. given #9113 (H,wt=17): 10867 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8502,a,10866,a)]. given #9114 (H,wt=17): 10868 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),10867(a,1,2,2)),flip(a)]. given #9115 (H,wt=24): 10857 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1236(a,1),10843(a,1,2))]. given #9116 (H,wt=24): 10862 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10861(a,1),5719(a,1,2))]. given #9117 (H,wt=15): 10870 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(62,a,10153,a(flip),b,10862,a),flip(a)]. given #9118 (H,wt=15): 10872 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(76(a,1),10870(a,1,2,2)),flip(a)]. given #9119 (H,wt=19): 10873 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(10(a,2),10872(a,1,2))]. given #9120 (H,wt=26): 10865 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10855(a,2),8422(a,1))]. given #9121 (H,wt=30): 10869 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(10868(a,1),4660(a,1,2,1))]. given #9122 (H,wt=23): 10874 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4862,a,10869,a),flip(a)]. given #9123 (H,wt=32): 10270 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(10202(a,1),8378(a,2,2))]. given #9124 (H,wt=30): 10875 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(7389(a,1),10270(a,1,2))]. given #9125 (H,wt=30): 10876 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,9098,a(flip),b,10875,a)]. given #9126 (H,wt=32): 10433 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),T(x,y) * z) * u. [para(7777(a,1),10430(a,1,2,1))]. given #9127 (H,wt=32): 10496 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(10495(a,1),9456(a,2,1))]. given #9128 (H,wt=30): 10878 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(10491(a,1),10496(a,1,2,1))]. given #9129 (H,wt=32): 10504 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(9098(a,1),10503(a,1,1))]. given #9130 (H,wt=32): 10666 K(x,y / (z * x)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). [para(10665(a,1),5942(a,1,1))]. given #9131 (H,wt=32): 10729 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10720(a,1),6096(a,1,1,1,2))]. given #9132 (H,wt=25): 10882 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6931,a,10729,a),flip(a)]. given #9133 (H,wt=28): 10883 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(10729(a,1),6931(a,1))]. given #9134 (H,wt=32): 10792 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(7981,a,9789,a),flip(a)]. given #9135 (H,wt=27): 10884 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(286,a,10181,a(flip),b,10792,a),flip(a)]. given #9136 (H,wt=25): 10886 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(286,a,8165,a(flip),b,10884,a),flip(a)]. given #9137 (H,wt=32): 10877 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),z * T(x,y)) * u. [para(5991(a,2),10433(a,2,1))]. given #9138 (H,wt=32): 10881 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(7723(a,2),10504(a,1,2,2,1))]. given #9139 (H,wt=32): 10887 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. [hyper(8496,a,10877,a(flip)),flip(a)]. given #9140 (H,wt=32): 10888 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(5839(a,1),10881(a,1,2))]. given #9141 (H,wt=33): 5861 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(5839(a,1),3565(a,1,1))]. given #9142 (H,wt=33): 6310 (x * (y * z)) \ ((x * y) * L(z * K(u,z),y,x)) = L(K(u,L(z,y,x)),L(z,y,x),x * y). [para(6090(a,1),429(a,1,2,2))]. given #9143 (H,wt=33): 7214 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6542(a,1),6141(a,2,1,1))]. given #9144 (H,wt=23): 10889 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(6258(a,1),7214(a,1,1,2))]. given #9145 (H,wt=19): 10890 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(286,a,632,a(flip),b,10889,a),flip(a)]. given #9146 (H,wt=19): 10892 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(129,a,10890,a)]. given #9147 (H,wt=19): 10893 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(35,a,5844,a,b,10890,a)]. given #9148 (H,wt=19): 10895 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(9318,a,10892,a),flip(a)]. given #9149 (H,wt=17): 10898 K(x,T(y,z)) * (y * x) = T(x,K(y,z)) * y. [hyper(62,a,7316,a(flip),b,10895,a),flip(a)]. given #9150 (H,wt=15): 10901 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(9437,a,10898,a)]. given #9151 (H,wt=15): 10902 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(116,a,9436,a(flip),b,10898,a(flip))]. given #9152 (H,wt=15): 10903 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4492,a,10901,a),flip(a)]. given #9153 (H,wt=15): 10904 T(x / y,K(y,z)) = T(x,K(y,z)) / y. [para(12(a,1),10902(a,1,1,1)),flip(a)]. given #9154 (H,wt=19): 10897 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5846(a,1),10893(a,1,2,2)),flip(a)]. given #9155 (H,wt=19): 10908 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(286,a,145,a(flip),b,10897,a),flip(a)]. given #9156 (H,wt=19): 10909 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(62,a,10426,a,b,10897,a)]. given #9157 (H,wt=18): 10917 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9178(a,1),10909(a,1,1)),flip(a)]. given #9158 (H,wt=18): 10918 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5851,a,10917,a)]. given #9159 (H,wt=18): 10919 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9(a,1),10918(a,1,2)),flip(a)]. given #9160 (H,wt=19): 10910 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(62,a,10421,a,b,10897,a)]. given #9161 (H,wt=10): 10921 L(x,K(y,z),K(u,y)) = x. [hyper(435,a,10910,a)]. given #9162 (H,wt=12): 10920 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4528,a,10910,a)]. given #9163 (H,wt=13): 10924 L(x,K(y,z),K(u,y)) != w | x = w. [para(10921(a,1),49(a,2))]. given #9164 (H,wt=19): 10911 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(62,a,10415,a,b,10897,a)]. given #9165 (H,wt=18): 10928 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(9176(a,1),10911(a,1,1)),flip(a)]. given #9166 (H,wt=19): 10912 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5846(a,1),10897(a,2,2))]. given #9167 (H,wt=19): 10916 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2093(a,1),10909(a,1,1))]. given #9168 (H,wt=19): 10922 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(116,a,10893,a(flip),b,10910,a)]. given #9169 (H,wt=19): 10930 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5851,a,10912,a)]. given #9170 (H,wt=20): 10907 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(286,a,9300,a(flip),b,10897,a),flip(a)]. given #9171 (H,wt=21): 10906 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(286,a,5740,a,b,10897,a)]. given #9172 (H,wt=19): 10934 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4638(a,1),10906(a,1,2))]. given #9173 (H,wt=22): 10894 K(x,y) * (K(x,z) * u) != w | K(x,z) * (K(x,y) * u) = w. [para(10890(a,1),263(a,1,1)),flip(b)]. given #9174 (H,wt=22): 10925 (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. [para(10921(a,1),261(a,1,2))]. given #9175 (H,wt=22): 10929 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5885(a,1),10928(a,1,2))]. given #9176 (H,wt=22): 10933 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(10907(a,1),4638(a,1,2)),flip(a)]. given #9177 (H,wt=17): 10936 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [hyper(62,a,6276,a(flip),b,10933,a),flip(a)]. given #9178 (H,wt=15): 10938 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10050(a,1),10936(a,1,2))]. given #9179 (H,wt=13): 10939 a(x,y,x) * z = z * a(x,y,x). [hyper(33,a,10437,a,b,10938,a)]. given #9180 (H,wt=8): 10947 T(x,a(y,z,y)) = x. [hyper(219,a,10939,a)]. given #9181 (H,wt=8): 10955 K(x,a(y,z,y)) = 1. [hyper(54,a,10947,a)]. given #9182 (H,wt=10): 10959 T(x,y \ R(y,z,y)) = x. [para(9173(a,1),10947(a,1,2))]. given #9183 (H,wt=11): 10948 T(a(x,y,x),z) = a(x,y,x). [hyper(216,a,10939,a,b,xx)]. given #9184 (H,wt=11): 10956 T(x,a(y,z,y)) != u | u = x. [para(10947(a,1),48(a,1)),flip(a)]. given #9185 (H,wt=13): 10944 a(x,y,x) \ z = z / a(x,y,x). [hyper(298,a,10939,a),flip(a)]. given #9186 (H,wt=13): 10946 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(233,a,10939,a),flip(a)]. given #9187 (H,wt=13): 10963 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(286,a,9175,a,b,10948,a),flip(a)]. given #9188 (H,wt=15): 10940 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(33,a,1121,a,b,10938,a)]. given #9189 (H,wt=15): 10941 (x * y) * a(x,z,x) = R(x,z,x) * y. [hyper(33,a,1117,a(flip),b,10938,a),flip(a)]. given #9190 (H,wt=15): 10949 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(115,a,10051,a(flip),b,10939,a)]. given #9191 (H,wt=15): 10961 T(x \ R(x,y,x),z) = x \ R(x,y,x). [hyper(53,a,10959,a)]. given #9192 (H,wt=15): 10969 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(10946(a,1),10056(a,1,2)),flip(a)]. given #9193 (H,wt=15): 10972 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(62,a,7899,a(flip),b,10940,a)]. given #9194 (H,wt=15): 10974 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(12(a,1),10949(a,1,2)),flip(a)]. given #9195 (H,wt=15): 10978 (x * y) * a(y,z,y) = x * R(y,z,y). [para(11(a,1),10972(a,1,1)),flip(a)]. given #9196 (H,wt=15): 10983 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [hyper(121,a,10974,a)]. given #9197 (H,wt=15): 10985 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(121,a,10978,a)]. given #9198 (H,wt=15): 10986 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(62,a,10939,a,b,10978,a)]. given #9199 (H,wt=15): 10987 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(116,a,10939,a,b,10978,a(flip))]. given #9200 (H,wt=15): 10988 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(116,a,10978,a(flip),b,10939,a)]. given #9201 (H,wt=15): 10990 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(115,a,12,a(flip),b,10986,a),flip(a)]. given #9202 (H,wt=15): 10996 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(62,a,9243,a(flip),b,10990,a)]. given #9203 (H,wt=14): 10998 a(x,y,x) \ x != z | L(x,y,x) = z. [para(10996(a,1),232(a,1)),flip(b)]. given #9204 (H,wt=15): 10997 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(286,a,10944,a(flip),b,10996,a),flip(a)]. given #9205 (H,wt=16): 10950 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10939(a,2),42(a,1))]. given #9206 (H,wt=16): 10951 x * a(y,z,y) != u | a(y,z,y) \ u = x. [para(10939(a,1),121(a,1))]. given #9207 (H,wt=16): 10957 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10947(a,1),262(a,1,2))]. given #9208 (H,wt=16): 10958 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(10947(a,1),638(a,1))]. given #9209 (H,wt=16): 10964 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10948(a,1),262(a,1,2))]. given #9210 (H,wt=16): 10966 a(x,y,x) \ z != u | z / a(x,y,x) = u. [para(110(a,1),10956(a,1)),flip(b)]. given #9211 (H,wt=17): 10937 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [hyper(33,a,1121,a,b,10936,a)]. given #9212 (H,wt=17): 10960 (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). [hyper(638,a,10959,a)]. given #9213 (H,wt=17): 10981 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(9175(a,2),10972(a,2,2))]. given #9214 (H,wt=17): 11002 R(x,y,x) \ (x * z) = z / (x \ R(x,y,x)). [hyper(62,a,10436,a(flip),b,10960,a)]. given #9215 (H,wt=18): 10942 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(115,a,10938,a(flip),b,92,a)]. given #9216 (H,wt=18): 10952 x * a(y,z,y) != x * u | T(a(y,z,y),x) = u. [para(10939(a,1),217(a,2)),flip(a)]. given #9217 (H,wt=18): 10973 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10941(a,1),301(a,1,2)),flip(b)]. given #9218 (H,wt=15): 11004 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10942(a,1),10973(a,1))]. given #9219 (H,wt=18): 10976 T(x \ R(x,y,x),z) = K(x,y) * K(x * y,x). [hyper(286,a,5942,a,b,10961,a),flip(a)]. given #9220 (H,wt=18): 10979 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(10972(a,2),42(a,1))]. given #9221 (H,wt=18): 10984 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(10974(a,1),301(a,1,2)),flip(b)]. given #9222 (H,wt=18): 10993 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10988(a,1),263(a,1,1)),flip(b)]. given #9223 (H,wt=18): 10995 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [hyper(62,a,7170,a,b,10990,a)]. given #9224 (H,wt=16): 11007 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(115,a,10046,a(flip),b,10995,a)]. given #9225 (H,wt=18): 10999 a(x,y,x) \ x != z * u | z \ L(x,y,x) = u. [para(10996(a,1),374(a,1))]. given #9226 (H,wt=18): 11000 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10997(a,2),10958(a,1))]. given #9227 (H,wt=18): 11008 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(6892(a,2),10995(a,1,1))]. given #9228 (H,wt=19): 10965 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10948(a,1),215(a,1,2,1)),flip(a)]. given #9229 (H,wt=11): 11009 T(x,R(a(y,z,y),u,w)) = x. [hyper(219,a,10965,a)]. given #9230 (H,wt=19): 11005 K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. [para(10976(a,1),309(a,1))]. given #9231 (H,wt=14): 11011 a(x,y,x) != z | x \ R(x,y,x) = z. [para(9178(a,1),11005(a,1))]. given #9232 (H,wt=19): 11010 K(x,y) * K(y * x,x) != z | x \ R(x,y,x) = z. [para(7011(a,2),11005(a,1,2))]. given #9233 (H,wt=20): 10975 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(10949(a,1),10918(a,1,2))]. given #9234 (H,wt=20): 10980 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4035(a,1),10972(a,1,2))]. given #9235 (H,wt=20): 11001 R(x,y,x) * (x \ z) != x * u | L(x,y,x) \ z = u. [para(10937(a,2),42(a,1))]. given #9236 (H,wt=20): 11013 x \ R(x,y * K(x,z),x) != u | x \ R(x,y,x) = u. [para(9342(a,2),11010(a,1))]. given #9237 (H,wt=21): 10989 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10978(a,1),10320(a,1,1))]. given #9238 (H,wt=19): 11014 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(286,a,8013,a(flip),b,10989,a),flip(a)]. given #9239 (H,wt=21): 10991 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(116,a,10986,a(flip),b,145,a(flip))]. given #9240 (H,wt=21): 11012 K(x,y) * K(y,y \ x) != z | y \ R(y,y \ x,y) = z. [para(9182(a,2),11011(a,1))]. given #9241 (H,wt=22): 10935 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(10906(a,1),5894(a,1))]. given #9242 (H,wt=22): 10943 x * (y * a(x,z,x)) != u * w | u \ (R(x,z,x) * y) = w. [para(10938(a,2),513(a,1))]. given #9243 (H,wt=22): 10945 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(286,a,9924,a(flip),b,10939,a),flip(a)]. given #9244 (H,wt=22): 10992 a(x,y,x) * (z * x) != u * w | u \ (z * R(x,y,x)) = w. [para(10986(a,2),513(a,1))]. given #9245 (H,wt=22): 10994 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(10988(a,1),490(a,1,1))]. given #9246 (H,wt=22): 11016 (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. [para(10426(a,2),10935(a,1))]. given #9247 (H,wt=23): 10896 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8060(a,2),10892(a,1,1))]. given #9248 (H,wt=23): 10900 T(K(x,K(y,z)) * u,K(x,y)) = (K(x,T(y,z)) * u) * K(y,x). [para(10895(a,1),8118(a,1,1)),flip(a)]. given #9249 (H,wt=23): 10905 T(x / (y / z),K(y / z,z)) = T(x,K(z \ y,z)) / (y / z). [para(4777(a,2),10904(a,2,1,2))]. given #9250 (H,wt=23): 10914 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(10897(a,1),10443(a,1,1,1))]. given #9251 (H,wt=23): 10953 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(10939(a,1),92(a,1,1))]. given #9252 (H,wt=23): 10970 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(4357(a,2),10963(a,2,2))]. given #9253 (H,wt=23): 10982 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10972(a,2),10060(a,1,2))]. given #9254 (H,wt=21): 11019 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(62,a,10097,a(flip),b,10982,a)]. given #9255 (H,wt=23): 11017 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8060(a,2),10896(a,2,2,1))]. given #9256 (H,wt=23): 11018 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(286,a,9513,a(flip),b,10900,a),flip(a)]. given #9257 (H,wt=23): 11021 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(300,a,11017,a),flip(a)]. given #9258 (H,wt=23): 11022 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8060(a,2),11021(a,1,2,1))]. given #9259 (H,wt=24): 10954 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10939(a,1),588(a,1,2,1))]. given #9260 (H,wt=20): 11023 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10948(a,1),10954(a,2,1))]. given #9261 (H,wt=21): 11024 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9186(a,2),11023(a,1,2,1))]. given #9262 (H,wt=19): 11027 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(62,a,10337,a,b,11024,a)]. given #9263 (H,wt=24): 10977 (a(x,y,x) \ z) * K(x,a(x,y,x) \ z) = (L(x,y,x) * z) / x. [hyper(116,a,10969,a(flip),b,4669,a),flip(a)]. given #9264 (H,wt=24): 11026 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10941(a,1),11023(a,1,2,1))]. given #9265 (H,wt=25): 10931 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5867(a,1),10922(a,1,1))]. given #9266 (H,wt=25): 10968 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(286,a,10114,a,b,10944,a)]. given #9267 (H,wt=26): 10926 (K(x,y) * K(y,z)) * u != w * v5 | (K(x,y) * (K(y,z) * u)) / v5 = w. [para(10921(a,1),522(a,1,2))]. given #9268 (H,wt=26): 10967 R(a(x,y,x) \ (z / u),a(x,y,x),u) != w | z / (a(x,y,x) * u) = w. [para(614(a,2),10956(a,1)),flip(b)]. given #9269 (H,wt=27): 10913 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7081(a,1),10897(a,1,2,1)),flip(a)]. given #9270 (H,wt=25): 11030 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7081(a,1),10913(a,1,1))]. given #9271 (H,wt=21): 11031 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(286,a,10245,a(flip),b,11030,a),flip(a)]. given #9272 (H,wt=17): 11032 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(62,a,10257,a(flip),b,11031,a)]. given #9273 (H,wt=17): 11033 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(489,a,11032,a)]. given #9274 (H,wt=20): 11035 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(11032(a,1),258(a,1,2))]. given #9275 (H,wt=21): 11034 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(286,a,10238,a,b,11032,a),flip(a)]. given #9276 (H,wt=24): 11036 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11034(a,2),42(a,1))]. given #9277 (H,wt=27): 10915 T(T(K(x,y) * z,K(u,w)),K(u,w)) = K(y,v5) * (K(x,y) * (K(y,v5) \ z)). [hyper(286,a,8116,a,b,10908,a)]. given #9278 (H,wt=19): 11037 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(39,a,9895,a,b,10915,a),flip(a)]. given #9279 (H,wt=19): 11039 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6570,a,11037,a),flip(a)]. given #9280 (H,wt=19): 11041 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [hyper(115,a,11039,a,b,xx)]. given #9281 (H,wt=19): 11042 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(6883(a,1),11041(a,1,2,1))]. given #9282 (H,wt=19): 11043 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(38,a,6895,a,b,11042,a),flip(a)]. given #9283 (H,wt=19): 11044 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6583,a,11043,a),flip(a)]. given #9284 (H,wt=21): 11045 T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). [hyper(62,a,7639,a(flip),b,11043,a),flip(a)]. given #9285 (H,wt=19): 11049 T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). [para(7613(a,1),11045(a,1,1)),flip(a)]. given #9286 (H,wt=19): 11050 T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). [hyper(6583,a,11049,a),flip(a)]. given #9287 (H,wt=21): 11047 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8062(a,1),11044(a,1,1)),flip(a)]. given #9288 (H,wt=23): 11051 K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). [hyper(62,a,8561,a(flip),b,11050,a),flip(a)]. given #9289 (H,wt=19): 11053 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(110(a,1),11051(a,1,2)),flip(a)]. given #9290 (H,wt=23): 11052 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(11047(a,1),10105(a,1,1))]. given #9291 (H,wt=23): 11054 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8060(a,1),11052(a,2,1))]. given #9292 (H,wt=23): 11055 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8056(a,1),11054(a,2,2))]. given #9293 (H,wt=25): 11048 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9921(a,1),11044(a,2,2))]. given #9294 (H,wt=27): 11020 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(11019(a,1),7675(a,1,2))]. given #9295 (H,wt=25): 11056 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5938,a,11020,a),flip(a)]. given #9296 (H,wt=29): 10923 (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,10910,a(flip),b,4669,a)]. given #9297 (H,wt=29): 11028 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(4635(a,1),11027(a,1,1,2)),flip(a)]. given #9298 (H,wt=23): 11058 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4635(a,1),11028(a,2,2))]. given #9299 (H,wt=29): 11046 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(6249(a,1),11043(a,2,2))]. given #9300 (H,wt=25): 11059 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6249(a,1),11046(a,1,1,2))]. given #9301 (H,wt=25): 11060 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(4492,a,11059,a),flip(a)]. given #9302 (H,wt=25): 11061 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(9477(a,1),11060(a,1,1))]. given #9303 (H,wt=25): 11062 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(286,a,9477,a(flip),b,11061,a),flip(a)]. given #9304 (H,wt=29): 11057 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9232,a,10923,a)]. given #9305 (H,wt=30): 11038 T(x,K(y,z)) != K(u,w) * (K(v5,u) * (K(u,w) \ v6)) | T(K(v5,u) * v6,K(y,z)) = x. [para(10915(a,1),48(a,1)),flip(a)]. given #9306 (H,wt=32): 11063 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(286,a,213,a(flip),b,11062,a),flip(a)]. given #9307 (H,wt=25): 11064 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),11063(a,1,1))]. given #9308 (H,wt=33): 7379 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7310(a,1),7377(a,2,2))]. given #9309 (H,wt=33): 9206 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9186(a,2),751(a,1,2,2,2))]. given #9310 (H,wt=33): 9296 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9085(a,1),9290(a,1,2,1,2,2)),flip(a)]. given #9311 (H,wt=23): 11066 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(286,a,9290,a(flip),b,9296,a),flip(a)]. given #9312 (H,wt=25): 11067 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(9416(a,1),11066(a,1,2,1,2,1))]. given #9313 (H,wt=33): 9567 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(9555(a,1),768(a,1,1,2)),flip(a)]. given #9314 (H,wt=33): 9806 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(6847(a,2),9622(a,2,2,2)),flip(a)]. given #9315 (H,wt=28): 11069 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(286,a,10406,a(flip),b,9806,a),flip(a)]. given #9316 (H,wt=26): 11071 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(286,a,6717,a(flip),b,11069,a),flip(a)]. given #9317 (H,wt=24): 11072 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6847(a,1),11071(a,1,2,2))]. given #9318 (H,wt=24): 11073 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(62,a,10864,a(flip),b,11072,a)]. given #9319 (H,wt=33): 10158 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9853(a,1),6800(a,1,2))]. given #9320 (H,wt=29): 11074 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(10(a,1),10158(a,1,2,2,1))]. given #9321 (H,wt=21): 11075 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(7066,a,11074,a),flip(a)]. given #9322 (H,wt=15): 11077 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11075(a,1),9953(a,1,2))]. given #9323 (H,wt=15): 11078 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(109(a,1),11077(a,1,2,2))]. given #9324 (H,wt=32): 11079 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(7027,a,11078,a),flip(a)]. given #9325 (H,wt=24): 11080 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(6522(a,1),11079(a,1,2,1))]. given #9326 (H,wt=23): 11081 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(7027,a,11080,a),flip(a)]. given #9327 (H,wt=33): 10203 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(286,a,8043,a,b,8224,a)]. given #9328 (H,wt=33): 10636 K(x * (y * z),K(T(y,z),u)) * K(u,(x * (z * y)) / y) = K(u,T(y,z) \ (x * (y * z))). [para(10601(a,1),8725(a,1,2,2))]. given #9329 (H,wt=33): 10637 K(x,(y * (z * u)) / u) * K(x,K(y * (u * z),T(u,z))) = K(x,T(u,z) \ (y * (u * z))). [para(10601(a,1),8730(a,1,1,2))]. given #9330 (H,wt=33): 10775 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,8581,a,b,10774,a)]. given #9331 (H,wt=16): 11083 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(34,a,10888,a,b,10775,a)]. given #9332 (H,wt=16): 11085 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2579(a,1),11083(a,1,2,2))]. given #9333 (H,wt=16): 11086 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(286,a,8077,a,b,11085,a),flip(a)]. given #9334 (H,wt=17): 11089 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(560(a,1),11086(a,1,2,2))]. given #9335 (H,wt=17): 11091 (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. [para(11086(a,1),9101(a,1,2))]. given #9336 (H,wt=17): 11092 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(4885(a,1),11089(a,1,2,2,2))]. given #9337 (H,wt=17): 11093 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(4893(a,1),11089(a,1,2,2,2)),flip(a)]. given #9338 (H,wt=17): 11094 (K(x,K(y,z)) * u) \ 1 = u \ K(x,K(y,z)). [para(8100(a,1),11091(a,1,1)),flip(a)]. given #9339 (H,wt=17): 11096 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(8804(a,1),11092(a,1,2)),flip(a)]. given #9340 (H,wt=17): 11097 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8434,a,11093,a)]. given #9341 (H,wt=17): 11098 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8109,a,11093,a)]. given #9342 (H,wt=17): 11099 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(6434(a,2),11093(a,1,2))]. given #9343 (H,wt=17): 11101 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),11097(a,2,2,2))]. given #9344 (H,wt=17): 11102 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(4885(a,1),11097(a,1,2,2,1))]. given #9345 (H,wt=17): 11103 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [para(6432(a,2),11097(a,1,2))]. given #9346 (H,wt=17): 11104 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(12(a,1),11099(a,2,2,2))]. given #9347 (H,wt=17): 11106 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8058,a,11101,a)]. given #9348 (H,wt=17): 11108 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(11104(a,1),9045(a,2,2))]. given #9349 (H,wt=17): 11109 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(62,a,8409,a(flip),b,11106,a)]. given #9350 (H,wt=16): 11114 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11109(a,1),10359(a,1,1))]. given #9351 (H,wt=16): 11115 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8077(a,1),11114(a,1,1))]. given #9352 (H,wt=16): 11117 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(62,a,9096,a(flip),b,11115,a)]. given #9353 (H,wt=16): 11118 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(73(a,1),11117(a,1,2,2,2))]. given #9354 (H,wt=17): 11110 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(8060(a,1),11108(a,2,2))]. given #9355 (H,wt=17): 11113 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11109(a,1),10089(a,1,1))]. given #9356 (H,wt=17): 11119 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [hyper(535,a,11110,a),flip(a)]. given #9357 (H,wt=17): 11121 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8102,a,11113,a)]. given #9358 (H,wt=17): 11122 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(73(a,1),11113(a,1,2)),flip(a)]. given #9359 (H,wt=17): 11124 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8031(a,1),11121(a,1,1))]. given #9360 (H,wt=17): 11125 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8060(a,1),11122(a,2,1))]. given #9361 (H,wt=17): 11126 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(10091,a,11124,a)]. given #9362 (H,wt=17): 11127 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(175,a,11125,a)]. given #9363 (H,wt=14): 11128 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4747,a,11127,a)]. given #9364 (H,wt=12): 11129 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(52,a,11128,a)]. given #9365 (H,wt=12): 11130 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),11129(a,1,3))]. given #9366 (H,wt=12): 11131 a(K(K(x,y),z),u,u \ z) = 1. [para(7940(a,2),11129(a,1,1))]. given #9367 (H,wt=12): 11132 a(K(x,K(y,z * u)),z,u) = 1. [para(8031(a,1),11130(a,1,1))]. given #9368 (H,wt=18): 11087 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(y,z)). [hyper(62,a,10395,a,b,11085,a)]. given #9369 (H,wt=18): 11088 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11085(a,1),8061(a,1,2)),flip(a)]. given #9370 (H,wt=16): 11135 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(286,a,8035,a(flip),b,11088,a),flip(a)]. given #9371 (H,wt=19): 11090 K(x,K(y,R(z,u,u \ 1))) != w | K(x,K(z,y)) = w. [para(11086(a,2),8109(a,1))]. given #9372 (H,wt=19): 11105 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(11099(a,1),8089(a,2,2))]. given #9373 (H,wt=19): 11136 T(x,K(y,R(z,u,u \ 1))) != w | T(x,K(z,y)) = w. [para(11088(a,2),8037(a,1))]. given #9374 (H,wt=19): 11137 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(62,a,9922,a(flip),b,11135,a)]. given #9375 (H,wt=17): 11140 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7742,a,11137,a)]. given #9376 (H,wt=19): 11138 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [hyper(131,a,11105,a)]. given #9377 (H,wt=18): 11142 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(9472,a,11138,a)]. given #9378 (H,wt=20): 11120 (x / y) \ z != y * K(x,K(u,w)) | T(x,K(u,w)) = z. [para(11110(a,1),46(a,1)),flip(a)]. given #9379 (H,wt=22): 11133 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(286,a,8098,a,b,11131,a),flip(a)]. given #9380 (H,wt=23): 11100 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11096(a,1),8069(a,1,2))]. given #9381 (H,wt=19): 11144 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(62,a,8054,a(flip),b,11100,a),flip(a)]. given #9382 (H,wt=19): 11145 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7723(a,2),11144(a,2,1))]. given #9383 (H,wt=17): 11146 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8427(a,1),11145(a,2,1))]. given #9384 (H,wt=20): 11147 T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. [para(11146(a,2),45(a,1))]. given #9385 (H,wt=23): 11107 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(62,a,9961,a(flip),b,11103,a),flip(a)]. given #9386 (H,wt=19): 11149 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8703,a,11107,a),flip(a)]. given #9387 (H,wt=19): 11150 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8422,a,11149,a)]. given #9388 (H,wt=23): 11148 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11146(a,2),6605(a,1,1))]. given #9389 (H,wt=27): 11143 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11118(a,1),11133(a,2,2))]. given #9390 (H,wt=27): 11152 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8060(a,2),11143(a,2,2))]. given #9391 (H,wt=27): 11153 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7940(a,1),11152(a,1,1))]. given #9392 (H,wt=33): 10839 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(7143,a,10838,a)]. given #9393 (H,wt=31): 11154 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10839(a,1),10624(a,1))]. given #9394 (H,wt=20): 11155 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(11154,a,10670,a)]. given #9395 (H,wt=28): 11156 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10586,a(flip),b,11155,a),flip(a)]. given #9396 (H,wt=24): 11158 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10691,a(flip),b,11156,a)]. given #9397 (H,wt=22): 11159 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,7018,a(flip),b,11158,a)]. given #9398 (H,wt=22): 11160 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8880,a,11159,a)]. given #9399 (H,wt=22): 11161 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(286,a,10213,a(flip),b,11160,a),flip(a)]. given #9400 (H,wt=20): 11162 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(64(a,1),11161(a,2,1))]. given #9401 (H,wt=28): 11157 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10585,a(flip),b,11155,a),flip(a)]. given #9402 (H,wt=24): 11164 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10691,a(flip),b,11157,a)]. given #9403 (H,wt=24): 11165 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10722,a(flip),b,11164,a)]. given #9404 (H,wt=24): 11166 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(286,a,10348,a(flip),b,11165,a),flip(a)]. given #9405 (H,wt=24): 11167 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8880,a,11166,a)]. given #9406 (H,wt=21): 11168 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,11162,a(flip),b,11167,a),flip(a)]. given #9407 (H,wt=21): 11169 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(62,a,10348,a,b,11168,a)]. given #9408 (H,wt=21): 11170 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(62,a,10211,a,b,11168,a)]. given #9409 (H,wt=21): 11172 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,10213,a,b,11170,a)]. given #9410 (H,wt=22): 11171 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(62,a,9770,a(flip),b,11168,a),flip(a)]. given #9411 (H,wt=33): 11068 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6595(a,1),9567(a,2,1))]. given #9412 (H,wt=33): 11173 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(286,a,6892,a(flip),b,11068,a),flip(a)]. given #9413 (H,wt=33): 11174 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6595(a,1),11173(a,1,1,1))]. given #9414 (H,wt=33): 11175 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1899(a,2),11174(a,1,1))]. given #9415 (H,wt=33): 11176 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2787(a,1),11175(a,1,1,1,1,2))]. given #9416 (H,wt=25): 11177 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9911(a,1),11176(a,1,1,1))]. given #9417 (H,wt=21): 11178 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(791,a,11177,a),flip(a)]. given #9418 (H,wt=21): 11180 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2796(a,2),11178(a,1,1,2))]. given #9419 (H,wt=13): 11181 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(33,a,9133,a,b,11180,a)]. given #9420 (H,wt=19): 11183 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(9634,a,11181,a)]. given #9421 (H,wt=19): 11184 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(62,a,8888,a,b,11183,a)]. given #9422 (H,wt=24): 11182 (x * (R(y,z,u) * K(w,y))) * v5 != x * R(y,z,u) | K(y,w) = v5. [para(11180(a,1),42(a,1)),flip(a)]. given #9423 (H,wt=34): 4455 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4449(a,2),14(a,2,2,1)),flip(a)]. given #9424 (H,wt=34): 4534 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). [hyper(2190,a,4442,a),flip(a)]. given #9425 (H,wt=34): 4537 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(655,a,4456,a),flip(a)]. given #9426 (H,wt=34): 6637 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6623(a,2),4761(a,1,1))]. given #9427 (H,wt=34): 6848 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(6820(a,1),1161(a,1,2,2)),flip(a)]. given #9428 (H,wt=32): 11196 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(4659(a,2),6848(a,2,1,2))]. given #9429 (H,wt=30): 11197 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6811(a,1),11196(a,2,2))]. given #9430 (H,wt=25): 11198 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6820(a,1),11197(a,1,3))]. given #9431 (H,wt=21): 11199 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(11198(a,2),473(a,1))]. given #9432 (H,wt=11): 11201 R(x,y,T(z,y)) = R(x,y,z). [hyper(11199,a,10592,a)]. given #9433 (H,wt=15): 11205 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(62,a,8135,a,b,11201,a)]. given #9434 (H,wt=15): 11209 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7723(a,2),11201(a,1,3))]. given #9435 (H,wt=16): 11207 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(11201(a,1),462(a,1,1))]. given #9436 (H,wt=16): 11212 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(116,a,142,a(flip),b,11207,a)]. given #9437 (H,wt=17): 11202 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(11199,a,8923,a)]. given #9438 (H,wt=18): 11203 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(11199,a,31,a),flip(a)]. given #9439 (H,wt=15): 11216 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7653(a,1),11203(a,1,1)),flip(a)]. given #9440 (H,wt=16): 11217 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(286,a,4020,a(flip),b,11216,a),flip(a)]. given #9441 (H,wt=16): 11218 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(286,a,3990,a(flip),b,11216,a),flip(a)]. given #9442 (H,wt=13): 11223 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(1310,a,11218,a)]. given #9443 (H,wt=13): 11224 T(x,x * (y / T(x,z))) = T(x,y). [para(77(a,1),11223(a,1,2)),flip(a)]. given #9444 (H,wt=22): 11220 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(11216(a,1),1135(a,1,1))]. given #9445 (H,wt=23): 11211 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9007(a,1),11205(a,1,2))]. given #9446 (H,wt=23): 11226 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7723(a,2),11211(a,1,2))]. given #9447 (H,wt=24): 11210 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(11201(a,1),10411(a,2,2))]. given #9448 (H,wt=22): 11228 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(286,a,10408,a(flip),b,11210,a),flip(a)]. given #9449 (H,wt=17): 11229 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7173,a,11228,a)]. given #9450 (H,wt=17): 11230 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(25(a,2),11229(a,1,3))]. given #9451 (H,wt=25): 11221 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4635(a,1),11216(a,1,1)),flip(a)]. given #9452 (H,wt=19): 11232 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4635(a,1),11221(a,1,1)),flip(a)]. given #9453 (H,wt=13): 11233 R(x,y,x * K(z,x)) = R(x,y,x). [para(4635(a,1),11232(a,1,3)),flip(a)]. given #9454 (H,wt=17): 11234 R(x \ y,z,x \ y) = R(x \ y,z,y / x). [para(4672(a,1),11233(a,1,3)),flip(a)]. given #9455 (H,wt=27): 11213 K(R(x / y,y,z),T(u,z * y)) != w | K((z * y) \ (x * T(z,y)),u) = w. [para(11212(a,1),7988(a,1,1))]. given #9456 (H,wt=27): 11231 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(62,a,2522,a(flip),b,11230,a)]. given #9457 (H,wt=25): 11235 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(62,a,9166,a(flip),b,11231,a)]. given #9458 (H,wt=25): 11236 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(62,a,10703,a,b,11235,a)]. given #9459 (H,wt=28): 11215 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(11202(a,2),5860(a,1,1))]. given #9460 (H,wt=24): 11237 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8120(a,1),11215(a,1,1,3))]. given #9461 (H,wt=24): 11238 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5839(a,1),11237(a,2,2))]. given #9462 (H,wt=28): 11227 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11226(a,1),10450(a,2,1))]. given #9463 (H,wt=27): 11239 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(286,a,11238,a(flip),b,11227,a),flip(a)]. given #9464 (H,wt=27): 11240 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7777(a,1),11239(a,1,1,2))]. given #9465 (H,wt=25): 11241 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8146(a,1),11240(a,1,2))]. given #9466 (H,wt=30): 11222 (T(x,y) \ R(T(x,y),z,x)) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. [para(11216(a,1),10887(a,1,1,2))]. given #9467 (H,wt=26): 11243 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(y * T(x,z),z)) * u. [para(7918(a,1),11222(a,1,1))]. given #9468 (H,wt=29): 11245 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) != w * u | K(x,T(y * T(x,z),z)) = w. [para(11243(a,2),43(a,1))]. given #9469 (H,wt=32): 11225 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(7923(a,1),11220(a,1,2,1))]. given #9470 (H,wt=28): 11247 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(8125(a,1),11225(a,1,2))]. given #9471 (H,wt=24): 11248 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(286,a,8928,a(flip),b,11247,a),flip(a)]. given #9472 (H,wt=34): 7158 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,u \ 1)) = a(u,u \ 1,L(z,y,x)). [para(18(a,2),7000(a,2,3))]. given #9473 (H,wt=30): 11250 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,u \ 1))) = a(u,u \ 1,L(z,y,x)). [para(890(a,1),7158(a,1,2))]. given #9474 (H,wt=28): 11251 (x * y) \ (x * (y * (z * R(z \ 1,u,u \ 1)))) = a(u,u \ 1,L(z,y,x)). [para(889(a,1),11250(a,1,2,2))]. given #9475 (H,wt=24): 11252 (x * y) \ (x * (y * a(z,z \ 1,u))) = a(z,z \ 1,L(u,y,x)). [para(6712(a,1),11251(a,1,2,2,2))]. given #9476 (H,wt=19): 11253 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [hyper(439,a,11252,a),flip(a)]. given #9477 (H,wt=21): 11255 a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). [para(7002(a,1),11253(a,2,1))]. given #9478 (H,wt=23): 11254 a(x \ 1,(x \ 1) \ 1,L(y,z,u)) = L(a(x \ 1,x,y),z,u). [para(4893(a,1),11253(a,2,1,2))]. given #9479 (H,wt=19): 11256 a(x \ 1,x,L(y,z,u)) = L(a(x \ 1,x,y),z,u). [para(4893(a,1),11254(a,1,2))]. given #9480 (H,wt=21): 11257 a(x \ 1,x,L(y \ 1,z,u)) = L(a(y,x \ 1,x),z,u). [para(6528(a,1),11256(a,2,1))]. given #9481 (H,wt=34): 8495 ((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(8493(a,1),93(a,1,2,2,1))]. given #9482 (H,wt=34): 9264 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3888(a,1),9259(a,2,2,2,2))]. given #9483 (H,wt=34): 10082 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2034(a,2),10067(a,2,2,1,2))]. given #9484 (H,wt=32): 11258 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9805(a,1),10082(a,1,1))]. given #9485 (H,wt=27): 11259 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9237,a,11258,a),flip(a)]. given #9486 (H,wt=21): 11260 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2034(a,1),11259(a,1,2,1,2))]. given #9487 (H,wt=21): 11261 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(62,a,9838,a(flip),b,11260,a)]. given #9488 (H,wt=21): 11262 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,7442,a(flip),b,11261,a),flip(a)]. given #9489 (H,wt=34): 10258 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(6249(a,1),10247(a,1,1))]. given #9490 (H,wt=30): 11264 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(9482(a,1),10258(a,1,2))]. given #9491 (H,wt=26): 11265 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(6249(a,1),11264(a,2,3))]. given #9492 (H,wt=34): 10449 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(7898(a,2),741(a,1))]. given #9493 (H,wt=34): 10879 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(5741(a,1),10878(a,1,2))]. given #9494 (H,wt=34): 11185 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3490(a,1),4455(a,1,1,2))]. given #9495 (H,wt=34): 11195 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8060(a,1),6637(a,1,2,2))]. given #9496 (H,wt=34): 11266 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(6072,a,10879,a)]. given #9497 (H,wt=34): 11267 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3490(a,1),11185(a,1,2))]. given #9498 (H,wt=34): 11271 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7723(a,2),11195(a,2,1,1))]. given #9499 (H,wt=32): 11277 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7782(a,1),11271(a,2,1))]. given #9500 (H,wt=25): 11278 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(286,a,9126,a(flip),b,11277,a),flip(a)]. given #9501 (H,wt=33): 11281 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7257(a,2),11278(a,1,1))]. given #9502 (H,wt=25): 11282 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(8805(a,1),11281(a,1,2,2))]. given #9503 (H,wt=23): 11283 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [hyper(305,a,11282,a)]. given #9504 (H,wt=23): 11284 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5865,a,11283,a)]. given #9505 (H,wt=23): 11285 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7258(a,1),11284(a,1,1))]. given #9506 (H,wt=21): 11286 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(286,a,8853,a(flip),b,11285,a),flip(a)]. given #9507 (H,wt=15): 11287 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(62,a,7374,a(flip),b,11286,a)]. given #9508 (H,wt=24): 11288 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11287(a,1),7050(a,1,1,1,2))]. given #9509 (H,wt=22): 11289 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4659(a,2),11288(a,1,1,1))]. given #9510 (H,wt=18): 11290 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(7941,a,11289,a)]. given #9511 (H,wt=21): 11291 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11290(a,1),11248(a,1,1))]. given #9512 (H,wt=34): 11272 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8496,a,11266,a)]. given #9513 (H,wt=34): 11273 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4446,a,11267,a)]. given #9514 (H,wt=34): 11293 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4457(a,1),11273(a,1,1))]. given #9515 (H,wt=27): 11297 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(14(a,2),11293(a,1,1,1))]. given #9516 (H,wt=15): 11301 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6909,a,11297,a),flip(a)]. given #9517 (H,wt=13): 11306 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1402(a,1),11301(a,1,2))]. given #9518 (H,wt=35): 4801 (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(4781(a,1),1776(a,1,1,2,2,1)),flip(a)]. given #9519 (H,wt=35): 6513 ((T(x,y) \ 1) * z) \ (K(y,x) * ((x \ 1) * (z * u))) = L(L(u,z,x \ 1),(x \ 1) * z,K(y,x)). [para(6510(a,1),430(a,1,1))]. given #9520 (H,wt=33): 11308 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = ((T(z,u) \ 1) * y) \ ((T(z,u) \ 1) * (y * x)). [para(6510(a,1),6513(a,1,2)),flip(a)]. given #9521 (H,wt=24): 11309 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z,u) \ 1). [hyper(286,a,18,a,b,11308,a),flip(a)]. given #9522 (H,wt=27): 11310 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) != w | L(x,y,T(z,u) \ 1) = w. [para(11308(a,2),439(a,1))]. given #9523 (H,wt=35): 6653 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(6652(a,1),550(a,1,2))]. given #9524 (H,wt=15): 11311 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(6653,a,8642,a)]. given #9525 (H,wt=13): 11312 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9175(a,1),11311(a,1,3))]. given #9526 (H,wt=19): 11313 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(11312(a,1),384(a,1,1)),flip(a)]. given #9527 (H,wt=20): 11314 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(11313(a,1),9203(a,1,1))]. given #9528 (H,wt=35): 7278 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(6923(a,1),7276(a,2,1))]. given #9529 (H,wt=32): 11316 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(9239,a,7278,a(flip)),flip(a)]. given #9530 (H,wt=27): 11317 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(163(a,1),11316(a,2,1,2))]. given #9531 (H,wt=13): 11318 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1667(a,1),11317(a,1,2)),flip(a)]. given #9532 (H,wt=11): 11321 a(x,L(y,z,u),K(w,y)) = 1. [hyper(52,a,11318,a)]. given #9533 (H,wt=19): 11319 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(8997,a,11318,a)]. given #9534 (H,wt=21): 11320 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(62,a,7069,a(flip),b,11318,a),flip(a)]. given #9535 (H,wt=35): 7553 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(76(a,1),7542(a,1,1,2)),flip(a)]. given #9536 (H,wt=31): 11322 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(76(a,1),7553(a,2,2,2,1,1,2))]. given #9537 (H,wt=27): 11323 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(76(a,1),11322(a,1,2))]. given #9538 (H,wt=25): 11324 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11323(a,1),7524(a,1,1))]. given #9539 (H,wt=19): 11325 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(7218,a,11324,a)]. given #9540 (H,wt=17): 11328 K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). [hyper(286,a,5970,a(flip),b,11325,a),flip(a)]. given #9541 (H,wt=17): 11331 K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). [para(12(a,1),11328(a,1,2,2,1)),flip(a)]. given #9542 (H,wt=19): 11327 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10825,a,11325,a),flip(a)]. given #9543 (H,wt=19): 11333 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,9331,a(flip),b,11327,a)]. given #9544 (H,wt=21): 11334 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11333(a,1),4659(a,2,2)),flip(a)]. given #9545 (H,wt=22): 11326 K(x,y / ((z * x) * u)) != w | K(x,y / ((z * u) * x)) = w. [para(11324(a,1),7218(a,1))]. given #9546 (H,wt=22): 11330 K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. [para(11325(a,1),10825(a,1))]. given #9547 (H,wt=24): 11332 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10380,a,11327,a),flip(a)]. given #9548 (H,wt=20): 11335 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(10(a,1),11332(a,1,2,2,2)),flip(a)]. given #9549 (H,wt=15): 11336 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(20(a,2),11335(a,2,2))]. given #9550 (H,wt=10): 11338 K(x,R(y,x,z)) = K(x,y). [hyper(10813,a,11336,a),flip(a)]. given #9551 (H,wt=10): 11341 K(R(x,y,z),y) = K(x,y). [hyper(62,a,9848,a,b,11338,a)]. given #9552 (H,wt=13): 11347 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(286,a,11338,a,b,11341,a),flip(a)]. given #9553 (H,wt=14): 11343 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(62,a,7405,a(flip),b,11338,a)]. given #9554 (H,wt=15): 11342 K(x,x \ (y / z)) = K(x,y / (z * x)). [hyper(62,a,10163,a(flip),b,11338,a),flip(a)]. given #9555 (H,wt=15): 11349 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11347(a,2),4659(a,2,2))]. given #9556 (H,wt=10): 11356 T(x,R(y,x,z)) = T(x,y). [hyper(286,a,7672,a(flip),b,11349,a),flip(a)]. given #9557 (H,wt=15): 11350 K(x \ (y / z),x) = K(y / (x * z),x). [hyper(6496,a,11343,a),flip(a)]. given #9558 (H,wt=15): 11351 K(x,x \ (y / z)) = K(x,(x \ y) / z). [hyper(286,a,9723,a,b,11342,a),flip(a)]. given #9559 (H,wt=15): 11353 K(x,x \ (y / z)) = K(x,y / (x * z)). [hyper(286,a,9324,a(flip),b,11342,a),flip(a)]. given #9560 (H,wt=15): 11359 K(x \ (y / z),x) = K((x \ y) / z,x). [hyper(286,a,9679,a,b,11350,a),flip(a)]. given #9561 (H,wt=15): 11360 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),11351(a,2,2,1))]. given #9562 (H,wt=16): 11344 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),11338(a,1,2))]. given #9563 (H,wt=17): 11340 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(62,a,9943,a,b,11338,a)]. given #9564 (H,wt=17): 11366 ((x * y) * z) * K(y,T(x,z)) = (y * x) * z. [hyper(131,a,11340,a)]. given #9565 (H,wt=19): 11352 K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). [hyper(286,a,11325,a(flip),b,11342,a),flip(a)]. given #9566 (H,wt=19): 11362 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11359(a,2),7837(a,1,1))]. given #9567 (H,wt=17): 11370 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7768,a,11362,a)]. given #9568 (H,wt=17): 11371 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(62,a,9471,a(flip),b,11370,a)]. given #9569 (H,wt=19): 11369 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(286,a,9332,a(flip),b,11352,a),flip(a)]. given #9570 (H,wt=19): 11373 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(62,a,11360,a(flip),b,11369,a),flip(a)]. given #9571 (H,wt=20): 11367 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11366(a,1),301(a,1,2)),flip(b)]. given #9572 (H,wt=21): 11345 K(1 / x,T(y / (1 / x),z)) = K(1 / x,T(y * x,z)). [para(908(a,1),11338(a,1,2)),flip(a)]. given #9573 (H,wt=21): 11361 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11353(a,2),11334(a,1,2))]. given #9574 (H,wt=19): 11375 T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [hyper(4663,a,11361,a)]. given #9575 (H,wt=21): 11368 ((x * y) * z) * K(y,T(x,(y * x) * z)) = (y * x) * z. [para(9428(a,2),11366(a,1,2))]. given #9576 (H,wt=15): 11376 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(7853,a,11368,a)]. given #9577 (H,wt=10): 11377 L(x,y * z,K(z,y)) = x. [hyper(4753,a,11376,a)]. given #9578 (H,wt=11): 11390 L(x,T(y,z),z) = L(x,y,z). [hyper(7296,a,11377,a)]. given #9579 (H,wt=13): 11391 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(62,a,7481,a(flip),b,11377,a)]. given #9580 (H,wt=13): 11395 L(x,y \ z,y) = L(x,z / y,y). [para(110(a,1),11390(a,1,2))]. given #9581 (H,wt=13): 11401 L(x,y,y \ z) = L(x,y,z / y). [para(4672(a,1),11391(a,1,3)),flip(a)]. given #9582 (H,wt=14): 11393 L(x,y,z) != u | L(x,T(y,z),z) = u. [para(11377(a,1),7296(a,1))]. given #9583 (H,wt=15): 11378 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(546,a,11376,a)]. given #9584 (H,wt=15): 11380 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(300,a,11376,a),flip(a)]. given #9585 (H,wt=15): 11381 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(62,a,10815,a(flip),b,11376,a)]. given #9586 (H,wt=10): 11411 L(x,K(y,z),z * y) = x. [hyper(747,a,11381,a)]. given #9587 (H,wt=13): 11417 L(x,K(y,z),z * y) != u | x = u. [para(11411(a,1),49(a,2))]. given #9588 (H,wt=15): 11399 L(x,K(y,T(z,u)),u) = L(x,K(y,z),u). [para(7723(a,2),11390(a,1,2))]. given #9589 (H,wt=15): 11413 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(115,a,10,a(flip),b,11381,a),flip(a)]. given #9590 (H,wt=16): 11392 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(62,a,7295,a(flip),b,11377,a),flip(a)]. given #9591 (H,wt=16): 11394 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(62,a,449,a(flip),b,11390,a),flip(a)]. given #9592 (H,wt=16): 11398 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11390(a,1),437(a,1,2))]. given #9593 (H,wt=16): 11423 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(182,a,11392,a(flip))]. given #9594 (H,wt=17): 11382 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),11376(a,1,2,1))]. given #9595 (H,wt=17): 11404 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [para(73(a,1),11401(a,2,3))]. given #9596 (H,wt=17): 11407 x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. [hyper(311,a,11378,a)]. given #9597 (H,wt=17): 11408 x \ (K(x / y,y) * z) = (y * (x / y)) \ z. [para(12(a,1),11378(a,1,1))]. given #9598 (H,wt=17): 11410 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [para(10(a,1),11380(a,1,2,1))]. given #9599 (H,wt=17): 11412 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(512,a,11381,a)]. given #9600 (H,wt=17): 11429 x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. [para(4777(a,2),11408(a,1,2,1))]. given #9601 (H,wt=17): 11431 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(131,a,11429,a)]. given #9602 (H,wt=17): 11433 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(33,a,5846,a(flip),b,11431,a),flip(a)]. given #9603 (H,wt=17): 11434 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [hyper(131,a,11433,a),flip(a)]. given #9604 (H,wt=18): 11416 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(286,a,11390,a,b,11411,a),flip(a)]. given #9605 (H,wt=18): 11419 (x * y) \ (y * (x * z)) = K(x,y) \ L(z,x,y). [hyper(115,a,18,a,b,11413,a),flip(a)]. given #9606 (H,wt=18): 11424 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5745(a,1),11392(a,2,2,2)),flip(a)]. given #9607 (H,wt=17): 11436 L(K(x,y) * z,y,x) = K(y,x) \ L(z,y,x). [hyper(62,a,11419,a(flip),b,11424,a),flip(a)]. given #9608 (H,wt=17): 11437 L(K(x,y) * z,y,x) = K(x,y) * L(z,y,x). [hyper(286,a,5839,a(flip),b,11436,a),flip(a)]. given #9609 (H,wt=19): 11379 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [hyper(532,a,11376,a)]. given #9610 (H,wt=19): 11432 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [hyper(286,a,11410,a,b,11431,a)]. given #9611 (H,wt=17): 11439 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [hyper(33,a,11412,a,b,11432,a(flip))]. given #9612 (H,wt=19): 11438 (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). [hyper(115,a,10605,a,b,11379,a(flip))]. given #9613 (H,wt=20): 11430 ((x \ y) * x) * z != y * u | K(x \ y,x) * z = u. [para(11412(a,1),42(a,1))]. given #9614 (H,wt=21): 11372 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11371(a,1),6895(a,1,1,2)),flip(a)]. given #9615 (H,wt=17): 11441 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(286,a,6895,a(flip),b,11372,a),flip(a)]. given #9616 (H,wt=17): 11442 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7981,a,11441,a)]. given #9617 (H,wt=17): 11443 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(73(a,1),11442(a,1,2,1,2)),flip(a)]. given #9618 (H,wt=21): 11421 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(8032(a,1),11413(a,1,1))]. given #9619 (H,wt=22): 11364 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(62,a,7408,a,b,11344,a)]. given #9620 (H,wt=19): 11445 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11338(a,1),11364(a,1,1))]. given #9621 (H,wt=22): 11374 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11373(a,1),7421(a,1))]. given #9622 (H,wt=22): 11384 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(81(a,1),11376(a,1,2))]. given #9623 (H,wt=22): 11385 (x * y) * ((y * x) \ z) != u * w | u \ (K(x,y) * z) = w. [para(11376(a,1),546(a,1))]. given #9624 (H,wt=22): 11405 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(11401(a,2),8219(a,1,1))]. given #9625 (H,wt=22): 11418 L(K(x,T(y,z)) * u,K(y,x),z) = (K(y,x) * z) \ (z * u). [hyper(62,a,10079,a(flip),b,11399,a),flip(a)]. given #9626 (H,wt=22): 11427 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(11382(a,1),8620(a,1,2,1))]. given #9627 (H,wt=24): 11426 K(x \ y,x) * (y * z) != u * w | u \ (((x \ y) * x) * z) = w. [para(11382(a,2),513(a,1))]. given #9628 (H,wt=25): 11363 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4115(a,1),11360(a,1,2,2))]. given #9629 (H,wt=21): 11450 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(62,a,10580,a(flip),b,11363,a),flip(a)]. given #9630 (H,wt=25): 11387 K(x,(x * y) / x) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(3662(a,2),11376(a,2,1))]. given #9631 (H,wt=25): 11409 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5767(a,1),11378(a,1,2))]. given #9632 (H,wt=23): 11453 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3938(a,1),11409(a,1,2))]. given #9633 (H,wt=25): 11415 (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). [para(8581(a,1),11381(a,1,2))]. given #9634 (H,wt=25): 11425 K(x \ y,x) * ((x \ y) \ (y * z)) = (x \ y) \ (((x \ y) * x) * z). [hyper(115,a,11382,a(flip),b,5733,a),flip(a)]. given #9635 (H,wt=19): 11455 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(6209,a,11425,a),flip(a)]. given #9636 (H,wt=25): 11451 K(x,x \ (x * y)) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(4788(a,2),11387(a,1,1))]. given #9637 (H,wt=21): 11456 K(x,y) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(9(a,1),11451(a,1,1,2))]. given #9638 (H,wt=17): 11457 K(x,y) * ((x * y) * z) = (T(x,y) * y) * z. [para(12(a,1),11456(a,1,2,1))]. given #9639 (H,wt=26): 11428 (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,(y * x) \ y) * z). [para(195(a,2),11407(a,2,1,1)),flip(a)]. given #9640 (H,wt=24): 11459 (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,x \ 1) * z). [para(6719(a,1),11428(a,2,2,1))]. given #9641 (H,wt=23): 11461 (x * K(y,y \ (x \ 1))) \ z = x \ (K(x * y,y \ 1) * z). [para(10662(a,1),11459(a,1,1))]. given #9642 (H,wt=27): 11383 K(x * y,R(z,x,y)) * (((z * x) * y) * u) = ((x * y) * R(z,x,y)) * u. [para(104(a,1),11376(a,1,2,1))]. given #9643 (H,wt=28): 11358 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(487(a,1),11356(a,1,2))]. given #9644 (H,wt=28): 11444 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(62,a,9264,a,b,11443,a)]. given #9645 (H,wt=28): 11454 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(104(a,1),11453(a,2,2))]. given #9646 (H,wt=21): 11464 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(286,a,14,a,b,11454,a)]. given #9647 (H,wt=21): 11465 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(131,a,11464,a(flip))]. given #9648 (H,wt=28): 11462 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,11358,a)]. given #9649 (H,wt=28): 11463 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4371(a,2),11444(a,2,2))]. given #9650 (H,wt=26): 11467 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(286,a,9800,a(flip),b,11463,a),flip(a)]. given #9651 (H,wt=24): 11468 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(286,a,8423,a(flip),b,11467,a),flip(a)]. given #9652 (H,wt=15): 11469 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(10625,a,11468,a),flip(a)]. given #9653 (H,wt=17): 11471 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(286,a,9073,a,b,11469,a)]. given #9654 (H,wt=23): 11472 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11471(a,1),4667(a,2,1)),flip(a)]. given #9655 (H,wt=19): 11473 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(62,a,9903,a(flip),b,11472,a),flip(a)]. given #9656 (H,wt=23): 11474 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11473(a,2),6195(a,1,2))]. given #9657 (H,wt=19): 11475 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(262,a,11474,a)]. given #9658 (H,wt=28): 11466 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(286,a,3932,a,b,11462,a),flip(a)]. given #9659 (H,wt=28): 11476 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(286,a,27,a,b,11466,a),flip(a)]. given #9660 (H,wt=28): 11477 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11375(a,2),11476(a,1,1))]. given #9661 (H,wt=20): 11478 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),11477(a,1,1,2,2)),flip(a)]. given #9662 (H,wt=17): 11479 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(643,a,11478,a),flip(a)]. given #9663 (H,wt=17): 11481 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(62,a,936,a(flip),b,11479,a)]. given #9664 (H,wt=17): 11483 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(594(a,1),11479(a,1,1)),flip(a)]. given #9665 (H,wt=19): 11482 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(9(a,1),11479(a,1,1,2)),flip(a)]. given #9666 (H,wt=19): 11484 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(9003(a,1),11479(a,1,1)),flip(a)]. given #9667 (H,wt=21): 11487 K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). [para(11483(a,1),7445(a,1,2,1))]. given #9668 (H,wt=22): 11489 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(7394(a,1),11484(a,1,1))]. given #9669 (H,wt=22): 11490 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7723(a,2),11489(a,2,1))]. given #9670 (H,wt=24): 11488 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1122(a,1),11482(a,1,1)),flip(a)]. given #9671 (H,wt=21): 11492 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(286,a,210,a(flip),b,11488,a),flip(a)]. given #9672 (H,wt=21): 11493 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(27(a,2),11492(a,2,1))]. given #9673 (H,wt=20): 11494 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(286,a,597,a(flip),b,11493,a),flip(a)]. given #9674 (H,wt=25): 11495 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11494(a,1),4623(a,1,1))]. given #9675 (H,wt=20): 11496 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4860,a,11495,a),flip(a)]. given #9676 (H,wt=20): 11497 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8880,a,11496,a)]. given #9677 (H,wt=20): 11498 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(286,a,10346,a,b,11497,a),flip(a)]. given #9678 (H,wt=29): 11386 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(11376(a,1),448(a,1,2))]. given #9679 (H,wt=29): 11452 (x * y) \ (T(x,y) * R(T(x,z) \ (x * z),u,w)) = (y * x) \ (R(z,u,w) * x). [para(3922(a,2),11409(a,1,2,2,1))]. given #9680 (H,wt=29): 11480 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11478(a,1),6381(a,1,2,1))]. given #9681 (H,wt=20): 11501 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6382,a,11480,a),flip(a)]. given #9682 (H,wt=29): 11499 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5885(a,1),11386(a,1,1))]. given #9683 (H,wt=27): 11504 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4675(a,1),11499(a,1,1,2)),flip(a)]. given #9684 (H,wt=23): 11505 L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. [para(11504(a,2),855(a,1))]. given #9685 (H,wt=30): 11449 L(K(x,T(y,K(y,x) \ z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). [hyper(286,a,147,a(flip),b,11418,a),flip(a)]. given #9686 (H,wt=26): 11506 L(K(x,T(y,z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). [para(8757(a,1),11449(a,1,1,1,2))]. given #9687 (H,wt=26): 11507 L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(y,x) \ z) * u). [para(5839(a,1),11506(a,1,3))]. given #9688 (H,wt=26): 11509 L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(x,y) * z) * u). [para(5839(a,1),11507(a,2,2,1))]. given #9689 (H,wt=31): 11329 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),11325(a,1,2,2)),flip(a)]. given #9690 (H,wt=31): 11486 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(6100(a,1),11481(a,2,1))]. given #9691 (H,wt=26): 11511 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(286,a,8488,a(flip),b,11486,a),flip(a)]. given #9692 (H,wt=24): 11512 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(8364(a,1),11511(a,1,1)),flip(a)]. given #9693 (H,wt=31): 11500 (x * y) \ (T(x,y) * R(T(x,z) \ (x * z),u,w)) = (y * x) \ (x * R(T(z,x),u,w)). [para(215(a,2),11452(a,2,2))]. given #9694 (H,wt=31): 11503 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(11501(a,1),4594(a,1,1,2))]. given #9695 (H,wt=28): 11515 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(6098(a,1),11503(a,1,1))]. given #9696 (H,wt=28): 11516 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,11515,a)]. given #9697 (H,wt=25): 11517 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4594(a,1),11516(a,1,1)),flip(a)]. given #9698 (H,wt=25): 11518 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(286,a,29,a(flip),b,11517,a),flip(a)]. given #9699 (H,wt=31): 11510 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(286,a,7777,a(flip),b,11329,a),flip(a)]. given #9700 (H,wt=27): 11520 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(286,a,9425,a(flip),b,11510,a),flip(a)]. given #9701 (H,wt=27): 11521 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7981,a,11520,a)]. given #9702 (H,wt=23): 11522 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(62,a,11067,a(flip),b,11521,a)]. given #9703 (H,wt=19): 11524 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,9430,a(flip),b,11522,a)]. given #9704 (H,wt=19): 11525 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(11427,a,11524,a),flip(a)]. given #9705 (H,wt=17): 11526 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(65(a,1),11525(a,1,2,2))]. given #9706 (H,wt=32): 11355 K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). [para(11342(a,2),10666(a,1,1))]. given #9707 (H,wt=33): 11388 K(x * y,x / (x * y)) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(6740(a,1),11376(a,2,1))]. given #9708 (H,wt=33): 11514 (x * y) \ (T(x,y) * R(T(x,z) \ (x * z),u,w)) = (y * x) \ (x * R(x \ (z * x),u,w)). [para(22(a,1),11500(a,2,2,2,1))]. given #9709 (H,wt=33): 11527 K(x * y,(x * y) \ x) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(4788(a,2),11388(a,1,1))]. given #9710 (H,wt=31): 11529 K(x * y,y \ 1) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(6719(a,1),11527(a,1,1))]. given #9711 (H,wt=23): 11530 (x * K(x * y,y \ 1)) * z = K(x * y,y \ 1) * (x * z). [para(12(a,1),11529(a,1,2,1)),flip(a)]. given #9712 (H,wt=35): 8355 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),7899(a,1,1))]. given #9713 (H,wt=35): 8732 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2586(a,1),8726(a,2,2))]. given #9714 (H,wt=31): 11534 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(4884(a,1),8732(a,1,1,2,2,2))]. given #9715 (H,wt=29): 11535 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(8688(a,1),11534(a,1,1))]. given #9716 (H,wt=19): 11536 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(33,a,10509,a(flip),b,11535,a),flip(a)]. given #9717 (H,wt=15): 11538 K(x,(y / z) / y) = K(x,y / (y * z)). [para(4884(a,1),11536(a,1,2,1,2))]. given #9718 (H,wt=32): 11537 K(x,1 / (1 / (y \ (y / z)))) != K(y,K(x,z)) * u | K(x,(y / (1 / (1 / z))) / y) = u. [para(11535(a,1),42(a,1))]. given #9719 (H,wt=35): 9031 (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(7875(a,1),5721(a,1,1,2))]. given #9720 (H,wt=33): 11540 (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(4638(a,1),9031(a,1,1))]. given #9721 (H,wt=21): 11541 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(655,a,11540,a),flip(a)]. given #9722 (H,wt=23): 11543 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5715(a,1),11541(a,1,2)),flip(a)]. given #9723 (H,wt=24): 11542 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11540(a,1),655(a,1))]. given #9724 (H,wt=35): 10278 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = (T(x,y \ 1) * T(y \ 1,z)) * K(y \ 1,u). [para(7641(a,1),6811(a,1,1)),flip(a)]. given #9725 (H,wt=35): 10280 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(8200(a,2),7745(a,1,2,1,2))]. given #9726 (H,wt=31): 11545 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(73(a,1),10280(a,1,2,1)),flip(a)]. given #9727 (H,wt=31): 11547 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(7723(a,2),11545(a,2,2))]. given #9728 (H,wt=31): 11548 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(286,a,7809,a(flip),b,11547,a),flip(a)]. given #9729 (H,wt=25): 11550 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(62,a,8932,a(flip),b,11548,a),flip(a)]. given #9730 (H,wt=26): 11552 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11550(a,2),8708(a,1))]. given #9731 (H,wt=34): 11549 K(K(x / y,z) \ x,T(K(x / y,z),u)) != w | K(z,T(x / y,u)) * K(y \ x,T(z,u)) = w. [para(11547(a,2),7811(a,1))]. given #9732 (H,wt=35): 10523 ((K(x,y) * z) * ((K(u,w) \ 1) \ 1)) * K(v5,u) = ((1 / (1 / K(y,x))) \ z) * (K(u,w) * K(v5,u)). [para(5839(a,1),9221(a,1,1,1))]. given #9733 (H,wt=31): 11553 ((1 / (1 / K(x,y))) \ z) * (K(u,w) * K(v5,u)) = ((K(y,x) * z) * K(u,w)) * K(v5,u). [para(2402(a,1),10523(a,1,1,2)),flip(a)]. given #9734 (H,wt=27): 11554 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7920(a,1),11553(a,2,1))]. given #9735 (H,wt=27): 11555 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(286,a,11043,a,b,11554,a),flip(a)]. given #9736 (H,wt=23): 11556 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2406(a,1),11555(a,1,1,1))]. given #9737 (H,wt=23): 11557 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5839(a,1),11556(a,1,1))]. given #9738 (H,wt=23): 11558 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(286,a,8115,a,b,11557,a),flip(a)]. given #9739 (H,wt=23): 11560 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2093(a,1),11558(a,1,2))]. given #9740 (H,wt=25): 11559 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(62,a,11057,a(flip),b,11557,a),flip(a)]. given #9741 (H,wt=21): 11562 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8118(a,1),11559(a,1,1)),flip(a)]. given #9742 (H,wt=35): 10663 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(4429(a,1),10579(a,1,2,2,1,2))]. given #9743 (H,wt=32): 11563 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,10702,a(flip),b,10663,a)]. given #9744 (H,wt=28): 11564 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10695,a,11563,a)]. given #9745 (H,wt=28): 11565 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10858,a,11564,a)]. given #9746 (H,wt=26): 11566 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(8(a,1),11565(a,1,2,2,1))]. given #9747 (H,wt=26): 11567 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(286,a,6173,a,b,11566,a),flip(a)]. given #9748 (H,wt=26): 11568 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(286,a,10882,a(flip),b,11567,a),flip(a)]. given #9749 (H,wt=24): 11569 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(8(a,1),11568(a,2,2,2,1))]. given #9750 (H,wt=35): 10733 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(22(a,2),10703(a,2,2,2))]. given #9751 (H,wt=33): 11570 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7778(a,1),10733(a,2,2))]. given #9752 (H,wt=35): 10899 T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). [para(10895(a,1),4476(a,1,1,2,1))]. given #9753 (H,wt=31): 11571 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(8284,a,10899,a),flip(a)]. given #9754 (H,wt=35): 10927 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(10920(a,1),3383(a,1,1)),flip(a)]. given #9755 (H,wt=30): 11572 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(10920(a,1),10927(a,2,2,1,1))]. given #9756 (H,wt=28): 11573 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(4781(a,1),11572(a,2,2,1))]. given #9757 (H,wt=26): 11575 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4781(a,1),11573(a,1,1,2,1))]. given #9758 (H,wt=26): 11576 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(62,a,5861,a(flip),b,11575,a)]. given #9759 (H,wt=30): 11578 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(11575(a,2),7471(a,1,1))]. given #9760 (H,wt=35): 11242 (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(9316(a,2),11241(a,1,1))]. given #9761 (H,wt=35): 11263 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(6093(a,1),11262(a,1,2,1)),flip(a)]. given #9762 (H,wt=31): 11581 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(4884(a,1),11263(a,2,2,1,2))]. given #9763 (H,wt=29): 11582 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6717(a,1),11581(a,1,2,1,1,2,1))]. given #9764 (H,wt=21): 11583 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(62,a,10325,a(flip),b,11582,a),flip(a)]. given #9765 (H,wt=21): 11584 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,11081,a(flip),b,11583,a),flip(a)]. given #9766 (H,wt=19): 11585 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(62,a,11526,a(flip),b,11584,a),flip(a)]. given #9767 (H,wt=20): 11586 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(9807,a,11585,a),flip(a)]. given #9768 (H,wt=17): 11587 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9970,a,11586,a),flip(a)]. given #9769 (H,wt=35): 11307 (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(286,a,6892,a(flip),b,4801,a),flip(a)]. given #9770 (H,wt=35): 11440 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x,y) \ 1) * (y \ z). [para(8573(a,1),11439(a,2,1,2)),flip(a)]. given #9771 (H,wt=35): 11447 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) != z * u | a((x * y) \ 1,x,y) / u = z. [para(11384(a,2),511(a,1))]. given #9772 (H,wt=35): 11491 ((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(8450(a,1),11490(a,2,1))]. given #9773 (H,wt=35): 11513 (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(11512(a,1),10980(a,1,2))]. given #9774 (H,wt=34): 11592 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(4199(a,1),11513(a,1,2,1)),flip(a)]. given #9775 (H,wt=35): 11528 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [hyper(286,a,1630,a,b,11514,a),flip(a)]. given #9776 (H,wt=35): 11544 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = (T(x,y \ 1) * T(y \ 1,z)) * K(y,u \ 1). [para(6458(a,1),10278(a,2,2))]. given #9777 (H,wt=35): 11588 (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(6892(a,1),11307(a,1,1))]. given #9778 (H,wt=33): 11593 (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(4781(a,1),11588(a,1,2,2,1)),flip(a)]. given #9779 (H,wt=25): 11594 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(286,a,10109,a(flip),b,11593,a),flip(a)]. given #9780 (H,wt=25): 11595 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(6899,a,11594,a)]. given #9781 (H,wt=35): 11589 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x \ 1,y)) * (y \ z). [para(7968(a,2),11440(a,2,1))]. given #9782 (H,wt=33): 11597 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y / (T(x,y) \ 1),x \ 1) * (y \ z). [para(8158(a,1),11589(a,2,1))]. given #9783 (H,wt=35): 11591 (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(4207(a,1),11491(a,1,1))]. given #9784 (H,wt=33): 11598 (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(8146(a,1),11591(a,1,1,2))]. given #9785 (H,wt=19): 11599 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8747,a,11598,a),flip(a)]. given #9786 (H,wt=13): 11600 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9787(a,1),11599(a,1,1))]. given #9787 (H,wt=21): 11601 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(62,a,7246,a(flip),b,11600,a)]. given #9788 (H,wt=21): 11603 K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z). [hyper(286,a,6965,a,b,11601,a)]. given #9789 (H,wt=25): 11604 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(286,a,10886,a,b,11603,a)]. given #9790 (H,wt=24): 11605 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11604(a,1),8344(a,1))]. given #9791 (H,wt=36): 4748 (K(R(x,y,y \ 1),z) * x) \ T(R(x,y,y \ 1),z) = L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)). [para(4667(a,2),718(a,1,2))]. given #9792 (H,wt=36): 6505 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = K(y,z \ 1) * ((y \ 1) * x). [para(393(a,1),6472(a,1,2)),flip(a)]. given #9793 (H,wt=34): 11606 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = (y \ K(y,z \ 1)) * x. [hyper(286,a,6460,a(flip),b,6505,a),flip(a)]. given #9794 (H,wt=32): 11607 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = T(y \ 1,z) * x. [para(6464(a,1),11606(a,2,1))]. given #9795 (H,wt=36): 8292 T(T(x,K(y,z)),K(y,z)) * K(K(y,z) * x,T(x,K(y,z))) = R(T(x,K(y,z)),K(y,z),T(x,K(y,z))). [para(8128(a,1),5928(a,1,2,1))]. given #9796 (H,wt=28): 11608 R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,T(x,K(y,z))). [para(8116(a,1),8292(a,1,1)),flip(a)]. given #9797 (H,wt=24): 11609 R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,x). [para(6774(a,1),11608(a,2,2))]. given #9798 (H,wt=36): 8363 ((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(7914(a,1),4913(a,2,3))]. given #9799 (H,wt=34): 11610 (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(7914(a,1),8363(a,1,1))]. given #9800 (H,wt=36): 8724 K(x,K(y * z,y * (L(y,u,w) * z))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). [para(1235(a,1),8720(a,1,2,2))]. given #9801 (H,wt=36): 9205 (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(9186(a,2),429(a,1,2,2))]. given #9802 (H,wt=36): 9686 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(9575(a,2),6101(a,1,1,1,2))]. given #9803 (H,wt=25): 11612 K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). [hyper(6932,a,9686,a)]. given #9804 (H,wt=36): 10782 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(8972(a,1),10779(a,1,1))]. given #9805 (H,wt=32): 11614 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10512(a,1),10782(a,1,1)),flip(a)]. given #9806 (H,wt=30): 11615 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7754(a,1),11614(a,2,2))]. given #9807 (H,wt=36): 10783 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(10299(a,1),10779(a,1,1))]. given #9808 (H,wt=36): 10932 (((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(10930(a,1),1902(a,1,1,1,1))]. given #9809 (H,wt=24): 11618 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),10932(a,1,1,1)),flip(a)]. given #9810 (H,wt=19): 11620 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10441(a,1),11618(a,1,2,1)),flip(a)]. given #9811 (H,wt=34): 11622 ((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(11620(a,1),8495(a,1,2,2))]. given #9812 (H,wt=28): 11623 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5745(a,1),11622(a,1,2)),flip(a)]. given #9813 (H,wt=24): 11624 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(286,a,5734,a(flip),b,11623,a),flip(a)]. given #9814 (H,wt=16): 11626 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(286,a,5846,a(flip),b,11624,a),flip(a)]. given #9815 (H,wt=14): 11628 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(8493(a,1),11626(a,1,2))]. given #9816 (H,wt=17): 11629 L(x,K(y,z) * K(u,z),T(z,u)) != w | w = x. [para(11628(a,1),49(a,1)),flip(a)]. given #9817 (H,wt=36): 11084 x * (K(y,z) * R(K(z,T(y,u)),w \ 1,w)) != K(z,y) \ R(K(z,y),w \ 1,w) | K(u,K(z,y)) = x. [para(10775(a,1),43(a,1)),flip(a)]. given #9818 (H,wt=36): 11448 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(x * y,K(z,T(u,x))) * ((x * K(z,u)) * y). [para(8146(a,1),11384(a,1,2,1)),flip(a)]. given #9819 (H,wt=36): 11519 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(11518(a,1),1155(a,1,1,1)),flip(a)]. given #9820 (H,wt=29): 11631 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(286,a,1155,a(flip),b,11519,a),flip(a)]. given #9821 (H,wt=29): 11632 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),11631(a,2,3))]. given #9822 (H,wt=36): 11611 (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(1680(a,2),9205(a,1,2,2))]. given #9823 (H,wt=33): 11633 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(92(a,1),11611(a,1,2)),flip(a)]. given #9824 (H,wt=36): 11617 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3322(a,1),10783(a,1,1))]. given #9825 (H,wt=36): 11630 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(x * y,T(u,x))) * ((x * K(z,u)) * y). [para(8056(a,1),11448(a,2,1))]. given #9826 (H,wt=37): 3570 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3565(a,2),2124(a,1,1,1,1))]. given #9827 (H,wt=33): 11634 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4893(a,1),3570(a,1,1))]. given #9828 (H,wt=32): 11635 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(6162,a,11634,a)]. given #9829 (H,wt=29): 11636 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(104(a,1),11635(a,1,1,2))]. given #9830 (H,wt=22): 11637 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(14(a,2),11636(a,1,1)),flip(a)]. given #9831 (H,wt=11): 11638 T(a(x,y,z),x) = a(x,y,z). [hyper(4924,a,11637,a),flip(a)]. given #9832 (H,wt=13): 11639 a(x,y,z) * x = x * a(x,y,z). [para(11638(a,1),108(a,1,2)),flip(a)]. given #9833 (H,wt=17): 11640 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3805(a,1),11638(a,1,1))]. given #9834 (H,wt=37): 4536 ((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(4442(a,1),2190(a,1))]. given #9835 (H,wt=37): 7034 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(7031(a,1),1630(a,1,1)),flip(a)]. given #9836 (H,wt=37): 7122 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7117(a,1),847(a,2,1,2))]. given #9837 (H,wt=31): 11643 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4654(a,1),7122(a,1,2,2,1))]. given #9838 (H,wt=29): 11645 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(6556(a,1),11643(a,1,2,2))]. given #9839 (H,wt=27): 11646 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(157,a,11645,a)]. given #9840 (H,wt=25): 11647 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(64(a,1),11646(a,2,1))]. given #9841 (H,wt=19): 11648 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(115,a,5786,a(flip),b,11647,a)]. given #9842 (H,wt=37): 7455 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(6043(a,1),7453(a,1,2,1))]. given #9843 (H,wt=31): 11649 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(62,a,9335,a(flip),b,7455,a),flip(a)]. given #9844 (H,wt=37): 8914 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(8898(a,1),1938(a,1,2,1,1))]. given #9845 (H,wt=31): 11651 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1821(a,1),8914(a,2,1))]. given #9846 (H,wt=37): 8915 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(8898(a,2),1938(a,1,1))]. given #9847 (H,wt=27): 11652 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(62,a,11651,a(flip),b,8915,a),flip(a)]. given #9848 (H,wt=21): 11653 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1821(a,1),11652(a,1,1)),flip(a)]. given #9849 (H,wt=36): 11654 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(11653(a,1),11126(a,1,1,1,1))]. given #9850 (H,wt=31): 11655 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5742(a,2),11654(a,1,1))]. given #9851 (H,wt=31): 11656 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8241,a,11655,a)]. given #9852 (H,wt=29): 11657 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,11098,a(flip),b,11656,a)]. given #9853 (H,wt=25): 11658 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),11657(a,1,2,2)),flip(a)]. given #9854 (H,wt=28): 11659 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11658(a,1),8055(a,1))]. given #9855 (H,wt=37): 9547 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1569(a,1),9505(a,1,1,1)),flip(a)]. given #9856 (H,wt=35): 11660 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(286,a,6718,a(flip),b,9547,a),flip(a)]. given #9857 (H,wt=31): 11661 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(9(a,1),11660(a,2,2))]. given #9858 (H,wt=29): 11662 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6992,a,11661,a)]. given #9859 (H,wt=25): 11663 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(9(a,1),11662(a,1,2))]. given #9860 (H,wt=25): 11664 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9638,a,11663,a)]. given #9861 (H,wt=37): 10791 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,9339,a(flip),b,9751,a),flip(a)]. given #9862 (H,wt=37): 11065 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7154(a,1),7379(a,1,1))]. given #9863 (H,wt=37): 11561 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,11560,a(flip),b,4669,a)]. given #9864 (H,wt=37): 11665 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(286,a,10848,a(flip),b,10791,a),flip(a)]. given #9865 (H,wt=34): 11667 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(286,a,11569,a(flip),b,11665,a),flip(a)]. given #9866 (H,wt=27): 11668 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(286,a,11073,a(flip),b,11667,a),flip(a)]. given #9867 (H,wt=20): 11670 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2439(a,1),11668(a,1,2))]. given #9868 (H,wt=24): 11671 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11670(a,1),6895(a,1,1,2)),flip(a)]. given #9869 (H,wt=20): 11672 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(286,a,6895,a(flip),b,11671,a),flip(a)]. given #9870 (H,wt=31): 11673 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(11672(a,1),7010(a,1,1,2))]. given #9871 (H,wt=31): 11674 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(10732(a,1),11673(a,1,1,2))]. given #9872 (H,wt=29): 11675 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),11674(a,1,1,2,1,2))]. given #9873 (H,wt=26): 11676 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(6090(a,1),11675(a,1,1))]. given #9874 (H,wt=26): 11677 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,11676,a)]. given #9875 (H,wt=21): 11678 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(7014(a,1),11677(a,1,1)),flip(a)]. given #9876 (H,wt=18): 11679 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4038,a,11678,a)]. given #9877 (H,wt=12): 11680 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(140,a,11679,a)]. given #9878 (H,wt=17): 11683 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(286,a,4819,a,b,11680,a)]. given #9879 (H,wt=19): 11682 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11679(a,1),7698(a,1,2))]. given #9880 (H,wt=17): 11686 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [hyper(11682,a,10804,a),flip(a)]. given #9881 (H,wt=20): 11687 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10804(a,1),11682(a,1))]. given #9882 (H,wt=23): 11681 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11679(a,1),433(a,1,2))]. given #9883 (H,wt=23): 11688 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(11681(a,1),261(a,1))]. given #9884 (H,wt=29): 11685 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(11498(a,1),11683(a,1,1,2))]. given #9885 (H,wt=26): 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6098(a,1),11685(a,1,1))]. given #9886 (H,wt=26): 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(7011(a,1),11689(a,1,1,1,2))]. given #9887 (H,wt=26): 11691 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,11690,a)]. given #9888 (H,wt=21): 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(7014(a,1),11691(a,1,1)),flip(a)]. given #9889 (H,wt=18): 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(62,a,11680,a(flip),b,11692,a)]. given #9890 (H,wt=23): 11694 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),470(a,1,1)),flip(a)]. given #9891 (H,wt=20): 11695 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(286,a,104,a(flip),b,11694,a),flip(a)]. given #9892 (H,wt=26): 11696 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10495(a,1),11695(a,1,1,1)),flip(a)]. given #9893 (H,wt=37): 11666 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(8115(a,1),11561(a,1,1))]. given #9894 (H,wt=38): 7321 (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(7318(a,1),1840(a,1,1,2)),flip(a)]. given #9895 (H,wt=34): 11697 (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(286,a,7116,a(flip),b,7321,a),flip(a)]. given #9896 (H,wt=34): 11698 (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(286,a,9153,a(flip),b,11697,a),flip(a)]. given #9897 (H,wt=29): 11699 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10410(a,1),11698(a,2,2))]. given #9898 (H,wt=29): 11700 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7107(a,1),11699(a,1,1))]. given #9899 (H,wt=28): 11701 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(7318(a,1),11700(a,1,2))]. given #9900 (H,wt=26): 11702 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(62,a,7290,a(flip),b,11701,a)]. given #9901 (H,wt=21): 11703 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9435(a,1),11702(a,1,2))]. given #9902 (H,wt=18): 11704 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11680(a,1),11703(a,1,2))]. given #9903 (H,wt=12): 11706 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10979,a,11704,a),flip(a)]. given #9904 (H,wt=17): 11708 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11706(a,1),10412(a,1,2)),flip(a)]. given #9905 (H,wt=14): 11709 K(x * L(y,z,u),y) = K(y * x,y). [hyper(286,a,9193,a(flip),b,11708,a),flip(a)]. given #9906 (H,wt=14): 11712 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(62,a,9541,a(flip),b,11709,a),flip(a)]. given #9907 (H,wt=14): 11714 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(62,a,10725,a(flip),b,11712,a)]. given #9908 (H,wt=14): 11715 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8345,a,11714,a)]. given #9909 (H,wt=16): 11711 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(62,a,11319,a(flip),b,11709,a)]. given #9910 (H,wt=14): 11717 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(286,a,6414,a(flip),b,11711,a),flip(a)]. given #9911 (H,wt=18): 11718 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11605,a,11717,a)]. given #9912 (H,wt=18): 11719 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(62,a,11320,a(flip),b,11717,a)]. given #9913 (H,wt=18): 11722 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(286,a,10723,a(flip),b,11719,a),flip(a)]. given #9914 (H,wt=19): 11723 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(92(a,1),11722(a,1,1,2))]. given #9915 (H,wt=19): 11725 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(62,a,9591,a(flip),b,11723,a)]. given #9916 (H,wt=22): 11726 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,11171,a,b,11725,a)]. given #9917 (H,wt=23): 11724 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9625,a,11723,a)]. given #9918 (H,wt=19): 11727 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10728,a,11724,a(flip)),flip(a)]. given #9919 (H,wt=20): 11728 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(62,a,10307,a(flip),b,11727,a)]. given #9920 (H,wt=15): 11729 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),11728(a,2,1))]. given #9921 (H,wt=15): 11730 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11687,a,11729,a),flip(a)]. given #9922 (H,wt=13): 11732 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10644,a,11730,a)]. given #9923 (H,wt=10): 11744 K(x,L(y,y,z)) = K(x,y). [hyper(6981,a,11732,a),flip(a)]. given #9924 (H,wt=13): 11762 K(x,L(y,y,z)) != u | K(x,y) = u. [para(11732(a,1),6981(a,1))]. given #9925 (H,wt=14): 11733 K(x,L(x \ y,y,z)) = K(x,x \ y). [hyper(10623,a,11730,a),flip(a)]. given #9926 (H,wt=14): 11735 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(11417,a,11732,a),flip(a)]. given #9927 (H,wt=14): 11749 K(x,L(T(y,z),y,u)) = K(x,T(y,z)). [hyper(62,a,7781,a(flip),b,11732,a),flip(a)]. given #9928 (H,wt=15): 11736 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10673,a,11732,a)]. given #9929 (H,wt=15): 11737 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10631,a,11732,a),flip(a)]. given #9930 (H,wt=15): 11739 K(x,L(y,z * y,u)) = K(x,L(y,z,u)). [hyper(9780,a,11732,a),flip(a)]. given #9931 (H,wt=15): 11745 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(286,a,4781,a,b,11732,a)]. given #9932 (H,wt=13): 11776 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(38,a,9490,a,b,11745,a)]. given #9933 (H,wt=13): 11780 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(62,a,11732,a(flip),b,11776,a),flip(a)]. given #9934 (H,wt=15): 11760 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11732(a,2),4659(a,2,2)),flip(a)]. given #9935 (H,wt=15): 11774 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(11416(a,1),11735(a,1,2))]. given #9936 (H,wt=15): 11785 K(x,L(y,z,u)) \ 1 = K(y,L(x,z,u)). [hyper(4931,a,11780,a)]. given #9937 (H,wt=15): 11787 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(62,a,11737,a,b,11780,a)]. given #9938 (H,wt=15): 11788 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(62,a,11730,a(flip),b,11780,a),flip(a)]. given #9939 (H,wt=15): 11799 K(x,L(y,x * z,u)) = K(x,L(y,z,u)). [para(9(a,1),11788(a,1,2,2)),flip(a)]. given #9940 (H,wt=16): 11734 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11730(a,1),10644(a,1))]. given #9941 (H,wt=16): 11777 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11745(a,1),4783(a,1))]. given #9942 (H,wt=16): 11796 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(11785(a,1),4783(a,1))]. given #9943 (H,wt=16): 11801 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11780(a,2),11734(a,1))]. given #9944 (H,wt=16): 11807 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11776(a,1),11777(a,1))]. given #9945 (H,wt=16): 11808 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(11732(a,2),11796(a,1))]. given #9946 (H,wt=17): 11740 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(8745,a,11732,a),flip(a)]. given #9947 (H,wt=17): 11741 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(8743,a,11732,a),flip(a)]. given #9948 (H,wt=17): 11746 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(62,a,10241,a,b,11732,a)]. given #9949 (H,wt=17): 11747 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(62,a,11587,a(flip),b,11732,a)]. given #9950 (H,wt=17): 11748 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(62,a,9473,a(flip),b,11732,a),flip(a)]. given #9951 (H,wt=17): 11768 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11732(a,1),10236(a,1,2))]. given #9952 (H,wt=17): 11769 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11732(a,1),10239(a,1,2))]. given #9953 (H,wt=17): 11770 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11732(a,1),10242(a,1,1))]. given #9954 (H,wt=15): 11823 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,10251,a(flip),b,11770,a)]. given #9955 (H,wt=17): 11773 K(x,K(y,L(z,z,u))) != w | K(x,K(z,y)) = w. [para(11744(a,2),8109(a,1,2))]. given #9956 (H,wt=17): 11781 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(11776(a,2),7940(a,1,1))]. given #9957 (H,wt=17): 11783 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11776(a,1),10236(a,1,2))]. given #9958 (H,wt=15): 11826 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(62,a,10244,a(flip),b,11783,a)]. given #9959 (H,wt=17): 11786 K(x,L(y,z * K(y,u),w)) = K(L(x,z,w),y). [hyper(286,a,10069,a,b,11780,a)]. given #9960 (H,wt=17): 11795 K(x,L(y,z \ u,z)) = K(x,L(y,u / z,z)). [para(110(a,1),11774(a,1,2,2))]. given #9961 (H,wt=17): 11797 K(x,L(y,T(z,x),u)) = K(x,L(y,z * x,u)). [hyper(286,a,10539,a,b,11787,a)]. given #9962 (H,wt=17): 11798 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(10(a,1),11787(a,1,2,2))]. given #9963 (H,wt=17): 11812 K(x,L(K(y,z),u,w)) = K(x,L(K(z,y),u,w)). [hyper(286,a,11740,a,b,11741,a)]. given #9964 (H,wt=17): 11814 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(62,a,10238,a(flip),b,11746,a)]. given #9965 (H,wt=17): 11815 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11777,a,11747,a),flip(a)]. given #9966 (H,wt=18): 11731 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(11729(a,1),11687(a,1))]. given #9967 (H,wt=18): 11743 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(7183,a,11732,a)]. given #9968 (H,wt=18): 11750 K((x \ y) \ z,L(u,z,x)) = K(y \ (x * z),u). [hyper(62,a,7069,a(flip),b,11732,a),flip(a)]. given #9969 (H,wt=18): 11753 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11732(a,1),92(a,1,2))]. given #9970 (H,wt=18): 11754 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(268(a,1),11732(a,2,2))]. given #9971 (H,wt=18): 11771 K(x,L(y,y * z,u)) != w | K(x,L(y,z,u)) = w. [para(11732(a,1),10672(a,1))]. given #9972 (H,wt=18): 11779 (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). [hyper(62,a,9130,a,b,11776,a)]. given #9973 (H,wt=18): 11791 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(268(a,1),11780(a,1,1)),flip(a)]. given #9974 (H,wt=18): 11810 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11737(a,2),11807(a,1))]. given #9975 (H,wt=18): 11834 K(x,L(y,x \ z,u)) != w | K(x,L(y,z,u)) = w. [para(11780(a,1),11731(a,1))]. given #9976 (H,wt=18): 11845 K(x,L(y,T(z,x),u)) != w | K(x,L(y,z,u)) = w. [para(11797(a,2),11810(a,1))]. given #9977 (H,wt=18): 11846 K(x,L(y,z,u)) != w | K(x,L(y,x * z,u)) = w. [para(9(a,1),11834(a,1,2,2))]. given #9978 (H,wt=19): 11761 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6717(a,1),11732(a,1,1)),flip(a)]. given #9979 (H,wt=19): 11811 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(9498(a,1),11740(a,1,2)),flip(a)]. given #9980 (H,wt=19): 11821 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11768(a,1),5725(a,1,2)),flip(a)]. given #9981 (H,wt=19): 11825 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8060(a,2),11823(a,1,3))]. given #9982 (H,wt=19): 11831 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [para(9492(a,2),11812(a,1,2))]. given #9983 (H,wt=19): 11847 K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). [hyper(286,a,11732,a(flip),b,11761,a),flip(a)]. given #9984 (H,wt=19): 11849 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(8605,a,11811,a)]. given #9985 (H,wt=20): 11742 K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). [hyper(7335,a,11732,a),flip(a)]. given #9986 (H,wt=20): 11755 x * K(y,L(z,u,x / u)) = (x / u) * (u * K(y,z)). [para(11732(a,1),426(a,1,2))]. given #9987 (H,wt=20): 11756 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(445(a,1),11732(a,2,2))]. given #9988 (H,wt=20): 11764 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11732(a,2),8606(a,1,2))]. given #9989 (H,wt=20): 11765 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(11732(a,1),8745(a,1))]. given #9990 (H,wt=20): 11772 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11732(a,1),11398(a,1,2))]. given #9991 (H,wt=20): 11778 K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,u)). [hyper(62,a,9628,a,b,11776,a)]. given #9992 (H,wt=20): 11782 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(11776(a,2),8242(a,1,1))]. given #9993 (H,wt=20): 11802 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8601(a,1),11777(a,1))]. given #9994 (H,wt=20): 11804 K(x,L(y,z,u) \ 1) != w | K(x,L(y \ 1,z,u)) = w. [para(9473(a,1),11777(a,1))]. given #9995 (H,wt=20): 11805 K(x,L(y \ 1,z,u) \ 1) != w | K(x,L(y,z,u)) = w. [para(9474(a,2),11777(a,1))]. given #9996 (H,wt=20): 11806 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(10241(a,2),11777(a,1))]. given #9997 (H,wt=20): 11809 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8060(a,2),11801(a,1))]. given #9998 (H,wt=20): 11816 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(11747(a,1),11777(a,1))]. given #9999 (H,wt=20): 11818 a(x,y,K(z,u)) != K(z,u) * w | K(u,L(z,y,x)) = w. [para(11768(a,1),42(a,1))]. given #10000 (H,wt=20): 11819 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11768(a,1),2098(a,1))]. given #10001 (H,wt=20): 11822 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11769(a,1),6909(a,1,1))]. given #10002 (H,wt=18): 11856 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10244(a,1),11822(a,1))]. given #10003 (H,wt=20): 11824 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11770(a,1),2094(a,1))]. given #10004 (H,wt=20): 11832 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11814(a,1),6909(a,1,1))]. given #10005 (H,wt=20): 11852 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11401(a,2),11755(a,1,2,2))]. given #10006 (H,wt=20): 11855 K(x,R(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(6671(a,2),11805(a,1,2))]. given #10007 (H,wt=17): 11864 K(x,R(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). [hyper(11855,a,xx),flip(a)]. given #10008 (H,wt=16): 11865 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(11864(a,1),11086(a,1,2))]. given #10009 (H,wt=16): 11866 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(3011(a,1),11865(a,1,2,2))]. given #10010 (H,wt=20): 11857 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11732(a,2),11832(a,1,1))]. given #10011 (H,wt=20): 11862 ((x / y) * (y * K(z,u))) \ x = K(L(u,y,y \ x),z). [para(11852(a,1),6895(a,1,1))]. given #10012 (H,wt=20): 11868 ((x / y) * (y * K(z,u))) \ x = K(u,L(z,y,y \ x)). [hyper(286,a,11780,a(flip),b,11862,a),flip(a)]. given #10013 (H,wt=21): 11800 K(L(x,y \ z,u),T(y,w)) = (K(y,L(x,z,u)) * w) \ w. [para(11788(a,1),7851(a,1,1,1)),flip(a)]. given #10014 (H,wt=19): 11870 K(L(x,y \ z,u),T(y,w)) = K(L(x,z,u),T(y,w)). [hyper(286,a,7851,a(flip),b,11800,a),flip(a)]. given #10015 (H,wt=19): 11871 K(L(x,y \ z,u),T(y,w)) = K(x,L(T(y,w),z,u)). [hyper(286,a,11780,a(flip),b,11870,a),flip(a)]. given #10016 (H,wt=19): 11872 K(x,L(T(y,z),y \ u,w)) = K(x,L(T(y,z),u,w)). [hyper(11807,a,11871,a)]. given #10017 (H,wt=21): 11813 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9771(a,1),11741(a,1,2)),flip(a)]. given #10018 (H,wt=21): 11820 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11768(a,1),6011(a,2,2))]. given #10019 (H,wt=21): 11828 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11826(a,1),10331(a,2,2))]. given #10020 (H,wt=21): 11833 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11404(a,1),11815(a,2,2))]. given #10021 (H,wt=21): 11836 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11753(a,1),42(a,1)),flip(a)]. given #10022 (H,wt=21): 11839 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11753(a,1),4663(a,1))]. given #10023 (H,wt=21): 11861 (x / y) * (y * K(x,z)) != u | T(x,L(z,y,y \ x)) = u. [para(11852(a,1),4663(a,1))]. given #10024 (H,wt=22): 11784 K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). [hyper(8346,a,11780,a),flip(a)]. given #10025 (H,wt=22): 11789 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(62,a,11405,a(flip),b,11780,a),flip(a)]. given #10026 (H,wt=22): 11793 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(11780(a,1),6934(a,1,2))]. given #10027 (H,wt=19): 11881 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(11793,a,11820,a)]. given #10028 (H,wt=22): 11817 K(x \ y,L(z \ 1,u,w)) != v5 | K(y \ x,L(z,u,w)) = v5. [para(11748(a,2),6802(a,1))]. given #10029 (H,wt=22): 11848 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11761(a,2),11777(a,1))]. given #10030 (H,wt=22): 11858 K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. [para(11739(a,1),11832(a,1,1))]. given #10031 (H,wt=22): 11859 K(x,L(T(y,z),u,u \ z)) * z = (z / u) * (u * K(x,y)). [hyper(62,a,8148,a,b,11852,a)]. given #10032 (H,wt=22): 11867 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,w \ 1,w))). [para(11866(a,2),11110(a,2,2))]. given #10033 (H,wt=16): 11883 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [hyper(11120,a,11867,a)]. given #10034 (H,wt=17): 11884 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(444(a,1),11883(a,1,2,2)),flip(a)]. given #10035 (H,wt=17): 11885 T(x,K(y,z \ (u \ 1))) = T(x,K(y,u * z)). [hyper(8438,a,11884,a)]. given #10036 (H,wt=17): 11886 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(6437(a,1),11884(a,1,2)),flip(a)]. given #10037 (H,wt=15): 11888 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(286,a,8706,a(flip),b,11886,a),flip(a)]. given #10038 (H,wt=13): 11889 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(62,a,11140,a(flip),b,11888,a)]. given #10039 (H,wt=13): 11891 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8438,a,11889,a)]. given #10040 (H,wt=13): 11892 T(x,K(y,x * z)) = T(x,K(y,z)). [para(9(a,1),11889(a,1,2,2)),flip(a)]. given #10041 (H,wt=13): 11893 T(x,K(y,x / z)) = T(x,K(y,z)). [para(76(a,1),11891(a,1,2,2)),flip(a)]. given #10042 (H,wt=13): 11895 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,11892,a),flip(a)]. given #10043 (H,wt=17): 11890 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(4893(a,1),11888(a,1,2,2,2))]. given #10044 (H,wt=17): 11897 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(11895(a,1),23(a,1,1)),flip(a)]. given #10045 (H,wt=15): 11900 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(286,a,7616,a(flip),b,11897,a),flip(a)]. given #10046 (H,wt=17): 11898 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(11895(a,1),8127(a,1,1))]. given #10047 (H,wt=17): 11902 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5981,a,11898,a)]. given #10048 (H,wt=21): 11887 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8442,a,11886,a),flip(a)]. given #10049 (H,wt=19): 11904 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(8439,a,11887,a),flip(a)]. given #10050 (H,wt=17): 11905 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8424,a,11904,a)]. given #10051 (H,wt=19): 11906 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(286,a,4659,a(flip),b,11905,a),flip(a)]. given #10052 (H,wt=17): 11907 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4727,a,11906,a)]. given #10053 (H,wt=21): 11901 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(115,a,11900,a(flip),b,7920,a)]. given #10054 (H,wt=21): 11903 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(11902(a,1),213(a,1,2))]. given #10055 (H,wt=21): 11908 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4490(a,2),11903(a,1,2))]. given #10056 (H,wt=22): 11873 K(x,L(T(y,z),u,w)) != v5 | K(x,L(T(y,z),y \ u,w)) = v5. [para(11871(a,1),11807(a,1))]. given #10057 (H,wt=23): 11763 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11732(a,1),7335(a,1))]. given #10058 (H,wt=21): 11909 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11798(a,1),11763(a,1))]. given #10059 (H,wt=23): 11766 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11732(a,1),9237(a,1))]. given #10060 (H,wt=23): 11790 K(x \ K(y,x \ 1),L(z,u,w)) = K(L(x \ 1,u,w),T(z,y)). [hyper(62,a,8448,a(flip),b,11780,a),flip(a)]. given #10061 (H,wt=21): 11911 K(L(x \ 1,y,z),T(u,w)) = K(x,T(L(u,y,z) \ 1,w)). [hyper(62,a,8484,a(flip),b,11790,a),flip(a)]. given #10062 (H,wt=23): 11792 K(x,L(y * z,z,y)) * (y * (z * x)) = L(x,z,y) * (y * z). [para(11780(a,1),4751(a,1,1))]. given #10063 (H,wt=23): 11803 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(9246(a,2),11777(a,1))]. given #10064 (H,wt=23): 11827 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(11781(a,1),11783(a,1,2))]. given #10065 (H,wt=23): 11837 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(268(a,1),11753(a,1,2,2))]. given #10066 (H,wt=21): 11914 x * (y * K(z,y \ (x \ 1))) = T((x * y) \ 1,z) \ 1. [hyper(6038,a,11837,a),flip(a)]. given #10067 (H,wt=23): 11853 x * ((x \ y) * K(z,(x \ y) \ u)) = y * K(z,y \ (x * u)). [para(11756(a,1),425(a,1,2)),flip(a)]. given #10068 (H,wt=23): 11854 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(11782,a,10874,a(flip)),flip(a)]. given #10069 (H,wt=23): 11869 ((x / y) * (y * K(z,u))) \ x != w | K(u,L(z,y,y \ x)) = w. [para(11862(a,2),11807(a,1))]. given #10070 (H,wt=23): 11913 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [hyper(8342,a,11827,a)]. given #10071 (H,wt=23): 11915 x * (y * K(z,y \ (x \ ((x * y) * u)))) = (x * y) * K(z,u). [para(9(a,1),11837(a,1,2,2)),flip(a)]. given #10072 (H,wt=23): 11918 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(121,a,11853,a)]. given #10073 (H,wt=23): 11919 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(11782,a,11854,a)]. given #10074 (H,wt=23): 11920 x * K(y,x \ (z \ ((z * x) * u))) = z \ ((z * x) * K(y,u)). [hyper(121,a,11915,a),flip(a)]. given #10075 (H,wt=23): 11922 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(10136(a,2),11919(a,1,2))]. given #10076 (H,wt=24): 11738 K(x,L(T(T(y,z),u * z),z,u)) = K((u * z) / (u * (x \ z)),y). [hyper(10083,a,11732,a),flip(a)]. given #10077 (H,wt=24): 11767 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11732(a,1),8591(a,1,2))]. given #10078 (H,wt=24): 11912 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11803,a,9815,a)]. given #10079 (H,wt=24): 11923 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * z) / (u * (y \ z))). [hyper(286,a,10377,a(flip),b,11738,a),flip(a)]. given #10080 (H,wt=23): 11926 K(x,(y * (z * u)) / (y * u)) = K(x,(y * u) / (y * (z \ u))). [hyper(62,a,10341,a(flip),b,11923,a)]. given #10081 (H,wt=24): 11924 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(9477(a,1),11767(a,1,1))]. given #10082 (H,wt=24): 11925 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11172,a(flip),b,11912,a)]. given #10083 (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(286,a,9762,a(flip),b,11924,a),flip(a)]. given #10084 (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(8130,a,11927,a)]. given #10085 (H,wt=25): 11720 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11717(a,1),10160(a,1,1,2))]. given #10086 (H,wt=21): 11929 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6955(a,1),11720(a,1,1,2)),flip(a)]. given #10087 (H,wt=19): 11930 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(286,a,6864,a(flip),b,11929,a),flip(a)]. given #10088 (H,wt=19): 11931 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1231(a,1),11930(a,1,1))]. given #10089 (H,wt=23): 11932 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11931(a,1),10338(a,2,2))]. given #10090 (H,wt=23): 11933 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(286,a,6866,a,b,11932,a),flip(a)]. given #10091 (H,wt=25): 11757 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11732(a,1),427(a,1,2,2))]. given #10092 (H,wt=22): 11934 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(11142(a,1),11757(a,1,2))]. given #10093 (H,wt=25): 11758 (x * y) * K(z,L(u,y,x)) != w * v5 | w \ (x * (y * K(z,u))) = v5. [para(11732(a,1),520(a,1,2))]. given #10094 (H,wt=25): 11775 K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(R(y,z,u),z * u,w)). [para(171(a,1),11736(a,1,2,2)),flip(a)]. given #10095 (H,wt=25): 11794 K(x \ y,L(T(z,u * x),x,u)) != w | K((u * y) / (u * x),z) = w. [para(11780(a,1),8346(a,1))]. given #10096 (H,wt=25): 11844 K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. [para(11791(a,2),8080(a,1,2))]. given #10097 (H,wt=25): 11851 K((x \ y) \ y,L(z \ u,w,v5)) = K(x,T(L((u \ z) \ 1,w,v5),y)). [hyper(7986,a,11847,a),flip(a)]. given #10098 (H,wt=25): 11894 K(x,K(y \ z,(u \ 1) \ (u \ z))) = (u \ z) \ (u \ T(z,K(x,y))). [para(11891(a,1),8586(a,2,2,2))]. given #10099 (H,wt=25): 11939 K((x \ y) \ y,L(z \ u,w,v5)) = K(x,L(T((u \ z) \ 1,y),w,v5)). [para(25(a,2),11851(a,2,2))]. given #10100 (H,wt=23): 11941 K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,T(L(z \ y,w,v5),u)). [hyper(7986,a,11939,a),flip(a)]. given #10101 (H,wt=23): 11942 K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,L(T(z \ y,u),w,v5)). [para(25(a,2),11941(a,2,2))]. given #10102 (H,wt=26): 11835 K(((x / y) \ 1) \ z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). [para(6431(a,1),11750(a,1,1,1))]. given #10103 (H,wt=26): 11842 K(x,(y * z) \ u) * a(y,z,K(x,z \ (y \ u))) = K(x,z \ (y \ u)). [para(11754(a,1),10249(a,1,1))]. given #10104 (H,wt=26): 11863 (x / (y * z)) * ((y * z) * K(u,z)) = x * K(u,L(z,y,(y * z) \ x)). [para(11739(a,1),11852(a,1,2)),flip(a)]. given #10105 (H,wt=26): 11879 K(L(T(x,y),z,z \ y),z \ u) = (w * K(((y / z) * u) / y,x)) \ w. [para(11789(a,1),6895(a,1,1,2)),flip(a)]. given #10106 (H,wt=22): 11944 K(L(T(x,y),z,z \ y),z \ u) = K(x,((y / z) * u) / y). [hyper(286,a,6895,a(flip),b,11879,a),flip(a)]. given #10107 (H,wt=22): 11945 K(T(x,y),L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [hyper(11807,a,11944,a)]. given #10108 (H,wt=22): 11946 K(x,T(L(y \ z,y,y \ u),u)) = K(x,((u / y) * z) / u). [hyper(7981,a,11945,a)]. given #10109 (H,wt=22): 11947 K(x,L(T(y \ z,u),y,y \ u)) = K(x,((u / y) * z) / u). [para(25(a,2),11946(a,1,2))]. given #10110 (H,wt=24): 11949 K(x,L(T(T(y,z),u),z,z \ u)) = K(x,((u / z) * (y * z)) / u). [para(22(a,2),11947(a,1,2,1,1))]. given #10111 (H,wt=26): 11921 x \ (y * K(z,y \ (x * u))) != (x \ y) * w | K(z,(x \ y) \ u) = w. [para(11918(a,2),42(a,1))]. given #10112 (H,wt=26): 11938 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(11844,a,11849,a),flip(a)]. given #10113 (H,wt=26): 11953 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10350(a,1),11938(a,1,2))]. given #10114 (H,wt=24): 11954 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(62,a,11922,a(flip),b,11953,a)]. given #10115 (H,wt=21): 11955 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(11844,a,11954,a),flip(a)]. given #10116 (H,wt=21): 11956 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8058,a,11955,a)]. given #10117 (H,wt=24): 11957 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(62,a,10274,a(flip),b,11956,a)]. given #10118 (H,wt=12): 11958 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(286,a,10029,a(flip),b,11957,a),flip(a)]. given #10119 (H,wt=10): 11960 K(x,K(y,a(z,x,u))) = 1. [para(203(a,1),11958(a,1,2,2,3))]. given #10120 (H,wt=15): 11962 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11960(a,1),8035(a,1,2)),flip(a)]. given #10121 (H,wt=13): 11963 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(286,a,8,a(flip),b,11962,a),flip(a)]. given #10122 (H,wt=27): 11896 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(11893(a,1),6205(a,2,1,1))]. given #10123 (H,wt=25): 11964 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8403,a,11896,a)]. given #10124 (H,wt=23): 11966 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(286,a,8402,a(flip),b,11964,a),flip(a)]. given #10125 (H,wt=28): 11860 x * K(y,L(z,u / K(y,z),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. [para(12(a,1),11852(a,2,2))]. given #10126 (H,wt=28): 11877 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) / (u \ 1),z). [hyper(62,a,8608,a(flip),b,11789,a)]. given #10127 (H,wt=28): 11910 K(x \ ((y \ 1) * z),L(u,x,y)) != w | K((y * x) \ L(z,y \ 1,y),u) = w. [para(393(a,1),11909(a,1,1,2))]. given #10128 (H,wt=28): 11965 (T(x * y,K(z,u)) / y) / x != w | K(z,K((1 / y) / x,(x * y) / u)) = w. [para(11896(a,1),8403(a,1))]. given #10129 (H,wt=28): 11968 x * K(y,L(z,u * K(z,y),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. [para(6892(a,1),11860(a,1,2,2,2))]. given #10130 (H,wt=28): 11969 x * K(y,L(z,u * K(z,y),(u * K(z,y)) \ x)) = (x / (u / K(y,z))) * u. [para(6892(a,1),11968(a,1,2,2,3,1))]. given #10131 (H,wt=24): 11970 x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z / K(y,u))) * z. [para(11786(a,1),11969(a,1,2))]. given #10132 (H,wt=24): 11971 x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z * K(u,y))) * z. [para(6892(a,1),11970(a,2,1,2))]. given #10133 (H,wt=24): 11973 x * K(y,L(z,u,(u * K(z,y)) \ x)) = (x / (u * K(z,y))) * u. [para(11780(a,1),11971(a,1,2))]. given #10134 (H,wt=29): 11759 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(11732(a,1),1254(a,1,2,1))]. given #10135 (H,wt=29): 11850 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11102(a,1),11825(a,1,3))]. given #10136 (H,wt=29): 11937 K(x \ y,L((z * x) \ 1,x,z)) != u | K((z * y) / (z * x),(z * x) \ 1) = u. [para(4892(a,1),11794(a,1,2,1))]. given #10137 (H,wt=29): 11975 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(5839(a,1),11759(a,1,2))]. given #10138 (H,wt=29): 11976 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(11780(a,1),11975(a,1,2,1))]. given #10139 (H,wt=27): 11977 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4675(a,1),11976(a,1,2))]. given #10140 (H,wt=25): 11978 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11821(a,1),11977(a,1,2)),flip(a)]. given #10141 (H,wt=30): 11705 (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(11692(a,1),11703(a,1,2))]. given #10142 (H,wt=30): 11751 K(x,L(y,z * x,u / (z * T(x,y)))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(62,a,6829,a(flip),b,11732,a),flip(a)]. given #10143 (H,wt=30): 11830 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10643(a,1),11798(a,2,2))]. given #10144 (H,wt=30): 11875 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(451(a,1),11813(a,1,2,2)),flip(a)]. given #10145 (H,wt=30): 11876 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11828(a,1),9991(a,2,2))]. given #10146 (H,wt=28): 11980 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),11876(a,1,2))]. given #10147 (H,wt=23): 11981 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7621,a,11980,a),flip(a)]. given #10148 (H,wt=23): 11982 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11780(a,1),11981(a,2,1))]. given #10149 (H,wt=19): 11983 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(286,a,11770,a(flip),b,11982,a),flip(a)]. given #10150 (H,wt=15): 11984 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(302,a,11983,a)]. given #10151 (H,wt=15): 11986 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(9(a,1),11984(a,1,3,1)),flip(a)]. given #10152 (H,wt=15): 11987 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4776(a,1),11984(a,1,3)),flip(a)]. given #10153 (H,wt=10): 11992 a(x,y,K(x * z,z)) = 1. [hyper(286,a,7663,a(flip),b,11987,a),flip(a)]. given #10154 (H,wt=14): 11994 L(K(x * y,y),z,x) = K(x * y,y). [hyper(51,a,11992,a)]. given #10155 (H,wt=17): 11988 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4778(a,1),11984(a,1,3)),flip(a)]. given #10156 (H,wt=17): 11989 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6155(a,1),11984(a,1,3))]. given #10157 (H,wt=19): 11990 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10582(a,2),11984(a,1,3))]. given #10158 (H,wt=23): 11991 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11986(a,2),11034(a,1,1))]. given #10159 (H,wt=15): 11996 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11036,a,11991,a)]. given #10160 (H,wt=15): 11997 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(10(a,1),11996(a,1,3,2)),flip(a)]. given #10161 (H,wt=15): 11998 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(62,a,11988,a,b,11997,a)]. given #10162 (H,wt=15): 11999 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(6773(a,1),11998(a,1,3)),flip(a)]. given #10163 (H,wt=15): 12000 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(62,a,11989,a,b,11999,a)]. given #10164 (H,wt=17): 12001 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6782(a,1),12000(a,1,3))]. given #10165 (H,wt=23): 11995 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11994(a,1),7740(a,2,1))]. given #10166 (H,wt=21): 12002 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(9799(a,1),11995(a,1,2,2))]. given #10167 (H,wt=19): 12003 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(7739,a,12002,a),flip(a)]. given #10168 (H,wt=22): 12004 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(62,a,10929,a(flip),b,12003,a),flip(a)]. given #10169 (H,wt=17): 12005 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(10928(a,1),12004(a,1,2)),flip(a)]. given #10170 (H,wt=17): 12006 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(300,a,12005,a),flip(a)]. given #10171 (H,wt=30): 11935 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(11934(a,1),110(a,1,1)),flip(a)]. given #10172 (H,wt=26): 12007 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(286,a,3930,a(flip),b,11935,a),flip(a)]. given #10173 (H,wt=26): 12008 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7723(a,2),12007(a,2,1))]. given #10174 (H,wt=30): 11950 K(x,L(T(y \ T(z,y),u),T(y,z),T(y,z) \ u)) = K(x,((u / T(y,z)) * z) / u). [para(3928(a,1),11947(a,1,2,1,1))]. given #10175 (H,wt=30): 11967 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(480(a,2),11966(a,1,2,2))]. given #10176 (H,wt=30): 11979 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(62,a,11169,a(flip),b,11830,a),flip(a)]. given #10177 (H,wt=27): 12009 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(286,a,11726,a(flip),b,11979,a),flip(a)]. given #10178 (H,wt=24): 12010 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11803,a,12009,a)]. given #10179 (H,wt=24): 12011 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,11169,a(flip),b,12010,a)]. given #10180 (H,wt=19): 12012 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(62,a,11925,a(flip),b,12011,a)]. given #10181 (H,wt=17): 12013 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(22(a,2),12012(a,2,1,2))]. given #10182 (H,wt=17): 12014 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(62,a,10721,a(flip),b,12013,a)]. given #10183 (H,wt=21): 12015 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(12014(a,1),5844(a,1,2,1)),flip(a)]. given #10184 (H,wt=17): 12017 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(286,a,5844,a(flip),b,12015,a),flip(a)]. given #10185 (H,wt=31): 11838 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z) \ 1,x)) = x * ((L(x,y,z) \ 1) * K(u,w)). [para(1237(a,1),11753(a,1,1))]. given #10186 (H,wt=31): 11952 K(x,L(T((y * z) \ u,z),y * z,(y * z) \ z)) = K(x,(R(y \ 1,y,z) * u) / z). [para(4900(a,2),11947(a,2,2,1,1))]. given #10187 (H,wt=24): 12018 K(x,(R(y \ 1,y,z) * u) / z) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,11947,a(flip),b,11952,a),flip(a)]. given #10188 (H,wt=31): 11993 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(11987(a,1),11978(a,2,2,2))]. given #10189 (H,wt=29): 12019 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(286,a,5727,a(flip),b,11993,a),flip(a)]. given #10190 (H,wt=32): 11878 K(T(x,y) \ z,L(T(u,w),T(x,y),T(x,y) \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [para(6605(a,2),11789(a,2,1,1,1))]. given #10191 (H,wt=32): 11943 K(x \ 1,(y * z) \ u) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). [hyper(286,a,6458,a(flip),b,11842,a),flip(a)]. given #10192 (H,wt=32): 12020 K(x,((y * z) \ u) \ 1) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). [hyper(62,a,6462,a(flip),b,11943,a)]. given #10193 (H,wt=30): 12021 K(x,y \ (z * u)) * a(z,u,K(x \ 1,u \ (z \ y))) = K(x,(u \ (z \ y)) \ 1). [para(6717(a,1),12020(a,1,1))]. given #10194 (H,wt=30): 12022 K(x,y \ (z * u)) * a(z,u,K(x,(u \ (z \ y)) \ 1)) = K(x,(u \ (z \ y)) \ 1). [para(6458(a,1),12021(a,1,2,3))]. given #10195 (H,wt=28): 12023 K(x,y \ (z * u)) * a(z,u,K(x,(z \ y) \ u)) = K(x,(u \ (z \ y)) \ 1). [para(6717(a,1),12022(a,1,2,3))]. given #10196 (H,wt=33): 11843 K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z) \ 1,x)) = K(((L(x,y,z) \ 1) * x) \ u,w). [para(4930(a,2),11791(a,2,1,1))]. given #10197 (H,wt=33): 11874 K(x,L(T((y * z) / y,u),T(K(z,y) * w,z),v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). [para(7871(a,1),11872(a,1,2,2))]. given #10198 (H,wt=33): 11940 T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(y \ x,z)))). [para(11894(a,1),8952(a,2,2))]. given #10199 (H,wt=33): 12024 T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(z,y \ x)))). [para(8115(a,1),11940(a,2,2,2,2))]. given #10200 (H,wt=33): 12025 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * ((z \ u) \ T(z \ u,K(z,y \ x))). [para(10903(a,2),12024(a,2,2,2))]. given #10201 (H,wt=29): 12026 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z \ u,K(z,y \ x)). [para(4614(a,2),12025(a,2,2))]. given #10202 (H,wt=27): 12027 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z,K(u,y \ x)). [para(8655(a,1),12026(a,2,2))]. given #10203 (H,wt=23): 12028 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(y,K(z,x \ 1)). [hyper(8506,a,12027,a)]. given #10204 (H,wt=21): 12029 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(x,K(y,z)). [para(8371(a,1),12028(a,2,2))]. given #10205 (H,wt=19): 12030 T(x,K(y \ z,(y \ 1) \ (y \ z))) = T(x,K(y,z)). [hyper(4730,a,12029,a),flip(a)]. given #10206 (H,wt=19): 12031 T(x,K(y \ z,1 \ (y * (y \ z)))) = T(x,K(y,z)). [para(9601(a,1),12030(a,1,2))]. given #10207 (H,wt=13): 12032 T(x,K(y \ z,z)) = T(x,K(y,z)). [para(154(a,1),12031(a,1,2,2))]. given #10208 (H,wt=13): 12033 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,12032,a),flip(a)]. given #10209 (H,wt=13): 12034 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(8433,a,12033,a)]. given #10210 (H,wt=13): 12036 T(x,K(y,y / z)) = T(x,K(z,y)). [para(76(a,1),12033(a,1,2,1)),flip(a)]. given #10211 (H,wt=13): 12038 T(x,K(y \ z,y)) = T(x,K(y,z)). [hyper(8134,a,12034,a)]. given #10212 (H,wt=13): 12041 T(x,K(y,y * z)) = T(x,K(y,z)). [para(9(a,1),12034(a,1,2,2)),flip(a)]. given #10213 (H,wt=11): 12048 T(x,K(y,y * T(x,z))) = x. [hyper(286,a,2792,a(flip),b,12041,a),flip(a)]. given #10214 (H,wt=13): 12042 T(x,K(y,z / y)) = T(x,K(y,z)). [para(4788(a,1),12034(a,1,2))]. given #10215 (H,wt=13): 12044 T(x,K(y,y * z)) = T(x,K(z,y)). [para(9(a,1),12038(a,1,2,1)),flip(a)]. given #10216 (H,wt=13): 12045 T(x,K(y,z * y)) = T(x,K(z,y)). [para(4776(a,1),12038(a,1,2)),flip(a)]. given #10217 (H,wt=15): 12040 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(62,a,9892,a(flip),b,12034,a),flip(a)]. given #10218 (H,wt=16): 12037 T(x,K(y,z)) != u | T(x,K(y,y \ z)) = u. [para(12033(a,1),8433(a,1))]. given #10219 (H,wt=17): 12035 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(62,a,8337,a,b,12033,a)]. given #10220 (H,wt=15): 12054 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(12035(a,1),4702(a,1,1))]. given #10221 (H,wt=15): 12055 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(7928(a,1),12054(a,1,1)),flip(a)]. given #10222 (H,wt=17): 12039 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(62,a,11963,a(flip),b,12034,a),flip(a)]. given #10223 (H,wt=17): 12049 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(53,a,12048,a)]. given #10224 (H,wt=17): 12051 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(12044(a,1),8127(a,1,1))]. given #10225 (H,wt=17): 12056 T(x * K(y \ z,x),z / y) = T(x,K(y,z)). [hyper(6160,a,12055,a),flip(a)]. given #10226 (H,wt=19): 12043 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(62,a,10169,a(flip),b,12036,a),flip(a)]. given #10227 (H,wt=19): 12047 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(8291,a,12041,a),flip(a)]. given #10228 (H,wt=19): 12053 T((x / y) \ z,K(y,x)) = T(z / (x / y),y \ x). [para(110(a,1),12040(a,1,1))]. given #10229 (H,wt=21): 12046 T(x / (y / z),K(y / z,z)) = T(x,K(z,y)) / (y / z). [para(12038(a,1),10905(a,2,1))]. given #10230 (H,wt=21): 12050 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(62,a,10167,a(flip),b,12042,a),flip(a)]. given #10231 (H,wt=17): 12060 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(62,a,12043,a(flip),b,12050,a),flip(a)]. given #10232 (H,wt=17): 12061 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(62,a,9037,a,b,12060,a)]. given #10233 (H,wt=17): 12062 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(73(a,1),12061(a,1,2,1,2)),flip(a)]. given #10234 (H,wt=17): 12063 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(62,a,8487,a(flip),b,12062,a),flip(a)]. given #10235 (H,wt=19): 12064 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(62,a,8466,a,b,12063,a)]. given #10236 (H,wt=21): 12052 (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). [hyper(115,a,12045,a(flip),b,8117,a(flip))]. given #10237 (H,wt=13): 12065 T(x,T(y * z,z)) = T(x,z * y). [hyper(62,a,11438,a(flip),b,12052,a),flip(a)]. given #10238 (H,wt=13): 12066 T(x,y * (z / y)) = T(x,T(z,y)). [para(12(a,1),12065(a,1,2,1)),flip(a)]. given #10239 (H,wt=15): 12068 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(3662(a,2),12066(a,1,2)),flip(a)]. given #10240 (H,wt=17): 12067 x * (y * K(x,z * y)) = T(x,y * z) * y. [para(12065(a,1),8207(a,1,1)),flip(a)]. given #10241 (H,wt=15): 12069 K(x,y * z) * y = y * K(x,z * y). [hyper(33,a,4638,a,b,12067,a)]. given #10242 (H,wt=13): 12070 K(x,T(y * z,y)) = K(x,z * y). [hyper(7768,a,12069,a)]. given #10243 (H,wt=13): 12071 K(T(x,y),z * y) = K(x,y * z). [hyper(34,a,8147,a,b,12069,a)]. given #10244 (H,wt=13): 12072 K(x,T(y * z,z)) = K(x,z * y). [hyper(34,a,8146,a,b,12069,a)]. given #10245 (H,wt=13): 12077 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),12070(a,1,2,1)),flip(a)]. given #10246 (H,wt=13): 12081 K(x,y * (z / y)) = K(x,T(z,y)). [para(12(a,1),12072(a,1,2,1)),flip(a)]. given #10247 (H,wt=15): 12076 K(x \ y,z * x) = K(y / x,x * z). [hyper(8250,a,12070,a),flip(a)]. given #10248 (H,wt=15): 12079 K(T(x,y),z * y) = 1 / K(y * z,x). [hyper(286,a,4794,a,b,12071,a),flip(a)]. given #10249 (H,wt=13): 12085 K(x * y,T(z,y)) = K(y * x,z). [hyper(4808,a,12079,a)]. given #10250 (H,wt=13): 12087 K(x * y,T(z,x)) = K(y * x,z). [hyper(8223,a,12085,a),flip(a)]. given #10251 (H,wt=13): 12090 K(x * (y / x),z) = K(y,T(z,x)). [para(12(a,1),12085(a,1,1)),flip(a)]. given #10252 (H,wt=13): 12099 K((x \ y) * x,z) = K(y,T(z,x)). [para(10(a,1),12087(a,1,1)),flip(a)]. given #10253 (H,wt=15): 12084 K(1 / x,y * x) = K(1 / x,x * y). [hyper(6487,a,12076,a)]. given #10254 (H,wt=15): 12092 K(x * y,z) * y = y * K(y * x,z). [para(12085(a,1),7736(a,1,2)),flip(a)]. given #10255 (H,wt=15): 12094 K(x * y,z) * x = x * K(y * x,z). [para(12085(a,1),8146(a,1,1))]. given #10256 (H,wt=15): 12107 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12099(a,1),4620(a,2,2))]. given #10257 (H,wt=13): 12110 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(286,a,7801,a(flip),b,12107,a),flip(a)]. given #10258 (H,wt=13): 12112 T(x,T(y * z,y)) = T(x,z * y). [para(9(a,1),12110(a,1,2,1)),flip(a)]. given #10259 (H,wt=13): 12115 T(x,T(y,z) * z) = T(x,z * y). [hyper(62,a,12068,a(flip),b,12112,a)]. given #10260 (H,wt=14): 12113 T(x,(x \ y) * x) != z | T(x,y) = z. [para(12110(a,2),4016(a,1))]. given #10261 (H,wt=14): 12116 T(x,y * x) != z | T(x,x * y) = z. [para(12112(a,1),4016(a,1))]. given #10262 (H,wt=15): 12114 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(62,a,12051,a,b,12112,a)]. given #10263 (H,wt=15): 12117 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(286,a,4659,a(flip),b,12115,a),flip(a)]. given #10264 (H,wt=13): 12122 K(x,T(y,z) * z) = K(x,z * y). [hyper(4727,a,12117,a)]. given #10265 (H,wt=15): 12118 K(T(x,y) * y,z) = z / T(z,y * x). [para(12115(a,1),4617(a,2,2))]. given #10266 (H,wt=13): 12126 K(T(x,y) * y,z) = K(y * x,z). [hyper(286,a,4617,a,b,12118,a),flip(a)]. given #10267 (H,wt=16): 12095 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(12085(a,1),8223(a,1))]. given #10268 (H,wt=16): 12102 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(12087(a,1),8223(a,1))]. given #10269 (H,wt=16): 12111 T(x,(y \ z) * y) != u | T(x,T(z,y)) = u. [para(12107(a,2),7805(a,1))]. given #10270 (H,wt=16): 12123 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(12117(a,2),4663(a,1))]. given #10271 (H,wt=16): 12127 K(T(x,y) * y,z) != u | K(y * x,z) = u. [para(12118(a,2),4697(a,1))]. given #10272 (H,wt=16): 12133 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(7777(a,2),12095(a,1))]. given #10273 (H,wt=16): 12135 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(12068(a,2),12123(a,1))]. given #10274 (H,wt=17): 12075 K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). [hyper(8479,a,12070,a)]. given #10275 (H,wt=17): 12080 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(62,a,9364,a(flip),b,12072,a)]. given #10276 (H,wt=17): 12082 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4475(a,1),12077(a,1,2)),flip(a)]. given #10277 (H,wt=16): 12142 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(12082(a,1),8223(a,1))]. given #10278 (H,wt=16): 12144 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8425(a,1),12142(a,1))]. given #10279 (H,wt=17): 12086 K(x * (y \ 1),T(z,y)) = K((y \ 1) * x,z). [hyper(8478,a,12085,a)]. given #10280 (H,wt=17): 12091 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [para(23(a,1),12085(a,1,2))]. given #10281 (H,wt=17): 12096 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(8478,a,12087,a)]. given #10282 (H,wt=17): 12100 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(12087(a,1),4667(a,2,1)),flip(a)]. given #10283 (H,wt=17): 12108 (1 / x) \ K(y,T(z,x)) = T(y,z) / (x \ y). [para(12099(a,1),7273(a,1,2))]. given #10284 (H,wt=17): 12124 K(x,(T(y,z) * z) \ 1) = K(x \ 1,z * y). [hyper(6476,a,12122,a)]. given #10285 (H,wt=18): 12074 K(x,y * z) * y != y * u | K(x,z * y) = u. [para(12069(a,2),42(a,1))]. given #10286 (H,wt=18): 12078 K(x \ y,z * x) != u | K(y / x,x * z) = u. [para(12070(a,1),8250(a,1))]. given #10287 (H,wt=18): 12101 x * K(y * x,z) != u * x | K(x * y,z) = u. [para(12087(a,1),7737(a,1,2))]. given #10288 (H,wt=18): 12130 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(165(a,1),12095(a,1,2))]. given #10289 (H,wt=18): 12137 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(12051(a,2),12135(a,1))]. given #10290 (H,wt=18): 12141 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12082(a,1),4805(a,1))]. given #10291 (H,wt=19): 12073 (x / y) * K(z,y * (x / y)) = K(z,x) * (x / y). [para(12(a,1),12069(a,1,1,2)),flip(a)]. given #10292 (H,wt=19): 12083 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(8573(a,2),12081(a,1,2)),flip(a)]. given #10293 (H,wt=17): 12154 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [hyper(62,a,8428,a(flip),b,12083,a),flip(a)]. given #10294 (H,wt=19): 12088 K(x * y,z) * K(y,K(z,x * y)) = K(y * x,z). [hyper(62,a,7962,a,b,12085,a)]. given #10295 (H,wt=17): 12156 K(x * y,z) * K(y,K(z,x)) = K(y * x,z). [para(8692(a,1),12088(a,1,2))]. given #10296 (H,wt=17): 12157 K(x * y,z) * K(y,K(x,z)) = K(y * x,z). [para(8694(a,1),12088(a,1,2))]. given #10297 (H,wt=17): 12158 K(x * y,z) * K(x,K(y,z)) = K(y * x,z). [para(8697(a,1),12088(a,1,2))]. given #10298 (H,wt=17): 12159 K(x * y,z) * K(x,K(z,y)) = K(y * x,z). [para(8031(a,1),12156(a,1,2))]. given #10299 (H,wt=19): 12098 K(x * y,z) * K(x,K(z,x * y)) = K(y * x,z). [hyper(62,a,7962,a,b,12087,a)]. given #10300 (H,wt=19): 12109 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(57,a,12084,a)]. given #10301 (H,wt=19): 12121 T(T(x,K(y,z)),(z \ 1) * y) = T(x,y * (z \ 1)). [para(8386(a,1),12114(a,1,1))]. given #10302 (H,wt=19): 12140 K(x \ y,T(x * z,u)) = K(y / x,T(z * x,u)). [hyper(7988,a,12082,a)]. given #10303 (H,wt=19): 12148 T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). [para(12(a,1),12100(a,1,1,1)),flip(a)]. given #10304 (H,wt=19): 12155 K(x,(y \ 1) \ (y \ z)) = K(x,(z / y) / (y \ 1)). [para(7148(a,1),12154(a,1,2)),flip(a)]. given #10305 (H,wt=19): 12170 K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). [hyper(62,a,4459,a(flip),b,12148,a),flip(a)]. given #10306 (H,wt=20): 12129 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(162(a,1),12095(a,1,2))]. given #10307 (H,wt=20): 12136 K(T(T(x,y),z) * y,u) != w | K(y * T(x,z),u) = w. [para(23(a,1),12127(a,1,1,1))]. given #10308 (H,wt=20): 12143 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(7730(a,1),12142(a,1))]. given #10309 (H,wt=20): 12145 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(9364(a,1),12142(a,1))]. given #10310 (H,wt=20): 12150 K(x,(T(y,z) * z) \ 1) != u | K(x,(z * y) \ 1) = u. [para(12124(a,2),6476(a,1))]. given #10311 (H,wt=20): 12162 x * K(y,K(z,u)) != K(z * y,u) | K(y * z,u) = x. [para(12158(a,1),43(a,1)),flip(a)]. given #10312 (H,wt=21): 12057 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(12039(a,1),108(a,1,2)),flip(a)]. given #10313 (H,wt=21): 12058 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(12049(a,1),7903(a,2,1))]. given #10314 (H,wt=21): 12059 T(x / (y / z),K(z \ y,z)) = T(x,K(z,y)) / (y / z). [para(4777(a,2),12046(a,1,2))]. given #10315 (H,wt=19): 12175 T(x / (y / z),K(z,y)) = T(x,K(z,y)) / (y / z). [hyper(62,a,12038,a(flip),b,12059,a)]. given #10316 (H,wt=21): 12093 K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). [para(8129(a,1),12085(a,1,2)),flip(a)]. given #10317 (H,wt=21): 12139 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,10381,a(flip),b,12080,a),flip(a)]. given #10318 (H,wt=21): 12149 (1 / (1 / x)) \ K(y,T(z,x)) = T(y,z) / ((1 / x) \ y). [para(8427(a,1),12108(a,1,2))]. given #10319 (H,wt=17): 12176 (1 / (1 / x)) \ K(y,T(z,x)) = K(y,z) / x. [hyper(286,a,7376,a(flip),b,12149,a),flip(a)]. given #10320 (H,wt=13): 12177 x \ K(y,T(z,x)) = K(y,z) / x. [para(4884(a,1),12176(a,1,1))]. given #10321 (H,wt=13): 12178 x * (K(y,z) / x) = K(y,T(z,x)). [hyper(131,a,12177,a)]. given #10322 (H,wt=13): 12179 K(x,T(y,z)) / z = z \ K(x,y). [para(8149(a,1),12177(a,1,2)),flip(a)]. given #10323 (H,wt=13): 12181 (x \ K(y,z)) * x = K(y,T(z,x)). [hyper(129,a,12179,a)]. given #10324 (H,wt=15): 12180 x \ K(x * y,z) = K(y * x,z) / x. [para(12085(a,1),12177(a,1,2))]. given #10325 (H,wt=15): 12182 T(K(x,y) / z,K(x,y)) = z \ K(x,y). [hyper(62,a,11146,a,b,12179,a)]. given #10326 (H,wt=15): 12183 K(x,y) / T(z,K(x,y)) = z \ K(x,y). [hyper(62,a,7731,a(flip),b,12179,a)]. given #10327 (H,wt=13): 12186 T(x,x \ K(y,z)) = T(x,K(y,z)). [hyper(35,a,240,a,b,12183,a)]. given #10328 (H,wt=13): 12187 T(x,x \ K(y,z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,12186,a),flip(a)]. given #10329 (H,wt=16): 12184 K(x,T(y,z)) / z != u | z \ K(x,y) = u. [para(12181(a,1),227(a,1,1)),flip(b)]. given #10330 (H,wt=21): 12164 (K(x,K(y,z)) \ 1) * K(z,x * y) = K(y * x,z) \ 1. [para(12158(a,1),6402(a,1,1)),flip(a)]. given #10331 (H,wt=19): 12188 (K(x,K(y,z)) \ 1) * K(z,x * y) = K(z,y * x). [hyper(286,a,4781,a(flip),b,12164,a),flip(a)]. given #10332 (H,wt=17): 12189 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [para(7942(a,1),12188(a,1,1))]. given #10333 (H,wt=17): 12190 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(8040(a,1),12188(a,1,1))]. given #10334 (H,wt=17): 12191 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(8077(a,1),12189(a,1,1))]. given #10335 (H,wt=17): 12192 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(8342,a,12190,a)]. given #10336 (H,wt=17): 12194 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [para(8077(a,1),12192(a,1,2))]. given #10337 (H,wt=22): 12103 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12087(a,1),10151(a,1,1))]. given #10338 (H,wt=23): 12104 K(((x * y) \ z) * (y * x),u) = K(K(y,x) * z,T(u,y * x)). [para(11380(a,1),12087(a,1,1)),flip(a)]. given #10339 (H,wt=23): 12105 K(x * (y / x),L(z \ 1,u,w)) = K(y,T(L(z,u,w) \ 1,x)). [hyper(11804,a,12090,a)]. given #10340 (H,wt=21): 12195 K(x,T(L(y \ 1,z,u),w)) = K(x,T(L(y,z,u) \ 1,w)). [hyper(62,a,12090,a(flip),b,12105,a)]. given #10341 (H,wt=21): 12196 K(x,L(T(y \ 1,z),u,w)) = K(x,T(L(y,u,w) \ 1,z)). [para(25(a,2),12195(a,1,2))]. given #10342 (H,wt=21): 12197 K(L(x \ 1,y,z),T(u,w)) = K(x,L(T(u \ 1,w),y,z)). [hyper(286,a,11911,a,b,12196,a)]. given #10343 (H,wt=21): 12198 K(x \ 1,L(T(y,z),u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11807,a,12197,a)]. given #10344 (H,wt=21): 12199 K(x,L(T(y \ 1,z),u,w)) = K(x,L(T(y,z),u,w) \ 1). [hyper(6476,a,12198,a),flip(a)]. given #10345 (H,wt=23): 12106 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(6132(a,1),12090(a,1,1,2)),flip(a)]. given #10346 (H,wt=23): 12119 T(x,T((T(y,z) * z) \ u,z * y)) = T(x,u / (T(y,z) * z)). [para(12115(a,1),8318(a,1,2))]. given #10347 (H,wt=23): 12138 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z * (1 / (y / x))). [hyper(8251,a,12075,a)]. given #10348 (H,wt=23): 12169 T(T(x,K((y \ 1) \ z,y)),z) = T(x,((y \ 1) \ z) * (y \ 1)). [para(10(a,1),12121(a,1,2))]. given #10349 (H,wt=23): 12200 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,((z \ 1) \ y) * (z \ 1)). [hyper(8126,a,12169,a)]. given #10350 (H,wt=19): 12201 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z \ 1)). [hyper(286,a,12110,a(flip),b,12200,a),flip(a)]. given #10351 (H,wt=17): 12202 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z)). [hyper(286,a,8419,a(flip),b,12201,a),flip(a)]. given #10352 (H,wt=20): 12203 T(T(x,y),K(z,(z \ 1) \ y)) != u | T(x,T(y,z)) = u. [para(12201(a,2),8424(a,1))]. given #10353 (H,wt=24): 12151 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8077(a,1),12137(a,1,1,2))]. given #10354 (H,wt=24): 12174 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(12058(a,2),7980(a,1))]. given #10355 (H,wt=25): 12167 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(6149(a,1),12109(a,1,2)),flip(a)]. given #10356 (H,wt=23): 12204 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(6149(a,1),12167(a,1,2))]. given #10357 (H,wt=25): 12168 K(x,T((y \ 1) * z,K(z,y))) * T(x,K(z,y)) = T(x,z * (y \ 1)). [hyper(7921,a,12121,a)]. given #10358 (H,wt=21): 12206 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,z * (y \ 1)). [para(8412(a,1),12168(a,1,1,2))]. given #10359 (H,wt=25): 12171 T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(115,a,12170,a,b,272,a)]. given #10360 (H,wt=25): 12185 (x \ K(y,z)) \ (K(y,T(z,x)) * u) = (K(y,z) / x) \ (K(y,z) * u). [para(12181(a,1),11455(a,1,2,1))]. given #10361 (H,wt=25): 12207 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(62,a,11053,a(flip),b,12171,a)]. given #10362 (H,wt=26): 12120 K((T(x,y) * y) \ z,T(u,y * x)) != w | K(z / (T(x,y) * y),u) = w. [para(12115(a,1),8250(a,1,2))]. given #10363 (H,wt=26): 12132 K(((x * y) \ x) * z,T(u,y \ 1)) != w | K(z * ((x * y) \ x),u) = w. [para(6753(a,1),12095(a,1,2))]. given #10364 (H,wt=24): 12208 K(((x * y) \ x) * z,T(u,y)) != w | K(z * ((x * y) \ x),u) = w. [para(8423(a,1),12132(a,1))]. given #10365 (H,wt=26): 12134 K((T(x,y) * y) * z,T(u,y * x)) != w | K(z * (T(x,y) * y),u) = w. [para(12115(a,1),12095(a,1,2))]. given #10366 (H,wt=26): 12152 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8149(a,1),12137(a,1,1,2))]. given #10367 (H,wt=26): 12172 x * (T(y,T(z,x)) / x) != u * w | u \ (K(y,z) * (x * (y / x))) = w. [para(12170(a,1),513(a,1))]. given #10368 (H,wt=26): 12205 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(12204(a,1),43(a,2))]. given #10369 (H,wt=27): 12125 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,y * x). [para(12122(a,1),10505(a,2,2))]. given #10370 (H,wt=27): 12165 K((x * (y / x)) * z,u) * K(y,T(K(z,u),x)) = K(z * (x * (y / x)),u). [para(12090(a,1),12158(a,1,2))]. given #10371 (H,wt=27): 12166 K(x * ((y \ 1) \ z),u) * K(x,K(u,y * z)) = K(((y \ 1) \ z) * x,u). [para(11099(a,1),12159(a,1,2))]. given #10372 (H,wt=27): 12193 K(x,K(y,z * u)) * K(x,y * (u \ (z \ 1))) = K(x,(u \ (z \ 1)) * y). [para(11103(a,1),12190(a,1,1))]. given #10373 (H,wt=27): 12209 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),(y * x) \ 1). [para(6458(a,1),12125(a,2,2))]. given #10374 (H,wt=28): 12131 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5957(a,2),12095(a,1,1))]. given #10375 (H,wt=28): 12153 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8671(a,1),12137(a,1,1,2))]. given #10376 (H,wt=28): 12173 T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) != u | K(z,T(x,T(y,z)) / z) = u. [para(12170(a,2),417(a,1,2))]. given #10377 (H,wt=29): 12146 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(400(a,1),12086(a,1,1))]. given #10378 (H,wt=25): 12210 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(824(a,1),12146(a,1,1))]. given #10379 (H,wt=23): 12211 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7996,a,12210,a),flip(a)]. given #10380 (H,wt=26): 12212 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(12210(a,1),7996(a,1))]. given #10381 (H,wt=29): 12160 K(x * T(x \ y,z),u) * K(x,K(T(y / x,z),u)) = K(x * T(y / x,z),u). [para(400(a,1),12157(a,1,1,1))]. given #10382 (H,wt=29): 12163 K(L(x,y,z) * (z * y),u) * K(L(x,y,z),K(z * y,u)) = K(z * (y * x),u). [para(92(a,1),12158(a,2,1))]. given #10383 (H,wt=29): 12213 K(L(x,y,z) * (z * y),u) * K(u,K(z * y,L(x,y,z))) = K(z * (y * x),u). [para(8031(a,1),12163(a,1,2))]. given #10384 (H,wt=31): 12161 K((x * y) * T(z,y),u) * K(z * y,K(R(x,y,z),u)) = K((z * y) * R(x,y,z),u). [para(11207(a,1),12157(a,1,1,1))]. given #10385 (H,wt=33): 12147 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1817(a,1),12096(a,1,1)),flip(a)]. given #10386 (H,wt=31): 12214 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(64(a,1),12147(a,2,1,2,2,1,2))]. given #10387 (H,wt=29): 12215 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),12214(a,2,1,2))]. given #10388 (H,wt=30): 12216 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12215(a,2),8250(a,1))]. given #10389 (H,wt=34): 11840 (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x * K(y,z))) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(7541(a,1),11753(a,1,1))]. given #10390 (H,wt=35): 11974 ((x * y) * K(z,u)) * K(u,L(z,y,(y * K(z,u)) \ ((x * y) * K(z,u)))) = R(x,y,K(z,u)) * y. [para(20(a,2),11973(a,2,1))]. given #10391 (H,wt=34): 12217 ((x * y) * K(z,u)) * K(u,L(z,y,R(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(588(a,1),11974(a,1,2,2,3))]. given #10392 (H,wt=36): 11841 (x * (y * K(z,u))) * K(w,L(v5,K(z,L(u,y,x)),x * y)) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). [para(11753(a,1),11753(a,1,1))]. given #10393 (H,wt=36): 11951 K(x,L(T(T(y \ z,y),u),T(y,y \ z),T(y,y \ z) \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [para(3921(a,1),11947(a,1,2,1,1))]. given #10394 (H,wt=37): 11948 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(y \ z,u),y,y \ u) \ 1). [hyper(8520,a,11947,a),flip(a)]. given #10395 (H,wt=37): 12016 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(12014(a,1),11291(a,1,1,2,2))]. given #10396 (H,wt=35): 12219 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(12017(a,1),12016(a,1,2,1,1))]. given #10397 (H,wt=21): 12220 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(62,a,11291,a(flip),b,12219,a),flip(a)]. given #10398 (H,wt=37): 12218 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T((y \ z) \ 1,u),y,y \ u)). [hyper(286,a,12199,a,b,11948,a),flip(a)]. given #10399 (H,wt=35): 12221 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(z \ y,u),y,y \ u)). [hyper(286,a,11942,a(flip),b,12218,a),flip(a)]. given #10400 (H,wt=24): 12222 K(x,L(T(y \ z,u),z,z \ u)) = K(x,(((u / z) * y) / u) \ 1). [hyper(9024,a,12221,a),flip(a)]. given #10401 (H,wt=22): 12223 K(x,L(T(y \ z,u),z,z \ u)) = K(x,u / ((u / z) * y)). [hyper(286,a,5964,a(flip),b,12222,a),flip(a)]. given #10402 (H,wt=26): 12224 K(x,L(T(y \ z,u),(y \ z) \ z,z \ u)) = K(x,u / ((u / z) * y)). [hyper(11873,a,12223,a)]. given #10403 (H,wt=38): 9438 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(286,a,3155,a,b,9420,a),flip(a)]. given #10404 (H,wt=38): 9640 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(9513(a,1),1307(a,1,1,2))]. given #10405 (H,wt=33): 12225 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(210(a,1),9640(a,1,1)),flip(a)]. given #10406 (H,wt=33): 12226 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(8115(a,1),12225(a,2,1,1))]. given #10407 (H,wt=33): 12227 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(286,a,25,a,b,12226,a),flip(a)]. given #10408 (H,wt=26): 12228 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(9160,a,12227,a),flip(a)]. given #10409 (H,wt=19): 12229 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(10427,a,12228,a)]. given #10410 (H,wt=19): 12231 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5979,a,12229,a)]. given #10411 (H,wt=19): 12233 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(8115(a,1),12229(a,1,1))]. given #10412 (H,wt=19): 12237 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12229,a(flip),b,12231,a)]. given #10413 (H,wt=19): 12238 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(2093(a,1),12231(a,2,2))]. given #10414 (H,wt=19): 12239 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(2093(a,1),12233(a,2,2))]. given #10415 (H,wt=21): 12234 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(286,a,4659,a(flip),b,12231,a)]. given #10416 (H,wt=21): 12235 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(62,a,11562,a,b,12231,a)]. given #10417 (H,wt=21): 12242 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5988,a,12237,a),flip(a)]. given #10418 (H,wt=21): 12243 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4749,a,12237,a)]. given #10419 (H,wt=19): 12250 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(33,a,12235,a,b,12243,a)]. given #10420 (H,wt=19): 12251 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2093(a,2),12250(a,1,1))]. given #10421 (H,wt=19): 12252 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2093(a,1),12251(a,2,2))]. given #10422 (H,wt=21): 12248 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2093(a,2),12235(a,1,2,1))]. given #10423 (H,wt=19): 12253 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(33,a,4659,a(flip),b,12248,a),flip(a)]. given #10424 (H,wt=19): 12254 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12248(a,1),12242(a,1,1))]. given #10425 (H,wt=19): 12255 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(62,a,12252,a(flip),b,12253,a),flip(a)]. given #10426 (H,wt=22): 12247 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12234(a,1),4663(a,1))]. given #10427 (H,wt=22): 12249 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12242(a,1),6160(a,1,1))]. given #10428 (H,wt=22): 12257 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(23(a,1),12247(a,1))]. given #10429 (H,wt=23): 12246 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12238(a,1),11055(a,1,1))]. given #10430 (H,wt=21): 12259 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4684,a,12246,a),flip(a)]. given #10431 (H,wt=21): 12261 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(286,a,12250,a(flip),b,12259,a),flip(a)]. given #10432 (H,wt=21): 12263 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(286,a,12253,a,b,12261,a),flip(a)]. given #10433 (H,wt=24): 12244 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12237(a,1),4727(a,1))]. given #10434 (H,wt=24): 12260 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(12246(a,1),4684(a,1))]. given #10435 (H,wt=25): 12236 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(62,a,9921,a,b,12231,a)]. given #10436 (H,wt=25): 12241 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12233(a,1),10479(a,2,1))]. given #10437 (H,wt=23): 12269 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(286,a,4603,a,b,12241,a),flip(a)]. given #10438 (H,wt=23): 12270 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5839(a,1),12269(a,1,2))]. given #10439 (H,wt=25): 12264 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(62,a,11153,a,b,12261,a),flip(a)]. given #10440 (H,wt=16): 12271 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(286,a,11132,a(flip),b,12264,a),flip(a)]. given #10441 (H,wt=16): 12272 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2093(a,1),12271(a,1,2))]. given #10442 (H,wt=16): 12273 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),12272(a,1,2,2,2,3))]. given #10443 (H,wt=25): 12268 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(62,a,12239,a(flip),b,12236,a),flip(a)]. given #10444 (H,wt=25): 12274 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12249,a,12268,a)]. given #10445 (H,wt=27): 12240 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(9845(a,1),12233(a,1,1,2)),flip(a)]. given #10446 (H,wt=27): 12256 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12253(a,1),4659(a,2,2)),flip(a)]. given #10447 (H,wt=21): 12277 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4831,a,12256,a)]. given #10448 (H,wt=27): 12275 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(286,a,4659,a(flip),b,12274,a)]. given #10449 (H,wt=25): 12279 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,4659,a(flip),b,12275,a)]. given #10450 (H,wt=27): 12276 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(9920(a,1),12240(a,2,1))]. given #10451 (H,wt=27): 12280 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(286,a,12229,a(flip),b,12276,a),flip(a)]. given #10452 (H,wt=25): 12281 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9845(a,1),12280(a,1,2,2))]. given #10453 (H,wt=25): 12282 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(286,a,12237,a,b,12281,a)]. given #10454 (H,wt=28): 12258 T(T(x,K(y,z)),K(u,R(y,w,v5))) != v6 | T(x,K(y,z) * K(R(u,w,v5),y)) = v6. [para(9921(a,1),12247(a,1))]. given #10455 (H,wt=29): 12265 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,11022,a,b,12261,a)]. given #10456 (H,wt=29): 12267 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(8924(a,1),12261(a,1,1))]. given #10457 (H,wt=25): 12284 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8924(a,1),12267(a,1,2)),flip(a)]. given #10458 (H,wt=23): 12285 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(286,a,12261,a(flip),b,12284,a),flip(a)]. given #10459 (H,wt=23): 12288 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7827(a,1),12285(a,1,1)),flip(a)]. given #10460 (H,wt=23): 12289 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(62,a,12255,a(flip),b,12288,a)]. given #10461 (H,wt=22): 12290 K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. [para(12289(a,1),8851(a,1))]. given #10462 (H,wt=24): 12286 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12284(a,1),8823(a,1))]. given #10463 (H,wt=22): 12292 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12259(a,1),12286(a,1))]. given #10464 (H,wt=22): 12293 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12263(a,1),12286(a,1))]. given #10465 (H,wt=26): 12294 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12270(a,2),12293(a,1))]. given #10466 (H,wt=29): 12278 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11557(a,1),12277(a,1,1))]. given #10467 (H,wt=29): 12283 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(8056(a,1),12265(a,1,2,2,2))]. given #10468 (H,wt=21): 12295 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(6026,a,12283,a)]. given #10469 (H,wt=21): 12296 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8056(a,1),12295(a,1,1))]. given #10470 (H,wt=32): 12262 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(7411(a,1),12259(a,1,2,2)),flip(a)]. given #10471 (H,wt=32): 12297 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(9100(a,1),12262(a,2,2))]. given #10472 (H,wt=30): 12298 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(286,a,12259,a(flip),b,12297,a),flip(a)]. given #10473 (H,wt=25): 12299 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(7411(a,1),12298(a,1,1,2))]. given #10474 (H,wt=33): 12291 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(12289(a,1),11666(a,2,2))]. given #10475 (H,wt=33): 12300 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(286,a,10910,a(flip),b,12291,a),flip(a)]. given #10476 (H,wt=38): 10019 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(10017(a,1),3403(a,1,1))]. given #10477 (H,wt=36): 12302 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(10017(a,1),10019(a,1,2,1,1)),flip(a)]. given #10478 (H,wt=33): 12303 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(286,a,3403,a(flip),b,12302,a),flip(a)]. given #10479 (H,wt=27): 12305 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1821(a,1),12303(a,2,1))]. given #10480 (H,wt=21): 12306 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1821(a,1),12305(a,1,1))]. given #10481 (H,wt=34): 12307 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(12306(a,1),11769(a,1,2,2))]. given #10482 (H,wt=38): 10767 (T(x,a(y,z,z \ 1)) * u) \ ((x * a(y,z,z \ 1)) * u) = R(a(y,z,z \ 1),T(x,a(y,z,z \ 1)),u). [para(10756(a,1),836(a,1,1)),flip(a)]. given #10483 (H,wt=31): 12308 R(a(x,y,y \ 1),T(z,a(x,y,y \ 1)),u) = (z * u) \ ((z * a(x,y,y \ 1)) * u). [para(10754(a,1),10767(a,1,1,1)),flip(a)]. given #10484 (H,wt=24): 12309 (x * y) \ ((x * a(z,u,u \ 1)) * y) = R(a(z,u,u \ 1),x,y). [para(10754(a,1),12308(a,1,2)),flip(a)]. given #10485 (H,wt=24): 12310 (x * y) * R(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. [hyper(131,a,12309,a)]. given #10486 (H,wt=38): 11151 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(5993(a,2),11150(a,2,2))]. given #10487 (H,wt=33): 12311 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),11151(a,1,2,2,2)),flip(a)]. given #10488 (H,wt=38): 11613 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(4817(a,1),11612(a,2,2))]. given #10489 (H,wt=34): 12312 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),11613(a,2,1,1))]. given #10490 (H,wt=30): 12313 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(286,a,10032,a(flip),b,12312,a),flip(a)]. given #10491 (H,wt=26): 12315 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),12313(a,1,1,1))]. given #10492 (H,wt=22): 12316 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),12315(a,1,2,2))]. given #10493 (H,wt=25): 12317 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6249(a,1),12316(a,1,2,1,3))]. given #10494 (H,wt=38): 11880 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K((((T(u,w) \ 1) / x) * y) / (T(u,w) \ 1),z). [para(8643(a,2),11789(a,1,2,1))]. given #10495 (H,wt=38): 11882 (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(4150(a,1),11881(a,1,1))]. given #10496 (H,wt=36): 12319 (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(10166(a,1),11882(a,1,2))]. given #10497 (H,wt=34): 12320 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(4050(a,1),12319(a,1,2)),flip(a)]. given #10498 (H,wt=34): 12321 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),12320(a,2,2))]. given #10499 (H,wt=30): 12322 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(286,a,7905,a(flip),b,12321,a),flip(a)]. given #10500 (H,wt=30): 12323 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(11780(a,1),12322(a,2,1))]. given #10501 (H,wt=28): 12324 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(286,a,7669,a(flip),b,12323,a),flip(a)]. given #10502 (H,wt=26): 12325 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7721(a,1),12324(a,1,2,3))]. given #10503 (H,wt=22): 12326 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3945(a,1),12325(a,1,2,3))]. given #10504 (H,wt=26): 12327 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,12019,a,b,12326,a)]. given #10505 (H,wt=26): 12328 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11732(a,1),12327(a,1,1))]. given #10506 (H,wt=20): 12329 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2786(a,1),12328(a,1,2)),flip(a)]. given #10507 (H,wt=20): 12330 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(286,a,5839,a(flip),b,12329,a),flip(a)]. given #10508 (H,wt=20): 12331 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11780(a,1),12330(a,2,1))]. given #10509 (H,wt=18): 12332 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(286,a,4667,a,b,12331,a),flip(a)]. given #10510 (H,wt=38): 11916 x * (L(x \ 1,y \ 1,y) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(713(a,1),11914(a,1,2,2,2))]. given #10511 (H,wt=37): 12333 x * ((y * ((x * y) \ 1)) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(6398(a,1),11916(a,1,2,1))]. given #10512 (H,wt=38): 11917 x * (L(x \ 1,y,y \ 1) * K(z,a(y \ 1,y,x \ 1))) = T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1. [para(6339(a,1),11914(a,1,2,2,2))]. given #10513 (H,wt=29): 12334 T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * (L(x \ 1,y,y \ 1) * 1). [para(10763(a,1),11917(a,1,2,2)),flip(a)]. given #10514 (H,wt=27): 12335 T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * L(x \ 1,y,y \ 1). [para(8(a,1),12334(a,2,2))]. given #10515 (H,wt=25): 12337 T(R(x,y \ 1,y) * (x \ 1),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(6679(a,1),12335(a,1,1,1))]. given #10516 (H,wt=23): 12338 T(x \ R(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(1045(a,1),12337(a,1,1,1))]. given #10517 (H,wt=21): 12339 T(a(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(3501(a,1),12338(a,1,1,1))]. given #10518 (H,wt=19): 12340 x * L(x \ 1,y,y \ 1) = a(x,y \ 1,y) \ 1. [para(107(a,1),12339(a,1,1)),flip(a)]. given #10519 (H,wt=22): 12341 a(x * y,y \ 1,y) \ 1 = x * (y * ((y \ 1) * (x \ 1))). [hyper(62,a,5921,a(flip),b,12340,a),flip(a)]. given #10520 (H,wt=20): 12342 a(x * y,y \ 1,y) \ 1 = x * (y * ((x * y) \ 1)). [para(6394(a,1),12341(a,2,2,2))]. given #10521 (H,wt=39): 4440 (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(4401(a,1),448(a,1,1))]. given #10522 (H,wt=39): 5694 R(K(x,x \ R(y,z,u)),(x \ R(y,z,u)) * x,z * u) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [para(4606(a,1),486(a,1,1))]. given #10523 (H,wt=39): 5984 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(4774(a,1),1787(a,1,2)),flip(a)]. given #10524 (H,wt=33): 12347 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [hyper(286,a,6272,a(flip),b,5984,a),flip(a)]. given #10525 (H,wt=29): 12348 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(4636(a,1),12347(a,1,1))]. given #10526 (H,wt=23): 12349 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(7798(a,1),12348(a,1,1,2))]. given #10527 (H,wt=21): 12350 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(6717(a,1),12349(a,2,2))]. given #10528 (H,wt=21): 12351 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(4885(a,2),12350(a,2,2,2,1))]. given #10529 (H,wt=21): 12352 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [hyper(129,a,12351,a)]. given #10530 (H,wt=21): 12353 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(34,a,6233,a(flip),b,12352,a),flip(a)]. given #10531 (H,wt=21): 12354 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(121,a,12353,a)]. given #10532 (H,wt=25): 12355 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(8113(a,1),12354(a,1,2,2))]. given #10533 (H,wt=39): 6579 (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,6578,a,b,1564,a)]. given #10534 (H,wt=39): 9873 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(8288(a,1),9411(a,1,2)),flip(a)]. given #10535 (H,wt=39): 10363 ((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(10361(a,1),7479(a,2,2,2,1,1))]. given #10536 (H,wt=29): 12358 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,10468,a(flip),b,10363,a)]. given #10537 (H,wt=27): 12359 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11542,a,12358,a)]. given #10538 (H,wt=27): 12362 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10405(a,1),12359(a,2,2,2))]. given #10539 (H,wt=23): 12363 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),12362(a,2,2,2,1))]. given #10540 (H,wt=19): 12364 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),12363(a,2,2))]. given #10541 (H,wt=17): 12366 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(286,a,10455,a(flip),b,12364,a),flip(a)]. given #10542 (H,wt=20): 12368 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(12366(a,1),4268(a,1))]. given #10543 (H,wt=21): 12367 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(62,a,11543,a(flip),b,12366,a),flip(a)]. given #10544 (H,wt=39): 10635 (x * ((T(y,z) * K(u,y)) * u)) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(5726(a,1),10601(a,2,1,2))]. given #10545 (H,wt=37): 12370 (x * (T(y,z) * T(u,y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(6864(a,1),10635(a,1,1,2))]. given #10546 (H,wt=37): 12371 (x * (K(y,z) * (u * y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(5717(a,2),12370(a,1,1,2))]. given #10547 (H,wt=33): 12372 (x * (T(y,z) * T(z,u))) / (T(z,u) * K(y,z)) = (x * (K(z,u) * (y * z))) / T(z,T(u,y)). [para(9417(a,1),12371(a,1,2)),flip(a)]. given #10548 (H,wt=39): 11003 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [para(104(a,1),10942(a,1,1))]. given #10549 (H,wt=36): 12373 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(470(a,1),11003(a,1,2)),flip(a)]. given #10550 (H,wt=28): 12374 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(11004,a,12373,a),flip(a)]. given #10551 (H,wt=25): 12375 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11695(a,1),12374(a,1,2))]. given #10552 (H,wt=20): 12376 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(62,a,11026,a(flip),b,12375,a)]. given #10553 (H,wt=39): 11292 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(9983(a,1),11291(a,1,1,2,2))]. given #10554 (H,wt=39): 12343 (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(4348(a,1),4440(a,1,1,2))]. given #10555 (H,wt=39): 12356 (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(5839(a,1),6579(a,1,1,2))]. given #10556 (H,wt=39): 12357 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(8032(a,1),9873(a,2,1))]. given #10557 (H,wt=35): 12383 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(286,a,8626,a(flip),b,12357,a),flip(a)]. given #10558 (H,wt=39): 12377 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(9836(a,1),11292(a,1,2,1,1))]. given #10559 (H,wt=23): 12384 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(62,a,11291,a(flip),b,12377,a),flip(a)]. given #10560 (H,wt=23): 12385 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(10124,a,12384,a),flip(a)]. given #10561 (H,wt=19): 12386 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(8246,a,12385,a)]. given #10562 (H,wt=19): 12387 K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). [hyper(9735,a,12386,a)]. given #10563 (H,wt=28): 12388 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(12387(a,2),10597(a,1,1))]. given #10564 (H,wt=23): 12389 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(62,a,10596,a(flip),b,12388,a)]. given #10565 (H,wt=23): 12390 K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). [hyper(11374,a,12389,a)]. given #10566 (H,wt=22): 12391 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(286,a,7456,a(flip),b,12390,a),flip(a)]. given #10567 (H,wt=17): 12392 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(20(a,2),12391(a,1,2,1)),flip(a)]. given #10568 (H,wt=17): 12395 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6773(a,1),12392(a,1,1)),flip(a)]. given #10569 (H,wt=19): 12394 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5961(a,1),12392(a,1,1)),flip(a)]. given #10570 (H,wt=19): 12397 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(8618,a,12394,a)]. given #10571 (H,wt=27): 12396 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11487(a,2),12392(a,1,1))]. given #10572 (H,wt=23): 12398 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(12395(a,1),12396(a,1,1)),flip(a)]. given #10573 (H,wt=29): 12393 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(485(a,1),12392(a,2,2,1))]. given #10574 (H,wt=29): 12399 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(4885(a,2),12393(a,1,1,2,1,1))]. given #10575 (H,wt=39): 12378 ((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(62,a,4419,a(flip),b,12343,a)]. given #10576 (H,wt=26): 12400 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4536,a,12378,a),flip(a)]. given #10577 (H,wt=15): 12404 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3503,a,12400,a),flip(a)]. given #10578 (H,wt=13): 12407 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1356(a,1),12404(a,1,3)),flip(a)]. given #10579 (H,wt=15): 12408 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2646(a,1),12404(a,1,3)),flip(a)]. given #10580 (H,wt=21): 12411 a(x,y,z * (u * (w \ 1))) = a(x,y,z * (u * (1 / w))). [para(4448(a,1),12408(a,1,3)),flip(a)]. given #10581 (H,wt=23): 12409 a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w,v5)) * K(v5,w). [hyper(286,a,6883,a,b,12408,a),flip(a)]. given #10582 (H,wt=18): 12412 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(12409(a,2),2676(a,1))]. given #10583 (H,wt=16): 12414 a(x,y,(z \ 1) \ 1) != u | a(x,y,z) = u. [para(1402(a,1),12412(a,1,3))]. given #10584 (H,wt=18): 12415 a(x \ 1,y \ 1,y) != z | a(y \ 1,y,x) = z. [para(6528(a,1),12414(a,1))]. given #10585 (H,wt=18): 12416 a(x \ 1,y,y \ 1) != z | a(y,y \ 1,x) = z. [para(7002(a,1),12414(a,1))]. given #10586 (H,wt=18): 12417 a(x,y \ 1,y) != z | a(y \ 1,y,x \ 1) = z. [para(4893(a,1),12415(a,1,1))]. given #10587 (H,wt=28): 12410 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(62,a,4537,a,b,12408,a)]. given #10588 (H,wt=28): 12418 a(R(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,L(x \ 1,y,z)) = w. [para(6671(a,2),12415(a,1,1))]. given #10589 (H,wt=28): 12419 a(L(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,R(x \ 1,y,z)) = w. [para(6686(a,2),12415(a,1,1))]. given #10590 (H,wt=28): 12420 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2140(a,1),12410(a,1,1,1,2,2))]. given #10591 (H,wt=28): 12422 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(w,w \ 1) = a(x,y,z). [para(4880(a,1),12420(a,1,1,1,2,2,2))]. given #10592 (H,wt=39): 12382 ((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(4807(a,1),12356(a,1,1))]. given #10593 (H,wt=40): 3891 ((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(3887(a,1),1716(a,1,1,2,1))]. given #10594 (H,wt=32): 12423 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3966(a,1),3891(a,1,1,2)),flip(a)]. given #10595 (H,wt=22): 12424 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(286,a,1707,a(flip),b,12423,a),flip(a)]. given #10596 (H,wt=18): 12425 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3887(a,1),12424(a,1,3))]. given #10597 (H,wt=30): 12426 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(12425(a,1),3585(a,1,1,1))]. given #10598 (H,wt=19): 12427 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(12425(a,1),12426(a,1,2))]. given #10599 (H,wt=17): 12428 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(315,a,12427,a)]. given #10600 (H,wt=17): 12429 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(62,a,4421,a,b,12428,a)]. given #10601 (H,wt=19): 12430 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(12429(a,1),201(a,1,2))]. given #10602 (H,wt=40): 3900 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(3007(a,1),3886(a,2,2))]. given #10603 (H,wt=36): 12432 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(76(a,1),3900(a,1,1,2))]. given #10604 (H,wt=36): 12433 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),12432(a,1,1))]. given #10605 (H,wt=35): 12434 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3004(a,1),12433(a,1,1))]. given #10606 (H,wt=31): 12435 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(76(a,1),12434(a,1,2,2,2))]. given #10607 (H,wt=31): 12436 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),12435(a,1,2,2))]. given #10608 (H,wt=30): 12437 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3004(a,1),12436(a,1,2,2))]. given #10609 (H,wt=22): 12438 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),12437(a,1,2))]. given #10610 (H,wt=25): 12440 (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). [para(12438(a,1),4277(a,1,1))]. given #10611 (H,wt=25): 12441 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(175,a,12440,a(flip))]. given #10612 (H,wt=22): 12442 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(62,a,3010,a(flip),b,12441,a)]. given #10613 (H,wt=40): 6389 L(x \ (y * z),x,K(T(y,y * z) * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(3689(a,1),6324(a,1,1,2))]. given #10614 (H,wt=36): 12443 L(x \ (y * z),x,K(y * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(8839(a,1),6389(a,1,3))]. given #10615 (H,wt=40): 7179 R(x \ 1,y,z) * R(R(x \ 1,y,z) \ 1,u \ 1,w) = R((L(((x \ 1) \ 1) \ 1,u,w \ 1) * x) \ 1,y,z). [para(6680(a,2),3383(a,2,1))]. given #10616 (H,wt=31): 12445 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,R(x \ 1,z,u)). [hyper(62,a,6452,a(flip),b,7179,a),flip(a)]. given #10617 (H,wt=40): 8721 (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(8715(a,1),4726(a,1,1,1))]. given #10618 (H,wt=40): 9108 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(9061(a,1),445(a,1,1,1))]. given #10619 (H,wt=40): 9854 (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(4497(a,2),9843(a,2,2))]. given #10620 (H,wt=40): 9996 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(9910(a,1),428(a,1,2))]. given #10621 (H,wt=35): 12448 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(6928(a,1),9996(a,1,1)),flip(a)]. given #10622 (H,wt=30): 12449 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(6078,a,12448,a(flip)),flip(a)]. given #10623 (H,wt=28): 12451 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(286,a,4675,a(flip),b,12449,a),flip(a)]. given #10624 (H,wt=23): 12452 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6928(a,1),12451(a,1,2))]. given #10625 (H,wt=21): 12453 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(62,a,8784,a(flip),b,12452,a)]. given #10626 (H,wt=19): 12455 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(286,a,11821,a(flip),b,12453,a),flip(a)]. given #10627 (H,wt=17): 12456 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12455(a,1),4702(a,1,1))]. given #10628 (H,wt=22): 12457 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12455(a,1),4822(a,1,1))]. given #10629 (H,wt=21): 12458 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(286,a,12332,a(flip),b,12457,a),flip(a)]. given #10630 (H,wt=40): 11580 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(8032(a,1),11578(a,1,1,1,2,1))]. given #10631 (H,wt=40): 12318 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [para(7162(a,2),11880(a,2,1))]. given #10632 (H,wt=40): 12446 (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(8071(a,1),8721(a,1,1,2))]. given #10633 (H,wt=36): 12460 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(8280(a,1),12446(a,1,1)),flip(a)]. given #10634 (H,wt=36): 12461 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(7723(a,2),12460(a,2,2))]. given #10635 (H,wt=36): 12462 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(286,a,7818,a(flip),b,12461,a),flip(a)]. given #10636 (H,wt=36): 12463 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(8077(a,1),12462(a,1,1))]. given #10637 (H,wt=23): 12464 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(6839,a,12463,a)]. given #10638 (H,wt=40): 12447 (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(5839(a,1),9854(a,1,1,2,2))]. given #10639 (H,wt=36): 12466 (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(5733(a,1),12447(a,1,1,2))]. given #10640 (H,wt=32): 12467 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10540(a,1),12466(a,1,2))]. given #10641 (H,wt=30): 12468 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9768(a,1),12467(a,1,2))]. given #10642 (H,wt=30): 12470 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5839(a,1),12468(a,2,2,1,1))]. given #10643 (H,wt=26): 12471 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8118(a,1),12470(a,2,2,1))]. given #10644 (H,wt=26): 12472 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(10901(a,2),12471(a,2,2))]. given #10645 (H,wt=22): 12473 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),12472(a,2,2,1))]. given #10646 (H,wt=40): 12459 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(9097(a,1),11580(a,1,1,1,2))]. given #10647 (H,wt=38): 12475 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(12296(a,1),12459(a,1,1,1))]. given #10648 (H,wt=41): 4502 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1569(a,1),4474(a,2,1,1))]. given #10649 (H,wt=41): 7262 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(7261(a,1),686(a,1,2,1)),flip(a)]. given #10650 (H,wt=33): 12476 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),7262(a,2,2,1,2))]. given #10651 (H,wt=31): 12477 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(286,a,214,a(flip),b,12476,a),flip(a)]. given #10652 (H,wt=25): 12478 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(214(a,1),12477(a,1,2))]. given #10653 (H,wt=25): 12479 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5839(a,1),12478(a,1,2,2))]. given #10654 (H,wt=41): 8734 K(x,(((y \ 1) / z) * u) \ (w \ 1)) * K(x,K((u \ 1) * ((z \ 1) \ y),w)) = K(x,w \ ((u \ 1) * ((z \ 1) \ y))). [para(6504(a,2),8730(a,1,1))]. given #10655 (H,wt=41): 10033 (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(10031(a,1),7344(a,1,1,2))]. given #10656 (H,wt=31): 12481 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)). [para(1390(a,1),10033(a,1,1)),flip(a)]. given #10657 (H,wt=19): 12483 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8751,a,12481,a),flip(a)]. given #10658 (H,wt=19): 12485 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(131,a,12483,a)]. given #10659 (H,wt=37): 12486 (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(12485(a,1),12382(a,1,1))]. given #10660 (H,wt=35): 12487 (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(6578(a,1),12486(a,1,2))]. given #10661 (H,wt=19): 12488 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1077,a,12487,a)]. given #10662 (H,wt=19): 12489 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(286,a,5839,a(flip),b,12488,a),flip(a)]. given #10663 (H,wt=29): 12490 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,9035,a,b,12489,a)]. given #10664 (H,wt=13): 12491 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2845,a,12490,a),flip(a)]. given #10665 (H,wt=19): 12492 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(8261,a,12491,a),flip(a)]. given #10666 (H,wt=15): 12494 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(8249,a,12492,a),flip(a)]. given #10667 (H,wt=29): 12496 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(12494(a,1),10503(a,1,1))]. given #10668 (H,wt=27): 12497 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(5747,a,12496,a)]. given #10669 (H,wt=26): 12499 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12497(a,1),10463(a,1))]. given #10670 (H,wt=27): 12498 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10495(a,1),12496(a,1,2,2))]. given #10671 (H,wt=27): 12500 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10461(a,1),12498(a,1,2))]. given #10672 (H,wt=19): 12501 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5853,a,12500,a),flip(a)]. given #10673 (H,wt=19): 12502 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12499,a,12501,a)]. given #10674 (H,wt=19): 12504 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12502(a,1),10474(a,1,1)),flip(a)]. given #10675 (H,wt=15): 12506 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(47,a,12504,a)]. given #10676 (H,wt=19): 12505 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [hyper(4906,a,12504,a)]. given #10677 (H,wt=18): 12510 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12505(a,1),4907(a,1))]. given #10678 (H,wt=40): 12508 (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(286,a,9909,a,b,12506,a)]. given #10679 (H,wt=38): 12511 (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(10687(a,1),12508(a,1,1,2))]. given #10680 (H,wt=36): 12512 (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(582(a,1),12511(a,1,1))]. given #10681 (H,wt=34): 12513 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(215(a,1),12512(a,1,2)),flip(a)]. given #10682 (H,wt=27): 12514 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(286,a,1155,a(flip),b,12513,a),flip(a)]. given #10683 (H,wt=27): 12515 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),12514(a,2,3))]. given #10684 (H,wt=27): 12516 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(12510,a,12515,a)]. given #10685 (H,wt=23): 12517 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(62,a,12502,a(flip),b,12516,a)]. given #10686 (H,wt=21): 12519 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(62,a,12367,a(flip),b,12517,a),flip(a)]. given #10687 (H,wt=27): 12521 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,11632,a,b,12519,a)]. given #10688 (H,wt=25): 12522 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10028,a,12521,a)]. given #10689 (H,wt=28): 12524 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12522(a,1),11592(a,1,2)),flip(a)]. given #10690 (H,wt=26): 12525 (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),12524(a,2,2,2))]. given #10691 (H,wt=24): 12526 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10488(a,1),12525(a,2,2))]. given #10692 (H,wt=25): 12527 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,11705,a(flip),b,12526,a)]. given #10693 (H,wt=22): 12528 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(334(a,1),12527(a,1,2,3))]. given #10694 (H,wt=18): 12529 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10950,a,12528,a)]. given #10695 (H,wt=17): 12530 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(62,a,12376,a,b,12529,a)]. given #10696 (H,wt=17): 12532 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(10(a,1),12530(a,1,2)),flip(a)]. given #10697 (H,wt=19): 12533 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12532(a,1),10459(a,1,2)),flip(a)]. given #10698 (H,wt=22): 12531 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,12522,a(flip),b,12529,a),flip(a)]. given #10699 (H,wt=22): 12536 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12531(a,1),10490(a,1,1))]. given #10700 (H,wt=22): 12537 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(62,a,12057,a(flip),b,12536,a)]. given #10701 (H,wt=23): 12534 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12532(a,1),10467(a,1,2)),flip(a)]. given #10702 (H,wt=29): 12535 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,10495,a(flip),b,12533,a),flip(a)]. given #10703 (H,wt=25): 12538 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10061(a,1),12535(a,1,2,1)),flip(a)]. given #10704 (H,wt=25): 12539 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(286,a,12534,a,b,12538,a),flip(a)]. given #10705 (H,wt=36): 12541 (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(12539(a,1),11696(a,2,1,1))]. given #10706 (H,wt=41): 11533 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(428(a,1),8355(a,1,2)),flip(a)]. given #10707 (H,wt=41): 12542 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(62,a,10981,a(flip),b,11533,a)]. given #10708 (H,wt=33): 12543 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(10449,a,12542,a(flip)),flip(a)]. given #10709 (H,wt=28): 12544 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(9175(a,1),12543(a,1,2))]. given #10710 (H,wt=34): 12545 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12(a,1),12544(a,1,1,2))]. given #10711 (H,wt=42): 9014 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(8963(a,1),601(a,1,2))]. given #10712 (H,wt=34): 12546 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(6646(a,1),9014(a,1,1,1))]. given #10713 (H,wt=26): 12547 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3927(a,1),12546(a,1,1)),flip(a)]. given #10714 (H,wt=20): 12548 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(286,a,11224,a(flip),b,12547,a),flip(a)]. given #10715 (H,wt=42): 10737 (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(10735(a,1),591(a,1,1,1)),flip(a)]. given #10716 (H,wt=37): 12550 (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(286,a,470,a(flip),b,10737,a),flip(a)]. given #10717 (H,wt=33): 12551 (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,1826,a(flip),b,12550,a)]. given #10718 (H,wt=33): 12552 (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(5847(a,1),12551(a,1,1,2,1))]. given #10719 (H,wt=31): 12553 (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(6158(a,1),12552(a,1,1,2,1))]. given #10720 (H,wt=25): 12554 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8184(a,1),12553(a,1,1,2,1)),flip(a)]. given #10721 (H,wt=25): 12555 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(62,a,4094,a(flip),b,12554,a),flip(a)]. given #10722 (H,wt=41): 12557 (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(12555(a,1),1133(a,2,1,2)),flip(a)]. given #10723 (H,wt=41): 12558 (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(5839(a,1),12557(a,1,1))]. given #10724 (H,wt=33): 12559 (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(10383(a,1),12558(a,1,1))]. given #10725 (H,wt=15): 12560 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(258,a,12559,a),flip(a)]. given #10726 (H,wt=23): 12563 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(62,a,7397,a(flip),b,12560,a)]. given #10727 (H,wt=23): 12564 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(286,a,7830,a,b,12563,a),flip(a)]. given #10728 (H,wt=21): 12565 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(62,a,8890,a(flip),b,12564,a),flip(a)]. given #10729 (H,wt=19): 12567 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(286,a,11184,a(flip),b,12565,a),flip(a)]. given #10730 (H,wt=19): 12568 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(8459,a,12567,a)]. given #10731 (H,wt=42): 11139 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(11105(a,2),657(a,1,2,2)),flip(a)]. given #10732 (H,wt=42): 12480 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(286,a,3403,a(flip),b,12479,a),flip(a)]. given #10733 (H,wt=40): 12570 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(4781(a,1),12480(a,2,1,2,1))]. given #10734 (H,wt=36): 12571 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(10236(a,1),12570(a,2,1))]. given #10735 (H,wt=34): 12572 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(9490(a,1),12571(a,1,2,2,2,1))]. given #10736 (H,wt=26): 12573 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,12479,a(flip),b,12572,a)]. given #10737 (H,wt=19): 12574 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(62,a,11265,a(flip),b,12573,a)]. given #10738 (H,wt=16): 12575 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6820(a,1),12574(a,1,3)),flip(a)]. given #10739 (H,wt=11): 12578 a(x,y,a(z,u,K(y,w))) = 1. [hyper(52,a,12575,a)]. given #10740 (H,wt=13): 12581 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8155(a,1),12578(a,1,3,3))]. given #10741 (H,wt=19): 12576 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11732(a,1),12574(a,1,3))]. given #10742 (H,wt=20): 12577 x * L(a(y,z,K(u,w)),u,v5) = x * a(y,z,K(u,w)). [hyper(57,a,12575,a)]. given #10743 (H,wt=21): 12579 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(12575(a,1),92(a,1,2))]. given #10744 (H,wt=22): 12584 x * L(a(y,z,K(u,w)),T(u,v5),v5) = x * a(y,z,K(u,w)). [para(11390(a,2),12577(a,1,2))]. given #10745 (H,wt=22): 12585 x * a(y,z,K(u,L(w,T(u,v5),v5))) = x * a(y,z,K(u,w)). [para(12576(a,2),12584(a,1,2))]. given #10746 (H,wt=24): 12580 (x * y) * a(z,u,K(y,w)) != v5 | x * (y * a(z,u,K(y,w))) = v5. [para(12575(a,1),261(a,1,2))]. given #10747 (H,wt=24): 12582 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(12576(a,2),92(a,1,2))]. given #10748 (H,wt=21): 12587 (x * y) * a(z,u,K(x,w)) = x * (y * a(z,u,K(x,w))). [para(9518(a,1),12582(a,1,2,3))]. given #10749 (H,wt=27): 12586 (x * y) * z != x * (y * a(u,w,K(v5,v6))) | a(u,w,K(v5,L(v6,y,x))) = z. [para(12582(a,1),42(a,1)),flip(a)]. given #10750 (H,wt=28): 12583 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * (T(x,y) * a(z,u,K(w,v5))). [para(12576(a,2),437(a,1,2))]. given #10751 (H,wt=43): 7102 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(899(a,2),6911(a,2,2))]. given #10752 (H,wt=41): 12589 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(4781(a,1),7102(a,1,1,1,2,1))]. given #10753 (H,wt=41): 12590 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(9762(a,1),12589(a,1,1,1))]. given #10754 (H,wt=41): 12591 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(11595(a,1),12590(a,1,1))]. given #10755 (H,wt=37): 12592 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(10236(a,1),12591(a,1,1,2))]. given #10756 (H,wt=35): 12593 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(4781(a,1),12592(a,1,3,1))]. given #10757 (H,wt=25): 12594 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(9483,a,12593,a),flip(a)]. given #10758 (H,wt=23): 12596 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4794(a,1),12594(a,1,2,1))]. given #10759 (H,wt=21): 12597 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4794(a,1),12596(a,1,2,2,1))]. given #10760 (H,wt=17): 12598 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10240(a,1),12597(a,1,2))]. given #10761 (H,wt=17): 12599 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(175,a,12598,a)]. given #10762 (H,wt=20): 12601 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(12599(a,1),258(a,1,2))]. given #10763 (H,wt=25): 12600 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(12598(a,1),394(a,1,1))]. given #10764 (H,wt=43): 9156 (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(9151(a,1),2737(a,1,1,1))]. given #10765 (H,wt=36): 12602 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(9151(a,1),9156(a,1,1,2,1,1)),flip(a)]. given #10766 (H,wt=32): 12603 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),12602(a,2,1,2,1))]. given #10767 (H,wt=25): 12605 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9151(a,1),12603(a,1,1)),flip(a)]. given #10768 (H,wt=25): 12606 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2096(a,1),12605(a,2,2))]. given #10769 (H,wt=25): 12607 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(62,a,10170,a,b,12606,a)]. given #10770 (H,wt=25): 12608 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(228,a,12607,a),flip(a)]. given #10771 (H,wt=43): 9923 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(621(a,1),9149(a,2,1,2,1))]. given #10772 (H,wt=40): 12609 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(3090(a,1),9923(a,2,1,2))]. given #10773 (H,wt=28): 12610 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(621(a,1),12609(a,1,1,2,2))]. given #10774 (H,wt=24): 12611 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(4883(a,1),12610(a,1,1,2,1,1)),flip(a)]. given #10775 (H,wt=43): 11899 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(11890(a,1),4767(a,1,1))]. given #10776 (H,wt=43): 12612 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(8032(a,1),11899(a,1,2,1,2))]. given #10777 (H,wt=41): 12613 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(8378(a,1),12612(a,1,2,1,2))]. given #10778 (H,wt=41): 12614 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(8066(a,1),12613(a,1,2,1,2))]. given #10779 (H,wt=39): 12615 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(8669(a,1),12614(a,1,2,1,2))]. given #10780 (H,wt=39): 12616 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(4735(a,2),12615(a,1,2,1))]. given #10781 (H,wt=39): 12617 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(6220,a,12616,a)]. given #10782 (H,wt=37): 12618 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(8374(a,1),12617(a,1,1)),flip(a)]. given #10783 (H,wt=35): 12619 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(1328(a,1),12618(a,2,2))]. given #10784 (H,wt=33): 12620 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(286,a,8101,a(flip),b,12619,a),flip(a)]. given #10785 (H,wt=44): 9960 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1124(a,1),9630(a,2,1))]. given #10786 (H,wt=34): 12621 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(9(a,1),9960(a,1,1,1)),flip(a)]. given #10787 (H,wt=32): 12622 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(286,a,7754,a(flip),b,12621,a),flip(a)]. given #10788 (H,wt=30): 12624 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(9406,a,12622,a(flip)),flip(a)]. given #10789 (H,wt=30): 12625 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7981,a,12624,a)]. given #10790 (H,wt=28): 12626 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(62,a,10122,a(flip),b,12625,a)]. given #10791 (H,wt=23): 12627 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9446,a,12626,a)]. given #10792 (H,wt=21): 12628 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8971,a,12627,a),flip(a)]. given #10793 (H,wt=21): 12630 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(62,a,7500,a(flip),b,12628,a)]. given #10794 (H,wt=21): 12631 K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). [hyper(8351,a,12630,a)]. given #10795 (H,wt=21): 12632 K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). [hyper(286,a,9089,a,b,12631,a),flip(a)]. given #10796 (H,wt=31): 12633 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(286,a,11649,a,b,12632,a)]. given #10797 (H,wt=26): 12634 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(20(a,2),12633(a,2,2,1))]. given #10798 (H,wt=20): 12635 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(62,a,9884,a(flip),b,12634,a),flip(a)]. given #10799 (H,wt=44): 10269 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(5859(a,1),10202(a,2,2))]. given #10800 (H,wt=44): 12637 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(5839(a,1),10269(a,1,1,1))]. given #10801 (H,wt=37): 12638 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(11575(a,1),12637(a,1,1))]. given #10802 (H,wt=35): 12639 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6980,a,12638,a)]. given #10803 (H,wt=35): 12641 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,12299,a(flip),b,12639,a)]. given #10804 (H,wt=31): 12642 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(12294,a,12641,a),flip(a)]. given #10805 (H,wt=31): 12643 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(286,a,12279,a(flip),b,12642,a),flip(a)]. given #10806 (H,wt=18): 12644 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(286,a,12273,a(flip),b,12643,a),flip(a)]. given #10807 (H,wt=16): 12645 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6980,a,12644,a)]. given #10808 (H,wt=24): 12647 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12645(a,1),4770(a,1,1))]. given #10809 (H,wt=19): 12648 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11576(a,1),12647(a,1,2))]. given #10810 (H,wt=17): 12649 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(118,a,12648,a)]. given #10811 (H,wt=17): 12651 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5851,a,12649,a)]. given #10812 (H,wt=19): 12654 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9878(a,1),12649(a,1,2))]. given #10813 (H,wt=21): 12653 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12649(a,1),7471(a,1,1)),flip(a)]. given #10814 (H,wt=21): 12655 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(12649(a,1),9121(a,2,2))]. given #10815 (H,wt=21): 12656 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12649(a,1),12282(a,2,2))]. given #10816 (H,wt=21): 12657 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12649(a,1),12299(a,1,1)),flip(a)]. given #10817 (H,wt=21): 12658 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12649(a,1),12608(a,1,1,2))]. given #10818 (H,wt=17): 12666 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12649(a,1),12658(a,1,2))]. given #10819 (H,wt=21): 12660 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5851,a,12653,a)]. given #10820 (H,wt=21): 12662 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12292,a,12657,a)]. given #10821 (H,wt=23): 12652 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(7383(a,1),12649(a,1,2))]. given #10822 (H,wt=23): 12661 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(62,a,8788,a,b,12655,a)]. given #10823 (H,wt=24): 12665 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12657(a,1),12292(a,1))]. given #10824 (H,wt=25): 12650 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8076(a,1),12648(a,1,2,1))]. given #10825 (H,wt=25): 12667 (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,12666,a)]. given #10826 (H,wt=25): 12670 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9096(a,1),12650(a,1,2,2))]. given #10827 (H,wt=23): 12671 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12296(a,1),12670(a,1,2))]. given #10828 (H,wt=26): 12668 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(62,a,10975,a(flip),b,12660,a)]. given #10829 (H,wt=26): 12672 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9315(a,1),12668(a,1,2))]. given #10830 (H,wt=24): 12673 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5938,a,12672,a)]. given #10831 (H,wt=24): 12674 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(286,a,10283,a,b,12673,a),flip(a)]. given #10832 (H,wt=33): 12659 (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(12651(a,1),11242(a,1,1)),flip(a)]. given #10833 (H,wt=27): 12675 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(286,a,12661,a(flip),b,12659,a),flip(a)]. given #10834 (H,wt=34): 12669 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(12662(a,1),12475(a,1,1,1))]. given #10835 (H,wt=27): 12676 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(351(a,1),12669(a,1,1)),flip(a)]. given #10836 (H,wt=27): 12677 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(286,a,9317,a(flip),b,12676,a),flip(a)]. given #10837 (H,wt=27): 12678 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8032(a,1),12677(a,1,2,1,1))]. given #10838 (H,wt=27): 12679 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9097(a,1),12678(a,1,2,1))]. given #10839 (H,wt=25): 12680 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4667(a,2),12679(a,1,2))]. given #10840 (H,wt=25): 12681 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,11048,a,b,12680,a)]. given #10841 (H,wt=23): 12682 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8062(a,1),12681(a,1,1))]. given #10842 (H,wt=23): 12683 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12257,a,12682,a)]. given #10843 (H,wt=19): 12684 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(62,a,12656,a(flip),b,12683,a),flip(a)]. given #10844 (H,wt=17): 12685 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(33,a,4659,a(flip),b,12684,a),flip(a)]. given #10845 (H,wt=21): 12686 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12665,a,12685,a)]. given #10846 (H,wt=19): 12687 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12686(a,1),12671(a,1,2))]. given #10847 (H,wt=17): 12688 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(118,a,12687,a),flip(a)]. given #10848 (H,wt=17): 12689 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(286,a,12685,a,b,12688,a),flip(a)]. given #10849 (H,wt=17): 12690 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8056(a,1),12688(a,1,1))]. given #10850 (H,wt=17): 12691 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8056(a,1),12689(a,1,1))]. given #10851 (H,wt=45): 7123 (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(7117(a,1),4473(a,1,2,1))]. given #10852 (H,wt=46): 5945 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(4611(a,1),3383(a,2,1,2,1))]. given #10853 (H,wt=44): 12692 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(5696(a,1),5945(a,1,1))]. given #10854 (H,wt=42): 12693 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(5696(a,1),12692(a,1,2,1,1)),flip(a)]. given #10855 (H,wt=40): 12694 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(4781(a,1),12693(a,2,2,1))]. given #10856 (H,wt=40): 12695 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(7383(a,1),12694(a,2,2))]. given #10857 (H,wt=38): 12696 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(4615(a,1),12695(a,1,1,1)),flip(a)]. given #10858 (H,wt=38): 12697 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(7383(a,1),12696(a,2,1,2))]. given #10859 (H,wt=29): 12698 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,12652,a(flip),b,12697,a),flip(a)]. given #10860 (H,wt=46): 11163 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11162(a,1),9182(a,1,1))]. given #10861 (H,wt=36): 12699 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4786(a,1),11163(a,1,2)),flip(a)]. given #10862 (H,wt=46): 11936 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(11934(a,1),4845(a,1,2,2)),flip(a)]. given #10863 (H,wt=35): 12700 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(173(a,1),11936(a,2,2))]. given #10864 (H,wt=31): 12701 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(286,a,4652,a,b,12700,a),flip(a)]. given #10865 (H,wt=31): 12703 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(286,a,8060,a,b,12701,a),flip(a)]. given #10866 (H,wt=26): 12704 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(12008(a,1),12703(a,1,2))]. given #10867 (H,wt=26): 12705 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(11765,a,12704,a)]. given #10868 (H,wt=26): 12706 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(8058,a,12705,a)]. given #10869 (H,wt=22): 12707 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(62,a,7825,a(flip),b,12706,a)]. given #10870 (H,wt=18): 12709 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4787(a,1),12707(a,1,2))]. given #10871 (H,wt=19): 12710 K(x,K(y * z,y * (z * u))) = K(x,K(u,y * z)). [hyper(8710,a,12709,a)]. given #10872 (H,wt=46): 12431 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(12430(a,1),12103(a,1,1,1))]. given #10873 (H,wt=44): 12711 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(6143(a,1),12431(a,1,1))]. given #10874 (H,wt=36): 12712 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),12711(a,1,2,2,1,2))]. given #10875 (H,wt=34): 12714 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9467(a,1),12712(a,1,2))]. given #10876 (H,wt=46): 12588 K(x,(T(y,z * a(u,w,K(v5,v6))) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). [para(12582(a,2),12122(a,1,2))]. given #10877 (H,wt=47): 2205 (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(1776(a,2),2202(a,1,2))]. given #10878 (H,wt=29): 12715 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(12(a,1),2205(a,1,2,1))]. given #10879 (H,wt=27): 12716 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(70(a,1),12715(a,1,2))]. given #10880 (H,wt=23): 12718 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(308,a,12716,a),flip(a)]. given #10881 (H,wt=21): 12721 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3350(a,1),12718(a,1,1))]. given #10882 (H,wt=21): 12722 L(1 / x,y,z) \ (1 / x) = 1 / (x * L(x \ 1,y,z)). [hyper(62,a,8741,a,b,12721,a)]. given #10883 (H,wt=21): 12723 L(x \ 1,y,z) \ (x \ 1) = 1 / (x * L(x \ 1,y,z)). [hyper(62,a,6168,a,b,12722,a)]. given #10884 (H,wt=21): 12724 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(62,a,10548,a(flip),b,12723,a),flip(a)]. given #10885 (H,wt=15): 12726 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1821(a,1),12724(a,1,2))]. given #10886 (H,wt=24): 12727 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12726(a,1),4658(a,2,1)),flip(a)]. given #10887 (H,wt=25): 12725 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12723(a,1),8742(a,1,1))]. given #10888 (H,wt=23): 12730 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12725(a,1),11065(a,1,2))]. given #10889 (H,wt=19): 12731 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(62,a,5901,a(flip),b,12730,a)]. given #10890 (H,wt=19): 12732 (x * ((y * x) \ y)) \ 1 = (1 / ((y * x) \ y)) / x. [hyper(286,a,7305,a,b,12731,a)]. given #10891 (H,wt=19): 12734 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(286,a,6675,a,b,12732,a),flip(a)]. given #10892 (H,wt=19): 12735 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(175,a,12732,a(flip))]. given #10893 (H,wt=22): 12733 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(12731(a,2),4898(a,1))]. given #10894 (H,wt=25): 12736 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12735(a,1),4502(a,1,2,1))]. given #10895 (H,wt=25): 12737 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(286,a,7305,a,b,12736,a),flip(a)]. given #10896 (H,wt=25): 12738 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12734(a,1),12737(a,1,1))]. given #10897 (H,wt=25): 12739 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(62,a,10279,a,b,12738,a)]. given #10898 (H,wt=23): 12740 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6816(a,1),12739(a,1,1))]. given #10899 (H,wt=21): 12741 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(62,a,6169,a(flip),b,12740,a),flip(a)]. given #10900 (H,wt=19): 12742 T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). [hyper(62,a,10023,a(flip),b,12741,a),flip(a)]. given #10901 (H,wt=19): 12743 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(175,a,12742,a(flip))]. given #10902 (H,wt=19): 12744 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(12743(a,1),2122(a,1,1)),flip(a)]. given #10903 (H,wt=27): 12745 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12744(a,2),9601(a,1,2,1))]. given #10904 (H,wt=27): 12746 K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [hyper(9655,a,12745,a)]. given #10905 (H,wt=28): 12728 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(286,a,8077,a,b,12727,a),flip(a)]. given #10906 (H,wt=31): 12729 (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(12727(a,2),8109(a,1))]. given #10907 (H,wt=47): 7473 K(1 / x,x) \ (R(1 / y,y,K(1 / x,x)) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). [para(5826(a,1),6288(a,1,2,2,1,2))]. given #10908 (H,wt=40): 12747 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * ((x * (1 / (1 / z))) / x)). [para(4352(a,1),7473(a,1,2,1)),flip(a)]. given #10909 (H,wt=40): 12748 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * (1 / (1 / ((x * z) / x)))). [para(2204(a,1),12747(a,2,2,2))]. given #10910 (H,wt=48): 9210 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(6765(a,1),9191(a,2,1))]. given #10911 (H,wt=48): 11029 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(193(a,2),10931(a,1,2,2,2))]. given #10912 (H,wt=44): 12750 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(6939(a,1),11029(a,1,2,1))]. given #10913 (H,wt=37): 12751 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3736(a,1),12750(a,1,2,2)),flip(a)]. given #10914 (H,wt=33): 12752 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9422(a,1),12751(a,2,2))]. given #10915 (H,wt=43): 12753 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),12752(a,2,2,1))]. given #10916 (H,wt=42): 12754 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(12442(a,1),12753(a,1,1,2))]. given #10917 (H,wt=35): 12755 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8637(a,1),12754(a,1,1))]. given #10918 (H,wt=34): 12757 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(12442(a,1),12755(a,1,2,1))]. given #10919 (H,wt=33): 12758 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(4913(a,1),12757(a,1,2,2))]. given #10920 (H,wt=31): 12759 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8025(a,1),12758(a,1,2))]. given #10921 (H,wt=19): 12760 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(9532(a,1),12759(a,1,2)),flip(a)]. given #10922 (H,wt=19): 12761 T(K(x,y) * K(y,z),z) = (y * z) / (z * T(y,x)). [hyper(286,a,7631,a,b,12760,a)]. given #10923 (H,wt=49): 6559 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(4033(a,1),6333(a,1,2))]. given #10924 (H,wt=37): 12763 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(9283(a,1),6559(a,1,1)),flip(a)]. given #10925 (H,wt=37): 12764 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(286,a,7628,a,b,12763,a),flip(a)]. given #10926 (H,wt=35): 12766 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(4675(a,1),12764(a,2,1))]. given #10927 (H,wt=49): 6560 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(4033(a,1),6334(a,1,2))]. given #10928 (H,wt=37): 12767 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(9283(a,1),6560(a,1,1)),flip(a)]. given #10929 (H,wt=37): 12768 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(286,a,7628,a,b,12767,a),flip(a)]. given #10930 (H,wt=35): 12770 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(4675(a,1),12768(a,2,1))]. given #10931 (H,wt=33): 12771 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(286,a,10324,a(flip),b,12770,a),flip(a)]. given #10932 (H,wt=33): 12772 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(3993(a,2),12771(a,1,2))]. given #10933 (H,wt=27): 12773 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9279(a,1),12772(a,1,2,1))]. given #10934 (H,wt=27): 12774 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3989(a,2),12773(a,1,2,1))]. given #10935 (H,wt=49): 6574 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(6567(a,1),448(a,1,1)),flip(a)]. given #10936 (H,wt=49): 12266 (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(12261(a,2),4766(a,2,2)),flip(a)]. given #10937 (H,wt=49): 12776 (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(10909(a,1),12266(a,2,1,1))]. given #10938 (H,wt=45): 12777 (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(286,a,10914,a(flip),b,12776,a),flip(a)]. given #10939 (H,wt=45): 12778 (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(10909(a,1),12777(a,1,2,1,1))]. given #10940 (H,wt=37): 12779 (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(8999(a,1),12778(a,1,2,1))]. given #10941 (H,wt=37): 12780 (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(8077(a,1),12779(a,1,2,1))]. given #10942 (H,wt=37): 12782 (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(10909(a,1),12780(a,1,2,2,1))]. given #10943 (H,wt=29): 12783 (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(8999(a,1),12782(a,1,2,2))]. given #10944 (H,wt=27): 12785 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12295(a,1),12783(a,1,2))]. given #10945 (H,wt=27): 12786 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(11016,a,12785,a)]. given #10946 (H,wt=25): 12787 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(62,a,12300,a,b,12786,a)]. given #10947 (H,wt=23): 12788 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12278,a(flip),b,12787,a)]. given #10948 (H,wt=50): 11315 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(11314(a,1),1993(a,1,1)),flip(a)]. given #10949 (H,wt=49): 12789 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(11314(a,1),11315(a,2,2,1,1))]. given #10950 (H,wt=47): 12790 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(286,a,1630,a(flip),b,12789,a),flip(a)]. given #10951 (H,wt=45): 12791 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(1877(a,1),12790(a,2,2))]. given #10952 (H,wt=43): 12792 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(889(a,1),12791(a,2,2,1))]. given #10953 (H,wt=37): 12793 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(1042(a,1),12792(a,2,2,1,2))]. given #10954 (H,wt=35): 12794 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(1630(a,1),12793(a,1,1))]. given #10955 (H,wt=51): 10131 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(4600(a,1),9360(a,1,2)),flip(a)]. given #10956 (H,wt=41): 12795 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(286,a,9902,a(flip),b,10131,a),flip(a)]. given #10957 (H,wt=41): 12796 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(286,a,8060,a(flip),b,12795,a),flip(a)]. given #10958 (H,wt=52): 10078 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(2610(a,1),10012(a,2,1,1))]. given #10959 (H,wt=52): 11577 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(11575(a,1),465(a,1,1,1)),flip(a)]. given #10960 (H,wt=22): 12798 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(286,a,9,a(flip),b,11577,a),flip(a)]. given #10961 (H,wt=17): 12800 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11575(a,1),12798(a,1,3))]. given #10962 (H,wt=13): 12802 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12649(a,1),12800(a,1,3))]. given #10963 (H,wt=25): 12803 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1145,a,12802,a),flip(a)]. given #10964 (H,wt=27): 12805 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,12675,a(flip),b,12803,a),flip(a)]. given #10965 (H,wt=19): 12806 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5846(a,1),12805(a,1,2))]. given #10966 (H,wt=19): 12807 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8149(a,1),12806(a,1,1,1)),flip(a)]. given #10967 (H,wt=17): 12808 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(217,a,12807,a),flip(a)]. given #10968 (H,wt=28): 12804 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(12802(a,1),261(a,1,2))]. given #10969 (H,wt=52): 12474 ((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(12473(a,1),6331(a,1,1,2))]. given #10970 (H,wt=52): 12797 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ z,z \ (z / (((x \ z) \ 1) \ 1))),u) = K(((z \ (z / (x \ z))) * (x \ z)) \ (z / (((x \ z) \ 1) \ 1)),u). [para(6280(a,1),10078(a,1,1,1,2))]. given #10971 (H,wt=44): 12810 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(4366(a,1),12797(a,1,1,1))]. given #10972 (H,wt=42): 12812 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),12810(a,1,1,1)),flip(a)]. given #10973 (H,wt=42): 12813 K(R(x,x \ y,y \ (z * (((z \ x) \ 1) \ 1))),u) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),u). [para(6280(a,1),12812(a,2,1,3,2)),flip(a)]. given #10974 (H,wt=38): 12814 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),12813(a,1,1,3)),flip(a)]. given #10975 (H,wt=34): 12816 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4344(a,1),12814(a,2,1))]. given #10976 (H,wt=30): 12817 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(73(a,1),12816(a,1,1,1,1,2))]. given #10977 (H,wt=30): 12818 K(((x \ y) * (y \ x)) \ (z * (((z \ y) \ 1) \ 1)),u) = K(R(y,y \ x,x \ y),u). [para(6280(a,1),12817(a,1,1,2))]. given #10978 (H,wt=22): 12819 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(62,a,6206,a(flip),b,12818,a)]. given #10979 (H,wt=32): 12821 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),12819(a,1,1,1,1)),flip(a)]. given #10980 (H,wt=30): 12822 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(7311(a,1),12821(a,2,1,1))]. given #10981 (H,wt=27): 12823 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(286,a,7753,a(flip),b,12822,a),flip(a)]. given #10982 (H,wt=25): 12824 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),12823(a,1,1,3))]. given #10983 (H,wt=25): 12825 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7777(a,1),12824(a,2,1))]. given #10984 (H,wt=21): 12826 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(62,a,7237,a(flip),b,12825,a)]. given #10985 (H,wt=38): 12827 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(12826(a,1),9438(a,2,2))]. given #10986 (H,wt=35): 12828 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(286,a,92,a(flip),b,12827,a),flip(a)]. given #10987 (H,wt=33): 12829 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [hyper(286,a,7738,a(flip),b,12828,a),flip(a)]. given #10988 (H,wt=52): 12809 ((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(11732(a,1),12474(a,1,2,2))]. given #10989 (H,wt=44): 12830 (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,11108,a(flip),b,12809,a)]. given #10990 (H,wt=40): 12831 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(10344(a,1),12830(a,1,2,2)),flip(a)]. given #10991 (H,wt=40): 12832 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(8077(a,1),12831(a,2,2))]. given #10992 (H,wt=37): 12834 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(12709(a,1),12832(a,2,2))]. given #10993 (H,wt=37): 12835 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(8056(a,1),12834(a,2,2))]. given #10994 (H,wt=37): 12836 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(11732(a,1),12835(a,1,1,2))]. given #10995 (H,wt=37): 12837 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,11064,a,b,12836,a)]. given #10996 (H,wt=30): 12838 (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(12473(a,1),12837(a,1,1)),flip(a)]. given #10997 (H,wt=37): 12839 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(12838(a,1),513(a,1))]. given #10998 (H,wt=53): 12245 (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(12237(a,1),8544(a,1,2))]. given #10999 (H,wt=53): 12840 (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(10909(a,1),12245(a,1,2,1,1))]. given #11000 (H,wt=49): 12841 (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(11557(a,1),12840(a,1,2,1))]. given #11001 (H,wt=45): 12842 (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(8118(a,1),12841(a,1,2,1,1))]. given #11002 (H,wt=45): 12843 (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(12229(a,1),12842(a,1,2,1))]. given #11003 (H,wt=29): 12844 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12254(a,1),12843(a,1,2)),flip(a)]. given #11004 (H,wt=27): 12845 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(286,a,12277,a(flip),b,12844,a),flip(a)]. given #11005 (H,wt=27): 12846 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(10909(a,1),12845(a,1,2))]. given #11006 (H,wt=23): 12847 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12788,a(flip),b,12846,a)]. given #11007 (H,wt=21): 12848 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(62,a,10434,a(flip),b,12847,a)]. given #11008 (H,wt=21): 12849 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(62,a,9297,a(flip),b,12848,a)]. given #11009 (H,wt=25): 12850 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12849(a,1),10429(a,1,1)),flip(a)]. given #11010 (H,wt=32): 12851 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,11272,a(flip),b,12850,a),flip(a)]. given #11011 (H,wt=25): 12852 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10790(a,1),12851(a,1,1)),flip(a)]. given #11012 (H,wt=30): 12854 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12852(a,1),12541(a,2,1))]. given #11013 (H,wt=28): 12855 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12532(a,1),12854(a,2,1,1))]. given #11014 (H,wt=26): 12857 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11216(a,1),12855(a,1,1,1))]. given #11015 (H,wt=26): 12858 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11056(a,1),12857(a,1,1))]. given #11016 (H,wt=20): 12860 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10053(a,1),12858(a,1,1)),flip(a)]. given #11017 (H,wt=27): 12862 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(12860(a,2),513(a,1))]. given #11018 (H,wt=28): 12861 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(115,a,12860,a(flip),b,656,a)]. given #11019 (H,wt=19): 12863 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11367,a,12861,a),flip(a)]. given #11020 (H,wt=17): 12864 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10948(a,1),12863(a,2,2))]. given #11021 (H,wt=11): 12866 K(x,a(y,z,y)) != u | 1 = u. [para(12864(a,1),419(a,1))]. given #11022 (H,wt=12): 12865 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(286,a,10955,a(flip),b,12864,a),flip(a)]. given #11023 (H,wt=12): 12869 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(51,a,12865,a)]. given #11024 (H,wt=31): 12870 (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(12869(a,1),11423(a,1,2))]. given #11025 (H,wt=23): 12871 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(11009(a,1),12870(a,1,1,2,1))]. given #11026 (H,wt=16): 12872 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(474,a,12871,a),flip(a)]. given #11027 (H,wt=12): 12873 R(a(x,y,x),z,u) = a(x,y,x). [hyper(33,a,10939,a(flip),b,12872,a),flip(a)]. given #11028 (H,wt=9): 12879 L(x,y,a(z,u,z)) = x. [para(12873(a,1),12869(a,1,3))]. given #11029 (H,wt=12): 12875 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(62,a,12530,a(flip),b,12873,a)]. given #11030 (H,wt=12): 12883 L(x,y,a(z,u,z)) != w | x = w. [para(12879(a,1),49(a,2))]. given #11031 (H,wt=15): 12881 (a(x,y,x) \ z) \ 1 = z \ a(x,y,x). [hyper(536,a,12879,a),flip(a)]. given #11032 (H,wt=15): 12891 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(286,a,11706,a,b,12875,a),flip(a)]. given #11033 (H,wt=16): 12876 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(62,a,11058,a(flip),b,12873,a),flip(a)]. given #11034 (H,wt=17): 12877 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12873(a,1),104(a,1,1)),flip(a)]. given #11035 (H,wt=17): 12880 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(537,a,12879,a),flip(a)]. given #11036 (H,wt=17): 12882 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(62,a,268,a(flip),b,12879,a)]. given #11037 (H,wt=17): 12884 a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u. [para(12879(a,1),425(a,1,2)),flip(a)]. given #11038 (H,wt=17): 12885 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12879(a,1),495(a,1,2))]. given #11039 (H,wt=17): 12888 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12879(a,1),10953(a,1,2))]. given #11040 (H,wt=17): 12894 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(12368,a,12891,a),flip(a)]. given #11041 (H,wt=17): 12901 (a(x,y,x) * z) / u = (z / u) * a(x,y,x). [hyper(286,a,10939,a(flip),b,12885,a),flip(a)]. given #11042 (H,wt=17): 12903 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(286,a,12005,a(flip),b,12888,a),flip(a)]. given #11043 (H,wt=19): 12892 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12875(a,1),12537(a,1,2)),flip(a)]. given #11044 (H,wt=14): 12907 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(286,a,9211,a(flip),b,12892,a),flip(a)]. given #11045 (H,wt=19): 12905 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(22(a,1),12894(a,1,2))]. given #11046 (H,wt=20): 12893 x \ (a(y,z,y) * u) != w | (a(y,z,y) \ x) \ u = w. [para(445(a,1),12883(a,1))]. given #11047 (H,wt=20): 12900 a(x,y,x) * ((a(x,y,x) \ z) * u) != w | z * u = w. [para(12877(a,1),512(a,1))]. given #11048 (H,wt=20): 12906 (a(x,y,x) * z) / u != w | a(x,y,x) * (z / u) = w. [para(12901(a,2),10964(a,1))]. given #11049 (H,wt=20): 12909 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10481,a,12907,a),flip(a)]. given #11050 (H,wt=16): 12911 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(62,a,11360,a(flip),b,12909,a)]. given #11051 (H,wt=14): 12912 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(62,a,12568,a(flip),b,12911,a)]. given #11052 (H,wt=17): 12914 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(62,a,12635,a(flip),b,12912,a)]. given #11053 (H,wt=24): 12874 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(62,a,467,a,b,12873,a)]. given #11054 (H,wt=24): 12902 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4664,a,12888,a)]. given #11055 (H,wt=25): 12896 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(6090(a,1),12876(a,1,2)),flip(a)]. given #11056 (H,wt=25): 12910 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(62,a,11236,a,b,12905,a)]. given #11057 (H,wt=23): 12919 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(62,a,11570,a(flip),b,12910,a),flip(a)]. given #11058 (H,wt=25): 12916 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,12317,a(flip),b,12914,a),flip(a)]. given #11059 (H,wt=21): 12922 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(62,a,12398,a(flip),b,12916,a)]. given #11060 (H,wt=13): 12923 R(K(x,y),z,u) = K(R(x,z,u),y). [para(7492(a,1),12922(a,1,1))]. given #11061 (H,wt=15): 12924 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12923(a,2),4781(a,1,1))]. given #11062 (H,wt=13): 12927 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(7396,a,12924,a)]. given #11063 (H,wt=13): 12930 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(62,a,12923,a(flip),b,12927,a)]. given #11064 (H,wt=15): 12929 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(286,a,8,a,b,12927,a)]. given #11065 (H,wt=16): 12928 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12924(a,1),7396(a,1))]. given #11066 (H,wt=16): 12939 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12929(a,1),123(a,1)),flip(b)]. given #11067 (H,wt=13): 12942 K(x,y) != z | K(x,R(y,x,u)) = z. [para(3867(a,1),12939(a,1))]. given #11068 (H,wt=16): 12941 K(R(x,y,z),u) != w | R(K(x,u),y,z) = w. [para(12930(a,2),12928(a,1))]. given #11069 (H,wt=13): 12945 K(x,y) != z | R(K(x,y),y,u) = z. [para(11341(a,1),12941(a,1))]. given #11070 (H,wt=16): 12944 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12923(a,1),12939(a,1))]. given #11071 (H,wt=17): 12935 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12927(a,1),12649(a,1,2))]. given #11072 (H,wt=15): 12946 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(62,a,12654,a(flip),b,12935,a)]. given #11073 (H,wt=19): 12947 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12946(a,2),12689(a,2,1)),flip(a)]. given #11074 (H,wt=19): 12948 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(62,a,12691,a,b,12947,a)]. given #11075 (H,wt=20): 12926 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12923(a,2),8097(a,1))]. given #11076 (H,wt=20): 12943 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(8056(a,1),12939(a,1,1))]. given #11077 (H,wt=20): 12949 K(x,K(y,R(z,u,w))) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(9097(a,1),12926(a,1))]. given #11078 (H,wt=20): 12950 K(x,K(y,R(z,u,w))) != v5 | K(x,R(K(z,y),u,w)) = v5. [para(9096(a,1),12943(a,1))]. given #11079 (H,wt=22): 12937 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7434,a,12930,a),flip(a)]. given #11080 (H,wt=22): 12951 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12944,a,12937,a)]. given #11081 (H,wt=24): 12936 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12927(a,1),12674(a,2,1,2))]. given #11082 (H,wt=22): 12952 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4659(a,2),12936(a,2,1))]. given #11083 (H,wt=24): 12940 K(x,K(y,R(z,u,w) \ 1)) != v5 | R(K(x,K(y,z \ 1)),u,w) = v5. [para(7383(a,1),12928(a,1,2))]. given #11084 (H,wt=26): 12898 (a(x,y,x) * (z * u)) \ (u * (a(x,y,x) * z)) = K(u,a(x,y,x) * z). [para(12877(a,1),16(a,2,1)),flip(a)]. given #11085 (H,wt=26): 12953 (x * y) \ (a(z,u,z) \ (y * (a(z,u,z) * x))) = K(y,a(z,u,z) * x). [hyper(62,a,12882,a(flip),b,12898,a)]. given #11086 (H,wt=27): 12917 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10945(a,1),12874(a,1,1,1))]. given #11087 (H,wt=24): 12954 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(104(a,1),12917(a,1,1))]. given #11088 (H,wt=24): 12955 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12903(a,1),12954(a,1,1,1))]. given #11089 (H,wt=26): 12956 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(10(a,1),12955(a,1,2,1))]. given #11090 (H,wt=22): 12957 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12006(a,1),12956(a,1,1,1)),flip(a)]. given #11091 (H,wt=17): 12958 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(286,a,20,a,b,12957,a),flip(a)]. given #11092 (H,wt=17): 12959 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(9(a,1),12958(a,1,2,2)),flip(a)]. given #11093 (H,wt=12): 12960 a(x,R(y,z,u),x) = a(x,y,x). [hyper(62,a,12873,a(flip),b,12959,a),flip(a)]. given #11094 (H,wt=15): 12962 a(x,y / (z * y),x) = a(x,z \ 1,x). [para(4900(a,1),12960(a,1,2))]. given #11095 (H,wt=18): 12964 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12960(a,1),9216(a,1,1)),flip(a)]. given #11096 (H,wt=16): 12966 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(286,a,9216,a(flip),b,12964,a),flip(a)]. given #11097 (H,wt=20): 12963 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12960(a,1),9199(a,1,1))]. given #11098 (H,wt=18): 12968 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10993,a,12963,a)]. given #11099 (H,wt=24): 12967 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12966(a,1),12774(a,1,2))]. given #11100 (H,wt=19): 12970 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(730(a,1),12967(a,1,2)),flip(a)]. given #11101 (H,wt=27): 12969 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12968(a,2),3922(a,1,1))]. given #11102 (H,wt=23): 12973 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(62,a,10989,a(flip),b,12969,a)]. given #11103 (H,wt=28): 12920 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(286,a,12699,a,b,12919,a)]. given #11104 (H,wt=23): 12975 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(22(a,2),12920(a,1,2))]. given #11105 (H,wt=18): 12976 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10027,a,12975,a)]. given #11106 (H,wt=27): 12977 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12976(a,1),12545(a,1,2))]. given #11107 (H,wt=27): 12978 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12891(a,1),12977(a,1,2))]. given #11108 (H,wt=22): 12980 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(11688,a,12978,a(flip)),flip(a)]. given #11109 (H,wt=20): 12981 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(10972(a,1),12980(a,2,2))]. given #11110 (H,wt=17): 12983 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(334(a,1),12981(a,1,2,3))]. given #11111 (H,wt=9): 12985 R(x,y,a(z,u,z)) = x. [hyper(7165,a,12983,a)]. given #11112 (H,wt=12): 12984 L(a(x,y,x),z,u) = a(x,y,x). [hyper(7575,a,12983,a)]. given #11113 (H,wt=12): 12990 R(x,y,a(z,u,z)) != w | x = w. [para(12985(a,1),50(a,2))]. given #11114 (H,wt=13): 12996 a(x,y * K(z,y),x) = a(x,y,x). [hyper(62,a,12876,a,b,12984,a)]. given #11115 (H,wt=11): 12999 a(x,T(y,z),x) = a(x,y,x). [para(4670(a,1),12996(a,1,2)),flip(a)]. given #11116 (H,wt=13): 13000 a(x,y \ z,x) = a(x,z / y,x). [para(4672(a,1),12996(a,1,2)),flip(a)]. given #11117 (H,wt=13): 13001 x \ R(x,T(y,z),x) = a(x,y,x). [hyper(11011,a,12999,a)]. given #11118 (H,wt=11): 13006 R(x,T(y,z),x) = R(x,y,x). [hyper(37,a,9175,a,b,13001,a),flip(a)]. given #11119 (H,wt=14): 13008 a(x,y,x) != z | a(x,T(y,u),x) = z. [para(13001(a,1),9189(a,1))]. given #11120 (H,wt=15): 12987 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(521,a,12983,a),flip(a)]. given #11121 (H,wt=15): 12992 L(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(286,a,12984,a,b,12984,a)]. given #11122 (H,wt=15): 12997 a(x,y,x) != z | L(a(x,y,x),u,w) = z. [para(12984(a,1),4260(a,1))]. given #11123 (H,wt=15): 13005 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(286,a,12999,a,b,13000,a)]. given #11124 (H,wt=15): 13015 a(x,y,x) * (z \ 1) = z \ a(x,y,x). [hyper(10964,a,12987,a)]. given #11125 (H,wt=15): 13029 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12992(a,1),335(a,1)),flip(b)]. given #11126 (H,wt=17): 12986 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(572,a,12983,a)]. given #11127 (H,wt=17): 13033 x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). [para(10939(a,2),12986(a,1,2))]. given #11128 (H,wt=17): 13035 (a(x,y,x) \ z) \ u = (z \ u) * a(x,y,x). [hyper(12893,a,13033,a)]. given #11129 (H,wt=18): 12994 L(a(x,y,x),z,u) = (w * x) \ (w * R(x,y,x)). [hyper(286,a,10985,a,b,12984,a),flip(a)]. given #11130 (H,wt=19): 13016 a(x,y,x) * ((z \ 1) * u) = (z \ a(x,y,x)) * u. [para(12987(a,1),12888(a,1,1)),flip(a)]. given #11131 (H,wt=19): 13031 ((x \ 1) / y) * a(z,u,z) = (x \ a(z,u,z)) / y. [para(13015(a,1),12901(a,1,1)),flip(a)]. given #11132 (H,wt=19): 13032 L(a(x,y,x),z,u) != w | a(x,y * K(v5,y),x) = w. [para(12996(a,1),13029(a,1,1))]. given #11133 (H,wt=19): 13037 a(x,y,x) \ ((z \ a(x,y,x)) * u) = (z \ 1) * u. [hyper(121,a,13016,a)]. given #11134 (H,wt=20): 13030 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(612(a,1),13005(a,1,2))]. given #11135 (H,wt=21): 12989 (x * (y * a(z,u,z))) * w = a(z,u,z) * ((x * y) * w). [para(12983(a,1),12888(a,1,1))]. given #11136 (H,wt=21): 13034 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12983(a,1),12986(a,1,2))]. given #11137 (H,wt=21): 13040 (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). [para(10939(a,2),12989(a,1,1,2))]. given #11138 (H,wt=17): 13042 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(9560,a,13040,a)]. given #11139 (H,wt=17): 13045 a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. [hyper(286,a,145,a(flip),b,13042,a),flip(a)]. given #11140 (H,wt=17): 13046 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(115,a,145,a(flip),b,13042,a)]. given #11141 (H,wt=17): 13047 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(62,a,12888,a,b,13042,a)]. given #11142 (H,wt=9): 13054 R(x,a(y,z,y),u) = x. [hyper(4528,a,13047,a)]. given #11143 (H,wt=9): 13055 L(x,a(y,z,y),u) = x. [hyper(435,a,13047,a)]. given #11144 (H,wt=17): 13049 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(12900,a,13045,a),flip(a)]. given #11145 (H,wt=17): 13057 a(x,y,x) \ (z / u) = z / (a(x,y,x) * u). [hyper(10967,a,13054,a),flip(a)]. given #11146 (H,wt=15): 13067 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9185(a,1),13057(a,2,2))]. given #11147 (H,wt=17): 13059 x / (a(y,z,y) \ u) = (x / u) * a(y,z,y). [para(13055(a,1),452(a,1,2))]. given #11148 (H,wt=17): 13068 a(x,y,x) \ (z / u) = z / (u * a(x,y,x)). [para(10939(a,1),13057(a,2,2))]. given #11149 (H,wt=19): 13051 (x * (a(y,z,y) \ u)) \ 1 = (x * u) \ a(y,z,y). [para(13046(a,1),12881(a,1,1))]. given #11150 (H,wt=19): 13058 (x / L(y,z,y)) * (a(y,z,y) \ u) = (x / y) * u. [para(13054(a,1),10043(a,1,1)),flip(a)]. given #11151 (H,wt=19): 13069 a(x,y,x) \ (z * K(x,z)) = (x * z) / R(x,y,x). [hyper(62,a,4811,a(flip),b,13067,a)]. given #11152 (H,wt=21): 13043 (x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w). [hyper(115,a,69,a(flip),b,13040,a)]. given #11153 (H,wt=21): 13052 (x * (a(y,z,y) \ u)) \ w = (x * u) \ (a(y,z,y) * w). [para(13046(a,1),12880(a,1,1))]. given #11154 (H,wt=22): 13050 K(x,y) * (z * (a(x,y,x) \ u)) = K(x,x * y) * (z * u). [para(13045(a,1),10919(a,1,2)),flip(a)]. given #11155 (H,wt=23): 13038 (((x \ a(y,z,y)) * u) \ w) * a(y,z,y) = ((x \ 1) * u) \ w. [para(13037(a,1),13035(a,1,1)),flip(a)]. given #11156 (H,wt=23): 13070 (x / ((y \ a(z,u,z)) * w)) * a(z,u,z) = x / ((y \ 1) * w). [para(13037(a,1),13059(a,1,2)),flip(a)]. given #11157 (H,wt=24): 13036 L(a(x \ y,z,x \ y),u,w) = y \ (x * R(x \ y,z,x \ y)). [hyper(286,a,147,a(flip),b,12994,a),flip(a)]. given #11158 (H,wt=24): 13041 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(18(a,2),13034(a,2,1))]. given #11159 (H,wt=24): 13065 (a(x,y,x) \ z) * u != w * v5 | w \ (z * (a(x,y,x) \ u)) = v5. [para(13049(a,2),513(a,1))]. given #11160 (H,wt=24): 13074 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(12983(a,1),13041(a,1,2,2))]. given #11161 (H,wt=19): 13075 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(439,a,13074,a)]. given #11162 (H,wt=19): 13076 L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w). [hyper(4556,a,13075,a),flip(a)]. given #11163 (H,wt=23): 13077 L(a(x,y,x) \ K(z,u),w,v5) = a(x,y,x) \ K(z,L(u,w,v5)). [para(11732(a,1),13076(a,2,2))]. given #11164 (H,wt=25): 13072 (x * (y * (a(z,u,z) * w))) \ v5 = (x * (y * w)) \ (a(z,u,z) \ v5). [para(13042(a,1),13043(a,1,1,2))]. given #11165 (H,wt=26): 13039 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(13030(a,2),10983(a,1,2,1)),flip(a)]. given #11166 (H,wt=23): 13078 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12960(a,1),13039(a,2,2,1))]. given #11167 (H,wt=20): 13079 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(13078(a,2),10984(a,1))]. given #11168 (H,wt=26): 13053 (x * y) \ (y * (a(z,u,z) \ (a(z,u,z) * x))) = K(y,a(z,u,z) * x). [para(13046(a,1),12953(a,1,2))]. given #11169 (H,wt=16): 13081 K(x,a(y,z,y) * u) = (u * x) \ (x * u). [para(9(a,1),13053(a,1,2,2)),flip(a)]. given #11170 (H,wt=12): 13082 K(x,a(y,z,y) * u) = K(x,u). [hyper(286,a,16,a,b,13081,a),flip(a)]. given #11171 (H,wt=12): 13083 K(x,a(y,z,y) \ u) = K(x,u). [para(10(a,1),13082(a,1,2)),flip(a)]. given #11172 (H,wt=12): 13087 K(x,y * a(z,u,z)) = K(x,y). [para(10939(a,1),13082(a,1,2))]. given #11173 (H,wt=13): 13093 K(x,T(y,z) / z) = K(x,z \ y). [para(9202(a,1),13087(a,1,2))]. given #11174 (H,wt=13): 13096 K(x,y / T(z,y)) = K(x,z \ y). [para(3926(a,1),13093(a,1,2))]. given #11175 (H,wt=14): 13084 T(x,a(y,z,y) * u) = x * K(x,u). [para(13082(a,1),4659(a,2,2))]. given #11176 (H,wt=12): 13097 T(x,a(y,z,y) * u) = T(x,u). [hyper(4730,a,13084,a),flip(a)]. given #11177 (H,wt=12): 13099 T(x,y * a(z,u,z)) = T(x,y). [para(10939(a,1),13097(a,1,2))]. given #11178 (H,wt=13): 13102 T(x,T(y,z) / z) = T(x,z \ y). [para(9202(a,1),13099(a,1,2))]. given #11179 (H,wt=13): 13105 T(x,y / T(z,y)) = T(x,z \ y). [para(3926(a,1),13102(a,1,2))]. given #11180 (H,wt=14): 13085 K(x,(y \ R(y,z,y)) * u) = K(x,u). [para(9173(a,1),13082(a,1,2,1))]. given #11181 (H,wt=14): 13086 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(10438(a,1),13082(a,1,2)),flip(a)]. given #11182 (H,wt=14): 13088 K(x,y * R(z,u,z)) = K(x,y * z). [para(10986(a,1),13082(a,1,2))]. given #11183 (H,wt=14): 13092 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(286,a,4614,a(flip),b,13087,a),flip(a)]. given #11184 (H,wt=14): 13098 T(x,(y \ R(y,z,y)) * u) = T(x,u). [para(9173(a,1),13097(a,1,2,1))]. given #11185 (H,wt=14): 13103 T(x,y * L(z,u,z)) = T(x,y * z). [para(10051(a,1),13099(a,1,2)),flip(a)]. given #11186 (H,wt=15): 13101 T(x,(y * z) * y) = T(x,y * (z * y)). [para(81(a,1),13099(a,1,2))]. given #11187 (H,wt=15): 13114 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(13092(a,2),4728(a,1))]. given #11188 (H,wt=16): 13089 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(13045(a,1),13082(a,1,2)),flip(a)]. given #11189 (H,wt=16): 13091 K(x,y / (z * a(u,w,u))) = K(x,y / z). [para(13068(a,1),13083(a,1,2))]. given #11190 (H,wt=16): 13095 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(13033(a,2),13087(a,1,2))]. given #11191 (H,wt=16): 13104 T(x,y \ (a(z,u,z) * w)) = T(x,y \ w). [para(13033(a,2),13099(a,1,2))]. given #11192 (H,wt=14): 13124 T(x,y \ R(z,u,z)) = T(x,y \ z). [para(9185(a,1),13104(a,1,2,2))]. given #11193 (H,wt=17): 13108 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4120(a,1),13086(a,1,2,1))]. given #11194 (H,wt=17): 13111 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11217(a,1),13086(a,1,2,1))]. given #11195 (H,wt=17): 13112 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(4045(a,1),13088(a,1,2,2)),flip(a)]. given #11196 (H,wt=17): 13115 T(x,y * ((z \ u) \ u)) = T(x,y * T(z,u)). [para(12548(a,1),13103(a,1,2,2)),flip(a)]. given #11197 (H,wt=17): 13117 K(x,K(y,y * z) * u) = K(x,K(y,z) * u). [para(10918(a,1),13089(a,1,2))]. given #11198 (H,wt=17): 13120 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9199(a,1),13095(a,1,2,2))]. given #11199 (H,wt=17): 13121 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9172(a,1),13095(a,1,2,2))]. given #11200 (H,wt=17): 13125 T(x,y \ T(z * u,z)) = T(x,y \ (u * z)). [para(9199(a,1),13104(a,1,2,2))]. given #11201 (H,wt=17): 13128 K(x,T(y,z * y) \ u) = K(x,T(y,z) \ u). [para(3948(a,2),13111(a,1,2,1)),flip(a)]. given #11202 (H,wt=17): 13131 K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). [para(10(a,1),13117(a,1,2,1,2)),flip(a)]. given #11203 (H,wt=17): 13132 K(x,y \ K(z,u * z)) = K(x,y \ K(z,u)). [para(4786(a,1),13121(a,1,2,2)),flip(a)]. given #11204 (H,wt=18): 13100 T(x,y * a(z,u,z)) = L(T(x,y),w,a(v5,v6,v5)). [hyper(286,a,12879,a,b,13099,a),flip(a)]. given #11205 (H,wt=15): 13136 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(13100(a,2),339(a,1)),flip(b)]. given #11206 (H,wt=16): 13137 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(9211(a,1),13136(a,1,2))]. given #11207 (H,wt=16): 13139 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4788(a,1),13137(a,1,2))]. given #11208 (H,wt=16): 13140 T(x,K(y \ z,y)) != u | T(x,K(y,z)) = u. [para(8115(a,1),13137(a,1))]. given #11209 (H,wt=18): 13122 K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). [para(10986(a,1),13095(a,1,2,2))]. given #11210 (H,wt=18): 13123 K(x,y \ (z \ a(u,w,u))) = K(x,y \ (z \ 1)). [para(13015(a,1),13095(a,1,2,2))]. given #11211 (H,wt=19): 13090 (a(x,y,x) \ z) * K(x,z) = (L(x,y,x) * z) / x. [para(13083(a,1),10977(a,1,2))]. given #11212 (H,wt=19): 13126 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(286,a,13108,a,b,13111,a)]. given #11213 (H,wt=19): 13129 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(286,a,4614,a(flip),b,13112,a),flip(a)]. given #11214 (H,wt=19): 13133 K(x,K(y,y \ z) * (z \ u)) = K(x,T(z,y) \ u). [para(5741(a,1),13131(a,2,2))]. given #11215 (H,wt=19): 13134 K(x,K(y,z) * ((z / y) \ u)) = K(x,(y \ z) \ u). [para(6184(a,1),13131(a,1,2)),flip(a)]. given #11216 (H,wt=19): 13138 T(x,y \ (a(z,u,z) * w)) != v5 | T(x,y \ w) = v5. [para(13033(a,2),13136(a,1,2))]. given #11217 (H,wt=17): 13146 T(x,y \ R(z,u,z)) != w | T(x,y \ z) = w. [para(9185(a,1),13138(a,1,2,2))]. given #11218 (H,wt=20): 13119 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(13046(a,1),13089(a,1,2,2))]. given #11219 (H,wt=20): 13144 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(13129(a,2),4728(a,1))]. given #11220 (H,wt=21): 13127 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(286,a,6895,a,b,13111,a),flip(a)]. given #11221 (H,wt=20): 13148 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(13127(a,2),6902(a,1))]. given #11222 (H,wt=21): 13141 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * T(u,w))). [para(4120(a,1),13122(a,1,2,2,2))]. given #11223 (H,wt=21): 13142 K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). [para(11217(a,1),13122(a,1,2,2,2))]. given #11224 (H,wt=22): 13110 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(13086(a,1),9247(a,1,1))]. given #11225 (H,wt=17): 13150 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(9237,a,13110,a),flip(a)]. given #11226 (H,wt=17): 13152 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),13150(a,1,2,1,1)),flip(a)]. given #11227 (H,wt=16): 13153 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(13152(a,1),8512(a,1))]. given #11228 (H,wt=16): 13155 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3928(a,1),13153(a,1,2))]. given #11229 (H,wt=22): 13118 K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * ((z \ 1) * v5)). [para(13037(a,1),13089(a,1,2,2)),flip(a)]. given #11230 (H,wt=22): 13147 K(x,y * ((z / L(u,w,u)) * v5)) = K(x,y * ((z / u) * v5)). [para(13058(a,1),13119(a,1,2,2)),flip(a)]. given #11231 (H,wt=22): 13154 K(x,L(T(y,z),u,w) \ z) != v5 | K(x,z / L(y,u,w)) = v5. [para(25(a,2),13153(a,1,2,1))]. given #11232 (H,wt=23): 13106 T(x,T(T(y,z) / z,u)) = K(x,u) * T(x * K(u,x),z \ y). [para(13102(a,1),9306(a,1,2)),flip(a)]. given #11233 (H,wt=17): 13156 T(x,T(T(y,z) / z,u)) = T(x,T(z \ y,u)). [hyper(286,a,9306,a(flip),b,13106,a),flip(a)]. given #11234 (H,wt=17): 13157 T(x,T(y / T(z,y),u)) = T(x,T(z \ y,u)). [para(3926(a,1),13156(a,1,2,1))]. given #11235 (H,wt=23): 13107 K(x,T(y,z \ u) * (T(u,z) / z)) = K(x,(T(u,z) / z) * y). [para(13102(a,1),12122(a,1,2,1))]. given #11236 (H,wt=23): 13145 K(K(x,x \ y) * (y \ z),u) = (w * K(u,T(y,x) \ z)) \ w. [para(13133(a,1),6895(a,1,1,2)),flip(a)]. given #11237 (H,wt=19): 13158 K(K(x,x \ y) * (y \ z),u) = K(T(y,x) \ z,u). [hyper(286,a,6895,a(flip),b,13145,a),flip(a)]. given #11238 (H,wt=19): 13160 K(T(x,y) \ (x * z),u) = K(K(y,y \ x) * z,u). [para(9(a,1),13158(a,1,1,2)),flip(a)]. given #11239 (H,wt=17): 13161 K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). [para(5740(a,1),13160(a,1,1)),flip(a)]. given #11240 (H,wt=19): 13162 K(T(x,x \ y) * z,u) = K(K(x,y) * (x * z),u). [para(4675(a,1),13161(a,1,1))]. given #11241 (H,wt=17): 13165 K(T(x,x \ y) * z,u) = K(T(x,y) * z,u). [para(4675(a,1),13162(a,2,1))]. given #11242 (H,wt=19): 13166 K(T(x \ y,y) * z,u) = K(T(x \ y,x) * z,u). [para(3934(a,1),13165(a,1,1,1)),flip(a)]. given #11243 (H,wt=21): 13163 K(K(x,x \ y) * (y * z),u) = K(y * (K(x,y) * z),u). [para(5885(a,1),13161(a,2,1))]. given #11244 (H,wt=19): 13167 K((x * (y / x)) * z,u) = K(y * (K(x,y) * z),u). [para(11434(a,1),13163(a,1,1))]. given #11245 (H,wt=22): 13159 K(K(x,x \ y) * (y \ z),u) != w | K(T(y,x) \ z,u) = w. [para(13145(a,2),6902(a,1))]. given #11246 (H,wt=23): 13149 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). [hyper(286,a,13141,a,b,13142,a)]. given #11247 (H,wt=25): 13116 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(6089(a,1),13101(a,1,2)),flip(a)]. given #11248 (H,wt=15): 13169 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4591(a,1),13116(a,1,2,2))]. given #11249 (H,wt=25): 13135 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(T(y \ z,y) \ 1) * u). [para(6510(a,1),13131(a,1,2)),flip(a)]. given #11250 (H,wt=25): 13164 K(K(x,y) * (((x \ y) \ 1) * z),u) = K((T(x \ y,x) \ 1) * z,u). [para(6510(a,1),13161(a,1,1)),flip(a)]. given #11251 (H,wt=26): 13060 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(a(y,z,y) \ u,x). [hyper(115,a,13049,a(flip),b,85,a)]. given #11252 (H,wt=26): 13170 (x * y) \ (a(z,u,z) * (y * (a(z,u,z) \ x))) = K(a(z,u,z) \ y,x). [hyper(62,a,13052,a(flip),b,13060,a)]. given #11253 (H,wt=16): 13171 K(a(x,y,x) \ z,u) = (u * z) \ (z * u). [para(13045(a,1),13170(a,1,2)),flip(a)]. given #11254 (H,wt=12): 13172 K(a(x,y,x) \ z,u) = K(z,u). [hyper(286,a,16,a,b,13171,a),flip(a)]. given #11255 (H,wt=12): 13174 K(a(x,y,x) * z,u) = K(z,u). [hyper(7510,a,13172,a),flip(a)]. given #11256 (H,wt=12): 13179 K(x * a(y,z,y),u) = K(x,u). [para(10939(a,1),13174(a,1,1))]. given #11257 (H,wt=13): 13181 K(T(x,y) / y,z) = K(y \ x,z). [para(9202(a,1),13179(a,1,1))]. given #11258 (H,wt=13): 13185 K(x / T(y,x),z) = K(y \ x,z). [hyper(62,a,10106,a(flip),b,13181,a)]. given #11259 (H,wt=14): 13178 K(R(x,y,x) \ z,u) = K(x \ z,u). [para(10438(a,1),13174(a,1,1)),flip(a)]. given #11260 (H,wt=14): 13182 K(x / L(y,z,y),u) = K(x / y,u). [para(10041(a,1),13179(a,1,1))]. given #11261 (H,wt=15): 13175 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13172(a,1),7510(a,1))]. given #11262 (H,wt=15): 13187 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(10939(a,1),13175(a,1,1))]. given #11263 (H,wt=16): 13177 K(x * (a(y,z,y) \ u),w) = K(x * u,w). [para(13046(a,1),13172(a,1,1))]. given #11264 (H,wt=16): 13180 K((a(x,y,x) \ z) * u,w) = K(z * u,w). [para(12884(a,1),13174(a,1,1)),flip(a)]. given #11265 (H,wt=16): 13188 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9202(a,1),13187(a,1,1))]. given #11266 (H,wt=16): 13192 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3926(a,1),13188(a,1,1))]. given #11267 (H,wt=17): 13186 K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u). [para(4120(a,1),13178(a,1,1,1))]. given #11268 (H,wt=17): 13189 K(x * K(y * z,y),u) = K(x * K(z,y),u). [para(9187(a,1),13177(a,1,1,2)),flip(a)]. given #11269 (H,wt=17): 13190 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [para(9187(a,1),13180(a,1,1,1)),flip(a)]. given #11270 (H,wt=17): 13191 K(K(x * y,y) * z,u) = K(K(x,y) * z,u). [para(9207(a,1),13180(a,1,1,1)),flip(a)]. given #11271 (H,wt=18): 13176 K((x \ a(y,z,y)) * u,w) = K((x \ 1) * u,w). [para(13037(a,1),13172(a,1,1)),flip(a)]. given #11272 (H,wt=19): 13184 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(13179(a,1),12902(a,2,2))]. given #11273 (H,wt=17): 13194 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(286,a,4659,a,b,13184,a),flip(a)]. given #11274 (H,wt=17): 13196 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [hyper(131,a,13194,a),flip(a)]. given #11275 (H,wt=17): 13197 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(10939(a,2),13196(a,1,1))]. given #11276 (H,wt=19): 13193 K(T(x \ y,y) \ z,u) = K(T(x \ y,x) \ z,u). [para(3934(a,1),13186(a,1,1,1)),flip(a)]. given #11277 (H,wt=27): 13168 K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). [para(213(a,1),13149(a,1,2,2))]. given #11278 (H,wt=25): 13199 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). [para(8537(a,1),13168(a,1,2,2,1))]. given #11279 (H,wt=23): 13200 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). [hyper(286,a,13142,a(flip),b,13199,a),flip(a)]. given #11280 (H,wt=21): 13202 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). [para(213(a,1),13200(a,2,2,2))]. given #11281 (H,wt=25): 13203 K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ (T(z \ 1,u) * w)). [para(4012(a,1),13202(a,1,2,2,1))]. given #11282 (H,wt=29): 12899 (a(x,y,x) * (z * u)) \ (u * (a(x,y,x) * z)) != w | K(u,a(x,y,x) * z) = w. [para(12877(a,1),307(a,1,1))]. given #11283 (H,wt=29): 12972 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(12970(a,1),4697(a,1,2))]. given #11284 (H,wt=26): 13204 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(12972,a,12761,a(flip)),flip(a)]. given #11285 (H,wt=24): 13205 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12654(a,1),13204(a,1,1))]. given #11286 (H,wt=24): 13206 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(62,a,12808,a,b,13205,a),flip(a)]. given #11287 (H,wt=19): 13207 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(162(a,1),13206(a,2,1,2))]. given #11288 (H,wt=21): 13209 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),13207(a,1,1))]. given #11289 (H,wt=21): 13210 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(62,a,9951,a,b,13209,a)]. given #11290 (H,wt=21): 13211 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(62,a,12139,a(flip),b,13210,a)]. given #11291 (H,wt=21): 13212 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4777(a,2),13211(a,2,1))]. given #11292 (H,wt=27): 13208 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(12945,a,13207,a)]. given #11293 (H,wt=25): 13213 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13207(a,1),13208(a,1,1))]. given #11294 (H,wt=29): 13062 (x * (a(y,z,y) \ u)) \ ((a(y,z,y) \ x) * (u * w)) = L(w,u,a(y,z,y) \ x). [para(13049(a,1),18(a,2,1)),flip(a)]. given #11295 (H,wt=29): 13063 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). [para(13049(a,1),18(a,2,2,2)),flip(a)]. given #11296 (H,wt=29): 13064 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) != w | K(a(y,z,y) \ u,x) = w. [para(13049(a,1),307(a,1,2))]. given #11297 (H,wt=29): 13214 (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). [para(13049(a,1),13062(a,1,2))]. given #11298 (H,wt=29): 13215 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). [para(13046(a,1),13214(a,1,2,2))]. given #11299 (H,wt=19): 13216 L(x,a(y,z,y) \ u,w) = L(x,u,a(y,z,y) \ w). [hyper(62,a,13063,a(flip),b,13215,a)]. given #11300 (H,wt=30): 12886 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12879(a,1),431(a,1,2,1)),flip(a)]. given #11301 (H,wt=30): 13013 K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,x \ (z \ y),x). [para(13006(a,1),11355(a,2,2))]. given #11302 (H,wt=30): 13073 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(593(a,1),13036(a,2,2))]. given #11303 (H,wt=26): 13219 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,x) * (x \ y)). [para(9571(a,1),13073(a,2,2,1))]. given #11304 (H,wt=24): 13221 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (y * a(x,z,x)). [para(10940(a,1),13219(a,2,2))]. given #11305 (H,wt=17): 13222 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(342,a,13221,a),flip(a)]. given #11306 (H,wt=22): 13223 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(62,a,11615,a(flip),b,13222,a)]. given #11307 (H,wt=22): 13225 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(23(a,1),13223(a,1,1,2))]. given #11308 (H,wt=24): 13226 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(286,a,12999,a,b,13225,a)]. given #11309 (H,wt=19): 13227 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(34,a,10781,a,b,13226,a(flip))]. given #11310 (H,wt=19): 13229 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(286,a,7723,a(flip),b,13227,a),flip(a)]. given #11311 (H,wt=23): 13231 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8662(a,2),13229(a,2,1)),flip(a)]. given #11312 (H,wt=23): 13232 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(7011(a,2),13231(a,1,1,1))]. given #11313 (H,wt=27): 13228 a(x,T(y,z),x) != u * K(x,T(T(y,w),v5)) | K(x * y,T(T(x,w),v5)) = u. [para(13226(a,2),43(a,1))]. given #11314 (H,wt=30): 13217 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12877(a,1),12886(a,2,1))]. given #11315 (H,wt=30): 13233 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(286,a,12885,a(flip),b,13217,a),flip(a)]. given #11316 (H,wt=25): 13234 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),13233(a,2,2))]. given #11317 (H,wt=19): 13235 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12879(a,1),13234(a,1,2))]. given #11318 (H,wt=31): 12897 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12877(a,1),14(a,2,1)),flip(a)]. given #11319 (H,wt=31): 12918 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(62,a,11633,a(flip),b,12896,a)]. given #11320 (H,wt=30): 13238 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4823(a,1),12918(a,2,2))]. given #11321 (H,wt=25): 13239 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9206,a,13238,a)]. given #11322 (H,wt=22): 13240 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12984(a,1),13239(a,1,1))]. given #11323 (H,wt=22): 13242 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(286,a,13000,a,b,13240,a),flip(a)]. given #11324 (H,wt=17): 13245 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(18(a,2),13242(a,2,2))]. given #11325 (H,wt=12): 13246 a(x,L(y,z,u),x) = a(x,y,x). [hyper(13029,a,13245,a),flip(a)]. given #11326 (H,wt=14): 13249 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13246(a,1),9179(a,1,2)),flip(a)]. given #11327 (H,wt=12): 13251 R(x,L(y,z,u),x) = R(x,y,x). [hyper(286,a,9179,a(flip),b,13249,a),flip(a)]. given #11328 (H,wt=14): 13250 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13246(a,1),10046(a,1,1)),flip(a)]. given #11329 (H,wt=12): 13253 L(x,L(y,z,u),x) = L(x,y,x). [hyper(286,a,10046,a(flip),b,13250,a),flip(a)]. given #11330 (H,wt=17): 13248 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(268(a,1),13246(a,1,2))]. given #11331 (H,wt=17): 13254 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1722(a,2),13253(a,1,2)),flip(a)]. given #11332 (H,wt=31): 13056 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(13047(a,1),14(a,2,1,2)),flip(a)]. given #11333 (H,wt=31): 13061 (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(x,a(z,u,z) \ y,w). [para(13049(a,1),14(a,2,1,2)),flip(a)]. given #11334 (H,wt=31): 13237 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12877(a,1),12897(a,1,2,1))]. given #11335 (H,wt=31): 13255 (x * (y * (a(z,u,z) * w))) \ (a(z,u,z) * ((x * y) * w)) = a(x,y * a(z,u,z),w). [para(12989(a,1),13056(a,1,2))]. given #11336 (H,wt=31): 13257 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12877(a,1),13237(a,1,2))]. given #11337 (H,wt=24): 13259 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(753,a,13257,a)]. given #11338 (H,wt=14): 13260 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12883,a,13259,a),flip(a)]. given #11339 (H,wt=14): 13262 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(10(a,1),13260(a,1,1)),flip(a)]. given #11340 (H,wt=15): 13263 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9209(a,1),13260(a,1,1))]. given #11341 (H,wt=15): 13264 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9172(a,1),13260(a,1,1))]. given #11342 (H,wt=15): 13265 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9171(a,1),13262(a,1,1))]. given #11343 (H,wt=17): 13266 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(10(a,1),13263(a,1,1,1))]. given #11344 (H,wt=15): 13268 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(286,a,13264,a(flip),b,13266,a),flip(a)]. given #11345 (H,wt=15): 13269 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(6773(a,1),13268(a,1,1)),flip(a)]. given #11346 (H,wt=17): 13270 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(7008(a,1),13269(a,1,1))]. given #11347 (H,wt=15): 13271 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(62,a,13263,a(flip),b,13270,a),flip(a)]. given #11348 (H,wt=15): 13273 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3314(a,1),13271(a,1,1)),flip(a)]. given #11349 (H,wt=19): 13267 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(62,a,13212,a,b,13265,a)]. given #11350 (H,wt=21): 13272 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(62,a,12652,a,b,13271,a)]. given #11351 (H,wt=21): 13274 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12930(a,1),13271(a,2,1))]. given #11352 (H,wt=27): 13275 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11445(a,2),13273(a,2,1)),flip(a)]. given #11353 (H,wt=25): 13279 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(7404(a,1),13275(a,2,1))]. given #11354 (H,wt=23): 13280 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(286,a,13273,a(flip),b,13279,a),flip(a)]. given #11355 (H,wt=21): 13281 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11445(a,1),13280(a,1,1))]. given #11356 (H,wt=21): 13282 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12930(a,1),13281(a,2,1))]. given #11357 (H,wt=27): 13278 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,12698,a,b,13274,a)]. given #11358 (H,wt=19): 13283 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13272(a,1),13278(a,1,1)),flip(a)]. given #11359 (H,wt=25): 13284 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(286,a,13213,a(flip),b,13283,a),flip(a)]. given #11360 (H,wt=23): 13285 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,13282,a(flip),b,13284,a)]. given #11361 (H,wt=29): 13276 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(62,a,11007,a,b,13267,a)]. given #11362 (H,wt=31): 13258 (x * (y * z)) \ (a(u,w,u) \ (a(u,w,u) * ((x * y) * z))) = a(x,y * a(u,w,u),z). [hyper(62,a,13072,a(flip),b,13255,a)]. given #11363 (H,wt=21): 13286 a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). [para(9(a,1),13258(a,1,2)),flip(a)]. given #11364 (H,wt=14): 13287 a(x,y * a(z,u,z),w) = a(x,y,w). [hyper(286,a,14,a,b,13286,a),flip(a)]. given #11365 (H,wt=14): 13290 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(10946(a,1),13287(a,1,2)),flip(a)]. given #11366 (H,wt=15): 13289 a(x,T(y * z,y),u) = a(x,z * y,u). [para(9200(a,1),13287(a,1,2))]. given #11367 (H,wt=32): 13066 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) != v5 | L(w,a(y,z,y) \ u,x) = v5. [para(13049(a,1),439(a,1,2,2))]. given #11368 (H,wt=32): 13252 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(13251(a,1),12766(a,1,2,1))]. given #11369 (H,wt=29): 13291 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(13251(a,1),13252(a,1,2,2,1))]. given #11370 (H,wt=29): 13293 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(3989(a,2),13291(a,1,2))]. given #11371 (H,wt=28): 13295 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4033(a,1),13293(a,1,2,2))]. given #11372 (H,wt=26): 13296 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12112(a,1),13295(a,1,2))]. given #11373 (H,wt=21): 13297 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(729(a,1),13296(a,1,2)),flip(a)]. given #11374 (H,wt=19): 13298 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(62,a,10323,a(flip),b,13297,a)]. given #11375 (H,wt=26): 13299 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(115,a,13298,a(flip),b,4659,a(flip))]. given #11376 (H,wt=21): 13301 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9168,a,13299,a),flip(a)]. given #11377 (H,wt=17): 13302 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(286,a,11783,a(flip),b,13301,a),flip(a)]. given #11378 (H,wt=22): 13303 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),13302(a,1,1))]. given #11379 (H,wt=22): 13304 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(62,a,9790,a(flip),b,13303,a)]. given #11380 (H,wt=19): 13305 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11715(a,1),13304(a,2,3))]. given #11381 (H,wt=17): 13306 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(286,a,11984,a(flip),b,13305,a),flip(a)]. given #11382 (H,wt=17): 13308 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10857,a,13306,a)]. given #11383 (H,wt=24): 13311 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),13308(a,1,2))]. given #11384 (H,wt=24): 13312 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(7092,a,13311,a)]. given #11385 (H,wt=24): 13313 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(62,a,10723,a(flip),b,13312,a)]. given #11386 (H,wt=21): 13314 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11718(a,1),13313(a,2,3))]. given #11387 (H,wt=17): 13315 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(76(a,1),13314(a,2,3,1))]. given #11388 (H,wt=21): 13318 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13315(a,1),5844(a,1,2,1)),flip(a)]. given #11389 (H,wt=17): 13319 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(286,a,11033,a(flip),b,13318,a),flip(a)]. given #11390 (H,wt=19): 13320 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13319(a,1),4659(a,2,2))]. given #11391 (H,wt=21): 13321 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13319(a,1),11996(a,1,3)),flip(a)]. given #11392 (H,wt=21): 13322 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,12001,a,b,13321,a)]. given #11393 (H,wt=23): 13324 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,11990,a,b,13322,a)]. given #11394 (H,wt=25): 13326 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(9937(a,2),13324(a,1,3))]. given #11395 (H,wt=26): 13300 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(13298(a,2),513(a,1))]. given #11396 (H,wt=27): 13309 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(13306(a,1),12000(a,1,3)),flip(a)]. given #11397 (H,wt=27): 13310 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(62,a,11007,a,b,13308,a)]. given #11398 (H,wt=25): 13327 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13254(a,1),13310(a,1,2))]. given #11399 (H,wt=25): 13328 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6306,a,13327,a)]. given #11400 (H,wt=23): 13329 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(62,a,7867,a(flip),b,13328,a)]. given #11401 (H,wt=27): 13325 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13322(a,1),10253(a,1,2))]. given #11402 (H,wt=17): 13330 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12578(a,1),13325(a,1,2)),flip(a)]. given #11403 (H,wt=15): 13331 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(286,a,8,a(flip),b,13330,a),flip(a)]. given #11404 (H,wt=29): 13333 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(13331(a,1),10447(a,1,2,2)),flip(a)]. given #11405 (H,wt=15): 13334 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(286,a,10447,a(flip),b,13333,a),flip(a)]. given #11406 (H,wt=17): 13335 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13334(a,1),4659(a,2,2))]. given #11407 (H,wt=15): 13338 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(4730,a,13335,a),flip(a)]. given #11408 (H,wt=19): 13336 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(13334(a,1),8399(a,1,2)),flip(a)]. given #11409 (H,wt=21): 13339 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13338(a,1),13329(a,1,2,1))]. given #11410 (H,wt=15): 13340 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4863,a,13339,a)]. given #11411 (H,wt=32): 13277 (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,6919,a(flip),b,13267,a)]. given #11412 (H,wt=32): 13323 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(13321(a,1),12307(a,1,1))]. given #11413 (H,wt=22): 13341 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(12581(a,1),13323(a,1,1))]. given #11414 (H,wt=20): 13342 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(118,a,13341,a)]. given #11415 (H,wt=17): 13344 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(62,a,7166,a(flip),b,13342,a)]. given #11416 (H,wt=19): 13346 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13344(a,1),4659(a,2,2)),flip(a)]. given #11417 (H,wt=17): 13348 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4663,a,13346,a),flip(a)]. given #11418 (H,wt=22): 13347 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(13344(a,1),8384(a,1,2))]. given #11419 (H,wt=27): 13349 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13348(a,2),595(a,1,1))]. given #11420 (H,wt=25): 13350 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(286,a,13320,a(flip),b,13349,a),flip(a)]. given #11421 (H,wt=34): 13256 (K(x,y) * (z * (a(x,y,x) \ u))) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). [para(10918(a,1),13061(a,1,2,1))]. given #11422 (H,wt=31): 13351 (K(x,x * y) * (z * u)) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). [para(13050(a,1),13256(a,1,1))]. given #11423 (H,wt=20): 13352 a(K(x,y),a(x,y,x) \ z,u) = a(K(x,x * y),z,u). [hyper(655,a,13351,a),flip(a)]. given #11424 (H,wt=35): 12887 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12879(a,1),429(a,1,2,2,1))]. given #11425 (H,wt=35): 13236 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(13235(a,2),12794(a,1,1,2))]. given #11426 (H,wt=21): 13354 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(10(a,1),13236(a,1,1,2,1)),flip(a)]. given #11427 (H,wt=28): 13355 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13354(a,1),13277(a,1,1))]. given #11428 (H,wt=24): 13356 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(9(a,1),13355(a,1,2))]. given #11429 (H,wt=17): 13357 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4684,a,13356,a),flip(a)]. given #11430 (H,wt=21): 13359 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13357(a,1),12690(a,2,2))]. given #11431 (H,wt=19): 13360 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(62,a,12948,a(flip),b,13359,a),flip(a)]. given #11432 (H,wt=21): 13361 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(62,a,10855,a,b,13360,a)]. given #11433 (H,wt=21): 13362 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8060(a,2),13361(a,2,1))]. given #11434 (H,wt=19): 13363 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(10865,a,13362,a)]. given #11435 (H,wt=26): 13364 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,10343,a(flip),b,13363,a)]. given #11436 (H,wt=26): 13365 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8077(a,1),13364(a,2,1))]. given #11437 (H,wt=23): 13366 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9105(a,1),13365(a,2,1))]. given #11438 (H,wt=22): 13367 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10373,a,13366,a)]. given #11439 (H,wt=23): 13370 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(62,a,10876,a(flip),b,13367,a)]. given #11440 (H,wt=35): 13353 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12877(a,1),12887(a,1,2))]. given #11441 (H,wt=28): 13372 L(L(x,y,z),z * y,a(u,w,u)) = L(x,L(y,z,a(u,w,u)),a(u,w,u) * z). [hyper(751,a,13353,a)]. given #11442 (H,wt=20): 13373 L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = L(x,y,z). [hyper(12883,a,13372,a),flip(a)]. given #11443 (H,wt=14): 13375 L(x,y,a(z,u,z) * w) = L(x,y,w). [para(12879(a,1),13373(a,1,2))]. given #11444 (H,wt=14): 13376 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(10(a,1),13375(a,1,3)),flip(a)]. given #11445 (H,wt=14): 13381 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(10939(a,1),13375(a,1,3))]. given #11446 (H,wt=14): 13384 L(x,a(y,z,y) \ u,w) = L(x,u,w). [hyper(62,a,13216,a,b,13376,a)]. given #11447 (H,wt=15): 13377 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(9191(a,1),13375(a,1,3))]. given #11448 (H,wt=15): 13378 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9195(a,1),13375(a,1,3)),flip(a)]. given #11449 (H,wt=15): 13379 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(9199(a,1),13375(a,1,3))]. given #11450 (H,wt=15): 13380 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9172(a,1),13375(a,1,3))]. given #11451 (H,wt=15): 13385 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9171(a,1),13376(a,1,3))]. given #11452 (H,wt=10): 13391 L(x,y / z,K(y,z)) = x. [hyper(7756,a,13385,a)]. given #11453 (H,wt=16): 13386 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(10057(a,1),13381(a,1,3))]. given #11454 (H,wt=17): 13390 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(4785(a,1),13380(a,1,3)),flip(a)]. given #11455 (H,wt=15): 13394 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(286,a,13385,a(flip),b,13390,a),flip(a)]. given #11456 (H,wt=10): 13395 L(x,K(y,z),K(y,u)) = x. [hyper(10924,a,13394,a),flip(a)]. given #11457 (H,wt=15): 13396 L(x,y,K(z,u \ z)) = L(x,y,K(u,z)). [para(6955(a,1),13394(a,1,3)),flip(a)]. given #11458 (H,wt=17): 13392 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13391(a,1),5908(a,1,2)),flip(a)]. given #11459 (H,wt=17): 13399 L(x,y,K(z,z * (u \ 1))) = L(x,y,K(u,z)). [para(5960(a,2),13396(a,1,3))]. given #11460 (H,wt=15): 13401 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [hyper(62,a,13378,a(flip),b,13399,a)]. given #11461 (H,wt=17): 13400 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5851,a,13392,a)]. given #11462 (H,wt=12): 13403 R(K(x,y),x \ y,z) = K(x,y). [hyper(9889,a,13400,a)]. given #11463 (H,wt=14): 13404 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),13403(a,1,2))]. given #11464 (H,wt=16): 13406 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(62,a,12394,a,b,13404,a)]. given #11465 (H,wt=18): 13382 L(x,y,(a(z,u,z) \ w) * v5) = L(x,y,w * v5). [para(12884(a,1),13375(a,1,3)),flip(a)]. given #11466 (H,wt=18): 13383 L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). [para(13045(a,1),13375(a,1,3)),flip(a)]. given #11467 (H,wt=18): 13408 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13406(a,1),4659(a,2,2))]. given #11468 (H,wt=16): 13411 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(286,a,4659,a,b,13408,a),flip(a)]. given #11469 (H,wt=15): 13412 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(9812,a,13411,a)]. given #11470 (H,wt=15): 13413 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(12(a,1),13412(a,1,2,1,2))]. given #11471 (H,wt=15): 13414 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(62,a,9749,a(flip),b,13413,a)]. given #11472 (H,wt=17): 13415 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(286,a,4659,a(flip),b,13414,a)]. given #11473 (H,wt=15): 13416 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(33,a,4659,a(flip),b,13415,a)]. given #11474 (H,wt=15): 13417 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(9735,a,13416,a)]. given #11475 (H,wt=19): 13393 L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). [para(12548(a,1),13386(a,1,3,1)),flip(a)]. given #11476 (H,wt=19): 13397 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(1145,a,13395,a),flip(a)]. given #11477 (H,wt=19): 13398 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(62,a,6304,a(flip),b,13395,a)]. given #11478 (H,wt=19): 13410 L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). [para(9171(a,1),13382(a,1,3,1))]. given #11479 (H,wt=21): 13422 L(x,y,K(z \ u,u) * w) = L(x,y,K(z,u \ 1) * w). [para(6461(a,1),13410(a,1,3,1)),flip(a)]. given #11480 (H,wt=23): 13418 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13416(a,1),8203(a,1,1,2))]. given #11481 (H,wt=19): 13424 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(9426,a,13418,a),flip(a)]. given #11482 (H,wt=19): 13425 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(62,a,9443,a(flip),b,13424,a)]. given #11483 (H,wt=19): 13426 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10207,a,13425,a)]. given #11484 (H,wt=23): 13419 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13417(a,1),7241(a,1,1))]. given #11485 (H,wt=21): 13428 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(62,a,7241,a(flip),b,13419,a),flip(a)]. given #11486 (H,wt=24): 13402 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z \ 1,u)). [hyper(7355,a,13401,a),flip(a)]. given #11487 (H,wt=17): 13429 L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). [hyper(11310,a,13402,a),flip(a)]. given #11488 (H,wt=24): 13409 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13406(a,1),12399(a,1,1))]. given #11489 (H,wt=24): 13430 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(286,a,13417,a(flip),b,13409,a),flip(a)]. given #11490 (H,wt=19): 13432 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),13430(a,2,2,2))]. given #11491 (H,wt=19): 13433 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12939,a,13432,a)]. given #11492 (H,wt=25): 13421 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(u,u \ 1)). [hyper(62,a,9914,a(flip),b,13398,a)]. given #11493 (H,wt=23): 13434 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3166(a,1),13421(a,2,2))]. given #11494 (H,wt=23): 13435 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(286,a,5885,a(flip),b,13434,a),flip(a)]. given #11495 (H,wt=21): 13436 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(9059(a,1),13435(a,2,2))]. given #11496 (H,wt=21): 13437 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(4906,a,13436,a)]. given #11497 (H,wt=32): 13423 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,(u \ z) * u) * w). [para(10918(a,1),13410(a,1,3)),flip(a)]. given #11498 (H,wt=32): 13439 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,u * (u \ z)) * w). [para(5991(a,2),13423(a,2,3,1))]. given #11499 (H,wt=28): 13440 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,z) * w). [para(10(a,1),13439(a,2,3,1,2))]. given #11500 (H,wt=19): 13441 L(x,y,K(z \ u,u) * w) = L(x,y,K(u,z) * w). [hyper(62,a,13383,a(flip),b,13440,a),flip(a)]. given #11501 (H,wt=19): 13443 L(x,y,K(z,u \ 1) * w) = L(x,y,K(u,z) * w). [hyper(62,a,13422,a(flip),b,13441,a)]. given #11502 (H,wt=34): 13388 L(x \ (y * z),x,K(z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [hyper(62,a,12443,a(flip),b,13377,a),flip(a)]. given #11503 (H,wt=33): 13444 (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [hyper(62,a,6302,a(flip),b,13388,a),flip(a)]. given #11504 (H,wt=29): 13445 (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(8814(a,1),13444(a,1,1,1))]. given #11505 (H,wt=23): 13446 (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). [para(3689(a,1),13445(a,1,2,1))]. given #11506 (H,wt=34): 13420 (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(13397(a,1),11610(a,1,2))]. given #11507 (H,wt=34): 13427 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13426(a,1),12714(a,1,2))]. given #11508 (H,wt=30): 13449 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(9389(a,1),13427(a,1,2)),flip(a)]. given #11509 (H,wt=23): 13450 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(286,a,5719,a(flip),b,13449,a),flip(a)]. given #11510 (H,wt=13): 13451 L(x,y \ z,x) = L(x,z / y,x). [hyper(62,a,10873,a(flip),b,13450,a)]. given #11511 (H,wt=13): 13453 L(x,(y \ z) \ z,x) = L(x,y,x). [para(73(a,1),13451(a,2,2))]. given #11512 (H,wt=13): 13457 L(x,y * K(z,y),x) = L(x,y,x). [para(6219(a,1),13453(a,1,2)),flip(a)]. given #11513 (H,wt=19): 13458 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(6098(a,1),13457(a,1,2))]. given #11514 (H,wt=24): 13455 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4816(a,2),13451(a,2,2)),flip(a)]. given #11515 (H,wt=20): 13459 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(62,a,13458,a(flip),b,13455,a),flip(a)]. given #11516 (H,wt=16): 13460 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(13079,a,13459,a),flip(a)]. given #11517 (H,wt=12): 13462 L(x,R(y,z,u),x) = L(x,y,x). [para(9(a,1),13460(a,2,2))]. given #11518 (H,wt=29): 13454 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3565(a,2),13451(a,2,2)),flip(a)]. given #11519 (H,wt=22): 13463 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(14(a,2),13454(a,2,2))]. given #11520 (H,wt=17): 13464 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(62,a,13462,a(flip),b,13463,a)]. given #11521 (H,wt=27): 13466 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13464(a,1),13276(a,1,2))]. given #11522 (H,wt=27): 13467 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6306,a,13466,a)]. given #11523 (H,wt=27): 13468 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13357(a,2),13467(a,1,1))]. given #11524 (H,wt=25): 13469 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(11000,a,13468,a)]. given #11525 (H,wt=9): 13470 a(x,a(y,z,u),x) = 1. [hyper(158,a,13469,a),flip(a)]. given #11526 (H,wt=11): 13471 a(x,a(y,z,u),x) \ w = w. [para(13470(a,2),64(a,1,1))]. given #11527 (H,wt=15): 13472 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(9198,a,13471,a)]. given #11528 (H,wt=13): 13475 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(62,a,13340,a(flip),b,13472,a)]. given #11529 (H,wt=10): 13476 a(x \ 1,x,K(y,z)) = 1. [hyper(286,a,10763,a(flip),b,13475,a),flip(a)]. given #11530 (H,wt=12): 13481 L(K(x,y),z,z \ 1) = K(x,y). [hyper(51,a,13476,a)]. given #11531 (H,wt=12): 13482 K(L(x,y,y \ 1),z) = K(x,z). [hyper(11808,a,13481,a)]. given #11532 (H,wt=12): 13483 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11777,a,13481,a)]. given #11533 (H,wt=12): 13496 K(x,L(y,z,z \ x)) = K(x,y). [hyper(11816,a,13483,a)]. given #11534 (H,wt=12): 13497 K(x,L(y,z \ x,z)) = K(x,y). [hyper(62,a,11833,a(flip),b,13483,a)]. given #11535 (H,wt=12): 13499 K(x,L(y,z \ 1,z)) = K(x,y). [para(3011(a,1),13483(a,1,2))]. given #11536 (H,wt=13): 13487 (x \ 1) \ K(y,z) = x * K(y,z). [hyper(115,a,13481,a(flip),b,4913,a)]. given #11537 (H,wt=13): 13488 (1 / x) \ K(y,z) = x * K(y,z). [hyper(115,a,13481,a(flip),b,3000,a)]. given #11538 (H,wt=13): 13494 K((x \ 1) \ y,z) = K(x * y,z). [para(3013(a,1),13482(a,1,1)),flip(a)]. given #11539 (H,wt=13): 13495 K((x \ 1) * y,z) = K(x \ y,z). [para(4914(a,1),13482(a,1,1))]. given #11540 (H,wt=13): 13498 K(x,(1 / y) * z) = K(x,y \ z). [para(3006(a,1),13483(a,1,2))]. given #11541 (H,wt=13): 13500 K(x,(y \ 1) \ z) = K(x,y * z). [para(3013(a,1),13483(a,1,2)),flip(a)]. given #11542 (H,wt=13): 13501 K(x,(y \ 1) * z) = K(x,y \ z). [para(4914(a,1),13483(a,1,2))]. given #11543 (H,wt=13): 13512 (x \ 1) * K(y,z) = x \ K(y,z). [para(4893(a,1),13487(a,1,1)),flip(a)]. given #11544 (H,wt=13): 13515 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7266,a,13488,a),flip(a)]. given #11545 (H,wt=13): 13519 (T(x,y) / z) \ x = z * K(y,x). [hyper(62,a,7268,a,b,13488,a)]. given #11546 (H,wt=13): 13520 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(62,a,6446,a,b,13488,a)]. given #11547 (H,wt=13): 13522 (x \ T(y,z)) \ (x \ y) = K(z,y). [hyper(115,a,7265,a(flip),b,13488,a(flip))]. given #11548 (H,wt=13): 13527 1 / (x * K(y,z)) = K(z,y) / x. [para(13488(a,1),6444(a,1,2))]. given #11549 (H,wt=13): 13534 K(x / (y \ 1),z) = K(x * y,z). [hyper(62,a,6435,a(flip),b,13494,a)]. given #11550 (H,wt=13): 13550 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(10(a,1),13495(a,1,1)),flip(a)]. given #11551 (H,wt=13): 13554 K(x,y * (z \ 1)) = K(x,y / z). [hyper(7039,a,13500,a),flip(a)]. given #11552 (H,wt=13): 13570 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(62,a,6402,a,b,13512,a)]. given #11553 (H,wt=13): 13580 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13512(a,1),6895(a,1,1))]. given #11554 (H,wt=13): 13587 x / (y * K(z,x)) = T(x,z) / y. [hyper(182,a,13519,a)]. given #11555 (H,wt=13): 13590 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(6439,a,13520,a),flip(a)]. given #11556 (H,wt=12): 13634 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(380,a,13590,a)]. given #11557 (H,wt=13): 13591 (x * K(y,z)) \ 1 = K(z,y) / x. [hyper(4906,a,13520,a)]. given #11558 (H,wt=13): 13604 K(x / (1 / y),z) = K(x * y,z). [hyper(62,a,5809,a(flip),b,13534,a)]. given #11559 (H,wt=13): 13605 K(x * (1 / y),z) = K(x / y,z). [para(76(a,1),13534(a,1,1,2)),flip(a)]. given #11560 (H,wt=13): 13606 K(x * (y \ 1),z) = K(x / y,z). [para(4893(a,1),13534(a,1,1,2)),flip(a)]. given #11561 (H,wt=13): 13612 K(x,y * (1 / z)) = K(x,y / z). [hyper(8998,a,13554,a)]. given #11562 (H,wt=13): 13620 (x \ K(y,z)) \ 1 = K(z,y) * x. [hyper(4906,a,13570,a)]. given #11563 (H,wt=13): 13621 K(x,y) * (1 / z) = K(x,y) / z. [hyper(38,a,6446,a,b,13570,a),flip(a)]. given #11564 (H,wt=13): 13633 T(x,y) / (z * K(x,y)) = x / z. [para(6883(a,1),13587(a,1,2)),flip(a)]. given #11565 (H,wt=13): 13636 K(x,y) * (z \ 1) = K(x,y) / z. [para(4893(a,1),13590(a,1,2)),flip(a)]. given #11566 (H,wt=13): 13649 K(x,y) * (K(y,x) / z) = z \ 1. [para(76(a,1),13620(a,1,1)),flip(a)]. given #11567 (H,wt=13): 13653 (x / y) * (y * K(x,z)) = T(x,z). [hyper(129,a,13633,a)]. given #11568 (H,wt=12): 13657 T(x,L(y,z,z \ x)) = T(x,y). [hyper(11861,a,13653,a)]. given #11569 (H,wt=13): 13659 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(115,a,13653,a(flip),b,11475,a)]. given #11570 (H,wt=12): 13661 L(x \ y,x,K(y,z)) = x \ y. [hyper(4747,a,13659,a)]. given #11571 (H,wt=10): 13665 a(K(x,y),z,z \ x) = 1. [hyper(52,a,13661,a)]. given #11572 (H,wt=10): 13668 a(K(x * y,z),x,y) = 1. [para(9(a,1),13665(a,1,3))]. given #11573 (H,wt=13): 13663 (K(x,y) \ z) \ T(y,x) = z \ y. [para(5839(a,2),13659(a,1,1))]. given #11574 (H,wt=13): 13664 (K(x,y) * z) \ y = z \ T(y,x). [para(5846(a,1),13659(a,1,1)),flip(a)]. given #11575 (H,wt=14): 13490 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(13481(a,1),11760(a,1,2)),flip(a)]. given #11576 (H,wt=12): 13671 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(4730,a,13490,a),flip(a)]. given #11577 (H,wt=12): 13676 T(x,L(y,z \ 1,z)) = T(x,y). [para(3011(a,1),13671(a,1,2))]. given #11578 (H,wt=13): 13674 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(62,a,4389,a(flip),b,13671,a)]. given #11579 (H,wt=13): 13677 T(x,(y \ 1) \ z) = T(x,y * z). [para(3013(a,1),13671(a,1,2)),flip(a)]. given #11580 (H,wt=13): 13684 T(x,y \ ((y \ 1) \ z)) = T(x,z). [para(10(a,1),13674(a,1,2)),flip(a)]. given #11581 (H,wt=14): 13503 K(x * y,L(z,x,y)) = K(x * y,z). [para(9(a,1),13496(a,1,2,3))]. given #11582 (H,wt=14): 13505 K(x * y,L(z,y,x)) = K(x * y,z). [para(9(a,1),13497(a,1,2,2))]. given #11583 (H,wt=14): 13660 T(x * y,L(z,x,y)) = T(x * y,z). [para(9(a,1),13657(a,1,2,3))]. given #11584 (H,wt=15): 13477 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(13475(a,2),4659(a,2,2)),flip(a)]. given #11585 (H,wt=15): 13484 K(x,((y \ 1) * z) \ 1) = K(x,z \ y). [hyper(9760,a,13481,a)]. given #11586 (H,wt=15): 13491 K(x,y) != z | K(x,L(y,u,u \ 1)) = z. [para(13481(a,1),11777(a,1))]. given #11587 (H,wt=15): 13506 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(11766,a,13499,a)]. given #11588 (H,wt=15): 13507 K(x,y * (z * (y \ 1))) = K(x,T(z,y)). [hyper(62,a,8631,a(flip),b,13499,a)]. given #11589 (H,wt=15): 13530 K(x \ (y \ 1),z) = K(y * x,z \ 1). [hyper(6802,a,13494,a)]. given #11590 (H,wt=15): 13542 x * (y * K(x * y,z)) = T(x * y,z). [para(13494(a,1),6799(a,1,2,2))]. given #11591 (H,wt=14): 13714 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11839,a,13542,a)]. given #11592 (H,wt=15): 13572 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. [hyper(62,a,6441,a(flip),b,13512,a),flip(a)]. given #11593 (H,wt=15): 13602 K((x \ 1) / y,z) = K(y * x,z \ 1). [hyper(6478,a,13534,a)]. given #11594 (H,wt=15): 13613 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(5671(a,1),13554(a,1,2)),flip(a)]. given #11595 (H,wt=15): 13632 T(x,y) / (z / T(y,x)) = x / (z / y). [para(6861(a,1),13587(a,1,2)),flip(a)]. given #11596 (H,wt=15): 13644 K(x * (1 / y),z) = z / T(z,x / y). [hyper(286,a,4617,a(flip),b,13605,a),flip(a)]. given #11597 (H,wt=13): 13718 T(x,y * (1 / z)) = T(x,y / z). [hyper(4677,a,13644,a)]. given #11598 (H,wt=13): 13719 T(x,y * (z \ 1)) = T(x,y / z). [hyper(6094,a,13718,a)]. given #11599 (H,wt=13): 13720 T(x,y / (1 / z)) = T(x,y * z). [hyper(62,a,4382,a(flip),b,13718,a),flip(a)]. given #11600 (H,wt=13): 13721 T(x,y / (z \ 1)) = T(x,y * z). [para(73(a,1),13718(a,1,2,2)),flip(a)]. given #11601 (H,wt=13): 13724 T(x,(y / (z \ 1)) / z) = T(x,y). [para(12(a,1),13719(a,1,2)),flip(a)]. given #11602 (H,wt=15): 13655 K(x,T(y,z)) * (z \ 1) = z \ K(x,y). [hyper(286,a,12179,a(flip),b,13636,a),flip(a)]. given #11603 (H,wt=15): 13669 (K(x,y) \ z) \ (y * x) = z \ (x * y). [hyper(62,a,13446,a(flip),b,13663,a)]. given #11604 (H,wt=15): 13672 T(x,L(y,z,z \ 1)) != u | T(x,y) = u. [para(13490(a,2),4663(a,1))]. given #11605 (H,wt=15): 13687 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [para(6394(a,1),13674(a,1,2))]. given #11606 (H,wt=15): 13698 K(x,1 / ((y \ 1) * z)) = K(x,z \ y). [hyper(6225,a,13484,a)]. given #11607 (H,wt=15): 13723 T(x,T(y \ z,z)) = T(x,z * (y \ 1)). [hyper(286,a,8334,a,b,13719,a)]. given #11608 (H,wt=15): 13730 (K(x,y) * z) \ (x * y) = z \ (y * x). [para(9(a,1),13669(a,1,1)),flip(a)]. given #11609 (H,wt=15): 13733 K(x,1 / ((1 / y) * z)) = K(x,z \ y). [hyper(6529,a,13698,a)]. given #11610 (H,wt=16): 13525 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(13488(a,1),535(a,1))]. given #11611 (H,wt=16): 13546 K(x * ((x \ 1) * y),z) != u | K(y,z) = u. [para(13494(a,1),7510(a,1))]. given #11612 (H,wt=16): 13549 K((x \ a(y,z,y)) * u,w) = K(x \ u,w). [hyper(62,a,13176,a,b,13495,a)]. given #11613 (H,wt=16): 13551 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(13495(a,1),8882(a,1))]. given #11614 (H,wt=16): 13552 K(x,y \ z) != u | K(x,(y \ 1) * z) = u. [para(13498(a,1),8885(a,1))]. given #11615 (H,wt=16): 13558 K(x,y * z) != u | K(x,y / (z \ 1)) = u. [para(13500(a,1),7038(a,1))]. given #11616 (H,wt=16): 13559 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(13500(a,1),7039(a,1))]. given #11617 (H,wt=16): 13560 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(13500(a,1),8621(a,1))]. given #11618 (H,wt=16): 13568 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13501(a,1),8886(a,1))]. given #11619 (H,wt=16): 13573 x \ K(y,z) != u * K(y,z) | x \ 1 = u. [para(13512(a,1),43(a,1))]. given #11620 (H,wt=16): 13581 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(13512(a,1),6902(a,1,1))]. given #11621 (H,wt=16): 13619 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(13554(a,1),8887(a,1))]. given #11622 (H,wt=16): 13647 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(13606(a,1),8883(a,1))]. given #11623 (H,wt=16): 13694 T(x * y,(x \ 1) \ y) != z | x * y = z. [para(13677(a,2),309(a,1))]. given #11624 (H,wt=16): 13695 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(13677(a,1),9811(a,1))]. given #11625 (H,wt=16): 13715 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13714(a,1),427(a,1,2)),flip(a)]. given #11626 (H,wt=16): 13722 T(x,y / z) != u | T(x,y * (z \ 1)) = u. [para(13718(a,1),6094(a,1))]. given #11627 (H,wt=16): 13738 K((1 / x) \ y,x) != z | K(x * y,x) = z. [para(3331(a,1),13551(a,1))]. given #11628 (H,wt=16): 13740 K(x \ y,z) != u | K((x \ 1) * y,z) = u. [para(4893(a,1),13551(a,1,1,1))]. given #11629 (H,wt=16): 13746 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(4885(a,1),13559(a,1,2,2))]. given #11630 (H,wt=16): 13760 K(x / y,z) != u | K(x * (y \ 1),z) = u. [para(4893(a,1),13647(a,1,1,2))]. given #11631 (H,wt=17): 13480 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(13475(a,1),11032(a,2,1))]. given #11632 (H,wt=13): 13769 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(7904,a,13480,a),flip(a)]. given #11633 (H,wt=8): 13771 K(a(x,y,z),y) = 1. [hyper(62,a,6699,a(flip),b,13769,a),flip(a)]. given #11634 (H,wt=15): 13770 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(286,a,13331,a,b,13769,a)]. given #11635 (H,wt=17): 13502 K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). [hyper(286,a,13483,a,b,13496,a)]. given #11636 (H,wt=15): 13775 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(13502(a,2),10625(a,1))]. given #11637 (H,wt=15): 13776 K(x,L(y,z \ 1,z)) != u | K(x,y) = u. [para(3011(a,1),13775(a,1,2))]. given #11638 (H,wt=15): 13777 K(L(x,y,y \ 1),z) != u | K(x,z) = u. [para(11780(a,2),13775(a,1))]. given #11639 (H,wt=16): 13778 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(4914(a,1),13777(a,1,1))]. given #11640 (H,wt=17): 13508 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(556(a,1),13499(a,1,2)),flip(a)]. given #11641 (H,wt=17): 13510 T(K(x,y) / (z \ 1),z \ 1) = z * K(x,y). [hyper(306,a,13487,a)]. given #11642 (H,wt=15): 13783 T(K(x,y) * z,z \ 1) = z * K(x,y). [para(13590(a,1),13510(a,1,1))]. given #11643 (H,wt=17): 13517 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(286,a,7117,a(flip),b,13488,a),flip(a)]. given #11644 (H,wt=17): 13532 K(x \ ((y \ 1) \ z),x) = K(y * (x \ z),x). [hyper(62,a,10582,a(flip),b,13494,a)]. given #11645 (H,wt=17): 13543 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13494(a,1),7010(a,1,1,2))]. given #11646 (H,wt=17): 13553 K(x,((y \ 1) * x) \ z) = K(x,y * (x \ z)). [hyper(9926,a,13500,a)]. given #11647 (H,wt=17): 13582 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(x,y)). [para(13512(a,1),8119(a,1,2))]. given #11648 (H,wt=17): 13584 x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). [hyper(286,a,279,a(flip),b,13515,a)]. given #11649 (H,wt=17): 13589 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(6937(a,1),13519(a,1,1)),flip(a)]. given #11650 (H,wt=17): 13599 (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). [para(22(a,2),13522(a,1,2))]. given #11651 (H,wt=17): 13635 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4695(a,2),13590(a,1,2)),flip(a)]. given #11652 (H,wt=17): 13652 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13621(a,1),7894(a,1,1))]. given #11653 (H,wt=17): 13680 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [para(556(a,1),13676(a,1,2)),flip(a)]. given #11654 (H,wt=17): 13701 K(x,y \ (T(z,y) \ 1)) = K(x,(y * z) \ 1). [hyper(12150,a,13506,a),flip(a)]. given #11655 (H,wt=17): 13756 K(x,y / (x * (z \ 1))) = K(x,(x \ y) * z). [hyper(13619,a,9717,a),flip(a)]. given #11656 (H,wt=17): 13782 K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). [para(4893(a,1),13508(a,1,2,1,1)),flip(a)]. given #11657 (H,wt=17): 13788 K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). [hyper(286,a,13506,a(flip),b,13701,a),flip(a)]. given #11658 (H,wt=18): 13474 K(x,a(y,z,u)) != w | K(x,x * a(y,z,u)) = w. [para(13471(a,1),9198(a,1))]. given #11659 (H,wt=18): 13478 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(13475(a,2),4663(a,1,2))]. given #11660 (H,wt=13): 13791 x * 1 != y | T(x,a(z,u,x)) = y. [para(422(a,1),13478(a,1,2))]. given #11661 (H,wt=8): 13792 T(x,a(y,z,x)) = x. [hyper(13791,a,8,a)]. given #11662 (H,wt=13): 13793 (x * a(y,z,x)) / x = a(y,z,x). [para(13792(a,1),174(a,1,2))]. given #11663 (H,wt=18): 13567 K(x,(y \ 1) * z) != u | K(x,(z \ y) \ 1) = u. [para(13501(a,2),6737(a,1))]. given #11664 (H,wt=18): 13639 L(L(x \ 1,y,z),x,K(u,w)) = L(x \ 1,y,z). [para(13634(a,1),30(a,1,1)),flip(a)]. given #11665 (H,wt=18): 13734 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(13730(a,1),8620(a,1,2))]. given #11666 (H,wt=18): 13749 K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. [para(6394(a,1),13560(a,1,2))]. given #11667 (H,wt=18): 13763 T(x,T((y \ 1) * z,x)) != u | T(x,y \ z) = u. [para(3913(a,2),13695(a,1))]. given #11668 (H,wt=18): 13768 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(13605(a,2),13760(a,1))]. given #11669 (H,wt=19): 13479 x \ (a(y,z,K(x,u)) \ w) = T(x,a(y,z,u)) \ w. [para(13475(a,2),5732(a,1,2,1))]. given #11670 (H,wt=19): 13513 (x * (y \ 1)) \ K(z,u) = (y * (x \ 1)) * K(z,u). [para(6403(a,1),13487(a,1,1))]. given #11671 (H,wt=19): 13514 ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). [para(6404(a,1),13487(a,1,1))]. given #11672 (H,wt=19): 13538 K((x * (y \ 1)) \ z,u) = K((y * (x \ 1)) * z,u). [para(6403(a,1),13494(a,1,1,1))]. given #11673 (H,wt=19): 13539 K(((x \ 1) * y) \ z,u) = K(((y \ 1) * x) * z,u). [para(6404(a,1),13494(a,1,1,1))]. given #11674 (H,wt=19): 13540 K(((x \ 1) \ y) \ z,u) = K(((y \ 1) / x) * z,u). [para(6425(a,1),13494(a,1,1,1))]. given #11675 (H,wt=19): 13547 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13494(a,1),10159(a,1,1,2))]. given #11676 (H,wt=19): 13555 K(x,(y * (z \ 1)) \ u) = K(x,(z * (y \ 1)) * u). [para(6403(a,1),13500(a,1,2,1))]. given #11677 (H,wt=19): 13556 K(x,(y / (z \ 1)) \ u) = K(x,(z \ (y \ 1)) * u). [para(6410(a,1),13500(a,1,2,1))]. given #11678 (H,wt=19): 13557 K(x,((y \ 1) \ z) \ u) = K(x,((z \ 1) / y) * u). [para(6425(a,1),13500(a,1,2,1))]. given #11679 (H,wt=19): 13561 (x * y) * K(z,x * y) = x * (y * K(z,x * y)). [para(13500(a,1),9963(a,1,2,2)),flip(a)]. given #11680 (H,wt=14): 13806 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(11836,a,13561,a)]. given #11681 (H,wt=14): 13809 K(L(x,y,z),z * y) = K(x,z * y). [hyper(11796,a,13806,a)]. given #11682 (H,wt=19): 13563 K((x \ y) \ y,z \ u) = K(x,T((z \ 1) * u,y)). [hyper(7986,a,13501,a),flip(a)]. given #11683 (H,wt=19): 13579 (x \ K(x,y)) * K(z,u) = K(x,y) * (x \ K(z,u)). [para(13512(a,1),6460(a,1,2)),flip(a)]. given #11684 (H,wt=19): 13592 ((K(x,y) / z) * u) \ 1 = (u \ 1) * (z * K(y,x)). [para(13520(a,1),6394(a,1,2)),flip(a)]. given #11685 (H,wt=19): 13593 (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). [para(13520(a,1),6403(a,1,1,2))]. given #11686 (H,wt=19): 13594 ((x * K(y,z)) * u) \ 1 = (u \ 1) * (K(z,y) / x). [para(13520(a,1),6404(a,1,1,1))]. given #11687 (H,wt=19): 13614 K(x,y / (z * (u \ 1))) = K(x,y * (u * (z \ 1))). [para(6403(a,1),13554(a,1,2,2)),flip(a)]. given #11688 (H,wt=17): 13813 K(x,y * (z * (x \ 1))) = K(x,(x \ y) * z). [hyper(62,a,13756,a(flip),b,13614,a),flip(a)]. given #11689 (H,wt=19): 13615 K(x,y / (z / (u \ 1))) = K(x,y * (u \ (z \ 1))). [para(6422(a,1),13554(a,1,2,2)),flip(a)]. given #11690 (H,wt=19): 13625 ((K(x,y) * z) * u) \ 1 = (u \ 1) * (z \ K(y,x)). [para(13570(a,1),6394(a,1,2)),flip(a)]. given #11691 (H,wt=19): 13626 (x \ (K(y,z) * u)) \ 1 = (u \ K(z,y)) / (x \ 1). [para(13570(a,1),6395(a,1,1)),flip(a)]. given #11692 (H,wt=19): 13627 (x * (y \ K(z,u))) \ 1 = (K(u,z) * y) * (x \ 1). [para(13570(a,1),6403(a,1,1,2))]. given #11693 (H,wt=19): 13628 (x / (y \ K(z,u))) \ 1 = (K(u,z) * y) \ (x \ 1). [para(13570(a,1),6422(a,1,1,2))]. given #11694 (H,wt=19): 13630 (K(x,y) * z) \ K(u,w) = (z \ K(y,x)) * K(u,w). [para(13570(a,1),13512(a,1,1)),flip(a)]. given #11695 (H,wt=19): 13631 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(13570(a,1),13554(a,1,2,2)),flip(a)]. given #11696 (H,wt=19): 13662 (K(x * K(y,x),y) * z) \ x = z \ (x * K(y,x)). [para(4635(a,1),13659(a,1,2))]. given #11697 (H,wt=15): 13823 (K(x,y) * z) \ x = z \ (x * K(y,x)). [para(4784(a,1),13662(a,1,1,1))]. given #11698 (H,wt=19): 13685 ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). [para(13674(a,1),108(a,1,2))]. given #11699 (H,wt=19): 13693 T(((x \ 1) \ y) \ 1,x * y) = ((x \ 1) \ y) \ 1. [hyper(4909,a,13677,a),flip(a)]. given #11700 (H,wt=17): 13827 T(((x \ 1) \ y) \ 1,x * y) = (y \ 1) / x. [hyper(286,a,6411,a(flip),b,13693,a),flip(a)]. given #11701 (H,wt=15): 13828 T((x \ 1) / y,y * x) = (x \ 1) / y. [para(6411(a,1),13827(a,1,1))]. given #11702 (H,wt=19): 13697 K(x * y,(x * y) \ z) = K(x * y,y \ (x \ z)). [para(268(a,1),13505(a,1,2))]. given #11703 (H,wt=19): 13717 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(110(a,1),13632(a,1,2,2))]. given #11704 (H,wt=19): 13725 T(x,y / (K(z,u) * w)) = T(x,y * (w \ K(u,z))). [para(13570(a,1),13719(a,1,2,2)),flip(a)]. given #11705 (H,wt=19): 13727 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,8597,a(flip),b,13720,a),flip(a)]. given #11706 (H,wt=17): 13833 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(62,a,6777,a(flip),b,13727,a),flip(a)]. given #11707 (H,wt=19): 13780 K((x \ a(y,z,y)) * u,w) != v5 | K(x \ u,w) = v5. [para(13176(a,2),13778(a,1))]. given #11708 (H,wt=19): 13784 T(K(x,y) * (z \ u),u \ z) = (z \ u) * K(x,y). [hyper(6747,a,13783,a)]. given #11709 (H,wt=19): 13789 K(x,T((y * z) \ 1,u)) = K(x,T(z \ (y \ 1),u)). [para(6394(a,1),13782(a,1,2,1))]. given #11710 (H,wt=19): 13821 K(x,(x \ y) * K(z,u)) = K(x,y * (x \ K(z,u))). [hyper(62,a,9726,a(flip),b,13631,a)]. given #11711 (H,wt=19): 13824 T(x,K(y,z)) \ (y * K(z,y)) = (x * K(y,z)) \ y. [para(108(a,1),13823(a,1,1)),flip(a)]. given #11712 (H,wt=19): 13829 ((x \ 1) / y) * (y * x) = (y * x) * ((x \ 1) / y). [para(13828(a,1),108(a,1,2)),flip(a)]. given #11713 (H,wt=19): 13830 x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. [para(13717(a,1),3973(a,1,2))]. given #11714 (H,wt=20): 13588 R(x \ 1,x,T(y,z)) \ y = (x * T(y,z)) * K(z,y). [para(4900(a,2),13519(a,1,1))]. given #11715 (H,wt=14): 13837 R(x \ 1,x,T(y,z)) \ y = x * y. [hyper(286,a,6610,a(flip),b,13588,a),flip(a)]. given #11716 (H,wt=20): 13607 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(13534(a,2),8109(a,1,2))]. given #11717 (H,wt=20): 13654 (x / y) * (y * K(x,z)) != u * w | u \ T(x,z) = w. [para(13633(a,1),297(a,1,1))]. given #11718 (H,wt=20): 13703 K(x \ y,z \ (u \ 1)) != w | K(y \ x,u * z) = w. [para(13506(a,1),6802(a,1))]. given #11719 (H,wt=20): 13704 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(13506(a,1),8384(a,1,2))]. given #11720 (H,wt=20): 13705 T(x,K(y,z \ (u \ 1))) != w | T(x,K(y,u * z)) = w. [para(13506(a,1),8411(a,1,2))]. given #11721 (H,wt=20): 13754 K(x,((y \ 1) * x) \ z) != u | K(x,y * (x \ z)) = u. [para(9252(a,2),13568(a,1))]. given #11722 (H,wt=20): 13810 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(13806(a,1),11792(a,1,1))]. given #11723 (H,wt=20): 13839 K(x,K(y,(z \ 1) \ u)) != w | K(x,K(y,z * u)) = w. [para(8399(a,1),13704(a,1))]. given #11724 (H,wt=20): 13840 T(x,K(y,(z \ 1) \ u)) != w | T(x,K(y,z * u)) = w. [para(8413(a,1),13705(a,1))]. given #11725 (H,wt=20): 13843 K(x,K(y,z / u)) != w | K(x,K(y,z * (u \ 1))) = w. [para(6437(a,1),13839(a,1,2))]. given #11726 (H,wt=20): 13844 T(x,K(y,z / u)) != w | T(x,K(y,z * (u \ 1))) = w. [para(6437(a,1),13840(a,1,2))]. given #11727 (H,wt=21): 13509 T(L(x,y \ 1,y),z) \ x = K(z,x) * a(y,y \ 1,x). [para(13499(a,1),5889(a,1,1)),flip(a)]. given #11728 (H,wt=21): 13537 K((x * K(y,x \ 1)) \ z,u) = K(T(x \ 1,y) * z,u). [para(5712(a,1),13494(a,1,1,1))]. given #11729 (H,wt=21): 13548 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(286,a,8964,a,b,13495,a),flip(a)]. given #11730 (H,wt=21): 13637 K(x,y) * (z * K(u,z \ 1)) = K(x,y) / T(z \ 1,u). [para(6606(a,1),13590(a,1,2)),flip(a)]. given #11731 (H,wt=21): 13645 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(286,a,8195,a,b,13606,a),flip(a)]. given #11732 (H,wt=21): 13648 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). [hyper(62,a,12138,a,b,13612,a)]. given #11733 (H,wt=21): 13651 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(4807(a,1),13621(a,1,2))]. given #11734 (H,wt=21): 13688 T(x,((y \ 1) * K(z,u)) * w) = T(x,(K(u,z) * y) \ w). [para(6402(a,1),13674(a,1,2,1))]. given #11735 (H,wt=21): 13702 K(L(x,y,z),u \ (w \ 1)) = K(x,L((w * u) \ 1,y,z)). [hyper(11807,a,13506,a),flip(a)]. given #11736 (H,wt=21): 13710 K(((x \ 1) \ y) * z,u \ 1) = K(z \ ((y \ 1) / x),u). [para(6411(a,1),13530(a,1,1,2)),flip(a)]. given #11737 (H,wt=21): 13711 K(((x \ 1) / y) * z,u \ 1) = K(z \ ((y \ 1) \ x),u). [para(6425(a,1),13530(a,1,1,2)),flip(a)]. given #11738 (H,wt=21): 13713 (K(x * y,z \ 1) * u) \ 1 = u \ K(z,y \ (x \ 1)). [para(13530(a,1),13570(a,1,1,1))]. given #11739 (H,wt=21): 13716 K(x * ((y \ 1) \ z),u \ 1) = K(((z \ 1) / y) / x,u). [para(6411(a,1),13602(a,1,1,1)),flip(a)]. given #11740 (H,wt=21): 13731 ((x * y) \ 1) * T(z,y \ (x \ 1)) = z * ((x * y) \ 1). [para(13687(a,1),108(a,1,2))]. given #11741 (H,wt=21): 13772 (x * a(y,z,K(u,x))) \ w = K(x,a(y,z,u)) * (x \ w). [para(13769(a,2),6004(a,1,1,2))]. given #11742 (H,wt=21): 13773 (x * a(y,z,K(u,w))) \ 1 = K(w,a(y,z,u)) * (x \ 1). [para(13769(a,2),6401(a,1,1,2))]. given #11743 (H,wt=21): 13787 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13652(a,1),11148(a,1,1))]. given #11744 (H,wt=21): 13811 K(x,y \ 1) * (x \ K(z,u)) = T(x \ 1,y) * K(z,u). [para(6464(a,1),13579(a,1,1)),flip(a)]. given #11745 (H,wt=21): 13822 K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). [para(5741(a,1),13631(a,1,2,2)),flip(a)]. given #11746 (H,wt=21): 13834 K(x \ y,T(z \ (u \ 1),w)) = K(y \ x,T(u * z,w)). [hyper(7975,a,13789,a),flip(a)]. given #11747 (H,wt=21): 13845 L(T(x,y),z \ 1,z) \ x = K(y,x) * a(z,z \ 1,x). [para(25(a,2),13509(a,1,1))]. given #11748 (H,wt=21): 13847 K(K(x,y \ 1) * (x \ z),u) = K(T(x \ 1,y) * z,u). [para(6467(a,1),13537(a,1,1))]. given #11749 (H,wt=21): 13850 K(x,L((y * z) \ 1,u,w)) = K(x,L(z \ (y \ 1),u,w)). [hyper(11807,a,13702,a),flip(a)]. given #11750 (H,wt=21): 13851 (x * K(x * y,z \ 1)) \ 1 = x \ K(z,x \ (y \ 1)). [para(12092(a,1),13713(a,1,1))]. given #11751 (H,wt=22): 13529 K(x * (y \ z),L(u,y \ z,y)) = K((y * (x \ 1)) \ z,u). [hyper(11763,a,13494,a),flip(a)]. given #11752 (H,wt=22): 13566 K(x,(y * ((z * y) \ 1)) * u) = K(x,R(z,y,y \ 1) \ u). [para(6412(a,1),13501(a,1,2,1))]. given #11753 (H,wt=22): 13616 K(x,y * (z * ((u * z) \ 1))) = K(x,y / R(u,z,z \ 1)). [para(6412(a,1),13554(a,1,2,2))]. given #11754 (H,wt=22): 13618 K(x,R(x,y,z) * (u \ 1)) != w | K(x,u \ R(x,y,z)) = w. [para(13554(a,2),8351(a,1))]. given #11755 (H,wt=22): 13656 K(x,y) * (((z * u) \ 1) * z) = K(x,y) / L(u,z,z \ 1). [para(6418(a,1),13636(a,1,2))]. given #11756 (H,wt=22): 13736 (K(x,y) * z) * K(u,w) != v5 | (z \ K(y,x)) \ K(u,w) = v5. [para(13620(a,1),13525(a,1,1))]. given #11757 (H,wt=22): 13741 K((x * (y \ 1)) \ z,u) != w | K((y * (x \ 1)) * z,u) = w. [para(6403(a,1),13551(a,1,1,1))]. given #11758 (H,wt=22): 13742 K(((x \ 1) \ y) \ z,u) != w | K(((y \ 1) / x) * z,u) = w. [para(6425(a,1),13551(a,1,1,1))]. given #11759 (H,wt=22): 13745 K((K(x,y) / z) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. [para(13591(a,1),13551(a,1,1,1))]. given #11760 (H,wt=22): 13751 K(x,(y * (z \ 1)) \ u) != w | K(x,(z * (y \ 1)) * u) = w. [para(6403(a,1),13568(a,1,2,1))]. given #11761 (H,wt=22): 13752 K(x,((y \ 1) * z) \ u) != w | K(x,((z \ 1) * y) * u) = w. [para(6404(a,1),13568(a,1,2,1))]. given #11762 (H,wt=17): 13864 K(x,((x \ 1) * y) * z) = K(x,y * (x \ z)). [hyper(13752,a,13553,a)]. given #11763 (H,wt=22): 13753 K(x,((y \ 1) \ z) \ u) != w | K(x,((z \ 1) / y) * u) = w. [para(6425(a,1),13568(a,1,2,1))]. given #11764 (H,wt=22): 13755 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11450(a,2),13568(a,1))]. given #11765 (H,wt=22): 13757 K(x,y / (z * (u \ 1))) != w | K(x,y * (u * (z \ 1))) = w. [para(6403(a,1),13619(a,1,2,2))]. given #11766 (H,wt=22): 13758 K(x,y / (z / (u \ 1))) != w | K(x,y * (u \ (z \ 1))) = w. [para(6410(a,1),13619(a,1,2,2))]. given #11767 (H,wt=22): 13759 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(13620(a,1),13619(a,1,2,2))]. given #11768 (H,wt=22): 13762 K(x / (K(y,z) * u),w) != v5 | K(x * (u \ K(z,y)),w) = v5. [para(13620(a,1),13647(a,1,1,2))]. given #11769 (H,wt=22): 13807 (x * y) * K(z,x * y) != u * (y * K(z,x * y)) | x = u. [para(13561(a,2),43(a,1))]. given #11770 (H,wt=22): 13858 K(x * (y \ z),L(u,y \ z,y)) = K((x * (y \ 1)) * z,u). [hyper(286,a,13538,a(flip),b,13529,a),flip(a)]. given #11771 (H,wt=23): 13489 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(y,z \ 1) \ 1. [para(13481(a,1),7132(a,1,1)),flip(a)]. given #11772 (H,wt=23): 13533 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,10226,a(flip),b,13494,a)]. given #11773 (H,wt=21): 13872 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(13551,a,13533,a),flip(a)]. given #11774 (H,wt=19): 13873 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(286,a,9590,a(flip),b,13872,a),flip(a)]. given #11775 (H,wt=20): 13874 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(62,a,12611,a,b,13873,a)]. given #11776 (H,wt=22): 13876 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13874(a,1),7478(a,1,1,1))]. given #11777 (H,wt=19): 13877 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(62,a,9613,a(flip),b,13876,a),flip(a)]. given #11778 (H,wt=23): 13565 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,T(y \ z,y) \ u). [hyper(62,a,13135,a,b,13501,a)]. given #11779 (H,wt=23): 13583 (L(T(x,y),z \ 1,z) \ x) * K(x,y) = a(z,z \ 1,T(x,y)). [hyper(286,a,713,a(flip),b,13515,a),flip(a)]. given #11780 (H,wt=23): 13678 K(T(x,y) * L(y,z,z \ 1),u) = K(L(y,z,z \ 1) * x,u). [para(13671(a,1),12126(a,1,1,1))]. given #11781 (H,wt=23): 13689 ((x \ 1) * y) * K(z,T(u,x \ y)) = K(z,u) * ((x \ 1) * y). [para(13674(a,1),7736(a,1,2,2))]. given #11782 (H,wt=23): 13690 K(x,T(y,z \ u)) * ((z \ 1) * u) = ((z \ 1) * u) * K(x,y). [para(13674(a,1),8146(a,1,1,2))]. given #11783 (H,wt=23): 13692 T(x,((y \ 1) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(13047(a,2),13674(a,1,2))]. given #11784 (H,wt=21): 13882 T(x,y \ (a(z,u,z) * w)) = T(x,(y \ a(z,u,z)) * w). [para(12987(a,1),13692(a,1,2,1)),flip(a)]. given #11785 (H,wt=16): 13883 T(x,(y \ a(z,u,z)) * w) = T(x,y \ w). [hyper(13138,a,13882,a),flip(a)]. given #11786 (H,wt=23): 13696 K(x * y,T((y * x) \ z,u)) = K(x * y,T(x \ (y \ z),u)). [para(505(a,1),13503(a,1,2))]. given #11787 (H,wt=23): 13728 K((x / (y \ 1)) * z,T(u,x * y)) = K(z * (x / (y \ 1)),u). [para(13721(a,1),12087(a,1,2))]. given #11788 (H,wt=23): 13803 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(34,a,4577,a(flip),b,13547,a),flip(a)]. given #11789 (H,wt=19): 13886 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10656(a,1),13803(a,1,2))]. given #11790 (H,wt=15): 13887 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),13886(a,1,2,1))]. given #11791 (H,wt=17): 13889 (x \ (y * z)) / T(y,z) = (x \ (z * y)) / y. [hyper(116,a,13887,a(flip),b,6822,a)]. given #11792 (H,wt=18): 13891 ((x * y) / z) \ (y * x) != u | z * K(y,x) = u. [para(13887(a,1),571(a,1))]. given #11793 (H,wt=20): 13890 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(171(a,1),13887(a,1,1)),flip(a)]. given #11794 (H,wt=18): 13894 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(286,a,6811,a(flip),b,13890,a),flip(a)]. given #11795 (H,wt=18): 13895 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(182,a,13894,a),flip(a)]. given #11796 (H,wt=22): 13893 (x \ (y * z)) * K(z,y) != u * w | (x \ (z * y)) / w = u. [para(13887(a,1),6910(a,1,1))]. given #11797 (H,wt=23): 13804 K(x \ 1,(x \ 1) \ (y \ z)) = K(x \ 1,(x * (y \ 1)) * z). [hyper(10627,a,13555,a)]. given #11798 (H,wt=23): 13814 K(x,y * (L(z,u,w) * (z \ 1))) = K(x,y / (L(z,u,w) \ z)). [para(1237(a,1),13614(a,1,2,2)),flip(a)]. given #11799 (H,wt=23): 13816 K(x \ 1,(K(y,z) * u) * w) = K(x,(w \ 1) * (u \ K(z,y))). [para(13625(a,1),6458(a,2,2))]. given #11800 (H,wt=23): 13852 T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u * ((y * z) \ 1)). [para(13731(a,1),13674(a,1,2)),flip(a)]. given #11801 (H,wt=21): 13897 T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u / (y * z)). [hyper(286,a,13719,a(flip),b,13852,a),flip(a)]. given #11802 (H,wt=19): 13898 T(x,(y * z) \ T(z,z \ (y \ 1))) = T(x,y \ 1). [hyper(286,a,4139,a(flip),b,13897,a),flip(a)]. given #11803 (H,wt=23): 13869 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z \ 1,y) * 1. [hyper(286,a,5839,a(flip),b,13489,a),flip(a)]. given #11804 (H,wt=23): 13879 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(12(a,1),13877(a,1,3,2)),flip(a)]. given #11805 (H,wt=23): 13880 (K(x,y) * a(z,z \ 1,y)) * K(y,x) = a(z,z \ 1,T(y,x)). [para(13845(a,1),13583(a,1,1))]. given #11806 (H,wt=19): 13901 T(a(x,x \ 1,y),K(z,y)) = a(x,x \ 1,T(y,z)). [hyper(8245,a,13880,a)]. given #11807 (H,wt=15): 13902 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(62,a,10761,a(flip),b,13901,a),flip(a)]. given #11808 (H,wt=17): 13904 a(x,x \ 1,y \ z) = a(x,x \ 1,z / y). [para(110(a,1),13902(a,1,3))]. given #11809 (H,wt=23): 13896 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,((x * (y \ 1)) * z) \ 1). [hyper(286,a,6458,a(flip),b,13804,a),flip(a)]. given #11810 (H,wt=23): 13899 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z,y \ 1) * 1. [hyper(286,a,6462,a(flip),b,13869,a),flip(a)]. given #11811 (H,wt=23): 13905 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(z \ 1) * (y * (x \ 1))). [para(6416(a,1),13896(a,2,2))]. given #11812 (H,wt=21): 13907 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(x \ (z \ 1)) * y). [hyper(286,a,13813,a(flip),b,13905,a),flip(a)]. given #11813 (H,wt=19): 13908 K(x \ 1,x * (y \ z)) = K(x,(x \ (z \ 1)) * y). [hyper(13568,a,13907,a)]. given #11814 (H,wt=19): 13909 K(x,(x * (y \ z)) \ 1) = K(x,(x \ (z \ 1)) * y). [hyper(6476,a,13908,a)]. given #11815 (H,wt=19): 13910 K(x,x \ ((y \ z) \ 1)) = K(x,(x \ (z \ 1)) * y). [hyper(10650,a,13909,a)]. given #11816 (H,wt=24): 13531 K((x / y) * z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). [hyper(62,a,11835,a(flip),b,13494,a),flip(a)]. given #11817 (H,wt=22): 13912 K((x / y) * z,L(u,z,y \ 1)) = K(x * ((y \ 1) * z),u). [hyper(286,a,13494,a(flip),b,13531,a),flip(a)]. given #11818 (H,wt=24): 13571 x \ K(y,L(z,u,u \ (x \ 1))) = ((x \ 1) / u) * (u * K(y,z)). [hyper(62,a,11852,a(flip),b,13512,a),flip(a)]. given #11819 (H,wt=24): 13712 K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (((y * x) \ 1) * y),u). [para(6418(a,1),13530(a,1,1,2)),flip(a)]. given #11820 (H,wt=24): 13735 (K(x,y) * (z \ 1)) * K(u,w) != v5 | (z * K(y,x)) \ K(u,w) = v5. [para(6401(a,1),13525(a,1,1))]. given #11821 (H,wt=24): 13764 T(x,(K(y,z) * (u \ 1)) * w) != v5 | T(x,(u * K(z,y)) \ w) = v5. [para(6401(a,1),13695(a,1,2,1))]. given #11822 (H,wt=24): 13796 K((x * (y \ 1)) * z,u \ 1) != w | K(z \ (y * (x \ 1)),u) = w. [para(13538(a,1),6802(a,1))]. given #11823 (H,wt=24): 13863 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(u,z) * (y \ 1)) * w) = v5. [para(4781(a,1),13751(a,1,2,1,2))]. given #11824 (H,wt=24): 13868 K((K(x,y) * z) / u,w) != v5 | K(u * (z \ K(y,x)),w \ 1) = v5. [para(6457(a,1),13762(a,1))]. given #11825 (H,wt=25): 13595 (x \ 1) \ ((K(y,z) / u) * (w \ 1)) = ((w * (u * K(z,y))) / x) \ 1. [para(13520(a,1),6436(a,1,1,1,2)),flip(a)]. given #11826 (H,wt=25): 13617 K(x,y * (((z \ 1) * u) * (w \ 1))) = K(x,y / (w * ((u \ 1) * z))). [para(6419(a,1),13554(a,1,2,2))]. given #11827 (H,wt=25): 13629 (x \ 1) * ((y \ 1) \ (K(z,u) * w)) = (((w \ K(u,z)) / y) * x) \ 1. [para(13570(a,1),6426(a,1,1,1,1)),flip(a)]. given #11828 (H,wt=25): 13643 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(13604(a,1),10290(a,2,2))]. given #11829 (H,wt=21): 13916 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9011(a,1),13643(a,2,2))]. given #11830 (H,wt=19): 13917 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(286,a,2288,a(flip),b,13916,a),flip(a)]. given #11831 (H,wt=25): 13646 K(x * (((y \ 1) * z) * (u \ 1)),w) = K(x / (u * ((z \ 1) * y)),w). [para(6419(a,1),13606(a,1,1,2))]. given #11832 (H,wt=25): 13747 K(x,y * (z * ((u * z) \ 1))) != w | K(x,y / R(u,z,z \ 1)) = w. [para(6412(a,1),13559(a,1,2,2))]. given #11833 (H,wt=25): 13750 K(x,(y * ((z * y) \ 1)) * u) != w | K(x,R(z,y,y \ 1) \ u) = w. [para(6412(a,1),13560(a,1,2,1))]. given #11834 (H,wt=25): 13781 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(62,a,12746,a(flip),b,13508,a)]. given #11835 (H,wt=23): 13919 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(64(a,1),13781(a,1,2)),flip(a)]. given #11836 (H,wt=23): 13920 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(286,a,5991,a(flip),b,13919,a),flip(a)]. given #11837 (H,wt=19): 13921 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(286,a,10849,a(flip),b,13920,a),flip(a)]. given #11838 (H,wt=19): 13923 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(286,a,9653,a,b,13921,a),flip(a)]. given #11839 (H,wt=19): 13924 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),13923(a,1,2,1,1,1)),flip(a)]. given #11840 (H,wt=17): 13925 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9858,a,13924,a),flip(a)]. given #11841 (H,wt=17): 13926 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12141,a,13925,a)]. given #11842 (H,wt=17): 13927 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(62,a,10177,a(flip),b,13925,a)]. given #11843 (H,wt=17): 13929 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),13927(a,1,2,1,1)),flip(a)]. given #11844 (H,wt=19): 13928 K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). [hyper(62,a,12220,a(flip),b,13926,a)]. given #11845 (H,wt=25): 13798 K(((x * K(y,z)) * (u \ 1)) * w,v5) = K((u * (K(z,y) / x)) \ w,v5). [para(13591(a,1),13538(a,1,1,1,2)),flip(a)]. given #11846 (H,wt=25): 13799 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((K(z,T(y,u)) * x) \ w,v5). [para(7782(a,1),13539(a,1,1,1,1)),flip(a)]. given #11847 (H,wt=25): 13800 K(x,K(y,((z \ 1) * u) * w)) * x = T(x,K(((u \ 1) * z) \ w,y)). [para(13539(a,2),8095(a,2,2))]. given #11848 (H,wt=25): 13801 K(((x \ 1) * (K(y,z) / u)) * w,v5) = K(((u * K(z,y)) * x) \ w,v5). [para(13520(a,1),13539(a,1,1,1,1)),flip(a)]. given #11849 (H,wt=25): 13802 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((K(u,z) * y) * x) \ w,v5). [para(13620(a,1),13539(a,1,1,1,1)),flip(a)]. given #11850 (H,wt=25): 13808 x * ((y / x) * K(z,x * (y / x))) = (x * (y / x)) * K(z,T(y,x)). [para(12081(a,1),13561(a,1,2)),flip(a)]. given #11851 (H,wt=21): 13932 (x * (y / x)) * K(z,T(y,x)) = x * (K(z,y) * (y / x)). [para(12073(a,1),13808(a,1,2)),flip(a)]. given #11852 (H,wt=25): 13812 T(x,y * ((z \ 1) * (K(u,w) / v5))) = T(x,y / ((v5 * K(w,u)) * z)). [para(13594(a,1),13719(a,1,2,2))]. given #11853 (H,wt=25): 13815 K(x,T((y / (z \ 1)) \ u,y / (z \ 1))) = K(x,u * (z \ (y \ 1))). [hyper(62,a,8169,a,b,13615,a)]. given #11854 (H,wt=23): 13934 K(x,T((y / (z \ 1)) \ u,y * z)) = K(x,u * (z \ (y \ 1))). [para(13721(a,1),13815(a,1,2))]. given #11855 (H,wt=25): 13817 K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x / ((K(w,u) * z) * y),v5). [para(13625(a,1),13606(a,1,1,2))]. given #11856 (H,wt=25): 13836 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13830(a,1),2609(a,1,1))]. given #11857 (H,wt=25): 13856 K(K(x,y) * z,T(u \ (w \ 1),v5)) = K(z \ K(y,x),T(w * u,v5)). [para(5839(a,1),13834(a,1,1))]. given #11858 (H,wt=25): 13859 K((x * (y \ 1)) \ z,u) != w | L(K(y * (x \ z),u),x \ z,x) = w. [para(13529(a,1),11734(a,1))]. given #11859 (H,wt=25): 13862 K(x * (y \ z),L(u,y \ z,y)) != w | K((x * (y \ 1)) * z,u) = w. [para(13529(a,2),13741(a,1))]. given #11860 (H,wt=25): 13913 K((x / y) * z,L(u,z,y \ 1)) != w | K(x * ((y \ 1) * z),u) = w. [para(13531(a,2),13551(a,1))]. given #11861 (H,wt=25): 13918 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(73(a,1),13917(a,1,1))]. given #11862 (H,wt=21): 13936 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(73(a,1),13918(a,1,2,1)),flip(a)]. given #11863 (H,wt=19): 13937 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5896(a,1),13936(a,1,1))]. given #11864 (H,wt=26): 13603 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) * u,z). [hyper(62,a,11877,a,b,13534,a)]. given #11865 (H,wt=26): 13679 K(T(x,y) * L(y,z,z \ 1),u) != w | K(L(y,z,z \ 1) * x,u) = w. [para(13671(a,1),12127(a,1,1,1))]. given #11866 (H,wt=26): 13743 K(L(x \ 1,y,z \ 1) \ u,w) != v5 | K(R(x,y \ 1,z) * u,w) = v5. [para(6676(a,2),13551(a,1,1,1))]. given #11867 (H,wt=26): 13744 K(R(x \ 1,y,z \ 1) \ u,w) != v5 | K(L(x,y \ 1,z) * u,w) = v5. [para(6681(a,2),13551(a,1,1,1))]. given #11868 (H,wt=26): 13767 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8146(a,1),13715(a,2,1,2)),flip(a)]. given #11869 (H,wt=26): 13779 K(K(x,y) * (((x \ y) \ 1) * z),u) != w | K(T(x \ y,x) \ z,u) = w. [para(13164(a,2),13778(a,1))]. given #11870 (H,wt=26): 13826 K(x,y) * ((z \ 1) * u) != w | ((z \ 1) * u) * K(x,T(y,z \ u)) = w. [para(13685(a,1),8515(a,1))]. given #11871 (H,wt=26): 13841 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(115,a,13810,a(flip),b,11380,a)]. given #11872 (H,wt=26): 13853 T(x,y * ((z * u) \ 1)) != w | T(x,(z * u) \ T(y,u \ (z \ 1))) = w. [para(13731(a,1),13695(a,1,2))]. given #11873 (H,wt=26): 13857 K(x \ y,L(x \ (z \ 1),x,z)) = K((z * y) / (z * x),(z * x) \ 1). [hyper(11937,a,13850,a),flip(a)]. given #11874 (H,wt=23): 13940 K((x * y) / (x * z),(x * z) \ 1) = K(z \ y,(x * z) \ 1). [para(268(a,1),13857(a,1,2)),flip(a)]. given #11875 (H,wt=21): 13941 K((x * y) / (x * z),(x * z) \ 1) = K(y \ z,x * z). [hyper(286,a,6787,a(flip),b,13940,a),flip(a)]. given #11876 (H,wt=21): 13942 K((x * y) / (x * z),z \ (x \ 1)) = K(y \ z,x * z). [hyper(13749,a,13941,a)]. given #11877 (H,wt=17): 13943 K((x * y) \ y,x * y) = K(x,y \ (x \ 1)). [para(11(a,1),13942(a,1,1)),flip(a)]. given #11878 (H,wt=19): 13944 ((x * y) \ y) * (x * y) = y * K(x,y \ (x \ 1)). [para(13943(a,1),271(a,1,2)),flip(a)]. given #11879 (H,wt=26): 13860 (x * K(R(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). [hyper(286,a,6895,a,b,13566,a)]. given #11880 (H,wt=26): 13866 K(x,y / (L(z,u,w) \ z)) != v5 | K(x,y * (L(z,u,w) * (z \ 1))) = v5. [para(1237(a,1),13757(a,1,2,2))]. given #11881 (H,wt=26): 13911 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,(x \ (z \ 1)) * y). [hyper(62,a,9219,a,b,13910,a)]. given #11882 (H,wt=26): 13946 ((x * y) \ y) * (x * y) != z * u | z \ (y * K(x,y \ (x \ 1))) = u. [para(13944(a,2),513(a,1))]. given #11883 (H,wt=27): 13706 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),x \ (y \ 1)). [para(13506(a,1),12209(a,2,2))]. given #11884 (H,wt=27): 13805 K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y / (z \ 1))). [hyper(7005,a,13556,a)]. given #11885 (H,wt=25): 13948 K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y * z)). [para(13721(a,1),13805(a,2,2,2))]. given #11886 (H,wt=23): 13949 K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u / (z / (y \ 1))). [hyper(13153,a,13948,a),flip(a)]. given #11887 (H,wt=23): 13950 K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u * (y \ (z \ 1))). [hyper(286,a,13615,a(flip),b,13949,a),flip(a)]. given #11888 (H,wt=27): 13831 T(x,y / T(K(z,u) * w,y)) = T(x,T(y,K(z,u) * w) * (w \ K(u,z))). [para(3926(a,1),13725(a,1,2))]. given #11889 (H,wt=27): 13842 K(x,y * z) * (y * (z * x)) != u * w | u \ (L(x,z,y) * (y * z)) = w. [para(13810(a,2),513(a,1))]. given #11890 (H,wt=27): 13930 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,9816,a,b,13929,a)]. given #11891 (H,wt=23): 13953 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(62,a,9817,a(flip),b,13930,a),flip(a)]. given #11892 (H,wt=23): 13954 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7981,a,13953,a)]. given #11893 (H,wt=21): 13956 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(62,a,10547,a(flip),b,13954,a),flip(a)]. given #11894 (H,wt=23): 13958 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(108(a,1),13956(a,1,2,1,1,2)),flip(a)]. given #11895 (H,wt=26): 13959 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(286,a,9861,a(flip),b,13958,a),flip(a)]. given #11896 (H,wt=24): 13960 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(12174,a,13959,a)]. given #11897 (H,wt=20): 13961 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(4884(a,1),13960(a,2,2,1,1,2))]. given #11898 (H,wt=18): 13962 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(286,a,12397,a(flip),b,13961,a)]. given #11899 (H,wt=26): 13963 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13962(a,2),7241(a,1,1))]. given #11900 (H,wt=24): 13964 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(62,a,7245,a(flip),b,13963,a)]. given #11901 (H,wt=27): 13931 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13928(a,2),7241(a,1,1))]. given #11902 (H,wt=25): 13965 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). [hyper(62,a,7241,a(flip),b,13931,a)]. given #11903 (H,wt=25): 13966 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(286,a,13428,a(flip),b,13965,a),flip(a)]. given #11904 (H,wt=21): 13967 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(73(a,1),13966(a,2,2,2))]. given #11905 (H,wt=20): 13968 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(62,a,13964,a,b,13967,a)]. given #11906 (H,wt=20): 13970 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12930(a,1),13968(a,1,1))]. given #11907 (H,wt=20): 13971 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12939,a,13970,a)]. given #11908 (H,wt=20): 13972 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(286,a,12930,a(flip),b,13971,a),flip(a)]. given #11909 (H,wt=19): 13973 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(62,a,12951,a(flip),b,13972,a),flip(a)]. given #11910 (H,wt=17): 13975 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,13433,a(flip),b,13973,a),flip(a)]. given #11911 (H,wt=19): 13976 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13975(a,2),4667(a,2,1)),flip(a)]. given #11912 (H,wt=17): 13977 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4668,a,13976,a)]. given #11913 (H,wt=23): 13978 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(286,a,12973,a,b,13977,a)]. given #11914 (H,wt=18): 13979 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(62,a,8013,a(flip),b,13978,a)]. given #11915 (H,wt=21): 13980 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(62,a,12952,a,b,13979,a)]. given #11916 (H,wt=27): 13935 K(x \ K(y,z),T(K(u,w) * v5,v6)) = K(K(z,y) * x,T(v5 \ K(w,u),v6)). [para(4781(a,1),13856(a,1,2,1,2)),flip(a)]. given #11917 (H,wt=27): 13947 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,T(x \ (y \ 1),y)). [hyper(286,a,7788,a(flip),b,13706,a),flip(a)]. given #11918 (H,wt=25): 13983 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,1 / (y * x)). [para(10665(a,1),13947(a,2,2))]. given #11919 (H,wt=25): 13984 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,(y * x) \ 1). [para(3318(a,2),13983(a,2,2))]. given #11920 (H,wt=25): 13985 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,x \ (y \ 1)). [para(10568(a,1),13984(a,2,2))]. given #11921 (H,wt=27): 13951 K(x,((y / z) \ 1) * T(u,y * (z \ 1))) = K(x,u * ((z \ 1) \ (y \ 1))). [para(6431(a,1),13950(a,1,2,1))]. given #11922 (H,wt=28): 13708 K(x,(y \ R(y,z,u)) * (w * (R(y,z,u) \ y))) = K(x,T(w,y \ R(y,z,u))). [para(6203(a,1),13507(a,1,2,2,2))]. given #11923 (H,wt=21): 13986 K(x,T(y,z \ R(z,u,z))) = K(x,y * (R(z,u,z) \ z)). [hyper(62,a,13085,a(flip),b,13708,a),flip(a)]. given #11924 (H,wt=14): 13987 K(x,y * (R(z,u,z) \ z)) = K(x,y). [para(10959(a,1),13986(a,1,2)),flip(a)]. given #11925 (H,wt=28): 13709 K(L(x,y,(z \ 1) / (y * x)),u) = K(z * (((z \ 1) / (y * x)) * y),u \ 1). [para(97(a,2),13530(a,1,1))]. given #11926 (H,wt=28): 13818 K(x,T(y,(K(z,u) * w) * (v5 \ 1))) != v6 | K(x,T(y,v5 * (w \ K(u,z)))) = v6. [para(13627(a,1),8478(a,1,2,2))]. given #11927 (H,wt=28): 13819 K(x,((K(y,z) * u) * (w \ 1)) * v5) != v6 | K(x,(w * (u \ K(z,y))) \ v5) = v6. [para(13627(a,1),13560(a,1,2,1))]. given #11928 (H,wt=28): 13835 ((((x \ 1) / y) * y) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [hyper(62,a,172,a,b,13829,a)]. given #11929 (H,wt=24): 13989 ((x \ 1) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [para(12(a,1),13835(a,1,1,1))]. given #11930 (H,wt=20): 13991 1 / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [para(4888(a,1),13989(a,1,1))]. given #11931 (H,wt=28): 13867 K(x,y / (z / (K(u,w) * v5))) != v6 | K(x,y * ((v5 \ K(w,u)) \ (z \ 1))) = v6. [para(13620(a,1),13758(a,1,2,2,2))]. given #11932 (H,wt=28): 13988 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(x \ 1) / (y * z))). [hyper(11807,a,13709,a),flip(a)]. given #11933 (H,wt=29): 13761 K(x \ y,L(T(z,u),x,x \ (u \ 1))) != w | K((((u \ 1) / x) * y) * u,z) = w. [para(11877(a,2),13647(a,1))]. given #11934 (H,wt=29): 13820 T(x,K(y,z \ ((K(u,w) * v5) \ (v6 \ 1)))) = T(x,K(y,(v6 / (v5 \ K(w,u))) * z)). [para(13628(a,1),11885(a,1,2,2,2))]. given #11935 (H,wt=29): 13906 ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)) * 1. [para(13506(a,1),13899(a,2,1))]. given #11936 (H,wt=27): 13993 ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)). [hyper(286,a,8,a(flip),b,13906,a),flip(a)]. given #11937 (H,wt=29): 13945 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = K(z,(x * y) \ y) * (x * y). [hyper(115,a,13944,a(flip),b,5745,a)]. given #11938 (H,wt=29): 13994 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,y / (x * y)). [hyper(286,a,8197,a(flip),b,13945,a),flip(a)]. given #11939 (H,wt=27): 13995 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,x \ 1). [para(5968(a,1),13994(a,2,2))]. given #11940 (H,wt=27): 13996 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = x * (y * K(z,x \ 1)). [hyper(286,a,9563,a(flip),b,13995,a),flip(a)]. given #11941 (H,wt=30): 13786 T(x \ 1,K(y,z)) * K(x \ K(z,y),u) != w | K(y,z) * T(x \ K(z,y),u) = w. [para(13582(a,1),6868(a,1,1))]. given #11942 (H,wt=31): 13608 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y * T(x,y),x \ 1) * (y \ z). [para(13534(a,1),11597(a,2,1))]. given #11943 (H,wt=29): 13999 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(x * y,x \ 1) * (y \ z). [para(108(a,1),13608(a,2,1,1))]. given #11944 (H,wt=23): 14000 (x * K(y,y \ (x \ 1))) \ z = K(y * x,y \ 1) * (x \ z). [para(13985(a,1),13999(a,1,1))]. given #11945 (H,wt=23): 14001 x \ (K(x * y,y \ 1) * z) = K(y * x,y \ 1) * (x \ z). [hyper(62,a,11461,a(flip),b,14000,a)]. given #11946 (H,wt=31): 13790 K(x,((y \ z) \ u) \ (((y * u) \ z) \ 1)) = K(x,((y * u) \ z) \ (((y \ z) \ u) \ 1)). [para(6752(a,1),13788(a,1,2,2,1))]. given #11947 (H,wt=31): 13871 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(K(z,u \ 1) * x,w \ 1). [para(13489(a,2),13530(a,1,1,2))]. given #11948 (H,wt=31): 13900 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13879(a,1),10970(a,2,2))]. given #11949 (H,wt=29): 14002 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(286,a,1033,a(flip),b,13900,a),flip(a)]. given #11950 (H,wt=27): 14003 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(286,a,1609,a(flip),b,14002,a),flip(a)]. given #11951 (H,wt=27): 14004 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(11234(a,2),14003(a,2,1,2))]. given #11952 (H,wt=23): 14005 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(286,a,10991,a(flip),b,14004,a),flip(a)]. given #11953 (H,wt=23): 14006 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(4885(a,2),14005(a,1,1,3))]. given #11954 (H,wt=21): 14007 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(62,a,11640,a(flip),b,14006,a)]. given #11955 (H,wt=31): 13915 K(x,T(y,(z \ 1) * ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). [para(13629(a,2),8423(a,1,2,2))]. given #11956 (H,wt=29): 14008 K(x,T(y,z \ ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). [para(13674(a,1),13915(a,1,2))]. given #11957 (H,wt=31): 13998 K(x,(x \ T((y * x) \ x,z)) \ K(y,x \ (y \ 1))) = K(x,y * (x * K(z,y \ 1))). [para(13996(a,1),9261(a,2,2))]. given #11958 (H,wt=32): 13865 K(x \ K(y,z * (y \ u)),((y \ 1) * z) * u) != w | K(x,(((y \ 1) * z) * u) \ 1) = w. [para(13864(a,1),9024(a,1,1,2))]. given #11959 (H,wt=33): 13861 ((K(x,y) * ((z * u) \ 1)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). [hyper(62,a,172,a,b,13656,a)]. given #11960 (H,wt=31): 14009 ((K(x,y) / (z * u)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). [para(13636(a,1),13861(a,1,1,1))]. given #11961 (H,wt=33): 13914 K(x,y) * (((y \ 1) / z) * (z * K(u,w))) != v5 | T(y,x) \ K(u,L(w,z,z \ (y \ 1))) = v5. [para(13571(a,1),5747(a,1,2))]. given #11962 (H,wt=33): 13938 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13937(a,2),2044(a,1,2))]. given #11963 (H,wt=29): 14010 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(62,a,12064,a(flip),b,13938,a)]. given #11964 (H,wt=29): 14011 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2603(a,1),14010(a,2,1))]. given #11965 (H,wt=25): 14012 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(286,a,76,a(flip),b,14011,a),flip(a)]. given #11966 (H,wt=19): 14014 x \ (x / ((y / x) \ 1)) = (x / ((x \ y) \ 1)) / x. [hyper(62,a,13836,a(flip),b,14012,a)]. given #11967 (H,wt=19): 14015 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(131,a,14014,a)]. given #11968 (H,wt=34): 13448 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,11620,a(flip),b,13420,a)]. given #11969 (H,wt=26): 14016 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5846(a,1),13448(a,1,2)),flip(a)]. given #11970 (H,wt=18): 14017 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(286,a,5846,a(flip),b,14016,a),flip(a)]. given #11971 (H,wt=34): 13794 ((K(x,L(y,z,z \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). [para(11852(a,1),13514(a,1,1)),flip(a)]. given #11972 (H,wt=32): 14020 (K(x,L(y,z,z \ (u \ 1))) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(y,x))) \ K(w,v5). [para(11785(a,1),13794(a,1,1,1))]. given #11973 (H,wt=34): 13832 K(x,(y / (K(z,u) * w)) \ T(v5,y * (w \ K(u,z)))) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. [para(13725(a,1),13155(a,1,2,2))]. given #11974 (H,wt=34): 13848 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13548(a,1),11617(a,1,1))]. given #11975 (H,wt=32): 14021 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(6143(a,1),13848(a,1,2))]. given #11976 (H,wt=28): 14022 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8486(a,1),14021(a,1,2))]. given #11977 (H,wt=24): 14023 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(286,a,14007,a(flip),b,14022,a),flip(a)]. given #11978 (H,wt=35): 13785 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(13517(a,1),7123(a,2,1))]. given #11979 (H,wt=31): 14024 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3064(a,1),13785(a,1,2))]. given #11980 (H,wt=25): 14026 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5786(a,1),14024(a,1,2)),flip(a)]. given #11981 (H,wt=21): 14027 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(286,a,11648,a(flip),b,14026,a),flip(a)]. given #11982 (H,wt=34): 14029 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((T(z,x) \ 1) * z). [para(14027(a,1),12748(a,2,2))]. given #11983 (H,wt=34): 14030 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(y,1 / y) * ((T(z,x) \ 1) * z). [hyper(286,a,5839,a(flip),b,14029,a),flip(a)]. given #11984 (H,wt=35): 13797 K((x * (K(y,z) \ 1)) \ (K(z,T(y,x \ 1)) * u),w) = K(((x \ 1) * K(y,z)) * (K(z,y) * u),w). [para(11415(a,1),13538(a,2,1))]. given #11985 (H,wt=33): 14032 K((x * K(y,z)) \ (K(y,T(z,x \ 1)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). [para(4781(a,1),13797(a,1,1,1,2))]. given #11986 (H,wt=31): 14033 K((x * K(y,z)) \ (K(y,T(z,x)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). [para(8423(a,1),14032(a,1,1,2,1))]. given #11987 (H,wt=35): 13939 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13937(a,2),10831(a,1,1,1,2,1))]. given #11988 (H,wt=33): 14034 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13520(a,1),13939(a,1,1,1,2))]. given #11989 (H,wt=31): 14035 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13589(a,1),14034(a,1,1,1,2))]. given #11990 (H,wt=27): 14036 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(6015(a,1),14035(a,1,1,1)),flip(a)]. given #11991 (H,wt=27): 14037 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2603(a,1),14036(a,1,2,2,1))]. given #11992 (H,wt=23): 14038 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(76(a,1),14037(a,1,2,2))]. given #11993 (H,wt=19): 14040 ((x / (x / y)) / x) \ 1 = x / (x / ((y / x) \ 1)). [para(14015(a,1),14038(a,1,2)),flip(a)]. given #11994 (H,wt=19): 14041 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(182,a,14040,a)]. given #11995 (H,wt=36): 12965 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). [para(12422(a,1),12962(a,1,2,2)),flip(a)]. given #11996 (H,wt=34): 14042 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). [hyper(10730,a,12965,a)]. given #11997 (H,wt=34): 14043 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(v5,v5 \ 1) / a(z,u,y),x). [hyper(62,a,13248,a(flip),b,14042,a)]. given #11998 (H,wt=29): 14044 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(v5,v5 \ 1) / a(w,u,y),x). [para(18(a,2),14043(a,1,2,2))]. given #11999 (H,wt=29): 14045 a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,(w \ L(w,u,z)) * K(v5,v5 \ 1),x). [para(4569(a,1),14044(a,1,2)),flip(a)]. given #12000 (H,wt=23): 14046 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(286,a,9346,a(flip),b,14045,a)]. given #12001 (H,wt=19): 14047 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(4919(a,1),14046(a,2,2)),flip(a)]. given #12002 (H,wt=36): 13198 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(13197(a,2),6657(a,1,1,2,2))]. given #12003 (H,wt=26): 14049 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(10(a,1),13198(a,1,1,2,2,1)),flip(a)]. given #12004 (H,wt=20): 14050 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(286,a,6640,a(flip),b,14049,a),flip(a)]. given #12005 (H,wt=18): 14054 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(10056(a,1),14050(a,1,2,1)),flip(a)]. given #12006 (H,wt=21): 14052 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9190(a,1),14050(a,1,2,1,2))]. given #12007 (H,wt=21): 14053 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(9200(a,1),14050(a,1,2,1,2))]. given #12008 (H,wt=36): 13933 (x * (K(y,z) * (z / x))) / (x * (z / x)) != u | K(y,T(z,x)) * K(x * (z / x),K(y,T(z,x))) = u. [para(13932(a,1),4706(a,1,1))]. given #12009 (H,wt=37): 13389 L(x,y,K(K(z,u) * w,(w * K(z,u)) * (K(u,z) * v5))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). [para(11415(a,1),13378(a,1,3,2))]. given #12010 (H,wt=37): 13597 K(x,K(y,(K(z,u) / w) * v5)) * K(x,y * (v5 \ (w * K(u,z)))) = K(x,(v5 \ ((K(z,u) / w) \ 1)) * y). [para(13520(a,1),12193(a,1,2,2,2,2))]. given #12011 (H,wt=37): 13854 (x * ((y * z) \ 1)) * T(u,(y * z) \ T(x,z \ (y \ 1))) = u * (((y * z) \ 1) * T(x,z \ (y \ 1))). [para(13731(a,1),13685(a,1,1))]. given #12012 (H,wt=29): 14055 x * (((y * z) \ 1) * T(z,z \ (y \ 1))) = (z * ((y * z) \ 1)) * T(x,y \ 1). [para(13898(a,1),13854(a,1,2)),flip(a)]. given #12013 (H,wt=23): 14056 (x * ((y * x) \ 1)) * T(z,y \ 1) = z * (x * ((y * x) \ 1)). [para(13731(a,1),14055(a,1,2)),flip(a)]. given #12014 (H,wt=27): 14057 T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u * (y * ((z * y) \ 1))). [hyper(33,a,12069,a(flip),b,14056,a),flip(a)]. given #12015 (H,wt=26): 14058 T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u / R(z,y,y \ 1)). [hyper(286,a,13616,a(flip),b,14057,a),flip(a)]. given #12016 (H,wt=38): 13732 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,y \ (x \ 1)). [para(13687(a,1),930(a,2,2))]. given #12017 (H,wt=32): 14059 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). [para(4904(a,1),13732(a,2,2))]. given #12018 (H,wt=22): 14060 ((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y) = (x \ 1) \ y. [hyper(34,a,7519,a,b,14059,a),flip(a)]. given #12019 (H,wt=38): 13795 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / (z * K(y,x))) * z) \ K(w,v5). [para(11973(a,1),13514(a,1,1)),flip(a)]. given #12020 (H,wt=39): 13885 K(x,K((y / (z \ 1)) * u,T((u * (y / (z \ 1))) \ w,y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13728(a,2),13131(a,1,2,1))]. given #12021 (H,wt=39): 13952 K(x,(K(y,z) \ ((u / (z * y)) \ 1)) * T(w,u / (T(z,y) * y))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). [para(10835(a,1),13950(a,1,2,2,2))]. given #12022 (H,wt=39): 14061 K(x,K((y / (z \ 1)) * u,T((y / (z \ 1)) \ (u \ w),y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13696(a,1),13885(a,1,2,1))]. given #12023 (H,wt=35): 14063 K(x,K((y / (z \ 1)) * u,(u \ w) * (z \ (y \ 1))) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13934(a,1),14061(a,1,2,1))]. given #12024 (H,wt=39): 14062 K(x,(K(y,z) * ((u / (y * z)) \ 1)) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(5839(a,1),13952(a,1,2,1))]. given #12025 (H,wt=37): 14064 K(x,(K(y,z) / (u / (y * z))) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(13636(a,1),14062(a,1,2,1))]. given #12026 (H,wt=42): 13982 L(T(x,R(y / T(1 / (1 / z),u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(6113(a,2),13979(a,2,2,1))]. given #12027 (H,wt=38): 14065 L(T(x,R(y / T(z,u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(4884(a,1),13982(a,1,1,2,1,2,1))]. given #12028 (H,wt=36): 14066 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(10533(a,1),14065(a,1,1))]. given #12029 (H,wt=32): 14067 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(4884(a,1),14066(a,1,2,2,1)),flip(a)]. given #12030 (H,wt=30): 14068 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(286,a,10684,a(flip),b,14067,a),flip(a)]. given #12031 (H,wt=27): 14070 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(286,a,13979,a(flip),b,14068,a),flip(a)]. given #12032 (H,wt=23): 14071 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),14070(a,2,2,1))]. given #12033 (H,wt=23): 14072 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3138(a,1),14071(a,1,2,1))]. given #12034 (H,wt=43): 13849 K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(4118(a,2),13648(a,1,1))]. given #12035 (H,wt=35): 14073 K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(176(a,1),13849(a,1,2,1))]. given #12036 (H,wt=35): 14074 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). [hyper(7981,a,14073,a),flip(a)]. given #12037 (H,wt=35): 14076 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). [hyper(286,a,12140,a(flip),b,14074,a),flip(a)]. given #12038 (H,wt=44): 14031 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(286,a,7349,a(flip),b,14030,a),flip(a)]. given #12039 (H,wt=34): 14077 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(4352(a,1),14031(a,1,2,2,2))]. given #12040 (H,wt=34): 14079 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(5839(a,1),14077(a,1,2,2))]. given #12041 (H,wt=46): 13003 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(12999(a,1),9210(a,1,1))]. given #12042 (H,wt=46): 14080 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(10552(a,2),13003(a,1,1))]. given #12043 (H,wt=48): 13438 (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(13437(a,1),4923(a,1,2,2))]. given #12044 (H,wt=46): 14082 (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(10336(a,1),13438(a,1,2))]. given #12045 (H,wt=44): 14083 (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(9915(a,1),14082(a,1,2))]. given #12046 (H,wt=29): 14084 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14017(a,1),14083(a,1,2)),flip(a)]. given #12047 (H,wt=25): 14085 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(4893(a,1),14084(a,1,1,1))]. given #12048 (H,wt=23): 14086 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13437(a,1),14085(a,1,1)),flip(a)]. given #12049 (H,wt=40): 14087 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(14086(a,1),9108(a,1,1))]. given #12050 (H,wt=38): 14088 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(9061(a,1),14087(a,1,2))]. given #12051 (H,wt=38): 14089 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,10294,a,b,14088,a)]. given #12052 (H,wt=36): 14090 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(4643(a,1),14089(a,1,2))]. given #12053 (H,wt=25): 14091 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(11629,a,14090,a)]. given #12054 (H,wt=51): 13881 K(x,T(y,(K(z,u) / w) \ (K(z,u) * v5))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). [para(12185(a,1),13690(a,1,1,2,2))]. given #12055 (H,wt=57): 9972 (((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(9698(a,1),7013(a,1,2,1))]. given #12056 (H,wt=57): 14093 (((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(6163(a,1),9972(a,1,1,1))]. given #12057 (H,wt=55): 14094 (((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(14091(a,1),14093(a,1,1))]. given #12058 (H,wt=47): 14095 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(6500(a,1),14094(a,1,1,1)),flip(a)]. given #12059 (H,wt=43): 14096 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(4883(a,1),14095(a,2,2,2,1))]. given #12060 (H,wt=43): 14097 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(6343(a,2),14096(a,2,2))]. given #12061 (H,wt=41): 14098 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(9747(a,1),14097(a,2,2))]. given #12062 (H,wt=37): 14099 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),14098(a,2,2,1))]. given #12063 (H,wt=35): 14100 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(286,a,6811,a(flip),b,14099,a),flip(a)]. given #12064 (H,wt=33): 14102 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(286,a,11908,a(flip),b,14100,a),flip(a)]. given #12065 (H,wt=33): 14103 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6163(a,1),14102(a,1,1,1))]. given #12066 (H,wt=31): 14104 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14091(a,1),14103(a,1,1))]. given #12067 (H,wt=23): 14105 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6500(a,1),14104(a,1,1,1))]. given #12068 (H,wt=19): 14106 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(62,a,4383,a(flip),b,14105,a)]. given #12069 (H,wt=19): 14107 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(3989(a,1),14106(a,2,1))]. given #12070 (H,wt=29): 14108 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13319(a,1),14107(a,2,2))]. given #12071 (H,wt=25): 14109 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13319(a,1),14108(a,1,1,1))]. given #12072 (H,wt=58): 14048 (((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(14047(a,1),10475(a,1,1,2))]. given #12073 (H,wt=56): 14110 (((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(1736(a,1),14048(a,2,1))]. given #12074 (H,wt=38): 14111 (((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(286,a,12985,a(flip),b,14110,a),flip(a)]. given #12075 (H,wt=36): 14113 ((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(10978(a,1),14111(a,1,1))]. given #12076 (H,wt=25): 14114 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(62,a,11014,a(flip),b,14113,a)]. given #12077 (H,wt=17): 14115 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(62,a,13350,a(flip),b,14114,a),flip(a)]. given #12078 (H,wt=17): 14116 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(14115(a,2),12456(a,1,1))]. given #12079 (H,wt=17): 14118 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5979,a,14116,a)]. given #12080 (H,wt=21): 14117 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(14115(a,2),12458(a,1,1))]. given #12081 (H,wt=21): 14120 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5979,a,14117,a)]. given #12082 (H,wt=35): 14119 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(4391(a,2),14118(a,1,1))]. given #12083 (H,wt=35): 14121 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(4885(a,2),14119(a,1,2,1,3,2,2))]. given #12084 (H,wt=25): 14122 T(x,L(y * (z * (u \ 1)),w,v5)) = T(x,L(y * (z * (1 / u)),w,v5)). [hyper(62,a,14118,a(flip),b,14121,a)]. given #12085 (H,wt=65): 10398 (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(6530,a,10397,a)]. given #12086 (H,wt=61): 14123 (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(4893(a,1),10398(a,1,2,1,2,2,2,2,1))]. given #12087 (H,wt=61): 14124 (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(8056(a,1),14123(a,1,2,1))]. given #12088 (H,wt=59): 14125 (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(8596(a,1),14124(a,1,2,1,2))]. given #12089 (H,wt=54): 14126 (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(7902(a,1),14125(a,1,2,1,2))]. given #12090 (H,wt=52): 14128 (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(8375(a,1),14126(a,1,2,1))]. given #12091 (H,wt=48): 14129 (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(4893(a,1),14128(a,1,2,2,1,2,1,2,2,2,1))]. given #12092 (H,wt=48): 14130 (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(8032(a,1),14129(a,1,2,2,1,2))]. given #12093 (H,wt=46): 14131 (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(10403(a,1),14130(a,1,2,2,1,2,2))]. given #12094 (H,wt=41): 14132 (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(7786(a,1),14131(a,1,2,2,1,2,2))]. given #12095 (H,wt=39): 14134 (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(8371(a,1),14132(a,1,2,2,1,2))]. given #12096 (H,wt=39): 14135 (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(4735(a,2),14134(a,1,2,2,1))]. given #12097 (H,wt=39): 14136 (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(8623(a,2),14135(a,1,2))]. given #12098 (H,wt=35): 14137 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,8563,a(flip),b,14136,a)]. given #12099 (H,wt=33): 14138 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(1328(a,1),14137(a,1,2)),flip(a)]. given #12100 (H,wt=31): 14139 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(286,a,8101,a(flip),b,14138,a),flip(a)]. given #12101 (H,wt=25): 14140 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1821(a,1),14139(a,1,1)),flip(a)]. given #12102 (H,wt=29): 14141 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,12620,a,b,14140,a)]. given #12103 (H,wt=23): 14142 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1821(a,1),14141(a,1,1))]. given #12104 (H,wt=30): 14143 (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(14142(a,1),12728(a,1,2))]. given #12105 (H,wt=23): 14144 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12729,a,14143,a),flip(a)]. given #12106 (H,wt=23): 14145 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(286,a,8060,a,b,14144,a),flip(a)]. given #12107 (H,wt=23): 14146 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(62,a,11658,a(flip),b,14145,a)]. given #12108 (H,wt=23): 14147 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(286,a,8056,a,b,14146,a),flip(a)]. given #12109 (H,wt=23): 14148 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11659,a,14147,a)]. given #12110 (H,wt=31): 14149 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,12311,a,b,14148,a)]. given #12111 (H,wt=29): 14150 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(286,a,13336,a(flip),b,14149,a),flip(a)]. given #12112 (H,wt=23): 14151 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8687,a,14150,a)]. given #12113 (H,wt=23): 14153 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(8712,a,14151,a)]. given #12114 (H,wt=26): 14152 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14150(a,1),8687(a,1))]. given #12115 (H,wt=39): 14154 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,12796,a,b,14153,a)]. given #12116 (H,wt=29): 14155 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9997,a,14154,a)]. given #12117 (H,wt=23): 14156 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,13370,a(flip),b,14155,a)]. given #12118 (H,wt=21): 14157 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9452(a,1),14156(a,1,1)),flip(a)]. given #12119 (H,wt=12): 14158 K(x,K(y * z,a(y,z,u))) = 1. [hyper(286,a,11132,a(flip),b,14157,a),flip(a)]. given #12120 (H,wt=14): 14159 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14152,a,14158,a)]. given #12121 (H,wt=22): 14162 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(14159(a,1),10203(a,1,2)),flip(a)]. given #12122 (H,wt=20): 14163 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(286,a,8,a(flip),b,14162,a),flip(a)]. given #12123 (H,wt=23): 14165 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(62,a,9881,a,b,14163,a)]. given #12124 (H,wt=23): 14166 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13357(a,2),14165(a,1,1))]. given #12125 (H,wt=23): 14167 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13283,a,b,14166,a)]. given #12126 (H,wt=15): 14168 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13285,a(flip),b,14167,a)]. given #12127 (H,wt=17): 14169 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(286,a,13472,a,b,14168,a)]. given #12128 (H,wt=15): 14171 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(286,a,12946,a(flip),b,14169,a),flip(a)]. given #12129 (H,wt=13): 14172 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(62,a,13340,a(flip),b,14171,a),flip(a)]. given #12130 (H,wt=8): 14173 a(x,x,K(y,z)) = 1. [hyper(62,a,6049,a(flip),b,14172,a),flip(a)]. given #12131 (H,wt=10): 14175 a(x * y,x,K(y,z)) = 1. [hyper(62,a,11823,a(flip),b,14173,a)]. given #12132 (H,wt=25): 14174 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14172(a,1),12667(a,1,1,2))]. given #12133 (H,wt=13): 14176 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(62,a,12600,a(flip),b,14174,a),flip(a)]. given #12134 (H,wt=13): 14178 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(62,a,14172,a(flip),b,14176,a),flip(a)]. given #12135 (H,wt=13): 14187 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(286,a,13475,a(flip),b,14178,a),flip(a)]. given #12136 (H,wt=13): 14192 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(62,a,13475,a(flip),b,14178,a),flip(a)]. given #12137 (H,wt=11): 14221 a(x,y,K(x,z)) != u | 1 = u. [para(14192(a,2),12866(a,1))]. given #12138 (H,wt=14): 14207 a(x,y,K(z,a(u,x,w))) = a(z,y,1). [para(13771(a,1),14178(a,1,3)),flip(a)]. given #12139 (H,wt=11): 14223 a(x,y,K(z,a(u,x,w))) = 1. [hyper(286,a,418,a(flip),b,14207,a),flip(a)]. given #12140 (H,wt=11): 14225 K(a(x,y,z),a(u,w,y)) = 1. [hyper(62,a,14192,a(flip),b,14223,a)]. given #12141 (H,wt=14): 14226 T(a(x,y,z),a(u,w,y)) = a(x,y,z). [hyper(55,a,14225,a)]. given #12142 (H,wt=15): 14190 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(62,a,12000,a,b,14178,a)]. given #12143 (H,wt=15): 14191 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(62,a,11826,a,b,14178,a)]. given #12144 (H,wt=15): 14193 a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). [hyper(62,a,12000,a(flip),b,14178,a),flip(a)]. given #12145 (H,wt=15): 14206 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(14178(a,2),13477(a,1,2))]. given #12146 (H,wt=15): 14210 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(286,a,13334,a,b,14187,a)]. given #12147 (H,wt=15): 14227 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(2932(a,1),14190(a,1,3)),flip(a)]. given #12148 (H,wt=15): 14228 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,14178,a(flip),b,14191,a)]. given #12149 (H,wt=16): 14180 a(x,y,K(z,L(u,x,w))) = a(K(x,u),y,z). [para(10600(a,1),14176(a,1,1)),flip(a)]. given #12150 (H,wt=16): 14230 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(14191(a,1),11856(a,1))]. given #12151 (H,wt=16): 14236 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(13475(a,1),14230(a,1))]. given #12152 (H,wt=16): 14237 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(14172(a,2),14230(a,1))]. given #12153 (H,wt=16): 14238 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(14178(a,1),14230(a,1))]. given #12154 (H,wt=16): 14248 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(14176(a,2),14238(a,1))]. given #12155 (H,wt=17): 14184 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11824,a,14178,a)]. given #12156 (H,wt=17): 14185 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11819,a,14178,a)]. given #12157 (H,wt=17): 14186 (x * a(y,z,K(u,w))) \ x = a(w,z,K(u,y)). [hyper(286,a,12599,a,b,14178,a)]. given #12158 (H,wt=17): 14188 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(286,a,12001,a(flip),b,14178,a),flip(a)]. given #12159 (H,wt=17): 14189 a(x \ y,z,K(u,w)) = a(u,z,K(y \ x,w)). [hyper(62,a,12001,a,b,14178,a),flip(a)]. given #12160 (H,wt=17): 14194 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(57,a,14178,a)]. given #12161 (H,wt=17): 14195 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8057(a,1),14178(a,1,3))]. given #12162 (H,wt=17): 14196 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(14178(a,2),10241(a,1,2))]. given #12163 (H,wt=17): 14197 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(14178(a,2),11032(a,1,1))]. given #12164 (H,wt=17): 14198 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(14178(a,1),11746(a,1,2))]. given #12165 (H,wt=17): 14199 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(14178(a,2),11746(a,1,2))]. given #12166 (H,wt=17): 14200 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(14178(a,1),11814(a,1,1))]. given #12167 (H,wt=17): 14201 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(14178(a,2),11814(a,1,1))]. given #12168 (H,wt=17): 14204 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [para(14178(a,2),12598(a,1,2))]. given #12169 (H,wt=17): 14209 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(14178(a,1),14115(a,2,2))]. given #12170 (H,wt=17): 14211 a(x \ 1,y,K(z,u)) = K(x,a(u,y,z) \ 1). [hyper(286,a,6458,a(flip),b,14187,a),flip(a)]. given #12171 (H,wt=15): 14275 K(x,a(y,z,u) \ 1) = a(u,z,K(x,y)). [hyper(62,a,14227,a(flip),b,14211,a),flip(a)]. given #12172 (H,wt=15): 14276 K(x,y \ L(y,z,u)) = a(y,z,K(x,u)). [hyper(62,a,13344,a(flip),b,14275,a)]. given #12173 (H,wt=17): 14215 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14187(a,1),13475(a,2,2))]. given #12174 (H,wt=17): 14222 a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). [para(14192(a,1),13475(a,2,2))]. given #12175 (H,wt=17): 14229 a(x \ y,x,K(z,u)) = a(z,y,K(u,x \ y)). [para(10(a,1),14191(a,1,2)),flip(a)]. given #12176 (H,wt=17): 14231 K(L(x,y,z) \ x,u \ 1) = a(x,y,K(z,u)). [hyper(62,a,13770,a,b,14193,a)]. given #12177 (H,wt=15): 14279 K(x \ L(x,y,z),u) = a(x,y,K(z,u)). [hyper(6802,a,14231,a)]. given #12178 (H,wt=12): 14281 K(x \ L(x,y,y \ 1),z) = 1. [hyper(286,a,6852,a(flip),b,14279,a),flip(a)]. given #12179 (H,wt=17): 14257 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8031(a,1),14195(a,2,3)),flip(a)]. given #12180 (H,wt=17): 14258 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8060(a,1),14195(a,2,3))]. given #12181 (H,wt=17): 14268 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(286,a,11732,a,b,14200,a),flip(a)]. given #12182 (H,wt=17): 14278 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8056(a,1),14215(a,1,3))]. given #12183 (H,wt=17): 14286 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(62,a,14195,a(flip),b,14278,a)]. given #12184 (H,wt=18): 14208 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(14178(a,2),13478(a,1,2))]. given #12185 (H,wt=18): 14239 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(14190(a,2),14230(a,1))]. given #12186 (H,wt=18): 14240 a(x,y,K(z,u)) != w | a(x,y,K(u \ 1,z)) = w. [para(14193(a,1),14230(a,1))]. given #12187 (H,wt=18): 14246 a(x,y,K(z \ 1,u)) != w | a(z,y,K(x,u)) = w. [para(12000(a,2),14238(a,1))]. given #12188 (H,wt=18): 14249 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(14171(a,2),14248(a,1))]. given #12189 (H,wt=18): 14287 a(x,y,K(z,u \ 1)) != w | a(z,y,K(x,u)) = w. [para(14178(a,1),14239(a,1))]. given #12190 (H,wt=19): 14181 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),w,K(v5,u)). [para(13769(a,2),14176(a,1,1))]. given #12191 (H,wt=19): 14216 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(14187(a,2),13515(a,1,2))]. given #12192 (H,wt=19): 14219 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(14187(a,2),14176(a,1,1))]. given #12193 (H,wt=19): 14220 (x * y) * a(z,u,K(w,y)) = x * T(y,a(w,u,z)). [para(14192(a,2),6811(a,1,2))]. given #12194 (H,wt=19): 14234 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ 1)). [para(14227(a,1),11746(a,1,2))]. given #12195 (H,wt=19): 14243 a(x,y,K(z,L(u,x,w))) != v5 | a(x,y,K(z,u)) = v5. [para(14180(a,2),14237(a,1))]. given #12196 (H,wt=19): 14260 x \ (a(y,z,K(x,u)) * w) = T(x,a(u,z,y)) \ w. [para(14197(a,1),13479(a,1,2))]. given #12197 (H,wt=19): 14263 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). [para(12000(a,1),14198(a,1,2))]. given #12198 (H,wt=17): 14293 K(x,L(y,L(z,u,w),z \ 1)) = K(x,y) * 1. [para(11321(a,1),14263(a,1,2)),flip(a)]. given #12199 (H,wt=15): 14295 K(x,L(y,L(z,u,w),z \ 1)) = K(x,y). [hyper(286,a,8,a(flip),b,14293,a),flip(a)]. given #12200 (H,wt=19): 14265 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,z \ 1)). [para(14190(a,1),14198(a,1,2))]. given #12201 (H,wt=19): 14290 a(a(x,y,z),u,K(w,v5)) = a(x,u,K(w,a(v5,y,z))). [hyper(62,a,14181,a(flip),b,14219,a)]. given #12202 (H,wt=19): 14291 a(x,y,K(z,u)) * (z \ w) = T(z,a(u,y,x)) \ w. [hyper(37,a,967,a(flip),b,14260,a),flip(a)]. given #12203 (H,wt=19): 14296 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,1 / z)). [para(3498(a,1),14265(a,2,2))]. given #12204 (H,wt=19): 14297 a(a(x,y,z),u,K(w,v5)) = a(x,u,a(w,y,K(z,v5))). [para(14187(a,2),14290(a,2,3))]. given #12205 (H,wt=20): 14177 a(K(x,y),a(x,y,x) \ z,u) = a(x,z,K(u,x * y)). [hyper(62,a,13352,a,b,14176,a)]. given #12206 (H,wt=15): 14299 a(x,y,K(z,x * u)) = a(K(x,u),y,z). [hyper(62,a,13290,a(flip),b,14177,a),flip(a)]. given #12207 (H,wt=15): 14301 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(286,a,14176,a(flip),b,14299,a),flip(a)]. given #12208 (H,wt=18): 14302 a(x,y,K(z,x * u)) != w | a(x,y,K(z,u)) = w. [para(14299(a,2),14237(a,1))]. given #12209 (H,wt=19): 14303 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,x * u)). [para(14301(a,1),14201(a,1,1))]. given #12210 (H,wt=15): 14304 K(x,L(y,z,y * u)) = K(x,L(y,z,u)). [hyper(62,a,14201,a(flip),b,14303,a),flip(a)]. given #12211 (H,wt=15): 14305 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [para(10(a,1),14304(a,1,2,3)),flip(a)]. given #12212 (H,wt=20): 14202 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(14178(a,1),11806(a,1,2))]. given #12213 (H,wt=20): 14205 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(14178(a,2),12601(a,1,2))]. given #12214 (H,wt=20): 14212 (x * a(y,z,u)) / x = a(y,z,u) * a(x,z,K(u,y)). [para(14187(a,2),4636(a,2,2))]. given #12215 (H,wt=20): 14244 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(11768(a,2),14238(a,1))]. given #12216 (H,wt=20): 14247 a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. [para(12001(a,1),14238(a,1))]. given #12217 (H,wt=20): 14251 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(14185(a,1),6909(a,1,1))]. given #12218 (H,wt=20): 14253 a(x \ y,z,K(u,w)) != v5 | a(u,z,K(y \ x,w)) = v5. [para(14188(a,2),14230(a,1))]. given #12219 (H,wt=20): 14254 a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. [para(14188(a,1),14238(a,1))]. given #12220 (H,wt=20): 14256 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. [para(14189(a,1),14230(a,1))]. given #12221 (H,wt=20): 14266 K(x,L(y,z,u)) != K(x,y) * w | a(y,z,K(x,u)) = w. [para(14199(a,1),42(a,1))]. given #12222 (H,wt=20): 14267 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(14199(a,2),11734(a,1))]. given #12223 (H,wt=20): 14274 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(14204(a,1),12601(a,1))]. given #12224 (H,wt=20): 14284 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14268(a,1),43(a,1))]. given #12225 (H,wt=20): 14288 a(x,y,K(z \ u,u)) != w | a(x,y,K(z \ 1,u)) = w. [para(11999(a,2),14240(a,1))]. given #12226 (H,wt=20): 14308 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(12598(a,1),14205(a,1))]. given #12227 (H,wt=20): 14311 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(14178(a,1),14251(a,1,1))]. given #12228 (H,wt=20): 14312 L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. [para(14196(a,1),14274(a,1))]. given #12229 (H,wt=21): 14182 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(14176(a,1),13980(a,1,2))]. given #12230 (H,wt=21): 14213 (x * y) * a(x,z,K(u,w)) = x * (y * K(x,a(w,z,u))). [para(14187(a,2),7648(a,1,2))]. given #12231 (H,wt=21): 14217 (x * a(y,z,K(u,x))) \ w = a(x,z,K(u,y)) * (x \ w). [para(14187(a,2),13772(a,2,1))]. given #12232 (H,wt=21): 14218 (x * a(y,z,K(u,w))) \ 1 = a(w,z,K(u,y)) * (x \ 1). [para(14187(a,2),13773(a,2,1))]. given #12233 (H,wt=21): 14232 T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,y / z)). [para(13554(a,1),14206(a,1,2,3)),flip(a)]. given #12234 (H,wt=21): 14252 a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,z \ (y \ x))). [para(10568(a,1),14188(a,2,3))]. given #12235 (H,wt=19): 14316 a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,y \ x)). [hyper(286,a,11997,a(flip),b,14252,a),flip(a)]. given #12236 (H,wt=21): 14261 K(x,y) * a(x,z,K(u,y \ 1)) = K(x,L(y,z,u \ 1)). [para(6458(a,1),14198(a,1,2,3))]. given #12237 (H,wt=21): 14262 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(8076(a,1),14198(a,1,2,3))]. given #12238 (H,wt=21): 14269 a(x,y \ z,K(y,u)) * K(x,u) = K(x,L(u,z / y,y)). [hyper(286,a,11795,a(flip),b,14200,a),flip(a)]. given #12239 (H,wt=20): 14320 K(x,L(y,z / u,u)) != w | K(x,L(y,u \ z,u)) = w. [para(14269(a,1),14251(a,1))]. given #12240 (H,wt=21): 14313 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(62,a,14109,a,b,14182,a)]. given #12241 (H,wt=21): 14314 (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). [para(14187(a,2),14213(a,2,2,2))]. given #12242 (H,wt=16): 14322 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(12586,a,14314,a)]. given #12243 (H,wt=21): 14318 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [hyper(286,a,11732,a,b,14262,a),flip(a)]. given #12244 (H,wt=21): 14321 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(11639(a,1),14313(a,1,1))]. given #12245 (H,wt=21): 14323 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). [para(445(a,1),14322(a,1,3,2)),flip(a)]. given #12246 (H,wt=21): 14324 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14209(a,2),14321(a,1,1))]. given #12247 (H,wt=21): 14326 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5982,a,14324,a)]. given #12248 (H,wt=17): 14327 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(62,a,14120,a(flip),b,14326,a),flip(a)]. given #12249 (H,wt=22): 14179 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(14176(a,1),172(a,1,2))]. given #12250 (H,wt=22): 14235 K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ 1)) = w. [para(14227(a,1),11806(a,1,2))]. given #12251 (H,wt=22): 14241 a(a(x,y,K(z,u)),w,v5) != v6 | a(a(x,y,z),w,K(v5,u)) = v6. [para(13769(a,2),14237(a,1,1))]. given #12252 (H,wt=22): 14245 a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. [para(11990(a,2),14238(a,1))]. given #12253 (H,wt=22): 14289 a(x,y,K(z,u \ (w \ 1))) != v5 | a(z,y,K(x,w * u)) = v5. [para(13506(a,1),14287(a,1,3))]. given #12254 (H,wt=22): 14307 K(x,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. [para(14190(a,1),14202(a,1,2))]. given #12255 (H,wt=22): 14329 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(12601,a,14179,a)]. given #12256 (H,wt=22): 14330 a(x,y,K(z,u \ (x \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. [para(14178(a,1),14245(a,1))]. given #12257 (H,wt=23): 14264 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(u,w,v5))). [para(13769(a,2),14198(a,1,2,3))]. given #12258 (H,wt=23): 14271 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,(z \ 1) \ u)). [para(13494(a,1),14200(a,1,1,3))]. given #12259 (H,wt=19): 14331 K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,u * w)). [hyper(14251,a,14271,a),flip(a)]. given #12260 (H,wt=19): 14333 K(x,L(y,z,(u \ 1) * w)) = K(x,L(y,z,u \ w)). [para(4893(a,1),14331(a,1,2,3,1)),flip(a)]. given #12261 (H,wt=20): 14340 K(x,L(y,z,u \ a(w,v5,w))) = K(x,L(y,z,u \ 1)). [para(13381(a,1),14333(a,1,2)),flip(a)]. given #12262 (H,wt=21): 14334 K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,w * (u \ 1))). [para(6431(a,1),14331(a,1,2,3))]. given #12263 (H,wt=21): 14339 K(x,L(y,z,(u * w) \ 1)) = K(x,L(y,z,w \ (u \ 1))). [para(6394(a,1),14333(a,1,2,3))]. given #12264 (H,wt=21): 14341 K(x,L(y,z,u * ((w * u) \ 1))) = K(x,L(y,z,w \ 1)). [para(11(a,1),14334(a,1,2,3,1)),flip(a)]. given #12265 (H,wt=22): 14332 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,u * w)) = v5. [para(14271(a,1),14251(a,1))]. given #12266 (H,wt=22): 14338 K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,w \ (w * u))). [para(4913(a,1),14333(a,1,2,3))]. given #12267 (H,wt=18): 14343 K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,u)). [para(9(a,1),14338(a,2,2,3))]. given #12268 (H,wt=23): 14282 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(286,a,11913,a,b,14258,a)]. given #12269 (H,wt=23): 14283 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(286,a,8600,a(flip),b,14268,a),flip(a)]. given #12270 (H,wt=23): 14319 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(286,a,9767,a,b,14262,a),flip(a)]. given #12271 (H,wt=19): 14348 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(33,a,14318,a,b,14319,a)]. given #12272 (H,wt=19): 14350 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(10(a,1),14348(a,1,2)),flip(a)]. given #12273 (H,wt=19): 14351 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8060(a,2),14348(a,1,3))]. given #12274 (H,wt=19): 14352 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8060(a,2),14351(a,2,3))]. given #12275 (H,wt=23): 14328 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(62,a,14072,a(flip),b,14327,a),flip(a)]. given #12276 (H,wt=21): 14353 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(10273(a,1),14328(a,1,2,1))]. given #12277 (H,wt=21): 14354 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(62,a,14122,a,b,14353,a)]. given #12278 (H,wt=17): 14355 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4613(a,2),14354(a,1,2,1,2))]. given #12279 (H,wt=13): 14356 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(167(a,1),14355(a,1,2,1)),flip(a)]. given #12280 (H,wt=12): 14357 T(x,R(y,z,z \ 1)) = T(x,y). [hyper(286,a,13671,a(flip),b,14356,a),flip(a)]. given #12281 (H,wt=15): 14360 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(14356(a,1),4617(a,2,2)),flip(a)]. given #12282 (H,wt=13): 14362 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(4697,a,14360,a),flip(a)]. given #12283 (H,wt=12): 14363 K(R(x,y,y \ 1),z) = K(x,z). [hyper(286,a,13482,a(flip),b,14362,a),flip(a)]. given #12284 (H,wt=13): 14364 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(286,a,11780,a(flip),b,14362,a),flip(a)]. given #12285 (H,wt=13): 14373 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(12944,a,14364,a)]. given #12286 (H,wt=13): 14374 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12941,a,14364,a)]. given #12287 (H,wt=13): 14393 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(286,a,11732,a,b,14374,a),flip(a)]. given #12288 (H,wt=13): 14404 R(K(x,y),z,x) != u | K(x,y) = u. [para(14374(a,2),9526(a,1))]. given #12289 (H,wt=13): 14406 R(K(x,y),y,z) != u | K(x,y) = u. [para(14374(a,2),11762(a,1))]. given #12290 (H,wt=16): 14369 K(R(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(14362(a,2),11807(a,1))]. given #12291 (H,wt=16): 14413 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(14393(a,2),11777(a,1))]. given #12292 (H,wt=16): 14417 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(12930(a,1),14369(a,1))]. given #12293 (H,wt=17): 14383 K(x,L(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). [hyper(11855,a,14373,a),flip(a)]. given #12294 (H,wt=17): 14394 R(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(286,a,11748,a(flip),b,14374,a),flip(a)]. given #12295 (H,wt=17): 14412 R(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(14393(a,2),10717(a,1))]. given #12296 (H,wt=17): 14420 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). [para(3508(a,1),14383(a,1,2))]. given #12297 (H,wt=17): 14421 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(62,a,7383,a(flip),b,14394,a)]. given #12298 (H,wt=18): 14359 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(14356(a,1),108(a,1,2))]. given #12299 (H,wt=18): 14365 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(105(a,1),14362(a,1,1)),flip(a)]. given #12300 (H,wt=18): 14366 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(478(a,1),14362(a,1,1)),flip(a)]. given #12301 (H,wt=18): 14378 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(478(a,1),14364(a,1,1)),flip(a)]. given #12302 (H,wt=18): 14386 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(105(a,1),14373(a,1,2)),flip(a)]. given #12303 (H,wt=18): 14387 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(478(a,1),14373(a,1,2)),flip(a)]. given #12304 (H,wt=18): 14395 K(x,(y * z) / ((u \ y) * z)) = K(x,L(u,y,z)). [hyper(62,a,7411,a,b,14374,a)]. given #12305 (H,wt=18): 14396 (x * y) / ((K(z,u) * x) * y) = K(u,L(z,x,y)). [hyper(62,a,7393,a,b,14374,a)]. given #12306 (H,wt=18): 14399 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14374(a,1),104(a,1,1))]. given #12307 (H,wt=18): 14408 L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(62,a,7414,a(flip),b,14393,a),flip(a)]. given #12308 (H,wt=18): 14409 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(62,a,7246,a(flip),b,14393,a),flip(a)]. given #12309 (H,wt=18): 14410 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14393(a,1),104(a,1,1))]. given #12310 (H,wt=19): 14370 a(K(L(x,y,z),u),w,v5) = a(R(x,y,z),w,K(v5,u)). [para(14362(a,1),14176(a,1,1))]. given #12311 (H,wt=19): 14385 K(x,R(L(y,z,u),w,v5)) = K(x,L(L(y,w,v5),z,u)). [para(30(a,1),14373(a,2,2))]. given #12312 (H,wt=19): 14427 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(13660(a,1),14359(a,1,2))]. given #12313 (H,wt=19): 14447 a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). [hyper(14237,a,14370,a),flip(a)]. given #12314 (H,wt=19): 14448 K(x,L(R(y,z,u),w,v5)) = K(x,L(L(y,z,u),w,v5)). [para(29(a,1),14385(a,1,2))]. given #12315 (H,wt=19): 14450 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(62,a,11465,a,b,14427,a)]. given #12316 (H,wt=19): 14451 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(115,a,14427,a(flip),b,11465,a),flip(a)]. given #12317 (H,wt=16): 14455 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(286,a,94,a,b,14451,a),flip(a)]. given #12318 (H,wt=20): 14379 K((x * y) / ((z \ x) * y),u) = K(z,L(u,z \ x,y)). [para(101(a,1),14364(a,1,1))]. given #12319 (H,wt=20): 14384 K(x,((y * z) * u) / (y * u)) = K(T(x,y),L(z,y,u)). [hyper(8265,a,14373,a)]. given #12320 (H,wt=20): 14388 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(614(a,1),14373(a,1,2)),flip(a)]. given #12321 (H,wt=20): 14390 K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(14373(a,1),11855(a,1))]. given #12322 (H,wt=20): 14400 K(x,L(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u). [para(14374(a,1),323(a,1,1))]. given #12323 (H,wt=20): 14401 K(x,L(y,z / u,u)) * z = (K(x,y) * (z / u)) * u. [para(14374(a,1),332(a,1,1))]. given #12324 (H,wt=20): 14405 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14374(a,1),11207(a,1,1))]. given #12325 (H,wt=20): 14438 (x * y) / ((x * K(z,u)) * y) = K(u,L(T(z,x),x,y)). [para(8147(a,1),14396(a,1,2,1))]. given #12326 (H,wt=20): 14449 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [hyper(6974,a,14427,a)]. given #12327 (H,wt=20): 14458 K(x,((y * z) * u) / (y * u)) = K(x,T(L(z,y,u),y)). [hyper(286,a,7777,a(flip),b,14384,a),flip(a)]. given #12328 (H,wt=20): 14461 K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. [para(3508(a,1),14390(a,1,2))]. given #12329 (H,wt=20): 14469 K(x,((y * z) * u) / (y * u)) = K(x,L(T(z,y),y,u)). [para(25(a,2),14458(a,2,2))]. given #12330 (H,wt=21): 14402 K(x,L(y,z,u)) * (z * u) != w | (K(x,y) * z) * u = w. [para(14374(a,1),266(a,1,1))]. given #12331 (H,wt=21): 14418 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. [para(7234(a,2),14413(a,1))]. given #12332 (H,wt=21): 14425 K(x,y) * K(y,L(x,z,u \ 1)) = a(y,z \ 1,K(u,x)). [para(14420(a,1),14184(a,1,2))]. given #12333 (H,wt=17): 14473 a(x,y \ 1,K(z,u)) = a(x,y,K(z \ 1,u)). [hyper(14244,a,14425,a),flip(a)]. given #12334 (H,wt=15): 14474 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [hyper(286,a,14190,a(flip),b,14473,a),flip(a)]. given #12335 (H,wt=21): 14429 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(8338,a,14365,a)]. given #12336 (H,wt=21): 14459 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(451(a,1),14388(a,1,2)),flip(a)]. given #12337 (H,wt=21): 14463 (K(x,T(y,z)) * u) * (u \ z) = (z / u) * (u * K(x,y)). [hyper(62,a,11859,a(flip),b,14400,a),flip(a)]. given #12338 (H,wt=21): 14475 a(x,y \ K(z,u),K(w,v5)) = a(w,K(u,z) * y,K(x,v5)). [para(13570(a,1),14474(a,1,2))]. given #12339 (H,wt=21): 14479 (x / y) * (y * K(z,T(u,x))) = (K(z,u) * y) * (y \ x). [para(8149(a,1),14463(a,1,1,1)),flip(a)]. given #12340 (H,wt=22): 14376 K(x / y,L(T(z,x * u),y,u)) = K((y * u) \ (x * u),z). [hyper(8349,a,14364,a),flip(a)]. given #12341 (H,wt=22): 14411 (K(x,T(y,z * u)) * z) * u = (z * u) * L(K(x,y),z,u). [para(14393(a,1),8162(a,2,2))]. given #12342 (H,wt=19): 14481 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(216,a,14411,a,b,11398,a(flip))]. given #12343 (H,wt=22): 14444 K(x,L(y,z,u)) * ((x \ z) * u) = (K(x,y) * (x \ z)) * u. [para(11788(a,1),14399(a,1,1))]. given #12344 (H,wt=22): 14446 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(9067(a,1),14410(a,1,1))]. given #12345 (H,wt=20): 14484 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(4675(a,1),14446(a,2,1))]. given #12346 (H,wt=22): 14468 ((x * y) * z) / T(x,y * z) = ((y * z) * R(x,y,z)) / x. [hyper(116,a,14449,a(flip),b,6603,a),flip(a)]. given #12347 (H,wt=22): 14472 K(((x \ y) * z) \ (y * z),u) = K(x,L(T(u,y * z),y,z)). [hyper(14418,a,7729,a),flip(a)]. given #12348 (H,wt=22): 14485 K(x / y,L(T(z,x * u),x,u)) = K((y * u) \ (x * u),z). [para(76(a,1),14472(a,1,1,1,1)),flip(a)]. given #12349 (H,wt=23): 14344 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8077(a,1),14282(a,1,2))]. given #12350 (H,wt=21): 14486 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(62,a,12263,a(flip),b,14344,a)]. given #12351 (H,wt=19): 14487 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10251(a,1),14486(a,1,1))]. given #12352 (H,wt=19): 14488 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8077(a,1),14487(a,2,3))]. given #12353 (H,wt=23): 14346 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8056(a,1),14283(a,1,1,3))]. given #12354 (H,wt=23): 14392 a(x,y,K(z,L(u,w,v5))) * K(z,x) = K(z,L(x,y,R(u,w,v5))). [para(14373(a,1),14201(a,1,1,3))]. given #12355 (H,wt=19): 14489 K(x,L(y,z,R(u,w,v5))) = K(x,L(y,z,L(u,w,v5))). [hyper(14311,a,14392,a),flip(a)]. given #12356 (H,wt=22): 14490 K(x,L(y,z,R(u,w,v5))) != v6 | K(x,L(y,z,L(u,w,v5))) = v6. [para(14392(a,1),14311(a,1))]. given #12357 (H,wt=23): 14403 K(x,L(y,z,z \ u)) * u != w | (K(x,y) * z) * (z \ u) = w. [para(14374(a,1),663(a,1,1))]. given #12358 (H,wt=23): 14415 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,z \ x,y)) = w. [para(101(a,1),14369(a,1,1))]. given #12359 (H,wt=23): 14432 (x * y) * K(z / (y * x),u) = x * (y * K((z / x) / y,u)). [para(14378(a,1),11753(a,1,2))]. given #12360 (H,wt=23): 14442 (K(x,y) * z) * (z \ u) != w | K(x,L(y,z,z \ u)) * u = w. [para(14399(a,1),300(a,1))]. given #12361 (H,wt=24): 14233 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(268(a,1),14210(a,1,2,1))]. given #12362 (H,wt=24): 14306 K(x,y) * a(x,z,K(u,y \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(6458(a,1),14202(a,1,2,3))]. given #12363 (H,wt=24): 14367 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(u,z) * y),w). [para(6911(a,1),14362(a,1,1)),flip(a)]. given #12364 (H,wt=24): 14375 K(x / y,L(T(z,u * y),y,u)) = K((u * y) \ (x * T(u,y)),z). [hyper(11213,a,14364,a),flip(a)]. given #12365 (H,wt=24): 14397 K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). [hyper(62,a,10030,a(flip),b,14374,a),flip(a)]. given #12366 (H,wt=24): 14407 L(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [hyper(62,a,10030,a(flip),b,14393,a),flip(a)]. given #12367 (H,wt=24): 14414 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14393(a,1),13894(a,1,1))]. given #12368 (H,wt=24): 14423 K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) = K(x,R(y * z,u,w)). [para(557(a,1),14420(a,1,2)),flip(a)]. given #12369 (H,wt=24): 14430 K(x * K(y / (z * u),x),w) = K(x,T(w,L((y / u) / z,z,u))). [para(14366(a,1),8183(a,1,1,2))]. given #12370 (H,wt=22): 14495 K(x,T(y,L((z / u) / w,w,u))) = K(x,T(y,z / (w * u))). [hyper(8339,a,14430,a),flip(a)]. given #12371 (H,wt=24): 14436 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14387(a,1),11813(a,2,2))]. given #12372 (H,wt=24): 14470 K(x,L(T(y,z / u),z / u,u)) = K(x,(((z / u) * y) * u) / z). [para(12(a,1),14469(a,1,2,2)),flip(a)]. given #12373 (H,wt=24): 14493 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(9594,a,14414,a)]. given #12374 (H,wt=25): 14255 a(x,y,K(z \ L(z,u,u \ 1),w)) = a(a(u \ 1,u,z),y,K(x,w)). [para(6339(a,1),14189(a,1,1)),flip(a)]. given #12375 (H,wt=25): 14259 K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). [para(11538(a,1),14196(a,1,2,3))]. given #12376 (H,wt=21): 14499 L(K(x,y),z,(u / w) / u) = L(K(x,y),z,u / (u * w)). [hyper(14267,a,14259,a),flip(a)]. given #12377 (H,wt=24): 14500 L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. [para(14259(a,1),14267(a,1))]. given #12378 (H,wt=25): 14272 a(x,y,K(z,z \ (u \ w))) * K(z,x) = K(z,L(x,y,(u * z) \ w)). [para(10568(a,1),14201(a,1,1,3))]. given #12379 (H,wt=21): 14501 K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). [hyper(14311,a,14272,a),flip(a)]. given #12380 (H,wt=24): 14502 K(x,L(y,z,(u * x) \ w)) != v5 | K(x,L(y,z,x \ (u \ w))) = v5. [para(14272(a,1),14311(a,1))]. given #12381 (H,wt=25): 14277 T(x \ 1,a(y,z,u)) * K(w,v5) = a(u,z,K(x,y)) * (x \ K(w,v5)). [para(14275(a,1),13811(a,1,1)),flip(a)]. given #12382 (H,wt=23): 14504 T(x \ 1,a(y,z,u)) * K(w,v5) = T(x,a(y,z,u)) \ K(w,v5). [hyper(286,a,14291,a(flip),b,14277,a),flip(a)]. given #12383 (H,wt=17): 14505 T(x \ 1,a(y,z,u)) = T(x,a(y,z,u)) \ 1. [hyper(34,a,13512,a,b,14504,a),flip(a)]. given #12384 (H,wt=25): 14294 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(v5,w,u) \ 1)). [para(14192(a,2),14263(a,1,2,3))]. given #12385 (H,wt=21): 14506 K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). [hyper(62,a,14264,a(flip),b,14294,a),flip(a)]. given #12386 (H,wt=25): 14298 K(x,y) * a(z,u,a(x,w,K(v5,y))) = K(x,L(y,u,1 / a(z,w,v5))). [para(14297(a,1),14296(a,1,2))]. given #12387 (H,wt=25): 14315 (x * (y * a(z,u,K(y,w)))) \ 1 = a(w,u,K(y,z)) * ((x * y) \ 1). [para(12579(a,1),14218(a,1,1))]. given #12388 (H,wt=25): 14336 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,(K(v5,w) / u) * v6)). [para(13520(a,1),14331(a,1,2,3,1))]. given #12389 (H,wt=25): 14337 K(x,L(y,z,(u * K(w,u)) \ v5)) = K(x,L(y,z,(u \ K(u,w)) * v5)). [para(4804(a,1),14333(a,1,2,3,1)),flip(a)]. given #12390 (H,wt=25): 14347 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8391(a,1),14283(a,1,1,3))]. given #12391 (H,wt=19): 14508 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14346,a(flip),b,14347,a),flip(a)]. given #12392 (H,wt=19): 14509 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(76(a,1),14508(a,1,2,2,3)),flip(a)]. given #12393 (H,wt=25): 14380 K(x,L(y,z,u)) * K(y,y \ R(x,z,u)) = a(y,y \ R(x,z,u),y). [para(14364(a,1),9182(a,1,1))]. given #12394 (H,wt=25): 14453 K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). [hyper(62,a,11775,a,b,14448,a)]. given #12395 (H,wt=25): 14492 K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(y,z,K(x,z \ u)) = w. [para(14233(a,2),14245(a,1))]. given #12396 (H,wt=25): 14498 a(x,y,K(z \ L(z,u,u \ 1),w)) = a(u \ 1,y,a(x,u,K(z,w))). [hyper(286,a,14297,a(flip),b,14255,a),flip(a)]. given #12397 (H,wt=16): 14511 a(x \ 1,y,a(z,x,K(u,w))) = a(z,y,1). [para(14281(a,1),14498(a,1,3)),flip(a)]. given #12398 (H,wt=13): 14512 a(x \ 1,y,a(z,x,K(u,w))) = 1. [hyper(286,a,418,a(flip),b,14511,a),flip(a)]. given #12399 (H,wt=19): 14515 K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y) * 1. [para(14512(a,1),14298(a,1,2)),flip(a)]. given #12400 (H,wt=17): 14516 K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y). [hyper(286,a,8,a(flip),b,14515,a),flip(a)]. given #12401 (H,wt=17): 14517 K(x,L(y,z,a(u \ 1,u,w) \ 1)) = K(x,y). [para(3498(a,2),14516(a,1,2))]. given #12402 (H,wt=15): 14518 K(x,L(y,z,a(u \ 1,u,w))) = K(x,y). [hyper(14390,a,14517,a)]. given #12403 (H,wt=15): 14519 K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). [hyper(62,a,14506,a(flip),b,14517,a)]. given #12404 (H,wt=25): 14507 K(x,L(y,z,(u \ K(u,w)) * v5)) = K(x,L(y,z,K(u,w) * (u \ v5))). [para(6004(a,1),14337(a,1,2,3)),flip(a)]. given #12405 (H,wt=25): 14510 K(x,L(L(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). [hyper(62,a,14448,a(flip),b,14453,a)]. given #12406 (H,wt=22): 14520 K(x,L(L(y,x,z),x * z,u)) = K(x,L(y,(y * x) * z,u)). [hyper(10626,a,14510,a),flip(a)]. given #12407 (H,wt=20): 14521 K(x,L(L(y,x,z),z,u)) = K(x,L(y,(y * x) * z,u)). [hyper(62,a,11799,a(flip),b,14520,a)]. given #12408 (H,wt=20): 14522 K(x,L(y,(y * x) * z,u)) != w | K(x,L(y,z,u)) = w. [para(14521(a,1),10626(a,1))]. given #12409 (H,wt=26): 14203 K(x,(y * z) \ u) * a(x,z,K(z \ (y \ u),y)) = K(x,z \ (y \ u)). [para(14178(a,2),11842(a,1,2))]. given #12410 (H,wt=26): 14250 K(x,y) * (a(x,y,x) \ K(x * y,L(x,z,u))) = a(x * y,z,K(u,x)). [hyper(62,a,10918,a,b,14184,a)]. given #12411 (H,wt=26): 14280 a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). [para(14231(a,1),6506(a,1,1))]. given #12412 (H,wt=22): 14524 a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ L(x,y,z),u). [para(4563(a,1),14280(a,2,2,1,2))]. given #12413 (H,wt=26): 14285 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14268(a,2),8744(a,1))]. given #12414 (H,wt=26): 14335 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,y * x)). [para(14331(a,1),11852(a,1,2)),flip(a)]. given #12415 (H,wt=24): 14527 x * K(y,L(z,u \ 1,u * x)) = (x / (u \ 1)) * (u \ K(y,z)). [para(13512(a,1),14335(a,1,2)),flip(a)]. given #12416 (H,wt=26): 14349 L(K(x,y),y * z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(14319(a,1),42(a,1))]. given #12417 (H,wt=26): 14377 K((T(x,y) * z) \ ((x * y) * z),u) = K(y,L(T(u,x * z),T(x,y),z)). [hyper(62,a,9340,a,b,14364,a)]. given #12418 (H,wt=26): 14435 K(x,L(y / z,z,u)) * (z * u) = (z * u) * K(x,(z * u) \ (y * u)). [para(14386(a,2),7770(a,1,1))]. given #12419 (H,wt=23): 14528 (x * y) * K(z,(x * y) \ (u * y)) = (K(z,u / x) * x) * y. [hyper(14402,a,14435,a),flip(a)]. given #12420 (H,wt=23): 14529 (x * y) * K(z,(x * y) \ (u * y)) = (x * K(z,x \ u)) * y. [para(7770(a,1),14528(a,2,1))]. given #12421 (H,wt=26): 14440 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,x * y,z)). [para(11382(a,1),14396(a,1,2,1))]. given #12422 (H,wt=26): 14452 R(x,y,z) * T(y * z,x) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(14427(a,2),513(a,1))]. given #12423 (H,wt=26): 14456 L(x \ R(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(8146(a,1),14455(a,2,3)),flip(a)]. given #12424 (H,wt=26): 14462 K(x,L(y,z \ K(u,w),v5 \ 1)) != v6 | K(x,L(y,K(w,u) * z,v5)) = v6. [para(13570(a,1),14390(a,1,2,2))]. given #12425 (H,wt=26): 14465 K(x,L(y,z \ 1,z * u)) * u = (K(x,y) * (z \ 1)) * ((z \ 1) \ u). [para(14331(a,1),14400(a,1,1))]. given #12426 (H,wt=24): 14531 K(x,L(y,z \ 1,z * u)) * u = (K(x,y) / z) * ((z \ 1) \ u). [para(13636(a,1),14465(a,2,1))]. given #12427 (H,wt=26): 14496 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13604(a,1),14436(a,1,2))]. given #12428 (H,wt=26): 14523 K(x,y) * L(a(x,y,x) \ K(x * y,x),z,u) = a(x * y,z,K(u,x)). [para(13077(a,2),14250(a,1,2))]. given #12429 (H,wt=19): 14532 K(x,y) * L(K(y,x),z,u) = a(x * y,z,K(u,x)). [para(9187(a,1),14523(a,1,2,1))]. given #12430 (H,wt=19): 14533 K(x,y) * K(y,L(x,z,u)) = a(x * y,z,K(u,x)). [para(11732(a,1),14532(a,1,2))]. given #12431 (H,wt=15): 14534 a(x * y,z,K(u,x)) = a(y,z,K(u,x)). [hyper(14244,a,14533,a),flip(a)]. given #12432 (H,wt=12): 14536 a(x * (y * z),y,K(z,x)) = 1. [hyper(286,a,14175,a(flip),b,14534,a),flip(a)]. given #12433 (H,wt=18): 14535 a(x * y,z,K(u,x)) != w | a(y,z,K(u,x)) = w. [para(14533(a,1),14244(a,1))]. given #12434 (H,wt=26): 14525 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8056(a,1),14285(a,1,1,3))]. given #12435 (H,wt=26): 14530 (x * K(y,x \ z)) * u != (x * u) * w | K(y,(x * u) \ (z * u)) = w. [para(14529(a,1),42(a,1))]. given #12436 (H,wt=27): 14273 a(x,y,K(z,L(u,w,v5) \ 1)) * K(z,x) = K(z,L(x,y,L(u \ 1,w,v5))). [para(11748(a,1),14201(a,1,1,3))]. given #12437 (H,wt=23): 14537 K(x,L(y,z,L(u \ 1,w,v5))) = K(x,L(y,z,L(u,w,v5) \ 1)). [hyper(14311,a,14273,a),flip(a)]. given #12438 (H,wt=27): 14309 a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). [para(81(a,1),14212(a,1,1)),flip(a)]. given #12439 (H,wt=27): 14381 K(x / y,L(T(z,u * y),y,u)) != w | K((u * y) \ (x * T(u,y)),z) = w. [para(14364(a,1),11213(a,1))]. given #12440 (H,wt=27): 14389 K(x,L(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). [para(14373(a,1),5888(a,1,1))]. given #12441 (H,wt=25): 14538 T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). [para(11736(a,1),14389(a,1,1)),flip(a)]. given #12442 (H,wt=27): 14419 (x * y) \ ((x * K(z,u)) * y) != w | K(z,L(T(T(u,x),x * y),x,y)) = w. [para(10030(a,1),14413(a,1))]. given #12443 (H,wt=27): 14466 (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). [hyper(8511,a,14405,a)]. given #12444 (H,wt=25): 14539 (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). [para(8146(a,1),14466(a,2,1))]. given #12445 (H,wt=27): 14482 (x * y) * L(K(z,u),x,y) != y * w | T(K(z,T(u,x * y)) * x,y) = w. [para(14411(a,1),217(a,2)),flip(a)]. given #12446 (H,wt=27): 14483 K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K((T(z,u) * K(x,y)) \ 1,w). [para(14481(a,1),7728(a,1,1,1)),flip(a)]. given #12447 (H,wt=27): 14494 K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) != v5 | K(x,L(y * z,u,w)) = v5. [para(14423(a,2),14417(a,1))]. given #12448 (H,wt=19): 14540 K(x,R((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [hyper(14494,a,13483,a),flip(a)]. given #12449 (H,wt=19): 14541 K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [hyper(14417,a,14540,a)]. given #12450 (H,wt=27): 14503 (K(x,L(y,z,x \ (u \ w))) * v5) \ v5 = K(L(y,z,(u * x) \ w),T(x,v5)). [para(14501(a,1),7851(a,1,1,1))]. given #12451 (H,wt=25): 14542 K(L(x,y,(z * u) \ w),T(u,v5)) = K(L(x,y,u \ (z \ w)),T(u,v5)). [hyper(7852,a,14503,a),flip(a)]. given #12452 (H,wt=25): 14543 K(L(x,y,(z * u) \ w),T(u,v5)) = K(x,L(T(u,v5),y,u \ (z \ w))). [hyper(286,a,11780,a(flip),b,14542,a),flip(a)]. given #12453 (H,wt=25): 14544 K(x,L(T(y,z),u,(w * y) \ v5)) = K(x,L(T(y,z),u,y \ (w \ v5))). [hyper(11807,a,14543,a)]. given #12454 (H,wt=28): 14242 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(14174(a,2),14237(a,1))]. given #12455 (H,wt=28): 14270 x * (a(y,z,K((z * K(u,y)) \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. [para(14200(a,2),11973(a,1,2))]. given #12456 (H,wt=24): 14545 x * (a(y,z,K(z \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. [para(9017(a,1),14270(a,1,2,1,3))]. given #12457 (H,wt=20): 14547 x * K(y,L(z,u,u \ x)) = (x / (u * K(z,y))) * u. [para(14200(a,1),14545(a,1,2))]. given #12458 (H,wt=19): 14548 (x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)). [hyper(62,a,11852,a(flip),b,14547,a),flip(a)]. given #12459 (H,wt=19): 14549 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(34,a,4443,a,b,14548,a),flip(a)]. given #12460 (H,wt=17): 14553 K(x,1 / x) * (y / z) = y / (1 / (1 / z)). [para(5826(a,1),14549(a,1,2)),flip(a)]. given #12461 (H,wt=19): 14555 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(14553(a,1),8872(a,1,2,1))]. given #12462 (H,wt=22): 14550 (x / y) * (y * K(z,u)) != w * y | x / (y * K(u,z)) = w. [para(14548(a,1),43(a,1))]. given #12463 (H,wt=25): 14551 (x / (y * z)) * ((y * z) * K(u,z)) = (x / (y * T(z,u))) * (y * z). [para(6811(a,1),14548(a,1,1,2)),flip(a)]. given #12464 (H,wt=24): 14558 x * K(y,L(z,u,(u * z) \ x)) = (x / (u * T(z,y))) * (u * z). [hyper(62,a,11863,a(flip),b,14551,a)]. given #12465 (H,wt=25): 14557 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13527(a,1),14555(a,1,2,1,2,2))]. given #12466 (H,wt=28): 14325 K(x,y \ (z * u)) * a(z,u,K(x,y \ (z * u))) = K(x,(u \ (z \ y)) \ 1). [para(14323(a,1),12023(a,1,2))]. given #12467 (H,wt=22): 14559 K(x,L(y \ (z * u),u,z \ 1)) = K(x,(u \ (z \ y)) \ 1). [hyper(14307,a,14325,a)]. given #12468 (H,wt=23): 14560 K(x,L(y \ (z * u),u,z \ 1)) != w | K(x,(z \ y) \ u) = w. [para(14559(a,2),6979(a,1))]. given #12469 (H,wt=28): 14426 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(703(a,1),14421(a,1,2,1)),flip(a)]. given #12470 (H,wt=28): 14443 K(x,L(y,K(z,u),u \ w)) * (T(u,z) \ w) = (K(x,y) * K(z,u)) * (u \ w). [para(5741(a,1),14399(a,1,2))]. given #12471 (H,wt=28): 14464 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = ((K(y,z) * u) * (u \ (x \ 1))) \ 1. [para(14400(a,1),6403(a,1,1)),flip(a)]. given #12472 (H,wt=28): 14480 K(x,L(T(y,(z * x) * u),T(z,x),u)) = K((T(z,x) * u) \ ((z * x) * u),y). [para(174(a,1),14376(a,1,1))]. given #12473 (H,wt=27): 14563 K(x,L(T(y,(z * x) * u),T(z,x),u)) = K(x,L(T(y,z * u),T(z,x),u)). [hyper(286,a,14377,a(flip),b,14480,a),flip(a)]. given #12474 (H,wt=25): 14564 K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),T(z,x),u)). [hyper(11845,a,14563,a)]. given #12475 (H,wt=23): 14565 K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),z,u)). [hyper(286,a,10539,a(flip),b,14564,a),flip(a)]. given #12476 (H,wt=28): 14526 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(8391(a,1),14285(a,1,1,3))]. given #12477 (H,wt=28): 14561 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(286,a,7968,a,b,14426,a),flip(a)]. given #12478 (H,wt=26): 14567 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(286,a,10299,a(flip),b,14561,a),flip(a)]. given #12479 (H,wt=23): 14568 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6990,a,14567,a),flip(a)]. given #12480 (H,wt=28): 14562 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((K(y,z) * u) \ 1). [hyper(286,a,6423,a(flip),b,14464,a),flip(a)]. given #12481 (H,wt=28): 14571 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((u \ 1) * K(z,y)). [para(6402(a,1),14562(a,2,2))]. given #12482 (H,wt=26): 14572 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y,y \ (x \ 1))). [para(11785(a,1),14571(a,1,2)),flip(a)]. given #12483 (H,wt=24): 14573 x * K(y,L(z,u,u \ (x \ 1))) = (x / (u \ 1)) * (u \ K(y,z)). [para(13512(a,1),14572(a,1,2)),flip(a)]. given #12484 (H,wt=28): 14574 (x * (y \ 1)) * K(z,L(u,y,y \ ((x * (y \ 1)) \ 1))) = x * (y \ K(z,u)). [para(11(a,1),14573(a,2,1))]. given #12485 (H,wt=26): 14576 (x * (y \ 1)) * K(z,L(u,y,y \ (y * (x \ 1)))) = x * (y \ K(z,u)). [para(6403(a,1),14574(a,1,2,2,3,2))]. given #12486 (H,wt=22): 14577 (x * (y \ 1)) * K(z,L(u,y,x \ 1)) = x * (y \ K(z,u)). [para(9(a,1),14576(a,1,2,2,3))]. given #12487 (H,wt=29): 14310 K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) != v6 | a(L(y,z,u),w,K(v5,x)) = v6. [para(11780(a,1),14244(a,1,2))]. given #12488 (H,wt=29): 14342 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ a(u,w,u))). [para(13051(a,1),14339(a,1,2,3)),flip(a)]. given #12489 (H,wt=26): 14579 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ 1)). [hyper(286,a,14340,a(flip),b,14342,a),flip(a)]. given #12490 (H,wt=26): 14581 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,v5 \ (v6 \ 1))). [hyper(286,a,14339,a(flip),b,14579,a),flip(a)]. given #12491 (H,wt=26): 14582 K(x,L(y,z,u \ (a(w,v5,w) * (v6 \ 1)))) = K(x,L(y,z,u \ (v6 \ 1))). [para(12880(a,1),14581(a,1,2,3))]. given #12492 (H,wt=24): 14583 K(x,L(y,z,u \ (w \ a(v5,v6,v5)))) = K(x,L(y,z,u \ (w \ 1))). [para(13015(a,1),14582(a,1,2,3,2))]. given #12493 (H,wt=29): 14368 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(14362(a,1),7997(a,1))]. given #12494 (H,wt=29): 14416 K((T(x,y) * z) \ ((x * y) * z),u) != w | K(y,L(T(u,x * z),T(x,y),z)) = w. [para(9340(a,2),14369(a,1))]. given #12495 (H,wt=29): 14566 K(L(T(x,(y * z) * u),y,u),T(z,w)) = (K(z,L(T(x,y * u),y,u)) * w) \ w. [para(14565(a,1),7851(a,1,1,1)),flip(a)]. given #12496 (H,wt=27): 14584 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(L(T(x,y * u),y,u),T(z,w)). [hyper(286,a,7851,a(flip),b,14566,a),flip(a)]. given #12497 (H,wt=27): 14585 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(T(x,y * u),L(T(z,w),y,u)). [hyper(286,a,11780,a(flip),b,14584,a),flip(a)]. given #12498 (H,wt=27): 14586 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,T(L(T(z,w),y,u),y * u)). [hyper(286,a,7777,a(flip),b,14585,a),flip(a)]. given #12499 (H,wt=27): 14587 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,L(T(T(z,w),y * u),y,u)). [para(25(a,2),14586(a,2,2))]. given #12500 (H,wt=27): 14588 K(T(x,(y * z) * u),L(T(z,w),y,u)) = K(x,L(T(T(z,w),y * u),y,u)). [hyper(11807,a,14587,a)]. given #12501 (H,wt=27): 14589 K(x,T(L(T(y,z),u,w),(u * y) * w)) = K(x,L(T(T(y,z),u * w),u,w)). [hyper(7981,a,14588,a)]. given #12502 (H,wt=27): 14590 K(x,L(T(T(y,z),(u * y) * w),u,w)) = K(x,L(T(T(y,z),u * w),u,w)). [para(25(a,2),14589(a,1,2))]. given #12503 (H,wt=30): 14345 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(93(a,2),14283(a,2,2,2)),flip(a)]. given #12504 (H,wt=28): 14591 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14350(a,1),14345(a,2,1))]. given #12505 (H,wt=22): 14592 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(286,a,14283,a(flip),b,14591,a),flip(a)]. given #12506 (H,wt=19): 14593 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(93(a,1),14592(a,1,2,2))]. given #12507 (H,wt=19): 14594 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11395(a,1),14593(a,1,2,2))]. given #12508 (H,wt=30): 14391 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14373(a,1),11967(a,1,2))]. given #12509 (H,wt=30): 14434 K(x,L(y / T(z / u,w),T(z / u,w),u)) = K(x,(y * u) / (u * T(u \ z,w))). [para(400(a,1),14386(a,2,2,2))]. given #12510 (H,wt=30): 14437 ((x \ y) * z) * K(u,((x \ y) * z) \ (y * z)) = K(u,L(x,y,z)) * ((x \ y) * z). [para(14395(a,1),7770(a,1,1)),flip(a)]. given #12511 (H,wt=26): 14597 K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,(y \ z) \ z)) * u. [hyper(62,a,14529,a(flip),b,14437,a),flip(a)]. given #12512 (H,wt=24): 14598 K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,T(y,z))) * u. [para(7722(a,1),14597(a,2,1,2))]. given #12513 (H,wt=20): 14599 K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(8024(a,1),14598(a,2,1))]. given #12514 (H,wt=20): 14600 T(R(x,x \ y,z),u) \ (y * z) = (T(x,u) \ y) * z. [hyper(62,a,14538,a,b,14599,a)]. given #12515 (H,wt=23): 14601 K(x,T(y,z)) * ((T(y,z) \ y) * u) = (T(T(y,z),x) \ y) * u. [para(11749(a,1),14599(a,1,1))]. given #12516 (H,wt=21): 14602 K(x,T(y,z)) * (K(z,y) * u) = (T(T(y,z),x) \ y) * u. [para(4603(a,2),14601(a,1,2,1))]. given #12517 (H,wt=19): 14603 T(T(x,y),z) \ (x * u) = (T(T(x,y),z) \ x) * u. [hyper(6070,a,14602,a)]. given #12518 (H,wt=31): 14183 ((K(x,y) / (z * u)) * z) / a(x,(z * u) \ 1,K(z,y)) = K(x,y) / L(u,z,z \ 1). [para(14176(a,1),14009(a,1,2))]. given #12519 (H,wt=29): 14604 ((K(x,y) / (z * u)) * z) / a(z,z * u,K(x,y)) = K(x,y) / L(u,z,z \ 1). [para(14474(a,1),14183(a,1,2))]. given #12520 (H,wt=31): 14292 K(x,(y * z) \ u) * a(x,w,K(z \ (y \ u),y)) = K(x,L((y * z) \ u,w,y \ 1)). [para(9505(a,1),14263(a,1,2,3))]. given #12521 (H,wt=20): 14605 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [hyper(62,a,14203,a(flip),b,14292,a),flip(a)]. given #12522 (H,wt=20): 14607 K(x,y \ (z \ ((z * y) * u))) = K(x,L(u,y,z \ 1)). [para(9(a,1),14605(a,1,2,1)),flip(a)]. given #12523 (H,wt=20): 14612 x \ ((x * y) * K(z,u)) = y * K(z,L(u,y,x \ 1)). [para(14607(a,1),11920(a,1,2)),flip(a)]. given #12524 (H,wt=22): 14613 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [para(10(a,1),14612(a,1,2,1)),flip(a)]. given #12525 (H,wt=26): 14606 K((x \ y) \ y,z \ (u \ w)) = K(x,T(L((u * z) \ w,z,u \ 1),y)). [hyper(7986,a,14605,a),flip(a)]. given #12526 (H,wt=26): 14614 T(x,((y * z) * K(u,w)) \ y) = T(x,(z * K(u,L(w,z,y \ 1))) \ 1). [para(14612(a,1),6745(a,1,2,1)),flip(a)]. given #12527 (H,wt=24): 14616 T(x,((y * z) * K(u,w)) \ y) = T(x,K(L(w,z,y \ 1),u) / z). [para(13591(a,1),14614(a,2,2))]. given #12528 (H,wt=24): 14617 T(x,((y * z) * K(u,w)) \ y) = T(x,K(w,L(u,z,y \ 1)) / z). [para(11780(a,1),14616(a,2,2,1))]. given #12529 (H,wt=26): 14615 K((x \ y) \ y,z \ (u \ w)) = K(x,L(T((u * z) \ w,y),z,u \ 1)). [para(25(a,2),14606(a,2,2))]. given #12530 (H,wt=27): 14618 K(x,L(T((y * z) \ u,w),z,y \ 1)) != v5 | K(x,T(z \ (y \ u),w)) = v5. [para(14615(a,1),7986(a,1))]. given #12531 (H,wt=30): 14610 K(x,L(((y * z) \ 1) \ u,y \ 1,(z \ 1) \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [para(6394(a,1),14605(a,1,2,1,1))]. given #12532 (H,wt=26): 14619 K(x,L(((y * z) \ 1) \ u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [hyper(14390,a,14610,a)]. given #12533 (H,wt=24): 14620 K(x,L((y * z) * u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [hyper(62,a,14541,a(flip),b,14619,a)]. given #12534 (H,wt=22): 14621 K(x,L((y * z) * u,y,z \ 1)) = K(x,y * ((z \ 1) \ u)). [hyper(286,a,13500,a(flip),b,14620,a),flip(a)]. given #12535 (H,wt=31): 14372 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = (K(x,z) * x) \ T(R(x,y,y \ 1),z). [para(14363(a,1),4748(a,1,1,1)),flip(a)]. given #12536 (H,wt=29): 14622 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ T(R(x,y,y \ 1),z). [para(4667(a,2),14372(a,2,1))]. given #12537 (H,wt=29): 14624 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ R(T(x,z),y,y \ 1). [para(27(a,2),14622(a,2,2))]. given #12538 (H,wt=25): 14625 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = a(T(x,z),y,y \ 1). [hyper(286,a,717,a(flip),b,14624,a),flip(a)]. given #12539 (H,wt=25): 14626 L(a(x,y,y \ 1),x,K(x,L(z,y,y \ 1))) = a(T(x,z),y,y \ 1). [para(14364(a,1),14625(a,1,3))]. given #12540 (H,wt=15): 14627 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(3873,a,14626,a),flip(a)]. given #12541 (H,wt=17): 14632 a(x \ y,z,z \ 1) = a(y / x,z,z \ 1). [para(110(a,1),14627(a,1,1))]. given #12542 (H,wt=19): 14628 a(T(x,y),z \ 1,z) = a(x,z \ 1,(z \ 1) \ 1). [hyper(12414,a,14627,a)]. given #12543 (H,wt=15): 14635 a(T(x,y),z \ 1,z) = a(x,z \ 1,z). [hyper(286,a,12407,a(flip),b,14628,a),flip(a)]. given #12544 (H,wt=17): 14636 a(x \ y,z \ 1,z) = a(y / x,z \ 1,z). [para(110(a,1),14635(a,1,1))]. given #12545 (H,wt=19): 14637 a(x \ 1,x,(y / z) \ 1) = a(z \ y,x \ 1,x). [hyper(286,a,6528,a,b,14636,a)]. given #12546 (H,wt=21): 14630 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(25(a,2),14627(a,1,1))]. given #12547 (H,wt=21): 14631 a(R(T(x,y),z,u),w,w \ 1) = a(R(x,z,u),w,w \ 1). [para(27(a,2),14627(a,1,1))]. given #12548 (H,wt=21): 14638 a((x \ 1) \ y,z \ 1,z) = a(z \ 1,z,x \ (y \ 1)). [para(6422(a,1),14637(a,1,3)),flip(a)]. given #12549 (H,wt=24): 14633 a(R(x \ y,x,z),u,u \ 1) = a((y * z) / (x * z),u,u \ 1). [para(612(a,1),14627(a,1,1))]. given #12550 (H,wt=24): 14639 a(R(x \ y,x,z),u,u \ 1) = a((x * z) \ (y * z),u,u \ 1). [hyper(286,a,14632,a,b,14633,a),flip(a)]. given #12551 (H,wt=27): 14634 (T(x,y) / y) * a(T(y,x) \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). [para(14632(a,2),4051(a,1,2))]. given #12552 (H,wt=31): 14382 K((x * y) * T(z,y),u) * K(z * y,K(x,L(u,y,z))) = K((z * y) * R(x,y,z),u). [para(14364(a,1),12161(a,1,2,2))]. given #12553 (H,wt=31): 14424 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z),x \ 1)) = x * ((L(x,y,z) \ 1) * K(u,w)). [para(14420(a,1),11838(a,1,2))]. given #12554 (H,wt=23): 14642 x * ((L(x,y,z) \ 1) * K(u,w)) = (L(x,y,z) \ x) * K(u,w). [para(14295(a,1),14424(a,1,2)),flip(a)]. given #12555 (H,wt=21): 14643 (L(x,y,z) \ x) * K(u,w) = x * (L(x,y,z) \ K(u,w)). [para(13512(a,1),14642(a,1,2)),flip(a)]. given #12556 (H,wt=23): 14645 x * (L(x,y \ 1,y) \ K(z,u)) = a(y,y \ 1,x) * K(z,u). [para(713(a,1),14643(a,1,1)),flip(a)]. given #12557 (H,wt=31): 14445 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(62,a,7771,a(flip),b,14409,a)]. given #12558 (H,wt=31): 14497 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,14493,a)]. given #12559 (H,wt=24): 14646 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12473(a,1),14497(a,1,1))]. given #12560 (H,wt=24): 14647 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8115(a,1),14646(a,1,1,2))]. given #12561 (H,wt=25): 14648 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12839,a,14647,a)]. given #12562 (H,wt=29): 14649 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8273(a,2),14648(a,1,2,2))]. given #12563 (H,wt=29): 14650 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9153(a,2),14649(a,1,2))]. given #12564 (H,wt=31): 14569 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(286,a,13152,a(flip),b,14568,a),flip(a)]. given #12565 (H,wt=27): 14652 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(10(a,1),14569(a,1,2,1,2))]. given #12566 (H,wt=31): 14641 K((x * y) * T(z,y),u) * K(x,K(z * y,L(u,y,z))) = K((z * y) * R(x,y,z),u). [para(8056(a,1),14382(a,1,2))]. given #12567 (H,wt=28): 14653 K((x * y) * T(z,y),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(12709(a,1),14641(a,1,2))]. given #12568 (H,wt=32): 14441 K(x,L(y,z * u,a(K(x,y),z,u))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [hyper(286,a,81,a(flip),b,14399,a),flip(a)]. given #12569 (H,wt=32): 14556 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(14553(a,1),14079(a,1,2,2)),flip(a)]. given #12570 (H,wt=26): 14656 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(286,a,13833,a(flip),b,14556,a),flip(a)]. given #12571 (H,wt=24): 14658 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(251(a,1),14656(a,2,2))]. given #12572 (H,wt=32): 14640 a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(T(z,T(u,x)),x,y),w,w \ 1). [para(9412(a,1),14639(a,1,1,1)),flip(a)]. given #12573 (H,wt=28): 14659 a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(z,x,y),w,w \ 1). [hyper(286,a,14631,a(flip),b,14640,a),flip(a)]. given #12574 (H,wt=32): 14655 K(x,L(y,z * u,a(x,z,K(u,y)))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [para(14176(a,1),14441(a,1,1,2,3))]. given #12575 (H,wt=33): 14317 K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y \ 1)) = K(x,L(y,z,(K(v6,v5) * w) * (u \ 1))). [para(13627(a,1),14261(a,2,2,3))]. given #12576 (H,wt=33): 14422 K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z),x \ 1)) = K(((L(x,y,z) \ 1) * x) \ u,w). [hyper(62,a,11843,a(flip),b,14420,a),flip(a)]. given #12577 (H,wt=25): 14661 K(((L(x,y,z) \ 1) * x) \ u,w) = K((L(x,y,z) \ 1) \ (x \ u),w). [hyper(62,a,14295,a(flip),b,14422,a),flip(a)]. given #12578 (H,wt=23): 14663 K(((L(x,y,z) \ 1) * x) \ u,w) = K(L(x,y,z) * (x \ u),w). [hyper(286,a,13494,a(flip),b,14661,a),flip(a)]. given #12579 (H,wt=21): 14664 K((L(x,y,z) \ x) \ u,w) = K(L(x,y,z) * (x \ u),w). [para(4902(a,1),14663(a,1,1,1))]. given #12580 (H,wt=23): 14665 K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). [para(6339(a,1),14664(a,1,1,1)),flip(a)]. given #12581 (H,wt=33): 14431 K(L((x * a(y,z,K(u,w))) / v5,v5,a(w,z,K(u,y))),v6) = K(x / (v5 * a(w,z,K(u,y))),v6). [para(14204(a,1),14366(a,1,1,1,1))]. given #12582 (H,wt=33): 14433 K((x / y) * a(z,u,K(w,v5)),L(v6,a(v5,u,K(w,z)),y)) = K(x / (a(v5,u,K(w,z)) * y),v6). [para(14204(a,1),14378(a,1,1))]. given #12583 (H,wt=33): 14439 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,x,a(y,z,z \ 1))). [para(10755(a,2),14396(a,1,2))]. given #12584 (H,wt=25): 14666 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,u). [hyper(286,a,14519,a(flip),b,14439,a),flip(a)]. given #12585 (H,wt=33): 14454 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7736(a,1),14450(a,1,1,1))]. given #12586 (H,wt=33): 14477 K(((x * K(y,z)) * u) \ x,T(w,u)) = K((K(z,y) * (x * K(y,z))) / (u * (x * K(y,z))),w). [para(6895(a,1),14429(a,2,1,1,1))]. given #12587 (H,wt=29): 14668 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(T(x,K(y,z)) / (u * (x * K(y,z))),w). [para(5845(a,1),14477(a,2,1,1))]. given #12588 (H,wt=33): 14478 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y \ K(z,u))). [para(13627(a,1),14429(a,1,1)),flip(a)]. given #12589 (H,wt=33): 14609 K(x,L((L(y,z,u) \ y) \ w,y,(L(y,z,u) \ 1) \ 1)) = K(x,y \ ((L(y,z,u) \ 1) \ w)). [para(4902(a,1),14605(a,1,2,1,1))]. given #12590 (H,wt=29): 14669 K(x,L((L(y,z,u) \ y) \ w,y,L(y,z,u))) = K(x,y \ ((L(y,z,u) \ 1) \ w)). [para(3508(a,1),14609(a,1,2))]. given #12591 (H,wt=33): 14651 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(9488(a,2),14650(a,1,2,2,2))]. given #12592 (H,wt=34): 14491 ((x * y) * K(z,u)) * K(u,L(z,y,L(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(14489(a,1),12217(a,1,2))]. given #12593 (H,wt=34): 14575 (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((x \ K(y,z)) / (v5 \ 1)) * (v5 \ K(u,w)). [para(13620(a,1),14573(a,1,2,2,3,2))]. given #12594 (H,wt=34): 14611 K(x,L((y / (z * u)) \ w,K(u,z),(y / (u * z)) \ 1)) = K(x,K(u,z) \ ((y / (u * z)) \ w)). [para(10819(a,1),14605(a,1,2,1,1))]. given #12595 (H,wt=34): 14671 (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((v5 \ (K(z,y) * x)) \ 1) * (v5 \ K(u,w)). [para(13626(a,2),14575(a,2,1))]. given #12596 (H,wt=35): 14476 K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((K(x,x \ y) * y) \ z,T(u,y)). [para(4856(a,1),14429(a,2,1,2)),flip(a)]. given #12597 (H,wt=33): 14672 K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((x * (y / x)) \ z,T(u,y)). [para(4674(a,1),14476(a,2,1,1))]. given #12598 (H,wt=27): 14673 K(T(x,K(y,y \ z)) / (y * (z / y)),u) = K((y * (z / y)) \ x,T(u,z)). [para(7896(a,1),14672(a,1,1,1))]. given #12599 (H,wt=36): 14608 K(x,L((y \ z) \ u,T(z,y \ 1),(z \ (y \ z)) \ 1)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). [para(3882(a,1),14605(a,1,2,1,1))]. given #12600 (H,wt=37): 14214 x * ((y * ((x * y) \ 1)) * a(z,y \ 1,K(x \ 1,y))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(14187(a,2),12333(a,1,2,2))]. given #12601 (H,wt=28): 14674 T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * ((y * ((x * y) \ 1)) * 1). [para(6701(a,1),14214(a,1,2,2)),flip(a)]. given #12602 (H,wt=26): 14675 T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). [para(8(a,1),14674(a,2,2))]. given #12603 (H,wt=25): 14677 T((x * (y * ((x * y) \ 1))) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). [para(6398(a,1),14675(a,1,1,1,1,2))]. given #12604 (H,wt=25): 14678 T(((x * y) * (y \ 1)) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(6415(a,1),14677(a,1,1,1))]. given #12605 (H,wt=24): 14679 T(R(x,y,y \ 1) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(458(a,1),14678(a,1,1,1,1))]. given #12606 (H,wt=22): 14680 T(x \ R(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(1045(a,1),14679(a,1,1,1))]. given #12607 (H,wt=20): 14681 T(a(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(717(a,1),14680(a,1,1,1))]. given #12608 (H,wt=18): 14682 x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. [para(107(a,1),14681(a,1,1)),flip(a)]. given #12609 (H,wt=19): 14683 a(x * y,y \ 1,y) \ 1 = a(x,y,y \ 1) \ 1. [hyper(62,a,12342,a,b,14682,a)]. given #12610 (H,wt=19): 14684 a(x / y,y,y \ 1) \ 1 = a(x,y \ 1,y) \ 1. [para(12(a,1),14683(a,1,1,1)),flip(a)]. given #12611 (H,wt=19): 14685 a(x \ y,x,x \ 1) \ 1 = a(y,x \ 1,x) \ 1. [para(14632(a,2),14684(a,1,1))]. given #12612 (H,wt=15): 14686 a(x \ y,x,x \ 1) = a(y,x \ 1,x). [hyper(47,a,14685,a)]. given #12613 (H,wt=25): 14687 a((x \ 1) \ y,x \ 1,(x \ 1) \ 1) \ 1 = a(y,x,x \ 1) \ 1. [para(4893(a,1),14685(a,2,1,2))]. given #12614 (H,wt=21): 14689 a((x \ 1) \ y,x \ 1,x) \ 1 = a(y,x,x \ 1) \ 1. [para(3513(a,1),14687(a,1,1))]. given #12615 (H,wt=21): 14690 a(x \ 1,x,x \ (y \ 1)) \ 1 = a(y,x,x \ 1) \ 1. [para(14638(a,1),14689(a,1,1))]. given #12616 (H,wt=21): 14691 a(x \ 1,y,y \ 1) \ 1 = a(y \ 1,y,y \ x) \ 1. [para(4893(a,1),14690(a,1,1,3,2)),flip(a)]. given #12617 (H,wt=19): 14692 a(x \ 1,x,x \ y) \ 1 = a(x,x \ 1,y) \ 1. [para(6999(a,1),14691(a,1,1)),flip(a)]. given #12618 (H,wt=15): 14693 a(x \ 1,x,x \ y) = a(x,x \ 1,y). [hyper(47,a,14692,a)]. given #12619 (H,wt=15): 14696 a(x,x \ 1,x * y) = a(x \ 1,x,y). [para(9(a,1),14693(a,1,3)),flip(a)]. given #12620 (H,wt=17): 14697 a((x * y) \ 1,x,x \ 1) = a(x \ 1,x,y). [hyper(7001,a,14696,a)]. given #12621 (H,wt=20): 14694 a(x,x \ 1,(x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)). [hyper(62,a,7437,a(flip),b,14693,a),flip(a)]. given #12622 (H,wt=38): 14460 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(8128(a,1),14388(a,2,2,1,2))]. given #12623 (H,wt=33): 14698 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(8327(a,1),14460(a,1,2)),flip(a)]. given #12624 (H,wt=29): 14699 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),14698(a,2,2,1))]. given #12625 (H,wt=38): 14552 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). [para(14548(a,1),13795(a,2,1))]. given #12626 (H,wt=39): 14398 K(x,L(x \ R(y,z,u),(x \ R(y,z,u)) * x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [hyper(62,a,5694,a(flip),b,14374,a),flip(a)]. given #12627 (H,wt=32): 14700 K(x,L(x \ R(y,z,u),x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [hyper(11771,a,14398,a)]. given #12628 (H,wt=27): 14701 ((x * y) * z) / (((u \ R(x,y,z)) * u) * (y * z)) = K(u,u \ R(x,y,z)). [hyper(10625,a,14700,a),flip(a)]. given #12629 (H,wt=27): 14703 ((x * y) * z) / (R((u \ x) * u,y,z) * (y * z)) = K(u,u \ R(x,y,z)). [para(3583(a,2),14701(a,1,2,1))]. given #12630 (H,wt=24): 14704 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,u \ R(x,y,z)). [para(104(a,1),14703(a,1,2))]. given #12631 (H,wt=40): 14467 (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(T(u,a(y,z,z \ 1)),a(y,z,z \ 1),x)). [para(10755(a,1),14438(a,1,1))]. given #12632 (H,wt=33): 14705 (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(u,a(y,z,z \ 1),x)). [para(10754(a,1),14467(a,2,2,1))]. given #12633 (H,wt=41): 14570 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(6740(a,1),14568(a,2,2,1))]. given #12634 (H,wt=33): 14706 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),14570(a,1,2,1,2))]. given #12635 (H,wt=41): 14670 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(7851(a,2),14651(a,1,2,2))]. given #12636 (H,wt=21): 14707 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(7032(a,2),14670(a,1,2))]. given #12637 (H,wt=21): 14708 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8115(a,1),14707(a,1,2,1,2))]. given #12638 (H,wt=21): 14712 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8115(a,1),14708(a,1,2))]. given #12639 (H,wt=15): 14714 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(62,a,14707,a(flip),b,14712,a)]. given #12640 (H,wt=17): 14715 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(115,a,14714,a,b,4659,a(flip))]. given #12641 (H,wt=15): 14720 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4728,a,14715,a)]. given #12642 (H,wt=17): 14717 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4675(a,1),14714(a,1,2)),flip(a)]. given #12643 (H,wt=17): 14718 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5741(a,1),14714(a,1,2)),flip(a)]. given #12644 (H,wt=17): 14722 K(x,K(y \ z,y) * u) = K(x,K(y,z) * u). [hyper(286,a,13131,a(flip),b,14720,a),flip(a)]. given #12645 (H,wt=17): 14724 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(4675(a,1),14720(a,1,2)),flip(a)]. given #12646 (H,wt=17): 14725 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5741(a,1),14720(a,1,2)),flip(a)]. given #12647 (H,wt=17): 14730 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5840(a,1),14717(a,1,2))]. given #12648 (H,wt=15): 14739 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(204(a,1),14730(a,1,2,1)),flip(a)]. given #12649 (H,wt=17): 14731 T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u). [para(5716(a,2),14718(a,1,2))]. given #12650 (H,wt=17): 14732 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(286,a,14720,a,b,14722,a),flip(a)]. given #12651 (H,wt=17): 14734 K(x,K(y,z * y) * u) = K(x,K(z,y) * u). [para(4776(a,1),14722(a,1,2,1)),flip(a)]. given #12652 (H,wt=17): 14735 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(5885(a,1),14724(a,1,2))]. given #12653 (H,wt=17): 14736 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(6020(a,1),14724(a,1,2)),flip(a)]. given #12654 (H,wt=17): 14737 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5716(a,2),14725(a,1,2))]. given #12655 (H,wt=17): 14738 K(x,T(y \ z,y) \ u) = K(x,(z / y) \ u). [para(6001(a,1),14725(a,1,2)),flip(a)]. given #12656 (H,wt=18): 14721 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(14715(a,1),4728(a,1))]. given #12657 (H,wt=19): 14728 K(x,K(y,z) * ((y * z) * u)) = K(x,(z * y) * u). [para(11376(a,1),14720(a,1,2)),flip(a)]. given #12658 (H,wt=17): 14746 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(11457(a,1),14728(a,1,2))]. given #12659 (H,wt=19): 14733 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(286,a,14715,a,b,14722,a),flip(a)]. given #12660 (H,wt=17): 14748 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [hyper(4662,a,14733,a)]. given #12661 (H,wt=17): 14749 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(9(a,1),14748(a,1,2,1,1)),flip(a)]. given #12662 (H,wt=17): 14750 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(62,a,14714,a,b,14749,a)]. given #12663 (H,wt=19): 14740 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12152,a,14739,a),flip(a)]. given #12664 (H,wt=15): 14752 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12137,a,14740,a),flip(a)]. given #12665 (H,wt=17): 14754 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(203(a,1),14752(a,1,2,2,1)),flip(a)]. given #12666 (H,wt=18): 14753 T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. [para(14740(a,1),12137(a,1))]. given #12667 (H,wt=19): 14755 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14754(a,1),4617(a,2,2))]. given #12668 (H,wt=17): 14756 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(286,a,4617,a,b,14755,a),flip(a)]. given #12669 (H,wt=17): 14758 K(x * (y * K(z,y)),u) = K(x * T(y,z),u). [para(4636(a,1),14756(a,1,1,2))]. given #12670 (H,wt=20): 14723 K(x,K(y,z) * u) != w | x \ T(x,K(z,y) * u) = w. [para(14720(a,1),4637(a,1))]. given #12671 (H,wt=20): 14741 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4023(a,1),14737(a,1,2,1))]. given #12672 (H,wt=17): 14760 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(62,a,14054,a(flip),b,14741,a),flip(a)]. given #12673 (H,wt=17): 14762 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(12(a,1),14760(a,1,2,1,1)),flip(a)]. given #12674 (H,wt=20): 14744 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(14722(a,2),14721(a,1))]. given #12675 (H,wt=20): 14745 K(x,K(y \ z,y) * u) != w | K(x,K(y,z) * u) = w. [para(14732(a,2),14721(a,1))]. given #12676 (H,wt=20): 14765 K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. [para(14720(a,1),14745(a,1))]. given #12677 (H,wt=21): 14713 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(131,a,14712,a),flip(a)]. given #12678 (H,wt=21): 14716 (K(x,y) * z) * T(u,K(y,x) * z) = u * (K(x,y) * z). [para(14714(a,1),108(a,1,2))]. given #12679 (H,wt=21): 14726 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7834(a,1),14720(a,1,2)),flip(a)]. given #12680 (H,wt=21): 14743 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(z / y) \ u). [hyper(62,a,13565,a,b,14738,a)]. given #12681 (H,wt=22): 14729 K(x,K(L(y,z,u),w) * (z * u)) = K(x,(K(w,y) * z) * u). [para(14399(a,1),14720(a,1,2)),flip(a)]. given #12682 (H,wt=22): 14763 K(x,L((y / z) \ u,y / z,z)) = K(x,T(y,z) \ (z * u)). [para(94(a,2),14762(a,1,2))]. given #12683 (H,wt=23): 14742 K(x,((y \ ((z \ 1) * y)) \ 1) \ u) = K(x,T(z,y \ 1) \ u). [para(6421(a,2),14737(a,1,2,1))]. given #12684 (H,wt=21): 14767 K(x,(T(y \ 1,z) \ 1) \ u) = K(x,T(y,z \ 1) \ u). [para(22(a,2),14742(a,1,2,1,1))]. given #12685 (H,wt=19): 14768 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(13568,a,14767,a),flip(a)]. given #12686 (H,wt=23): 14751 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12153,a,14750,a),flip(a)]. given #12687 (H,wt=17): 14769 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12151,a,14751,a),flip(a)]. given #12688 (H,wt=25): 14709 x \ T(y * T(x,K(z,u)),K(z \ 1,u)) = T(y,K(u,z \ 1) * x). [para(8372(a,1),14707(a,1,2,1,2))]. given #12689 (H,wt=23): 14770 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z \ 1) * x). [para(8372(a,1),14709(a,1,2))]. given #12690 (H,wt=17): 14771 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(62,a,14707,a(flip),b,14770,a),flip(a)]. given #12691 (H,wt=17): 14772 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(6455(a,1),14771(a,1,2,1)),flip(a)]. given #12692 (H,wt=19): 14773 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(115,a,14772,a(flip),b,4659,a(flip)),flip(a)]. given #12693 (H,wt=17): 14775 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(286,a,4614,a,b,14773,a),flip(a)]. given #12694 (H,wt=17): 14777 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(14721,a,14775,a)]. given #12695 (H,wt=17): 14779 K(x,K(y,z \ 1) * u) = K(x,K(y,z) * u). [para(6455(a,1),14775(a,1,2,1)),flip(a)]. given #12696 (H,wt=19): 14782 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6717(a,1),14777(a,1,2,1)),flip(a)]. given #12697 (H,wt=17): 14792 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(14744,a,14782,a),flip(a)]. given #12698 (H,wt=19): 14794 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(62,a,14725,a(flip),b,14792,a)]. given #12699 (H,wt=17): 14796 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5741(a,1),14794(a,2,2))]. given #12700 (H,wt=20): 14776 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(14773(a,2),4728(a,1))]. given #12701 (H,wt=20): 14785 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(14777(a,2),14721(a,1))]. given #12702 (H,wt=20): 14791 K(x,K(y,z \ 1) * u) != w | K(x,K(z,y) * u) = w. [para(14779(a,2),14721(a,1))]. given #12703 (H,wt=20): 14797 K(x,K(y,z) * u) != w | K(x,K(y,z \ 1) * u) = w. [para(6455(a,1),14776(a,1,2,1))]. given #12704 (H,wt=21): 14778 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5703(a,1),14775(a,1,2)),flip(a)]. given #12705 (H,wt=21): 14783 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8390(a,1),14777(a,1,2)),flip(a)]. given #12706 (H,wt=17): 14801 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8124(a,1),14783(a,1,2)),flip(a)]. given #12707 (H,wt=19): 14802 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(14801(a,1),4794(a,1,2)),flip(a)]. given #12708 (H,wt=17): 14803 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(286,a,4794,a(flip),b,14802,a),flip(a)]. given #12709 (H,wt=21): 14787 (x * K(y,K(z,u) * w)) \ x = K(K(z,u \ 1) * w,y). [para(14779(a,1),6895(a,1,1,2))]. given #12710 (H,wt=17): 14806 K(K(x,y \ 1) * z,u) = K(K(x,y) * z,u). [hyper(6902,a,14787,a),flip(a)]. given #12711 (H,wt=19): 14808 K(T(x \ 1,y) * z,u) = K(K(x,y) * (x \ z),u). [hyper(62,a,13847,a(flip),b,14806,a)]. given #12712 (H,wt=19): 14809 K(K(x \ y,z) * u,w) = K(K(y \ x,z) * u,w). [para(6787(a,1),14806(a,1,1,1))]. given #12713 (H,wt=20): 14807 K(K(x,y \ 1) * z,u) != w | K(K(x,y) * z,u) = w. [para(14787(a,1),6902(a,1))]. given #12714 (H,wt=21): 14810 K(K(x,y \ (z \ 1)) * u,w) = K(K(x,z * y) * u,w). [para(13506(a,1),14806(a,1,1,1))]. given #12715 (H,wt=22): 14793 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u \ z) * w) = v5. [para(14782(a,1),14721(a,1))]. given #12716 (H,wt=22): 14814 K(K(x \ y,z) * u,w) != v5 | K(K(y \ x,z) * u,w) = v5. [para(6787(a,1),14807(a,1,1,1))]. given #12717 (H,wt=23): 14774 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8124(a,1),14772(a,1,2)),flip(a)]. given #12718 (H,wt=21): 14816 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8385(a,1),14774(a,1,2,2))]. given #12719 (H,wt=17): 14817 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(108(a,1),14816(a,1,2)),flip(a)]. given #12720 (H,wt=23): 14780 K(x,K(y \ K(z,u),w) * v5) = K(x,K(K(u,z) * y,w) * v5). [para(6795(a,1),14775(a,1,2,1))]. given #12721 (H,wt=23): 14788 K(x,K(y,((z * u) / z) \ 1) * w) = K(x,K(y,T(u,z)) * w). [para(8170(a,1),14779(a,2,2,1))]. given #12722 (H,wt=21): 14818 K(x,K(y,z / (z * u)) * w) = K(x,K(y,T(u,z)) * w). [para(5964(a,1),14788(a,1,2,1))]. given #12723 (H,wt=23): 14804 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(12131,a,14803,a)]. given #12724 (H,wt=24): 14812 K(K(x,L(y,z,u) \ 1) * (z * u),w) = K((K(x,y) * z) * u,w). [para(14399(a,1),14806(a,2,1))]. given #12725 (H,wt=24): 14819 K(K(x,L(y \ 1,z,u)) * (z * u),w) = K((K(x,y) * z) * u,w). [para(11748(a,2),14812(a,1,1,1))]. given #12726 (H,wt=21): 14820 K((K(x,y \ 1) * z) * u,w) = K((K(x,y) * z) * u,w). [para(14399(a,1),14819(a,1,1))]. given #12727 (H,wt=25): 14764 K(x,((y \ 1) * ((y \ z) \ 1)) \ u) = K(x,T(z \ 1,y \ 1) \ u). [para(6395(a,1),14762(a,1,2,1,2))]. given #12728 (H,wt=23): 14821 K(x,T(y \ 1,z \ 1) \ u) = K(x,(((z \ y) * z) \ 1) \ u). [para(6394(a,1),14764(a,1,2,1)),flip(a)]. given #12729 (H,wt=21): 14822 K(x,T(y \ 1,z \ 1) \ u) = K(x,((z \ y) * z) * u). [hyper(286,a,13500,a(flip),b,14821,a),flip(a)]. given #12730 (H,wt=24): 14823 K(x,T(y \ 1,z \ 1) \ u) != w | K(x,((z \ y) * z) * u) = w. [para(14821(a,2),13568(a,1))]. given #12731 (H,wt=25): 14795 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7834(a,1),14792(a,1,2))]. given #12732 (H,wt=23): 14825 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(286,a,14726,a(flip),b,14795,a),flip(a)]. given #12733 (H,wt=21): 14826 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10388(a,1),14825(a,1,2))]. given #12734 (H,wt=26): 14798 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u \ K(z,y),w) * v5) = v6. [para(13620(a,1),14776(a,1,2,1,1))]. given #12735 (H,wt=27): 14710 x \ T(y * T(x,K(z,u \ w)),K(z,w \ u)) = T(y,K(w \ u,z) * x). [para(8413(a,1),14707(a,1,2,1,2))]. given #12736 (H,wt=27): 14747 K(x,(y * z) * u) * K(x,K(T(z,y) * y,u)) = K(x,u * (T(z,y) * y)). [para(14746(a,1),12192(a,1,1))]. given #12737 (H,wt=25): 14829 K(x,(y * z) * u) * K(x,K(y * z,u)) = K(x,u * (T(z,y) * y)). [para(12126(a,1),14747(a,1,2,2))]. given #12738 (H,wt=17): 14830 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [hyper(62,a,12192,a(flip),b,14829,a),flip(a)]. given #12739 (H,wt=27): 14789 K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(((u \ 1) \ z) * y,w) * v5). [para(13710(a,1),14779(a,1,2,1))]. given #12740 (H,wt=27): 14790 K(x,K(((y \ 1) / z) / u,w) * v5) = K(x,K(u * ((z \ 1) \ y),w) * v5). [para(13716(a,1),14779(a,1,2,1))]. given #12741 (H,wt=27): 14811 K(K(x \ ((y \ 1) \ z),u) * w,v5) = K(K(((z \ 1) / y) * x,u) * w,v5). [para(13711(a,1),14806(a,1,1,1))]. given #12742 (H,wt=27): 14813 K(K(x \ ((y \ 1) * z),u) * w,v5) = K(K(((z \ 1) * y) * x,u) * w,v5). [para(13539(a,1),14809(a,1,1,1)),flip(a)]. given #12743 (H,wt=28): 14766 K(x,(T(y \ z,y) \ 1) * u) != w | K(x,K(y,z) * (((y \ z) \ 1) * u)) = w. [para(6510(a,1),14765(a,1,2))]. given #12744 (H,wt=26): 14832 K(x,T(y \ z,y) \ u) != w | K(x,K(y,z) * (((y \ z) \ 1) * u)) = w. [para(13501(a,1),14766(a,1))]. given #12745 (H,wt=28): 14781 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(14775(a,1),10034(a,1,1))]. given #12746 (H,wt=23): 14833 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9925,a,14781,a),flip(a)]. given #12747 (H,wt=21): 14834 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6368(a,1),14833(a,1,2,1))]. given #12748 (H,wt=28): 14784 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(14777(a,1),10035(a,1,1))]. given #12749 (H,wt=23): 14835 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9925,a,14784,a),flip(a)]. given #12750 (H,wt=21): 14836 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(7160(a,1),14835(a,1,2,1))]. given #12751 (H,wt=28): 14805 K((x * y) * K(z,(L(u,y,x) \ 1) \ 1),w) = K(x * (y * K(u \ 1,z)),w). [para(6247(a,1),14803(a,2,1))]. given #12752 (H,wt=24): 14838 K((x * y) * K(z,L(u,y,x)),w) = K(x * (y * K(u \ 1,z)),w). [para(3314(a,1),14805(a,1,1,2))]. given #12753 (H,wt=29): 14727 K(x,y \ (K(z,u) * w)) * K(x,K(y,K(u,z) * w)) = K(x,(K(z,u) * w) / y). [para(14720(a,1),8683(a,1,2,2))]. given #12754 (H,wt=29): 14757 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1329(a,1),14756(a,2,1))]. given #12755 (H,wt=25): 14840 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1817(a,1),14757(a,1,1))]. given #12756 (H,wt=21): 14841 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4648(a,1),14840(a,1,1,2)),flip(a)]. given #12757 (H,wt=19): 14842 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4615(a,1),14841(a,1,1,2))]. given #12758 (H,wt=25): 14843 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(14842(a,1),13580(a,1,1,2))]. given #12759 (H,wt=19): 14844 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(13581,a,14843,a),flip(a)]. given #12760 (H,wt=29): 14786 K(x,K(y,(z \ (u \ 1)) * (w \ 1)) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). [para(6424(a,1),14779(a,1,2,1,2))]. given #12761 (H,wt=27): 14845 K(x,K(y,(z \ (u \ 1)) / w) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). [para(13554(a,1),14786(a,1,2,1))]. given #12762 (H,wt=30): 14719 ((x * K(y,z)) * u) / T(x,K(z,y) * u) = ((K(y,z) * u) * R(x,K(y,z),u)) / x. [para(14714(a,1),14468(a,1,2))]. given #12763 (H,wt=30): 14759 K((x * y) * (z * K(y,z)),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(14758(a,2),14653(a,1,1))]. given #12764 (H,wt=28): 14846 K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(6834(a,1),14759(a,1,1,1))]. given #12765 (H,wt=30): 14799 K(x,K(y \ ((z \ 1) / u),w) * v5) != v6 | K(x,K(((u \ 1) \ z) * y,w) * v5) = v6. [para(13710(a,1),14785(a,1,2,1))]. given #12766 (H,wt=30): 14815 K(K(x \ ((y \ 1) \ z),u) * w,v5) != v6 | K(K(((z \ 1) / y) * x,u) * w,v5) = v6. [para(13711(a,1),14807(a,1,1,1))]. given #12767 (H,wt=31): 14824 K(x,(((K(y,z) * u) \ w) * (K(y,z) * u)) * v5) = K(x,T(w \ 1,u \ K(z,y)) \ v5). [para(13570(a,1),14822(a,1,2,1,2)),flip(a)]. given #12768 (H,wt=31): 14827 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14706,a(flip),b,14826,a)]. given #12769 (H,wt=29): 14847 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14834,a(flip),b,14827,a)]. given #12770 (H,wt=27): 14848 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14052,a(flip),b,14847,a)]. given #12771 (H,wt=25): 14849 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4659(a,2),14848(a,1,2,1))]. given #12772 (H,wt=31): 14850 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(3913(a,1),14849(a,1,2,1))]. given #12773 (H,wt=29): 14851 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),14850(a,1,2,2,1))]. given #12774 (H,wt=27): 14852 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),14851(a,1,2,2,2,2))]. given #12775 (H,wt=23): 14853 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8317(a,1),14852(a,2,2))]. given #12776 (H,wt=33): 14800 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4704(a,1),14778(a,1,2,2)),flip(a)]. given #12777 (H,wt=31): 14855 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8183(a,1),14800(a,2,2,1))]. given #12778 (H,wt=29): 14856 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8146(a,1),14855(a,2,2))]. given #12779 (H,wt=21): 14857 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4704(a,1),14856(a,1,2,2,1,2))]. given #12780 (H,wt=17): 14858 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5700(a,1),14857(a,1,2))]. given #12781 (H,wt=19): 14859 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(14858(a,1),4794(a,1,2)),flip(a)]. given #12782 (H,wt=17): 14860 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(286,a,4794,a(flip),b,14859,a),flip(a)]. given #12783 (H,wt=21): 14861 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(62,a,12106,a(flip),b,14860,a),flip(a)]. given #12784 (H,wt=21): 14862 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(62,a,14804,a,b,14861,a)]. given #12785 (H,wt=25): 14863 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12216,a,14862,a)]. given #12786 (H,wt=21): 14864 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(286,a,12211,a(flip),b,14863,a)]. given #12787 (H,wt=19): 14865 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4480(a,1),14864(a,1,1))]. given #12788 (H,wt=20): 14866 K(((x * y) / x) / z,u) != w | K(T(y,x) / z,u) = w. [para(14865(a,1),8347(a,1))]. given #12789 (H,wt=23): 14867 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(14866,a,10322,a(flip)),flip(a)]. given #12790 (H,wt=21): 14868 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(13188,a,14867,a),flip(a)]. given #12791 (H,wt=17): 14869 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(13192,a,14868,a),flip(a)]. given #12792 (H,wt=15): 14870 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4670(a,1),14869(a,1,1,2)),flip(a)]. given #12793 (H,wt=17): 14871 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(14870(a,1),4794(a,1,2)),flip(a)]. given #12794 (H,wt=15): 14872 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(286,a,4794,a(flip),b,14871,a),flip(a)]. given #12795 (H,wt=17): 14873 K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). [para(110(a,1),14872(a,1,2,2,1))]. given #12796 (H,wt=17): 14874 K(x,y \ ((z * u) / z)) = K(x,y \ T(u,z)). [para(203(a,1),14872(a,1,2,2,1)),flip(a)]. given #12797 (H,wt=17): 14877 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4635(a,1),14872(a,1,2,2,1)),flip(a)]. given #12798 (H,wt=17): 14879 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(9633,a,14877,a)]. given #12799 (H,wt=21): 14875 K(x,y \ (T(z,z * u) * u)) = K(x,y \ T(z * u,z)). [para(3689(a,1),14872(a,1,2,2,1)),flip(a)]. given #12800 (H,wt=19): 14881 K(x,y \ (T(z,z * u) * u)) = K(x,y \ (u * z)). [hyper(286,a,13120,a(flip),b,14875,a),flip(a)]. given #12801 (H,wt=21): 14880 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2930(a,2),14879(a,1,2,2))]. given #12802 (H,wt=23): 14876 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3954(a,1),14872(a,1,2,2,1))]. given #12803 (H,wt=21): 14883 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(62,a,13120,a(flip),b,14876,a)]. given #12804 (H,wt=17): 14884 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3924(a,1),14883(a,1,2,2)),flip(a)]. given #12805 (H,wt=19): 14885 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(62,a,14853,a(flip),b,14884,a),flip(a)]. given #12806 (H,wt=25): 14878 K(x,y \ (((z * u) \ 1) / (u \ 1))) = K(x,y \ T(z \ 1,u \ 1)). [para(6394(a,1),14874(a,1,2,2,1))]. given #12807 (H,wt=23): 14887 K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ ((u \ (z * u)) \ 1)). [para(6395(a,1),14878(a,1,2,2)),flip(a)]. given #12808 (H,wt=21): 14888 K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ (T(z,u) \ 1)). [para(22(a,2),14887(a,2,2,2,1))]. given #12809 (H,wt=33): 14828 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(6365(a,1),14826(a,1,2,2,2)),flip(a)]. given #12810 (H,wt=29): 14889 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(4893(a,1),14828(a,2,2,2,2,1))]. given #12811 (H,wt=27): 14890 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8319(a,1),14889(a,1,2))]. given #12812 (H,wt=21): 14891 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(10096(a,1),14890(a,1,2)),flip(a)]. given #12813 (H,wt=19): 14892 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(286,a,8423,a(flip),b,14891,a),flip(a)]. given #12814 (H,wt=23): 14894 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(62,a,14652,a(flip),b,14892,a)]. given #12815 (H,wt=33): 14831 K(x,y * (T(z,u \ (w * v5)) * (u \ T(v5 * w,v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). [para(13125(a,1),14830(a,1,2,2,1))]. given #12816 (H,wt=34): 14837 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(8067(a,1),14836(a,2,2))]. given #12817 (H,wt=30): 14896 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(8822(a,1),14837(a,1,2,2,2))]. given #12818 (H,wt=30): 14897 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(8060(a,2),14896(a,1,2,2))]. given #12819 (H,wt=26): 14899 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8416(a,1),14897(a,1,2)),flip(a)]. given #12820 (H,wt=24): 14900 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(286,a,6729,a(flip),b,14899,a),flip(a)]. given #12821 (H,wt=19): 14901 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(62,a,14054,a(flip),b,14900,a)]. given #12822 (H,wt=17): 14902 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6993,a,14901,a),flip(a)]. given #12823 (H,wt=17): 14907 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(62,a,14844,a,b,14902,a)]. given #12824 (H,wt=19): 14908 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(62,a,14880,a(flip),b,14907,a),flip(a)]. given #12825 (H,wt=17): 14909 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(62,a,14879,a(flip),b,14908,a),flip(a)]. given #12826 (H,wt=17): 14910 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(73(a,1),14909(a,1,2,2,2)),flip(a)]. given #12827 (H,wt=19): 14911 K(x,y \ T(z \ 1,u)) = K(x,y \ (T(z,u) \ 1)). [hyper(62,a,14888,a(flip),b,14910,a),flip(a)]. given #12828 (H,wt=20): 14904 K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. [para(14901(a,1),6993(a,1))]. given #12829 (H,wt=21): 14912 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8472(a,1),14910(a,1,2,2))]. given #12830 (H,wt=21): 14913 K(x \ y,z \ T(u \ 1,w)) = K(y \ x,T(u,w) * z). [hyper(13703,a,14911,a(flip)),flip(a)]. given #12831 (H,wt=24): 14914 K(x \ y,z \ T(u \ 1,w)) != v5 | K(y \ x,T(u,w) * z) = v5. [para(14911(a,2),13703(a,1))]. given #12832 (H,wt=35): 14895 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(3953(a,1),14894(a,1,2,2,1))]. given #12833 (H,wt=33): 14915 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(9699(a,1),14895(a,1,2,1))]. given #12834 (H,wt=29): 14916 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3953(a,1),14915(a,1,2,2,2,2))]. given #12835 (H,wt=27): 14918 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(62,a,14796,a(flip),b,14916,a)]. given #12836 (H,wt=25): 14919 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(13102(a,1),14918(a,2,2))]. given #12837 (H,wt=21): 14920 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(62,a,14884,a(flip),b,14919,a)]. given #12838 (H,wt=37): 14882 K(x,y * (z \ (T(u,u * w) * w))) * K(x,K(y,z \ (w * u))) = K(x,(z \ (T(u,u * w) * w)) * y). [para(14881(a,1),12192(a,1,2,2))]. given #12839 (H,wt=37): 14886 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(8968(a,1),14885(a,1,2,2,2))]. given #12840 (H,wt=35): 14921 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(62,a,13126,a(flip),b,14886,a)]. given #12841 (H,wt=33): 14922 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14817(a,1),14921(a,1,2,2))]. given #12842 (H,wt=33): 14923 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5991(a,1),14922(a,1,2,2,2,2))]. given #12843 (H,wt=31): 14924 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14769(a,1),14923(a,1,2,2))]. given #12844 (H,wt=29): 14925 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4659(a,2),14924(a,1,2,2,2))]. given #12845 (H,wt=27): 14926 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(13148,a,14925,a),flip(a)]. given #12846 (H,wt=25): 14927 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(286,a,14760,a(flip),b,14926,a),flip(a)]. given #12847 (H,wt=25): 14928 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8471(a,1),14927(a,1,2))]. given #12848 (H,wt=23): 14929 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(8483,a,14928,a)]. given #12849 (H,wt=41): 14839 K(T(x,y) * (x \ (z * (y \ 1))),u) = K(z * ((y \ 1) * K(y \ 1,((z * (y \ 1)) \ (x \ (z * (y \ 1)))) \ 1)),u). [para(6970(a,2),14838(a,1,1))]. given #12850 (H,wt=37): 14931 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (x \ (x * (y \ 1)))) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),14839(a,1,1,2)),flip(a)]. given #12851 (H,wt=33): 14932 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (y \ 1)) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),14931(a,1,1,2,2,2,1,2))]. given #12852 (H,wt=31): 14934 K(x * ((y \ 1) * K(y \ 1,(y \ 1) \ (x * (y \ 1)))),z) = K(T(x,y) * (y \ 1),z). [para(6717(a,1),14932(a,1,1,2,2))]. given #12853 (H,wt=23): 14935 K(x * ((y \ 1) * K(y \ 1,x)),z) = K(T(x,y) * (y \ 1),z). [para(4786(a,1),14934(a,1,1,2,2))]. given #12854 (H,wt=19): 14936 K(T(x,y) * (y \ 1),z) = K(x * T(y \ 1,x),z). [para(4659(a,2),14935(a,1,1,2)),flip(a)]. given #12855 (H,wt=17): 14937 K(T(x,y) * (y \ 1),z) = K((y \ 1) * x,z). [para(108(a,1),14936(a,2,1))]. given #12856 (H,wt=44): 14471 K(x,(T(K(y,K(z,u)) * w,K(y,z)) * v5) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(11018(a,2),14469(a,1,2,1,1))]. given #12857 (H,wt=44): 14654 K(x * (y * T(y \ (x \ z),y)),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). [para(805(a,1),14653(a,1,1,1))]. given #12858 (H,wt=42): 14938 K(x * ((y \ (x \ z)) * y),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). [para(108(a,1),14654(a,1,1,1,2))]. given #12859 (H,wt=47): 14930 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(5702(a,1),14929(a,2,2,1))]. given #12860 (H,wt=43): 14939 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(8318(a,1),14930(a,2,2,2))]. given #12861 (H,wt=43): 14940 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(8649(a,2),14939(a,2,2,2))]. given #12862 (H,wt=41): 14941 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(286,a,14912,a(flip),b,14940,a),flip(a)]. given #12863 (H,wt=39): 14942 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(286,a,14836,a(flip),b,14941,a),flip(a)]. given #12864 (H,wt=37): 14943 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(286,a,14052,a(flip),b,14942,a),flip(a)]. given #12865 (H,wt=35): 14944 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(4659(a,2),14943(a,2,2,1))]. given #12866 (H,wt=33): 14945 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(286,a,14920,a(flip),b,14944,a),flip(a)]. given #12867 (H,wt=25): 14946 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(10(a,1),14945(a,1,2,1,2))]. given #12868 (H,wt=21): 14947 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7696(a,1),14946(a,1,2))]. given #12869 (H,wt=19): 14948 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12112(a,1),14947(a,1,2)),flip(a)]. given #12870 (H,wt=19): 14949 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(11(a,1),14948(a,1,2,1)),flip(a)]. given #12871 (H,wt=15): 14951 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(11(a,1),14949(a,1,2,1)),flip(a)]. given #12872 (H,wt=15): 14952 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8482,a,14951,a)]. given #12873 (H,wt=15): 14958 K(T(x,y * z),u) = K(x,T(u,z \ y)). [hyper(286,a,7777,a,b,14952,a)]. given #12874 (H,wt=15): 14959 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(62,a,14951,a(flip),b,14952,a)]. given #12875 (H,wt=16): 14954 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(14951(a,1),7719(a,1))]. given #12876 (H,wt=16): 14973 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(7723(a,1),14954(a,1))]. given #12877 (H,wt=17): 14970 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [para(13674(a,1),14959(a,1,2)),flip(a)]. given #12878 (H,wt=15): 14974 K(x,T(y,z \ u)) = K(x,T(y,u / z)). [hyper(62,a,11907,a(flip),b,14970,a),flip(a)]. given #12879 (H,wt=17): 14971 K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). [para(13720(a,2),14959(a,1,2))]. given #12880 (H,wt=18): 14955 K(x,T(y,z * u)) != w | K(x,T(y,u \ z)) = w. [para(14951(a,1),8482(a,1))]. given #12881 (H,wt=18): 14964 K(x,T(y,z \ u)) != w | K(x,T(y,u * z)) = w. [para(14958(a,1),7981(a,1))]. given #12882 (H,wt=18): 14979 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(14951(a,1),14964(a,1))]. given #12883 (H,wt=18): 14982 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(14952(a,2),14979(a,1))]. given #12884 (H,wt=19): 14950 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(76(a,1),14948(a,1,2,2)),flip(a)]. given #12885 (H,wt=19): 14961 K(x,y) * K(y,T(x,z * u)) = K(x,K(y,u \ z)). [para(14952(a,1),8082(a,1,2))]. given #12886 (H,wt=15): 14984 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(8243,a,14961,a),flip(a)]. given #12887 (H,wt=19): 14962 T(x * K(y,T(x,z * u)),y) = T(x,K(y,u \ z)). [para(14952(a,1),8335(a,1,1,2))]. given #12888 (H,wt=15): 14985 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [hyper(8470,a,14962,a),flip(a)]. given #12889 (H,wt=19): 14967 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(14959(a,1),7736(a,1,2))]. given #12890 (H,wt=19): 14975 K(x,T(y,(z \ 1) \ u)) = K(x,T(y,z \ (u \ 1))). [hyper(286,a,8430,a,b,14974,a),flip(a)]. given #12891 (H,wt=17): 14987 K(x,T(y,z \ (u \ 1))) = K(x,T(y,z * u)). [para(13677(a,1),14975(a,1,2)),flip(a)]. given #12892 (H,wt=19): 14980 K(x,T(y,z)) != u | K(x,T(y,R(x,w,v5) * z)) = u. [para(9352(a,1),14979(a,1))]. given #12893 (H,wt=19): 14983 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(13169(a,1),14950(a,1,2))]. given #12894 (H,wt=20): 14956 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(14951(a,1),8483(a,1))]. given #12895 (H,wt=17): 14988 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(14956,a,14983,a)]. given #12896 (H,wt=20): 14978 K(x * y,T(x,z)) != u | K(x * y,T(x,y \ z)) = u. [para(10185(a,1),14955(a,1))]. given #12897 (H,wt=20): 14981 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13720(a,2),14979(a,1,2))]. given #12898 (H,wt=21): 14963 (x \ K(y,T(z,u * w))) \ (x \ 1) = K(z,T(y,w \ u)). [hyper(62,a,13580,a,b,14958,a)]. given #12899 (H,wt=21): 14990 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,u)). [hyper(62,a,8280,a,b,14988,a)]. given #12900 (H,wt=15): 14992 K(x,K(y,z \ u)) = K(x,K(y,u / z)). [hyper(33,a,8093,a,b,14990,a),flip(a)]. given #12901 (H,wt=15): 14993 K(x,K(y / z,u)) = K(x,K(u,z \ y)). [hyper(33,a,8043,a,b,14990,a)]. given #12902 (H,wt=15): 14994 K(x,K(y,z \ u)) = K(x,K(y,z / u)). [hyper(8422,a,14992,a)]. given #12903 (H,wt=15): 14995 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [hyper(8109,a,14992,a)]. given #12904 (H,wt=15): 15002 K(x,K(y \ z,u)) = K(x,K(z / y,u)). [hyper(286,a,8077,a,b,14993,a)]. given #12905 (H,wt=17): 14996 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(286,a,11089,a,b,14992,a)]. given #12906 (H,wt=17): 15001 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13498(a,2),14992(a,1,2))]. given #12907 (H,wt=18): 14999 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(14992(a,2),8434(a,1))]. given #12908 (H,wt=18): 15003 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(14993(a,1),8109(a,1))]. given #12909 (H,wt=18): 15006 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(14995(a,2),8109(a,1))]. given #12910 (H,wt=19): 14998 (x / y) * K(z,K(u,y \ x)) = T(x / y,K(z,u)). [para(14992(a,2),8069(a,1,2))]. given #12911 (H,wt=20): 15009 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13498(a,2),15003(a,1,2))]. given #12912 (H,wt=21): 14991 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(14988(a,1),12464(a,1,1))]. given #12913 (H,wt=13): 15011 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11552,a,14991,a)]. given #12914 (H,wt=13): 15013 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(8271,a,15011,a)]. given #12915 (H,wt=13): 15014 K(T(x,y),K(z,u)) = K(x,K(z,u)). [hyper(8080,a,15011,a)]. given #12916 (H,wt=13): 15016 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(286,a,8060,a,b,15011,a),flip(a)]. given #12917 (H,wt=13): 15017 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(286,a,8056,a,b,15011,a),flip(a)]. given #12918 (H,wt=13): 15025 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(7784(a,1),15013(a,1,2))]. given #12919 (H,wt=13): 15032 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(62,a,7784,a(flip),b,15014,a)]. given #12920 (H,wt=9): 15048 T(x,K(y,K(z,u))) = x. [hyper(53,a,15032,a)]. given #12921 (H,wt=9): 15057 K(x,K(y,K(z,u))) = 1. [hyper(54,a,15048,a)]. given #12922 (H,wt=9): 15062 K(K(x,y),K(z,u)) = 1. [hyper(8698,a,15057,a)]. given #12923 (H,wt=11): 15052 K(x,T(y,K(z,u))) = K(x,y). [hyper(8469,a,15048,a)]. given #12924 (H,wt=11): 15054 T(x,T(y,K(z,u))) = T(x,y). [hyper(8439,a,15048,a)]. given #12925 (H,wt=11): 15064 T(K(x,y),K(z,u)) = K(x,y). [hyper(55,a,15062,a)]. given #12926 (H,wt=11): 15070 K(T(x,K(y,z)),u) = K(x,u). [hyper(8249,a,15052,a),flip(a)]. given #12927 (H,wt=12): 15058 T(x,K(y,K(z,u))) != w | w = x. [para(15048(a,1),48(a,1)),flip(a)]. given #12928 (H,wt=13): 15053 T(x,T(K(y,z),u)) = T(x,K(y,z)). [hyper(8441,a,15048,a)]. given #12929 (H,wt=13): 15077 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7613(a,1),15052(a,1,2))]. given #12930 (H,wt=13): 15102 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7613(a,1),15054(a,1,2))]. given #12931 (H,wt=13): 15125 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(6777(a,1),15053(a,1,2))]. given #12932 (H,wt=13): 15127 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8500,a,15077,a)]. given #12933 (H,wt=13): 15131 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,15077,a),flip(a)]. given #12934 (H,wt=13): 15142 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(286,a,8115,a,b,15125,a),flip(a)]. given #12935 (H,wt=14): 15082 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(15052(a,1),8223(a,1))]. given #12936 (H,wt=14): 15083 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(15052(a,1),8249(a,1))]. given #12937 (H,wt=14): 15122 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(7613(a,1),15058(a,1)),flip(b)]. given #12938 (H,wt=15): 15015 K(x,K(y,T(z,u))) = K(x,K(y,T(z,w))). [hyper(286,a,15011,a,b,15011,a)]. given #12939 (H,wt=15): 15026 T(x,K(y,T(z,u))) = K(y,K(z,x)) * x. [para(15013(a,1),8070(a,1,1)),flip(a)]. given #12940 (H,wt=15): 15028 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12071(a,1),15013(a,1,2))]. given #12941 (H,wt=15): 15033 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(15014(a,1),7822(a,1,2)),flip(a)]. given #12942 (H,wt=15): 15041 K(x,K(y * z,u)) = K(x,K(u,z * y)). [para(12070(a,1),15017(a,1,2)),flip(a)]. given #12943 (H,wt=15): 15042 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12077(a,2),15017(a,1,2))]. given #12944 (H,wt=15): 15056 T(x,y \ K(z,u)) = T(x,K(z,u) / y). [hyper(62,a,12040,a(flip),b,15048,a)]. given #12945 (H,wt=15): 15060 T(x,K(y,z) * u) = T(x,u * K(y,z)). [para(15048(a,1),12114(a,1,1))]. given #12946 (H,wt=15): 15066 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12144,a,15052,a),flip(a)]. given #12947 (H,wt=15): 15067 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(12102,a,15052,a)]. given #12948 (H,wt=15): 15069 K(x,y \ K(z,u)) = K(x,K(z,u) / y). [hyper(8971,a,15052,a),flip(a)]. given #12949 (H,wt=15): 15072 (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). [hyper(62,a,7851,a,b,15052,a)]. given #12950 (H,wt=15): 15078 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(15052(a,1),7736(a,1,2))]. given #12951 (H,wt=15): 15079 (K(x,y) * K(z,u)) * K(y,x) = K(z,u). [para(15052(a,1),7827(a,1,2))]. given #12952 (H,wt=15): 15084 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(8283(a,1),15052(a,1,2)),flip(a)]. given #12953 (H,wt=15): 15115 T(K(x,y) * z,K(z,u)) = K(x,y) * z. [para(15064(a,1),10901(a,2,1))]. given #12954 (H,wt=15): 15124 T(x,K(y,z \ u)) = T(x,K(y,u / z)). [para(6767(a,1),15053(a,1,2))]. given #12955 (H,wt=15): 15130 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(286,a,8158,a(flip),b,15077,a),flip(a)]. given #12956 (H,wt=15): 15140 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(12065(a,1),15102(a,1,2))]. given #12957 (H,wt=15): 15146 T(x,K(y,z * u)) = T(x,K(y,u * z)). [para(12070(a,1),15125(a,1,2))]. given #12958 (H,wt=15): 15165 K(x,K(T(y,z),u)) = K(y,K(x,T(u,w))). [hyper(8276,a,15015,a)]. given #12959 (H,wt=15): 15200 (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. [hyper(8103,a,15033,a),flip(a)]. given #12960 (H,wt=15): 15201 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(8102,a,15033,a)]. given #12961 (H,wt=15): 15204 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(8056(a,1),15033(a,1,1))]. given #12962 (H,wt=15): 15212 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(62,a,14714,a,b,15060,a)]. given #12963 (H,wt=15): 15218 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(14721,a,15066,a)]. given #12964 (H,wt=15): 15255 T(x,K(y,z) * (u * K(y,z))) = T(x,u). [para(6883(a,1),15212(a,2,2))]. given #12965 (H,wt=16): 15012 K(x,K(y,z)) != u | K(y,K(z,T(x,w))) = u. [para(14991(a,1),11552(a,1))]. given #12966 (H,wt=16): 15018 K(x,K(y,T(z,u))) != w | K(x,K(z,y)) = w. [para(15011(a,2),8058(a,1))]. given #12967 (H,wt=16): 15019 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(15011(a,2),8097(a,1))]. given #12968 (H,wt=16): 15150 T(K(x,y),T(z,u)) != w | T(K(x,y),z) = w. [para(15127(a,2),8500(a,1))]. given #12969 (H,wt=16): 15153 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(15131(a,2),7980(a,1))]. given #12970 (H,wt=16): 15262 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(8077(a,1),15018(a,1))]. given #12971 (H,wt=17): 15051 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [hyper(8634,a,15048,a),flip(a)]. given #12972 (H,wt=17): 15074 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(62,a,12093,a(flip),b,15052,a)]. given #12973 (H,wt=17): 15091 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(15052(a,1),9416(a,1,1))]. given #12974 (H,wt=17): 15101 T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). [hyper(62,a,13723,a(flip),b,15054,a)]. given #12975 (H,wt=17): 15104 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). [para(8285(a,1),15054(a,1,2))]. given #12976 (H,wt=17): 15110 T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). [para(15064(a,1),25(a,1,1)),flip(a)]. given #12977 (H,wt=17): 15114 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(15064(a,1),7651(a,1,2)),flip(a)]. given #12978 (H,wt=17): 15121 K(x * (y * K(x,z)),u) = K(T(x,z) * y,u). [para(8633(a,1),15070(a,1,1)),flip(a)]. given #12979 (H,wt=17): 15126 K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u). [hyper(12095,a,15077,a),flip(a)]. given #12980 (H,wt=17): 15133 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(15077(a,1),7736(a,1,2))]. given #12981 (H,wt=17): 15145 T(x,K(y,(z / u) \ 1)) = T(x,K(y,z \ u)). [para(8359(a,1),15125(a,1,2)),flip(a)]. given #12982 (H,wt=17): 15191 K(x,K(y * z,T(u,w))) = K(x,K(u,z * y)). [hyper(286,a,15017,a,b,15028,a)]. given #12983 (H,wt=17): 15192 K(x,K(y,z * (x * u))) = K(x,K(y,u * z)). [hyper(286,a,9448,a(flip),b,15028,a),flip(a)]. given #12984 (H,wt=17): 15199 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(8104,a,15033,a),flip(a)]. given #12985 (H,wt=17): 15202 (x \ y) * K(z,K(u,x)) = T(x,K(z,u)) \ y. [hyper(8051,a,15033,a),flip(a)]. given #12986 (H,wt=17): 15217 K(x,y * K(z,u \ 1)) = K(x,K(u,z) * y). [hyper(14791,a,15066,a),flip(a)]. given #12987 (H,wt=17): 15220 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(13515(a,1),15066(a,2,2))]. given #12988 (H,wt=17): 15224 K(x * K(y,z \ 1),u) = K(K(z,y) * x,u). [hyper(286,a,14803,a,b,15067,a)]. given #12989 (H,wt=17): 15225 K(x * K(y * z,y),u) = K(K(z,y) * x,u). [hyper(286,a,13189,a,b,15067,a)]. given #12990 (H,wt=17): 15226 K(x * K(y,y \ z),u) = K(K(y,z) * x,u). [hyper(62,a,13161,a(flip),b,15067,a),flip(a)]. given #12991 (H,wt=17): 15228 K(K(x,y) * (z \ x),u) = K(z \ T(x,y),u). [para(13515(a,1),15067(a,2,1))]. given #12992 (H,wt=17): 15247 K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). [hyper(34,a,8735,a,b,15200,a),flip(a)]. given #12993 (H,wt=17): 15250 K(x,K(y,z)) * K(y * z,x) = K(z * y,x). [hyper(286,a,12159,a(flip),b,15204,a),flip(a)]. given #12994 (H,wt=17): 15254 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(6811(a,1),15212(a,2,2))]. given #12995 (H,wt=17): 15256 T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)). [para(13515(a,1),15212(a,2,2))]. given #12996 (H,wt=15): 15288 T(x,T(y,z) \ z) = T(x,y \ T(z,y)). [hyper(62,a,14718,a(flip),b,15256,a)]. given #12997 (H,wt=17): 15258 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). [para(6811(a,1),15218(a,2,2))]. given #12998 (H,wt=17): 15259 K(x,K(y,z) * (u \ z)) = K(x,u \ T(z,y)). [para(13515(a,1),15218(a,2,2))]. given #12999 (H,wt=17): 15284 K(x,(y \ z) * K(z,u)) = K(x,y \ T(z,u)). [hyper(62,a,15066,a(flip),b,15220,a)]. given #13000 (H,wt=18): 15044 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(15025(a,1),8210(a,1,1))]. given #13001 (H,wt=18): 15049 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(15032(a,1),262(a,1,2))]. given #13002 (H,wt=18): 15061 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(15048(a,1),12137(a,1,1))]. given #13003 (H,wt=18): 15085 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(15052(a,1),8210(a,1,1))]. given #13004 (H,wt=18): 15086 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(15052(a,1),8352(a,1))]. given #13005 (H,wt=18): 15089 K(x,y \ K(z,u)) != w | K(x,K(z,u) / y) = w. [para(15052(a,1),8971(a,1))]. given #13006 (H,wt=18): 15093 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(15052(a,1),12095(a,1))]. given #13007 (H,wt=18): 15094 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(15052(a,1),12102(a,1))]. given #13008 (H,wt=18): 15095 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(15052(a,1),12142(a,1))]. given #13009 (H,wt=18): 15096 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(15052(a,1),12144(a,1))]. given #13010 (H,wt=18): 15118 K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). [hyper(286,a,13182,a,b,15070,a),flip(a)]. given #13011 (H,wt=18): 15120 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(15070(a,1),8260(a,1))]. given #13012 (H,wt=18): 15123 T(x,y \ K(z,u)) != w | T(x,K(z,u) / y) = w. [para(12040(a,1),15058(a,1)),flip(b)]. given #13013 (H,wt=18): 15157 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7784(a,2),15082(a,1,2))]. given #13014 (H,wt=18): 15158 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7851(a,2),15082(a,1))]. given #13015 (H,wt=18): 15161 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(9892(a,1),15082(a,1,2))]. given #13016 (H,wt=18): 15163 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(7894(a,1),15122(a,1,2))]. given #13017 (H,wt=18): 15194 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(15028(a,1),8058(a,1))]. given #13018 (H,wt=17): 15304 K(x,K(y,(y * z) * u)) = K(x,K(y,u * z)). [hyper(15194,a,9452,a(flip)),flip(a)]. given #13019 (H,wt=18): 15195 K(x,K(y,z * u)) != w | K(x,K(u * z,y)) = w. [para(15028(a,1),8109(a,1))]. given #13020 (H,wt=18): 15207 K(x,K(y * z,u)) != w | K(u,K(z * y,x)) = w. [para(15041(a,2),8097(a,1))]. given #13021 (H,wt=18): 15208 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(15041(a,1),8109(a,1))]. given #13022 (H,wt=18): 15209 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(15041(a,2),8109(a,1))]. given #13023 (H,wt=18): 15222 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(15066(a,1),14721(a,1))]. given #13024 (H,wt=18): 15231 (K(x,y) * K(z,u)) \ w != K(y,x) | K(z,u) = w. [para(15072(a,1),46(a,1)),flip(a)]. given #13025 (H,wt=18): 15251 x * K(y,K(z,u)) != w | K(z,K(y,u)) * w = x. [para(15204(a,1),8102(a,1))]. given #13026 (H,wt=18): 15261 K(x,K(y,T(z,u))) != w | K(x,K(y,T(z,v5))) = w. [para(15011(a,2),15012(a,1))]. given #13027 (H,wt=18): 15263 K(x,K(y,(z \ u) * z)) != w | K(x,K(u,y)) = w. [para(12077(a,2),15018(a,1,2))]. given #13028 (H,wt=18): 15264 K(x,(y \ z) \ z) != u | K(x,T(y,y \ z)) = u. [para(3654(a,1),15153(a,1,2))]. given #13029 (H,wt=18): 15265 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(8318(a,1),15153(a,1,2))]. given #13030 (H,wt=18): 15291 K(x,T(y,z)) != u | K(x,y) * K(z,K(y,x)) = u. [para(7950(a,1),15044(a,1))]. given #13031 (H,wt=18): 15292 K(x,K(y,z)) * u != w | u * K(x,K(z,y)) = w. [para(8077(a,1),15044(a,1,1))]. given #13032 (H,wt=18): 15294 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(14714(a,1),15061(a,1))]. given #13033 (H,wt=18): 15299 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(14720(a,1),15096(a,1))]. given #13034 (H,wt=18): 15303 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(15212(a,2),15163(a,1))]. given #13035 (H,wt=18): 15313 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(8091(a,1),15292(a,1))]. given #13036 (H,wt=19): 15046 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(15025(a,1),14481(a,1,1,1))]. given #13037 (H,wt=19): 15144 K(x,T(y,z)) * T(u,K(x,y)) = u * K(x,T(y,z)). [para(15125(a,1),108(a,1,2))]. given #13038 (H,wt=19): 15147 T(T(x,K(y,z)),T(z,u) * y) = T(x,y * T(z,u)). [para(15125(a,1),12114(a,1,1))]. given #13039 (H,wt=19): 15198 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(9318,a,15033,a),flip(a)]. given #13040 (H,wt=19): 15203 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(286,a,8052,a(flip),b,15033,a),flip(a)]. given #13041 (H,wt=19): 15205 K(x,y) * (z * K(x,K(y,u))) = K(x,T(y,u)) * z. [para(15033(a,1),10895(a,1,2))]. given #13042 (H,wt=19): 15210 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(62,a,10587,a(flip),b,15042,a)]. given #13043 (H,wt=19): 15244 T(x * (K(y,z) * u),K(x,u)) = x * (K(y,z) * u). [para(15115(a,1),8624(a,2,2))]. given #13044 (H,wt=19): 15252 K(x,y) * (z * K(y,K(x,u))) = K(x,T(y,u)) * z. [para(15204(a,1),10895(a,1,2))]. given #13045 (H,wt=19): 15269 K((x \ 1) * T(y,x),T(z,y)) = K((x \ 1) * y,z). [hyper(286,a,14937,a(flip),b,15074,a),flip(a)]. given #13046 (H,wt=19): 15272 (T(x,y) * K(z,u)) * T(y,x) = (x * K(z,u)) * y. [para(15114(a,1),6602(a,1,1))]. given #13047 (H,wt=19): 15279 T((x \ y) * K(z,y / x),z) = T(x,K(y,z)) \ y. [hyper(62,a,9287,a,b,15199,a)]. given #13048 (H,wt=15): 15325 T(x \ y,K(z,y)) = T(x,K(y,z)) \ y. [hyper(8513,a,15279,a)]. given #13049 (H,wt=15): 15326 T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. [hyper(8134,a,15325,a)]. given #13050 (H,wt=19): 15282 K(x,y \ T(z,z \ u)) = K(x,K(z,u) * (y \ z)). [hyper(14765,a,15220,a),flip(a)]. given #13051 (H,wt=17): 15327 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [hyper(286,a,15220,a(flip),b,15282,a),flip(a)]. given #13052 (H,wt=17): 15328 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(9(a,1),15327(a,1,2,2,2)),flip(a)]. given #13053 (H,wt=19): 15285 K(x \ T(y,y \ z),u) = K(K(y,z) * (x \ y),u). [para(13515(a,1),15226(a,1,1))]. given #13054 (H,wt=17): 15329 K(x \ T(y,y \ z),u) = K(x \ T(y,z),u). [hyper(286,a,15228,a(flip),b,15285,a),flip(a)]. given #13055 (H,wt=17): 15330 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [hyper(62,a,633,a(flip),b,15329,a)]. given #13056 (H,wt=19): 15312 K(x,y / x) * K(y,K(z,x)) = K(x,T(y / x,z)). [hyper(15292,a,10305,a)]. given #13057 (H,wt=19): 15316 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(286,a,15033,a,b,15046,a),flip(a)]. given #13058 (H,wt=19): 15317 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(15033(a,1),15046(a,1,1))]. given #13059 (H,wt=19): 15322 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(8515,a,15203,a(flip)),flip(a)]. given #13060 (H,wt=19): 15323 K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). [hyper(5851,a,15252,a)]. given #13061 (H,wt=19): 15333 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(15033(a,1),15316(a,1,1))]. given #13062 (H,wt=20): 15134 K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. [para(15077(a,1),8250(a,1))]. given #13063 (H,wt=20): 15135 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(15077(a,1),10779(a,1,1))]. given #13064 (H,wt=20): 15136 K(x * T(y,z),T(u,y)) != w | K(T(y,z) * x,u) = w. [para(15077(a,1),12102(a,1))]. given #13065 (H,wt=20): 15156 K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(25(a,2),15082(a,1,2))]. given #13066 (H,wt=20): 15159 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(8285(a,1),15082(a,1,2))]. given #13067 (H,wt=20): 15160 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),u) = w. [para(8461(a,1),15082(a,1))]. given #13068 (H,wt=20): 15162 K(K(x,y) * (z / y),u) != w | K(z / T(y,x),u) = w. [para(8286(a,1),15083(a,1,1))]. given #13069 (H,wt=20): 15164 T(x,K(y,z) * (u \ 1)) != w | T(x,u \ K(y,z)) = w. [para(13723(a,1),15122(a,1))]. given #13070 (H,wt=20): 15197 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(15028(a,1),15009(a,1))]. given #13071 (H,wt=20): 15221 K(x,K(y,z) * (u \ 1)) != w | K(x,u \ K(y,z)) = w. [para(15066(a,2),13560(a,1))]. given #13072 (H,wt=20): 15223 K(x,y * K(z,u \ 1)) != w | K(x,K(u,z) * y) = w. [para(15066(a,1),14791(a,1))]. given #13073 (H,wt=20): 15266 K(T(x,y) * z,u) != w | K(z * T(x,y),T(u,x)) = w. [para(12085(a,1),15153(a,1))]. given #13074 (H,wt=20): 15267 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. [para(13723(a,1),15153(a,1,2))]. given #13075 (H,wt=20): 15293 x * K(y,K(z,T(u,w))) != v5 | K(y,K(z,u)) * x = v5. [para(15016(a,2),15049(a,1,2))]. given #13076 (H,wt=20): 15296 K(x * K(y * z,y),u) != w | K(x * K(z,y),u) = w. [para(15225(a,2),15093(a,1))]. given #13077 (H,wt=20): 15297 K(K(x,y) * z,u) != w | K(K(x,x \ y) * z,u) = w. [para(15226(a,1),15094(a,1))]. given #13078 (H,wt=20): 15302 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,z / u)) = w. [para(14970(a,2),15161(a,1))]. given #13079 (H,wt=20): 15341 K(x,K(y,z) * (u * z)) != w | K(x,u * T(z,y)) = w. [para(14720(a,1),15159(a,1))]. given #13080 (H,wt=21): 15020 K(T(x,y) * z,u) * K(x,K(z,u)) = K(z * T(x,y),u). [para(15011(a,1),12156(a,1,2))]. given #13081 (H,wt=21): 15027 K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u / T(y,z)). [para(15013(a,1),8683(a,1,2))]. given #13082 (H,wt=21): 15196 K(x,y * z) * K(x,K(u,z * y)) = K(x,T(y * z,u)). [para(15028(a,1),8093(a,1,2))]. given #13083 (H,wt=21): 15213 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(62,a,14707,a,b,15060,a)]. given #13084 (H,wt=21): 15216 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(15060(a,1),14713(a,2,2))]. given #13085 (H,wt=21): 15229 x * (K(y,z) * K(K(y,z) * x,u)) = T(x * K(y,z),u). [para(15067(a,2),13542(a,1,2,2))]. given #13086 (H,wt=21): 15230 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(62,a,14459,a,b,15069,a)]. given #13087 (H,wt=17): 15349 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(286,a,13613,a(flip),b,15230,a),flip(a)]. given #13088 (H,wt=17): 15351 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(62,a,8332,a(flip),b,15349,a)]. given #13089 (H,wt=21): 15240 K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). [para(8173(a,1),15078(a,1,1)),flip(a)]. given #13090 (H,wt=21): 15245 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(15140(a,1),8301(a,1,2))]. given #13091 (H,wt=21): 15271 T(L(K(x,y),z,u),w \ v5) = T(L(K(x,y),z,u),v5 / w). [para(15110(a,1),12054(a,1,1)),flip(a)]. given #13092 (H,wt=21): 15273 K(T(x \ 1,y) * z,T(u,x)) = K(z * T(x \ 1,y),u). [hyper(8478,a,15126,a)]. given #13093 (H,wt=21): 15274 T(x,x \ y) * K(z,T(x \ y,x)) = T(x \ y,z) \ y. [hyper(286,a,5879,a(flip),b,15133,a),flip(a)]. given #13094 (H,wt=19): 15355 T(x,x \ y) * K(z,y / x) = T(x \ y,z) \ y. [para(8169(a,1),15274(a,1,2))]. given #13095 (H,wt=21): 15275 T(x,y) * K(z,T(T(u,x),w)) = K(z,T(u,w)) * T(x,y). [para(23(a,1),15133(a,1,2,2))]. given #13096 (H,wt=21): 15280 (T(x,y) \ z) * K(x,K(u,w)) = T(T(x,y),K(u,w)) \ z. [para(15014(a,1),15199(a,1,2))]. given #13097 (H,wt=21): 15281 K(x,y * K(z,u \ (w \ 1))) = K(x,K(w * u,z) * y). [para(13506(a,1),15217(a,1,2,2))]. given #13098 (H,wt=21): 15283 K(x,K(y,z) * (u \ (y \ z))) = K(x,u \ T(y \ z,y)). [hyper(14745,a,15220,a)]. given #13099 (H,wt=21): 15289 K(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). [para(6458(a,1),15258(a,1,2,1))]. given #13100 (H,wt=21): 15334 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [hyper(286,a,4675,a,b,15317,a)]. given #13101 (H,wt=13): 15358 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(34,a,4667,a(flip),b,15334,a)]. given #13102 (H,wt=13): 15359 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(15094,a,15358,a)]. given #13103 (H,wt=15): 15360 K(x \ K(y,K(z,u)),w) = K(x \ 1,w). [hyper(13778,a,15358,a)]. given #13104 (H,wt=15): 15361 K(x * K(y,K(z,u)),w) = w / T(w,x). [hyper(286,a,4617,a(flip),b,15358,a),flip(a)]. given #13105 (H,wt=13): 15374 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(4677,a,15361,a)]. given #13106 (H,wt=13): 15376 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(15163,a,15374,a)]. given #13107 (H,wt=15): 15362 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(1271(a,1),15358(a,1,1))]. given #13108 (H,wt=15): 15363 K(T(x,K(y,z)) / u,w) = K(x / u,w). [para(1268(a,1),15358(a,1,1))]. given #13109 (H,wt=15): 15364 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(6128(a,1),15358(a,1,1))]. given #13110 (H,wt=15): 15378 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(1270(a,1),15374(a,1,2))]. given #13111 (H,wt=15): 15379 T(x,T(y,K(z,u)) * w) = T(x,y * w). [para(6128(a,1),15374(a,1,2))]. given #13112 (H,wt=15): 15381 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(115,a,15376,a(flip),b,4659,a(flip)),flip(a)]. given #13113 (H,wt=13): 15390 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(286,a,4614,a,b,15381,a),flip(a)]. given #13114 (H,wt=13): 15393 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(15096,a,15390,a)]. given #13115 (H,wt=13): 15394 K(x,K(K(y,z),u) * w) = K(x,w). [hyper(14745,a,15390,a)]. given #13116 (H,wt=15): 15392 K(x,y * T(z,K(u,w))) = K(x,y * z). [hyper(15159,a,15390,a)]. given #13117 (H,wt=15): 15395 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(62,a,14725,a(flip),b,15390,a)]. given #13118 (H,wt=15): 15396 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(4675(a,1),15390(a,1,2))]. given #13119 (H,wt=15): 15397 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(6144(a,1),15390(a,1,2))]. given #13120 (H,wt=15): 15400 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(6861(a,1),15393(a,1,2)),flip(a)]. given #13121 (H,wt=16): 15375 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(15361(a,2),4697(a,1))]. given #13122 (H,wt=16): 15391 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(15381(a,2),4728(a,1))]. given #13123 (H,wt=16): 15412 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(7822(a,1),15375(a,1,1))]. given #13124 (H,wt=16): 15419 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7844(a,1),15391(a,1,2))]. given #13125 (H,wt=17): 15365 K(x * T(K(y,z),u),w) = K(x * K(y,z),w). [para(6610(a,1),15358(a,1,1)),flip(a)]. given #13126 (H,wt=17): 15367 K(x * (y * K(z,K(u,w))),v5) = K(x * y,v5). [para(8602(a,1),15358(a,1,1))]. given #13127 (H,wt=17): 15370 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(15198(a,1),15358(a,1,1))]. given #13128 (H,wt=17): 15380 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(8602(a,1),15374(a,1,2))]. given #13129 (H,wt=17): 15386 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(7613(a,1),15364(a,1,1,1))]. given #13130 (H,wt=17): 15399 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(15322(a,1),15390(a,1,2))]. given #13131 (H,wt=17): 15404 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(6567(a,1),15394(a,1,2)),flip(a)]. given #13132 (H,wt=17): 15406 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(7613(a,1),15392(a,1,2,2))]. given #13133 (H,wt=17): 15407 K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). [para(7613(a,1),15395(a,1,2,1))]. given #13134 (H,wt=17): 15408 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(7613(a,1),15396(a,1,2,1))]. given #13135 (H,wt=17): 15409 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(7613(a,1),15397(a,1,2,1))]. given #13136 (H,wt=17): 15410 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(7613(a,1),15400(a,1,2,2))]. given #13137 (H,wt=17): 15434 K(x * K(T(y,z),u),w) = K(x * K(y,u),w). [para(7784(a,2),15365(a,1,1,2))]. given #13138 (H,wt=17): 15436 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [para(7822(a,1),15367(a,1,1,2))]. given #13139 (H,wt=17): 15444 K(x,T(y,z) \ T(z,u)) = K(x,T(z,u) / y). [hyper(13153,a,15407,a),flip(a)]. given #13140 (H,wt=17): 15446 K(x,T(y,z) * T(z,u)) = K(x,T(z,u) * y). [hyper(62,a,12122,a(flip),b,15408,a),flip(a)]. given #13141 (H,wt=18): 15373 K(x \ K(y,K(z,u)),w) != v5 | K(x,w \ 1) = v5. [para(15360(a,2),6476(a,1))]. given #13142 (H,wt=18): 15411 K(T(x,K(y,z)) / u,w) != v5 | K(x / u,w) = v5. [para(1268(a,1),15375(a,1,1))]. given #13143 (H,wt=18): 15415 K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. [para(4675(a,1),15391(a,1,2))]. given #13144 (H,wt=18): 15416 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(6145(a,1),15391(a,1,2))]. given #13145 (H,wt=18): 15417 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(6139(a,1),15391(a,1,2))]. given #13146 (H,wt=18): 15418 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(6144(a,1),15391(a,1,2))]. given #13147 (H,wt=18): 15420 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(8050(a,1),15391(a,1,2))]. given #13148 (H,wt=18): 15425 K(x \ y,z) != u | K(T(x,K(w,v5)) \ y,z) = u. [para(5715(a,1),15412(a,1,1))]. given #13149 (H,wt=18): 15429 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(8106(a,1),15419(a,1,2))]. given #13150 (H,wt=19): 15366 K(x * (y * T(z,K(u,w))),v5) = K(x * (y * z),v5). [para(7483(a,1),15358(a,1,1))]. given #13151 (H,wt=19): 15368 K(x / (K(y,z) * u),w) = K(x / (u * K(y,z)),w). [para(10819(a,1),15358(a,1,1))]. given #13152 (H,wt=19): 15369 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(13803(a,1),15358(a,1,1)),flip(a)]. given #13153 (H,wt=19): 15371 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(11413(a,1),15359(a,1,1))]. given #13154 (H,wt=19): 15372 K((T(x,K(y,z)) * u) * w,v5) = K((x * u) * w,v5). [para(14484(a,1),15359(a,1,1))]. given #13155 (H,wt=19): 15382 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(11376(a,1),15376(a,1,2)),flip(a)]. given #13156 (H,wt=19): 15389 T(x,(y \ K(z,u)) * w) = T(x,(K(z,u) / y) * w). [para(12182(a,1),15379(a,1,2,1))]. given #13157 (H,wt=19): 15401 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(10593(a,1),15393(a,1,2)),flip(a)]. given #13158 (H,wt=19): 15402 K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). [para(10819(a,1),15393(a,1,2))]. given #13159 (H,wt=19): 15403 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [para(13803(a,1),15393(a,1,2)),flip(a)]. given #13160 (H,wt=19): 15433 K(x * K(y \ z,u),w) = K(x * K(z / y,u),w). [para(6940(a,1),15365(a,1,1,2))]. given #13161 (H,wt=19): 15435 K(x * (T(y,K(z,u)) * w),v5) = K(x * (y * w),v5). [para(6128(a,1),15367(a,1,1,2))]. given #13162 (H,wt=19): 15438 K(x * (T(y,K(z,u)) \ w),v5) = K(x * (y \ w),v5). [para(15199(a,1),15367(a,1,1,2))]. given #13163 (H,wt=19): 15439 K(K(x,y * z) * u,w) = K(K(x,z * y) * u,w). [para(12070(a,1),15370(a,1,1,1))]. given #13164 (H,wt=19): 15443 K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). [para(4675(a,1),15404(a,1,2,2))]. given #13165 (H,wt=19): 15450 K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,w) / y). [hyper(62,a,15407,a,b,15444,a)]. given #13166 (H,wt=19): 15451 K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w) * y). [hyper(62,a,15408,a,b,15446,a)]. given #13167 (H,wt=19): 15461 K(x / (y * K(z,u)),w) = K(x * (y \ K(u,z)),w). [hyper(13762,a,15368,a),flip(a)]. given #13168 (H,wt=19): 15465 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(13759,a,15402,a),flip(a)]. given #13169 (H,wt=20): 15414 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(15198(a,1),15375(a,1,1))]. given #13170 (H,wt=20): 15424 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(15322(a,1),15391(a,1,2))]. given #13171 (H,wt=20): 15428 K(x * K(y,T(z,u)),w) != v5 | K(x * K(y,z),w) = v5. [para(15322(a,1),15412(a,1,1))]. given #13172 (H,wt=20): 15454 K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. [para(7613(a,1),15416(a,1,2,2))]. given #13173 (H,wt=20): 15456 K(x,T(y,T(z,u)) / w) != v5 | K(x,T(y,z) / w) = v5. [para(7613(a,1),15418(a,1,2,1))]. given #13174 (H,wt=20): 15459 K(x,y / T(z,T(u,w))) != v5 | K(x,y / T(z,u)) = v5. [para(7613(a,1),15429(a,1,2,2))]. given #13175 (H,wt=20): 15463 K((x * K(y,z)) \ 1,u) != w | K(x \ K(z,y),u) = w. [para(15371(a,1),6985(a,1))]. given #13176 (H,wt=20): 15480 K(x,y * K(z,u)) != w | K(x,y * K(z,T(u,v5))) = w. [para(8149(a,1),15424(a,1,2,2))]. given #13177 (H,wt=20): 15481 K(x * K(T(y,z),u),w) != v5 | K(x * K(y,u),w) = v5. [para(7777(a,2),15428(a,1,1,2))]. given #13178 (H,wt=21): 15338 K(x,K(y,T(z,u))) * T(w,v5) = T(w * K(x,K(y,z)),v5). [para(15016(a,1),15333(a,1,1,2)),flip(a)]. given #13179 (H,wt=21): 15344 K(x,K(y,z)) * K(x,T(z,u) * y) = K(x,y * T(z,u)). [hyper(15293,a,12194,a)]. given #13180 (H,wt=21): 15345 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(12(a,1),15213(a,1,2,1)),flip(a)]. given #13181 (H,wt=21): 15346 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [hyper(8130,a,15216,a)]. given #13182 (H,wt=21): 15383 K(x * (K(y,z) * (u * y)),w) = K(x * (u * T(y,z)),w). [para(8285(a,1),15362(a,1,1,2))]. given #13183 (H,wt=21): 15440 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). [para(15198(a,1),15380(a,1,2,2))]. given #13184 (H,wt=21): 15441 K((K(x,y) * T(x,z)) * u,w) = K(T(T(x,z),y) * u,w). [para(8171(a,1),15386(a,1,1,1))]. given #13185 (H,wt=21): 15449 K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). [para(15322(a,1),15436(a,1,1,2))]. given #13186 (H,wt=21): 15464 K((T(x,T(y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [para(7613(a,1),15372(a,1,1,1,1))]. given #13187 (H,wt=21): 15471 K(x * (T(y,T(z,u)) * w),v5) = K(x * (T(y,z) * w),v5). [para(7613(a,1),15435(a,1,1,2,1))]. given #13188 (H,wt=21): 15474 K(x * (T(y,T(z,u)) \ w),v5) = K(x * (T(y,z) \ w),v5). [para(7613(a,1),15438(a,1,1,2,1))]. given #13189 (H,wt=21): 15475 K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,z * w) / y). [hyper(62,a,15328,a(flip),b,15450,a)]. given #13190 (H,wt=17): 15488 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(13153,a,15475,a),flip(a)]. given #13191 (H,wt=21): 15476 K(x * ((y * z) \ K(u,z)),w) = K(x / (y * T(z,u)),w). [para(6811(a,1),15461(a,1,1,2)),flip(a)]. given #13192 (H,wt=21): 15486 K(K(x,y) * (T(x,z) * u),w) = K(T(T(x,z),y) * u,w). [para(7239(a,1),15441(a,1,1))]. given #13193 (H,wt=22): 14960 K(x,T(y,L(z \ u,z,w))) = K(x,T(y,(w * u) * (w * z))). [para(94(a,2),14952(a,1,2,2))]. given #13194 (H,wt=22): 14965 K(L(x \ y,x,z),T(u,x * z)) = K((z * y) / (z * x),u). [hyper(8346,a,14959,a),flip(a)]. given #13195 (H,wt=22): 14969 K(x * (y * z),T(u,z * y)) != w | K((y * z) * x,u) = w. [para(14959(a,1),12102(a,1))]. given #13196 (H,wt=22): 14977 K((x / y) / z,T(u,y \ x)) != w | K(z \ (x / y),u) = w. [para(14974(a,2),8254(a,1))]. given #13197 (H,wt=22): 15004 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),14994(a,1,2,2)),flip(a)]. given #13198 (H,wt=22): 15007 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [para(11791(a,2),14995(a,1,2))]. given #13199 (H,wt=22): 15037 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8226(a,1),15016(a,1,2))]. given #13200 (H,wt=22): 15088 x * (K(y,z) * K(u,w)) != v5 | x * (K(u,w) * K(y,z)) = v5. [para(15052(a,1),7739(a,1,2,2))]. given #13201 (H,wt=22): 15193 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(104(a,1),15028(a,1,2,2)),flip(a)]. given #13202 (H,wt=22): 15219 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11753(a,1),15066(a,2,2))]. given #13203 (H,wt=22): 15301 K(x,T(K(y,z) * u,w)) != v5 | K(x,T(u * K(y,z),w)) = v5. [para(6894(a,1),15120(a,1,2,1))]. given #13204 (H,wt=22): 15310 K(x,K(y / z,(z \ u) * y)) != w | K(x,K(u,y / z)) = w. [para(10587(a,1),15263(a,1))]. given #13205 (H,wt=22): 15324 K(x,y) * (K(y,T(x,z)) * u) != w | u * K(x,K(y,z)) = w. [para(15252(a,1),5852(a,1,2)),flip(b)]. given #13206 (H,wt=22): 15336 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15322(a,2),42(a,1))]. given #13207 (H,wt=22): 15340 K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. [para(7613(a,1),15156(a,1,2,1))]. given #13208 (H,wt=19): 15495 K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). [hyper(15340,a,xx),flip(a)]. given #13209 (H,wt=21): 15497 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u / z),w,v5)). [para(110(a,1),15495(a,1,2,1,2))]. given #13210 (H,wt=22): 15413 K(x / (K(y,z) * u),w) != v5 | K(x / (u * K(y,z)),w) = v5. [para(10819(a,1),15375(a,1,1))]. given #13211 (H,wt=22): 15421 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(11413(a,1),15391(a,1,2))]. given #13212 (H,wt=22): 15422 K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(z,u) / y) \ w) = v5. [para(13134(a,1),15391(a,1))]. given #13213 (H,wt=22): 15423 K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. [para(14728(a,1),15391(a,1))]. given #13214 (H,wt=22): 15426 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(11413(a,1),15412(a,1,1))]. given #13215 (H,wt=22): 15427 K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. [para(11421(a,1),15412(a,1,1))]. given #13216 (H,wt=22): 15430 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10593(a,1),15419(a,1,2))]. given #13217 (H,wt=22): 15431 K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. [para(10819(a,1),15419(a,1,2))]. given #13218 (H,wt=22): 15432 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(13803(a,1),15419(a,1,2))]. given #13219 (H,wt=22): 15453 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(6894(a,1),15416(a,1,2,2))]. given #13220 (H,wt=22): 15455 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(6894(a,1),15417(a,1,2,2))]. given #13221 (H,wt=22): 15457 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(7894(a,1),15418(a,1,2,1))]. given #13222 (H,wt=22): 15458 K(x,T(y,y \ z) \ u) != w | K(x,((y \ z) \ z) \ u) = w. [para(2944(a,1),15420(a,1,2,1))]. given #13223 (H,wt=20): 15499 K(x,T(y,z) \ u) != w | K(x,((y \ z) \ z) \ u) = w. [para(13108(a,1),15458(a,1))]. given #13224 (H,wt=22): 15462 K(x / (y * K(z,u)),w) != v5 | K(x * (y \ K(u,z)),w) = v5. [para(15368(a,1),13762(a,1))]. given #13225 (H,wt=22): 15467 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(15402(a,1),13759(a,1))]. given #13226 (H,wt=22): 15478 K(K(x,y * z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(12070(a,1),15414(a,1,1,1))]. given #13227 (H,wt=22): 15479 K(K(x * y,z) * u,w) != v5 | K(K(y * x,z) * u,w) = v5. [para(12085(a,1),15414(a,1,1,1))]. given #13228 (H,wt=20): 15500 K(K(x,y) * z,u) != w | K(K(x * y,y) * z,u) = w. [para(13190(a,1),15479(a,1))]. given #13229 (H,wt=22): 15491 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15006,a,15007,a)]. given #13230 (H,wt=22): 15492 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(286,a,14992,a(flip),b,15037,a),flip(a)]. given #13231 (H,wt=22): 15493 x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. [para(9230(a,2),15088(a,1))]. given #13232 (H,wt=22): 15503 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),15492(a,1,2,2,1)),flip(a)]. given #13233 (H,wt=22): 15506 K(x,K(y * z,y * (u * z))) = K(x,K(y * z,L(u,z,y))). [hyper(8711,a,15503,a)]. given #13234 (H,wt=23): 14986 K(x,(y * z) \ u) * (z * y) = (z * y) * K(x,u / (y * z)). [para(8169(a,1),14967(a,1,2)),flip(a)]. given #13235 (H,wt=23): 15000 K(x,(y / z) * u) * K(x,K(u,z \ y)) = K(x,u * (y / z)). [para(14992(a,2),12194(a,1,2))]. given #13236 (H,wt=23): 15005 K(x,(y / z) \ u) * K(x,K(u,y \ z)) = K(x,u / (y / z)). [para(14994(a,2),8717(a,1,2))]. given #13237 (H,wt=23): 15008 K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,z * ((w \ 1) * u))). [hyper(8436,a,14996,a),flip(a)]. given #13238 (H,wt=23): 15035 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(62,a,8282,a(flip),b,15016,a)]. given #13239 (H,wt=21): 15509 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6254(a,1),15035(a,2,2))]. given #13240 (H,wt=19): 15510 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(286,a,11831,a(flip),b,15509,a),flip(a)]. given #13241 (H,wt=19): 15512 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [hyper(286,a,11741,a(flip),b,15510,a),flip(a)]. given #13242 (H,wt=22): 15511 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(15509(a,1),4805(a,1))]. given #13243 (H,wt=22): 15513 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(15510(a,2),11764(a,1))]. given #13244 (H,wt=23): 15188 K(x,y * T(z,u)) * K(x,K(y,T(z,w))) = K(x,T(z,u) * y). [para(15015(a,1),12192(a,1,2))]. given #13245 (H,wt=23): 15227 K((x \ y) * K(x,z \ 1),u) = K(y * T(y \ (x \ y),z),u). [para(6472(a,1),15067(a,1,1)),flip(a)]. given #13246 (H,wt=21): 15515 K(K(x,y) * (y \ z),u) = K(z * T(z \ (y \ z),x),u). [hyper(62,a,15224,a(flip),b,15227,a)]. given #13247 (H,wt=19): 15516 K(x * T(x \ (y \ x),z),u) = K(T(y,z) \ x,u). [para(5741(a,1),15515(a,1,1)),flip(a)]. given #13248 (H,wt=23): 15276 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [hyper(62,a,7929,a,b,15145,a)]. given #13249 (H,wt=23): 15319 T(T(x,K(y,z)),T(y,u) * (z \ 1)) = T(x,(z \ 1) * T(y,u)). [para(8373(a,1),15147(a,1,1))]. given #13250 (H,wt=23): 15335 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(15317(a,2),8087(a,1,1))]. given #13251 (H,wt=23): 15356 T(x,K(y,z)) * (T(x,u) \ w) = x * (T(T(x,u),K(y,z)) \ w). [para(15280(a,1),15051(a,1,2)),flip(a)]. given #13252 (H,wt=23): 15437 K(x * (y * (K(z,u) * w)),v5) = K(x * (y * (w * K(z,u))),v5). [para(10593(a,1),15367(a,1,1,2)),flip(a)]. given #13253 (H,wt=23): 15442 K(x,y * K(z,T(u \ (w \ 1),v5))) = K(x,K(w * u,z) * y). [hyper(286,a,15281,a(flip),b,15399,a),flip(a)]. given #13254 (H,wt=23): 15447 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / z). [hyper(62,a,12207,a,b,15409,a)]. given #13255 (H,wt=23): 15448 K(x * ((K(y,z) * u) * w),v5) = K(x * ((u * K(y,z)) * w),v5). [para(11376(a,1),15436(a,1,1,2)),flip(a)]. given #13256 (H,wt=23): 15460 K(x * (y * (z \ K(u,w))),v5) = K(x * (y * (K(u,w) / z)),v5). [para(12182(a,1),15366(a,1,1,2,2))]. given #13257 (H,wt=23): 15470 K(x * (T(y,y \ z) * u),w) = K(x * (((y \ z) \ z) * u),w). [para(2944(a,1),15435(a,1,1,2,1))]. given #13258 (H,wt=23): 15472 K(x * ((y \ K(z,u)) * w),v5) = K(x * ((K(z,u) / y) * w),v5). [para(12182(a,1),15435(a,1,1,2,1))]. given #13259 (H,wt=23): 15473 K(x * (T(T(y,K(z,u)),w) \ v5),v6) = K(x * (T(y,w) \ v5),v6). [para(23(a,1),15438(a,1,1,2,1))]. given #13260 (H,wt=23): 15485 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(8106(a,2),15345(a,1,1))]. given #13261 (H,wt=23): 15505 x / (y \ R(y,z,y)) != u | x * (K(z,y) * K(y,y * z)) = u. [para(6080(a,1),15493(a,1,2))]. given #13262 (H,wt=20): 15527 x * (K(y,z) * K(z,z * y)) = R(z,y,z) \ (z * x). [hyper(15505,a,11002,a(flip))]. given #13263 (H,wt=17): 15528 R(x,y,x) \ (x * z) = z * (R(x,y,x) \ x). [para(9241(a,1),15527(a,1,2)),flip(a)]. given #13264 (H,wt=23): 15508 K(x,(y / z) * u) * K(x,K(u,y * z)) = K(x,u * (y / z)). [para(14984(a,1),15000(a,1,2))]. given #13265 (H,wt=23): 15521 K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,u),K(y,z)) \ w). [hyper(6072,a,15356,a)]. given #13266 (H,wt=23): 15523 K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). [para(5880(a,1),15447(a,1,2))]. given #13267 (H,wt=23): 15529 K(x,y) * (K(y,K(z,u)) * w) = y * (T(T(y,x),K(z,u)) \ w). [hyper(10935,a,15521,a)]. given #13268 (H,wt=23): 15530 (K(x,K(y,z)) * K(u,x)) * w = x * (T(T(x,u),K(y,z)) \ w). [hyper(62,a,10415,a,b,15521,a)]. given #13269 (H,wt=23): 15531 K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). [para(7777(a,1),15523(a,1,2,1))]. given #13270 (H,wt=19): 15532 K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). [hyper(15324,a,15531,a)]. given #13271 (H,wt=15): 15533 K(x,T(y / x,z)) = K(x,T(y,z) / x). [hyper(62,a,15312,a(flip),b,15532,a)]. given #13272 (H,wt=24): 14972 L(K(x,T(T(y,z),u * z)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(14959(a,1),14407(a,1,1))]. given #13273 (H,wt=23): 15536 K((x * y) / (x * (z \ y)),u) = (y * x) \ ((y * K(z,u)) * x). [hyper(10083,a,14972,a)]. given #13274 (H,wt=23): 15537 K(x,(y * z) / (y * (u \ z))) = (z * y) \ ((z * K(x,u)) * y). [hyper(10378,a,15536,a)]. given #13275 (H,wt=23): 15540 K(x \ y,(z * y) / (z * (u \ y))) = K((x * z) \ (y * z),u). [hyper(286,a,7291,a(flip),b,15537,a),flip(a)]. given #13276 (H,wt=23): 15542 K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). [hyper(62,a,11926,a,b,15537,a)]. given #13277 (H,wt=24): 15050 x * R(K(y,K(z,u)),w,w \ x) = (K(y,K(z,u)) * w) * (w \ x). [para(15032(a,1),672(a,1,2,1))]. given #13278 (H,wt=24): 15068 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(9308,a,15052,a)]. given #13279 (H,wt=24): 15211 T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,L(u,z,y \ 1))). [hyper(286,a,14617,a,b,15056,a)]. given #13280 (H,wt=24): 15270 L(K(x,y),z,u) * K(w,v5) != v6 | K(w,v5) * L(K(x,y),z,u) = v6. [para(15110(a,1),7927(a,1,1))]. given #13281 (H,wt=24): 15298 K(x,T(y,z \ 1) \ u) != w | K(x,(y \ u) * K(z,y \ 1)) = w. [para(6466(a,1),15096(a,1,2))]. given #13282 (H,wt=21): 15553 K(x,(y \ z) * K(u,y \ 1)) = K(x,T(y \ 1,u) * z). [hyper(15298,a,14768,a)]. given #13283 (H,wt=19): 15554 K(x,T(y \ 1,z) * u) = K(x,K(y,z) * (y \ u)). [hyper(15223,a,15553,a),flip(a)]. given #13284 (H,wt=17): 15555 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(286,a,14725,a(flip),b,15554,a),flip(a)]. given #13285 (H,wt=17): 15556 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(62,a,14768,a,b,15555,a)]. given #13286 (H,wt=17): 15557 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [para(4893(a,1),15555(a,1,2,1,1)),flip(a)]. given #13287 (H,wt=19): 15559 K(x,T(y \ 1,z) \ u) = K(x,((z \ y) * z) * u). [hyper(14823,a,15556,a),flip(a)]. given #13288 (H,wt=17): 15560 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(62,a,15557,a(flip),b,15559,a),flip(a)]. given #13289 (H,wt=17): 15562 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(9(a,1),15560(a,1,2,1,1)),flip(a)]. given #13290 (H,wt=19): 15563 T(x,T(y * z,y) * u) = x * K(x,(z * y) * u). [para(15562(a,1),4659(a,2,2))]. given #13291 (H,wt=17): 15564 T(x,T(y * z,y) * u) = T(x,(z * y) * u). [hyper(4730,a,15563,a),flip(a)]. given #13292 (H,wt=24): 15300 K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). [para(8012(a,1),15118(a,2,1,2))]. given #13293 (H,wt=22): 15565 L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). [hyper(286,a,6806,a(flip),b,15300,a)]. given #13294 (H,wt=24): 15314 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(14712(a,2),15303(a,1))]. given #13295 (H,wt=24): 15353 K(x,T(y,z)) * K(u,w) != v5 * K(z / (z / x),y) | K(u,w) = v5. [para(15240(a,1),43(a,1))]. given #13296 (H,wt=24): 15354 T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). [hyper(62,a,723,a(flip),b,15271,a),flip(a)]. given #13297 (H,wt=24): 15452 K((x * (y / x)) \ z,T(u,y)) != w | K(z / (x * (y / x)),u) = w. [para(14673(a,1),15411(a,1))]. given #13298 (H,wt=24): 15494 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(14776,a,15219,a)]. given #13299 (H,wt=21): 15569 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(62,a,15219,a(flip),b,15494,a),flip(a)]. given #13300 (H,wt=23): 15570 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(62,a,8022,a,b,15569,a)]. given #13301 (H,wt=21): 15571 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4659(a,2),15570(a,2,2,2))]. given #13302 (H,wt=19): 15572 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(13559,a,15571,a)]. given #13303 (H,wt=24): 15496 K(x,L(T(y,z / u),w,v5)) != v6 | K(x,L(T(y,u \ z),w,v5)) = v6. [para(8318(a,1),15340(a,1,2,1))]. given #13304 (H,wt=24): 15502 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),15491(a,1,2,1,1))]. given #13305 (H,wt=24): 15539 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * z) / (u * (y \ z))). [hyper(286,a,14397,a,b,15537,a)]. given #13306 (H,wt=24): 15548 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * (y * z)) / (u * z)). [hyper(286,a,14397,a,b,15542,a)]. given #13307 (H,wt=24): 15551 x * R(K(y,K(z,u)),w,w \ x) = (K(u,K(y,z)) * w) * (w \ x). [para(8060(a,1),15050(a,2,1,1))]. given #13308 (H,wt=24): 15552 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(6892(a,1),15068(a,1,1,1))]. given #13309 (H,wt=24): 15566 L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). [para(9(a,1),15565(a,1,1,1))]. given #13310 (H,wt=20): 15576 L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). [hyper(286,a,15070,a(flip),b,15566,a),flip(a)]. given #13311 (H,wt=14): 15577 L(K(x,y),z,u / (u * x)) = K(x,y). [hyper(286,a,6804,a(flip),b,15576,a),flip(a)]. given #13312 (H,wt=17): 15578 L(K(x,y),z,u / (u * x)) != w | K(x,y) = w. [para(15576(a,2),7512(a,1))]. given #13313 (H,wt=24): 15568 T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). [para(11395(a,1),15354(a,1,1))]. given #13314 (H,wt=24): 15575 x * K(y,K(z,R(u,w,w \ x))) = (K(z,K(u,y)) * w) * (w \ x). [para(9096(a,1),15551(a,1,2))]. given #13315 (H,wt=23): 15580 (K(x,K(y,z)) * u) * (u \ K(y,z)) = K(y,z) * K(z,K(x,y)). [para(11087(a,1),15575(a,1,2)),flip(a)]. given #13316 (H,wt=19): 15581 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [hyper(286,a,8072,a(flip),b,15580,a),flip(a)]. given #13317 (H,wt=19): 15582 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(8060(a,2),15581(a,1,1,1))]. given #13318 (H,wt=19): 15583 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(116,a,7723,a,b,15582,a)]. given #13319 (H,wt=19): 15584 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(76(a,1),15583(a,1,2)),flip(a)]. given #13320 (H,wt=19): 15585 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(8102,a,15584,a)]. given #13321 (H,wt=25): 15010 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [hyper(6138,a,14998,a),flip(a)]. given #13322 (H,wt=23): 15587 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [hyper(286,a,8628,a(flip),b,15010,a),flip(a)]. given #13323 (H,wt=23): 15588 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [hyper(8134,a,15587,a)]. given #13324 (H,wt=21): 15589 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(6717(a,1),15588(a,1,2))]. given #13325 (H,wt=25): 15038 K(x,((y * z) / y) \ u) * K(x,K(z,u)) = K(x,u / ((y * z) / y)). [para(15016(a,1),8718(a,1,2))]. given #13326 (H,wt=23): 15590 K(x,y / ((z * u) / z)) = K(x,T(u,z) \ y) * K(x,K(u,y)). [para(14737(a,1),15038(a,1,1)),flip(a)]. given #13327 (H,wt=17): 15591 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(286,a,15027,a(flip),b,15590,a),flip(a)]. given #13328 (H,wt=17): 15592 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(62,a,15572,a(flip),b,15591,a),flip(a)]. given #13329 (H,wt=17): 15595 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13755,a,15592,a),flip(a)]. given #13330 (H,wt=15): 15597 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(13144,a,15595,a)]. given #13331 (H,wt=17): 15598 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(15597(a,1),4667(a,2,1))]. given #13332 (H,wt=15): 15599 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(286,a,4667,a,b,15598,a),flip(a)]. given #13333 (H,wt=23): 15596 K(x,y / T((z \ 1) \ u,w)) = K(x,y * T((u \ 1) / z,w)). [para(6425(a,1),15592(a,1,2,2,1))]. given #13334 (H,wt=25): 15045 K((x * (y / x)) * z,u) * K(y,K(z,u)) = K(z * (x * (y / x)),u). [para(15025(a,1),12165(a,1,2))]. given #13335 (H,wt=25): 15099 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(15052(a,1),12829(a,1,1))]. given #13336 (H,wt=23): 15603 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),15099(a,1,2,1,1,1))]. given #13337 (H,wt=25): 15107 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(15054(a,1),14699(a,1,2))]. given #13338 (H,wt=25): 15155 x \ T(y * T(x,K(z,u)),K(u,T(z,w))) = T(y,K(T(z,w),u) * x). [para(15142(a,1),14707(a,1,2,1,2))]. given #13339 (H,wt=23): 15608 T(x,K(T(y,z),u) * w) = w \ T(x * T(w,K(y,u)),K(y,u)). [para(15142(a,1),15155(a,1,2)),flip(a)]. given #13340 (H,wt=17): 15609 T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w). [hyper(286,a,14707,a(flip),b,15608,a),flip(a)]. given #13341 (H,wt=17): 15611 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [para(7777(a,1),15609(a,1,2,1))]. given #13342 (H,wt=25): 15242 K(x,K(y,K(z,u) \ w)) \ (w * K(u,z)) = T(w * K(u,z),K(x,y)). [para(15084(a,2),8046(a,1,1,2))]. given #13343 (H,wt=25): 15305 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(104(a,1),15208(a,1,2,2))]. given #13344 (H,wt=25): 15311 K(x,T(y,L((z / u) / w,w,u))) != v5 | K(x,T(y,(w * u) \ z)) = v5. [para(14495(a,2),15265(a,1))]. given #13345 (H,wt=25): 15320 T(T(x,K(y,z * u)),T(u * z,w) * y) = T(x,y * T(u * z,w)). [para(15146(a,1),15147(a,1,1))]. given #13346 (H,wt=23): 15612 T(T(x,K(y,z * u)),(z * u) * y) = T(x,y * T(u * z,u)). [hyper(62,a,15564,a(flip),b,15320,a)]. given #13347 (H,wt=17): 15613 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [hyper(12137,a,15612,a),flip(a)]. given #13348 (H,wt=17): 15614 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [para(10(a,1),15613(a,1,2,2,1)),flip(a)]. given #13349 (H,wt=25): 15331 K(x \ T(y,z),L(u,x,y \ z)) != w | K(((y \ z) * x) \ z,u) = w. [para(15330(a,1),11909(a,1))]. given #13350 (H,wt=25): 15352 K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). [hyper(12205,a,15240,a)]. given #13351 (H,wt=23): 15615 K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). [hyper(8190,a,15352,a),flip(a)]. given #13352 (H,wt=25): 15357 (x \ 1) * T(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). [hyper(62,a,4917,a(flip),b,15289,a)]. given #13353 (H,wt=23): 15616 (x \ 1) * T(x,K(y,z) * (u * z)) = K(x,u * T(z,y \ 1)). [para(14771(a,1),15357(a,1,2))]. given #13354 (H,wt=21): 15617 (x \ 1) * T(x,y * T(z,u)) = K(x,y * T(z,u \ 1)). [para(15254(a,1),15616(a,1,2))]. given #13355 (H,wt=17): 15618 K(x,y * T(z,u \ 1)) = K(x,y * T(z,u)). [hyper(6961,a,15617,a),flip(a)]. given #13356 (H,wt=20): 15619 K(x,y * T(z,u \ 1)) != w | K(x,y * T(z,u)) = w. [para(15617(a,1),6961(a,1))]. given #13357 (H,wt=21): 15620 K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w \ 1) * y). [hyper(62,a,15451,a(flip),b,15618,a),flip(a)]. given #13358 (H,wt=17): 15623 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(62,a,15451,a(flip),b,15620,a),flip(a)]. given #13359 (H,wt=21): 15621 (x * K(y,z * T(u,w))) \ x = K(z * T(u,w \ 1),y). [para(15618(a,1),6895(a,1,1,2))]. given #13360 (H,wt=20): 15626 K(x * T(y,z \ 1),u) != w | K(x * T(y,z),u) = w. [para(15621(a,1),6902(a,1))]. given #13361 (H,wt=25): 15384 K(x * (K(y \ z,y) * (u * z)),w) = K(x * (u * ((y \ z) * y)),w). [para(10589(a,1),15362(a,1,1,2))]. given #13362 (H,wt=25): 15385 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x / (u * (x * K(y,z))),w). [hyper(62,a,14668,a,b,15363,a)]. given #13363 (H,wt=25): 15477 K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (T(u,w) * w))). [para(10835(a,1),15465(a,1,2,2)),flip(a)]. given #13364 (H,wt=25): 15482 K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K(T(z,u) \ K(y,x),w). [hyper(15463,a,14483,a(flip)),flip(a)]. given #13365 (H,wt=23): 15628 K(x \ K(T(y,x * z),u),T(w,z)) = K(T(x,z) \ K(y,u),w). [hyper(6985,a,15482,a)]. given #13366 (H,wt=23): 15629 K(x \ K(y,T(z,x * u)),T(w,u)) = K(T(x,u) \ K(y,z),w). [para(7777(a,1),15628(a,1,1,2))]. given #13367 (H,wt=25): 15483 K(x,K(y,T(z,u))) * K(w,T(v5,v6)) = T(K(w,v5) * K(x,K(y,z)),v6). [hyper(8515,a,15338,a)]. given #13368 (H,wt=25): 15487 K(x * (T(y,z * (u \ 1)) * w),v5) = K(x * (T(y,u \ z) * w),v5). [para(13723(a,1),15471(a,1,1,2,1))]. given #13369 (H,wt=25): 15517 (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). [para(5704(a,1),15276(a,1,1))]. given #13370 (H,wt=25): 15524 K(x * (y * (z \ K(u,w))),T(v5,x)) = K((y * (K(u,w) / z)) * x,v5). [hyper(286,a,12087,a(flip),b,15460,a),flip(a)]. given #13371 (H,wt=25): 15558 T(x,a(T(y \ 1,z) * u,w,v5)) = x * a(x,w,K(v5,T(y,z) \ u)). [para(15555(a,1),14206(a,1,2,3)),flip(a)]. given #13372 (H,wt=25): 15561 K(x,T(y \ 1,z \ K(u,w)) \ v5) = K(x,T(y,K(w,u) * z) * v5). [hyper(62,a,14824,a(flip),b,15560,a)]. given #13373 (H,wt=25): 15586 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(15585(a,1),7894(a,1,1)),flip(a)]. given #13374 (H,wt=25): 15607 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),15107(a,1,2,1)),flip(a)]. given #13375 (H,wt=25): 15630 K(x,K(y,T(z,u))) * K(y * x,T(x,w)) = K(x * T(y,w),T(x,z)). [hyper(286,a,13232,a(flip),b,15483,a),flip(a)]. given #13376 (H,wt=15): 15637 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(33,a,8736,a,b,15630,a)]. given #13377 (H,wt=25): 15635 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(8032(a,2),15586(a,2,2))]. given #13378 (H,wt=26): 15514 K(x,T(y,z) * u) != w * K(x,K(u,T(y,v5))) | K(x,u * T(y,z)) = w. [para(15188(a,1),43(a,1))]. given #13379 (H,wt=26): 15535 K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). [para(4380(a,1),15533(a,1,2,1)),flip(a)]. given #13380 (H,wt=19): 15639 K(x \ 1,T(y * x,z)) = K(x \ 1,T(y,z) * x). [para(4385(a,1),15535(a,1,2)),flip(a)]. given #13381 (H,wt=19): 15640 K(x \ 1,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(286,a,12076,a(flip),b,15639,a),flip(a)]. given #13382 (H,wt=19): 15641 K(1 / x,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(6487,a,15640,a)]. given #13383 (H,wt=21): 15644 K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). [hyper(62,a,11345,a,b,15641,a)]. given #13384 (H,wt=25): 15642 K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). [hyper(10130,a,15641,a),flip(a)]. given #13385 (H,wt=23): 15645 K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). [hyper(6495,a,15642,a),flip(a)]. given #13386 (H,wt=21): 15646 K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). [hyper(6983,a,15645,a),flip(a)]. given #13387 (H,wt=26): 15538 (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * x) / (y * (u \ x))) = w. [para(15536(a,1),10378(a,1))]. given #13388 (H,wt=26): 15541 K(x,(y * z) / (y * ((u \ z) \ z))) = R(T(K(x,z / u),z * y),z,y). [hyper(286,a,6769,a(flip),b,15537,a),flip(a)]. given #13389 (H,wt=26): 15543 K(x \ y,(z * y) / (z * (u \ y))) != w | K((x * z) \ (y * z),u) = w. [para(15537(a,2),7293(a,1))]. given #13390 (H,wt=26): 15544 K(x \ y,(z * y) / (z * (u \ y))) = K(y / x,L(T(u,y * z),y,z)). [hyper(286,a,14485,a,b,15540,a),flip(a)]. given #13391 (H,wt=25): 15649 K(x / y,L(T(z,x * u),x,u)) != w | K((y * u) \ (x * u),z) = w. [para(15544(a,1),15543(a,1))]. given #13392 (H,wt=26): 15632 K((x * (K(y,z) / u)) * w,v5) != v6 | K((x * (u \ K(y,z))) * w,v5) = v6. [para(15524(a,1),12095(a,1))]. given #13393 (H,wt=25): 15650 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * K(u,z)) * x) \ w,v5). [hyper(15632,a,13801,a)]. given #13394 (H,wt=26): 15634 T(x,a(T(y \ 1,z) * u,w,v5)) != v6 | T(x,a(T(y,z) \ u,w,v5)) = v6. [para(15558(a,2),14208(a,1))]. given #13395 (H,wt=26): 15648 K(x,(y * (z * u)) / (y * u)) != w | K(x,(y * u) / (y * (z \ u))) = w. [para(15542(a,2),15538(a,1))]. given #13396 (H,wt=27): 15029 K(x * T(x \ y,z),u) * K(x,K(y / x,u)) = K(x * T(y / x,z),u). [para(15013(a,1),12160(a,1,2))]. given #13397 (H,wt=27): 15151 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(15127(a,1),12383(a,1,2))]. given #13398 (H,wt=27): 15249 K(x,K(y,z * u)) * K(y * ((z \ 1) \ u),x) = K(((z \ 1) \ u) * y,x). [hyper(286,a,12166,a(flip),b,15204,a),flip(a)]. given #13399 (H,wt=27): 15290 K(K(x,x \ (K(y,z) * (u * z))) * w,v5) = K(K(x,u * T(z,y)) * w,v5). [para(15258(a,1),13161(a,2,1,1))]. given #13400 (H,wt=27): 15348 x * (K(y,z) * a(K(y,z) * x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). [para(14187(a,2),15229(a,1,2,2))]. given #13401 (H,wt=27): 15388 K(x,(y \ T(z,K(u,w))) / T(v5,y \ z)) = K(x,v5 \ (y \ T(z,K(u,w)))). [para(15378(a,1),13096(a,1,2,2))]. given #13402 (H,wt=27): 15468 x * (K(y / z,u) * K(x * K(z \ y,u),x)) = T(x * K(y / z,u),x). [para(15433(a,2),6636(a,1,2,2))]. given #13403 (H,wt=19): 15655 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10335(a,1),15468(a,1,2)),flip(a)]. given #13404 (H,wt=17): 15656 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(13185(a,1),15655(a,2,2))]. given #13405 (H,wt=26): 15657 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(15656(a,1),10382(a,1,1,2))]. given #13406 (H,wt=22): 15658 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(9(a,1),15657(a,1,1))]. given #13407 (H,wt=10): 15659 L(x,K(y \ x,z),x) = x. [hyper(8293,a,15658,a),flip(a)]. given #13408 (H,wt=8): 15661 L(x,K(y,z),x) = x. [para(76(a,1),15659(a,1,2,1))]. given #13409 (H,wt=8): 15662 R(x,K(y,z),x) = x. [hyper(62,a,4291,a(flip),b,15661,a),flip(a)]. given #13410 (H,wt=13): 15664 T(x * K(y,z),x) = K(y,z) * x. [para(15661(a,1),4024(a,1,1,1))]. given #13411 (H,wt=15): 15666 x * K(K(y,z) * x,x) = T(x,K(y,z)). [hyper(62,a,11609,a(flip),b,15662,a)]. given #13412 (H,wt=15): 15671 x * K(x * K(y,z),x) = T(x,K(y,z)). [para(7011(a,1),15666(a,1,2))]. given #13413 (H,wt=13): 15672 K(x * K(y,z),x) = K(x,K(y,z)). [hyper(33,a,4659,a(flip),b,15671,a),flip(a)]. given #13414 (H,wt=25): 15673 T(T(x * K(y,z),u),T(x,u)) = K(x,K(y,z)) * T(x * K(y,z),u). [para(15672(a,1),8171(a,2,1))]. given #13415 (H,wt=25): 15674 T(T(x * K(y,z),u),T(x,u)) = T(K(x,K(y,z)) * (x * K(y,z)),u). [hyper(286,a,15316,a,b,15673,a),flip(a)]. given #13416 (H,wt=23): 15675 T(T(x * K(y,z),u),T(x,u)) = T(T(x,K(y,z)) * K(y,z),u). [para(4675(a,1),15674(a,2,1))]. given #13417 (H,wt=19): 15676 T(T(x * K(y,z),u),T(x,u)) = T(K(y,z) * x,u). [para(8128(a,1),15675(a,2,1))]. given #13418 (H,wt=26): 15667 T(x * K(y,L(z,u \ 1,u * x)),x) = (K(y,z) / u) * ((u \ 1) \ x). [hyper(286,a,14531,a(flip),b,15664,a),flip(a)]. given #13419 (H,wt=25): 15677 T((x / (y \ 1)) * (y \ K(z,u)),x) = (K(z,u) / y) * ((y \ 1) \ x). [para(14527(a,1),15667(a,1,1))]. given #13420 (H,wt=26): 15669 T((x / (y \ 1)) * (y \ K(z,u)),x) = K(z,L(u,y,y \ (x \ 1))) * x. [para(14573(a,1),15664(a,1,1))]. given #13421 (H,wt=24): 15678 K(x,L(y,z,z \ (u \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). [hyper(62,a,15677,a(flip),b,15669,a),flip(a)]. given #13422 (H,wt=27): 15520 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(15198(a,1),15335(a,1,1,1))]. given #13423 (H,wt=27): 15545 K((x * y) / (x * (z \ y)),u \ y) = (w * K((u * x) \ (y * x),z)) \ w. [para(15540(a,1),6895(a,1,1,2)),flip(a)]. given #13424 (H,wt=23): 15682 K((x * y) / (x * (z \ y)),u \ y) = K(z,(u * x) \ (y * x)). [hyper(286,a,15072,a(flip),b,15545,a),flip(a)]. given #13425 (H,wt=23): 15683 K(x,(y * z) / (y * ((u \ z) \ z))) = K(x,(u * y) \ (z * y)). [hyper(10378,a,15682,a)]. given #13426 (H,wt=27): 15622 K(x,y * T(z,(u \ T(w,v5)) \ 1)) = K(x,y * T(z,K(v5,w) * (u \ w))). [para(15256(a,2),15618(a,2,2,2))]. given #13427 (H,wt=25): 15684 K(x,y * T(z,K(u,w) * (v5 \ w))) = K(x,y * T(z,T(w,u) \ v5)). [para(6745(a,1),15622(a,1,2,2)),flip(a)]. given #13428 (H,wt=27): 15625 K(x,T(y,(z \ T(u,w)) \ 1) * v5) = K(x,T(y,K(w,u) * (z \ u)) * v5). [para(15256(a,2),15623(a,2,2,1))]. given #13429 (H,wt=25): 15685 K(x,T(y,K(z,u) * (w \ u)) * v5) = K(x,T(y,T(u,z) \ w) * v5). [para(6745(a,1),15625(a,1,2,1)),flip(a)]. given #13430 (H,wt=27): 15647 K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(14397(a,2),15538(a,1))]. given #13431 (H,wt=27): 15651 K(x * T(x \ y,z),u) * K(x,K(u,y / x)) = K(x * T(y / x,z),u). [para(8077(a,1),15029(a,1,2))]. given #13432 (H,wt=25): 15686 K(x * T(x \ y,z),u) * K(x,K(u,y)) = K(x * T(y / x,z),u). [para(8693(a,1),15651(a,1,2))]. given #13433 (H,wt=25): 15687 K(x * T(x \ y,z),u) * K(x,K(y,u)) = K(x * T(y / x,z),u). [para(8077(a,1),15686(a,1,2))]. given #13434 (H,wt=27): 15681 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6901,a,15520,a),flip(a)]. given #13435 (H,wt=27): 15688 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7723(a,2),15681(a,1,2))]. given #13436 (H,wt=27): 15689 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7820,a,15688,a),flip(a)]. given #13437 (H,wt=28): 15236 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(15078(a,1),81(a,1,1,2))]. given #13438 (H,wt=28): 15237 (K(x,y) * (K(z,u) * w)) * a(K(x,y),K(z,u),w) = (K(z,u) * K(x,y)) * w. [para(15078(a,1),81(a,2,1))]. given #13439 (H,wt=28): 15484 T(K(x,y) * K(z,K(u,w)),v5) != v6 | K(z,K(u,T(w,v7))) * K(x,T(y,v5)) = v6. [para(15338(a,1),8515(a,1))]. given #13440 (H,wt=28): 15504 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8227(a,2),15492(a,1,2))]. given #13441 (H,wt=26): 15693 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(9501(a,1),15504(a,1,2))]. given #13442 (H,wt=22): 15694 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(15513,a,15693,a),flip(a)]. given #13443 (H,wt=25): 15695 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15693(a,1),15513(a,1))]. given #13444 (H,wt=28): 15573 K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,L(T(T(u,y),z),y,y \ z)). [para(10(a,1),15548(a,1,2,1,2)),flip(a)]. given #13445 (H,wt=27): 15697 K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,((z / y) * (u * y)) / z). [hyper(286,a,11949,a(flip),b,15573,a),flip(a)]. given #13446 (H,wt=27): 15698 K(x,((y \ z) * y) / ((y \ z) * (u \ y))) = K(x,((z / y) * (u * y)) / z). [hyper(15648,a,15697,a)]. given #13447 (H,wt=28): 15605 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(15603(a,1),4745(a,1,2)),flip(a)]. given #13448 (H,wt=26): 15699 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(286,a,5740,a(flip),b,15605,a),flip(a)]. given #13449 (H,wt=21): 15700 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3873,a,15699,a),flip(a)]. given #13450 (H,wt=19): 15702 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(62,a,15091,a(flip),b,15700,a),flip(a)]. given #13451 (H,wt=21): 15703 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(15702(a,2),11901(a,1,1))]. given #13452 (H,wt=21): 15704 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(12092(a,1),15703(a,1,1,1))]. given #13453 (H,wt=27): 15705 T((x \ 1) * K((x \ 1) * y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [hyper(286,a,13501,a(flip),b,15704,a),flip(a)]. given #13454 (H,wt=25): 15707 T((x \ 1) * K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [para(13495(a,1),15705(a,1,1,1,2))]. given #13455 (H,wt=23): 15708 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [para(13512(a,1),15707(a,1,1,1))]. given #13456 (H,wt=25): 15709 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,(x \ 1) * y). [hyper(286,a,13501,a,b,15708,a),flip(a)]. given #13457 (H,wt=26): 15713 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) != u | K(z,x \ y) = u. [para(15709(a,2),13560(a,1))]. given #13458 (H,wt=28): 15633 T(x,a(T(y \ 1,z) * u,w,v5)) != x * v6 | a(x,w,K(v5,T(y,z) \ u)) = v6. [para(15558(a,2),42(a,1))]. given #13459 (H,wt=28): 15691 (K(x,y) * (K(z,u) * w)) * a(x,K(z,u),K(w,y)) = (K(z,u) * K(x,y)) * w. [para(14176(a,1),15237(a,1,2))]. given #13460 (H,wt=29): 15215 K(x,T((K(y,z) * u) \ w,u * K(y,z)) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). [para(15060(a,1),14738(a,1,2,1))]. given #13461 (H,wt=29): 15286 K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [hyper(62,a,12204,a,b,15247,a)]. given #13462 (H,wt=29): 15287 K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(4788(a,2),15247(a,1,2))]. given #13463 (H,wt=29): 15308 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) != v5 | K(x,K(a(z,u,w),T(y,v6))) = v5. [para(10875(a,2),15261(a,1))]. given #13464 (H,wt=29): 15309 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) != v5 | K(x,K(a(y,z,u),T(w,v6))) = v5. [para(10876(a,2),15261(a,1))]. given #13465 (H,wt=29): 15318 (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (K(y,x) * T(u,K(y,x))). [para(15144(a,1),11415(a,1,2))]. given #13466 (H,wt=25): 15714 (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (u * K(y,x)). [hyper(286,a,202,a(flip),b,15318,a),flip(a)]. given #13467 (H,wt=29): 15518 K(T(x,y) * (z \ 1),T(u,K(x,z))) \ T(u,K(x,z)) = T(u,(z \ 1) * T(x,y)). [hyper(4687,a,15319,a)]. given #13468 (H,wt=27): 15715 K((x \ 1) * T(y,x),T(z,y)) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(12093(a,1),15518(a,1,1))]. given #13469 (H,wt=23): 15716 K((x \ 1) * y,z) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(15269(a,1),15715(a,1,1))]. given #13470 (H,wt=23): 15717 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,(y \ 1) * T(z,y)). [hyper(5865,a,15716,a)]. given #13471 (H,wt=17): 15718 T(x,(y \ 1) * T(z,y)) = T(x,z * (y \ 1)). [hyper(62,a,12206,a(flip),b,15717,a),flip(a)]. given #13472 (H,wt=17): 15719 T(x,T(y,z) * (z \ 1)) = T(x,(z \ 1) * y). [hyper(14753,a,15718,a),flip(a)]. given #13473 (H,wt=29): 15525 (x * y) / (K(z * (u * (w \ K(v5,v6))),x) * y) = T(x,z * (u * (K(v5,v6) / w))). [para(15460(a,2),5746(a,1,2,1))]. given #13474 (H,wt=26): 15720 T(x,y * (z * (K(u,w) / v5))) != v6 | T(x,y * (z * (v5 \ K(u,w)))) = v6. [para(15525(a,1),5878(a,1))]. given #13475 (H,wt=25): 15721 T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y / ((u * K(v5,w)) * z)). [hyper(15720,a,13812,a)]. given #13476 (H,wt=29): 15534 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). [hyper(286,a,8183,a(flip),b,15533,a),flip(a)]. given #13477 (H,wt=23): 15722 K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). [hyper(10293,a,15534,a),flip(a)]. given #13478 (H,wt=19): 15723 K(x,T(T(y / x,z),u)) = K(x,T(T(y,z) / x,u)). [hyper(62,a,9958,a(flip),b,15722,a),flip(a)]. given #13479 (H,wt=29): 15546 K(x,L((y * (z * u)) / (y * u),w,v5)) = (u * y) \ ((u * K(L(x,w,v5),z)) * y). [hyper(11807,a,15542,a)]. given #13480 (H,wt=29): 15549 K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = (w * y) \ ((w * K(x,u \ z)) * y). [para(6717(a,1),15542(a,2,2,1,2))]. given #13481 (H,wt=29): 15550 K(x,(y * (R(z,u,w) * v5)) / (y * v5)) = (v5 * y) \ ((v5 * K(x,L(z,u,w))) * y). [para(14373(a,1),15542(a,2,2,1,2))]. given #13482 (H,wt=29): 15574 (x * y) * K(z,(x * (u * y)) / (x * y)) = x * (y * K(z,T(T(u,y),y * x))). [para(15548(a,1),11753(a,1,2))]. given #13483 (H,wt=23): 15726 x * (y * K(z,T(T(u,y),y * x))) = (y * K(z,u)) * T(x,y). [hyper(62,a,14539,a(flip),b,15574,a),flip(a)]. given #13484 (H,wt=21): 15727 x * (K(y,T(z,u * x)) * u) = (u * K(y,z)) * T(x,u). [para(7766(a,1),15726(a,1,2))]. given #13485 (H,wt=29): 15624 K(x,T(y,(z \ 1) * (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). [para(13625(a,1),15623(a,1,2,1,2))]. given #13486 (H,wt=27): 15728 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). [para(13674(a,1),15624(a,1,2,1))]. given #13487 (H,wt=29): 15636 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),15607(a,1,2,2,1,2))]. given #13488 (H,wt=25): 15729 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(62,a,13152,a(flip),b,15636,a)]. given #13489 (H,wt=25): 15730 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5839(a,1),15729(a,2,2,2))]. given #13490 (H,wt=21): 15731 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(15420,a,15730,a)]. given #13491 (H,wt=21): 15732 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8343,a,15731,a)]. given #13492 (H,wt=17): 15734 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(15418,a,15732,a),flip(a)]. given #13493 (H,wt=15): 15737 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(286,a,8170,a(flip),b,15734,a),flip(a)]. given #13494 (H,wt=15): 15739 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(14979,a,15737,a)]. given #13495 (H,wt=15): 15740 K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). [hyper(14955,a,15737,a)]. given #13496 (H,wt=15): 15741 T(K(x,y),K(z,u) * w) = K(x,T(y,w)). [hyper(8500,a,15737,a)]. given #13497 (H,wt=15): 15744 K(T(x,K(y,z) * u),w) = K(x,T(w,u)). [hyper(7829,a,15737,a)]. given #13498 (H,wt=15): 15765 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(15161,a,15740,a)]. given #13499 (H,wt=17): 15747 K(x,T(y,T(z,u) * w)) = K(x,T(y,z * w)). [para(4644(a,1),15737(a,1,2,2)),flip(a)]. given #13500 (H,wt=17): 15748 K(x,T(y,T(z,u) \ w)) = K(x,T(y,z \ w)). [para(5715(a,1),15737(a,1,2,2)),flip(a)]. given #13501 (H,wt=17): 15749 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(6145(a,1),15737(a,1,2,2))]. given #13502 (H,wt=18): 15738 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(15734(a,2),8231(a,1))]. given #13503 (H,wt=18): 15764 K(x,T(y,z)) != u | K(x,T(y,K(w,v5) * z)) = u. [para(15739(a,1),14979(a,1))]. given #13504 (H,wt=18): 15779 K(x,T(y,z * K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(7844(a,1),15738(a,1,2,2))]. given #13505 (H,wt=19): 15750 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(6567(a,1),15737(a,1,2,2)),flip(a)]. given #13506 (H,wt=19): 15751 K(x,T(y,(K(z,u) * w) * v5)) = K(x,T(y,w * v5)). [para(7242(a,1),15737(a,1,2,2))]. given #13507 (H,wt=19): 15758 K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(v5,v6))). [hyper(286,a,15737,a,b,15739,a)]. given #13508 (H,wt=19): 15760 K(x,T(y,z / (u \ w))) = K(x,T(y,z / (w / u))). [para(7112(a,1),15739(a,1,2,2)),flip(a)]. given #13509 (H,wt=20): 15776 K(x,T(y,T(z,u) * w)) != v5 | K(x,T(y,z * w)) = v5. [para(4675(a,1),15738(a,1,2,2))]. given #13510 (H,wt=20): 15778 K(x,T(y,z * T(u,w))) != v5 | K(x,T(y,z * u)) = v5. [para(6145(a,1),15738(a,1,2,2))]. given #13511 (H,wt=21): 15746 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,T(L(y,v5,v6),w)). [para(25(a,2),15737(a,1,2))]. given #13512 (H,wt=21): 15755 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(15737(a,1),14967(a,1,2))]. given #13513 (H,wt=21): 15767 K(x,T(y,z)) * (z \ K(u,w)) = (z \ K(u,w)) * K(x,y). [para(15740(a,1),8146(a,1,1))]. given #13514 (H,wt=21): 15770 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15765(a,1),8146(a,1,1))]. given #13515 (H,wt=19): 15794 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(62,a,13635,a(flip),b,15770,a)]. given #13516 (H,wt=21): 15787 K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,u * (z \ 1))). [hyper(13818,a,15751,a)]. given #13517 (H,wt=19): 15796 K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,z \ u)). [hyper(286,a,14970,a(flip),b,15787,a),flip(a)]. given #13518 (H,wt=21): 15791 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [para(25(a,2),15746(a,2,2))]. given #13519 (H,wt=21): 15795 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(62,a,13787,a,b,15794,a)]. given #13520 (H,wt=22): 15777 K(x,T(y,(z / u) * w)) != v5 | K(x,T(y,(u \ z) * w)) = v5. [para(6020(a,1),15738(a,1,2,2))]. given #13521 (H,wt=22): 15781 K(x,T(y,z * (u * w))) != v5 | K(x,T(y,z * (w * u))) = v5. [para(7093(a,1),15779(a,1,2,2))]. given #13522 (H,wt=22): 15782 K(x,T(y,z / (u / w))) != v5 | K(x,T(y,z / (w \ u))) = v5. [para(7112(a,1),15779(a,1,2,2))]. given #13523 (H,wt=22): 15783 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(7121(a,1),15779(a,1,2,2))]. given #13524 (H,wt=23): 15773 K((x * T(y,z)) * u,T(w,x * y)) = K(u * (x * T(y,z)),w). [hyper(12095,a,15749,a),flip(a)]. given #13525 (H,wt=23): 15785 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(286,a,8043,a,b,15750,a),flip(a)]. given #13526 (H,wt=19): 15800 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(8268,a,15785,a)]. given #13527 (H,wt=15): 15803 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(4796(a,1),15800(a,1,2,2)),flip(a)]. given #13528 (H,wt=15): 15807 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(5846(a,1),15800(a,1,2,2)),flip(a)]. given #13529 (H,wt=15): 15814 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(62,a,14984,a,b,15803,a)]. given #13530 (H,wt=15): 15823 K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). [hyper(8437,a,15807,a)]. given #13531 (H,wt=15): 15824 K(x,K(y,K(z,u) * w)) = K(x,K(w,y)). [hyper(286,a,8077,a,b,15807,a),flip(a)]. given #13532 (H,wt=15): 15825 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(286,a,8060,a(flip),b,15807,a),flip(a)]. given #13533 (H,wt=15): 15829 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(14999,a,15814,a)]. given #13534 (H,wt=15): 15830 K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). [hyper(286,a,8060,a(flip),b,15814,a),flip(a)]. given #13535 (H,wt=15): 15835 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(15195,a,15824,a)]. given #13536 (H,wt=15): 15841 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(286,a,8077,a,b,15829,a),flip(a)]. given #13537 (H,wt=15): 15849 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(8109,a,15841,a)]. given #13538 (H,wt=17): 15804 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4638(a,1),15800(a,1,2,2))]. given #13539 (H,wt=17): 15815 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6605(a,1),15803(a,1,2,2))]. given #13540 (H,wt=17): 15819 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(8024(a,1),15803(a,1,2,2))]. given #13541 (H,wt=17): 15827 T(x,K(y,K(z,u) * w)) = K(y,K(x,w)) * x. [para(15807(a,1),8062(a,1,1)),flip(a)]. given #13542 (H,wt=15): 15858 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(286,a,8062,a(flip),b,15827,a),flip(a)]. given #13543 (H,wt=15): 15860 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(62,a,15146,a,b,15858,a)]. given #13544 (H,wt=17): 15834 K(x,K(y,z \ T(u,w))) = K(x,K(y,u \ z)). [para(14879(a,1),15823(a,1,2))]. given #13545 (H,wt=17): 15845 K(x,K(y * T(z,u),w)) = K(x,K(y * z,w)). [para(1271(a,1),15835(a,1,2,1))]. given #13546 (H,wt=17): 15846 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1268(a,1),15835(a,1,2,1))]. given #13547 (H,wt=17): 15853 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [hyper(15208,a,15804,a)]. given #13548 (H,wt=17): 15861 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(6145(a,1),15858(a,1,2,2))]. given #13549 (H,wt=18): 15838 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(15824(a,1),15195(a,1))]. given #13550 (H,wt=18): 15842 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(15829(a,2),8109(a,1))]. given #13551 (H,wt=18): 15843 K(x,K(y,K(z,u) \ w)) != v5 | K(x,K(y,w)) = v5. [para(15830(a,2),8097(a,1))]. given #13552 (H,wt=18): 15850 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15841(a,1),8421(a,1))]. given #13553 (H,wt=18): 15859 T(x,K(y,K(z,u) * w)) != v5 | T(x,K(y,w)) = v5. [para(15827(a,2),8065(a,1))]. given #13554 (H,wt=18): 15875 T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. [para(4605(a,1),15859(a,1,2,2))]. given #13555 (H,wt=18): 15877 T(x,K(y,z * K(u,w))) != v5 | T(x,K(y,z)) = v5. [para(7844(a,1),15859(a,1,2,2))]. given #13556 (H,wt=19): 15802 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). [hyper(286,a,15028,a,b,15800,a),flip(a)]. given #13557 (H,wt=19): 15808 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(6011(a,2),15800(a,1,2,2))]. given #13558 (H,wt=19): 15809 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(7844(a,1),15800(a,1,2,2,2))]. given #13559 (H,wt=19): 15810 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(11381(a,1),15800(a,1,2,2))]. given #13560 (H,wt=19): 15816 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(7111(a,2),15803(a,1,2,2))]. given #13561 (H,wt=19): 15817 K(x,K(y,z / (u \ w))) = K(x,K(y,z / (w / u))). [para(7112(a,1),15803(a,1,2,2)),flip(a)]. given #13562 (H,wt=19): 15818 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(7277(a,1),15803(a,1,2,2)),flip(a)]. given #13563 (H,wt=19): 15820 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10819(a,1),15803(a,1,2,2))]. given #13564 (H,wt=19): 15826 K(x,K(y,(z \ u) \ w)) = K(x,K(y,(u / z) \ w)). [para(6001(a,1),15807(a,1,2,2)),flip(a)]. given #13565 (H,wt=19): 15852 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(286,a,15835,a,b,15849,a),flip(a)]. given #13566 (H,wt=19): 15855 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(222(a,1),15815(a,1,2,2,2)),flip(a)]. given #13567 (H,wt=19): 15864 T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). [para(15219(a,1),15858(a,1,2))]. given #13568 (H,wt=19): 15865 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ T(u,v5))). [hyper(286,a,15834,a,b,15834,a)]. given #13569 (H,wt=19): 15866 K(x,K(y,(z * u) \ w)) = K(x,K(y,w \ (u * z))). [para(13120(a,1),15834(a,1,2)),flip(a)]. given #13570 (H,wt=19): 15880 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [para(8209(a,1),15802(a,1,2,2,2)),flip(a)]. given #13571 (H,wt=19): 15890 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8434,a,15820,a)]. given #13572 (H,wt=19): 15897 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(286,a,8397,a,b,15890,a)]. given #13573 (H,wt=20): 15856 K(x,K(y,z \ u)) != w | K(x,K(y,u \ T(z,v5))) = w. [para(15819(a,1),8422(a,1))]. given #13574 (H,wt=20): 15872 K(x,K(y,T(z,u) * w)) != v5 | K(x,K(y,z * w)) = v5. [para(5727(a,1),15843(a,1,2,2))]. given #13575 (H,wt=20): 15873 K(x,K(T(y,z) / u,w)) != v5 | K(x,K(y / u,w)) = v5. [para(1268(a,1),15850(a,1,2,1))]. given #13576 (H,wt=20): 15874 K(x,K(T(y,z) * u,w)) != v5 | K(x,K(y * u,w)) = v5. [para(6128(a,1),15850(a,1,2,1))]. given #13577 (H,wt=20): 15904 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(15028(a,1),15872(a,1))]. given #13578 (H,wt=21): 15801 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15009,a,15800,a)]. given #13579 (H,wt=19): 15906 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(286,a,15001,a(flip),b,15801,a),flip(a)]. given #13580 (H,wt=19): 15907 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8434,a,15906,a)]. given #13581 (H,wt=19): 15910 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8209(a,1),15907(a,1,2,2,2)),flip(a)]. given #13582 (H,wt=21): 15805 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(4644(a,1),15800(a,1,2,2,2)),flip(a)]. given #13583 (H,wt=21): 15806 K(x,K(y,z * (T(u,w) \ v5))) = K(x,K(y,z * (u \ v5))). [para(5715(a,1),15800(a,1,2,2,2)),flip(a)]. given #13584 (H,wt=21): 15828 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(14484(a,1),15807(a,1,2,2))]. given #13585 (H,wt=21): 15836 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(11780(a,1),15824(a,1,2))]. given #13586 (H,wt=21): 15844 K(x,K(y,z)) \ (x * K(u,w)) = T(x * K(u,w),K(y,z)). [para(15830(a,1),15242(a,1,1))]. given #13587 (H,wt=19): 15914 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(8105,a,15844,a),flip(a)]. given #13588 (H,wt=19): 15917 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6583,a,15914,a),flip(a)]. given #13589 (H,wt=21): 15851 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(11780(a,1),15841(a,1,2))]. given #13590 (H,wt=21): 15879 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(4675(a,1),15802(a,1,2,2,2))]. given #13591 (H,wt=21): 15887 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1268(a,1),15818(a,1,2,2,1))]. given #13592 (H,wt=21): 15895 K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). [para(6605(a,1),15880(a,1,2,2,1))]. given #13593 (H,wt=21): 15908 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(6145(a,1),15906(a,1,2,2,1))]. given #13594 (H,wt=21): 15912 K(x,K((T(y,z) * u) * w,v5)) = K(x,K(v5,w * (y * u))). [hyper(15195,a,15805,a)]. given #13595 (H,wt=21): 15926 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(286,a,8604,a,b,15851,a),flip(a)]. given #13596 (H,wt=21): 15929 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(62,a,15890,a(flip),b,15908,a)]. given #13597 (H,wt=22): 15868 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(62,a,15502,a(flip),b,15846,a),flip(a)]. given #13598 (H,wt=22): 15871 K(x,K(K(y,z) / u,w)) != v5 | K(x,K(u * K(v6,v7),w)) = v5. [para(15849(a,2),15838(a,1))]. given #13599 (H,wt=22): 15876 T(x,K(y,(z / u) * w)) != v5 | T(x,K(y,(u \ z) * w)) = v5. [para(6020(a,1),15859(a,1,2,2))]. given #13600 (H,wt=22): 15878 T(x,K(y,z * (u * K(w,v5)))) != v6 | T(x,K(y,z * u)) = v6. [para(15219(a,1),15859(a,1,2))]. given #13601 (H,wt=22): 15883 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(15802(a,2),15208(a,1))]. given #13602 (H,wt=22): 15889 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15818(a,2),15208(a,1))]. given #13603 (H,wt=22): 15898 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15890(a,1),8434(a,1))]. given #13604 (H,wt=22): 15899 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15890(a,2),8434(a,1))]. given #13605 (H,wt=22): 15900 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(286,a,15503,a(flip),b,15897,a),flip(a)]. given #13606 (H,wt=22): 15902 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15897(a,1),8434(a,1))]. given #13607 (H,wt=22): 15903 K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,(u / z) * w)) = v5. [para(110(a,1),15872(a,1,2,2,1))]. given #13608 (H,wt=22): 15905 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(15562(a,1),15872(a,1,2))]. given #13609 (H,wt=22): 15915 T(x * K(y,z),K(u,w)) != v5 | T(x,K(u,w)) * K(y,z) = v5. [para(15844(a,1),8105(a,1))]. given #13610 (H,wt=22): 15935 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(4605(a,1),15883(a,1,2,2,2))]. given #13611 (H,wt=17): 15940 K(x,K(y,z * (u * x))) = K(x,K(y,u * z)). [hyper(15935,a,15192,a)]. given #13612 (H,wt=17): 15942 K(x,K(y,z * ((z * x) \ u))) = K(x,K(u,y)). [hyper(15263,a,15940,a),flip(a)]. given #13613 (H,wt=22): 15937 K(x,K(y,((z * u) / z) * w)) != v5 | K(x,K(y,u * w)) = v5. [para(6011(a,2),15883(a,1,2,2))]. given #13614 (H,wt=22): 15938 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(7844(a,1),15883(a,1,2,2,2))]. given #13615 (H,wt=22): 15941 K(x,K((y * z) * u,w)) != v5 | K(x,K(w,u * (z * y))) = v5. [para(15041(a,2),15935(a,1))]. given #13616 (H,wt=23): 15789 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(286,a,8043,a,b,15760,a)]. given #13617 (H,wt=23): 15792 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3320(a,1),15755(a,1,2)),flip(a)]. given #13618 (H,wt=21): 15945 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(62,a,13651,a(flip),b,15792,a),flip(a)]. given #13619 (H,wt=19): 15946 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(62,a,15795,a(flip),b,15945,a),flip(a)]. given #13620 (H,wt=23): 15798 K(x,L(T(y,T(z,u) * w),v5,v6)) = K(x,L(T(y,z * w),v5,v6)). [para(4644(a,1),15791(a,1,2,1,2)),flip(a)]. given #13621 (H,wt=23): 15799 K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). [para(6145(a,1),15791(a,1,2,1,2))]. given #13622 (H,wt=23): 15881 K(x,K(y,((z * u) \ w) * v5)) = K(x,K(y,v5 * ((u * z) \ w))). [para(11413(a,1),15802(a,1,2,2,2)),flip(a)]. given #13623 (H,wt=23): 15884 K(x,K(y,z * (u * (w * v5)))) = K(x,K(y,z * (u * (v5 * w)))). [para(7093(a,1),15809(a,1,2,2,2))]. given #13624 (H,wt=23): 15888 K(x,K(y,((z \ u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(7006(a,1),15818(a,1,2,2,1)),flip(a)]. given #13625 (H,wt=23): 15894 K(x,K(y,(z * u) \ (w * v5))) = K(x,K(y,(u * z) \ (v5 * w))). [hyper(286,a,15866,a(flip),b,15866,a)]. given #13626 (H,wt=23): 15896 K(x,K(y,(z \ (u * w)) * v5)) = K(x,K(y,v5 * (z \ (w * u)))). [para(13803(a,1),15880(a,1,2,2,1))]. given #13627 (H,wt=23): 15909 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(7242(a,1),15907(a,1,2,2,2))]. given #13628 (H,wt=23): 15928 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(222(a,1),15887(a,1,2,2,1,1)),flip(a)]. given #13629 (H,wt=23): 15931 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(110(a,1),15929(a,1,2,2,2,1)),flip(a)]. given #13630 (H,wt=23): 15950 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(12(a,1),15884(a,1,2,2,2,2)),flip(a)]. given #13631 (H,wt=23): 15952 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(286,a,8397,a,b,15909,a),flip(a)]. given #13632 (H,wt=23): 15953 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15208,a,15928,a)]. given #13633 (H,wt=23): 15954 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15898,a,15952,a)]. given #13634 (H,wt=23): 15955 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(73(a,1),15953(a,1,2,2,2,1,2)),flip(a)]. given #13635 (H,wt=23): 15957 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(286,a,15820,a,b,15954,a),flip(a)]. given #13636 (H,wt=23): 15959 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z / (u * (v5 / w)))). [para(4699(a,1),15957(a,1,2,2,2,2)),flip(a)]. given #13637 (H,wt=24): 15769 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(15741(a,1),262(a,1,2))]. given #13638 (H,wt=24): 15771 K(x,T(y,z)) * (K(u,w) / z) != v5 | (K(u,w) / z) * K(x,y) = v5. [para(15765(a,1),8210(a,1,1))]. given #13639 (H,wt=22): 15960 K(x,T(y,z)) / T(z,u) != w | (K(u,z) / z) * K(x,y) = w. [para(13635(a,1),15771(a,1))]. given #13640 (H,wt=24): 15780 K(x / (K(y,z) * u),w) != v5 | K((K(y,z) * u) \ x,T(w,u)) = v5. [para(8165(a,1),15738(a,1))]. given #13641 (H,wt=24): 15913 K(x,K(y,z * (T(u,w) * v5))) != v6 | K(x,K(y,(u * v5) * z)) = v6. [para(15805(a,2),15208(a,1))]. given #13642 (H,wt=24): 15927 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(15851(a,2),8606(a,1))]. given #13643 (H,wt=24): 15936 K(x,K(y,z * (T(u,w) \ v5))) != v6 | K(x,K(y,z * (u \ v5))) = v6. [para(5741(a,1),15883(a,1,2,2,2))]. given #13644 (H,wt=24): 15939 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6605(a,1),15889(a,1,2,2,1))]. given #13645 (H,wt=25): 15797 K(x,T(L(T(y,K(z,u) * w),v5,v6),v7)) = K(T(x,v7),L(T(y,w),v5,v6)). [hyper(7981,a,15791,a)]. given #13646 (H,wt=25): 15821 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,(z * K(u,w)) * y). [para(15803(a,1),12192(a,1,2))]. given #13647 (H,wt=25): 15832 K(x,K(y,z)) * K(y,x * (z \ K(u,w))) = K(y,(z \ K(u,w)) * x). [para(15823(a,1),12189(a,1,1))]. given #13648 (H,wt=25): 15833 K(x,(y \ K(z,u)) * w) * K(x,K(w,y)) = K(x,w * (y \ K(z,u))). [para(15823(a,1),12194(a,1,2))]. given #13649 (H,wt=25): 15837 K(x,(K(y,z) * u) * w) * K(x,K(u,w)) = K(x,w * (K(y,z) * u)). [para(15824(a,1),12194(a,1,2))]. given #13650 (H,wt=25): 15840 K((K(x,y) * z) * u,w) * K(z,K(u,w)) = K(u * (K(x,y) * z),w). [para(15825(a,1),12156(a,1,2))]. given #13651 (H,wt=25): 15847 K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K((y * K(z,u)) * x,w). [para(15835(a,1),12158(a,1,2))]. given #13652 (H,wt=25): 15870 T(T(x,K(y,z * u)),(z * T(u,w)) * y) = T(x,y * (z * T(u,w))). [para(15861(a,1),12114(a,1,1))]. given #13653 (H,wt=25): 15882 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,((u \ v5) * v6) * z)). [para(14599(a,1),15802(a,1,2,2,2))]. given #13654 (H,wt=25): 15885 K(x,K(y,z * (u * (w * T(v5,v6))))) = K(x,K(y,z * (u * (w * v5)))). [para(7483(a,1),15809(a,1,2,2,2))]. given #13655 (H,wt=25): 15886 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15817(a,1),8600(a,1,1))]. given #13656 (H,wt=25): 15949 K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,z * (w / u)),v5,v6)). [para(110(a,1),15799(a,1,2,1,2,2))]. given #13657 (H,wt=25): 15961 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(T(x,v5),L(T(y,w),v6,v7)). [para(25(a,2),15797(a,1,2))]. given #13658 (H,wt=25): 15962 K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,(y \ K(u,w)) * x). [para(8077(a,1),15832(a,1,1))]. given #13659 (H,wt=25): 15963 K(x,(y \ K(z,u)) * w) * K(x,K(y,w)) = K(x,w * (y \ K(z,u))). [para(8077(a,1),15833(a,1,2))]. given #13660 (H,wt=25): 15966 K(x,K(y,z * (u * (T(w,v5) * v6)))) = K(x,K(y,z * (u * (v6 * w)))). [hyper(62,a,15884,a,b,15885,a)]. given #13661 (H,wt=25): 15967 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,T(L(T(y,w),v6,v7),v5)). [hyper(286,a,7777,a(flip),b,15961,a),flip(a)]. given #13662 (H,wt=25): 15968 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,L(T(T(y,w),v5),v6,v7)). [para(25(a,2),15967(a,2,2))]. given #13663 (H,wt=23): 15969 K(x,L(T(T(y,T(z,u)),w),v5,v6)) = K(x,L(T(T(y,z),w),v5,v6)). [para(1092(a,2),15968(a,1,2,1,1,2))]. given #13664 (H,wt=26): 15742 K(L(x \ y,x,K(z,u)),T(w,x)) = K((K(z,u) * y) / (K(z,u) * x),w). [hyper(8346,a,15737,a),flip(a)]. given #13665 (H,wt=24): 15970 K(L(x / y,y,K(z,u)),w) = K((K(z,u) * x) / (K(z,u) * y),w). [hyper(8264,a,15742,a)]. given #13666 (H,wt=26): 15772 K((x / T(y,z)) / u,T(w,y \ x)) != v5 | K(u \ (x / T(y,z)),w) = v5. [para(15748(a,1),14977(a,1))]. given #13667 (H,wt=26): 15774 K((x * T(y,z)) * u,T(w,x * y)) != v5 | K(u * (x * T(y,z)),w) = v5. [para(15749(a,1),12095(a,1))]. given #13668 (H,wt=26): 15790 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(15760(a,2),8268(a,1))]. given #13669 (H,wt=26): 15862 T(T(x,K(y,z)),(K(u,w) * z) * y) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(15858(a,1),12137(a,1,1))]. given #13670 (H,wt=26): 15867 (x * T(y,z)) * K(u,K(x * y,w)) != v5 | T(x * T(y,z),K(u,w)) = v5. [para(15845(a,1),8064(a,1,2))]. given #13671 (H,wt=26): 15933 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(62,a,14593,a(flip),b,15868,a)]. given #13672 (H,wt=26): 15956 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15953(a,1),15208(a,1))]. given #13673 (H,wt=26): 15958 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(15954(a,2),15898(a,1))]. given #13674 (H,wt=26): 15971 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4768(a,1),15958(a,1,2,2,2,2))]. given #13675 (H,wt=27): 15784 K((x * (K(y,z) * u)) \ w,T(v5,x * u)) = K(w / (x * (K(y,z) * u)),v5). [hyper(8250,a,15750,a),flip(a)]. given #13676 (H,wt=27): 15854 K((T(x,y) * z) * u,w) * K(u,K(w,x * z)) = K(u * (T(x,y) * z),w). [para(15804(a,1),12156(a,1,2))]. given #13677 (H,wt=27): 15857 K(x,y * (T(z,u) \ w)) * K(x,K(y,z \ w)) = K(x,(T(z,u) \ w) * y). [para(15819(a,1),12192(a,1,2))]. given #13678 (H,wt=27): 15869 K(x,K(y,z * u)) * K(y * (u * T(z,w)),x) = K((u * T(z,w)) * y,x). [para(15853(a,1),15250(a,1,1))]. given #13679 (H,wt=27): 15891 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,11813,a(flip),b,15852,a),flip(a)]. given #13680 (H,wt=23): 15977 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(286,a,15926,a(flip),b,15891,a),flip(a)]. given #13681 (H,wt=20): 15979 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(286,a,10610,a(flip),b,15977,a),flip(a)]. given #13682 (H,wt=16): 15980 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15850,a,15979,a)]. given #13683 (H,wt=27): 15911 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15910(a,1),15322(a,1,1))]. given #13684 (H,wt=19): 15982 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15336,a,15911,a),flip(a)]. given #13685 (H,wt=21): 15983 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6605(a,1),15982(a,1,2,2,1))]. given #13686 (H,wt=21): 15984 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8480,a,15983,a)]. given #13687 (H,wt=23): 15986 K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). [para(110(a,1),15984(a,1,2,2,2,2))]. given #13688 (H,wt=26): 15985 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(286,a,9533,a(flip),b,15984,a),flip(a)]. given #13689 (H,wt=27): 15919 T((x \ 1) * K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). [hyper(13786,a,15914,a(flip)),flip(a)]. given #13690 (H,wt=25): 15988 T(x \ K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). [para(13512(a,1),15919(a,1,1))]. given #13691 (H,wt=27): 15943 K(x,K(y,z * u)) * K(y,(u * (z * x)) / x) = K(y,x \ (u * (z * x))). [para(15940(a,1),8726(a,1,1))]. given #13692 (H,wt=27): 15975 K(x,y * (T(z,u) \ w)) * K(x,K(y,w / z)) = K(x,(T(z,u) \ w) * y). [para(14992(a,1),15857(a,1,2))]. given #13693 (H,wt=27): 15976 K(x,K(y,z * u)) * K(y * (z * T(u,w)),x) = K((z * T(u,w)) * y,x). [para(15028(a,1),15869(a,1,1))]. given #13694 (H,wt=27): 15987 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15984(a,1),4834(a,1,1)),flip(a)]. given #13695 (H,wt=27): 15989 K(x,K(y,z * u)) * K((z * T(u,w)) * y,x) = K(y * (z * T(u,w)),x). [hyper(8102,a,15976,a)]. given #13696 (H,wt=28): 15788 K(x * (y * K(z,u)),T(w,y * K(v5,v6))) != v7 | K((y * K(z,u)) * x,w) = v7. [para(15758(a,1),14969(a,1))]. given #13697 (H,wt=28): 15944 K(x,K(y,z * (u * (w * T(v5,v6))))) != v7 | K(x,K(y,z * (u * (w * v5)))) = v7. [para(7483(a,1),15938(a,1,2,2,2))]. given #13698 (H,wt=28): 15964 K(x * (K(y,z) * u),w) != v5 * K(u,K(x,w)) | K((K(y,z) * u) * x,w) = v5. [para(15840(a,1),43(a,1))]. given #13699 (H,wt=28): 15991 K(x,K(y,z * (u * (T(w,v5) * v6)))) != v7 | K(x,K(y,z * (u * (v6 * w)))) = v7. [para(15884(a,1),15944(a,1))]. given #13700 (H,wt=29): 15724 K(x,L((y * (z * u)) / (y * u),w,v5)) = (u * y) \ ((u * K(x,L(z,w,v5))) * y). [para(11780(a,1),15546(a,2,2,1,2))]. given #13701 (H,wt=29): 15725 K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = K(x,(y * ((u \ z) * w)) / (y * w)). [hyper(286,a,15542,a,b,15549,a),flip(a)]. given #13702 (H,wt=29): 15766 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y)). [hyper(62,a,14478,a,b,15740,a)]. given #13703 (H,wt=27): 15994 K((K(x,y) * z) / u,T(w,z)) = K(((u \ 1) * u) / ((z \ K(y,x)) * u),w). [hyper(286,a,13606,a(flip),b,15766,a)]. given #13704 (H,wt=29): 15822 K(x,K(y,z)) * K(x,y * (K(u,w) \ (z \ 1))) = K(x,(K(u,w) \ (z \ 1)) * y). [para(15803(a,1),12193(a,1,1))]. given #13705 (H,wt=29): 15863 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(15858(a,1),14707(a,1,2,1,2))]. given #13706 (H,wt=25): 15996 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(15858(a,1),15863(a,1,2)),flip(a)]. given #13707 (H,wt=19): 15997 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(286,a,14707,a(flip),b,15996,a),flip(a)]. given #13708 (H,wt=19): 16000 T(x,y * K(z,K(u,w) * v5)) = T(x,K(v5,z) * y). [hyper(15294,a,15997,a)]. given #13709 (H,wt=21): 16001 T(x,T(y,K(z,u) * w) * v5) = T(x,K(w,y) * (y * v5)). [hyper(62,a,14717,a(flip),b,15997,a)]. given #13710 (H,wt=19): 16004 T(x,T(y,K(z,u) * w) * v5) = T(x,T(y,w) * v5). [hyper(286,a,14717,a(flip),b,16001,a),flip(a)]. given #13711 (H,wt=21): 16002 K(x,y * K(z,K(u,w) * v5)) = x \ T(x,K(v5,z) * y). [hyper(115,a,16000,a(flip),b,4659,a(flip)),flip(a)]. given #13712 (H,wt=21): 16003 K(x * K(y,K(z,u) * w),v5) = v5 / T(v5,K(w,y) * x). [para(16000(a,1),4617(a,2,2))]. given #13713 (H,wt=19): 16007 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(286,a,4617,a,b,16003,a),flip(a)]. given #13714 (H,wt=15): 16010 K(K(x,y) * z,u) = K(z * K(y,x),u). [para(5903(a,1),16007(a,1,1,2)),flip(a)]. given #13715 (H,wt=15): 16011 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(286,a,15067,a,b,16010,a)]. given #13716 (H,wt=17): 16014 K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). [hyper(286,a,15434,a(flip),b,16010,a),flip(a)]. given #13717 (H,wt=17): 16015 K(x * K(y,y * z),u) = K(K(z,y) * x,u). [hyper(62,a,13190,a(flip),b,16010,a),flip(a)]. given #13718 (H,wt=17): 16016 K(x * K(y \ z,y),u) = K(K(y,z) * x,u). [hyper(62,a,13161,a(flip),b,16010,a),flip(a)]. given #13719 (H,wt=17): 16027 K(K(x * y,y) * z,u) = K(K(y,x) * z,u). [hyper(15500,a,16011,a)]. given #13720 (H,wt=17): 16029 K(K(x,y) * z,u \ 1) = K(z \ K(x,y),u). [hyper(6971,a,16011,a),flip(a)]. given #13721 (H,wt=17): 16030 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [para(5741(a,1),16011(a,1,1)),flip(a)]. given #13722 (H,wt=17): 16042 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(62,a,14808,a,b,16030,a)]. given #13723 (H,wt=17): 16043 K(T(x \ y,x) \ z,u) = K((y / x) \ z,u). [para(6001(a,1),16030(a,1,1)),flip(a)]. given #13724 (H,wt=17): 16045 K(T(x \ y,y) \ z,u) = K((y / x) \ z,u). [hyper(62,a,13193,a,b,16043,a)]. given #13725 (H,wt=17): 16046 K((x / (x / y)) \ z,u) = K(T(y,x) \ z,u). [para(76(a,1),16045(a,1,1,1,1)),flip(a)]. given #13726 (H,wt=16): 16047 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(16046(a,1),7507(a,1))]. given #13727 (H,wt=18): 16024 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(16010(a,1),15093(a,1))]. given #13728 (H,wt=18): 16025 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16010(a,2),15094(a,1))]. given #13729 (H,wt=18): 16033 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(16011(a,1),15093(a,1))]. given #13730 (H,wt=18): 16036 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(16014(a,1),15414(a,1))]. given #13731 (H,wt=19): 16009 K(K(x,K(y,z) * u) * w,v5) = K(K(u,x) * w,v5). [hyper(15094,a,16007,a)]. given #13732 (H,wt=19): 16012 K((x * K(y,z)) \ 1,u) = K(K(z,y) * x,u \ 1). [hyper(286,a,6458,a,b,16010,a)]. given #13733 (H,wt=19): 16013 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [hyper(286,a,16007,a(flip),b,16010,a),flip(a)]. given #13734 (H,wt=19): 16017 K(K(x,y) * (y * z),u) = K(y * (z * K(y,x)),u). [para(7648(a,1),16010(a,2,1))]. given #13735 (H,wt=19): 16018 K(K(x,T(y,z)) * u,w) = K(u * K(y,T(x,z)),w). [para(7777(a,1),16010(a,1,1,1))]. given #13736 (H,wt=19): 16019 K(((x * y) * z) * K(x,y),u) = K((y * x) * z,u). [para(11376(a,1),16010(a,1,1)),flip(a)]. given #13737 (H,wt=19): 16028 K(K(x \ y,x) * (y \ z),u) = K(T(y,x) \ z,u). [hyper(13159,a,16011,a),flip(a)]. given #13738 (H,wt=17): 16058 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(11439(a,1),16028(a,1,1))]. given #13739 (H,wt=19): 16038 K(x \ K(y,z \ 1),u) = K(K(y,z) * x,u \ 1). [hyper(14807,a,16029,a),flip(a)]. given #13740 (H,wt=17): 16062 K(x \ K(y,z \ 1),u) = K(x \ K(y,z),u). [hyper(286,a,16029,a(flip),b,16038,a),flip(a)]. given #13741 (H,wt=19): 16044 K(T(x,y) \ z,T(u,x)) = K(z * T(x \ 1,y),u). [hyper(62,a,15273,a(flip),b,16042,a),flip(a)]. given #13742 (H,wt=17): 16063 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(15134,a,16044,a),flip(a)]. given #13743 (H,wt=17): 16064 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [para(4893(a,1),16063(a,1,1,2,1)),flip(a)]. given #13744 (H,wt=19): 16048 K(x * K(K(y,z) * u,w),v5) = K(K(u,w) * x,v5). [hyper(16024,a,16007,a)]. given #13745 (H,wt=19): 16051 K(K(K(x,y) * z,u) * w,v5) = K(K(u,z) * w,v5). [para(5846(a,1),16009(a,1,1,1,2)),flip(a)]. given #13746 (H,wt=19): 16053 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(15479,a,16013,a)]. given #13747 (H,wt=19): 16056 K(x * (K(y,x) * z),u) = K(x * (z * K(x,y)),u). [para(5885(a,1),16017(a,1,1))]. given #13748 (H,wt=17): 16070 K(x * (K(y,x) * z),u) = K(T(x,y) * z,u). [hyper(286,a,15121,a(flip),b,16056,a),flip(a)]. given #13749 (H,wt=17): 16071 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(62,a,13167,a,b,16070,a)]. given #13750 (H,wt=17): 16072 K(((x * y) / x) * z,u) = K(T(y,x) * z,u). [para(6011(a,2),16070(a,1,1))]. given #13751 (H,wt=17): 16073 K(T(x \ y,x) * z,u) = K((y / x) * z,u). [para(6042(a,1),16070(a,1,1)),flip(a)]. given #13752 (H,wt=17): 16077 K(T(x \ y,y) * z,u) = K((y / x) * z,u). [hyper(62,a,13166,a,b,16073,a)]. given #13753 (H,wt=19): 16059 K(T(x,y) \ z,T(u,x)) = K(z / (y * (x / y)),u). [hyper(15452,a,16058,a),flip(a)]. given #13754 (H,wt=17): 16078 K(x / (y * (z / y)),u) = K(x / T(z,y),u). [hyper(15134,a,16059,a),flip(a)]. given #13755 (H,wt=19): 16060 K(T(x,y) \ z,u \ 1) = K(z \ (y * (x / y)),u). [hyper(6802,a,16058,a),flip(a)]. given #13756 (H,wt=17): 16080 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [hyper(6802,a,16060,a),flip(a)]. given #13757 (H,wt=13): 16082 K(x \ T(y,x),z) = K(y / x,z). [hyper(7510,a,16080,a),flip(a)]. given #13758 (H,wt=20): 16026 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(16010(a,2),15481(a,1))]. given #13759 (H,wt=20): 16031 K(K(x,y) * z,u \ 1) != w | K(z \ K(x,y),u) = w. [para(16011(a,1),6971(a,1))]. given #13760 (H,wt=20): 16049 K(K(x * y,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(13191(a,2),16025(a,1))]. given #13761 (H,wt=20): 16079 K(x / (y * (z / y)),u) != w | K(x / T(z,y),u) = w. [para(16059(a,1),15134(a,1))]. given #13762 (H,wt=20): 16081 K(x \ (y * (z / y)),u) != w | K(x \ T(z,y),u) = w. [para(16060(a,1),6802(a,1))]. given #13763 (H,wt=21): 16023 a(K(x,y),z,K(u,w) * v5) = a(x,z,K(v5 * K(w,u),y)). [para(16010(a,1),14176(a,2,3))]. given #13764 (H,wt=21): 16065 K(x * K(T(y,z) \ u,w),v5) = K(K(y \ u,w) * x,v5). [para(5741(a,1),16048(a,1,1,2,1))]. given #13765 (H,wt=22): 15998 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(15996(a,2),15314(a,1))]. given #13766 (H,wt=22): 16006 K(x,y * K(z,K(u,w) * v5)) != v6 | K(x,K(v5,z) * y) = v6. [para(16002(a,2),4728(a,1))]. given #13767 (H,wt=19): 16087 K(x,K(K(y,z) * u,w) * v5) = K(x,K(u,w) * v5). [hyper(16006,a,15218,a(flip)),flip(a)]. given #13768 (H,wt=19): 16090 K(x,K(y \ K(z,u),w) * v5) = K(x,K(y,w) * v5). [hyper(14798,a,16087,a)]. given #13769 (H,wt=19): 16092 K(x,K(y,z \ K(u,w)) * v5) = K(x,K(z,y) * v5). [hyper(14721,a,16090,a)]. given #13770 (H,wt=22): 16008 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(16003(a,2),4697(a,1))]. given #13771 (H,wt=22): 16020 K(K(L(x,y,z),u) * (z * y),w) = K(z * (y * K(u,x)),w). [para(11753(a,1),16010(a,2,1))]. given #13772 (H,wt=22): 16032 K(K(x,y \ z) * u,w) != v5 | K(K(z \ y,x) * u,w) = v5. [para(16011(a,1),14814(a,1))]. given #13773 (H,wt=22): 16050 K(K(x \ y,z) * u,w) != v5 | K(K(z,y \ x) * u,w) = v5. [para(14809(a,1),16025(a,1))]. given #13774 (H,wt=22): 16067 K(K(K(x,y) * z,u) * w,v5) != v6 | K(K(z,u) * w,v5) = v6. [para(16051(a,2),16025(a,1))]. given #13775 (H,wt=22): 16086 T(x,K(y / z,u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(4699(a,1),15998(a,1,2,1,1))]. given #13776 (H,wt=22): 16088 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(15066(a,2),16006(a,1))]. given #13777 (H,wt=20): 16098 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. [para(1092(a,2),16088(a,1,2,1,2))]. given #13778 (H,wt=17): 16104 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(16098,a,xx),flip(a)]. given #13779 (H,wt=19): 16103 K(x,K(y,z / (z * u)) * w) = K(x,K(u,y) * w). [hyper(16098,a,14818,a(flip)),flip(a)]. given #13780 (H,wt=19): 16105 K(x,K(y * z,u) * w) = K(x,K(u,z * y) * w). [para(12070(a,1),16104(a,1,2,1)),flip(a)]. given #13781 (H,wt=19): 16107 K(x,K(y,(z * u) \ u) * w) = K(x,K(z,y) * w). [para(8333(a,2),16103(a,1,2,1))]. given #13782 (H,wt=19): 16108 K(x,K(y,z * u) * w) = K(x,K(y,u * z) * w). [hyper(14721,a,16105,a)]. given #13783 (H,wt=19): 16109 K(x,K(y,z * K(u,w)) * v5) = K(x,K(z,y) * v5). [hyper(62,a,16087,a(flip),b,16105,a),flip(a)]. given #13784 (H,wt=21): 16102 K(x,T(K(y,T(z,u)) * w,v5)) = K(T(x,v5),K(z,y) * w). [hyper(16098,a,7777,a),flip(a)]. given #13785 (H,wt=21): 16111 K(x,K(y,y * z) * (z \ u)) = K(x,T(z,y * z) \ u). [hyper(62,a,13133,a(flip),b,16107,a),flip(a)]. given #13786 (H,wt=21): 16112 K(x,K(y * T(z,u),w) * v5) = K(x,K(w,y * z) * v5). [para(6610(a,1),16109(a,1,2,1,2)),flip(a)]. given #13787 (H,wt=21): 16115 K(x,T(K(y,T(z,u)) * w,v5)) = K(x,T(K(z,y) * w,v5)). [hyper(286,a,7777,a(flip),b,16102,a),flip(a)]. given #13788 (H,wt=21): 16116 K(x,K(y,z * T(u,w)) * v5) = K(x,K(y,z * u) * v5). [hyper(14721,a,16112,a)]. given #13789 (H,wt=21): 16117 K(x,T(y * K(z,T(u,w)),v5)) = K(x,T(K(u,z) * y,v5)). [hyper(15301,a,16115,a)]. given #13790 (H,wt=22): 16089 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. [para(15218(a,2),16006(a,1))]. given #13791 (H,wt=22): 16097 K(K(x * K(y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(7844(a,1),16067(a,1,1,1,1))]. given #13792 (H,wt=22): 16099 K(x,K(y,z * u) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(4605(a,1),16088(a,1,2,1,2))]. given #13793 (H,wt=22): 16100 K(x,K(y,z * K(u,w)) * v5) != v6 | K(x,K(z,y) * v5) = v6. [para(7844(a,1),16088(a,1,2,1,2))]. given #13794 (H,wt=22): 16110 K(x,K(y,z * u) * w) != v5 | K(x,K(y,u * z) * w) = v5. [para(16105(a,1),14721(a,1))]. given #13795 (H,wt=22): 16118 K(x,K(y / z,u) * w) != v5 | K(x,K(z \ y,u) * w) = v5. [para(4699(a,1),16089(a,1,2,1,1))]. given #13796 (H,wt=23): 16005 T(x,y / T(K(z,u) * w,y)) = T(x,T(y,w) * (w \ K(u,z))). [hyper(62,a,13831,a,b,16004,a)]. given #13797 (H,wt=21): 16125 T(x,T(y,z) * (z \ K(u,w))) = T(x,(K(w,u) * z) \ y). [hyper(62,a,13105,a(flip),b,16005,a),flip(a)]. given #13798 (H,wt=23): 16052 K(K((x / y) * z,u) * w,v5) = K(K(u,(y \ x) * z) * w,v5). [para(6188(a,1),16009(a,1,1,1,2)),flip(a)]. given #13799 (H,wt=23): 16054 K(K((x \ y) * z,u) * w,v5) = K(K((y / x) * z,u) * w,v5). [para(6020(a,1),16013(a,1,1,1,1)),flip(a)]. given #13800 (H,wt=23): 16074 K(x * (y * (z / y)),u) = K(T(z,y) * x,u) * K(z,K(x,u)). [para(16071(a,1),15045(a,1,1)),flip(a)]. given #13801 (H,wt=17): 16129 K(x * (y * (z / y)),u) = K(x * T(z,y),u). [hyper(286,a,15020,a(flip),b,16074,a),flip(a)]. given #13802 (H,wt=23): 16095 K(K(x * (y * K(z,u)),w) * v5,v6) = K(K(w,x * y) * v5,v6). [para(16020(a,1),16051(a,1,1,1))]. given #13803 (H,wt=23): 16113 K(x,K(y,z * (u * K(w,v5))) * v6) = K(x,K(z * u,y) * v6). [para(11753(a,1),16109(a,1,2,1,2))]. given #13804 (H,wt=23): 16126 K(K(x,(y \ z) * u) * w,v5) = K(w * K(x,(z / y) * u),v5). [hyper(16033,a,16052,a),flip(a)]. given #13805 (H,wt=23): 16127 K(K(x,(y \ z) * u) * w,v5) = K(K(x,(z / y) * u) * w,v5). [hyper(16025,a,16052,a),flip(a)]. given #13806 (H,wt=23): 16132 K(x * K(y,(z \ u) * w),v5) = K(x * K(y,(u / z) * w),v5). [hyper(15093,a,16126,a)]. given #13807 (H,wt=24): 16083 K(x / y,L(T(z,u * y),y,u)) = K((u * T(x,y)) / (u * y),z). [hyper(11794,a,16082,a),flip(a)]. given #13808 (H,wt=24): 16084 K(x / y,L(T(z,u),y,y \ u)) = K(((u / y) * T(x,y)) / u,z). [hyper(62,a,11789,a(flip),b,16082,a),flip(a)]. given #13809 (H,wt=24): 16085 a(x,y,K(z * K(u,w),v5)) != v6 | a(x,y,K(K(w,u) * z,v5)) = v6. [para(16023(a,1),14237(a,1))]. given #13810 (H,wt=25): 16035 T(x,a(y,z,K(u,T(w,v5)) * v6)) = x * a(x,z,K(v6 * K(w,u),y)). [para(16014(a,1),14206(a,1,2,3)),flip(a)]. given #13811 (H,wt=25): 16057 K((K(x,y) * z) * K(y,T(u,x)),w) = K(T(T(y,x),u) \ (y * z),w). [para(5891(a,1),16018(a,1,1)),flip(a)]. given #13812 (H,wt=25): 16066 K(K((T(x,y) \ z) * u,w) * v5,v6) = K(K(w,(x \ z) * u) * v5,v6). [para(14599(a,1),16051(a,1,1,1,1))]. given #13813 (H,wt=25): 16091 K(x,K(y,z) * (u * (y \ K(w,v5)))) = K(x,u * T(y \ K(w,v5),z)). [hyper(15159,a,16090,a),flip(a)]. given #13814 (H,wt=25): 16122 K(x,K(y \ z,(z / y) \ u) * (u \ w)) = K(x,T(u,z / y) \ w). [hyper(16118,a,13133,a)]. given #13815 (H,wt=25): 16130 K(K(x,y * (z * T(u,w))) * v5,v6) = K(K(y * (z * u),x) * v5,v6). [para(6610(a,1),16095(a,1,1,1,1,2)),flip(a)]. given #13816 (H,wt=25): 16131 K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K(w,x * (y \ u)) * v5,v6). [para(8024(a,1),16095(a,1,1,1,1,2))]. given #13817 (H,wt=25): 16134 K(K(x,y) * (z * K(y,T(u,x))),w) = K(T(T(y,x),u) \ (y * z),w). [para(8005(a,1),16057(a,1,1))]. given #13818 (H,wt=23): 16135 K(T(T(x,y),z) \ (x * u),w) = K(K(y,x) * (u * K(x,z)),w). [hyper(62,a,15449,a(flip),b,16134,a),flip(a)]. given #13819 (H,wt=23): 16137 K((T(T(x,y),z) \ x) * u,w) = K(K(y,x) * (u * K(x,z)),w). [para(14603(a,1),16135(a,1,1))]. given #13820 (H,wt=26): 16069 K(K(x,L(y,z,u)) * (z * u),w) = K((K(x * K(v5,v6),y) * z) * u,w). [para(14399(a,1),16053(a,1,1)),flip(a)]. given #13821 (H,wt=26): 16096 K(K((x / y) * z,u) * w,v5) != v6 | K(K((y \ x) * z,u) * w,v5) = v6. [para(6020(a,1),16067(a,1,1,1,1))]. given #13822 (H,wt=26): 16101 K(x,K(y,z * (u * K(w,v5))) * v6) != v7 | K(x,K(z * u,y) * v6) = v7. [para(15219(a,1),16088(a,1,2,1))]. given #13823 (H,wt=26): 16133 T(x,a(y,z,K(u,T(w,v5)) * v6)) != v7 | T(x,a(y,z,v6 * K(w,u))) = v7. [para(16035(a,2),14208(a,1))]. given #13824 (H,wt=27): 16037 K(K(x * (y * z),L(z,y,x)) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(92(a,1),16027(a,1,1,1,1))]. given #13825 (H,wt=27): 16041 K(x,y) * a(x,z,K(u \ K(w,v5),y)) = K(x,L(y,z,(K(w,v5) * u) \ 1)). [para(16029(a,1),14261(a,1,2,3))]. given #13826 (H,wt=27): 16068 K(K(x,y) * ((y * (x * K(z,u))) * w),v5) = K(((x * K(z,u)) * y) * w,v5). [para(11376(a,1),16053(a,1,1)),flip(a)]. given #13827 (H,wt=27): 16075 K(T(x,y) * z,L(u,z,y \ 1)) != w | K((y * x) * ((y \ 1) * z),u) = w. [para(16072(a,1),13913(a,1))]. given #13828 (H,wt=27): 16121 K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(y * ((u \ 1) \ z),w) * v5). [hyper(16118,a,14790,a)]. given #13829 (H,wt=27): 16128 (x * K(K((y \ z) * u,w) * v5,v6)) \ x = K(v6,K((z / y) * u,w) * v5). [para(16054(a,2),6895(a,1,1,2))]. given #13830 (H,wt=28): 16061 K(x / y,L(T(z,x * (u / y)),x,u / y)) = K(T(u,y) \ (x * (u / y)),z). [hyper(62,a,14485,a,b,16058,a)]. given #13831 (H,wt=28): 16094 K(x,K(y,z) * (u * (y \ K(w,v5)))) != v6 | K(x,u * T(y \ K(w,v5),z)) = v6. [para(16090(a,1),15159(a,1))]. given #13832 (H,wt=28): 16114 K(x,K(y,z) * (u * (y * K(w,v5)))) != v6 | K(x,u * T(y * K(w,v5),z)) = v6. [para(16109(a,1),15341(a,1))]. given #13833 (H,wt=28): 16119 K(x,K((T(y,z) \ u) * w,v5) * v6) != v7 | K(x,K((y \ u) * w,v5) * v6) = v7. [para(14599(a,1),16089(a,1,2,1,1))]. given #13834 (H,wt=29): 15893 K(x * (y \ T(z,u)),w) * K(x,K(w,y \ T(z,v5))) = K((y \ T(z,u)) * x,w). [para(15865(a,1),12159(a,1,2))]. given #13835 (H,wt=29): 15974 K((T(x,y) * z) * u,w) * K(u,K(w,T(x,v5) * z)) = K(u * (T(x,y) * z),w). [para(15804(a,2),15854(a,1,2))]. given #13836 (H,wt=29): 15992 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(y * (R(z,w,v5) * u)) / (y * u)). [hyper(286,a,15550,a,b,15724,a),flip(a)]. given #13837 (H,wt=29): 15995 K(x,K(y,z)) * K(x,y * (K(u,w) * (z \ 1))) = K(x,(K(w,u) \ (z \ 1)) * y). [para(5839(a,1),15822(a,1,2,2,2))]. given #13838 (H,wt=29): 16021 K(K(x * K(y,z),(K(z,y) * x) \ u) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(16010(a,1),13161(a,1,1,1))]. given #13839 (H,wt=29): 16040 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u \ 1),w). [hyper(62,a,13871,a,b,16029,a)]. given #13840 (H,wt=27): 16141 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u),w). [hyper(286,a,16062,a(flip),b,16040,a),flip(a)]. given #13841 (H,wt=21): 16142 K(x \ K(y,z \ (u \ 1)),w) = K(x \ K(u * z,y),w). [para(13993(a,1),16141(a,1,1,2))]. given #13842 (H,wt=29): 16120 K((K(x * K(y,z),u) * w) * v5,v6) != v7 | K(K(x,L(u,w,v5)) * (w * v5),v6) = v7. [para(14399(a,1),16097(a,1,1))]. given #13843 (H,wt=29): 16138 K((T(x,y) * z) * u,w) * K(T(x,v5) * z,K(u,w)) = K(u * (T(x,y) * z),w). [para(8060(a,1),15974(a,1,2))]. given #13844 (H,wt=29): 16139 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(y * u) / (y * (R(z,w,v5) \ u))). [hyper(286,a,11926,a(flip),b,15992,a),flip(a)]. given #13845 (H,wt=30): 14997 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(62,a,11875,a,b,14992,a)]. given #13846 (H,wt=24): 16143 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(286,a,15841,a(flip),b,14997,a),flip(a)]. given #13847 (H,wt=24): 16144 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15006,a,16143,a)]. given #13848 (H,wt=23): 16146 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(62,a,14391,a(flip),b,16144,a),flip(a)]. given #13849 (H,wt=23): 16147 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(8109,a,16146,a)]. given #13850 (H,wt=19): 16148 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(15310,a,16147,a),flip(a)]. given #13851 (H,wt=19): 16149 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(76(a,1),16148(a,1,2,2,1,2))]. given #13852 (H,wt=17): 16150 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(62,a,11102,a(flip),b,16149,a),flip(a)]. given #13853 (H,wt=17): 16151 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(62,a,15855,a(flip),b,16150,a),flip(a)]. given #13854 (H,wt=17): 16153 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(8058,a,16151,a)]. given #13855 (H,wt=17): 16154 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(286,a,8056,a,b,16153,a),flip(a)]. given #13856 (H,wt=27): 16152 K(x,K(y,z * x)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(16150(a,1),15287(a,1,1))]. given #13857 (H,wt=25): 16156 K(x,K(y,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). [para(8694(a,1),16152(a,1,1))]. given #13858 (H,wt=25): 16157 K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). [para(4788(a,1),16156(a,1,2))]. given #13859 (H,wt=27): 16155 K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(16154(a,1),15286(a,1,1))]. given #13860 (H,wt=25): 16158 K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(8678(a,1),16155(a,1,1))]. given #13861 (H,wt=25): 16159 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). [para(8077(a,1),16158(a,1,1))]. given #13862 (H,wt=30): 15490 K(L(K(x,y) * z,K(y,x),u),T(w,K(y,x) * u)) = K((u * z) / (u * K(y,x)),w). [para(5839(a,1),14965(a,1,1,1))]. given #13863 (H,wt=26): 16160 K(L(K(x,y) * z,K(y,x),u),T(w,u)) = K((u * z) / (u * K(y,x)),w). [hyper(15738,a,15490,a)]. given #13864 (H,wt=30): 15501 K(K(x \ ((y \ 1) * z),u) * w,v5) != v6 | K(K(x * ((z \ 1) * y),u) * w,v5) = v6. [para(14813(a,2),15479(a,1))]. given #13865 (H,wt=30): 15567 x \ T(y * T(x,K(z,u * w)),K(z,w * u)) != v5 | T(y,K(u * w,z) * x) = v5. [para(15146(a,1),15314(a,1,2))]. given #13866 (H,wt=30): 15638 K(x,x \ (y / z)) * K((x \ (z \ y)) * x,T(x,z)) = x \ R(x,x \ (z \ y),x). [para(15637(a,1),13013(a,1,2))]. given #13867 (H,wt=28): 16162 K(x,x \ (y / z)) * K(z \ y,T(T(x,z),x)) = x \ R(x,x \ (z \ y),x). [para(12099(a,1),15638(a,1,2))]. given #13868 (H,wt=26): 16163 x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(y \ z,T(x,y)). [para(165(a,1),16162(a,1,2,2)),flip(a)]. given #13869 (H,wt=24): 16164 x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(z / y,x). [para(8165(a,1),16163(a,2,2))]. given #13870 (H,wt=19): 16165 x \ R(x,x \ (y \ z),x) = a(x,x \ (z / y),x). [hyper(286,a,9196,a(flip),b,16164,a),flip(a)]. given #13871 (H,wt=17): 16166 a(x,x \ (y \ z),x) = a(x,x \ (z / y),x). [hyper(9189,a,16165,a)]. given #13872 (H,wt=22): 16167 a(x,x \ R(y \ 1,y,z),x) = a(x,x \ ((y * z) \ z),x). [para(4900(a,2),16166(a,2,2,2)),flip(a)]. given #13873 (H,wt=22): 16168 a(x,x \ (y \ z),x) * K(x,z / y) = K(x,x \ (z / y)). [para(16166(a,2),9214(a,1,1))]. given #13874 (H,wt=30): 15756 K(L(x * K(y,x),y,K(z,u)),T(w,y)) = K((y * K(z,u)) \ ((y * x) * K(z,u)),w). [hyper(14368,a,15739,a),flip(a)]. given #13875 (H,wt=30): 15921 T(R(x,y,y \ K(z,u)),K(w,v5)) * K(z,u) = T((x * y) * (y \ K(z,u)),K(w,v5)). [para(323(a,1),15914(a,1,1)),flip(a)]. given #13876 (H,wt=30): 15990 K(x,K(y,z * u)) * K((z * T(u,y * z)) * y,x) = K(L(u,z,y) * (y * z),x). [para(578(a,1),15989(a,2,1))]. given #13877 (H,wt=30): 16022 K(x * K(L(y,z,u \ 1),(w / u) * z),v5) = K(K(w * ((u \ 1) * z),y) * x,v5). [para(13912(a,1),16010(a,1,1,1)),flip(a)]. given #13878 (H,wt=30): 16055 K(K(((x * y) * R(z,x,y)) * u,w) * v5,v6) = K(K(((z * x) * y) * u,w) * v5,v6). [para(11383(a,1),16013(a,1,1,1,1))]. given #13879 (H,wt=30): 16123 K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(y \ ((u \ 1) / z),w) * v5) = v6. [para(14790(a,1),16118(a,1))]. given #13880 (H,wt=30): 16170 R(T(x,K(y,z)),u,u \ K(w,v5)) * K(w,v5) = T((x * u) * (u \ K(w,v5)),K(y,z)). [para(27(a,2),15921(a,1,1))]. given #13881 (H,wt=27): 16172 T((x * y) * (y \ K(z,u)),K(w,v5)) = (T(x,K(w,v5)) * y) * (y \ K(z,u)). [hyper(663,a,16170,a),flip(a)]. given #13882 (H,wt=30): 16171 K(K(x * ((y * z) * R(u,y,z)),w) * v5,v6) = K(K(((u * y) * z) * x,w) * v5,v6). [hyper(15479,a,16055,a)]. given #13883 (H,wt=31): 14976 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(62,a,14445,a,b,14974,a)]. given #13884 (H,wt=31): 15214 K(x,K(K(y,z) * u,(K(y,z) * u) \ w) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). [para(15060(a,1),13133(a,2,2,1))]. given #13885 (H,wt=31): 15277 K(x,(y * (z * u)) / u) * K(x,K(u,(u * z) * y)) = K(x,T(u,z) \ (y * (u * z))). [para(15191(a,1),10637(a,1,2))]. given #13886 (H,wt=29): 16174 K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,T(u,z) \ (y * (u * z))). [para(15304(a,1),15277(a,1,2))]. given #13887 (H,wt=21): 16175 K(x,T(y,z) \ (u * (y * z))) = K(x,y \ (u * (z * y))). [hyper(62,a,10565,a(flip),b,16174,a),flip(a)]. given #13888 (H,wt=29): 16176 K(x,K(y,z * u)) * K(y,(u * (z * x)) / x) = K(y,T(x,z) \ (u * (x * z))). [hyper(286,a,15943,a,b,16175,a)]. given #13889 (H,wt=31): 15631 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(6125(a,1),15517(a,1,1))]. given #13890 (H,wt=25): 16178 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [hyper(286,a,15589,a(flip),b,15631,a),flip(a)]. given #13891 (H,wt=25): 16179 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(4885(a,2),16178(a,1,2,1,1,1))]. given #13892 (H,wt=25): 16180 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [hyper(6901,a,16179,a)]. given #13893 (H,wt=23): 16181 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5964(a,1),16180(a,1,2))]. given #13894 (H,wt=31): 15680 (((x \ 1) / y) * (y * K(z,u))) \ K(w,v5) = ((K(u,z) / y) * ((y \ 1) \ x)) * K(w,v5). [para(15678(a,1),14020(a,1,1)),flip(a)]. given #13895 (H,wt=31): 15690 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(62,a,11571,a,b,15689,a)]. given #13896 (H,wt=31): 15711 T(x \ K(y * x,z \ 1),y \ 1) \ T(x \ 1,T(y \ 1,z)) = K(z,x \ (y \ 1)). [para(13530(a,1),15708(a,1,1,1,2))]. given #13897 (H,wt=31): 15973 (x * K((y * (K(z,u) * w)) \ v5,T(v6,y * w))) \ x = K(v6,v5 / (y * (K(z,u) * w))). [para(15784(a,2),6895(a,1,1,2))]. given #13898 (H,wt=31): 16076 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,y) * a(x,z,K(T(w,u) * v5,y \ 1)). [para(16072(a,1),14261(a,1,2,3)),flip(a)]. given #13899 (H,wt=27): 16186 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,(T(w,u) * v5) \ 1)). [hyper(286,a,14261,a(flip),b,16076,a),flip(a)]. given #13900 (H,wt=27): 16187 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,v5 \ (T(w,u) \ 1))). [hyper(286,a,14339,a(flip),b,16186,a),flip(a)]. given #13901 (H,wt=27): 16188 K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,u \ (T(v5,w) \ 1))). [hyper(62,a,14339,a(flip),b,16187,a)]. given #13902 (H,wt=31): 16173 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6941(a,1),14976(a,1,2,2))]. given #13903 (H,wt=27): 16189 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(7138(a,1),16173(a,1,2)),flip(a)]. given #13904 (H,wt=23): 16190 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(286,a,9,a(flip),b,16189,a),flip(a)]. given #13905 (H,wt=25): 16191 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(6492,a,16190,a),flip(a)]. given #13906 (H,wt=28): 16193 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(16190(a,1),6492(a,1))]. given #13907 (H,wt=31): 16177 K(x,K(y,z * (x * u))) * K(y,(z * (u * x)) / x) = K(y,T(x,u) \ (z * (x * u))). [para(15192(a,2),16176(a,1,1))]. given #13908 (H,wt=31): 16182 (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). [para(7723(a,2),16181(a,1,1,1))]. given #13909 (H,wt=17): 16194 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(33,a,15635,a,b,16182,a),flip(a)]. given #13910 (H,wt=17): 16196 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [hyper(62,a,12155,a,b,16194,a)]. given #13911 (H,wt=19): 16198 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [hyper(62,a,12355,a,b,16196,a)]. given #13912 (H,wt=19): 16200 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [hyper(131,a,16198,a)]. given #13913 (H,wt=17): 16202 K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). [para(16200(a,1),15358(a,1,1))]. given #13914 (H,wt=19): 16201 K(x,K(y,z)) * (u \ K(x,y)) = u \ K(x,T(y,z)). [hyper(15049,a,16200,a)]. given #13915 (H,wt=19): 16204 K(T(x,y) \ K(z,u),w) = K(x \ K(z,u),T(w,y)). [hyper(62,a,15629,a(flip),b,16202,a)]. given #13916 (H,wt=21): 16203 K(x * (y \ K(z,T(u,w))),v5) = K(x * (y \ K(z,u)),v5). [para(16200(a,1),15367(a,1,1,2))]. given #13917 (H,wt=21): 16205 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(16201(a,1),15404(a,1,2,2))]. given #13918 (H,wt=23): 16207 K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(u * z,w)),v5). [para(12085(a,1),16203(a,1,1,2,2))]. given #13919 (H,wt=31): 16184 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7660(a,1),15690(a,1,2,1))]. given #13920 (H,wt=27): 16208 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(15322(a,1),16184(a,1,2,1))]. given #13921 (H,wt=27): 16209 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5865,a,16208,a),flip(a)]. given #13922 (H,wt=27): 16210 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(62,a,15151,a(flip),b,16209,a)]. given #13923 (H,wt=32): 15948 K(x,L(T(T(y,T(z,u)),z * w),T(z,u),w)) = K(x,(w * (y * T(z,u))) / (w * T(z,u))). [hyper(62,a,15548,a(flip),b,15798,a),flip(a)]. given #13924 (H,wt=30): 16211 K(x,L(T(T(y,z),z * u),T(z,w),u)) = K(x,(u * (y * T(z,w))) / (u * T(z,w))). [hyper(62,a,15969,a(flip),b,15948,a)]. given #13925 (H,wt=32): 15972 K(L((K(x,y) * z) \ 1,K(x,y) * z,u),T(w,u * z)) = K(u / (u * (K(x,y) * z)),w). [para(195(a,2),15784(a,1,1))]. given #13926 (H,wt=30): 16214 K(L(x \ K(y,z),K(z,y) * x,u),T(w,u * x)) = K(u / (u * (K(z,y) * x)),w). [para(13570(a,1),15972(a,1,1,1))]. given #13927 (H,wt=30): 16215 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(w / (w * (K(z,y) * x)),u). [hyper(11807,a,16214,a)]. given #13928 (H,wt=30): 16216 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((K(z,y) * x) * w) \ w,u). [hyper(286,a,8464,a,b,16215,a),flip(a)]. given #13929 (H,wt=33): 15246 K(x,K(y * (x * z),T(u,w))) * K(u,(y * (z * x)) / x) = K(u,T(x,z) \ (y * (x * z))). [para(15165(a,1),10636(a,1,1))]. given #13930 (H,wt=33): 15489 K(K(x / T(y,z),u) * ((y \ x) * (y * K(z,y))),w) = K(T(T(x / T(y,z),y),u) * y,w). [para(10000(a,1),15486(a,1,1,2))]. given #13931 (H,wt=33): 15526 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(4820(a,2),15485(a,1,1,1))]. given #13932 (H,wt=33): 15600 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(62,a,14708,a,b,15599,a)]. given #13933 (H,wt=33): 15601 K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,y / T(a(z \ 1,u,u \ 1),w)). [para(717(a,1),15596(a,1,2,2,1)),flip(a)]. given #13934 (H,wt=33): 15763 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(15739(a,1),14368(a,1))]. given #13935 (H,wt=33): 15901 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(844(a,1),15897(a,1,2,2)),flip(a)]. given #13936 (H,wt=33): 15930 K(x * ((T(y,z) * u) * w),v5) * K(x,K(v5,w * (y * u))) = K(((T(y,z) * u) * w) * x,v5). [para(15912(a,1),12158(a,1,2))]. given #13937 (H,wt=33): 16034 K(K(x,T(y,z)) * u,(K(x,T(y,z)) * u) \ w) = K(u * K(y,x),w / (K(x,T(y,z)) * u)). [hyper(62,a,4788,a,b,16014,a)]. given #13938 (H,wt=31): 16221 K(x * K(y,z),(K(z,T(y,u)) * x) \ w) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [hyper(16026,a,16034,a)]. given #13939 (H,wt=33): 16213 K(x,L(T(T(y,z),z * u),T(z,w),u)) != v5 | K(x,(u * T(z,w)) / (u * (y \ T(z,w)))) = v5. [para(16211(a,2),15648(a,1))]. given #13940 (H,wt=33): 16218 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(23(a,1),15600(a,1,2,1,2))]. given #13941 (H,wt=33): 16219 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(286,a,14215,a,b,15901,a),flip(a)]. given #13942 (H,wt=33): 16223 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(8115(a,1),16218(a,1,2))]. given #13943 (H,wt=27): 16225 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(15346(a,1),16223(a,1,2))]. given #13944 (H,wt=27): 16226 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(62,a,10934,a(flip),b,16225,a)]. given #13945 (H,wt=27): 16227 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(15917(a,2),16226(a,1,2))]. given #13946 (H,wt=27): 16228 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(12094(a,1),16227(a,1,2,1))]. given #13947 (H,wt=25): 16229 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13543(a,1),16228(a,1,2))]. given #13948 (H,wt=25): 16230 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5839(a,1),16229(a,1,2))]. given #13949 (H,wt=21): 16231 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8582,a,16230,a)]. given #13950 (H,wt=21): 16232 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(62,a,16210,a(flip),b,16231,a)]. given #13951 (H,wt=21): 16233 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5851,a,16232,a),flip(a)]. given #13952 (H,wt=24): 16234 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(16233(a,2),13895(a,2,2)),flip(a)]. given #13953 (H,wt=15): 16235 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(62,a,13767,a(flip),b,16234,a)]. given #13954 (H,wt=33): 16224 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(14995(a,1),16219(a,2,3))]. given #13955 (H,wt=26): 16236 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15815,a(flip),b,16224,a)]. given #13956 (H,wt=34): 15278 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(u,y * x)) * ((x * K(z,u)) * y). [para(15191(a,1),11630(a,2,1))]. given #13957 (H,wt=34): 15679 K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (K(x,y) / z) * ((z \ 1) \ (v5 * K(w,u))). [para(13591(a,1),15678(a,1,1,2,3,2))]. given #13958 (H,wt=34): 15920 ((x * T(y,K(z,u))) * K(w,v5)) / a(x,T(y,K(z,u)),K(w,v5)) = x * T(y * K(w,v5),K(z,u)). [para(15914(a,2),172(a,2,2))]. given #13959 (H,wt=34): 15951 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(775(a,1),15888(a,2,2,2,1,1))]. given #13960 (H,wt=30): 16238 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),15951(a,1,2,2,1,1)),flip(a)]. given #13961 (H,wt=33): 16239 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(15305,a,16238,a)]. given #13962 (H,wt=33): 16241 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),16239(a,1,2,2,2))]. given #13963 (H,wt=34): 16169 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y \ z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(7030(a,2),16168(a,1,1,2,2))]. given #13964 (H,wt=34): 16195 T(K(x,y) / z,K(K(x,y),u)) != (K(x,T(y,u)) / z) * w | K(u,(K(x,y) / z) / (z \ 1)) = w. [para(16182(a,1),42(a,1))]. given #13965 (H,wt=35): 15498 K(x \ y,L(T(z,u),x,x \ (T(u,w) \ 1))) != v5 | K((((T(u,w) \ 1) / x) * y) * T(u,w),z) = v5. [para(15495(a,1),13761(a,1))]. given #13966 (H,wt=35): 15507 K(x,K(y * z,L(L(y,u,w),z,y))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). [para(15506(a,1),8724(a,1,1))]. given #13967 (H,wt=32): 16242 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(y * z,L(y,u,w))) * K(x,L(y,u,w)). [para(13505(a,1),15507(a,1,1,2)),flip(a)]. given #13968 (H,wt=30): 16243 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(z,L(y,u,w))) * K(x,L(y,u,w)). [para(9286(a,1),16242(a,2,1))]. given #13969 (H,wt=23): 16244 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,T(L(y,u,w),z)). [hyper(286,a,8091,a(flip),b,16243,a),flip(a)]. given #13970 (H,wt=20): 16245 K(x,T(L(L(y,z,u),w,y),w)) = K(x,T(L(y,z,u),w)). [para(668(a,1),16244(a,1,2))]. given #13971 (H,wt=19): 16246 K(x,T(L(y,z,u),y * w)) = K(x,T(L(y,z,u),w)). [para(850(a,1),16245(a,1,2))]. given #13972 (H,wt=19): 16247 K(x,T(L(y,z,u),w / y)) = K(x,T(L(y,z,u),w)). [para(4201(a,1),16246(a,1,2)),flip(a)]. given #13973 (H,wt=19): 16248 K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). [hyper(62,a,8227,a(flip),b,16247,a)]. given #13974 (H,wt=22): 16249 K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). [hyper(62,a,14386,a(flip),b,16248,a),flip(a)]. given #13975 (H,wt=20): 16250 K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). [hyper(62,a,9501,a(flip),b,16249,a),flip(a)]. given #13976 (H,wt=24): 16251 T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). [para(12(a,1),16250(a,1,2,1)),flip(a)]. given #13977 (H,wt=23): 16252 K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). [hyper(62,a,15568,a(flip),b,16251,a),flip(a)]. given #13978 (H,wt=19): 16253 K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). [hyper(286,a,7515,a(flip),b,16252,a),flip(a)]. given #13979 (H,wt=19): 16254 K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). [hyper(62,a,7678,a(flip),b,16253,a)]. given #13980 (H,wt=17): 16255 K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). [hyper(62,a,11328,a(flip),b,16254,a)]. given #13981 (H,wt=15): 16257 K(x,y / (((z / x) / z) * x)) = K(x,y). [hyper(62,a,11331,a(flip),b,16255,a)]. given #13982 (H,wt=15): 16258 K(x,y / (x * ((z / x) / z))) = K(x,y). [hyper(10825,a,16257,a)]. given #13983 (H,wt=22): 16259 L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). [hyper(62,a,14408,a,b,16258,a)]. given #13984 (H,wt=22): 16260 L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). [hyper(14500,a,16259,a)]. given #13985 (H,wt=15): 16261 K(x,y * ((z / x) / z)) = K(x,y / x). [hyper(15578,a,16260,a),flip(a)]. given #13986 (H,wt=35): 15643 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). [hyper(62,a,14076,a,b,15641,a)]. given #13987 (H,wt=33): 16263 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). [hyper(286,a,6149,a(flip),b,15643,a),flip(a)]. given #13988 (H,wt=31): 16264 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). [hyper(286,a,15646,a(flip),b,16263,a),flip(a)]. given #13989 (H,wt=27): 16265 K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). [para(73(a,1),16264(a,1,2,2))]. given #13990 (H,wt=27): 16266 K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). [hyper(62,a,5910,a(flip),b,16265,a)]. given #13991 (H,wt=25): 16268 K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(7986,a,16266,a)]. given #13992 (H,wt=25): 16269 K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(6487,a,16268,a)]. given #13993 (H,wt=23): 16270 K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). [hyper(62,a,15644,a(flip),b,16269,a)]. given #13994 (H,wt=21): 16271 K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). [hyper(6495,a,16270,a)]. given #13995 (H,wt=27): 16272 K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). [hyper(8190,a,16271,a),flip(a)]. given #13996 (H,wt=23): 16274 K(x,T(((y / x) / y) * T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(7507,a,16272,a),flip(a)]. given #13997 (H,wt=26): 16275 K(x,T(((y / x) / y) * T(z,y),y)) != u | K(x,z * ((y / x) / y)) = u. [para(16272(a,1),7507(a,1))]. given #13998 (H,wt=35): 15668 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),R(z,u,u \ 1)) = L(a(z,u,u \ 1),z,K(x,y)). [para(15664(a,2),718(a,1,2))]. given #13999 (H,wt=30): 16277 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = L(a(z,u,u \ 1),z,K(x,y)). [para(14357(a,1),15668(a,1,2))]. given #14000 (H,wt=35): 15706 T(x * K(x * ((y \ z) \ 1),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). [para(6745(a,1),15704(a,1,1))]. given #14001 (H,wt=33): 16279 T(x * K(x / (y \ z),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). [para(13606(a,1),15706(a,1,1,1,2))]. given #14002 (H,wt=31): 16280 T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x * ((y \ z) \ 1)). [para(9956(a,1),16279(a,1,2))]. given #14003 (H,wt=29): 16281 T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x / (y \ z)). [hyper(286,a,13554,a(flip),b,16280,a),flip(a)]. given #14004 (H,wt=35): 15947 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(15946(a,2),10251(a,2,2))]. given #14005 (H,wt=35): 16140 K(x,K(y,z)) * K(x,y * (K(u,L(w,v5,v6)) * (z \ 1))) = K(x,(K(w,L(u,v5,v6)) \ (z \ 1)) * y). [para(11780(a,1),15995(a,1,2,2,2,1))]. given #14006 (H,wt=35): 16220 K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,v6) * u) * w,v5)) = K(((T(y,z) * u) * w) * x,v5). [para(15912(a,2),15930(a,1,2))]. given #14007 (H,wt=35): 16283 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(11741(a,1),15947(a,1,1))]. given #14008 (H,wt=36): 15339 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8202(a,1),15135(a,1,1))]. given #14009 (H,wt=34): 16284 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(13495(a,1),15339(a,1,1))]. given #14010 (H,wt=32): 16285 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6782(a,1),16284(a,1,2))]. given #14011 (H,wt=28): 16286 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(15130(a,1),16285(a,1,2))]. given #14012 (H,wt=21): 16287 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(62,a,14023,a(flip),b,16286,a),flip(a)]. given #14013 (H,wt=36): 15793 K(x,T(L(y,z,z \ (K(u,w) * v5)),v5)) * (v5 \ K(w,u)) = ((v5 \ K(w,u)) / (z \ 1)) * (z \ K(x,y)). [hyper(286,a,14575,a(flip),b,15767,a),flip(a)]. given #14014 (H,wt=36): 16289 K(x,L(T(y,z),u,u \ (K(w,v5) * z))) * (z \ K(v5,w)) = ((z \ K(v5,w)) / (u \ 1)) * (u \ K(x,y)). [para(25(a,2),15793(a,1,1,2))]. given #14015 (H,wt=37): 15321 (x * K(y,K(z,u))) / (K(y,T(z,u)) * w) != v5 | R(x / (K(y,z) * w),K(y,z) * w,K(y,K(z,u))) = v5. [para(15198(a,1),563(a,1,2))]. given #14016 (H,wt=37): 15519 T(T(x,K((y \ 1) \ (y \ z),y)),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). [para(1329(a,1),15319(a,2,2))]. given #14017 (H,wt=37): 15547 (x * y) \ ((x * K(z \ K((y * (u * x)) / (y * x),w),u)) * y) = K(z,((y * (u * x)) / (y * x)) \ 1). [hyper(8520,a,15542,a),flip(a)]. given #14018 (H,wt=27): 16291 K(x,((y * (z * u)) / (y * u)) \ 1) = (u * y) \ ((u * K(x,z \ 1)) * y). [para(9022(a,1),15547(a,1,2,1,2)),flip(a)]. given #14019 (H,wt=27): 16292 K(x,((y * (z * u)) / (y * u)) \ 1) = K(x,(y * ((z \ 1) * u)) / (y * u)). [hyper(286,a,15542,a,b,16291,a),flip(a)]. given #14020 (H,wt=25): 16293 K(x,(y * ((z \ 1) * u)) / (y * u)) = K(x,(y * u) / (y * (z * u))). [hyper(7036,a,16292,a),flip(a)]. given #14021 (H,wt=27): 16294 K(x,(y * ((z \ u) * w)) / (y * w)) = K(x,(y * w) / (y * ((u \ z) * w))). [hyper(62,a,15725,a(flip),b,16293,a)]. given #14022 (H,wt=27): 16295 K(x,(y * z) / (y * ((u \ w) \ z))) = K(x,(y * z) / (y * ((w \ u) * z))). [hyper(15648,a,16294,a)]. given #14023 (H,wt=23): 16296 K(x,(y * z) / (y * ((z \ u) * z))) = K(x,(u * y) \ (z * y)). [hyper(62,a,15683,a(flip),b,16295,a),flip(a)]. given #14024 (H,wt=26): 16297 K(x,(y * z) / (y * ((z \ u) * z))) = R(T(K(x,z / u),z * y),z,y). [hyper(62,a,15541,a(flip),b,16295,a),flip(a)]. given #14025 (H,wt=26): 16298 K(x,(y * z) / (y * ((z \ u) * z))) = R(K(x,T(z / u,z * y)),z,y). [para(7723(a,2),16297(a,2,1))]. given #14026 (H,wt=26): 16299 K(x,(y * z) / (y * ((z \ u) * z))) = K(x,L(T(z / u,z * y),z,y)). [hyper(286,a,14374,a(flip),b,16298,a),flip(a)]. given #14027 (H,wt=22): 16300 K(x,L(T(y / z,y * u),y,u)) = K(x,(z * u) \ (y * u)). [hyper(62,a,16296,a(flip),b,16299,a),flip(a)]. given #14028 (H,wt=28): 16301 K(x,L(T(y / z,y * u),y,T(u,w))) = K(x,(z * T(u,w)) \ (y * T(u,w))). [hyper(62,a,15799,a(flip),b,16300,a)]. given #14029 (H,wt=28): 16302 K(x,L(T(T(y,(z * y) * u),z),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,8589,a(flip),b,16300,a)]. given #14030 (H,wt=28): 16303 K(x,L(T(T(y,z),(z * y) * u),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). [para(23(a,1),16302(a,1,2,1))]. given #14031 (H,wt=37): 15710 T(x \ K(x \ (y / T(z,y)),u),z \ y) \ T(x \ 1,T(y / T(z,y),u)) = K(u,x \ (y / T(z,y))). [para(13105(a,1),15708(a,1,1))]. given #14032 (H,wt=37): 16185 T(x \ K(x \ K(y,z),u),K(y,z) \ 1) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). [para(16029(a,1),15711(a,1,1,1,2))]. given #14033 (H,wt=35): 16304 T(x \ K(x \ K(y,z),u),K(z,y)) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). [para(4781(a,1),16185(a,1,1,2))]. given #14034 (H,wt=33): 16305 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(y,x) \ 1,u)) = K(u,z \ (K(y,x) \ 1)). [para(15988(a,1),16304(a,1,1))]. given #14035 (H,wt=31): 16306 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(x,y),u)) = K(u,z \ (K(y,x) \ 1)). [para(4781(a,1),16305(a,1,2,2,1))]. given #14036 (H,wt=29): 16307 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ (K(y,x) \ 1)). [para(15053(a,1),16306(a,1,2))]. given #14037 (H,wt=27): 16308 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ K(x,y)). [para(4781(a,1),16307(a,2,2,2))]. given #14038 (H,wt=37): 16273 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). [para(3666(a,1),16271(a,2,1))]. given #14039 (H,wt=35): 16310 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). [hyper(15454,a,16273,a)]. given #14040 (H,wt=29): 16312 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). [hyper(62,a,9410,a(flip),b,16310,a),flip(a)]. given #14041 (H,wt=27): 16314 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). [hyper(286,a,8926,a(flip),b,16312,a),flip(a)]. given #14042 (H,wt=25): 16315 K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(8172,a,16314,a)]. given #14043 (H,wt=23): 16316 K(x,T(y * ((z / x) / z),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(62,a,9025,a(flip),b,16315,a)]. given #14044 (H,wt=23): 16317 K(x,T(((y / x) / y) * z,y)) = K(x,((y / x) / y) * T(z,y)). [hyper(62,a,15615,a,b,16316,a)]. given #14045 (H,wt=23): 16318 K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(16275,a,16317,a),flip(a)]. given #14046 (H,wt=33): 16319 K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). [para(3662(a,1),16318(a,2,2))]. given #14047 (H,wt=27): 16320 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). [para(398(a,1),16319(a,1,2))]. given #14048 (H,wt=25): 16321 K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). [hyper(286,a,12081,a(flip),b,16320,a)]. given #14049 (H,wt=23): 16322 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). [hyper(12144,a,16321,a),flip(a)]. given #14050 (H,wt=19): 16324 K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). [hyper(62,a,16261,a(flip),b,16322,a)]. given #14051 (H,wt=19): 16326 K(x,T(T(y,z) / x,z)) = K(x,((z / x) / z) * y). [hyper(62,a,15533,a,b,16324,a)]. given #14052 (H,wt=19): 16327 K(x,T(T(y / x,z),z)) = K(x,((z / x) / z) * y). [hyper(62,a,15723,a,b,16326,a)]. given #14053 (H,wt=15): 16328 K(x,((y / x) / y) * z) = K(x,z / x). [hyper(8223,a,16327,a),flip(a)]. given #14054 (H,wt=19): 16330 K(x / y,z / (x / y)) = K(x / y,(y / x) * z). [hyper(62,a,10837,a(flip),b,16328,a),flip(a)]. given #14055 (H,wt=25): 16332 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). [para(16330(a,1),16157(a,1,2))]. given #14056 (H,wt=19): 16333 K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). [hyper(62,a,16159,a(flip),b,16332,a),flip(a)]. given #14057 (H,wt=21): 16334 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(16333(a,1),9002(a,1,2))]. given #14058 (H,wt=23): 16335 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(62,a,10104,a,b,16334,a)]. given #14059 (H,wt=26): 16323 K(x,T(T(y,z),z) * ((z / x) / z)) != u | K(x,((z / x) / z) * y) = u. [para(16321(a,1),12144(a,1))]. given #14060 (H,wt=37): 16290 T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). [para(8115(a,1),15519(a,1,1))]. given #14061 (H,wt=35): 16336 T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(62,a,15719,a(flip),b,16290,a)]. given #14062 (H,wt=27): 16337 T(T(x,K(y,(y \ 1) \ (y \ z))),y \ z) = T(x,y \ (1 * T(1 \ z,y))). [para(10(a,1),16336(a,1,2))]. given #14063 (H,wt=27): 16338 T(T(x,y \ z),K(y,(y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(5979,a,16337,a)]. given #14064 (H,wt=19): 16340 T(x,y \ (1 * T(1 \ z,y))) = T(x,T(y \ z,y)). [hyper(12203,a,16338,a),flip(a)]. given #14065 (H,wt=17): 16341 T(x,y \ (1 * T(1 \ z,y))) = T(x,z / y). [hyper(286,a,8318,a(flip),b,16340,a),flip(a)]. given #14066 (H,wt=15): 16342 T(x,y \ (1 * T(z,y))) = T(x,z / y). [para(64(a,1),16341(a,1,2,2,2,1))]. given #14067 (H,wt=13): 16343 T(x,y \ T(z,y)) = T(x,z / y). [para(7(a,1),16342(a,1,2,2))]. given #14068 (H,wt=13): 16344 T(x,T(y,z) \ z) = T(x,z / y). [hyper(62,a,15288,a,b,16343,a)]. given #14069 (H,wt=15): 16345 T(x,T(y,z) \ z) = T(x,z * (y \ 1)). [hyper(286,a,13719,a,b,16344,a),flip(a)]. given #14070 (H,wt=38): 16183 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). [hyper(62,a,14552,a,b,15680,a)]. given #14071 (H,wt=39): 15248 L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(15201(a,1),430(a,1,2,2,2)),flip(a)]. given #14072 (H,wt=39): 15337 (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(L(w,K(y,z),x),x * K(y,z),K(y,K(z,u))). [para(15322(a,1),430(a,1,1))]. given #14073 (H,wt=39): 15712 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T((y \ 1) \ z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). [para(13677(a,1),15709(a,1,1))]. given #14074 (H,wt=37): 16346 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). [para(13680(a,1),15712(a,1,2))]. given #14075 (H,wt=35): 16347 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,x \ ((y \ 1) \ z)). [hyper(286,a,13501,a(flip),b,16346,a),flip(a)]. given #14076 (H,wt=35): 16348 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,((y \ 1) * x) \ z). [hyper(286,a,10568,a,b,16347,a),flip(a)]. given #14077 (H,wt=33): 16350 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,((y \ 1) * x) \ z). [para(7617(a,1),16348(a,1,2))]. given #14078 (H,wt=31): 16351 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). [hyper(286,a,13553,a(flip),b,16350,a),flip(a)]. given #14079 (H,wt=29): 16352 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). [para(13532(a,1),16351(a,1,1,1,2))]. given #14080 (H,wt=41): 15965 K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,T(y,K(z,u * w))) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). [para(15870(a,1),14735(a,2,2,1))]. given #14081 (H,wt=35): 16353 K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,y) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). [para(15052(a,1),15965(a,1,2,2,1))]. given #14082 (H,wt=42): 15466 K(x,L(y / T(z / K(u,w),v5),T(z / K(u,w),v5),K(u,w))) = K(x,(y * K(u,w)) / (T(K(u,w) \ z,v5) * K(u,w))). [hyper(62,a,14434,a,b,15402,a)]. given #14083 (H,wt=42): 16288 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(16287(a,1),14080(a,1,1))]. given #14084 (H,wt=38): 16356 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),16288(a,1,1,1))]. given #14085 (H,wt=34): 16357 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),16356(a,1,1,3)),flip(a)]. given #14086 (H,wt=32): 16358 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6718(a,1),16357(a,2,2))]. given #14087 (H,wt=28): 16359 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(9(a,1),16358(a,2,2,2))]. given #14088 (H,wt=26): 16360 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4772(a,1),16359(a,2,2))]. given #14089 (H,wt=23): 16361 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(286,a,9191,a(flip),b,16360,a),flip(a)]. given #14090 (H,wt=21): 16362 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6992,a,16361,a)]. given #14091 (H,wt=17): 16363 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),16362(a,1,2))]. given #14092 (H,wt=17): 16364 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(13768,a,16363,a)]. given #14093 (H,wt=15): 16365 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(62,a,13645,a(flip),b,16364,a)]. given #14094 (H,wt=15): 16367 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),16365(a,2,1))]. given #14095 (H,wt=17): 16368 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(62,a,11664,a(flip),b,16367,a),flip(a)]. given #14096 (H,wt=17): 16370 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(62,a,5812,a,b,16368,a)]. given #14097 (H,wt=15): 16371 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(62,a,10692,a(flip),b,16370,a)]. given #14098 (H,wt=19): 16373 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),16371(a,1,1,2,1)),flip(a)]. given #14099 (H,wt=19): 16374 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(286,a,8936,a(flip),b,16373,a),flip(a)]. given #14100 (H,wt=21): 16375 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(16374(a,1),271(a,1,2))]. given #14101 (H,wt=23): 16376 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(62,a,10685,a,b,16375,a)]. given #14102 (H,wt=41): 16377 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(16376(a,1),16191(a,1,1,1,2,1,2))]. given #14103 (H,wt=37): 16378 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(16335(a,1),16377(a,1,1,1))]. given #14104 (H,wt=25): 16379 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(16193,a,16378,a),flip(a)]. given #14105 (H,wt=25): 16380 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(286,a,15760,a(flip),b,16379,a),flip(a)]. given #14106 (H,wt=25): 16381 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(62,a,15986,a(flip),b,16380,a)]. given #14107 (H,wt=23): 16382 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(14981,a,16381,a),flip(a)]. given #14108 (H,wt=27): 16383 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(16382(a,1),15987(a,2,1))]. given #14109 (H,wt=25): 16384 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(286,a,4834,a(flip),b,16383,a),flip(a)]. given #14110 (H,wt=35): 16385 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(16384(a,1),4129(a,1,1))]. given #14111 (H,wt=27): 16386 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,4129,a(flip),b,16385,a),flip(a)]. given #14112 (H,wt=38): 16387 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(16386(a,1),14658(a,1,1,1)),flip(a)]. given #14113 (H,wt=27): 16388 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(286,a,14658,a(flip),b,16387,a),flip(a)]. given #14114 (H,wt=27): 16389 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(286,a,7777,a(flip),b,16388,a),flip(a)]. given #14115 (H,wt=27): 16390 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7981,a,16389,a)]. given #14116 (H,wt=25): 16391 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(62,a,15984,a(flip),b,16390,a)]. given #14117 (H,wt=26): 16392 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(62,a,15985,a(flip),b,16391,a),flip(a)]. given #14118 (H,wt=21): 16393 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(62,a,9533,a(flip),b,16392,a)]. given #14119 (H,wt=19): 16394 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(107(a,1),16393(a,1,2,2,1,1)),flip(a)]. given #14120 (H,wt=19): 16395 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(15782,a,16394,a)]. given #14121 (H,wt=23): 16398 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(286,a,8043,a,b,16395,a)]. given #14122 (H,wt=19): 16399 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(33,a,15789,a,b,16398,a)]. given #14123 (H,wt=19): 16400 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8434,a,16399,a)]. given #14124 (H,wt=19): 16401 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(62,a,15855,a(flip),b,16399,a),flip(a)]. given #14125 (H,wt=19): 16402 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(62,a,15816,a(flip),b,16399,a),flip(a)]. given #14126 (H,wt=19): 16404 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15208,a,16402,a)]. given #14127 (H,wt=19): 16405 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),16404(a,1,2,2,2,2)),flip(a)]. given #14128 (H,wt=25): 16403 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(16399(a,1),15886(a,1,1))]. given #14129 (H,wt=25): 16406 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8744,a,16403,a),flip(a)]. given #14130 (H,wt=25): 16408 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(76(a,1),16406(a,1,2,1,2)),flip(a)]. given #14131 (H,wt=25): 16409 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15209,a,16408,a)]. given #14132 (H,wt=26): 16407 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(62,a,15933,a(flip),b,16406,a),flip(a)]. given #14133 (H,wt=22): 16410 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),16407(a,2,2,2,2))]. given #14134 (H,wt=22): 16411 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(286,a,15897,a,b,16410,a),flip(a)]. given #14135 (H,wt=24): 16414 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13605(a,1),16411(a,1,2))]. given #14136 (H,wt=25): 16412 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(16410(a,2),15899(a,1))]. given #14137 (H,wt=25): 16415 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(16411(a,2),15899(a,1))]. given #14138 (H,wt=26): 16413 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(62,a,16409,a(flip),b,16411,a)]. given #14139 (H,wt=25): 16417 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(62,a,16414,a(flip),b,16413,a),flip(a)]. given #14140 (H,wt=27): 16416 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. [para(13605(a,1),16412(a,1,2))]. given #14141 (H,wt=28): 16418 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3685(a,2),16413(a,2,2,2,1))]. given #14142 (H,wt=26): 16419 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13604(a,1),16418(a,1,2))]. given #14143 (H,wt=23): 16420 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(16412,a,16419,a),flip(a)]. given #14144 (H,wt=23): 16422 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,16400,a(flip),b,16420,a)]. given #14145 (H,wt=21): 16423 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15939,a,16422,a)]. given #14146 (H,wt=21): 16424 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15955,a,b,16423,a)]. given #14147 (H,wt=21): 16426 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(62,a,15953,a(flip),b,16423,a),flip(a)]. given #14148 (H,wt=21): 16428 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15902,a,16426,a)]. given #14149 (H,wt=23): 16429 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(62,a,16417,a,b,16426,a)]. given #14150 (H,wt=23): 16434 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15902,a,16429,a)]. given #14151 (H,wt=24): 16431 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14496,a,b,16428,a)]. given #14152 (H,wt=22): 16435 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14594,a(flip),b,16431,a)]. given #14153 (H,wt=25): 16427 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15956,a,16424,a)]. given #14154 (H,wt=26): 16421 K(x,K(y,(T(z,u) / (1 / u)) / w)) != v5 | K(x,K(y,(z * u) / w)) = v5. [para(16419(a,1),16412(a,1))]. given #14155 (H,wt=26): 16430 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15004,a(flip),b,16426,a),flip(a)]. given #14156 (H,wt=33): 16432 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11538(a,1),16428(a,1,2))]. given #14157 (H,wt=33): 16433 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14041(a,1),16428(a,1,2,2,2,1)),flip(a)]. given #14158 (H,wt=29): 16437 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(286,a,16434,a(flip),b,16433,a),flip(a)]. given #14159 (H,wt=23): 16439 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(62,a,16427,a(flip),b,16437,a)]. given #14160 (H,wt=23): 16440 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15899,a,16439,a)]. given #14161 (H,wt=23): 16442 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(62,a,15931,a(flip),b,16439,a)]. given #14162 (H,wt=23): 16443 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8434,a,16442,a)]. given #14163 (H,wt=26): 16445 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,16236,a(flip),b,16443,a),flip(a)]. given #14164 (H,wt=26): 16446 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15194,a,16445,a)]. given #14165 (H,wt=26): 16447 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). [hyper(8058,a,16445,a)]. given #14166 (H,wt=27): 16444 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(108(a,1),16442(a,1,2,2,2)),flip(a)]. given #14167 (H,wt=23): 16451 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15939,a,16444,a),flip(a)]. given #14168 (H,wt=23): 16452 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(15971,a,16451,a)]. given #14169 (H,wt=22): 16454 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(15695,a,16452,a),flip(a)]. given #14170 (H,wt=28): 16450 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),16446(a,1,2,2,2,2))]. given #14171 (H,wt=29): 16449 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(16445(a,1),8058(a,1))]. given #14172 (H,wt=30): 16448 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(286,a,14352,a,b,16445,a),flip(a)]. given #14173 (H,wt=26): 16455 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),16448(a,2,2))]. given #14174 (H,wt=35): 16436 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15351(a,1),16432(a,1,2)),flip(a)]. given #14175 (H,wt=33): 16456 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(286,a,8396,a(flip),b,16436,a),flip(a)]. given #14176 (H,wt=21): 16457 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(62,a,16404,a(flip),b,16456,a),flip(a)]. given #14177 (H,wt=21): 16459 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(286,a,16400,a(flip),b,16457,a),flip(a)]. given #14178 (H,wt=21): 16460 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15935,a,16459,a)]. given #14179 (H,wt=24): 16461 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(237(a,1),16459(a,1,2,2,2))]. given #14180 (H,wt=20): 16462 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(286,a,15808,a(flip),b,16461,a),flip(a)]. given #14181 (H,wt=28): 16464 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(62,a,16241,a(flip),b,16462,a),flip(a)]. given #14182 (H,wt=25): 16466 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(104(a,1),16464(a,1,2,2)),flip(a)]. given #14183 (H,wt=25): 16467 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(15905,a,16466,a)]. given #14184 (H,wt=27): 16468 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15904,a,16467,a),flip(a)]. given #14185 (H,wt=25): 16470 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15904,a,16468,a),flip(a)]. given #14186 (H,wt=24): 16473 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,16430,a(flip),b,16470,a),flip(a)]. given #14187 (H,wt=25): 16472 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15935,a,16470,a)]. given #14188 (H,wt=25): 16474 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(62,a,15950,a(flip),b,16470,a),flip(a)]. given #14189 (H,wt=27): 16469 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15197,a,16467,a)]. given #14190 (H,wt=25): 16477 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(286,a,11092,a(flip),b,16469,a),flip(a)]. given #14191 (H,wt=25): 16478 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(286,a,16440,a(flip),b,16477,a),flip(a)]. given #14192 (H,wt=25): 16479 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8434,a,16478,a)]. given #14193 (H,wt=27): 16476 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(286,a,15879,a(flip),b,16474,a),flip(a)]. given #14194 (H,wt=25): 16481 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6822(a,1),16476(a,1,2,2,2))]. given #14195 (H,wt=21): 16482 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15938,a,16481,a)]. given #14196 (H,wt=28): 16471 K(x,K(y,z * (u * ((1 / w) * v5)))) != v6 | K(x,K(y,z * ((v5 / w) * u))) = v6. [para(16468(a,1),15904(a,1))]. given #14197 (H,wt=28): 16475 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(62,a,16460,a(flip),b,16473,a)]. given #14198 (H,wt=26): 16484 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(62,a,16482,a(flip),b,16475,a)]. given #14199 (H,wt=21): 16485 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,16454,a(flip),b,16484,a),flip(a)]. given #14200 (H,wt=19): 16486 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,14509,a(flip),b,16485,a)]. given #14201 (H,wt=28): 16480 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(14163(a,1),16479(a,1,2)),flip(a)]. given #14202 (H,wt=28): 16487 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(286,a,14286,a,b,16480,a),flip(a)]. given #14203 (H,wt=43): 15934 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(8131(a,1),15868(a,1,2,1))]. given #14204 (H,wt=39): 16488 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(15262,a,15934,a),flip(a)]. given #14205 (H,wt=39): 16490 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(14364(a,1),16488(a,2,2))]. given #14206 (H,wt=34): 16491 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(286,a,15980,a(flip),b,16490,a),flip(a)]. given #14207 (H,wt=30): 16492 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(15958,a,16491,a)]. given #14208 (H,wt=25): 16495 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,15900,a(flip),b,16492,a)]. given #14209 (H,wt=21): 16496 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(62,a,15836,a(flip),b,16495,a),flip(a)]. given #14210 (H,wt=21): 16497 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11809,a,16496,a)]. given #14211 (H,wt=23): 16499 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13621(a,1),16496(a,1,2,2,2))]. given #14212 (H,wt=21): 16501 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(286,a,16486,a(flip),b,16499,a),flip(a)]. given #14213 (H,wt=27): 16500 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(286,a,14283,a,b,16497,a),flip(a)]. given #14214 (H,wt=21): 16503 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14284,a,16500,a)]. given #14215 (H,wt=21): 16504 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4609(a,1),16503(a,1,2))]. given #14216 (H,wt=21): 16505 a(x,y \ z,K(u,K(w,v5))) = a(x,z / y,K(u,K(w,v5))). [para(4699(a,1),16503(a,1,2)),flip(a)]. given #14217 (H,wt=25): 16506 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(62,a,11850,a(flip),b,16504,a),flip(a)]. given #14218 (H,wt=25): 16507 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8060(a,2),16506(a,2,3))]. given #14219 (H,wt=23): 16508 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11102(a,1),16507(a,2,3))]. given #14220 (H,wt=25): 16509 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(10(a,1),16508(a,1,3,2,2))]. given #14221 (H,wt=25): 16510 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8060(a,1),16509(a,1,3))]. given #14222 (H,wt=21): 16511 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(10(a,1),16510(a,2,3,2,2))]. given #14223 (H,wt=21): 16512 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8060(a,1),16511(a,2,3))]. given #14224 (H,wt=21): 16513 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(76(a,1),16512(a,1,2,2))]. given #14225 (H,wt=21): 16514 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8060(a,2),16513(a,1,3))]. given #14226 (H,wt=21): 16515 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8060(a,2),16514(a,2,3))]. given #14227 (H,wt=21): 16516 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(62,a,14257,a,b,16515,a)]. given #14228 (H,wt=21): 16517 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8077(a,1),16516(a,2,3))]. given #14229 (H,wt=31): 16502 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(16501(a,1),16283(a,1,1)),flip(a)]. given #14230 (H,wt=31): 16518 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(8076(a,1),16502(a,2,2))]. given #14231 (H,wt=29): 16520 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(286,a,12263,a(flip),b,16518,a),flip(a)]. given #14232 (H,wt=27): 16521 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10251(a,1),16520(a,2,1))]. given #14233 (H,wt=25): 16522 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(286,a,14488,a(flip),b,16521,a),flip(a)]. given #14234 (H,wt=25): 16523 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15946(a,1),16522(a,1,2))]. given #14235 (H,wt=25): 16524 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8076(a,1),16523(a,1,3))]. given #14236 (H,wt=21): 16525 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11856,a,16524,a)]. given #14237 (H,wt=19): 16526 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(159(a,1),16525(a,1,2,1))]. given #14238 (H,wt=19): 16528 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(62,a,16517,a(flip),b,16526,a)]. given #14239 (H,wt=19): 16529 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(286,a,14258,a,b,16528,a),flip(a)]. given #14240 (H,wt=26): 16527 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(62,a,16487,a,b,16526,a)]. given #14241 (H,wt=26): 16530 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8060(a,1),16527(a,2,3))]. given #14242 (H,wt=46): 16531 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(6093(a,1),16530(a,1,2,2,2,1))]. given #14243 (H,wt=42): 16532 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(4884(a,1),16531(a,1,2,2,2,1,2))]. given #14244 (H,wt=40): 16533 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(14557(a,1),16532(a,1,2))]. given #14245 (H,wt=40): 16534 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(7107(a,1),16533(a,1,2,2,1))]. given #14246 (H,wt=38): 16535 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,16472,a(flip),b,16534,a)]. given #14247 (H,wt=32): 16536 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15889,a,16535,a)]. given #14248 (H,wt=30): 16538 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6914(a,1),16536(a,2,3,2))]. given #14249 (H,wt=24): 16539 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15803(a,1),16538(a,2,3))]. given #14250 (H,wt=21): 16540 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(62,a,16450,a(flip),b,16539,a)]. given #14251 (H,wt=25): 16542 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(73(a,1),16540(a,1,3,2,1))]. given #14252 (H,wt=25): 16543 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(16405(a,1),16542(a,1,3))]. given #14253 (H,wt=25): 16544 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8056(a,1),16543(a,1,3))]. given #14254 (H,wt=23): 16545 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(16154(a,1),16544(a,1,3))]. given #14255 (H,wt=21): 16546 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(62,a,14350,a(flip),b,16545,a),flip(a)]. given #14256 (H,wt=21): 16547 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8077(a,1),16546(a,1,3))]. given #14257 (H,wt=21): 16548 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(62,a,16505,a(flip),b,16547,a)]. given #14258 (H,wt=19): 16549 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(62,a,16529,a(flip),b,16548,a),flip(a)]. given #14259 (H,wt=19): 16550 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8056(a,1),16549(a,2,3))]. given #14260 (H,wt=24): 16551 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(16449,a,16550,a)]. given #14261 (H,wt=24): 16552 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8060(a,2),16551(a,2,3))]. given #14262 (H,wt=19): 16553 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(62,a,16455,a(flip),b,16552,a)]. given #14263 (H,wt=19): 16554 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8397(a,1),16553(a,1,3))]. given #14264 (H,wt=19): 16555 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8077(a,1),16554(a,2,3))]. given #14265 (H,wt=17): 16556 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(62,a,16550,a(flip),b,16555,a),flip(a)]. given #14266 (H,wt=23): 16557 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(16556(a,1),14268(a,1,1))]. given #14267 (H,wt=23): 16558 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8056(a,1),16557(a,1,2))]. given #14268 (H,wt=17): 16559 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14525,a,16558,a),flip(a)]. given #14269 (H,wt=17): 16560 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8743,a,16559,a)]. given #14270 (H,wt=22): 16561 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(286,a,16435,a(flip),b,16560,a),flip(a)]. given #14271 (H,wt=19): 16564 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(16415,a,16561,a)]. given #14272 (H,wt=26): 16563 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(7178(a,1),16560(a,1,2)),flip(a)]. given #14273 (H,wt=24): 16565 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [hyper(286,a,8396,a(flip),b,16563,a),flip(a)]. given #14274 (H,wt=35): 16562 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(660(a,1),16560(a,1,2,2)),flip(a)]. given #14275 (H,wt=35): 16566 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(286,a,14992,a(flip),b,16562,a),flip(a)]. given #14276 (H,wt=35): 16567 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(286,a,16564,a(flip),b,16566,a),flip(a)]. given #14277 (H,wt=31): 16568 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(286,a,16401,a(flip),b,16567,a),flip(a)]. given #14278 (H,wt=30): 16571 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(8225(a,1),16568(a,2,2))]. given #14279 (H,wt=26): 16573 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(286,a,15016,a(flip),b,16571,a),flip(a)]. given #14280 (H,wt=22): 16575 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14594,a(flip),b,16573,a)]. given #14281 (H,wt=19): 16577 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,16565,a(flip),b,16575,a),flip(a)]. given #14282 (H,wt=16): 16580 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(9774(a,1),16577(a,1,2)),flip(a)]. given #14283 (H,wt=14): 16582 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(286,a,8396,a(flip),b,16580,a),flip(a)]. given #14284 (H,wt=14): 16583 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(286,a,8382,a(flip),b,16580,a),flip(a)]. given #14285 (H,wt=14): 16587 K(x,L(K(y,z),u,w)) = K(x,K(y,z)). [hyper(11802,a,16582,a)]. given #14286 (H,wt=14): 16594 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(62,a,8601,a,b,16582,a)]. given #14287 (H,wt=10): 16615 a(x,y,K(z,K(u,w))) = 1. [hyper(52,a,16594,a)]. given #14288 (H,wt=10): 16616 a(K(x,y),z,K(u,w)) = 1. [hyper(14238,a,16615,a)]. given #14289 (H,wt=10): 16618 a(K(x,K(y,z)),u,w) = 1. [hyper(62,a,14176,a,b,16615,a)]. given #14290 (H,wt=10): 16619 K(x,K(y,a(z,u,w))) = 1. [hyper(62,a,14286,a(flip),b,16615,a)]. given #14291 (H,wt=10): 16620 K(x,a(K(y,z),u,w)) = 1. [hyper(62,a,14187,a(flip),b,16615,a)]. given #14292 (H,wt=10): 16627 L(x,y,K(z,K(u,w))) = x. [hyper(51,a,16618,a)]. given #14293 (H,wt=10): 16635 T(x,K(y,a(z,u,w))) = x. [hyper(55,a,16619,a)]. given #14294 (H,wt=10): 16640 T(x,a(K(y,z),u,w)) = x. [hyper(55,a,16620,a)]. given #14295 (H,wt=10): 16656 T(x,a(y,z,K(u,w))) = x. [para(13475(a,2),16635(a,1,2))]. given #14296 (H,wt=12): 16623 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(51,a,16616,a)]. given #14297 (H,wt=12): 16637 K(x,K(y,L(z,u,w) \ z)) = 1. [para(13334(a,2),16619(a,1,2))]. given #14298 (H,wt=12): 16651 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8469,a,16635,a)]. given #14299 (H,wt=12): 16652 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(8439,a,16635,a)]. given #14300 (H,wt=12): 16663 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(11808,a,16623,a)]. given #14301 (H,wt=12): 16664 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11777,a,16623,a)]. given #14302 (H,wt=13): 16644 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(7354,a,16627,a)]. given #14303 (H,wt=13): 16646 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(16627(a,1),49(a,2))]. given #14304 (H,wt=13): 16654 T(x,K(y,a(z,u,w))) != v5 | x = v5. [para(16635(a,1),48(a,2))]. given #14305 (H,wt=15): 16642 L(x,y,T(K(z,u),w)) = L(x,y,K(z,u)). [hyper(7544,a,16627,a),flip(a)]. given #14306 (H,wt=15): 16649 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(11147,a,16635,a)]. given #14307 (H,wt=15): 16661 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(53,a,16656,a)]. given #14308 (H,wt=15): 16680 K(L(x,y,a(z,u,K(w,v5))),v6) = K(x,v6). [para(13302(a,1),16663(a,1,1,3))]. given #14309 (H,wt=15): 16683 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(7353(a,1),16664(a,1,2))]. given #14310 (H,wt=15): 16685 K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). [para(13302(a,1),16664(a,1,2,3))]. given #14311 (H,wt=15): 16689 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(6777(a,1),16642(a,1,3))]. given #14312 (H,wt=15): 16690 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(286,a,14187,a,b,16649,a),flip(a)]. given #14313 (H,wt=16): 16597 T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. [para(16582(a,1),8062(a,1,1)),flip(a)]. given #14314 (H,wt=14): 16704 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(286,a,8062,a(flip),b,16597,a),flip(a)]. given #14315 (H,wt=14): 16708 T(x,K(L(y,z,u),w)) = T(x,K(y,w)). [para(11737(a,1),16704(a,1,2))]. given #14316 (H,wt=16): 16703 a(x,y,K(z,u)) != w | K(x,a(u,y,z)) = w. [para(16690(a,1),4805(a,1))]. given #14317 (H,wt=16): 16712 T(T(x,y),K(z,y)) = T(x,T(y,L(z,u,w))). [hyper(8441,a,16708,a),flip(a)]. given #14318 (H,wt=14): 16715 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [hyper(8441,a,16712,a),flip(a)]. given #14319 (H,wt=16): 16713 a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. [para(14178(a,1),16703(a,1))]. given #14320 (H,wt=16): 16714 a(x,y,K(z,u)) != w | K(u,a(z,y,x)) = w. [para(14178(a,2),16703(a,1))]. given #14321 (H,wt=16): 16716 T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. [para(16715(a,1),7802(a,1,1))]. given #14322 (H,wt=14): 16717 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(7848,a,16716,a),flip(a)]. given #14323 (H,wt=17): 16584 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(16580(a,2),8408(a,1))]. given #14324 (H,wt=17): 16659 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(7640,a,16656,a),flip(a)]. given #14325 (H,wt=17): 16686 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(62,a,13379,a(flip),b,16644,a),flip(a)]. given #14326 (H,wt=17): 16687 L(x,y,z \ K(u,w)) = L(x,y,K(u,w) / z). [para(12182(a,1),16644(a,1,3))]. given #14327 (H,wt=17): 16688 L(x,y,K(z,u \ w)) = L(x,y,K(z,w / u)). [para(6767(a,1),16642(a,1,3))]. given #14328 (H,wt=17): 16698 K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). [para(110(a,1),16683(a,1,2,3))]. given #14329 (H,wt=17): 16699 K(x,L(y,z,(u \ w) \ w)) = K(x,L(y,z,u)). [para(109(a,1),16683(a,1,2,3))]. given #14330 (H,wt=17): 16724 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8601(a,2),16584(a,1))]. given #14331 (H,wt=17): 16730 (a(x,y,K(z,u)) * w) \ w = a(u,y,K(z,x)). [para(16659(a,2),14186(a,1,1))]. given #14332 (H,wt=18): 16692 K(x,T(a(y,z,u),w)) != v5 | a(x,z,K(u,y)) = v5. [para(16649(a,2),14236(a,1))]. given #14333 (H,wt=19): 16595 K(x,K(y,(z * u) \ w)) = K(x,K(y,u \ (z \ w))). [para(268(a,1),16582(a,1,2,2))]. given #14334 (H,wt=17): 16745 K(x,K(y,z \ (u \ y))) = K(x,K(y,u * z)). [hyper(8696,a,16595,a),flip(a)]. given #14335 (H,wt=19): 16596 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(445(a,1),16582(a,1,2,2)),flip(a)]. given #14336 (H,wt=19): 16600 K(x,K((y \ z) \ u,w)) = K(x,K(z \ (y * u),w)). [para(11750(a,1),16582(a,1,2)),flip(a)]. given #14337 (H,wt=19): 16606 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(16583(a,1),8602(a,1,2))]. given #14338 (H,wt=19): 16612 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(16587(a,1),14399(a,1,1)),flip(a)]. given #14339 (H,wt=19): 16643 (K(K(x,y),z) * u) \ w = u \ (K(z,K(x,y)) * w). [hyper(7467,a,16627,a),flip(a)]. given #14340 (H,wt=19): 16647 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(16627(a,1),495(a,1,2))]. given #14341 (H,wt=19): 16650 x * (y * K(x,a(z,u,w))) = T(x,a(z,u,w)) * y. [hyper(8634,a,16635,a),flip(a)]. given #14342 (H,wt=19): 16665 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(62,a,7074,a(flip),b,16623,a),flip(a)]. given #14343 (H,wt=19): 16667 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(16623(a,1),92(a,1,2))]. given #14344 (H,wt=19): 16678 K((K(x,y) * z) / (K(x,y) * u),w) = K(z / u,w). [hyper(62,a,15970,a(flip),b,16663,a)]. given #14345 (H,wt=19): 16682 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5856(a,1),16664(a,1,2))]. given #14346 (H,wt=19): 16684 K(x,L(y,z,T(u,w) \ 1)) = K(x,L(y,z,u \ 1)). [para(11309(a,1),16664(a,1,2))]. given #14347 (H,wt=19): 16718 K(x,T(y,(z * u) \ w)) = K(x,T(y,(w / u) / z)). [hyper(15311,a,16717,a)]. given #14348 (H,wt=19): 16719 K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). [para(445(a,1),16717(a,1,2,2)),flip(a)]. given #14349 (H,wt=19): 16729 (x \ y) * a(z,u,K(x,w)) = T(x,a(w,u,z)) \ y. [hyper(62,a,14291,a(flip),b,16659,a),flip(a)]. given #14350 (H,wt=19): 16731 L(x,y,z * K(u,w \ 1)) = L(x,y,K(w,u) * z). [hyper(62,a,13443,a(flip),b,16686,a),flip(a)]. given #14351 (H,wt=19): 16746 K(x,K(y,z \ (u \ w))) = K(x,K(y,w \ (z * u))). [hyper(62,a,15866,a(flip),b,16595,a),flip(a)]. given #14352 (H,wt=19): 16750 K(x,K(y,(z / u) \ w)) = K(x,K(y,z \ (u * w))). [hyper(62,a,15826,a(flip),b,16596,a)]. given #14353 (H,wt=19): 16751 K(x \ (y \ z),K(u,w)) = K(u,K(z \ (y * x),w)). [hyper(8415,a,16600,a)]. given #14354 (H,wt=19): 16753 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(15049,a,16606,a)]. given #14355 (H,wt=19): 16758 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(15033(a,1),16612(a,1,1))]. given #14356 (H,wt=17): 16793 K((x * K(y,K(z,u))) * w,v5) = K(x * w,v5). [para(16758(a,2),15359(a,1,1))]. given #14357 (H,wt=17): 16794 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(16758(a,2),15390(a,1,2))]. given #14358 (H,wt=19): 16761 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [para(8076(a,1),16643(a,1,1,1))]. given #14359 (H,wt=19): 16762 (x * K(y,K(z,u))) / w = K(y,K(z,u)) * (x / w). [para(15033(a,1),16647(a,1,1))]. given #14360 (H,wt=19): 16763 x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. [para(14187(a,2),16650(a,1,2,2))]. given #14361 (H,wt=19): 16764 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(15426,a,16665,a)]. given #14362 (H,wt=19): 16766 (x \ K(y,z)) \ K(u,w) = K(z,y) * (x * K(u,w)). [hyper(13736,a,16667,a)]. given #14363 (H,wt=19): 16775 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(286,a,15403,a(flip),b,16682,a),flip(a)]. given #14364 (H,wt=19): 16780 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). [hyper(286,a,14974,a,b,16718,a),flip(a)]. given #14365 (H,wt=19): 16783 K(x,K(y,z \ (K(u,w) * v5))) = K(x,K(y,v5 \ z)). [hyper(15843,a,16746,a),flip(a)]. given #14366 (H,wt=19): 16784 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (u \ w))). [hyper(286,a,8399,a,b,16746,a)]. given #14367 (H,wt=19): 16788 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(546,a,16753,a)]. given #14368 (H,wt=19): 16791 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(15033(a,2),16753(a,2,2))]. given #14369 (H,wt=19): 16795 K((x * T(y,K(z,u))) * w,v5) = K((x * y) * w,v5). [para(1271(a,1),16793(a,1,1,1))]. given #14370 (H,wt=19): 16798 K((T(x,K(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). [para(15199(a,1),16793(a,1,1,1))]. given #14371 (H,wt=19): 16799 K(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). [para(8278(a,1),16794(a,1,2,1)),flip(a)]. given #14372 (H,wt=19): 16802 (x * K(y,K(z,u))) / w = (x / w) * K(y,K(z,u)). [hyper(286,a,15033,a(flip),b,16762,a),flip(a)]. given #14373 (H,wt=19): 16803 K((x * K(y,z)) \ u,w) = K(x \ (u * K(z,y)),w). [hyper(286,a,15369,a(flip),b,16764,a),flip(a)]. given #14374 (H,wt=19): 16807 K(x,K(y,z \ (K(u,w) * v5))) = K(x,K(y,z \ v5)). [hyper(286,a,8399,a,b,16783,a),flip(a)]. given #14375 (H,wt=19): 16809 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(62,a,16595,a(flip),b,16784,a)]. given #14376 (H,wt=19): 16812 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(62,a,16761,a,b,16788,a)]. given #14377 (H,wt=19): 16814 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(62,a,16758,a,b,16791,a)]. given #14378 (H,wt=10): 16827 R(x,K(y,K(z,u)),w) = x. [hyper(4528,a,16814,a)]. given #14379 (H,wt=10): 16828 L(x,K(y,K(z,u)),w) = x. [hyper(435,a,16814,a)]. given #14380 (H,wt=19): 16823 K(x,K(y,z \ (u \ w))) = K(x,K(y,z \ (w / u))). [para(4699(a,1),16807(a,1,2,2,2)),flip(a)]. given #14381 (H,wt=19): 16825 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(15033(a,1),16812(a,1,1))]. given #14382 (H,wt=19): 16835 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [hyper(62,a,16809,a,b,16823,a)]. given #14383 (H,wt=19): 16836 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [para(11(a,1),16835(a,2,2,2,2))]. given #14384 (H,wt=19): 16837 K(x,K(y,(z * u) \ (w * u))) = K(x,K(y,z \ w)). [hyper(62,a,16595,a,b,16836,a)]. given #14385 (H,wt=19): 16838 K(x,K(y,z \ (u * (w \ z)))) = K(x,K(y,w \ u)). [para(10(a,1),16837(a,1,2,2,1))]. given #14386 (H,wt=20): 16655 K(a(x,y,z),u) * w != v5 | w * K(a(x,y,z),u) = v5. [para(16635(a,1),6963(a,1)),flip(a)]. given #14387 (H,wt=20): 16662 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(16656(a,1),262(a,1,2))]. given #14388 (H,wt=20): 16674 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(16651(a,1),12142(a,1))]. given #14389 (H,wt=20): 16693 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(16661(a,1),262(a,1,2))]. given #14390 (H,wt=20): 16744 a(x,y,K(z,u)) != w \ v5 | a(u,y,K(z,x)) * v5 = w. [para(16730(a,1),47(a,1))]. given #14391 (H,wt=20): 16816 K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. [para(16791(a,1),15391(a,1,2))]. given #14392 (H,wt=20): 16817 K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,v5) = v6. [para(16791(a,1),15412(a,1,1))]. given #14393 (H,wt=20): 16841 K(x,K(y,z \ u)) != w | K(x,K(y,u * (z \ y))) = w. [para(16838(a,1),8709(a,1))]. given #14394 (H,wt=17): 16851 K(x,K(y,z * (u \ y))) = K(x,K(y,z \ u)). [hyper(16841,a,8399,a)]. given #14395 (H,wt=21): 16601 K(x,K((y * (z \ 1)) * u,w)) = K(x,K(y * (z \ u),w)). [para(13858(a,1),16582(a,1,2))]. given #14396 (H,wt=21): 16696 K(x,L(y,z,L(T(u,w),v5,v6))) = K(x,L(y,z,L(u,v5,v6))). [para(25(a,2),16683(a,1,2,3))]. given #14397 (H,wt=21): 16697 K(x,L(L(y,z,T(u,w)),v5,v6)) = K(x,L(L(y,v5,v6),z,u)). [para(30(a,1),16683(a,1,2))]. given #14398 (H,wt=21): 16705 T(x * K(y,L(z,u,w)),K(y,z)) = K(y,L(z,u,w)) * x. [hyper(8289,a,16704,a),flip(a)]. given #14399 (H,wt=21): 16707 K(x,L(y,z,u)) * T(w,K(x,y)) = w * K(x,L(y,z,u)). [para(16704(a,1),108(a,1,2))]. given #14400 (H,wt=21): 16727 a(x,y,K(z,u)) * (w * z) = w * (z * a(x,y,K(z,u))). [hyper(286,a,12579,a(flip),b,16659,a),flip(a)]. given #14401 (H,wt=21): 16757 K(x,K(y,z)) * ((x * u) * w) = (T(x,K(y,z)) * u) * w. [para(4675(a,1),16612(a,1,1)),flip(a)]. given #14402 (H,wt=21): 16767 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(286,a,7738,a(flip),b,16667,a),flip(a)]. given #14403 (H,wt=19): 16859 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(15769,a,16767,a)]. given #14404 (H,wt=19): 16867 K(x,y) * (K(z,u) * (y * x)) = K(z,u) * (x * y). [para(4605(a,1),16859(a,1,2)),flip(a)]. given #14405 (H,wt=20): 16869 K(x,y) * (K(x,z) * (y * x)) != u | T(x,z) * y = u. [para(16867(a,2),5938(a,1))]. given #14406 (H,wt=21): 16770 (K(x,y) * (z \ 1)) * K(u,w) = K(x,y) * (z \ K(u,w)). [para(13512(a,1),16667(a,2,2))]. given #14407 (H,wt=19): 16872 (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). [hyper(13735,a,16770,a)]. given #14408 (H,wt=19): 16873 (K(x,y) / z) * K(u,w) = K(x,y) * (z \ K(u,w)). [para(13636(a,1),16770(a,1,1))]. given #14409 (H,wt=21): 16778 K(x,L(y,z,((u * w) / u) \ 1)) = K(x,L(y,z,w \ 1)). [para(203(a,1),16684(a,1,2,3,1)),flip(a)]. given #14410 (H,wt=21): 16781 K(x,T(y,z \ (u * (w \ 1)))) = K(x,T(y,(u \ z) * w)). [hyper(62,a,14987,a(flip),b,16719,a),flip(a)]. given #14411 (H,wt=21): 16800 (K(x,K(y,z)) * u) \ (x * w) = u \ (T(x,K(y,z)) * w). [para(4675(a,1),16761(a,2,2))]. given #14412 (H,wt=21): 16810 x * K(y,K(x,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). [para(16784(a,2),8061(a,1,2))]. given #14413 (H,wt=19): 16878 T(x,K(y,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). [hyper(8064,a,16810,a)]. given #14414 (H,wt=21): 16818 K((x * T(y,T(z,u))) * w,v5) = K((x * T(y,z)) * w,v5). [para(7613(a,1),16795(a,1,1,1,2))]. given #14415 (H,wt=21): 16820 K((T(x,T(y,z)) \ u) * w,v5) = K((T(x,y) \ u) * w,v5). [para(7613(a,1),16798(a,1,1,1,1))]. given #14416 (H,wt=21): 16824 K(x,K(y,z \ (T(u,w) \ v5))) = K(x,K(y,z \ (u \ v5))). [para(5715(a,1),16807(a,1,2,2,2)),flip(a)]. given #14417 (H,wt=21): 16830 (x \ 1) * (K(y,K(z,u)) * w) = (x \ K(y,K(z,u))) * w. [para(13512(a,1),16814(a,1,1)),flip(a)]. given #14418 (H,wt=21): 16832 (x / (y * z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) * z). [hyper(62,a,10482,a(flip),b,16827,a),flip(a)]. given #14419 (H,wt=21): 16852 K(x,K(y * (z * (u \ 1)),w)) = K(x,K(z * (u \ y),w)). [hyper(15209,a,16601,a)]. given #14420 (H,wt=21): 16853 K(x,K(y * ((z \ 1) \ u),w)) = K(x,K((y * z) * u,w)). [para(4893(a,1),16601(a,1,2,1,1,2)),flip(a)]. given #14421 (H,wt=21): 16870 K(x,y) * (((z \ y) * z) * x) = K(z \ y,z) * (x * y). [para(11382(a,1),16867(a,1,2))]. given #14422 (H,wt=21): 16880 K(x,K(y,(T(z,u) * w) \ v5)) = K(x,K(y,w \ (z \ v5))). [hyper(62,a,16595,a,b,16824,a)]. given #14423 (H,wt=21): 16881 (x \ 1) * (y * K(z,K(u,w))) = (x \ K(z,K(u,w))) * y. [para(15033(a,1),16830(a,1,2))]. given #14424 (H,wt=22): 16701 K(x,y) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [para(16685(a,1),14655(a,1,1))]. given #14425 (H,wt=22): 16702 (x * K(y,z)) \ (K(y,T(z,x)) * u) = L(x \ u,x,K(y,z)). [hyper(62,a,8205,a(flip),b,16689,a)]. given #14426 (H,wt=22): 16720 K(x,T(L(y,z,u) \ w,y)) != v5 | K(x,w / L(y,z,u)) = v5. [para(16717(a,1),8246(a,1))]. given #14427 (H,wt=22): 16721 K(x,T(y,z)) / L(z,u,w) != v5 | L(z,u,w) \ K(x,y) = v5. [para(16717(a,1),12184(a,1,1))]. given #14428 (H,wt=22): 16722 K(x,K(y,(z * u) \ (z * w))) != v5 | K(x,K(y,u \ w)) = v5. [para(94(a,1),16584(a,1,2,2))]. given #14429 (H,wt=22): 16723 K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,u \ (z \ w))) = v5. [para(268(a,1),16584(a,1,2,2))]. given #14430 (H,wt=22): 16725 K(x,K(y \ (z * u),w)) != v5 | K(x,K((z \ y) \ u,w)) = v5. [para(11750(a,1),16584(a,1,2))]. given #14431 (H,wt=22): 16804 K(x,(K(y,z) * u) \ x) != w | K(x,u \ (K(z,y) * x)) = w. [para(16775(a,2),13734(a,1))]. given #14432 (H,wt=22): 16805 K(x,y \ (z * K(u,w))) != v5 | K(x,(y * K(w,u)) \ z) = v5. [para(16775(a,1),15421(a,1))]. given #14433 (H,wt=22): 16811 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,w \ (z * u))) = v5. [para(16784(a,1),8422(a,1))]. given #14434 (H,wt=22): 16844 K(x,L(y,z,u \ 1)) != w | a(x,z,K(y,u)) * K(x,y) = w. [para(14263(a,1),16693(a,1))]. given #14435 (H,wt=22): 16845 K(x,y * (T(z,K(u,w)) * v5)) != v6 | K(x,y * (z * v5)) = v6. [para(4675(a,1),16816(a,1,2,2))]. given #14436 (H,wt=22): 16855 T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). [para(11753(a,1),16705(a,1,1))]. given #14437 (H,wt=21): 16893 T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). [hyper(286,a,14405,a(flip),b,16855,a),flip(a)]. given #14438 (H,wt=22): 16879 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,(z * u) \ w)) = v5. [para(16810(a,1),8064(a,1))]. given #14439 (H,wt=22): 16886 K(x,y) * ((z * u) * a(x,z,K(u,y))) = (K(x,y) * z) * u. [para(14176(a,1),16701(a,1,2,2))]. given #14440 (H,wt=22): 16891 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,u \ (z \ w))) = v5. [para(16784(a,1),16723(a,1))]. given #14441 (H,wt=22): 16892 K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,w \ (u * z))) = v5. [para(16595(a,2),16811(a,1))]. given #14442 (H,wt=22): 16895 K(x,y) * (z * (u * a(x,z,K(u,y)))) = (K(x,y) * z) * u. [para(12579(a,1),16886(a,1,2))]. given #14443 (H,wt=22): 16896 K(x,K(y,z \ (u / w))) != v5 | K(x,K(y,z \ (w \ u))) = v5. [para(16835(a,1),16891(a,1))]. given #14444 (H,wt=23): 16602 K(x,K((((y \ 1) / z) * u) * y,w)) = K(x,K(z \ u,T(w,y))). [para(13603(a,1),16582(a,1,2))]. given #14445 (H,wt=23): 16670 K(x,(L(y,z,u) \ y) \ w) * 1 = K(x,w / (L(y,z,u) \ y)). [para(16637(a,1),8717(a,1,2))]. given #14446 (H,wt=21): 16904 K(x,(L(y,z,u) \ y) \ w) = K(x,w / (L(y,z,u) \ y)). [hyper(124,a,16670,a)]. given #14447 (H,wt=23): 16710 T(x,K(y,(z \ 1) \ ((u \ 1) \ w))) = T(x,K(y,(z * u) * w)). [para(14620(a,1),16704(a,1,2))]. given #14448 (H,wt=23): 16738 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). [para(6395(a,1),16698(a,2,2,3))]. given #14449 (H,wt=21): 16907 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,u * (w \ 1))). [hyper(14332,a,16738,a),flip(a)]. given #14450 (H,wt=23): 16752 x * (T(y,z) * K(u,K(x * y,w))) = T(x * T(y,z),K(u,w)). [hyper(15867,a,16606,a),flip(a)]. given #14451 (H,wt=23): 16759 T(K(x,K(y,z)) * u,w) * v5 = K(x,K(y,z)) * (T(u,w) * v5). [para(15316(a,2),16612(a,1,1))]. given #14452 (H,wt=23): 16760 K(x,K(y,z)) * ((u * K(x,y)) * w) = (u * K(x,T(y,z))) * w. [para(15322(a,1),16612(a,1,1)),flip(a)]. given #14453 (H,wt=23): 16774 K(x \ 1,y \ (K(z,u) * w)) = K(x,((K(u,z) * y) \ w) \ 1). [hyper(6476,a,16682,a),flip(a)]. given #14454 (H,wt=21): 16912 K(x \ 1,y \ (K(z,u) * w)) = K(x,w \ (K(u,z) * y)). [hyper(286,a,6717,a(flip),b,16774,a),flip(a)]. given #14455 (H,wt=23): 16785 K(x,K(y,z \ ((u \ w) * v5))) = K(x,K(y,w \ (u * (v5 \ z)))). [hyper(62,a,16596,a(flip),b,16746,a),flip(a)]. given #14456 (H,wt=23): 16787 K(x,K(y \ (z \ u),w * v5)) = K(x,K(u \ (z * y),v5 * w)). [hyper(15194,a,16751,a)]. given #14457 (H,wt=23): 16792 K(x,K(y,z)) * (u * (K(x,y) * w)) = u * (K(x,T(y,z)) * w). [para(15198(a,1),16753(a,2,2))]. given #14458 (H,wt=23): 16796 K((x * (y * T(z,K(u,w)))) * v5,v6) = K((x * (y * z)) * v5,v6). [para(7483(a,1),16793(a,1,1,1))]. given #14459 (H,wt=23): 16797 K((x * (K(y,z) * u)) * w,v5) = K((x * (u * K(y,z))) * w,v5). [para(10593(a,1),16793(a,1,1,1)),flip(a)]. given #14460 (H,wt=23): 16826 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(16791(a,1),16812(a,1,1))]. given #14461 (H,wt=23): 16831 (x * (y * K(z,K(u,w)))) * v5 = (x * y) * (K(z,K(u,w)) * v5). [para(16606(a,1),16814(a,1,1))]. given #14462 (H,wt=23): 16834 K(x,K(y,(z * u) \ (w \ v5))) = K(x,K(y,u \ (z \ (v5 / w)))). [hyper(286,a,16595,a(flip),b,16823,a),flip(a)]. given #14463 (H,wt=23): 16885 (x \ K(y,K(z,u))) * (w \ 1) = (x \ 1) * (w \ K(y,K(z,u))). [para(13512(a,1),16881(a,1,2)),flip(a)]. given #14464 (H,wt=23): 16902 K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(u \ w,T(y,z))). [hyper(8109,a,16602,a)]. given #14465 (H,wt=21): 16923 K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(y,u \ w)). [hyper(286,a,15017,a(flip),b,16902,a),flip(a)]. given #14466 (H,wt=23): 16905 K(x,y * (L(z,u,w) * (z \ 1))) = K(x,(L(z,u,w) \ z) \ y). [hyper(286,a,13814,a,b,16904,a)]. given #14467 (H,wt=21): 16926 K(x,(L(y,z,u) \ y) \ w) = K(x,w * (y \ L(y,z,u))). [para(1233(a,1),16905(a,1,2,2)),flip(a)]. given #14468 (H,wt=23): 16908 x * T(y * K(z,K(x * y,u)),w) = T(x * T(y,w),K(z,u)). [para(15317(a,2),16752(a,1,2))]. given #14469 (H,wt=23): 16911 (x * K(y,z)) * (u * K(y,K(z,w))) = (x * K(y,T(z,w))) * u. [hyper(62,a,16753,a(flip),b,16760,a)]. given #14470 (H,wt=23): 16918 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [hyper(286,a,15033,a,b,16826,a),flip(a)]. given #14471 (H,wt=23): 16919 K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,z \ (u \ (v5 / w)))). [hyper(16723,a,16834,a)]. given #14472 (H,wt=23): 16920 K(x,K(y,(z \ u) \ (w * v5))) = K(x,K(y,v5 \ (w \ (u / z)))). [hyper(8422,a,16834,a)]. given #14473 (H,wt=23): 16927 K(x,y * (z \ L(z,u \ 1,u))) = K(x,a(u,u \ 1,z) \ y). [para(713(a,1),16926(a,1,2,1)),flip(a)]. given #14474 (H,wt=23): 16929 K(x,K(y,z)) * ((K(x,y) * u) \ w) = (K(x,T(y,z)) * u) \ w. [para(10895(a,1),16918(a,1,1)),flip(a)]. given #14475 (H,wt=23): 16930 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(15033(a,1),16918(a,1,1,2))]. given #14476 (H,wt=23): 16932 K(x,K(y,z \ (u \ (w / v5)))) = K(x,K(y,w \ (v5 * (u * z)))). [hyper(62,a,16596,a(flip),b,16920,a),flip(a)]. given #14477 (H,wt=23): 16936 K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,v5 \ (w * (u * z)))). [hyper(62,a,16919,a,b,16932,a)]. given #14478 (H,wt=23): 16937 K(x,K(y,z \ (u \ (w \ K(v5,v6))))) = K(x,K(y,w * (u * z))). [hyper(286,a,15814,a(flip),b,16936,a),flip(a)]. given #14479 (H,wt=24): 16675 (a(x,y,z) \ u) * K(u / a(x,y,z),w) = T(a(x,y,z) \ u,w). [hyper(62,a,8196,a,b,16652,a)]. given #14480 (H,wt=24): 16733 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [para(16686(a,2),6904(a,1,2))]. given #14481 (H,wt=24): 16777 K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (T(y,z) \ w)). [hyper(62,a,14605,a(flip),b,16684,a),flip(a)]. given #14482 (H,wt=24): 16843 a(x \ y,z,K(u,w)) * v5 != v6 | v5 * a(u,z,K(y \ x,w)) = v6. [para(14189(a,2),16662(a,1,1))]. given #14483 (H,wt=24): 16846 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(8581(a,1),16816(a,1,2,2))]. given #14484 (H,wt=24): 16847 K(x,y * (z \ K(u,T(w,v5)))) != v6 | K(x,y * (z \ K(u,w))) = v6. [para(16201(a,1),16816(a,1,2,2))]. given #14485 (H,wt=22): 16941 K(x,y * (K(z,u) / w)) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(12177(a,1),16847(a,1,2,2))]. given #14486 (H,wt=24): 16848 K(x * (K(y,T(z,u)) * w),v5) != v6 | K(x * (K(y,z) * w),v5) = v6. [para(8581(a,1),16817(a,1,1,2))]. given #14487 (H,wt=24): 16850 K(x * (y * K(z,T(u,w))),v5) != v6 | K(x * (y * K(z,u)),v5) = v6. [para(15322(a,1),16817(a,1,1,2))]. given #14488 (H,wt=24): 16856 T(x * (T(y,x) * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (y * x). [para(11772(a,1),16705(a,1,1))]. given #14489 (H,wt=21): 16944 T(x * (T(y,x) * K(z,u)),K(z,u)) = (K(z,u) * y) * x. [hyper(286,a,14399,a(flip),b,16856,a),flip(a)]. given #14490 (H,wt=25): 16671 K(((x \ y) * x) / (a(z,u,w) * x),v5) = K((x * a(z,u,w)) \ y,v5). [hyper(62,a,14429,a(flip),b,16651,a)]. given #14491 (H,wt=25): 16676 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(15763,a,16663,a)]. given #14492 (H,wt=23): 16948 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(286,a,8183,a(flip),b,16676,a),flip(a)]. given #14493 (H,wt=19): 16949 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,w). [hyper(286,a,8149,a(flip),b,16948,a),flip(a)]. given #14494 (H,wt=22): 16950 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(16948(a,2),8223(a,1))]. given #14495 (H,wt=25): 16694 K((x * a(y,z,K(u,w))) / v5,v6) = K(x / (v5 * a(w,z,K(u,y))),v6). [hyper(62,a,14431,a(flip),b,16680,a),flip(a)]. given #14496 (H,wt=25): 16782 L(x,y,(K(z,u) * w) * K(v5,w \ 1)) = L(x,y,K(z,u) * T(w,v5)). [para(15091(a,1),16731(a,2,3))]. given #14497 (H,wt=25): 16786 K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,((u \ z) \ 1) \ w)). [para(6395(a,1),16750(a,1,2,2,1)),flip(a)]. given #14498 (H,wt=23): 16954 K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). [hyper(286,a,11099,a(flip),b,16786,a),flip(a)]. given #14499 (H,wt=21): 16956 K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). [hyper(13839,a,16954,a)]. given #14500 (H,wt=21): 16957 K(x,K(y,((z \ 1) * u) * w)) = K(x,K(y,(z \ w) * u)). [hyper(15208,a,16956,a)]. given #14501 (H,wt=21): 16958 K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,(w \ z) * u)). [hyper(62,a,15008,a,b,16956,a)]. given #14502 (H,wt=21): 16960 K(x,K(y,(z \ (u \ 1)) * w)) = K(x,K(y,(w \ u) * z)). [hyper(62,a,16954,a(flip),b,16958,a),flip(a)]. given #14503 (H,wt=23): 16959 T(x,K(((y \ 1) * z) \ u,w)) = K(x,K(w,(z \ u) * y)) * x. [para(16957(a,1),13800(a,1,1)),flip(a)]. given #14504 (H,wt=21): 16962 T(x,K(((y \ 1) * z) \ u,w)) = T(x,K(w,(z \ u) * y)). [hyper(4743,a,16959,a),flip(a)]. given #14505 (H,wt=21): 16963 T(x,K(((y \ 1) * z) * u,w)) = T(x,K(w,(y \ u) * z)). [para(13539(a,1),16962(a,1,2))]. given #14506 (H,wt=21): 16964 T(x,K(y,((z \ 1) * u) * w)) = T(x,K(y,(z \ w) * u)). [hyper(8134,a,16963,a)]. given #14507 (H,wt=23): 16961 T(x,K(y,(z \ (u \ 1)) * w)) = K(y,K(x,(w \ u) * z)) * x. [para(16960(a,1),8062(a,1,1)),flip(a)]. given #14508 (H,wt=21): 16966 T(x,K(y,(z \ (u \ 1)) * w)) = T(x,K(y,(w \ u) * z)). [hyper(286,a,8062,a(flip),b,16961,a),flip(a)]. given #14509 (H,wt=25): 16819 K(((T(x,T(y,z)) * y) \ u) * w,v5) = K(((T(x,y) * y) \ u) * w,v5). [para(7098(a,1),16798(a,1,1,1,1))]. given #14510 (H,wt=25): 16882 (x \ 1) * T(y * K(z,K(u,w)),v5) = (x \ K(z,K(u,w))) * T(y,v5). [para(15333(a,2),16830(a,1,2))]. given #14511 (H,wt=25): 16894 K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. [para(16855(a,1),15082(a,1,2))]. given #14512 (H,wt=25): 16915 K((x * (y * T(z,T(u,w)))) * v5,v6) = K((x * (y * T(z,u))) * v5,v6). [para(7613(a,1),16796(a,1,1,1,2,2))]. given #14513 (H,wt=25): 16933 ((K(x,y) * z) \ u) \ K(x,K(y,w)) = ((K(x,T(y,w)) * z) \ u) \ 1. [para(16929(a,1),11094(a,1,1)),flip(a)]. given #14514 (H,wt=25): 16938 K(x,K(y,z \ (u * (T(w,v5) * v6)))) = K(x,K(y,v6 \ (w \ (u \ z)))). [hyper(62,a,16824,a(flip),b,16936,a),flip(a)]. given #14515 (H,wt=25): 16945 K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * ((K(u,w) * z) * y),v5). [para(16944(a,1),15362(a,1,1,2)),flip(a)]. given #14516 (H,wt=25): 16946 K(x,(y * (T(z,y) * K(u,w))) * v5) = K(x,((K(u,w) * z) * y) * v5). [para(16944(a,1),15396(a,1,2,1)),flip(a)]. given #14517 (H,wt=25): 16953 L(x,y,K(z,u) * (w * K(v5,w \ 1))) = L(x,y,K(z,u) * T(w,v5)). [para(6688(a,1),16782(a,1,3))]. given #14518 (H,wt=23): 16970 L(x,y,K(z,u) / T(w \ 1,v5)) = L(x,y,K(z,u) * T(w,v5)). [para(13637(a,1),16953(a,1,3))]. given #14519 (H,wt=23): 16971 L(x,y,T(z \ 1,u) \ K(w,v5)) = L(x,y,K(w,v5) * T(z,u)). [hyper(62,a,16687,a,b,16970,a)]. given #14520 (H,wt=26): 16607 K(L(x,y,z) * (z * y),u) * K(x,K(u,z * y)) = K(z * (y * x),u). [para(16583(a,1),12213(a,1,2))]. given #14521 (H,wt=26): 16695 K(x,L(T(y / z,y * u),y,u)) = K(x,(z * T(u,w)) \ (y * T(u,w))). [hyper(62,a,16301,a(flip),b,16683,a),flip(a)]. given #14522 (H,wt=23): 16974 K(x,(y * T(z,u)) \ (w * T(z,u))) = K(x,(y * z) \ (w * z)). [hyper(62,a,16300,a(flip),b,16695,a),flip(a)]. given #14523 (H,wt=26): 16732 L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) = z \ ((K(x,y) * z) * u). [hyper(62,a,11509,a(flip),b,16686,a),flip(a)]. given #14524 (H,wt=26): 16740 x * K(y,L(z,u,(u * z) \ w)) = x * K(y,((w / (u * z)) * u) \ w). [para(16698(a,2),10342(a,1,2))]. given #14525 (H,wt=25): 16975 (x / (y * T(z,u))) * (y * z) = x * K(u,((x / (y * z)) * y) \ x). [hyper(62,a,14558,a(flip),b,16740,a)]. given #14526 (H,wt=26): 16849 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * ((K(z,u) * y) \ w),v5) = v6. [para(11421(a,1),16817(a,1,1,2))]. given #14527 (H,wt=26): 16871 K(x,T(x \ y,z)) * (K(y,z) * x) != u | T(x,x \ y) * K(y,z) = u. [para(8673(a,1),16869(a,1))]. given #14528 (H,wt=26): 16890 K(L(x \ y,x,K(z,u)),w) = K(((x \ 1) * K(u,z)) * (K(z,u) * y),w). [para(16702(a,1),14033(a,1,1))]. given #14529 (H,wt=21): 16976 K(((x \ 1) * K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). [hyper(62,a,16663,a(flip),b,16890,a),flip(a)]. given #14530 (H,wt=19): 16978 K((x \ K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). [para(13512(a,1),16976(a,1,1,1))]. given #14531 (H,wt=19): 16979 K((K(x,y) / z) \ u,w) = K(z * (K(y,x) * u),w). [para(76(a,1),16978(a,1,1,1)),flip(a)]. given #14532 (H,wt=19): 16980 K((x * K(y,z)) * u,w) = K(x * (K(y,z) * u),w). [hyper(13745,a,16979,a)]. given #14533 (H,wt=21): 16983 K((x * y) * (K(y,z) * u),w) = K((x * T(y,z)) * u,w). [para(6811(a,1),16980(a,1,1,1)),flip(a)]. given #14534 (H,wt=23): 16982 K((x * ((y * z) / y)) * u,w) = K((x * z) * (K(y,z) * u),w). [para(6695(a,1),16980(a,1,1,1))]. given #14535 (H,wt=25): 16981 K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K(y * (K(z,u) * x),w). [hyper(62,a,15847,a,b,16980,a)]. given #14536 (H,wt=19): 16985 K((K(x,y) * z) * u,w) = K(z * (u * K(x,y)),w). [hyper(34,a,15840,a,b,16981,a)]. given #14537 (H,wt=21): 16987 K((K(x,T(y,z)) * u) * w,v5) = K(u * (w * K(x,y)),v5). [hyper(286,a,15449,a(flip),b,16985,a),flip(a)]. given #14538 (H,wt=21): 16988 K(x * (y * K(z,u \ 1)),w) = K((K(z,u) * x) * y,w). [hyper(62,a,14820,a(flip),b,16985,a),flip(a)]. given #14539 (H,wt=21): 16989 K((x * y) * (z * K(x,u)),w) = K((T(x,u) * y) * z,w). [para(4675(a,1),16985(a,1,1,1)),flip(a)]. given #14540 (H,wt=21): 16990 K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). [para(5741(a,1),16985(a,1,1,1)),flip(a)]. given #14541 (H,wt=21): 16995 K((x / y) * (z * K(u,y)),w) = K((x / T(y,u)) * z,w). [para(9058(a,1),16987(a,1,1,1)),flip(a)]. given #14542 (H,wt=21): 16996 K(x * (y * K(z,u \ 1)),w) = K(x * (y * K(z,u)),w). [hyper(286,a,16985,a(flip),b,16988,a),flip(a)]. given #14543 (H,wt=24): 16993 K((K(x,T(y,z)) * u) * w,v5) != v6 | K(u * (w * K(x,y)),v5) = v6. [para(16985(a,2),16850(a,1))]. given #14544 (H,wt=22): 16998 K((K(x,y) * z) * u,w) != v5 | K(z * (u * K(x,y)),w) = v5. [para(107(a,1),16993(a,1,1,1,1,2))]. given #14545 (H,wt=24): 16999 K(x * (y * K(z,u \ 1)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(16988(a,2),16998(a,1))]. given #14546 (H,wt=25): 16984 K((x * y) * (K(z \ y,z) * u),w) = K((x * ((z \ y) * z)) * u,w). [para(10583(a,1),16980(a,1,1,1)),flip(a)]. given #14547 (H,wt=26): 16897 ((x * (y * a(z,x,K(y,u)))) \ 1) * K(u,z) = ((K(z,u) * x) * y) \ 1. [para(16895(a,1),6402(a,1,1)),flip(a)]. given #14548 (H,wt=26): 16900 K((x * (y * a(z,x,K(y,u)))) * K(u,z),w) = K((K(z,u) * x) * y,w). [para(16895(a,1),16010(a,1,1)),flip(a)]. given #14549 (H,wt=26): 16921 K(x,K(y,z \ (u \ (w / v5)))) != v6 | K(x,K(y,z \ (u \ (v5 \ w)))) = v6. [para(16834(a,1),16723(a,1))]. given #14550 (H,wt=26): 16939 K(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = K(x,K(y,w * (u * z))). [para(13302(a,1),16937(a,1,2,2,2,2,2))]. given #14551 (H,wt=26): 16942 K(x * (K(y / z,u) * w),v5) != v6 | K(x * (K(z \ y,u) * w),v5) = v6. [para(8158(a,1),16848(a,1,1,2,1))]. given #14552 (H,wt=26): 16955 K(x,K(y,(z \ 1) \ ((u \ 1) * w))) != v5 | K(x,K(y,(u \ z) * w)) = v5. [para(16786(a,2),13839(a,1))]. given #14553 (H,wt=26): 16986 K(K(x,L(y,z,u)) * (z * u),w) = K(z * (u * K(x * K(v5,v6),y)),w). [hyper(16120,a,16985,a)]. given #14554 (H,wt=23): 17002 K(x * (y * K(z * K(u,w),v5)),v6) = K((K(z,v5) * x) * y,v6). [para(14399(a,1),16986(a,1,1)),flip(a)]. given #14555 (H,wt=23): 17003 K(x * (y * K(z * K(u,w),v5)),v6) = K(x * (y * K(z,v5)),v6). [hyper(286,a,16985,a(flip),b,17002,a),flip(a)]. given #14556 (H,wt=25): 17004 K(x * ((y * K(z,u)) * K(y,w)),v5) = K(x * T(y * K(z,u),w),v5). [para(4659(a,2),17003(a,1,1,2)),flip(a)]. given #14557 (H,wt=23): 17005 K(x * T(y * K(z,u),w),v5) = K(x * (T(y,w) * K(z,u)),v5). [para(15114(a,1),17004(a,1,1,2)),flip(a)]. given #14558 (H,wt=25): 17006 K((x \ y) * T(z * K(u,x),w),v5) = K((T(x,u) \ y) * T(z,w),v5). [hyper(286,a,16990,a(flip),b,17005,a),flip(a)]. given #14559 (H,wt=25): 17007 K((T(x,y) \ z) * T(u,x \ z),w) = K((u * K(y,x)) * (x \ z),w). [para(108(a,1),17006(a,1,1)),flip(a)]. given #14560 (H,wt=25): 17008 K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (K(y,x) * (x \ z)),w). [hyper(286,a,16980,a(flip),b,17007,a),flip(a)]. given #14561 (H,wt=23): 17009 K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (T(x,y) \ z),w). [para(5741(a,1),17008(a,2,1,2))]. given #14562 (H,wt=26): 17000 (a(x,y,K(z,u)) * ((y * z) \ 1)) * K(x,u) = ((K(u,x) * y) * z) \ 1. [para(14315(a,1),16897(a,1,1))]. given #14563 (H,wt=27): 16711 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(16704(a,1),14707(a,1,2,1,2))]. given #14564 (H,wt=24): 17010 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(16704(a,1),16711(a,1,2)),flip(a)]. given #14565 (H,wt=18): 17011 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(286,a,14707,a(flip),b,17010,a),flip(a)]. given #14566 (H,wt=18): 17013 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(15061,a,17011,a)]. given #14567 (H,wt=18): 17015 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(10748(a,1),17011(a,1,2,1))]. given #14568 (H,wt=18): 17016 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(7081(a,1),17013(a,1,2,2))]. given #14569 (H,wt=19): 17020 T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). [para(14399(a,1),17015(a,1,2))]. given #14570 (H,wt=19): 17021 T(x,(K(y,z) * u) * (u \ w)) = T(x,K(y,z) * w). [para(14400(a,1),17015(a,1,2))]. given #14571 (H,wt=19): 17022 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(92(a,1),17016(a,1,2)),flip(a)]. given #14572 (H,wt=19): 17026 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(62,a,15382,a(flip),b,17020,a)]. given #14573 (H,wt=19): 17027 T(x,K(y,z) * ((K(z,y) * u) * w)) = T(x,u * w). [para(5846(a,1),17020(a,1,2,1)),flip(a)]. given #14574 (H,wt=19): 17033 T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). [hyper(15061,a,17022,a)]. given #14575 (H,wt=19): 17036 T(x,(K(y,z) * u) * (w * K(z,y))) = T(x,u * w). [hyper(62,a,17022,a(flip),b,17027,a)]. given #14576 (H,wt=20): 17017 T(x,y \ K(z,L(u,w,v5))) = T(x,K(z,u) * (y \ 1)). [hyper(15164,a,17015,a)]. given #14577 (H,wt=18): 17038 T(x,y \ K(z,L(u,w,v5))) = T(x,y \ K(z,u)). [hyper(286,a,15101,a(flip),b,17017,a),flip(a)]. given #14578 (H,wt=19): 17039 T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,u)). [hyper(62,a,15211,a,b,17038,a)]. given #14579 (H,wt=20): 17018 K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). [hyper(115,a,17015,a(flip),b,4659,a(flip)),flip(a)]. given #14580 (H,wt=18): 17041 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(286,a,4614,a,b,17018,a),flip(a)]. given #14581 (H,wt=18): 17044 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(15096,a,17041,a)]. given #14582 (H,wt=18): 17045 K(x,K(L(y,z,u),w) * v5) = K(x,K(y,w) * v5). [para(11737(a,1),17041(a,1,2,1))]. given #14583 (H,wt=19): 17043 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(16894,a,17041,a),flip(a)]. given #14584 (H,wt=19): 17048 K(x,(K(y,z) * u) * w) = K(x,K(z,y) * (u * w)). [hyper(62,a,14729,a(flip),b,17045,a)]. given #14585 (H,wt=19): 17051 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(286,a,15401,a,b,17043,a),flip(a)]. given #14586 (H,wt=19): 17057 K(x,(y * K(z,u)) * w) = K(x,K(u,z) * (y * w)). [hyper(15423,a,17048,a)]. given #14587 (H,wt=19): 17063 K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). [hyper(15096,a,17051,a)]. given #14588 (H,wt=19): 17064 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(14721,a,17051,a)]. given #14589 (H,wt=19): 17076 K(x,K(y,z) * (u * (K(y,z) * w))) = K(x,u * w). [para(5846(a,1),17064(a,2,2,2))]. given #14590 (H,wt=20): 17019 K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). [para(17015(a,1),4617(a,2,2))]. given #14591 (H,wt=18): 17078 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(286,a,4617,a,b,17019,a),flip(a)]. given #14592 (H,wt=18): 17080 K(x * K(y,L(z,u,w)),v5) = K(K(y,z) * x,v5). [hyper(15093,a,17078,a)]. given #14593 (H,wt=18): 17086 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [para(11737(a,1),17080(a,1,1,2))]. given #14594 (H,wt=21): 17025 T(x,K(y,z) * ((u \ 1) * w)) = T(x,(u * K(z,y)) \ w). [hyper(13764,a,17020,a),flip(a)]. given #14595 (H,wt=21): 17032 T(x,(y \ 1) * ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). [para(13649(a,1),17021(a,1,2,1))]. given #14596 (H,wt=19): 17090 T(x,y \ ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). [hyper(13695,a,17032,a)]. given #14597 (H,wt=21): 17037 T(x,(y * z) * (u * K(y,w))) = T(x,(T(y,w) * z) * u). [para(4644(a,1),17036(a,1,2,1))]. given #14598 (H,wt=21): 17042 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(17018(a,2),4728(a,1))]. given #14599 (H,wt=21): 17049 K(x,y * (z * K(u,w \ 1))) = K(x,K(u,w) * (y * z)). [hyper(14785,a,17043,a),flip(a)]. given #14600 (H,wt=21): 17050 K(x,y * (z * K(u,u \ w))) = K(x,K(u,w) * (y * z)). [hyper(14765,a,17043,a),flip(a)]. given #14601 (H,wt=19): 17093 K(x,K(y,z) * (u * (y \ z))) = K(x,u * (z / y)). [para(4672(a,1),17050(a,1,2,2)),flip(a)]. given #14602 (H,wt=21): 17053 K(x,K(y,z) * (u * (w / z))) = K(x,u * (w / T(z,y))). [para(6605(a,1),17043(a,2,2,2))]. given #14603 (H,wt=21): 17054 K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ T(y,z))). [para(13515(a,1),17043(a,2,2,2))]. given #14604 (H,wt=21): 17065 K(x,K(y,z) * (u * (y * w))) = K(x,u * (T(y,z) * w)). [para(4675(a,1),17051(a,2,2,2))]. given #14605 (H,wt=21): 17071 K(x,K(y,z) * ((u / y) * w)) = K(x,(u / T(y,z)) * w). [para(6605(a,1),17057(a,1,2,1)),flip(a)]. given #14606 (H,wt=20): 17100 K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. [para(17071(a,1),8982(a,1))]. given #14607 (H,wt=21): 17072 K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). [para(6811(a,1),17057(a,1,2,1)),flip(a)]. given #14608 (H,wt=21): 17073 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). [para(13515(a,1),17057(a,1,2,1)),flip(a)]. given #14609 (H,wt=21): 17077 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5741(a,1),17064(a,2,2,2))]. given #14610 (H,wt=17): 17106 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [hyper(62,a,17093,a(flip),b,17077,a),flip(a)]. given #14611 (H,wt=21): 17079 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(17019(a,2),4697(a,1))]. given #14612 (H,wt=21): 17084 K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). [para(14599(a,1),17078(a,1,1)),flip(a)]. given #14613 (H,wt=21): 17087 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(14574(a,1),17080(a,1,1)),flip(a)]. given #14614 (H,wt=21): 17089 K(x * K(L(y,z,u),w),v5) != v6 | K(x * K(y,w),v5) = v6. [para(17086(a,2),15093(a,1))]. given #14615 (H,wt=21): 17092 K(x,K(L(y,z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(11737(a,1),17042(a,1,2,1))]. given #14616 (H,wt=21): 17096 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y))). [hyper(14721,a,17054,a)]. given #14617 (H,wt=21): 17099 K(x,K(y,z) * ((u / z) * w)) = K(x,(u / T(z,y)) * w). [hyper(14721,a,17071,a)]. given #14618 (H,wt=21): 17102 K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). [hyper(14721,a,17073,a)]. given #14619 (H,wt=21): 17103 K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). [hyper(62,a,17064,a(flip),b,17073,a)]. given #14620 (H,wt=21): 17107 K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)). [hyper(62,a,17051,a(flip),b,17077,a)]. given #14621 (H,wt=21): 17112 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. [para(15067(a,1),17079(a,1))]. given #14622 (H,wt=21): 17118 K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17043,a(flip),b,17096,a)]. given #14623 (H,wt=21): 17121 K(x,y * (((z * u) / z) \ w)) = K(x,y * (T(u,z) \ w)). [para(5716(a,2),17107(a,1,2,2))]. given #14624 (H,wt=19): 17123 K(x,y * (T(T(z,u),u) \ w)) = K(x,y * (z \ w)). [para(204(a,1),17121(a,1,2,2,1)),flip(a)]. given #14625 (H,wt=17): 17124 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [hyper(62,a,17106,a(flip),b,17123,a)]. given #14626 (H,wt=17): 17125 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(3926(a,2),17124(a,1,2,2))]. given #14627 (H,wt=21): 17126 K(x,T(y,z \ u) * (z \ u)) = K(x,(T(u,z) / z) * y). [hyper(62,a,13107,a(flip),b,17125,a),flip(a)]. given #14628 (H,wt=17): 17127 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [hyper(62,a,12122,a(flip),b,17126,a),flip(a)]. given #14629 (H,wt=22): 17046 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(17041(a,1),16894(a,1))]. given #14630 (H,wt=22): 17056 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(17043(a,2),15430(a,1))]. given #14631 (H,wt=22): 17075 K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(17063(a,1),15095(a,1))]. given #14632 (H,wt=22): 17117 K(x,(K(y,z) * u) * w) != v5 | K(x,K(z,y) * (u * w)) = v5. [para(14729(a,1),17092(a,1))]. given #14633 (H,wt=22): 17130 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(z,y) * w)) = v5. [para(14720(a,1),17056(a,1))]. given #14634 (H,wt=22): 17131 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(15066(a,1),17056(a,1))]. given #14635 (H,wt=23): 17014 T(x,K((y * z) \ u,w) * v5) = T(x,K(z \ (y \ u),w) * v5). [para(268(a,1),17011(a,1,2,1,1))]. given #14636 (H,wt=23): 17024 T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(u,w) * z)). [hyper(15862,a,17020,a),flip(a)]. given #14637 (H,wt=23): 17059 K(x \ 1,K(y,z) * (u * w)) = K(x,(w \ 1) * (u \ K(y,z))). [hyper(62,a,13816,a(flip),b,17048,a),flip(a)]. given #14638 (H,wt=23): 17061 K(x,y * (K(K(z,u) * w,v5) * v6)) = K(x,K(w,v5) * (y * v6)). [hyper(16089,a,17051,a),flip(a)]. given #14639 (H,wt=23): 17062 K(x,y * (K(z,K(u,w) * v5) * v6)) = K(x,K(v5,z) * (y * v6)). [hyper(16088,a,17051,a),flip(a)]. given #14640 (H,wt=23): 17082 K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). [para(11750(a,1),17078(a,1,1,1)),flip(a)]. given #14641 (H,wt=23): 17083 K(K((x * y) \ z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). [para(11791(a,1),17078(a,1,1,1))]. given #14642 (H,wt=23): 17094 K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ ((y \ z) \ z))). [para(13584(a,2),17050(a,1,2,2)),flip(a)]. given #14643 (H,wt=21): 17135 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17054,a(flip),b,17094,a),flip(a)]. given #14644 (H,wt=23): 17095 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y \ 1))). [hyper(14791,a,17054,a)]. given #14645 (H,wt=21): 17136 K(x,y * (z \ T(u,w \ 1))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17096,a(flip),b,17095,a),flip(a)]. given #14646 (H,wt=23): 17097 K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). [hyper(16114,a,17065,a)]. given #14647 (H,wt=23): 17105 K(x,y * T(z \ K(u,w),v5)) = K(x,y * (T(z,v5) \ K(u,w))). [hyper(16094,a,17077,a)]. given #14648 (H,wt=23): 17115 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y \ 1)),w). [hyper(14807,a,17087,a)]. given #14649 (H,wt=21): 17138 K(x * (y \ K(z,u \ 1)),w) = K(x * (y \ K(z,u)),w). [hyper(62,a,17087,a(flip),b,17115,a),flip(a)]. given #14650 (H,wt=23): 17116 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(y * x,y)),w). [hyper(62,a,13190,a(flip),b,17087,a)]. given #14651 (H,wt=21): 17140 K(x * (y \ K(z * u,z)),w) = K(x * (y \ K(u,z)),w). [hyper(62,a,17087,a(flip),b,17116,a),flip(a)]. given #14652 (H,wt=23): 17133 K(x,(K(y,z) * (u * w)) \ 1) = K(x,(w \ 1) * (u \ K(y,z))). [hyper(6476,a,17059,a)]. given #14653 (H,wt=21): 17141 K(x,(y \ 1) * (z \ K(u,w))) = K(x,(z * y) \ K(w,u)). [hyper(6993,a,17133,a),flip(a)]. given #14654 (H,wt=19): 17142 K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(w,u))). [hyper(13560,a,17141,a),flip(a)]. given #14655 (H,wt=22): 17143 K(x,(y * z) \ K(u,w)) != v5 | K(x,z \ (y \ K(w,u))) = v5. [para(17141(a,1),13560(a,1))]. given #14656 (H,wt=24): 17029 T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,(u * K(z,y)) \ w) = v5. [para(17020(a,1),13764(a,1))]. given #14657 (H,wt=24): 17034 T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,u \ (w * K(y,z))) = v5. [para(17022(a,2),13695(a,1))]. given #14658 (H,wt=24): 17055 K(x,y * (z * K(u,u \ w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(17043(a,1),14765(a,1))]. given #14659 (H,wt=24): 17068 K(x,y * (K(z \ u,z) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(17051(a,1),14745(a,1))]. given #14660 (H,wt=24): 17081 K(K(L(x,y,z),z * y) * u,w) = K(K(z * (y * x),x) * u,w). [hyper(62,a,16037,a(flip),b,17078,a)]. given #14661 (H,wt=21): 17145 K(K(x * (y * z),z) * u,w) = K(K(z,x * y) * u,w). [para(13809(a,1),17081(a,1,1,1)),flip(a)]. given #14662 (H,wt=21): 17146 K(K(x * (y * z),y) * u,w) = K(K(y,x * z) * u,w). [para(8835(a,1),17145(a,1,1,1))]. given #14663 (H,wt=23): 17147 K(x \ K(y,z * (y * u)),w) = K(K(y,z * u) * x,w \ 1). [hyper(6971,a,17146,a)]. given #14664 (H,wt=24): 17149 K(x \ K(y,z * (y * u)),w) != v5 | K(x \ K(y,z * u),w) = v5. [para(17147(a,2),16031(a,1))]. given #14665 (H,wt=25): 17060 K(x,K(y,z) * (u * w)) * K(x,K(u,w)) = K(x,w * (K(z,y) * u)). [para(17048(a,1),15837(a,1,1))]. given #14666 (H,wt=25): 17070 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(w,u) * (z * y)). [hyper(62,a,15821,a,b,17057,a)]. given #14667 (H,wt=25): 17085 K(K(x,y * ((z \ 1) \ u)) * w,v5) = K(K(x,(y * z) * u) * w,v5). [para(14621(a,1),17078(a,1,1,1))]. given #14668 (H,wt=25): 17088 K(K(x * ((y \ 1) * z),u) * w,v5) = K(K(u,(x / y) * z) * w,v5). [hyper(62,a,16022,a(flip),b,17086,a)]. given #14669 (H,wt=25): 17101 K(K(x,(y * T(z,u)) * w) * v5,v6) = K(K((y * z) * w,x) * v5,v6). [para(17072(a,1),16009(a,1,1,1))]. given #14670 (H,wt=25): 17104 K(x,K(y,z) * ((u \ (y * z)) * w)) = K(x,(u \ T(y * z,z)) * w). [hyper(62,a,14734,a(flip),b,17073,a)]. given #14671 (H,wt=25): 17109 K(x,y * (z / u)) * K(x,K(y,z / u)) = K(x,(T(u,z) \ z) * y). [para(17106(a,1),15975(a,1,1))]. given #14672 (H,wt=17): 17155 K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). [hyper(62,a,12192,a(flip),b,17109,a),flip(a)]. given #14673 (H,wt=25): 17114 K((T(x,y) \ z) * T(u,x \ z),w) = K(K(y,x) * (u * (x \ z)),w). [para(108(a,1),17084(a,1,1,2)),flip(a)]. given #14674 (H,wt=21): 17156 K(K(x,y) * (z * (y \ u)),w) = K(z * (T(y,x) \ u),w). [hyper(62,a,17009,a(flip),b,17114,a),flip(a)]. given #14675 (H,wt=25): 17132 T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(w,T(u,v5)) * z)). [hyper(62,a,15611,a(flip),b,17024,a)]. given #14676 (H,wt=21): 17158 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(u,z) * v5)). [hyper(62,a,17024,a(flip),b,17132,a),flip(a)]. given #14677 (H,wt=19): 17159 T(x,y * (K(z,u) * w)) = T(x,y * (K(u,z) * w)). [hyper(62,a,15440,a(flip),b,17158,a)]. given #14678 (H,wt=23): 17160 T(x,y * (K(z,u) * ((z * u) * w))) = T(x,y * ((u * z) * w)). [para(11376(a,1),17159(a,1,2,2)),flip(a)]. given #14679 (H,wt=21): 17161 T(x,y * ((T(z,u) * u) * w)) = T(x,y * ((u * z) * w)). [para(11457(a,1),17160(a,1,2,2))]. given #14680 (H,wt=23): 17162 K(x * ((T(y,z) * z) * u),w) = T(w,x * ((z * y) * u)) \ w. [para(17161(a,1),4603(a,2,1))]. given #14681 (H,wt=21): 17163 K(x * ((T(y,z) * z) * u),w) = K(x * ((z * y) * u),w). [hyper(286,a,4603,a,b,17162,a),flip(a)]. given #14682 (H,wt=24): 17164 K(x * ((T(y,z) * z) * u),w) != v5 | K(x * ((z * y) * u),w) = v5. [para(17162(a,2),4684(a,1))]. given #14683 (H,wt=25): 17137 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (((u * w) \ w) \ w))). [para(3892(a,1),17136(a,1,2,2,2)),flip(a)]. given #14684 (H,wt=23): 17168 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ T(u * w,u))). [hyper(286,a,17135,a(flip),b,17137,a)]. given #14685 (H,wt=25): 17150 K(x,K(y,z) * (u * w)) * K(u,K(x,w)) = K(x,w * (K(z,y) * u)). [para(8056(a,1),17060(a,1,2))]. given #14686 (H,wt=25): 17151 K(x,K(y,z)) * K(y,K(u,w) * (z * x)) = K(y,x * (z * K(w,u))). [hyper(15251,a,17070,a)]. given #14687 (H,wt=25): 17154 K(x,K(y,z) * ((u \ (z * y)) * w)) = K(x,(u \ T(z * y,y)) * w). [hyper(14721,a,17104,a)]. given #14688 (H,wt=25): 17157 K(K(x,T(y,z)) * (K(z,y) * u),w) = K(y * (T(T(y,z),x) \ u),w). [para(4643(a,1),17156(a,1,1,2))]. given #14689 (H,wt=23): 17170 K((T(T(x,y),z) \ x) * u,w) = K(x * (T(T(x,y),z) \ u),w). [para(14602(a,1),17157(a,1,1))]. given #14690 (H,wt=23): 17171 K(K(x,y) * (z * K(y,u)),w) = K(y * (T(T(y,x),u) \ z),w). [hyper(62,a,16137,a(flip),b,17170,a)]. given #14691 (H,wt=26): 17031 T(T(x,K(y,z)),K(u,w) * (z * y)) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(17020(a,1),15862(a,1))]. given #14692 (H,wt=26): 17069 K(x,y * (K(z,K(u,w) * v5) * v6)) != v7 | K(x,K(v5,z) * (y * v6)) = v7. [para(17051(a,1),16088(a,1))]. given #14693 (H,wt=26): 17098 K(x,y * (T(z,u) * K(w,v5))) != v6 | K(x,y * T(z * K(w,v5),u)) = v6. [para(17065(a,1),16114(a,1))]. given #14694 (H,wt=26): 17108 K(x,y * (T(z,u) \ K(w,v5))) != v6 | K(x,y * T(z \ K(w,v5),u)) = v6. [para(17077(a,1),16094(a,1))]. given #14695 (H,wt=26): 17110 K(K(x,y \ (z \ u)) * w,v5) != v6 | K(K(x,(z * y) \ u) * w,v5) = v6. [para(14605(a,1),17079(a,1,1,1))]. given #14696 (H,wt=23): 17173 K(K(x,(y * z) \ u) * w,v5) = K(w * K(z \ (y \ u),x),v5). [hyper(17110,a,16010,a)]. given #14697 (H,wt=25): 17174 K(K(x,(y * T(z,u)) \ w) * v5,v6) = K(K(z \ (y \ w),x) * v5,v6). [hyper(286,a,16065,a(flip),b,17173,a),flip(a)]. given #14698 (H,wt=25): 17175 K(K(x \ (y * T(z,u)),w) * v5,v6) = K(K(z \ (y \ x),w) * v5,v6). [hyper(16032,a,17174,a)]. given #14699 (H,wt=26): 17134 K(K(x \ (y \ z),u) * w,v5) != v6 | K(K(u,z \ (y * x)) * w,v5) = v6. [para(17083(a,1),16050(a,1))]. given #14700 (H,wt=27): 16726 a(x * (y * z),y,K(z,x)) * a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(286,a,14309,a(flip),b,16659,a),flip(a)]. given #14701 (H,wt=18): 17177 ((x * y) * z) / (x * (y * z)) = 1 * a(x,y,z). [para(14536(a,1),16726(a,1,1)),flip(a)]. given #14702 (H,wt=16): 17178 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(226,a,17177,a)]. given #14703 (H,wt=27): 16748 K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,(z \ (u \ y)) \ y). [para(16745(a,1),8730(a,1,2))]. given #14704 (H,wt=27): 16821 K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(y,z * (w / (u \ 1))) * v5). [hyper(286,a,14845,a(flip),b,16799,a),flip(a)]. given #14705 (H,wt=27): 16876 K(x * ((y \ K(z,u)) * K(w,v5)),v6) = K(x * (K(z,u) * (y \ K(w,v5))),v6). [para(16873(a,1),15472(a,2,1,2))]. given #14706 (H,wt=27): 16917 (x * K((y * (K(z,u) * w)) * v5,v6)) \ x = K(v6,(y * (w * K(z,u))) * v5). [para(16797(a,2),6895(a,1,1,2))]. given #14707 (H,wt=27): 16931 (x * (T(T(x,y),K(z,u)) \ w)) \ v5 = K(x,K(z,u)) * ((K(y,x) * w) \ v5). [para(15529(a,1),16918(a,1,1))]. given #14708 (H,wt=27): 16968 (x \ K(y,K(z,u))) * T(w \ 1,v5) = (x \ 1) * T(w \ K(y,K(z,u)),v5). [para(13512(a,1),16882(a,1,2,1)),flip(a)]. given #14709 (H,wt=27): 16991 K((x \ y) * (z * K(x,u \ 1)),w) = K((y * T(y \ (x \ y),u)) * z,w). [para(6472(a,1),16985(a,1,1,1)),flip(a)]. given #14710 (H,wt=25): 17182 K((x \ y) * (z * K(x,u)),w) = K((y * T(y \ (x \ y),u)) * z,w). [hyper(16999,a,16991,a)]. given #14711 (H,wt=27): 16994 K((K(x,T(y,z)) * K(u,T(w,v5))) * v6,v7) = K(K(u,w) * (v6 * K(x,y)),v7). [hyper(286,a,15370,a(flip),b,16987,a),flip(a)]. given #14712 (H,wt=27): 17030 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,K(v5,w) * (u * z)) * v6). [para(17020(a,1),15728(a,2,2,1))]. given #14713 (H,wt=27): 17047 K(x,K(y,T(z \ (u \ w),v5)) * v6) = K(x,v6 * K(y,T((u * z) \ w,v5))). [para(505(a,1),17044(a,1,2,2,2)),flip(a)]. given #14714 (H,wt=25): 17183 K(x,y * K(z,T((u * w) \ v5,v6))) = K(x,K(w \ (u \ v5),z) * y). [hyper(16098,a,17047,a),flip(a)]. given #14715 (H,wt=25): 17185 K(x,K(y \ (z \ (u \ 1)),w) * v5) = K(x,K(u * (z * y),w) * v5). [hyper(62,a,15442,a(flip),b,17183,a),flip(a)]. given #14716 (H,wt=25): 17186 K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(w * (u * z),y) * v5). [hyper(14721,a,17185,a)]. given #14717 (H,wt=25): 17187 K(x,K(y,z * (u / (w \ 1))) * v5) = K(x,K(u * (w * z),y) * v5). [hyper(62,a,16821,a(flip),b,17186,a)]. given #14718 (H,wt=25): 17188 K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K(z * (u * y),w) * v5). [hyper(14721,a,17187,a)]. given #14719 (H,wt=27): 17066 K(x,K(y,L(T(z,u),w,v5)) * (v6 * u)) = K(x,v6 * (u * K(y,L(z,w,v5)))). [para(8148(a,1),17051(a,2,2,2))]. given #14720 (H,wt=24): 17189 K(x,K(y,T(z,u)) * (w * u)) = K(x,w * (u * K(y,L(z,v5,v6)))). [hyper(17042,a,17066,a)]. given #14721 (H,wt=25): 17191 K(x,y * (z * K(u,L(w,v5,v6)))) != v7 | K(x,K(w,u) * (y * z)) = v7. [para(17189(a,1),16098(a,1))]. given #14722 (H,wt=27): 17122 K(x * (K(y,z) * (y \ u)),w) = (v5 \ K(w,x * (T(y,z) \ u))) \ (v5 \ 1). [para(17107(a,1),13580(a,1,1,2)),flip(a)]. given #14723 (H,wt=21): 17192 K(x * (K(y,z) * (y \ u)),w) = K(x * (T(y,z) \ u),w). [hyper(286,a,13580,a(flip),b,17122,a),flip(a)]. given #14724 (H,wt=21): 17194 K(x * (((y * z) / y) \ u),w) = K(x * (T(z,y) \ u),w). [para(5716(a,2),17192(a,1,1,2))]. given #14725 (H,wt=23): 17197 K(x * (((y * z) / y) \ u),w) = K(x * (K(z,y) * (z \ u)),w). [hyper(286,a,17192,a,b,17194,a),flip(a)]. given #14726 (H,wt=24): 17193 K(x * (K(y,z) * (y \ u)),w) != v5 | K(x * (T(y,z) \ u),w) = v5. [para(17122(a,2),13581(a,1))]. given #14727 (H,wt=25): 17195 K(x * (y * T(y \ (z \ y),u)),w) = K(x * (T(z,u \ 1) \ y),w). [para(6472(a,1),17192(a,1,1,2))]. given #14728 (H,wt=25): 17196 K(x * (T(y,T(z,y \ u)) \ u),w) = K(x * ((y \ u) * K(y,z)),w). [para(8146(a,1),17192(a,1,1,2)),flip(a)]. given #14729 (H,wt=21): 17200 K(x * ((y \ z) * K(y,u)),w) = K(x * (T(y,u) \ z),w). [hyper(62,a,15474,a(flip),b,17196,a),flip(a)]. given #14730 (H,wt=28): 16645 (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(w,K(y,z),x). [hyper(62,a,15337,a,b,16627,a)]. given #14731 (H,wt=24): 17203 (x * K(y,T(z,u))) \ (x * (K(y,T(z,u)) * w)) = L(w,K(y,z),x). [para(16792(a,1),16645(a,1,2))]. given #14732 (H,wt=15): 17204 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [hyper(439,a,17203,a)]. given #14733 (H,wt=13): 17206 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(62,a,16235,a(flip),b,17204,a)]. given #14734 (H,wt=15): 17208 R(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [hyper(286,a,17204,a(flip),b,17206,a),flip(a)]. given #14735 (H,wt=20): 17209 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(17206(a,1),104(a,1,1))]. given #14736 (H,wt=24): 17211 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(17208(a,1),14456(a,1,1,2))]. given #14737 (H,wt=24): 17212 L(x,K(y,T(z,u)),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. [para(8146(a,1),17209(a,1,2))]. given #14738 (H,wt=22): 17215 L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. [para(11399(a,1),17212(a,1,1))]. given #14739 (H,wt=28): 16735 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(y * z) \ (x \ 1))). [hyper(286,a,13988,a,b,16698,a)]. given #14740 (H,wt=28): 16736 K(x / y,L(T(z,x * (u / y)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). [hyper(286,a,16061,a(flip),b,16698,a),flip(a)]. given #14741 (H,wt=28): 16739 K(x,L(T(y,z),u,(u * y) \ w)) * z = z * K(x,((w / (u * y)) * u) \ w). [para(16698(a,2),8588(a,1,1))]. given #14742 (H,wt=28): 16854 ((x * y) * K(z,u)) * K(u,L(z,y,L(x,y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(16696(a,1),14491(a,1,2))]. given #14743 (H,wt=28): 16857 K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(x,y)) = (u / (z * K(y,x))) * z. [hyper(286,a,11973,a(flip),b,16707,a),flip(a)]. given #14744 (H,wt=28): 16863 (x \ R(x,y,x)) \ (K(x,y) * (K(z,u) * w)) = K(z,u) * (K(x,x * y) * w). [hyper(286,a,10430,a,b,16859,a)]. given #14745 (H,wt=28): 16874 K(L(x,y,y \ z),u) * (z \ K(w,v5)) = ((z / y) * (y * K(u,x))) \ K(w,v5). [para(11852(a,1),16872(a,1,1)),flip(a)]. given #14746 (H,wt=28): 16877 K(x,L((((y * z) / y) * u) \ w,u,z \ 1)) = K(x,u \ (((y * z) / y) \ w)). [hyper(62,a,14605,a(flip),b,16778,a),flip(a)]. given #14747 (H,wt=28): 16916 K(a(x,y,x) * ((z * (u * K(w,v5))) * v6),v7) = K((z * (K(w,v5) * u)) * v6,v7). [hyper(286,a,13174,a,b,16797,a)]. given #14748 (H,wt=26): 17225 K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * (u * K(y,z))) * w,v5) = v6. [para(16916(a,1),13175(a,1))]. given #14749 (H,wt=28): 17001 T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = x * K(x,K(y,w * (u * z))). [para(16939(a,1),4659(a,2,2))]. given #14750 (H,wt=26): 17226 T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = T(x,K(y,w * (u * z))). [hyper(4730,a,17001,a),flip(a)]. given #14751 (H,wt=21): 17227 T(x,K(y,z \ (u \ (w \ 1)))) = T(x,K(y,w * (u * z))). [para(422(a,1),17226(a,1,2,2,2,2,2))]. given #14752 (H,wt=28): 17023 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(4856(a,2),17016(a,2,2))]. given #14753 (H,wt=28): 17111 K(K(x,y * ((z \ 1) \ u)) * w,v5) != v6 | K(K(x,(y * z) * u) * w,v5) = v6. [para(14621(a,1),17079(a,1,1,1))]. given #14754 (H,wt=28): 17153 K(K((x * y) * z,u) * w,v5) != v6 | K(w * K((x * T(y,v7)) * z,u),v5) = v6. [para(17101(a,1),16033(a,1))]. given #14755 (H,wt=28): 17198 K(x * ((L(y,z \ 1,z) / z) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). [para(235(a,1),17194(a,1,1,2,1,1))]. given #14756 (H,wt=28): 17217 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,z \ (y \ (x \ 1)))). [hyper(286,a,14501,a(flip),b,16735,a),flip(a)]. given #14757 (H,wt=28): 17218 K(x / y,L(T(z,x * (y \ u)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). [hyper(62,a,15949,a,b,16736,a)]. given #14758 (H,wt=25): 17231 K((x * (x \ y)) \ (z * (x \ y)),u) = K(T(y,x) \ (z * (y / x)),u). [hyper(15649,a,17218,a)]. given #14759 (H,wt=21): 17232 K(T(x,y) \ (z * (x / y)),u) = K(x \ (z * (y \ x)),u). [para(10(a,1),17231(a,1,1,1)),flip(a)]. given #14760 (H,wt=28): 17219 K(x,L(T(y,z),u,y \ (u \ w))) * z = z * K(x,((w / (u * y)) * u) \ w). [para(14544(a,1),16739(a,1,1))]. given #14761 (H,wt=26): 17234 x * K(y,L(z,u,z \ (u \ w))) = x * K(y,((w / (u * z)) * u) \ w). [hyper(8340,a,17219,a)]. given #14762 (H,wt=24): 17235 x * K(y,((z / (u * w)) * u) \ z) = x * K(y,L(w,u,u \ z)). [para(14305(a,1),17234(a,1,2)),flip(a)]. given #14763 (H,wt=22): 17236 (x / (y * T(z,u))) * (y * z) = x * K(u,L(z,y,y \ x)). [hyper(62,a,16975,a,b,17235,a)]. given #14764 (H,wt=21): 17237 (x / (y * T(z,u))) * (y * z) = (x / y) * (y * K(u,z)). [hyper(286,a,11852,a(flip),b,17236,a),flip(a)]. given #14765 (H,wt=28): 17220 (x * y) * (K(z,L(u,y,L(x,y,K(u,z)))) * K(u,z)) = R(x,y,K(u,z)) * y. [hyper(9229,a,16854,a)]. given #14766 (H,wt=24): 17238 (x * y) * a(z,y,K(L(x,y,K(u,z)),u)) = R(x,y,K(u,z)) * y. [para(14185(a,1),17220(a,1,2))]. given #14767 (H,wt=19): 17239 (x * y) * a(z,y,K(x,u)) = R(x,y,K(u,z)) * y. [para(16663(a,1),17238(a,1,2,3))]. given #14768 (H,wt=19): 17240 x * (y * a(z,y,K(x,u))) = R(x,y,K(u,z)) * y. [hyper(62,a,12587,a(flip),b,17239,a)]. given #14769 (H,wt=28): 17222 K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(y,x)) = (u / (z * K(y,x))) * z. [para(8115(a,1),16857(a,1,2))]. given #14770 (H,wt=28): 17224 K(x,L(y,z,z \ u)) * (u \ K(w,v5)) = ((u / z) * (z * K(y,x))) \ K(w,v5). [para(11780(a,1),16874(a,1,1))]. given #14771 (H,wt=28): 17229 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(6892(a,1),17023(a,1,2,1))]. given #14772 (H,wt=28): 17230 K(x * (L(y / z,z,z \ 1) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). [para(5919(a,2),17198(a,1,1,2,1))]. given #14773 (H,wt=28): 17242 T(K(x,L(y,z,(z * K(y,x)) \ u)) * u,K(y,x)) = (u / (z * K(y,x))) * z. [hyper(62,a,15917,a,b,17222,a)]. given #14774 (H,wt=28): 17243 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(9122(a,1),17229(a,1,2)),flip(a)]. given #14775 (H,wt=28): 17244 K(x * (T((y \ 1) * (z * y),y) \ u),w) = K(x * (L(z,y,y \ 1) \ u),w). [para(11(a,1),17230(a,1,1,2,1,1)),flip(a)]. given #14776 (H,wt=28): 17246 K(x,L(y,z,(z * K(y,x)) \ u)) * u = T((u / (z * K(y,x))) * z,K(y,x)). [hyper(8130,a,17242,a),flip(a)]. given #14777 (H,wt=28): 17247 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(5839(a,1),17243(a,1,2,2,2))]. given #14778 (H,wt=28): 17248 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(8032(a,1),17247(a,1,2,2))]. given #14779 (H,wt=18): 17249 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(62,a,15374,a(flip),b,17248,a),flip(a)]. given #14780 (H,wt=14): 17251 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(10234(a,1),17249(a,1,2,2))]. given #14781 (H,wt=14): 17257 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(16659(a,2),17251(a,1,2))]. given #14782 (H,wt=16): 17258 K(a(x,y,K(z,u)) * w,v5) = v5 / T(v5,w). [para(17257(a,1),4617(a,2,2))]. given #14783 (H,wt=17): 17259 K(a(x,y,K(z,u)) * w,v5) != v6 | K(w,v5) = v6. [para(17258(a,2),4697(a,1))]. given #14784 (H,wt=17): 17260 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(16659(a,1),17259(a,1,1))]. given #14785 (H,wt=14): 17261 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(17260,a,xx),flip(a)]. given #14786 (H,wt=18): 17253 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(12582(a,1),17251(a,1,2))]. given #14787 (H,wt=18): 17255 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(17251(a,1),15140(a,1,2)),flip(a)]. given #14788 (H,wt=18): 17263 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [hyper(286,a,6895,a,b,17261,a),flip(a)]. given #14789 (H,wt=14): 17266 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(15231,a,17263,a(flip)),flip(a)]. given #14790 (H,wt=14): 17268 K(x,y / a(z,u,K(w,v5))) = K(x,y). [para(12(a,1),17266(a,1,2)),flip(a)]. given #14791 (H,wt=18): 17264 K(x * (y * a(z,u,K(w,v5))),v6) = K(x * y,v6). [para(12582(a,1),17261(a,1,1))]. given #14792 (H,wt=18): 17269 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(12582(a,1),17266(a,1,2))]. given #14793 (H,wt=20): 17271 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,(y \ 1) * z). [hyper(13560,a,17269,a)]. given #14794 (H,wt=21): 17262 K(x * (y * a(z,u,K(w,v5))),v6) != v7 | K(x * y,v6) = v7. [para(12582(a,1),17260(a,1,1))]. given #14795 (H,wt=21): 17274 K(x,y \ (z * a(u,w,K(v5,v6)))) != v7 | K(x,y \ z) = v7. [para(17271(a,2),13560(a,1))]. given #14796 (H,wt=21): 17277 K(x * (a(y,z,K(u,w)) * v5),v6) != v7 | K(x * v5,v6) = v7. [para(16659(a,2),17262(a,1,1,2))]. given #14797 (H,wt=21): 17279 K(x,y \ K(z,L(u,w,v5))) != v6 | K(x,y \ K(z,u)) = v6. [para(11746(a,1),17274(a,1,2,2))]. given #14798 (H,wt=22): 17267 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [hyper(286,a,8301,a,b,17266,a),flip(a)]. given #14799 (H,wt=18): 17280 T(x,y) \ T(T(x,z),T(y,z)) != u | K(x,z) = u. [para(17267(a,1),13114(a,1))]. given #14800 (H,wt=17): 17282 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(17267(a,2),17280(a,1))]. given #14801 (H,wt=17): 17284 K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(12598(a,2),17282(a,1,2))]. given #14802 (H,wt=19): 17285 K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. [para(14220(a,1),17282(a,1,2))]. given #14803 (H,wt=21): 17283 K(x,y * (z * a(u,w,K(v5,v6)))) != v7 | K(x,y * z) = v7. [para(12582(a,1),17282(a,1,2))]. given #14804 (H,wt=23): 17265 T(x,y * ((z * u) * K(w,v5))) = T(x,y * (z * (u * K(w,v5)))). [para(81(a,1),17253(a,1,2,2))]. given #14805 (H,wt=19): 17287 T(x,K(y,z) * (u * (w * K(y,z)))) = T(x,u * w). [hyper(62,a,15255,a(flip),b,17265,a),flip(a)]. given #14806 (H,wt=23): 17270 K(x * ((y * z) * K(u,w)),v5) = K(x * (y * (z * K(u,w))),v5). [para(81(a,1),17264(a,1,1,2))]. given #14807 (H,wt=23): 17272 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(81(a,1),17269(a,1,2,2))]. given #14808 (H,wt=23): 17273 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (K(z,u) * (w * v5))). [para(14329(a,1),17269(a,1,2,2)),flip(a)]. given #14809 (H,wt=23): 17289 K(x,y * (K(z,u) * (w * v5))) = K(x,y * (w * (v5 * K(z,u)))). [hyper(15430,a,17272,a)]. given #14810 (H,wt=25): 17276 K(x * (y * (z * a(u,w,K(v5,v6)))),v7) != v8 | K(x * (y * z),v7) = v8. [para(12582(a,1),17262(a,1,1,2))]. given #14811 (H,wt=25): 17291 K(x,y / (((K(z,u) * w) * v5) \ 1)) = K(x,y * (K(z,u) * (w * v5))). [hyper(13558,a,17273,a)]. given #14812 (H,wt=25): 17293 K(x,y / ((z \ 1) * (u \ K(w,v5)))) = K(x,y * (K(v5,w) * (u * z))). [para(13625(a,1),17291(a,1,2,2))]. given #14813 (H,wt=25): 17294 K(x,y * (K(z,u) * (w * (v5 \ 1)))) = K(x,y / (v5 * (w \ K(u,z)))). [hyper(6486,a,17293,a),flip(a)]. given #14814 (H,wt=25): 17295 K(x,y * (z * ((u \ 1) * K(w,v5)))) = K(x,y / (u * (z \ K(v5,w)))). [hyper(62,a,17289,a(flip),b,17294,a)]. given #14815 (H,wt=23): 17296 K(x,y / (z * (u \ K(w,v5)))) = K(x,y * (u * (z \ K(v5,w)))). [para(13512(a,1),17295(a,1,2,2,2)),flip(a)]. given #14816 (H,wt=26): 17275 K(x * ((y * z) * K(u,w)),v5) != v6 | K(x * (y * (z * K(u,w))),v5) = v6. [para(81(a,1),17262(a,1,1,2))]. given #14817 (H,wt=26): 17278 K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). [hyper(17274,a,9500,a)]. given #14818 (H,wt=22): 17298 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). [hyper(7040,a,17278,a),flip(a)]. given #14819 (H,wt=15): 17299 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). [hyper(286,a,17268,a(flip),b,17298,a),flip(a)]. given #14820 (H,wt=15): 17300 K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). [hyper(11777,a,17299,a)]. given #14821 (H,wt=25): 17302 K(x / (a(y,z,K(u,w)) * v5),v6) = K((x / v5) * a(w,z,K(u,y)),v6). [hyper(62,a,14433,a(flip),b,17300,a)]. given #14822 (H,wt=18): 17304 K(x / (a(y,z,K(u,w)) * v5),v6) = K(x / v5,v6). [hyper(286,a,17261,a(flip),b,17302,a),flip(a)]. given #14823 (H,wt=18): 17306 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [para(16659(a,1),17304(a,1,1,2))]. given #14824 (H,wt=22): 17307 K(x,y / (z * a(u,w,K(v5,v6)))) = (v7 * K(y / z,x)) \ v7. [para(17306(a,1),6895(a,1,1,2)),flip(a)]. given #14825 (H,wt=18): 17308 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(286,a,15072,a(flip),b,17307,a),flip(a)]. given #14826 (H,wt=23): 17309 K(x,y / ((z * u) * K(w,v5))) = K(x,y / (z * (u * K(w,v5)))). [para(81(a,1),17308(a,1,2,2))]. given #14827 (H,wt=26): 17286 K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,v5)))) = v6. [para(81(a,1),17283(a,1,2,2))]. given #14828 (H,wt=26): 17290 K(x,y * (z * (u * K(w,v5)))) != v6 | K(x,y * (K(w,v5) * (z * u))) = v6. [para(17272(a,1),15430(a,1))]. given #14829 (H,wt=26): 17310 K(x,y / (z * (u * K(w,v5)))) != v6 | K(x,y * ((z * u) \ K(v5,w))) = v6. [para(17309(a,1),15467(a,1))]. given #14830 (H,wt=26): 17311 K(x,y * (K(z,u) * (w * v5))) != v6 | K(x,y * (w * (v5 * K(z,u)))) = v6. [para(15401(a,2),17286(a,1))]. given #14831 (H,wt=27): 17252 K((x * a(y,z,K(u,w))) / v5,T(v6,x)) = K(v5 \ (x * a(y,z,K(u,w))),v6). [para(17251(a,1),7729(a,1,2))]. given #14832 (H,wt=27): 17312 K(x / (y * a(z,u,K(w,v5))),T(v6,x)) = K(y \ (x * a(v5,u,K(w,z))),v6). [hyper(62,a,16694,a(flip),b,17252,a)]. given #14833 (H,wt=25): 17313 K((x * a(y,z,K(u,w))) \ v5,v6) = K(x \ (v5 * a(w,z,K(u,y))),v6). [hyper(8254,a,17312,a)]. given #14834 (H,wt=29): 16773 K((K(x,y) * z) \ u,T(w,z)) = K((K(v5,v6) * u) / (K(v5,v6) * (K(x,y) * z)),w). [hyper(15780,a,16678,a(flip))]. given #14835 (H,wt=29): 16779 K((x / T(y,z)) * u,L(w,u,y \ 1)) != v5 | K(x * ((T(y,z) \ 1) * u),w) = v5. [para(16684(a,1),13913(a,1))]. given #14836 (H,wt=29): 16840 K(x,y \ (z * (u \ y))) * K(x,K(w,u \ z)) = K(x,T(y \ (z * (u \ y)),w)). [para(16838(a,1),8093(a,1,2))]. given #14837 (H,wt=29): 16906 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * (v5 * K(w,u))) * v6)). [para(13591(a,1),16710(a,1,2,2,2,1))]. given #14838 (H,wt=29): 16997 K((x * y) * (z * K(x,T(x \ u,w))),v5) = K((T(x,T(u / x,w)) * y) * z,v5). [para(3936(a,1),16989(a,2,1,1,1))]. given #14839 (H,wt=27): 17315 K((T(x,T(y / x,z)) * u) * w,v5) = K((x * u) * (w * K(x,x \ y)),v5). [hyper(16850,a,16997,a),flip(a)]. given #14840 (H,wt=29): 17128 K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,(T(u,K(z,y)) / (y / z)) * w). [para(12056(a,1),17127(a,1,2,1,1)),flip(a)]. given #14841 (H,wt=29): 17169 K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,K(z,v5) * (v6 * y)) * K(v6,K(x,y)). [para(16092(a,1),17150(a,1,1)),flip(a)]. given #14842 (H,wt=23): 17318 K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,y * (K(v5,z) * v6)). [hyper(286,a,17150,a(flip),b,17169,a),flip(a)]. given #14843 (H,wt=23): 17319 K(x,y * (z * K(u \ K(w,v5),v6))) = K(x,y * (K(v6,u) * z)). [hyper(15453,a,17318,a)]. given #14844 (H,wt=29): 17176 K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(y \ ((u \ 1) \ x),w) * v5,v6). [hyper(15501,a,17175,a)]. given #14845 (H,wt=29): 17256 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(17251(a,1),15245(a,1,2,1))]. given #14846 (H,wt=29): 17288 K(x * ((y * (z * u)) * K(w \ u,w)),v5) = K(x * (y * (z * ((w \ u) * w))),v5). [para(10583(a,1),17270(a,2,1,2,2))]. given #14847 (H,wt=29): 17292 K(x * (y * (z * (u * a(w,v5,K(v6,v7))))),v8) != v9 | K(x * (y * (z * u)),v8) = v9. [para(12582(a,1),17276(a,1,1,2,2))]. given #14848 (H,wt=29): 17314 K(((x \ y) * x) / (a(z,u,K(w,v5)) * x),v6) = K(x \ (y * a(v5,u,K(w,z))),v6). [hyper(62,a,16671,a,b,17313,a)]. given #14849 (H,wt=22): 17321 K(x \ (y * a(z,u,K(w,v5))),v6) = K(((x \ y) * x) / x,v6). [hyper(62,a,17304,a(flip),b,17314,a),flip(a)]. given #14850 (H,wt=18): 17323 K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). [para(11(a,1),17321(a,2,1))]. given #14851 (H,wt=18): 17326 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(16659(a,2),17323(a,1,1,2))]. given #14852 (H,wt=23): 17325 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(81(a,1),17323(a,1,1,2))]. given #14853 (H,wt=19): 17328 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(16950,a,17325,a),flip(a)]. given #14854 (H,wt=16): 17329 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(210(a,1),17328(a,1,1))]. given #14855 (H,wt=16): 17330 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7984,a,17329,a)]. given #14856 (H,wt=12): 17331 K(L(x,K(y,z),u),w) = K(x,w). [hyper(15082,a,17330,a)]. given #14857 (H,wt=12): 17332 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11807,a,17331,a)]. given #14858 (H,wt=12): 17333 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11801,a,17331,a)]. given #14859 (H,wt=10): 17359 a(x,K(y,z),K(u,w)) = 1. [hyper(52,a,17333,a)]. given #14860 (H,wt=10): 17364 K(a(x,K(y,z),u),w) = 1. [hyper(62,a,13769,a(flip),b,17359,a)]. given #14861 (H,wt=14): 17347 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(17332(a,1),4659(a,2,2))]. given #14862 (H,wt=12): 17367 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(4730,a,17347,a),flip(a)]. given #14863 (H,wt=15): 17365 x * a(y,K(z,u),K(w,v5)) != v6 | x = v6. [para(17359(a,2),124(a,1,2))]. given #14864 (H,wt=15): 17366 T(a(x,K(y,z),u),w) = a(x,K(y,z),u). [hyper(55,a,17364,a)]. given #14865 (H,wt=15): 17372 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(10241(a,1),17365(a,1))]. given #14866 (H,wt=15): 17373 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(11746(a,1),17365(a,1))]. given #14867 (H,wt=19): 17339 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(62,a,15552,a(flip),b,17331,a)]. given #14868 (H,wt=19): 17340 K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). [hyper(62,a,14367,a(flip),b,17331,a)]. given #14869 (H,wt=19): 17348 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(17332(a,1),11753(a,1,2))]. given #14870 (H,wt=10): 17393 L(x,K(y,z),K(u,w)) = x. [hyper(34,a,17209,a,b,17348,a(flip))]. given #14871 (H,wt=13): 17399 L(x,K(y,z),K(u,w)) != v5 | x = v5. [para(17393(a,1),49(a,2))]. given #14872 (H,wt=19): 17369 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [para(17367(a,1),108(a,1,2))]. given #14873 (H,wt=19): 17370 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(17365,a,15691,a),flip(a)]. given #14874 (H,wt=19): 17371 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(17365,a,15236,a),flip(a)]. given #14875 (H,wt=19): 17377 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(15427,a,17339,a)]. given #14876 (H,wt=19): 17379 K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [hyper(62,a,16803,a(flip),b,17339,a)]. given #14877 (H,wt=19): 17380 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(62,a,16764,a(flip),b,17339,a)]. given #14878 (H,wt=19): 17384 K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). [hyper(15413,a,17340,a)]. given #14879 (H,wt=19): 17385 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(13762,a,17340,a),flip(a)]. given #14880 (H,wt=17): 17426 K(x * (y \ K(z,K(u,w))),v5) = K(x / y,v5). [hyper(15375,a,17385,a),flip(a)]. given #14881 (H,wt=19): 17387 K(((K(x,y) * z) / u) * K(y,x),w) = K(z / u,w). [hyper(62,a,16678,a(flip),b,17340,a),flip(a)]. given #14882 (H,wt=19): 17419 K(((K(x,y) * z) \ u) * K(x,y),w) = K(z \ u,w). [para(5846(a,1),17377(a,1,1,1)),flip(a)]. given #14883 (H,wt=19): 17428 K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). [para(5846(a,1),17387(a,1,1,1,1)),flip(a)]. given #14884 (H,wt=19): 17431 K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). [hyper(286,a,17385,a(flip),b,17428,a),flip(a)]. given #14885 (H,wt=20): 17404 K(x,y) * (K(z,u) * x) != w | K(z,u) * T(x,y) = w. [para(17370(a,1),6921(a,1))]. given #14886 (H,wt=21): 17338 K((x * y) / (x * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(62,a,16160,a(flip),b,17331,a)]. given #14887 (H,wt=21): 17355 (K(x,y) * K(z,u)) * (u \ w) = K(x,y) * (T(u,z) \ w). [para(17332(a,1),14443(a,1,1)),flip(a)]. given #14888 (H,wt=21): 17356 K(x,y) * ((y \ K(z,u)) * w) = (T(y,x) \ K(z,u)) * w. [para(17332(a,1),14599(a,1,1))]. given #14889 (H,wt=21): 17381 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(6811(a,1),17339(a,1,1,1)),flip(a)]. given #14890 (H,wt=21): 17383 K((K(x,y) * z) \ u,T(w,z)) = K((u / z) * K(y,x),w). [hyper(15780,a,17340,a)]. given #14891 (H,wt=21): 17388 K((x / (y \ z)) * K(y,u),w) = K(x / (T(y,u) \ z),w). [para(5741(a,1),17340(a,1,1,2)),flip(a)]. given #14892 (H,wt=21): 17392 x * (K(y,z) * K(u,T(w,x))) = K(u,w) * (x * K(y,z)). [hyper(62,a,15755,a(flip),b,17348,a),flip(a)]. given #14893 (H,wt=21): 17411 x * (K(y,T(z,x)) * K(u,w)) = K(y,z) * (x * K(u,w)). [hyper(62,a,15755,a(flip),b,17371,a),flip(a)]. given #14894 (H,wt=21): 17413 (x \ 1) * (K(y,z) * K(u,w)) = (x \ K(u,w)) * K(y,z). [para(13512(a,1),17371(a,1,1)),flip(a)]. given #14895 (H,wt=21): 17422 K((x \ 1) * (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [hyper(13740,a,17379,a)]. given #14896 (H,wt=21): 17423 K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). [para(6811(a,1),17379(a,1,1,2)),flip(a)]. given #14897 (H,wt=21): 17432 K(x * (y \ K(z,u)),w \ 1) = K(y * (x \ K(u,z)),w). [hyper(13868,a,17431,a)]. given #14898 (H,wt=21): 17435 K(((x * y) / x) * K(z,u),w) = K(K(z,u) * y,T(w,x)). [hyper(62,a,17384,a(flip),b,17338,a)]. given #14899 (H,wt=19): 17448 K(T(x,y) * K(z,u),w) = K(K(z,u) * x,T(w,y)). [hyper(62,a,16072,a(flip),b,17435,a)]. given #14900 (H,wt=19): 17449 K(K(x,y) * T(z,u),w) = K(K(y,x) * z,T(w,u)). [hyper(16036,a,17448,a)]. given #14901 (H,wt=21): 17439 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(16024,a,17381,a)]. given #14902 (H,wt=19): 17450 K((x * T(y,K(z,u))) \ w,v5) = K((x * y) \ w,v5). [hyper(15375,a,17439,a),flip(a)]. given #14903 (H,wt=21): 17440 K((x \ y) * K(z,u),T(w,x)) = K((y / x) * K(z,u),w). [hyper(62,a,17377,a(flip),b,17383,a)]. given #14904 (H,wt=21): 17445 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(16036,a,17423,a)]. given #14905 (H,wt=21): 17446 K(K(x,y) * (z \ (u * x)),w) = K(z \ (u * T(x,y)),w). [hyper(15094,a,17423,a)]. given #14906 (H,wt=21): 17452 K((x \ y) * K(z,u),T(w,x)) = K(y * (x \ K(z,u)),w). [hyper(286,a,17385,a(flip),b,17440,a),flip(a)]. given #14907 (H,wt=21): 17453 K((x * y) \ (z * T(x,y)),u) = K((y * x) \ (z * x),u). [para(11413(a,1),17446(a,1,1)),flip(a)]. given #14908 (H,wt=21): 17455 K(K(x,y) * (z \ u),T(w,z)) = K(u * (z \ K(y,x)),w). [hyper(16036,a,17452,a)]. given #14909 (H,wt=22): 17350 K(x,L(y,z,L(u,K(w,v5),v6))) = a(y,z,K(x,u)) * K(x,y). [para(17332(a,1),14201(a,1,1,3)),flip(a)]. given #14910 (H,wt=21): 17456 K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. [para(17350(a,2),14311(a,1))]. given #14911 (H,wt=22): 17352 K(x,y) * (K(z,u) * w) != v5 | (K(x,y) * K(z,u)) * w = v5. [para(17332(a,1),14402(a,1,1))]. given #14912 (H,wt=22): 17375 (K(x,y) * K(z,u)) * w != v5 | K(z,u) * (K(x,y) * w) = v5. [para(15691(a,1),17365(a,1))]. given #14913 (H,wt=22): 17389 K((x / y) * K(z,u),w) != v5 | K(x * (y \ K(z,u)),w) = v5. [para(17340(a,1),13762(a,1))]. given #14914 (H,wt=22): 17451 K((x * T(y,K(z,u))) \ w,v5) != v6 | K((x * y) \ w,v5) = v6. [para(17439(a,1),15375(a,1))]. given #14915 (H,wt=22): 17457 K(x,T(y,z)) * u != w | K(z,K(y,x)) * (K(x,y) * u) = w. [para(7962(a,1),17375(a,1,1))]. given #14916 (H,wt=23): 17346 K(x,K(y,z) \ ((u / (y * z)) \ w)) = K(x,(u / (z * y)) \ w). [hyper(62,a,14611,a(flip),b,17332,a)]. given #14917 (H,wt=23): 17353 (K(x,y) * (x \ K(z,u))) * w = K(x,y) * ((x \ K(z,u)) * w). [para(17332(a,1),14444(a,1,1)),flip(a)]. given #14918 (H,wt=23): 17420 K((((x * y) / x) * z) \ u,w) = K(((y * z) \ u) * K(y,x),w). [para(5840(a,1),17377(a,1,1,1))]. given #14919 (H,wt=23): 17436 K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). [para(14185(a,1),17355(a,1,1)),flip(a)]. given #14920 (H,wt=23): 17441 K(x,y / z) * (y * K(u,w)) = y * (K(u,w) * K(x,z \ y)). [para(7712(a,1),17392(a,1,2,2)),flip(a)]. given #14921 (H,wt=23): 17442 K(x / y,z) * (x * K(u,w)) = x * (K(u,w) * K(y \ x,z)). [para(7729(a,1),17392(a,1,2,2)),flip(a)]. given #14922 (H,wt=21): 17462 x * (K(y,z) * K(y \ x,u)) = T(x / y,u) * T(y,z). [hyper(6867,a,17442,a),flip(a)]. given #14923 (H,wt=21): 17463 x * (K(y \ x,z) * K(y,u)) = T(x / y,z) * T(y,u). [hyper(15088,a,17462,a)]. given #14924 (H,wt=23): 17443 K(x \ y,z) * (y * K(u,w)) = y * (K(y / x,z) * K(u,w)). [para(8158(a,1),17411(a,1,2,1)),flip(a)]. given #14925 (H,wt=23): 17459 K(x,K(y,z) * ((u / (z * y)) \ w)) = K(x,(u / (y * z)) \ w). [para(5839(a,1),17346(a,1,2))]. given #14926 (H,wt=24): 17327 T(x,y \ (a(z,u,K(w,v5)) * v6)) = (x * v7) / (K(y \ v6,x) * v7). [para(17326(a,1),5746(a,1,2,1)),flip(a)]. given #14927 (H,wt=18): 17464 T(x,y \ (a(z,u,K(w,v5)) * v6)) = T(x,y \ v6). [hyper(286,a,5746,a(flip),b,17327,a),flip(a)]. given #14928 (H,wt=24): 17424 K(((x \ 1) \ y) * K(z,u),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(17379(a,1),13551(a,1))]. given #14929 (H,wt=25): 17406 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (K(a(x,y,z),u) * v6). [para(13769(a,2),17370(a,1,1,1))]. given #14930 (H,wt=25): 17414 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). [para(13769(a,2),17371(a,1,1,2))]. given #14931 (H,wt=25): 17415 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(13769(a,2),17371(a,1,2))]. given #14932 (H,wt=25): 17417 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(T(y,u),z),v5). [hyper(62,a,13799,a,b,17377,a)]. given #14933 (H,wt=23): 17469 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). [hyper(286,a,15434,a(flip),b,17417,a),flip(a)]. given #14934 (H,wt=21): 17471 K((x \ K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). [para(13512(a,1),17469(a,1,1,1))]. given #14935 (H,wt=19): 17472 K((x \ K(y,z)) * u,w) = K((x \ u) * K(y,z),w). [para(107(a,1),17471(a,1,1,1,2,2))]. given #14936 (H,wt=19): 17474 K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w). [hyper(286,a,16010,a,b,17472,a),flip(a)]. given #14937 (H,wt=19): 17478 K(K(x,y) * (z \ (K(x,y) * u)),w) = K(z \ u,w). [hyper(62,a,16978,a(flip),b,17474,a),flip(a)]. given #14938 (H,wt=21): 17473 K((x \ y) * K(z,u),T(w,y)) = K(y * (x \ K(z,u)),w). [hyper(12102,a,17472,a),flip(a)]. given #14939 (H,wt=21): 17477 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(y,x)),w). [hyper(12102,a,17474,a),flip(a)]. given #14940 (H,wt=21): 17483 K(K(x,y) * ((z \ 1) \ u),w) = K((z * K(y,x)) * u,w). [para(13487(a,1),17474(a,1,1,1)),flip(a)]. given #14941 (H,wt=21): 17485 K(K(x,y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). [para(5715(a,1),17478(a,1,1,2,2))]. given #14942 (H,wt=21): 17486 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x) * u),w). [hyper(286,a,16980,a(flip),b,17483,a),flip(a)]. given #14943 (H,wt=22): 17476 K((x \ K(y,z)) * u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. [para(17472(a,2),16036(a,1))]. given #14944 (H,wt=23): 17480 (x * K(K(y,z) * (u \ w),v5)) \ x = K(v5,(u \ K(z,y)) * w). [para(17474(a,1),6895(a,1,1,2))]. given #14945 (H,wt=19): 17492 K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). [hyper(15158,a,17480,a),flip(a)]. given #14946 (H,wt=23): 17487 K(K(x,x \ y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). [hyper(15297,a,17485,a)]. given #14947 (H,wt=21): 17495 K(x \ (T(y,y \ z) \ u),w) = K(x \ (T(y,z) \ u),w). [hyper(62,a,17485,a(flip),b,17487,a)]. given #14948 (H,wt=21): 17496 K(x \ (((y \ z) \ z) \ u),w) = K(x \ (T(y,z) \ u),w). [para(109(a,1),17495(a,1,1,2,1))]. given #14949 (H,wt=23): 17489 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y \ 1,x) * u),w). [hyper(14807,a,17486,a)]. given #14950 (H,wt=23): 17490 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(x \ y,x) * u),w). [hyper(62,a,13161,a(flip),b,17486,a)]. given #14951 (H,wt=21): 17499 K(x * (K(y \ z,y) * u),w) = K(x * (K(z,y) * u),w). [hyper(62,a,17486,a(flip),b,17490,a),flip(a)]. given #14952 (H,wt=23): 17497 K((x \ 1) \ (T(y,z) \ u),w) = K(x * (((y \ z) \ z) \ u),w). [hyper(13551,a,17496,a),flip(a)]. given #14953 (H,wt=21): 17502 K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(13551,a,17497,a),flip(a)]. given #14954 (H,wt=23): 17498 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x \ 1) * u),w). [para(6458(a,1),17489(a,2,1,2,1))]. given #14955 (H,wt=21): 17504 K(x * (K(y,z \ 1) * u),w) = K(x * (K(y,z) * u),w). [hyper(62,a,17486,a(flip),b,17498,a),flip(a)]. given #14956 (H,wt=23): 17500 K((x * ((y \ z) * y)) * u,w) = K((x * z) * (K(z,y) * u),w). [hyper(62,a,16984,a(flip),b,17499,a)]. given #14957 (H,wt=21): 17506 K((x * ((y \ z) * y)) * u,w) = K((x * T(z,y)) * u,w). [hyper(286,a,16983,a(flip),b,17500,a),flip(a)]. given #14958 (H,wt=23): 17501 K(x * (K(y,z) * (u * y)),w) = K(x * (u * ((z \ y) * z)),w). [hyper(62,a,15384,a(flip),b,17499,a),flip(a)]. given #14959 (H,wt=21): 17507 K(x * (y * ((z \ u) * z)),w) = K(x * (y * T(u,z)),w). [hyper(62,a,15383,a(flip),b,17501,a),flip(a)]. given #14960 (H,wt=23): 17505 K(((x \ 1) * y) * (K(y,x) * z),u) = K((y * (x \ 1)) * z,u). [para(11381(a,1),17504(a,1,1)),flip(a)]. given #14961 (H,wt=21): 17508 K(((x \ 1) * T(y,x)) * z,u) = K((y * (x \ 1)) * z,u). [hyper(62,a,16983,a(flip),b,17505,a)]. given #14962 (H,wt=23): 17510 K((x * T(y,x \ 1)) * z,u) = K((y * ((x \ 1) \ 1)) * z,u). [para(4893(a,1),17508(a,1,1,1,1))]. given #14963 (H,wt=24): 17475 K((x \ y) * K(z,u),T(w,y)) != v5 | K(y * (x \ K(z,u)),w) = v5. [para(17472(a,1),12102(a,1))]. given #14964 (H,wt=24): 17482 K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(y,x)),w) = v5. [para(17474(a,1),12102(a,1))]. given #14965 (H,wt=24): 17491 K((x * K(y,z)) * u,w) != v5 | K(K(z,y) * ((x \ 1) \ u),w) = v5. [para(13487(a,1),17476(a,1,1,1))]. given #14966 (H,wt=25): 17465 T(x,x \ y) = (x \ (a(z,u,K(w,v5)) * y)) \ (a(z,u,K(w,v5)) * y). [hyper(640,a,17464,a),flip(a)]. given #14967 (H,wt=25): 17466 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (a(x,y,K(z,u)) * v6). [para(13769(a,2),17406(a,2,2,1))]. given #14968 (H,wt=25): 17467 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). [para(13769(a,2),17414(a,2,2,2))]. given #14969 (H,wt=25): 17468 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(13769(a,2),17415(a,2,2,1))]. given #14970 (H,wt=25): 17479 (x * y) / (K(K(z,u) * (w \ v5),x) * y) = T(x,(w \ K(u,z)) * v5). [para(17474(a,1),5746(a,1,2,1))]. given #14971 (H,wt=19): 17514 T(x,(y \ K(z,u)) * w) = T(x,K(u,z) * (y \ w)). [hyper(5878,a,17479,a),flip(a)]. given #14972 (H,wt=19): 17515 T(x,(K(y,z) / u) * w) = T(x,K(z,y) * (u \ w)). [hyper(62,a,15389,a(flip),b,17514,a)]. given #14973 (H,wt=25): 17493 K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,K(w,u) * (y \ x)). [hyper(62,a,15962,a,b,17492,a)]. given #14974 (H,wt=25): 17494 K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,w * (u \ K(z,y))). [para(17492(a,1),15963(a,1,1))]. given #14975 (H,wt=25): 17509 K(((T(x,y) \ 1) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). [hyper(62,a,16818,a(flip),b,17508,a)]. given #14976 (H,wt=25): 17516 K(x,K(y,z)) * K(x,y * (z \ K(u,w))) = K(x,K(w,u) * (z \ y)). [para(8060(a,1),17493(a,1,1))]. given #14977 (H,wt=26): 17349 (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). [para(17332(a,1),11841(a,1,2)),flip(a)]. given #14978 (H,wt=26): 17376 K(x,T(y \ (z * K(u,w)),v5)) != v6 | K(x,T((z \ y) \ K(u,w),v5)) = v6. [para(9850(a,1),17372(a,1))]. given #14979 (H,wt=26): 17382 K(((x * y) \ z) * K(L(u,y,x),w),v5) = K((x * (y * K(w,u))) \ z,v5). [para(11753(a,1),17339(a,1,1,1)),flip(a)]. given #14980 (H,wt=23): 17521 K((x * (y * K(z,u))) \ w,v5) = K(((x * y) \ w) * K(u,z),v5). [hyper(17089,a,17382,a),flip(a)]. given #14981 (H,wt=26): 17390 K((x / (y * z)) * K(L(u,y,z),w),v5) = K(x / ((K(w,u) * y) * z),v5). [para(14399(a,1),17340(a,1,1,2)),flip(a)]. given #14982 (H,wt=23): 17525 K(x / ((K(y,z) * u) * w),v5) = K((x / (u * w)) * K(z,y),v5). [hyper(17089,a,17390,a),flip(a)]. given #14983 (H,wt=23): 17526 K(x / ((K(y,z) * u) * w),v5) = K(x * ((u * w) \ K(z,y)),v5). [hyper(286,a,17385,a(flip),b,17525,a),flip(a)]. given #14984 (H,wt=25): 17527 K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x * ((z * y) \ K(u,w)),v5). [hyper(62,a,13817,a,b,17526,a)]. given #14985 (H,wt=22): 17528 K(x * ((y * x) \ K(z,u)),w) != v5 | K(y \ K(z,u),w) = v5. [para(17527(a,1),13546(a,1))]. given #14986 (H,wt=26): 17425 K((x / (y * z)) * K(L(u,z,y),w),v5) = K(x / (y * (z * K(w,u))),v5). [para(11753(a,1),17384(a,1,1,2)),flip(a)]. given #14987 (H,wt=23): 17529 K(x / (y * (z * K(u,w))),v5) = K((x / (y * z)) * K(w,u),v5). [hyper(17089,a,17425,a),flip(a)]. given #14988 (H,wt=23): 17530 K(x / (y * (z * K(u,w))),v5) = K(x * ((y * z) \ K(w,u)),v5). [hyper(286,a,17385,a(flip),b,17529,a),flip(a)]. given #14989 (H,wt=25): 17532 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x * ((u * x) \ K(z,y)),w). [hyper(62,a,15385,a,b,17530,a)]. given #14990 (H,wt=26): 17522 K((x * (y * K(z,u))) \ w,v5) != v6 | K(((x * y) \ w) * K(u,z),v5) = v6. [para(17382(a,1),17089(a,1))]. given #14991 (H,wt=27): 17407 K(K(x,T(y,z)) * (K(u,T(w,v5)) * v6),v7) = K(K(x,y) * (v6 * K(u,w)),v7). [para(17370(a,1),16994(a,1,1))]. given #14992 (H,wt=25): 17534 K(K(x,T(y,z)) * (K(u,w) * v5),v6) = K(K(x,y) * (v5 * K(u,w)),v6). [hyper(16848,a,17407,a)]. given #14993 (H,wt=23): 17535 K(K(x,y) * (z * K(u,y)),w) = K(y * (T(T(y,u),x) \ z),w). [hyper(62,a,17157,a(flip),b,17534,a),flip(a)]. given #14994 (H,wt=27): 17421 K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ 1)) * (z * K(u,w)),v5). [hyper(13741,a,17379,a),flip(a)]. given #14995 (H,wt=27): 17427 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(u / w,y)) * K(x,y). [para(17426(a,1),14200(a,1,1,3)),flip(a)]. given #14996 (H,wt=27): 17433 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K(y * (x \ K(u,z)),T(w,y)). [hyper(62,a,15994,a(flip),b,17431,a)]. given #14997 (H,wt=25): 17537 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((x \ K(u,z)) * y,w). [hyper(286,a,12087,a(flip),b,17433,a),flip(a)]. given #14998 (H,wt=21): 17538 K(1 / ((x \ K(y,z)) * u),w) = K((u \ K(z,y)) * x,w). [para(4888(a,1),17537(a,1,1,1))]. given #14999 (H,wt=21): 17539 K((x \ K(y,z)) * u,w \ 1) = K((u \ K(z,y)) * x,w). [hyper(6482,a,17538,a)]. given #15000 (H,wt=21): 17541 K(K(x,y) * (z \ u),w \ 1) = K((u \ K(x,y)) * z,w). [hyper(17476,a,17539,a)]. given #15001 (H,wt=19): 17542 K((x \ y) \ K(z,u),w) = K((y \ K(z,u)) * x,w). [hyper(16031,a,17541,a)]. given #15002 (H,wt=19): 17543 K((x \ y) \ K(z,u),w) = K(K(u,z) * (y \ x),w). [hyper(286,a,17474,a(flip),b,17542,a),flip(a)]. given #15003 (H,wt=27): 17517 K(x,y * K(z,K(u,w) * (v5 \ v6))) = K(x,y * K(z,v6 * (v5 \ K(w,u)))). [para(17493(a,1),15404(a,1,2,2))]. given #15004 (H,wt=23): 17545 K(x,y * K(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * y). [hyper(16006,a,17517,a),flip(a)]. given #15005 (H,wt=25): 17546 K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * (y \ z)). [hyper(62,a,15284,a(flip),b,17545,a)]. given #15006 (H,wt=23): 17547 K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,y \ T(z,w \ u)). [hyper(286,a,15259,a(flip),b,17546,a),flip(a)]. given #15007 (H,wt=27): 17523 K(T(x * (y * K(z,u)),K(w,v5)) \ v6,v7) = K(((x * y) \ v6) * K(u,z),v7). [hyper(15425,a,17521,a)]. given #15008 (H,wt=27): 17524 K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * T(u,K(y,z))) \ w,v5). [para(8118(a,1),17521(a,1,1,1,2)),flip(a)]. given #15009 (H,wt=23): 17550 K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * u) \ w,v5). [hyper(286,a,17450,a(flip),b,17524,a),flip(a)]. given #15010 (H,wt=23): 17553 K((x * (K(y,z) * u)) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). [para(5846(a,1),17550(a,1,1,1,1,2)),flip(a)]. given #15011 (H,wt=25): 17552 K(((x * (y * z)) \ u) * K(w,y),v5) = K((x * (T(y,w) * z)) \ u,v5). [para(4644(a,1),17550(a,1,1,1,1,2))]. given #15012 (H,wt=25): 17556 K(K(x,y) * ((z * (y * u)) \ w),v5) = K((z * (T(y,x) * u)) \ w,v5). [hyper(15094,a,17552,a)]. given #15013 (H,wt=28): 17503 K(x * (((y \ z) \ z) \ L(u,y \ 1,y)),w) = K(x * ((T(y,z) \ 1) * u),w). [para(6514(a,1),17502(a,2,1,2))]. given #15014 (H,wt=25): 17557 K(x * ((T(y,y \ z) \ 1) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [para(6517(a,1),17503(a,1,1,2))]. given #15015 (H,wt=29): 17317 K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,T(u / (y / z),K(z,y)) * w). [para(12175(a,2),17128(a,2,2,1))]. given #15016 (H,wt=28): 17558 K(x,((y / z) \ (u * K(z \ y,u))) * w) != v5 | K(x,(u / (y / z)) * w) = v5. [para(17317(a,2),15415(a,1))]. given #15017 (H,wt=29): 17320 K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(((x \ 1) / u) * y,w) * v5,v6). [hyper(286,a,14811,a(flip),b,17176,a),flip(a)]. given #15018 (H,wt=27): 17559 K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / T(z,v6)) * y) * w,v5). [hyper(62,a,17088,a(flip),b,17320,a),flip(a)]. given #15019 (H,wt=25): 17560 K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / z) * y) * w,v5). [para(107(a,1),17559(a,2,1,1,2,1,2))]. given #15020 (H,wt=25): 17561 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(y / z) * x) * w,v5). [hyper(16096,a,17560,a)]. given #15021 (H,wt=25): 17562 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(z \ y) * x) * w,v5). [hyper(286,a,16127,a,b,17561,a),flip(a)]. given #15022 (H,wt=25): 17563 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,x * (z \ y)) * w,v5). [hyper(286,a,15439,a,b,17562,a),flip(a)]. given #15023 (H,wt=28): 17564 K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,x * (z \ y)) * w,v5) = v6. [para(17562(a,2),15478(a,1))]. given #15024 (H,wt=28): 17565 K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,(z \ y) * x) * w,v5) = v6. [para(17563(a,2),15478(a,1))]. given #15025 (H,wt=26): 17567 K(K(x,(y / z) * u) * w,v5) != v6 | K(K(x,(z \ y) * u) * w,v5) = v6. [para(17561(a,1),17565(a,1))]. given #15026 (H,wt=28): 17566 K(K(x,(y \ (z \ 1)) * u) * w,v5) != v6 | K(K(x,(u \ z) * y) * w,v5) = v6. [para(16011(a,1),17565(a,1))]. given #15027 (H,wt=29): 17418 K((K(x,y) * z) / (K(x,y) * (K(u,w) * v5)),v6) = K((v5 \ z) * K(w,u),T(v6,v5)). [hyper(62,a,16773,a(flip),b,17377,a)]. given #15028 (H,wt=29): 17429 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),T(x,z)),v7) = K(v5 / v6,v7). [para(7791(a,1),17387(a,1,1,2))]. given #15029 (H,wt=27): 17569 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),x),v7) = K(v5 / v6,v7). [hyper(15428,a,17429,a)]. given #15030 (H,wt=24): 17570 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(y,x),v7) = K(v5 / v6,v7). [hyper(17089,a,17569,a)]. given #15031 (H,wt=24): 17571 K((K(x,L(T(y,z),u,w)) * v5) * (v6 \ K(y,x)),v7) = K(v5 / v6,v7). [hyper(17389,a,17570,a)]. given #15032 (H,wt=24): 17572 K(x * ((y \ K(z,u)) * K(u,L(T(z,w),v5,v6))),v7) = K(x / y,v7). [hyper(16998,a,17571,a)]. given #15033 (H,wt=22): 17573 K(x * ((y \ K(z,u)) * K(u,L(z,w,v5))),v6) = K(x / y,v6). [para(107(a,1),17572(a,1,1,2,2,2,1))]. given #15034 (H,wt=29): 17484 a(x,y,K(K(z,u) * (w \ v5),v6)) * K(x,v6) = K(x,L(v6,y,(w \ K(u,z)) * v5)). [para(17474(a,1),14200(a,1,1,3))]. given #15035 (H,wt=25): 17574 K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,K(v5,w) * (u \ v6))). [hyper(14251,a,17484,a),flip(a)]. given #15036 (H,wt=25): 17576 K(x,L(y,z,K(u,w) * (w \ v5))) = K(x,L(y,z,K(w,u) * (w \ v5))). [hyper(62,a,14507,a(flip),b,17574,a),flip(a)]. given #15037 (H,wt=23): 17577 K(x,L(y,z,K(u,w) * (u \ v5))) = K(x,L(y,z,T(u,w) \ v5)). [para(5741(a,1),17576(a,1,2,3)),flip(a)]. given #15038 (H,wt=23): 17578 K(x,L(y,z,(u \ w) * K(u,v5))) = K(x,L(y,z,T(u,v5) \ w)). [para(16686(a,1),17577(a,1,2))]. given #15039 (H,wt=28): 17575 K(x,L(y,z,(u \ K(w,v5)) * v6)) != v7 | K(x,L(y,z,K(v5,w) * (u \ v6))) = v7. [para(17484(a,1),14251(a,1))]. given #15040 (H,wt=29): 17511 K((T(x,y) * T(z,T(x \ 1,y))) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). [para(8643(a,2),17510(a,1,1,1,2))]. given #15041 (H,wt=27): 17579 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). [hyper(62,a,16818,a(flip),b,17511,a)]. given #15042 (H,wt=23): 17581 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * T(x,y)) * u,w). [para(4893(a,1),17579(a,2,1,1,2))]. given #15043 (H,wt=29): 17549 K(T(x * (T(y,x) * K(z,u)),K(w,v5)) \ v6,v7) = K(((y * x) \ v6) * K(u,z),v7). [para(108(a,1),17523(a,2,1,1,1))]. given #15044 (H,wt=23): 17582 K(((K(x,y) * z) * u) \ w,v5) = K(((z * u) \ w) * K(y,x),v5). [para(16944(a,1),17549(a,1,1,1))]. given #15045 (H,wt=25): 17584 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * x) \ w) * K(z,u),v5). [hyper(62,a,13802,a,b,17582,a)]. given #15046 (H,wt=23): 17586 K(((x * K(y,z)) * u) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). [hyper(62,a,15650,a(flip),b,17584,a)]. given #15047 (H,wt=25): 17585 K((((x * y) * z) \ u) * K(w,x),v5) = K(((T(x,w) * y) * z) \ u,v5). [para(4675(a,1),17582(a,1,1,1,1)),flip(a)]. given #15048 (H,wt=25): 17587 K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ K(u,w))) * z,v5). [para(4893(a,1),17584(a,1,1,1,1)),flip(a)]. given #15049 (H,wt=25): 17588 K(((x * y) \ x) * K(z,u),T(w,y)) = K(x * ((y * x) \ K(z,u)),w). [hyper(62,a,17532,a(flip),b,17586,a),flip(a)]. given #15050 (H,wt=23): 17591 K(K(x,y) * ((z * u) \ z),w) = K(z * ((u * z) \ K(x,y)),w). [hyper(12208,a,17588,a)]. given #15051 (H,wt=22): 17592 K(K(x,y) * ((z * u) \ z),w) != v5 | K(u \ K(x,y),w) = v5. [para(17591(a,2),17528(a,1))]. given #15052 (H,wt=24): 17593 K(x * ((x * y) \ K(z,u)),w) != v5 | K(y \ K(u,z),T(w,x)) = v5. [para(17477(a,1),17592(a,1))]. given #15053 (H,wt=25): 17589 K((((x * y) * z) \ u) * K(w,y),v5) = K(((x * T(y,w)) * z) \ u,v5). [para(6811(a,1),17586(a,1,1,1,1)),flip(a)]. given #15054 (H,wt=25): 17590 K((x * (y \ 1)) * (z * K(u,w)),v5) = K((x * (y \ K(u,w))) * z,v5). [hyper(62,a,17421,a(flip),b,17587,a)]. given #15055 (H,wt=29): 17554 K(((x * (y * z)) \ u) * K(w,w \ y),v5) = K((x * (((w \ y) * w) * z)) \ u,v5). [para(11382(a,1),17553(a,1,1,1,2)),flip(a)]. given #15056 (H,wt=27): 17594 K((x * (((y \ z) * y) * u)) \ w,v5) = K(K(y,z) * ((x * (z * u)) \ w),v5). [hyper(62,a,15226,a(flip),b,17554,a),flip(a)]. given #15057 (H,wt=25): 17595 K((x * (((y \ z) * y) * u)) \ w,v5) = K((x * (T(z,y) * u)) \ w,v5). [hyper(286,a,17556,a(flip),b,17594,a),flip(a)]. given #15058 (H,wt=30): 16673 K(x,(a(y,z,u) \ w) * K(v5,a(y,z,u) \ 1)) = K(x,w / T(a(y,z,u),v5 \ 1)). [para(9999(a,1),16651(a,1,2))]. given #15059 (H,wt=28): 17596 K(x,(a(y,z,u) \ w) * a(u,z,K(v5,y))) = K(x,w / T(a(y,z,u),v5 \ 1)). [para(14275(a,1),16673(a,1,2,2))]. given #15060 (H,wt=21): 17597 K(x,y / T(a(z,u,w),v5 \ 1)) = K(x,a(z,u,w) \ y). [hyper(17282,a,17596,a),flip(a)]. given #15061 (H,wt=19): 17599 K(x,y / T(a(z,u,w),v5)) = K(x,a(z,u,w) \ y). [para(76(a,1),17597(a,1,2,2,2))]. given #15062 (H,wt=30): 16700 K(L(x,y,T(z,u)),w) * K(w,L(L(x,y,T(z,u)),v5,v6)) = a(w,v5,K(v6,L(x,y,z))). [para(16683(a,1),14184(a,2,3))]. given #15063 (H,wt=30): 16737 K(x,L(y,z * x,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(286,a,11751,a(flip),b,16698,a),flip(a)]. given #15064 (H,wt=28): 17603 K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(11810,a,16737,a)]. given #15065 (H,wt=26): 17604 K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / (z * T(x,y))) * (z * x)) \ u. [para(6811(a,1),17603(a,2,1,1,2))]. given #15066 (H,wt=30): 16747 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(w * (T(u,w) * z)) \ v5)). [para(437(a,1),16595(a,1,2,2,1)),flip(a)]. given #15067 (H,wt=30): 16898 K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) / K(z,u),w). [para(16895(a,1),8166(a,1,1,1)),flip(a)]. given #15068 (H,wt=30): 16901 K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K((K(y * x,x) * z) * u,w). [para(16895(a,1),16027(a,1,1)),flip(a)]. given #15069 (H,wt=30): 16910 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = (x * K(z,T(u,y * x))) * y. [hyper(62,a,15278,a,b,16760,a)]. given #15070 (H,wt=30): 16935 L(K(x,K(y,z)) * ((u * w) \ v5),K(v6,K(v7,v8)),v9) = (u * (w * K(x,K(y,z)))) \ v5. [hyper(286,a,16828,a,b,16930,a)]. given #15071 (H,wt=26): 17609 (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. [para(16935(a,1),335(a,1)),flip(b)]. given #15072 (H,wt=30): 16940 (a(x,y,K(z,u)) * w) * K(w / a(u,y,K(z,x)),v5) = T(a(u,y,K(z,x)) \ w,v5). [para(14197(a,1),16675(a,1,1))]. given #15073 (H,wt=30): 16943 K(x * (y * K(z,L(T(u,w),v5,v6))),v7) != v8 | K(x * (y * K(z,L(u,v5,v6))),v7) = v8. [para(25(a,2),16850(a,1,1,2,2,2))]. given #15074 (H,wt=30): 17548 K(x,(y / (K(z,u) * w)) \ T(v5,w \ y)) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. [para(17547(a,1),13832(a,1))]. given #15075 (H,wt=30): 17583 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((x * w) \ w) * K(y,z),u). [hyper(62,a,16216,a,b,17582,a)]. given #15076 (H,wt=30): 17602 K(x,L(y,z,T(u,w))) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). [para(11780(a,1),16700(a,1,1))]. given #15077 (H,wt=28): 17613 K(x,L(y,z,u)) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). [para(16683(a,1),17602(a,1,1))]. given #15078 (H,wt=26): 17615 K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) = a(y,w,K(v5,L(x,z,u))). [para(16697(a,1),17613(a,1,2))]. given #15079 (H,wt=19): 17616 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(14310,a,17615,a)]. given #15080 (H,wt=19): 17617 a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(62,a,14447,a,b,17616,a)]. given #15081 (H,wt=11): 17618 a(R(x,y,z),x,K(u,w)) = 1. [hyper(286,a,14173,a(flip),b,17617,a),flip(a)]. given #15082 (H,wt=13): 17619 L(K(x,y),z,R(z,u,w)) = K(x,y). [hyper(51,a,17618,a)]. given #15083 (H,wt=13): 17620 K(x,L(y,z,R(z,u,w))) = K(x,y). [hyper(11777,a,17619,a)]. given #15084 (H,wt=13): 17621 K(x,L(y,z,L(z,u,w))) = K(x,y). [hyper(14490,a,17620,a)]. given #15085 (H,wt=30): 17605 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(T(u,w) * z) \ (w \ v5))). [hyper(286,a,16595,a(flip),b,16747,a),flip(a)]. given #15086 (H,wt=28): 17622 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). [hyper(286,a,16880,a(flip),b,17605,a),flip(a)]. given #15087 (H,wt=26): 17624 K(x,K(y,L(z,u,w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). [para(11390(a,1),17622(a,1,2,2,1))]. given #15088 (H,wt=30): 17606 K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) * K(u,z),w). [para(6892(a,1),16898(a,2,1))]. given #15089 (H,wt=26): 17625 K(((K(x,y) * z) * u) * K(y,x),w) = K(z * (u * a(x,z,K(u,y))),w). [hyper(15082,a,17606,a),flip(a)]. given #15090 (H,wt=19): 17627 K(((K(x,y) * z) * u) * K(y,x),w) = K(z * u,w). [hyper(286,a,17264,a(flip),b,17625,a),flip(a)]. given #15091 (H,wt=21): 17629 K(((x * y) * z) * K(x,u),w) = K((T(x,u) * y) * z,w). [para(4644(a,1),17627(a,1,1,1,1))]. given #15092 (H,wt=17): 17631 K((T(x,y) * y) * z,u) = K((y * x) * z,u). [hyper(62,a,16019,a(flip),b,17629,a),flip(a)]. given #15093 (H,wt=19): 17634 K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). [para(110(a,1),17631(a,1,1,1,1))]. given #15094 (H,wt=17): 17640 K(((x \ y) * x) * z,u) = K(T(y,x) * z,u). [hyper(286,a,16071,a(flip),b,17634,a),flip(a)]. given #15095 (H,wt=21): 17630 K(K(x,y) * ((x * z) * u),w) = K((T(x,y) * z) * u,w). [hyper(15094,a,17629,a)]. given #15096 (H,wt=21): 17632 K((x * y) * z,T(u,x * y)) = K(z * (T(y,x) * x),u). [hyper(12134,a,17631,a),flip(a)]. given #15097 (H,wt=17): 17641 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [hyper(12095,a,17632,a),flip(a)]. given #15098 (H,wt=19): 17643 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [para(110(a,1),17641(a,1,1,2,1))]. given #15099 (H,wt=17): 17646 K(x * ((y \ z) * y),u) = K(x * T(z,y),u). [hyper(286,a,16129,a(flip),b,17643,a),flip(a)]. given #15100 (H,wt=17): 17647 K(x * T(y * z,y),u) = K(x * (z * y),u). [para(9(a,1),17646(a,1,1,2,1)),flip(a)]. given #15101 (H,wt=20): 17642 K(x * (T(y,z) * z),u) != w | K(x * (z * y),u) = w. [para(17632(a,1),12095(a,1))]. given #15102 (H,wt=21): 17633 K((T(x,y) * T(y,z)) * u,w) = K((T(y,z) * x) * u,w). [hyper(62,a,15464,a(flip),b,17631,a)]. given #15103 (H,wt=21): 17650 K(x * T((y \ 1) * z,y),u) = K(x * (z * (y \ 1)),u). [hyper(15626,a,17647,a)]. given #15104 (H,wt=21): 17651 K(K(x,y) * (z * u),T(w,z)) = K(K(y,x) * (u * z),w). [hyper(62,a,17449,a(flip),b,17647,a)]. given #15105 (H,wt=23): 17648 K(x * T(y * K(z,u),z),w) = K(x * ((z \ y) * T(z,u)),w). [para(7647(a,1),17646(a,1,1,2)),flip(a)]. given #15106 (H,wt=27): 17635 K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(((x \ 1) * (x * y)) * z,u). [para(3892(a,1),17631(a,1,1,1,1))]. given #15107 (H,wt=26): 17653 K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). [para(4913(a,1),17635(a,2,1,1))]. given #15108 (H,wt=27): 17636 K((T(x,T(y,z)) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). [para(8316(a,1),17631(a,1,1,1,1))]. given #15109 (H,wt=25): 17654 K((T(x,y) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). [hyper(62,a,15464,a(flip),b,17636,a)]. given #15110 (H,wt=27): 17638 K((T(x,y * z) * T(z * y,y)) * u,w) = K((T(z * y,y) * x) * u,w). [para(12065(a,1),17631(a,1,1,1,1))]. given #15111 (H,wt=27): 17639 K((T(x,T(y,z)) * ((z \ y) * z)) * u,w) = K((((z \ y) * z) * x) * u,w). [para(12110(a,1),17631(a,1,1,1,1))]. given #15112 (H,wt=25): 17656 K((T(x,T(y,z)) * T(y,z)) * u,w) = K((((z \ y) * z) * x) * u,w). [hyper(62,a,17506,a(flip),b,17639,a)]. given #15113 (H,wt=21): 17657 K((((x \ y) * x) * z) * u,w) = K((T(y,x) * z) * u,w). [hyper(62,a,17631,a(flip),b,17656,a),flip(a)]. given #15114 (H,wt=27): 17644 K(x * (T(y,T(z,u)) * ((u \ z) * u)),w) = K(x * (((u \ z) * u) * y),w). [para(12110(a,1),17641(a,1,1,2,1))]. given #15115 (H,wt=25): 17660 K(x * (T(y,T(z,u)) * T(z,u)),w) = K(x * (((u \ z) * u) * y),w). [hyper(62,a,17507,a(flip),b,17644,a)]. given #15116 (H,wt=21): 17661 K(x * (((y \ z) * y) * u),w) = K(x * (T(z,y) * u),w). [hyper(17642,a,17660,a),flip(a)]. given #15117 (H,wt=24): 17662 K(x * (((y \ z) * y) * u),w) != v5 | K(x * (T(z,y) * u),w) = v5. [para(17660(a,1),17642(a,1))]. given #15118 (H,wt=29): 17637 K((T(K(x \ y,x),z * y) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). [para(10583(a,1),17631(a,2,1,1))]. given #15119 (H,wt=29): 17663 K((K(x \ y,T(x,z * y)) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). [para(7723(a,2),17637(a,1,1,1,1))]. given #15120 (H,wt=30): 17607 K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K(z * (u * K(y * x,x)),w). [hyper(286,a,16985,a(flip),b,16901,a),flip(a)]. given #15121 (H,wt=21): 17664 K(x * (y * K(z * u,u)),w) = K(K(u,z) * (x * y),w). [hyper(17276,a,17607,a),flip(a)]. given #15122 (H,wt=24): 17665 K(x * (y * K(z * u,u)),w) != v5 | K(K(u,z) * (x * y),w) = v5. [para(17607(a,1),17276(a,1))]. given #15123 (H,wt=25): 17666 K(x * (y * (z * K(u * w,w))),v5) = K(K(w,u) * (x * (y * z)),v5). [hyper(17275,a,17664,a)]. given #15124 (H,wt=25): 17667 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,x) \ u),w). [hyper(62,a,17200,a(flip),b,17664,a),flip(a)]. given #15125 (H,wt=30): 17608 ((x * y) * K(z,T(u,x))) * a(z,x,K(y,T(u,x))) = (x * K(z,T(u,y * x))) * y. [para(14176(a,1),16910(a,1,2))]. given #15126 (H,wt=30): 17611 (a(x,y,K(z,u)) * w) * K(w * a(x,y,K(z,u)),v5) = T(a(u,y,K(z,x)) \ w,v5). [para(14204(a,1),16940(a,1,2,1))]. given #15127 (H,wt=23): 17668 (a(x,y,K(z,u)) * w) * K(w,v5) = T(a(u,y,K(z,x)) \ w,v5). [para(17261(a,1),17611(a,1,2))]. given #15128 (H,wt=21): 17669 T(a(x,y,K(z,u)) \ w,v5) = a(u,y,K(z,x)) * T(w,v5). [hyper(6868,a,17668,a),flip(a)]. given #15129 (H,wt=21): 17671 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [para(14197(a,1),17669(a,1,1))]. given #15130 (H,wt=21): 17672 T(a(x,y,K(z,u)) * w,v5) = T(w,v5) * a(x,y,K(z,u)). [hyper(286,a,16659,a(flip),b,17671,a),flip(a)]. given #15131 (H,wt=21): 17673 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(16659(a,1),17671(a,1,1))]. given #15132 (H,wt=24): 17674 T(a(x,y,K(z,u)) * w,v5) != v6 | T(w,v5) * a(x,y,K(z,u)) = v6. [para(17671(a,2),16662(a,1))]. given #15133 (H,wt=25): 17677 T(K(x,y) * a(z,u,K(w,v5)),v6) = a(z,u,K(w,v5)) * K(x,T(y,v6)). [hyper(8515,a,17673,a(flip)),flip(a)]. given #15134 (H,wt=28): 17676 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * T(a(z,u,K(w,v5)) * x,y). [para(17672(a,2),12583(a,2,2))]. given #15135 (H,wt=26): 17678 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = (a(z,u,K(w,v5)) * x) * y. [hyper(286,a,108,a(flip),b,17676,a),flip(a)]. given #15136 (H,wt=21): 17679 (a(x,y,K(z,u)) * z) * w = (z * w) * a(x,y,K(z,u)). [hyper(62,a,12585,a(flip),b,17678,a),flip(a)]. given #15137 (H,wt=21): 17680 (a(x,y,K(z,u)) * z) * w = z * (w * a(x,y,K(z,u))). [hyper(286,a,12587,a(flip),b,17679,a),flip(a)]. given #15138 (H,wt=21): 17681 (x * a(y,z,K(x,u))) * w = x * (w * a(y,z,K(x,u))). [para(10237(a,1),17680(a,1,1))]. given #15139 (H,wt=31): 16776 K(x * K(y,z),x \ (K(T(y,u),z) * w)) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [hyper(62,a,16221,a(flip),b,16682,a),flip(a)]. given #15140 (H,wt=31): 16808 K(x,K(y,z \ u)) * K(x,y * (u \ (K(w,v5) * z))) = K(x,(u \ (K(w,v5) * z)) * y). [para(16783(a,1),12190(a,1,1))]. given #15141 (H,wt=31): 16899 (x \ R(x,y,x)) \ ((K(x,y) * z) * u) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). [para(16895(a,1),10430(a,1,2))]. given #15142 (H,wt=31): 16924 K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / y) * z),u). [para(16923(a,1),12088(a,1,2))]. given #15143 (H,wt=31): 16928 x \ (y * T(x * K(z,K(y * x,u \ w)),K(z,w \ u))) = T(y,K(u \ w,z) * x). [para(16908(a,2),14710(a,1,2))]. given #15144 (H,wt=31): 17035 T(x,T(y,K(z,u) * (w * v5)) / ((w * K(z,u)) * v5)) = T(x,((w * K(z,u)) * v5) \ y). [para(17026(a,1),13102(a,1,2,1))]. given #15145 (H,wt=31): 17165 K(x * ((T(y,z \ 1) * (y \ (z \ y))) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). [para(3879(a,1),17163(a,1,1,2,1,1))]. given #15146 (H,wt=29): 17686 K(x * ((K(y,z \ 1) * (z \ y)) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). [para(4639(a,1),17165(a,1,1,2,1))]. given #15147 (H,wt=27): 17687 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (((z \ (y \ z)) * z) * u),w). [para(6466(a,1),17686(a,1,1,2,1))]. given #15148 (H,wt=25): 17688 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (T(y \ z,z) * u),w). [hyper(286,a,17661,a(flip),b,17687,a),flip(a)]. given #15149 (H,wt=31): 17166 K(x * ((T(y,T(z,u)) * T(z,T(u,w))) * v5),v6) = K(x * ((T(z,T(u,w)) * y) * v5),v6). [para(15102(a,1),17163(a,1,1,2,1,1))]. given #15150 (H,wt=31): 17199 K(T(x,((y * z) / y) \ u) * (K(z,y) * (z \ u)),w) = K((((y * z) / y) \ u) * x,w). [hyper(12127,a,17197,a),flip(a)]. given #15151 (H,wt=29): 17689 K(T(x,T(y,z) \ u) * (K(y,z) * (y \ u)),w) = K((((z * y) / z) \ u) * x,w). [para(14731(a,1),17199(a,1,1,1))]. given #15152 (H,wt=27): 17690 K(T(x,T(y,z) \ u) * (T(y,z) \ u),w) = K((((z * y) / z) \ u) * x,w). [hyper(17193,a,17689,a)]. given #15153 (H,wt=21): 17691 K((((x * y) / x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(12127,a,17690,a),flip(a)]. given #15154 (H,wt=19): 17692 K((T(x,y) \ T(y,x)) * z,u) = K((x \ y) * z,u). [para(989(a,1),17691(a,1,1,1)),flip(a)]. given #15155 (H,wt=29): 17693 K(((T(x * y,K(y,z)) / y) \ u) * w,v5) = K((T(T(x,T(y,z)),y) \ u) * w,v5). [para(7095(a,2),17691(a,1,1,1,1,1))]. given #15156 (H,wt=25): 17694 K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((T(x,K(y,z)) \ u) * w,v5). [para(10902(a,1),17693(a,1,1,1,1)),flip(a)]. given #15157 (H,wt=21): 17695 K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((x \ u) * w,v5). [hyper(286,a,16798,a(flip),b,17694,a),flip(a)]. given #15158 (H,wt=21): 17697 K((T(T(x,y),T(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). [para(23(a,1),17695(a,1,1,1,1))]. given #15159 (H,wt=31): 17447 K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y)) = K(x,L(y,z,(K(v5,v6) * u) * (w \ 1))). [para(17432(a,1),14317(a,1,2,3))]. given #15160 (H,wt=27): 17698 K(x,L(y,z,(K(u,w) * v5) * (v6 \ 1))) = K(x,L(y,z,v5 * (v6 \ K(u,w)))). [hyper(14202,a,17447,a),flip(a)]. given #15161 (H,wt=31): 17544 K(x,y) * a(x,z,K(K(u,w) * (v5 \ v6),y)) = K(x,L(y,z,(K(w,u) * (v6 \ v5)) \ 1)). [para(17543(a,1),16041(a,1,2,3))]. given #15162 (H,wt=27): 17699 K(x,L(y,z,(K(u,w) * (v5 \ v6)) \ 1)) = K(x,L(y,z,K(w,u) * (v6 \ v5))). [hyper(14202,a,17544,a),flip(a)]. given #15163 (H,wt=25): 17700 K(x,L(y,z,(u \ w) \ K(v5,v6))) = K(x,L(y,z,K(v5,v6) * (w \ u))). [para(13570(a,1),17699(a,1,2,3))]. given #15164 (H,wt=31): 17555 (x * K(((y * z) \ u) * K(w,v5),T(v6,y * z))) \ x = K(v6,u / (y * (K(v5,w) * z))). [para(17553(a,1),15973(a,1,1,2))]. given #15165 (H,wt=27): 17701 (x * K(y * ((z * u) \ K(w,v5)),v6)) \ x = K(v6,y / (z * (K(v5,w) * u))). [para(17452(a,1),17555(a,1,1,2))]. given #15166 (H,wt=23): 17702 K(x / (y * (K(z,u) * w)),v5) = K(x * ((y * w) \ K(u,z)),v5). [hyper(15231,a,17701,a),flip(a)]. given #15167 (H,wt=26): 17703 K(x,y / (z * (K(u,w) * v5))) != v6 | K(x,y * ((z * v5) \ K(w,u))) = v6. [para(17701(a,1),6902(a,1))]. given #15168 (H,wt=29): 17704 (x * y) / (K(z * ((u * w) \ K(v5,v6)),x) * y) = T(x,z / (u * (K(v6,v5) * w))). [para(17702(a,1),5746(a,1,2,1))]. given #15169 (H,wt=23): 17706 T(x,y / (z * (K(u,w) * v5))) = T(x,y * ((z * v5) \ K(w,u))). [hyper(5878,a,17704,a),flip(a)]. given #15170 (H,wt=23): 17707 K(x,T(y,z / (u * (K(w,v5) * v6)))) = K(x,T(y,z \ (u * v6))). [para(17706(a,2),15796(a,1,2))]. given #15171 (H,wt=23): 17708 K(x,T(y,(z * (K(u,w) * v5)) \ v6)) = K(x,T(y,v6 \ (z * v5))). [hyper(15265,a,17707,a)]. given #15172 (H,wt=31): 17601 K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [hyper(62,a,15601,a,b,17599,a)]. given #15173 (H,wt=31): 17645 K(x * (T(y,z) * (z * a(u,w,K(v5,v6)))),v7) = K(x * ((z * a(u,w,K(v5,v6))) * y),v7). [para(17251(a,1),17641(a,1,1,2,1))]. given #15174 (H,wt=24): 17711 K(x * (T(y,z) * z),u) = K(x * ((z * a(w,v5,K(v6,v7))) * y),u). [hyper(17276,a,17645,a)]. given #15175 (H,wt=22): 17712 K(x * ((y * a(z,u,K(w,v5))) * v6),v7) = K(x * (y * v6),v7). [hyper(17642,a,17711,a),flip(a)]. given #15176 (H,wt=27): 17714 K(x * (((y * z) * K(u,w)) * v5),v6) = K(x * ((y * (z * K(u,w))) * v5),v6). [para(81(a,1),17712(a,1,1,2,1))]. given #15177 (H,wt=31): 17682 K(x * K(y,z),x \ (K(y,T(z,u)) * w)) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [para(7777(a,1),16776(a,1,2,2,1))]. given #15178 (H,wt=31): 17683 R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). [hyper(62,a,10436,a(flip),b,16899,a)]. given #15179 (H,wt=31): 17685 x \ (y * T(x * K(z,K(y * x,u * w)),K(z,u \ w))) = T(y,K(w \ u,z) * x). [para(14984(a,1),16928(a,1,2,2,1,2))]. given #15180 (H,wt=31): 17710 K(x,y * T(L((z \ 1) \ 1,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(6677(a,2),17601(a,1,2,2,1,1))]. given #15181 (H,wt=27): 17717 K(x,y * T(L(z,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(4893(a,1),17710(a,1,2,2,1,1,1))]. given #15182 (H,wt=27): 17718 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(4565(a,2),17717(a,1,2,2,1))]. given #15183 (H,wt=30): 17719 K(x,a(y \ 1,z,z \ 1) \ u) != w | K(x,u * T(y \ L(y,z \ 1,z),v5)) = w. [para(17718(a,1),13144(a,1))]. given #15184 (H,wt=31): 17716 x \ (y * T(x * K(z,K(y * x,u * w)),K(z,w * u))) = T(y,K(w \ u,z) * x). [para(14985(a,1),17685(a,1,2,2))]. given #15185 (H,wt=27): 17720 x \ T(y * T(x,K(z,u * w)),K(z,w * u)) = T(y,K(u \ w,z) * x). [para(16908(a,1),17716(a,1,2))]. given #15186 (H,wt=19): 17721 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(15567,a,17720,a),flip(a)]. given #15187 (H,wt=21): 17722 x \ T(x,K(y * z,u) * w) = K(x,K(y \ z,u) * w). [hyper(115,a,17721,a(flip),b,4659,a(flip))]. given #15188 (H,wt=19): 17724 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(4728,a,17722,a),flip(a)]. given #15189 (H,wt=21): 17723 x / T(x,K(y * z,u) * w) = K(K(y \ z,u) * w,x). [para(17721(a,1),4617(a,2,2)),flip(a)]. given #15190 (H,wt=19): 17727 K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). [hyper(4697,a,17723,a),flip(a)]. given #15191 (H,wt=19): 17728 K(K(x * y,z) * u,w) = K(u * K(x \ y,z),w). [hyper(15093,a,17727,a),flip(a)]. given #15192 (H,wt=21): 17729 K((x / y) * K(z \ u,y),w) = K(x / T(y,z * u),w). [hyper(15162,a,17728,a),flip(a)]. given #15193 (H,wt=19): 17730 K(x / T(y,z \ u),w) = K(x / T(y,z * u),w). [para(6605(a,1),17729(a,1,1))]. given #15194 (H,wt=22): 17725 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(17722(a,1),4728(a,1))]. given #15195 (H,wt=23): 17731 (x * K(y / T(z,u * w),v5)) \ x = K(v5,y / T(z,u \ w)). [para(17730(a,1),6895(a,1,1,2))]. given #15196 (H,wt=19): 17733 K(x,y / T(z,u \ w)) = K(x,y / T(z,u * w)). [hyper(15158,a,17731,a),flip(a)]. given #15197 (H,wt=22): 17734 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(17731(a,1),6902(a,1))]. given #15198 (H,wt=25): 17726 K(x,K(y * z,u) * (w * (v5 / u))) = K(x,w * (v5 / T(u,y \ z))). [hyper(62,a,17053,a(flip),b,17724,a),flip(a)]. given #15199 (H,wt=23): 17735 K(x,y * (z / T(u,w \ v5))) = K(x,y * (z / T(u,w * v5))). [hyper(62,a,17053,a(flip),b,17726,a),flip(a)]. given #15200 (H,wt=23): 17736 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(62,a,17124,a(flip),b,17735,a),flip(a)]. given #15201 (H,wt=31): 17732 K(x \ K(y / T(z,u * w),v5),y / T(z,u \ w)) = K(x,(y / T(z,u \ w)) \ 1). [para(17730(a,1),8519(a,1,1,2))]. given #15202 (H,wt=31): 17737 K(x \ K(y / T(z,u * w),v5),y / T(z,u * w)) = K(x,(y / T(z,u \ w)) \ 1). [hyper(17734,a,17732,a)]. given #15203 (H,wt=23): 17738 K(x,(y / T(z,u \ w)) \ 1) = K(x,(y / T(z,u * w)) \ 1). [hyper(15373,a,17737,a),flip(a)]. given #15204 (H,wt=21): 17739 K(x,(y / T(z,u \ w)) \ 1) = K(x,T(z,u * w) / y). [hyper(286,a,5964,a(flip),b,17738,a),flip(a)]. given #15205 (H,wt=19): 17740 K(x,T(y,z \ u) / w) = K(x,T(y,z * u) / w). [hyper(7036,a,17739,a)]. given #15206 (H,wt=32): 16755 L(K(K(x,y),z) * ((u * w) \ v5),K(z,K(x,y)),u * w) = (u * (w * K(z,K(x,y)))) \ v5. [para(16606(a,1),5857(a,2,1))]. given #15207 (H,wt=32): 16771 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). [para(15678(a,1),16667(a,1,1)),flip(a)]. given #15208 (H,wt=32): 16829 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,w,x * K(y,K(z,u))). [para(16814(a,1),18(a,2,1)),flip(a)]. given #15209 (H,wt=32): 16833 L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(16828(a,1),15248(a,1,1))]. given #15210 (H,wt=32): 16875 K(x,y) * (z \ K(u,L(w,v5,v5 \ (K(x,y) / z)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [hyper(62,a,11852,a(flip),b,16873,a),flip(a)]. given #15211 (H,wt=32): 17139 K(x * (y \ K(z,((u * w) \ u) \ v5)),v6) = K(x * (y \ K(z,v5 \ L(w \ 1,w,u))),v6). [para(6723(a,1),17138(a,1,1,2,2)),flip(a)]. given #15212 (H,wt=32): 17213 a(x,x \ 1,L(y \ 1,K(z,u),w)) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. [para(11255(a,2),17209(a,1,1))]. given #15213 (H,wt=32): 17297 K(x * ((y * z) * K(u,w \ 1)),v5) != v6 | K(x * (y * (z * K(u,(v7 * w) \ v7))),v5) = v6. [para(6719(a,1),17275(a,1,1,2,2))]. given #15214 (H,wt=27): 17744 K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * ((y * z) * K(u,v5)),v6). [hyper(17297,a,16996,a)]. given #15215 (H,wt=27): 17745 K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * (y * (z * K(u,v5))),v6). [hyper(286,a,17270,a(flip),b,17744,a),flip(a)]. given #15216 (H,wt=25): 17746 K(x * (y * (z * K(u,w \ 1))),v5) = K(x * (y * (z * K(u,w))),v5). [para(7(a,1),17745(a,1,1,2,2,2,2,1))]. given #15217 (H,wt=29): 17747 K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * (u * K(u * z,z))),w). [para(10660(a,2),17746(a,1,1,2,2))]. given #15218 (H,wt=27): 17748 K(K(x,y) * (z * (u * y)),w) = K(z * (u * (((x \ 1) \ y) * (x \ 1))),w). [hyper(286,a,17666,a(flip),b,17747,a)]. given #15219 (H,wt=32): 17416 x * (K(y,z) * K(u,L(w,v5,v5 \ (x \ 1)))) = ((x / (v5 \ 1)) * (v5 \ K(u,w))) * K(y,z). [para(14573(a,1),17371(a,1,1)),flip(a)]. given #15220 (H,wt=28): 17749 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(y \ (x \ 1),u)). [para(14184(a,1),17416(a,1,2)),flip(a)]. given #15221 (H,wt=28): 17750 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(x * y,u \ 1)). [para(13530(a,1),17749(a,2,2,3))]. given #15222 (H,wt=26): 17751 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(x * y,y,K(z,u)). [para(14193(a,1),17750(a,2,2))]. given #15223 (H,wt=32): 17531 K((x * (y * K(z,u))) * (((w \ x) * y) \ K(u,z)),v5) = K(w,L(v5,w \ x,y * K(z,u))). [hyper(14415,a,17530,a),flip(a)]. given #15224 (H,wt=32): 17742 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,w,x * K(y,K(z,u))). [para(16814(a,1),16829(a,1,2))]. given #15225 (H,wt=28): 17752 L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,y,v5 * K(z,K(u,w))). [hyper(751,a,17742,a)]. given #15226 (H,wt=21): 17753 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [para(16627(a,1),17752(a,1,1))]. given #15227 (H,wt=33): 16925 K(x,y * (((y \ 1) / z) * u)) * K(x,K(w,z \ u)) = K(x,T(y * (((y \ 1) / z) * u),w)). [para(16923(a,1),15196(a,1,2))]. given #15228 (H,wt=33): 16992 T(x * K(y * (x * K(z,u)),w),K(z,u) * y) = (K(z,u) * y) \ T(x * (K(z,u) * y),w). [para(16985(a,1),13543(a,1,1,2))]. given #15229 (H,wt=33): 17430 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v5 \ v6,y \ 1)). [para(17419(a,1),14261(a,1,2,3)),flip(a)]. given #15230 (H,wt=31): 17754 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v6 \ v5,y)). [para(6787(a,1),17430(a,2,2,3))]. given #15231 (H,wt=27): 17755 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,L(y,z,v6 \ v5)). [hyper(286,a,14198,a(flip),b,17754,a),flip(a)]. given #15232 (H,wt=25): 17756 K(x,L(y,z,K(u,w) / ((K(w,u) * v5) \ v6))) = K(x,L(y,z,v6 \ v5)). [para(13591(a,1),17755(a,1,2,3))]. given #15233 (H,wt=25): 17757 K(x,L(y,z,((K(u,w) * v5) \ v6) \ K(w,u))) = K(x,L(y,z,v6 \ v5)). [hyper(62,a,16698,a,b,17756,a)]. given #15234 (H,wt=25): 17758 K(x,L(y,z,K(u,w) * (v5 \ (K(w,u) * v6)))) = K(x,L(y,z,v5 \ v6)). [hyper(62,a,17700,a(flip),b,17757,a)]. given #15235 (H,wt=33): 17481 ((x * y) / x) / ((x * (y * K(K(z,u) * (w \ v5),y))) / x) = K(y,T((w \ K(u,z)) * v5,x)). [para(17474(a,1),9290(a,1,2,1,2,2))]. given #15236 (H,wt=23): 17759 K(x,T((y \ K(z,u)) * w,v5)) = K(x,T(K(u,z) * (y \ w),v5)). [hyper(9291,a,17481,a),flip(a)]. given #15237 (H,wt=26): 17760 K(x,T((y \ K(z,u)) * w,v5)) != v6 | K(x,T(K(u,z) * (y \ w),v5)) = v6. [para(17481(a,1),9291(a,1))]. given #15238 (H,wt=33): 17519 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * ((z * K(x,y)) * K(w,v5))). [hyper(115,a,11753,a(flip),b,17349,a),flip(a)]. given #15239 (H,wt=33): 17761 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * (z * (K(w,v5) * K(x,y)))). [para(17371(a,1),17519(a,2,2,2))]. given #15240 (H,wt=28): 17762 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = L(K(w,v5) * K(x,y),z,u). [hyper(286,a,18,a,b,17761,a),flip(a)]. given #15241 (H,wt=34): 16801 R(x / (K(y,z) * u),K(y,z) * u,K(y,K(z,w))) = K(y,K(z,w)) * (x / (K(y,T(z,w)) * u)). [hyper(15321,a,16762,a)]. given #15242 (H,wt=34): 16969 K((x * (y * T(z,u))) * L(w,y * T(z,T(u,v5)),x),v6) = K(x * ((y * T(z,T(u,v5))) * w),v6). [para(92(a,1),16915(a,1,1)),flip(a)]. given #15243 (H,wt=34): 17167 K(x * ((T(y,T(z,u)) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. [para(12110(a,1),17164(a,1,1,2,1,1))]. given #15244 (H,wt=34): 17223 (x \ R(x,y,x)) \ (K(x,y) * (K(z,K(u,w)) * v5)) = K(w,K(z,z * u)) * (K(x,x * y) * v5). [para(8660(a,1),16863(a,1,2,2,1))]. given #15245 (H,wt=30): 17763 K(x,K(y,y * z)) * (K(y,y * z) * u) = (y \ R(y,z,y)) \ (K(y,T(z,x)) * u). [para(10895(a,1),17223(a,1,2)),flip(a)]. given #15246 (H,wt=24): 17764 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(x * y,z)) * u. [hyper(9319,a,17763,a),flip(a)]. given #15247 (H,wt=17): 17765 K(x,T(y * T(x,z),z)) = K(x,T(x * y,z)). [hyper(11245,a,17764,a)]. given #15248 (H,wt=34): 17512 K((x \ y) * K(z,(u / w) * v5),T(v6,y)) != v7 | K(y * (x \ K(z,T(w \ u,w) * v5)),v6) = v7. [para(14736(a,1),17475(a,1,1,2))]. given #15249 (H,wt=34): 17741 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y * z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(17740(a,1),16169(a,1,2))]. given #15250 (H,wt=32): 17766 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(15488(a,1),17741(a,1,2))]. given #15251 (H,wt=30): 17767 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,y \ z) / z)). [para(13093(a,1),17766(a,1,2))]. given #15252 (H,wt=35): 17067 K(x,K(y,L(z,z \ u,w)) * (v5 * ((z \ u) * w))) = K(x,v5 * (T(R(z,z \ u,w),y) \ (u * w))). [para(14389(a,1),17051(a,2,2,2))]. given #15253 (H,wt=30): 17768 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,K(v5,z) * (y * ((z \ u) * w))). [hyper(17042,a,17067,a),flip(a)]. given #15254 (H,wt=25): 17770 K(x,K(y,z) * (u * ((z \ w) * v5))) = K(x,u * ((T(z,y) \ w) * v5)). [para(14600(a,1),17768(a,1,2,2)),flip(a)]. given #15255 (H,wt=25): 17771 K(x,K(y,z) * (u * ((y \ w) * v5))) = K(x,u * ((T(y,z) \ w) * v5)). [hyper(14721,a,17770,a)]. given #15256 (H,wt=35): 17091 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,(T(u,v6) * w) * v5) * y). [para(17037(a,1),15344(a,1,2,2,1)),flip(a)]. given #15257 (H,wt=35): 17120 K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ u) * (K(u,K(v5,w) * z) * v6)). [para(14707(a,2),17103(a,2,2,1,2)),flip(a)]. given #15258 (H,wt=31): 17772 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ (y \ T(z * T(y,K(v5,v6)),K(v5,v6)))) * w). [hyper(286,a,17062,a(flip),b,17120,a)]. given #15259 (H,wt=29): 17774 K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ T(u,z)) * v6). [hyper(62,a,17073,a(flip),b,17772,a),flip(a)]. given #15260 (H,wt=23): 17775 K(x,(y \ T(z,K(u,w) * v5)) * v6) = K(x,(y \ T(z,v5)) * v6). [para(14707(a,1),17774(a,1,2,1,2))]. given #15261 (H,wt=35): 17172 K(K(x,L(y,z,u)) * (w * K(L(y,z,u),v5)),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). [para(25(a,2),17171(a,2,1,2,1,1))]. given #15262 (H,wt=35): 17181 K(K(x,y),K(z,u)) * ((K(w,K(x,y)) * v5) \ (x * y)) = (T(T(K(x,y),w),K(z,u)) \ v5) \ (y * x). [hyper(62,a,13730,a(flip),b,16931,a),flip(a)]. given #15263 (H,wt=29): 17777 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(z,K(x,y)) * v5) \ (x * y)). [para(15062(a,1),17181(a,1,1)),flip(a)]. given #15264 (H,wt=29): 17778 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(x,K(y,z)) * v5) \ (x * y)). [para(8060(a,2),17777(a,2,2,1,1))]. given #15265 (H,wt=27): 17780 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ (T(x,K(y,z)) * y)). [para(16800(a,1),17778(a,2,2))]. given #15266 (H,wt=27): 17781 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ T(x * y,K(y,z))). [para(10901(a,2),17780(a,2,2,2))]. given #15267 (H,wt=25): 17782 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). [hyper(286,a,7,a(flip),b,17781,a),flip(a)]. given #15268 (H,wt=25): 17783 (T(K(x,T(y,z)),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). [para(7723(a,2),17782(a,1,1,1,1))]. given #15269 (H,wt=21): 17784 (K(x,T(y,z)) \ u) \ (y * x) = u \ T(x * y,K(y,z)). [para(107(a,1),17783(a,1,1,1))]. given #15270 (H,wt=21): 17785 (K(x,T(y,z)) * u) \ (x * y) = u \ T(y * x,K(x,z)). [para(7809(a,1),17784(a,1,1))]. given #15271 (H,wt=35): 17488 K(x \ K(y \ (T(z,u) \ w),v5),K(z,u) * (y \ (z \ w))) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). [para(17485(a,1),8519(a,1,1,2))]. given #15272 (H,wt=35): 17518 K(x,K(y,z \ u)) * K(x,y * (((u \ z) \ 1) \ K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). [para(6717(a,1),17516(a,1,1,2))]. given #15273 (H,wt=33): 17786 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). [para(13487(a,1),17518(a,1,2,2,2))]. given #15274 (H,wt=35): 17533 K((x * (y * K(z,u))) * (((w \ x) * y) \ K(u,z)),v5) != v6 | K(w,L(v5,w \ x,y * K(z,u))) = v6. [para(17530(a,1),14415(a,1))]. given #15275 (H,wt=35): 17568 K((K(x,y) * z) / (K(x,y) * (K(u,L(w,v5,v6)) * v7)),v8) = K((v7 \ z) * K(w,L(u,v5,v6)),T(v8,v7)). [para(11780(a,1),17418(a,1,1,2,2,1))]. given #15276 (H,wt=27): 17787 K((x \ y) * K(z,L(u,w,v5)),T(v6,x)) = K(y / (K(u,L(z,w,v5)) * x),v6). [hyper(62,a,16678,a(flip),b,17568,a),flip(a)]. given #15277 (H,wt=24): 17788 K(x / (K(y,L(z,u,w)) * v5),v6) = K(K(z,y) * (v5 \ x),T(v6,v5)). [hyper(17112,a,17787,a),flip(a)]. given #15278 (H,wt=22): 17790 K(x / (K(y,L(z,u,w)) * v5),v6) = K(x * (v5 \ K(y,z)),v6). [hyper(286,a,17455,a(flip),b,17788,a),flip(a)]. given #15279 (H,wt=22): 17791 K(x * (y \ K(L(z,u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). [hyper(13762,a,17790,a)]. given #15280 (H,wt=22): 17792 K(x * (y \ K(z,L(u,w,v5))),v6) = K(x * (y \ K(u,z)),v6). [para(10748(a,1),17791(a,1,1,2,2))]. given #15281 (H,wt=24): 17797 K(x * (y * K(z,L(u,w,v5))),v6) = K(x * ((y \ 1) \ K(u,z)),v6). [para(13487(a,1),17792(a,1,1,2))]. given #15282 (H,wt=22): 17799 K(x * (y * K(z,L(u,w,v5))),v6) = K(x * (y * K(u,z)),v6). [para(13487(a,1),17797(a,2,1,2))]. given #15283 (H,wt=19): 17800 K(x * ((y \ K(z,u)) * K(z,u)),w) = K(x / y,w). [hyper(62,a,17573,a(flip),b,17799,a),flip(a)]. given #15284 (H,wt=19): 17801 K(x * (K(y,z) * (u \ K(y,z))),w) = K(x / u,w). [hyper(62,a,16876,a(flip),b,17800,a)]. given #15285 (H,wt=26): 17793 K(x * (y \ K(z,L(u * w,v5,v6))),v7) = K(x * (y \ K(w * u,z)),v7). [hyper(286,a,16207,a,b,17792,a),flip(a)]. given #15286 (H,wt=23): 17802 K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(w,u * z)),v5). [para(334(a,1),17793(a,1,1,2,2,2)),flip(a)]. given #15287 (H,wt=26): 17795 K(x,y * (z \ K(u,L(w,v5,v6)))) = (v7 * K(y * (z \ K(w,u)),x)) \ v7. [para(17792(a,1),6895(a,1,1,2)),flip(a)]. given #15288 (H,wt=25): 17803 K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(w,u))) = v7. [para(17795(a,2),6902(a,1))]. given #15289 (H,wt=22): 17804 K(x,y * (z \ K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(334(a,1),17803(a,1,2,2,2,2))]. given #15290 (H,wt=28): 17794 T(x,y * (z \ K(u,L(w,v5,v6)))) = (x * v7) / (K(y * (z \ K(w,u)),x) * v7). [para(17792(a,1),5746(a,1,2,1)),flip(a)]. given #15291 (H,wt=22): 17805 T(x,y * (z \ K(u,L(w,v5,v6)))) = T(x,y * (z \ K(w,u))). [hyper(286,a,5746,a(flip),b,17794,a),flip(a)]. given #15292 (H,wt=29): 17798 K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,(z / u) * w)),v6). [para(13912(a,1),17792(a,1,1,2,2))]. given #15293 (H,wt=35): 17658 K(x,K((T(y,z) * u) * w,((((z \ y) * z) * u) * w) * v5)) = K(x,K((((z \ y) * z) * u) * w,v5)). [para(17657(a,1),8671(a,1,2))]. given #15294 (H,wt=33): 17806 K(x,K(((((y \ z) * y) * u) * w) * v5,w * (z * u))) = K(x,K((((y \ z) * y) * u) * w,v5)). [hyper(62,a,15912,a(flip),b,17658,a)]. given #15295 (H,wt=35): 17684 T(K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u). [para(16924(a,2),15064(a,1,1))]. given #15296 (H,wt=35): 17776 K(K(x,L(y,z,u)) * (w * K(y,L(v5,z,u))),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). [para(11780(a,1),17172(a,1,1,2,2))]. given #15297 (H,wt=32): 17809 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,L(x,y,z)) * (v5 * K(w,x)),v6). [hyper(62,a,17799,a(flip),b,17776,a),flip(a)]. given #15298 (H,wt=29): 17811 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,x) * (v5 * K(w,x)),v6). [hyper(286,a,17078,a(flip),b,17809,a),flip(a)]. given #15299 (H,wt=29): 17813 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u) \ v5),v6). [hyper(286,a,17535,a(flip),b,17811,a),flip(a)]. given #15300 (H,wt=35): 17796 K(x * (y \ K(z \ L(u \ 1,u,w),L(v5,v6,v7))),v8) = K(x * (y \ K(v5,z \ ((w * u) \ w))),v8). [para(7167(a,1),17792(a,2,1,2,2))]. given #15301 (H,wt=32): 17814 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u \ ((v5 * w) \ v5))),v6). [hyper(62,a,17792,a(flip),b,17796,a)]. given #15302 (H,wt=36): 16913 K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,T((u * (v5 \ z)) * w,w \ 1))). [para(6938(a,1),16785(a,2,2,2))]. given #15303 (H,wt=34): 17815 K(x,K(y,T((z * (u \ w)) * v5,v6))) = K(x,K(y,w \ ((z \ L(v5 \ 1,v5,z * (u \ w))) * u))). [hyper(286,a,15015,a,b,16913,a)]. given #15304 (H,wt=32): 17816 K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,w * (u * (v5 \ z)))). [para(12070(a,1),17815(a,1,2)),flip(a)]. given #15305 (H,wt=36): 17228 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = (v9 \ T(v8 * v9,K(x,u * (z * y)))) \ T(v8,v9). [para(17226(a,1),13599(a,1,1,2)),flip(a)]. given #15306 (H,wt=30): 17817 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(K(x,u * (z * y)),v8 * v9). [hyper(286,a,13599,a(flip),b,17228,a),flip(a)]. given #15307 (H,wt=30): 17818 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(x,K(u * (z * y),v8 * v9)). [hyper(286,a,8032,a(flip),b,17817,a),flip(a)]. given #15308 (H,wt=30): 17819 K(x,K(y \ (z \ (u \ a(w,v5,K(v6,v7)))),v8 * v9)) = K(x,K(u * (z * y),v8 * v9)). [hyper(8240,a,17818,a)]. given #15309 (H,wt=36): 17513 K(x,y) * (a(z,u,K(w,v5)) * T(v6,a(z,u,K(w,v5)) * K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [hyper(262,a,17466,a),flip(a)]. given #15310 (H,wt=29): 17820 K(x,y) * (a(z,u,K(w,v5)) * T(v6,K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [para(17257(a,1),17513(a,1,2,2))]. given #15311 (H,wt=29): 17822 K(x,y) * T(a(z,u,K(w,v5)) * v6,K(x,y)) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [para(17671(a,2),17820(a,1,2))]. given #15312 (H,wt=25): 17823 (a(x,y,K(z,u)) * w) * K(v5,v6) = w * (a(x,y,K(z,u)) * K(v5,v6)). [hyper(262,a,17822,a)]. given #15313 (H,wt=26): 17824 ((x * y) \ 1) * (a(z,x,K(y,u)) * K(z,u)) = ((K(u,z) * x) * y) \ 1. [hyper(62,a,17000,a(flip),b,17823,a),flip(a)]. given #15314 (H,wt=22): 17826 ((x * y) \ 1) * K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [para(14200(a,1),17824(a,1,2))]. given #15315 (H,wt=20): 17827 (x * y) \ K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [hyper(13525,a,17826,a)]. given #15316 (H,wt=20): 17828 (x * y) \ K(z,L(u,x,y)) = (y \ 1) * (x \ K(z,u)). [hyper(286,a,13625,a(flip),b,17827,a),flip(a)]. given #15317 (H,wt=21): 17829 (x \ 1) * (y \ K(z,K(u,w))) = (y * x) \ K(z,K(u,w)). [para(16587(a,1),17828(a,1,2)),flip(a)]. given #15318 (H,wt=21): 17831 (x \ K(y,K(z,u))) * (w \ 1) = (w * x) \ K(y,K(z,u)). [hyper(62,a,16885,a,b,17829,a)]. given #15319 (H,wt=25): 17830 T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y * ((u * z) \ K(v5,w))). [para(17828(a,1),17805(a,1,2,2))]. given #15320 (H,wt=23): 17833 T(x,y / ((z * K(u,w)) * v5)) = T(x,y * ((z * v5) \ K(u,w))). [hyper(62,a,15721,a(flip),b,17830,a)]. given #15321 (H,wt=29): 17825 (x * (y * a(z,u,K(y,w)))) * K(v5,v6) = (x * y) * (a(z,u,K(y,w)) * K(v5,v6)). [para(16727(a,1),17823(a,1,1))]. given #15322 (H,wt=26): 17835 K((x * y) * (a(z,x,K(y,u)) * K(u,z)),w) = K((K(z,u) * x) * y,w). [para(17825(a,1),16900(a,1,1))]. given #15323 (H,wt=19): 17836 K((K(x,y) * z) * u,w) = K((z * u) * K(y,x),w). [hyper(17277,a,17835,a),flip(a)]. given #15324 (H,wt=19): 17838 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(16998,a,17836,a),flip(a)]. given #15325 (H,wt=19): 17843 K((K(x,y) * z) * (u * K(x,y)),w) = K(z * u,w). [hyper(62,a,17627,a(flip),b,17838,a),flip(a)]. given #15326 (H,wt=21): 17839 K((K(x,T(y,z)) * u) * w,v5) = K((u * w) * K(y,x),v5). [hyper(286,a,15434,a(flip),b,17836,a),flip(a)]. given #15327 (H,wt=21): 17841 K(((x \ 1) * y) * K(z,u),w) = K((x \ y) * K(u,z),w). [hyper(286,a,17422,a(flip),b,17838,a),flip(a)]. given #15328 (H,wt=21): 17842 K((x * y) * (z * K(u,x)),w) = K((T(x,u) * y) * z,w). [hyper(62,a,17629,a(flip),b,17838,a),flip(a)]. given #15329 (H,wt=21): 17845 K(x * (y * K(z,z \ u)),w) = K(K(z,u) * (x * y),w). [hyper(62,a,16016,a(flip),b,17838,a),flip(a)]. given #15330 (H,wt=21): 17846 K(x * (y * K(z * u,z)),w) = K(K(u,z) * (x * y),w). [hyper(62,a,16015,a(flip),b,17838,a),flip(a)]. given #15331 (H,wt=21): 17847 K(x * (y * K(z \ u,z)),w) = K(K(z,u) * (x * y),w). [hyper(62,a,15226,a(flip),b,17838,a),flip(a)]. given #15332 (H,wt=21): 17848 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5715(a,1),17843(a,1,1,1))]. given #15333 (H,wt=21): 17850 K(K(x,y) * ((z \ 1) * u),w) = K((z \ u) * K(y,x),w). [hyper(15094,a,17841,a)]. given #15334 (H,wt=21): 17856 K(((x \ y) \ z) * K(y,x),u) = K(T(x \ y,x) \ z,u). [hyper(13779,a,17850,a),flip(a)]. given #15335 (H,wt=19): 17857 K(((x \ y) \ z) * K(y,x),u) = K((y / x) \ z,u). [hyper(286,a,16043,a(flip),b,17856,a),flip(a)]. given #15336 (H,wt=23): 17849 K((K(x \ y,T(x,z)) * u) * w,v5) = K(K(x,y) * (u * w),v5). [hyper(286,a,15226,a(flip),b,17839,a),flip(a)]. given #15337 (H,wt=23): 17855 K((x * T(x \ (y \ x),z)) * u,w) = K((T(y,z) \ x) * u,w). [hyper(62,a,17182,a(flip),b,17848,a)]. given #15338 (H,wt=23): 17858 K(K(x,y) * ((z * y) * u),w) = K((z * ((x \ y) * x)) * u,w). [hyper(62,a,17663,a(flip),b,17849,a),flip(a)]. given #15339 (H,wt=21): 17863 K(K(x,y) * ((z * y) * u),w) = K((z * T(y,x)) * u,w). [hyper(286,a,17506,a(flip),b,17858,a),flip(a)]. given #15340 (H,wt=21): 17865 K(K(x,y) * ((z * x) * u),w) = K((z * T(x,y)) * u,w). [hyper(16025,a,17863,a)]. given #15341 (H,wt=23): 17860 K((x \ T(y,x)) * z,u) = K((y * T(y \ (x \ y),y)) * z,u). [para(3928(a,1),17855(a,2,1,1)),flip(a)]. given #15342 (H,wt=21): 17872 K((x \ T(y,x)) * z,u) = K(((y \ (x \ y)) * y) * z,u). [para(108(a,1),17860(a,2,1,1))]. given #15343 (H,wt=19): 17873 K(T(x \ y,y) * z,u) = K((x \ T(y,x)) * z,u). [hyper(286,a,17640,a(flip),b,17872,a)]. given #15344 (H,wt=17): 17874 K((x \ T(y,x)) * z,u) = K((y / x) * z,u). [hyper(62,a,16077,a(flip),b,17873,a),flip(a)]. given #15345 (H,wt=17): 17875 K((T(x,y) \ y) * z,u) = K((y / x) * z,u). [para(3928(a,2),17874(a,1,1,1))]. given #15346 (H,wt=21): 17876 K((T(x,y) / T(z,x)) * u,w) = K((z \ T(x,y)) * u,w). [hyper(62,a,17697,a(flip),b,17875,a),flip(a)]. given #15347 (H,wt=21): 17877 K((T(x,y) \ T(y,z)) * u,w) = K((T(y,z) / x) * u,w). [hyper(62,a,16820,a(flip),b,17875,a)]. given #15348 (H,wt=17): 17879 K((T(x,y) / y) * z,u) = K((y \ x) * z,u). [hyper(62,a,17692,a(flip),b,17877,a),flip(a)]. given #15349 (H,wt=17): 17880 K((x / T(y,x)) * z,u) = K((y \ x) * z,u). [para(3926(a,1),17879(a,1,1,1))]. given #15350 (H,wt=23): 17861 K((T(x \ 1,y) \ z) * u,w) = K(((T(x,y) \ 1) \ z) * u,w). [para(7223(a,1),17855(a,1,1,1)),flip(a)]. given #15351 (H,wt=25): 17844 K(x * (y * K(z,T(u,w) \ v5)),v6) = K(K(u \ v5,z) * (x * y),v6). [hyper(62,a,16065,a(flip),b,17838,a),flip(a)]. given #15352 (H,wt=25): 17851 K((T(x,y * K(z,u)) * w) * v5,v6) = K((x * w) * (v5 * K(y,x)),v6). [hyper(62,a,17003,a(flip),b,17842,a),flip(a)]. given #15353 (H,wt=23): 17884 K((T(x,y * K(z,u)) * w) * v5,v6) = K((T(x,y) * w) * v5,v6). [hyper(286,a,17842,a(flip),b,17851,a),flip(a)]. given #15354 (H,wt=23): 17885 K((T(x,K(y,z) * u) * w) * v5,v6) = K((T(x,u) * w) * v5,v6). [para(7736(a,1),17884(a,1,1,1,1,2))]. given #15355 (H,wt=25): 17852 K((T(x,T(y / x,z)) * u) * w,v5) = K(K(x,y) * ((x * u) * w),v5). [hyper(62,a,17315,a,b,17845,a)]. given #15356 (H,wt=23): 17887 K((T(x,T(y / x,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [hyper(286,a,17630,a(flip),b,17852,a),flip(a)]. given #15357 (H,wt=23): 17888 K((T(x,T(x \ y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [para(3936(a,2),17887(a,1,1,1,1))]. given #15358 (H,wt=21): 17889 K((((x \ y) \ y) * z) * u,w) = K((T(x,y) * z) * u,w). [para(3654(a,1),17888(a,1,1,1,1))]. given #15359 (H,wt=24): 17890 K((T(x * y,y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). [hyper(62,a,17653,a(flip),b,17889,a),flip(a)]. given #15360 (H,wt=25): 17853 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,y) \ u),w). [hyper(62,a,17200,a(flip),b,17846,a),flip(a)]. given #15361 (H,wt=25): 17867 K(K(x,y) * ((z * (y * x)) * u),w) = K((z * T(y * x,x)) * u,w). [hyper(16049,a,17865,a)]. given #15362 (H,wt=25): 17868 K(K(x,y) * ((z * x) * u),T(w,z * x)) = K(u * (z * T(x,y)),w). [hyper(286,a,15773,a(flip),b,17865,a),flip(a)]. given #15363 (H,wt=21): 17891 K(K(x,y) * (z * (u * y)),w) = K(z * (u * T(y,x)),w). [hyper(62,a,17651,a(flip),b,17868,a)]. given #15364 (H,wt=25): 17882 K((x / T(y,x)) / z,u) = K((y \ x) * (K(w,v5) * (z \ K(w,v5))),u). [hyper(62,a,17801,a(flip),b,17880,a)]. given #15365 (H,wt=17): 17893 K((x / T(y,x)) / z,u) = K((y \ x) / z,u). [hyper(286,a,17801,a(flip),b,17882,a),flip(a)]. given #15366 (H,wt=21): 17894 K((x \ y) / z,T(u,x \ y)) = K(z \ (y / T(x,y)),u). [hyper(15772,a,17893,a),flip(a)]. given #15367 (H,wt=17): 17895 K(x \ (y / T(z,y)),u) = K(x \ (z \ y),u). [hyper(8254,a,17894,a),flip(a)]. given #15368 (H,wt=25): 17892 K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * T(u,z)),w). [hyper(62,a,17748,a(flip),b,17891,a)]. given #15369 (H,wt=21): 17897 K(x * (y * T(z,u \ 1)),w) = K(x * (y * T(z,u)),w). [hyper(62,a,17507,a(flip),b,17892,a)]. given #15370 (H,wt=26): 17862 K((T(x,y) \ L(z,x \ 1,x)) * u,w) = K((T(x \ 1,y) * z) * u,w). [para(11607(a,1),17855(a,1,1,1)),flip(a)]. given #15371 (H,wt=23): 17898 K((T(x \ 1,y) * z) * u,w) = K(((T(x,y) \ 1) * z) * u,w). [para(6514(a,1),17862(a,1,1,1)),flip(a)]. given #15372 (H,wt=25): 17899 K((T(x \ 1,y) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). [hyper(286,a,17509,a(flip),b,17898,a),flip(a)]. given #15373 (H,wt=27): 17854 K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * ((x \ y) * x))),v5). [hyper(62,a,17288,a(flip),b,17847,a),flip(a)]. given #15374 (H,wt=27): 17869 K(K(x,y \ (z \ 1)) * ((u * x) * w),v5) = K((u * T(x,z * y)) * w,v5). [hyper(62,a,14810,a,b,17865,a)]. given #15375 (H,wt=25): 17901 K((x * T(y,z \ (u \ 1))) * w,v5) = K((x * T(y,u * z)) * w,v5). [hyper(62,a,17865,a(flip),b,17869,a)]. given #15376 (H,wt=27): 17900 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * (T(x \ 1,y) \ 1)) * u,w). [para(4893(a,1),17899(a,1,1,1,1,1))]. given #15377 (H,wt=23): 17902 K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * T(y,z)) * u,w). [hyper(62,a,17581,a(flip),b,17900,a),flip(a)]. given #15378 (H,wt=29): 17866 K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K((z * u) * v5,v6) * (y * v7)). [para(17863(a,1),17061(a,1,2,2,1))]. given #15379 (H,wt=31): 17834 T(x,T(y,K(z,u) * (w * v5)) * ((w * v5) \ K(z,u))) = T(x,((w * K(z,u)) * v5) \ y). [hyper(62,a,17035,a(flip),b,17833,a),flip(a)]. given #15380 (H,wt=27): 17903 T(x,T(y,z * u) * ((z * u) \ K(w,v5))) = T(x,((z * K(w,v5)) * u) \ y). [hyper(62,a,16004,a(flip),b,17834,a)]. given #15381 (H,wt=31): 17870 K(K(L(x,y,z),u) * ((z * (y * x)) * w),v5) = K(((z * y) * T(L(x,y,z),u)) * w,v5). [para(92(a,1),17865(a,1,1,2,1))]. given #15382 (H,wt=31): 17883 K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) = K(x,K((T(u \ 1,w) \ z) * y,v5) * v6). [para(17861(a,2),14789(a,2,2,1))]. given #15383 (H,wt=31): 17905 K(K(x,L(y,z,u)) * ((u * (z * x)) * w),v5) = K(((u * z) * T(L(x,z,u),y)) * w,v5). [para(11780(a,1),17870(a,1,1,1))]. given #15384 (H,wt=28): 17907 K(K(x,y) * ((z * (u * x)) * w),v5) = K(((z * u) * T(L(x,u,z),y)) * w,v5). [hyper(17079,a,17905,a)]. given #15385 (H,wt=25): 17909 K(K(x,y) * ((z * (u * x)) * w),v5) = K((z * (u * T(x,y))) * w,v5). [para(432(a,1),17907(a,2,1,1))]. given #15386 (H,wt=23): 17911 K((x * T(y * z,z)) * u,w) = K((x * (y * T(z,y))) * u,w). [hyper(62,a,17867,a(flip),b,17909,a)]. given #15387 (H,wt=21): 17913 K((x * T(y * z,z)) * u,w) = K((x * (z * y)) * u,w). [para(108(a,1),17911(a,2,1,1,2))]. given #15388 (H,wt=25): 17910 K(K(x,y) * ((z * (u * y)) * w),v5) = K((z * (u * T(y,x))) * w,v5). [hyper(16025,a,17909,a)]. given #15389 (H,wt=25): 17914 K((T(x,y * z) * (y * z)) * u,w) = K((T(z * y,y) * x) * u,w). [hyper(62,a,17638,a(flip),b,17913,a),flip(a)]. given #15390 (H,wt=21): 17916 K((T(x * y,y) * z) * u,w) = K(((y * x) * z) * u,w). [hyper(62,a,17631,a(flip),b,17914,a),flip(a)]. given #15391 (H,wt=22): 17917 K(((x * y) * (y \ 1)) * z,u) = K(L(x,y,y \ 1) * z,u). [hyper(62,a,17890,a(flip),b,17916,a),flip(a)]. given #15392 (H,wt=24): 17918 K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (y * ((x * y) \ 1)),u). [hyper(13796,a,17917,a),flip(a)]. given #15393 (H,wt=23): 17919 K(x \ (((y * z) \ 1) * y),u) = K(x \ (y * ((z * y) \ 1)),u). [hyper(62,a,13712,a(flip),b,17918,a)]. given #15394 (H,wt=25): 17920 K(x \ (((y * (z \ 1)) \ 1) * y),u) = K(x \ (y * ((y \ 1) * z)),u). [para(6404(a,1),17919(a,2,1,2,2))]. given #15395 (H,wt=23): 17921 K(x \ ((y * (z \ 1)) * z),u) = K(x \ (z * ((z \ 1) * y)),u). [para(6403(a,1),17920(a,1,1,2,1))]. given #15396 (H,wt=22): 17922 K(x \ (y * ((y \ 1) * z)),u) = K(x \ R(z,y \ 1,y),u). [para(4912(a,1),17921(a,1,1,2)),flip(a)]. given #15397 (H,wt=21): 17923 K(x \ R(y,z \ 1,z),u) = K(x \ L(y,z \ 1,z),u). [para(235(a,1),17922(a,1,1,2)),flip(a)]. given #15398 (H,wt=26): 17912 K((x * (y * T(z,K(u,w)))) * v5,v6) != v7 | K((x * (y * z)) * v5,v6) = v7. [para(17909(a,1),15412(a,1))]. given #15399 (H,wt=31): 17915 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(K(u,z) * (w * (x * (y * z))),v5). [para(108(a,1),17910(a,1,1,2)),flip(a)]. given #15400 (H,wt=32): 17906 K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) != v7 | K(x,K(((u \ 1) \ z) * y,v5) * v6) = v7. [para(17883(a,2),16119(a,1))]. given #15401 (H,wt=33): 17881 K(x,((T(y,z) / z) * u) \ w) * K(x,K((z \ y) * u,w)) = K(x,w / ((T(y,z) / z) * u)). [para(17879(a,1),8683(a,1,2,2))]. given #15402 (H,wt=33): 17886 K(x * (T(y,K(z,u) * w) * v5),v6) = K((T(y,w) * v5) * x,v6) * K(T(y,v7) * v5,K(x,v6)). [para(17885(a,1),16138(a,1,1)),flip(a)]. given #15403 (H,wt=23): 17925 K(x * (T(y,K(z,u) * w) * v5),v6) = K(x * (T(y,w) * v5),v6). [hyper(286,a,16138,a(flip),b,17886,a),flip(a)]. given #15404 (H,wt=25): 17926 K(x * (T(y,z * T(u,w)) * v5),v6) = K(x * (T(y,z * u) * v5),v6). [para(6145(a,1),17925(a,1,1,2,1,2))]. given #15405 (H,wt=30): 17927 K(x * (T(y,z * u) * (z * T(u,w))),v5) != v6 | K(x * ((z * T(u,w)) * y),v5) = v6. [para(17926(a,1),17642(a,1))]. given #15406 (H,wt=35): 17896 T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(z / T(y,z),u)) = K(u,x \ (z / T(y,z))). [para(17895(a,1),15710(a,1,1,1,2))]. given #15407 (H,wt=33): 17928 T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(y \ z,u)) = K(u,x \ (z / T(y,z))). [para(13157(a,1),17896(a,1,2))]. given #15408 (H,wt=17): 17929 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [hyper(15713,a,17928,a),flip(a)]. given #15409 (H,wt=17): 17930 K(x,y \ (T(z,u) / u)) = K(x,y \ (u \ z)). [para(3926(a,2),17929(a,1,2,2))]. given #15410 (H,wt=36): 17652 K(x * (T(y,z * T(u,w)) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. [para(15614(a,1),17642(a,1,1,2,1))]. given #15411 (H,wt=34): 17931 K(x * (T(y,z * u) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. [para(17926(a,1),17652(a,1))]. given #15412 (H,wt=37): 16790 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) != v6 | a(x,w,v5 * K(y,K(z,u))) = v6. [para(16753(a,2),655(a,1,1,2))]. given #15413 (H,wt=37): 16858 (K(x,K(y,z)) * (x * (u * w))) \ ((T(x,K(y,z)) * u) * w) = L(a(x,u,w),x * (u * w),K(x,K(y,z))). [para(16757(a,1),448(a,1,2))]. given #15414 (H,wt=35): 17934 L(a(x,y,z),x * (y * z),K(x,K(u,w))) = (T(x,K(u,w)) * (y * z)) \ ((T(x,K(u,w)) * y) * z). [para(4675(a,1),16858(a,1,1)),flip(a)]. given #15415 (H,wt=24): 17935 L(a(x,y,z),x * (y * z),K(x,K(u,w))) = a(T(x,K(u,w)),y,z). [hyper(286,a,14,a,b,17934,a),flip(a)]. given #15416 (H,wt=13): 17936 a(T(x,K(y,z)),u,w) = a(x,u,w). [hyper(16646,a,17935,a),flip(a)]. given #15417 (H,wt=17): 17938 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(6894(a,1),17936(a,1,1))]. given #15418 (H,wt=19): 17939 a(K(x,y) * (z * x),u,w) = a(z * T(x,y),u,w). [para(8285(a,1),17936(a,1,1))]. given #15419 (H,wt=19): 17940 a(K(x,y) * (z \ x),u,w) = a(z \ T(x,y),u,w). [para(13515(a,1),17938(a,2,1))]. given #15420 (H,wt=37): 16965 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,((u \ 1) * v5) * w)) = T(y,K(((u \ 1) * v5) * w,z) * x). [para(16963(a,1),14708(a,1,2,1,2))]. given #15421 (H,wt=35): 17941 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K(((u \ 1) * v5) * w,z) * x). [para(16964(a,1),16965(a,1,2))]. given #15422 (H,wt=28): 17942 T(x,K(((y \ 1) * z) * u,w) * v5) != v6 | T(x,K((y \ u) * z,w) * v5) = v6. [para(17941(a,1),15314(a,1))]. given #15423 (H,wt=37): 16967 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(v5 \ (w \ 1)) * u)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). [para(16966(a,1),14707(a,1,2,1,2))]. given #15424 (H,wt=35): 17943 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). [para(16966(a,1),16967(a,1,2))]. given #15425 (H,wt=28): 17944 T(x,K((y \ (z \ 1)) * u,w) * v5) != v6 | T(x,K((u \ z) * y,w) * v5) = v6. [para(17943(a,1),15314(a,1))]. given #15426 (H,wt=37): 17074 L(x,y,K(K(z,u) * w,K(u,z) * (w * (K(u,z) * v5)))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). [para(17057(a,1),13389(a,1,3))]. given #15427 (H,wt=29): 17945 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(K(z,u) * w,w * v5)). [para(17076(a,1),17074(a,1,3)),flip(a)]. given #15428 (H,wt=37): 17119 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * ((v6 * K(w,v5)) * T(y \ z,v6))). [para(15727(a,1),17102(a,1,2,2)),flip(a)]. given #15429 (H,wt=37): 17705 K(x \ K(y * ((z * u) \ K(w,v5)),v6),y / (z * (K(v5,w) * u))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). [para(17702(a,1),8519(a,1,1,2))]. given #15430 (H,wt=37): 17859 K(x * (y * T(y \ (z \ y),u)),w) * K(x,K(y * T(y \ (z \ y),u),w)) = K((T(z,u) \ y) * x,w). [hyper(62,a,12158,a,b,17855,a)]. given #15431 (H,wt=35): 17948 K(x * (T(y,z \ 1) \ u),w) * K(x,K(u * T(u \ (y \ u),z),w)) = K((T(y,z) \ u) * x,w). [para(17195(a,1),17859(a,1,1))]. given #15432 (H,wt=31): 17949 K(x * (T(y,z \ 1) \ u),w) * K(x,K(T(y,z) \ u,w)) = K((T(y,z) \ u) * x,w). [para(15516(a,1),17948(a,1,2,2))]. given #15433 (H,wt=21): 17950 K(x * (T(y,z \ 1) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(12162,a,17949,a),flip(a)]. given #15434 (H,wt=37): 17933 ((x * (y * z)) \ ((x * y) * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) != v6 | a(x,y,z * K(u,K(w,v5))) = v6. [para(16826(a,1),16790(a,1))]. given #15435 (H,wt=37): 17947 K(x \ K(y * ((z * u) \ K(w,v5)),v6),y * ((z * u) \ K(w,v5))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). [hyper(17703,a,17705,a)]. given #15436 (H,wt=27): 17951 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(y * ((z * v5) \ K(w,u))) \ 1). [hyper(15373,a,17947,a),flip(a)]. given #15437 (H,wt=27): 17952 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) * (y \ 1)). [para(13627(a,1),17951(a,2,2))]. given #15438 (H,wt=25): 17953 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) / y). [hyper(286,a,13554,a(flip),b,17952,a),flip(a)]. given #15439 (H,wt=38): 17245 K(x * (L(T(y,z) / z,T(z,y),T(z,y) \ 1) \ u),w) = K(x * (T((T(z,y) \ 1) * y,T(z,y)) \ u),w). [para(3926(a,2),17230(a,1,1,2,1,1))]. given #15440 (H,wt=36): 17954 K(x * (T((T(y,z) \ 1) * z,T(y,z)) \ u),w) = K(x * (L(T(z,y) / y,T(y,z),y \ 1) \ u),w). [para(6524(a,1),17245(a,1,1,2,1)),flip(a)]. given #15441 (H,wt=38): 17871 K((x \ y) * K((z * T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K(K(u,w) * ((z * u) * v5),v6)),v7) = v8. [para(17865(a,1),17475(a,1,1,2))]. given #15442 (H,wt=38): 17878 K((x \ y) * K((z \ T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K((T(u,w) / T(z,u)) * v5,v6)),v7) = v8. [para(17876(a,1),17475(a,1,1,2))]. given #15443 (H,wt=38): 17924 K((x \ y) * K(z \ L(u,w \ 1,w),v5),T(v6,y)) != v7 | K(y * (x \ K(z \ R(u,w \ 1,w),v5)),v6) = v7. [para(17923(a,1),17475(a,1,1,2))]. given #15444 (H,wt=39): 16648 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16627(a,1),429(a,1,2,2,1))]. given #15445 (H,wt=39): 17148 K((K(x,K(x * y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(15249(a,2),17146(a,1,1,1))]. given #15446 (H,wt=37): 17956 K((K(x,K(y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(8654(a,1),17148(a,1,1,1,1))]. given #15447 (H,wt=37): 17957 K(x * (T(T(x,(x * y) * ((z \ 1) \ u)),K(y,z * u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(15530(a,1),17956(a,1,1))]. given #15448 (H,wt=37): 17958 K(x * (T(T(x,K(y,z * u)),(x * y) * ((z \ 1) \ u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(23(a,1),17957(a,1,1,2,1))]. given #15449 (H,wt=39): 17254 K(x,(T(y,z) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). [para(17251(a,1),12588(a,1,2,1,1))]. given #15450 (H,wt=20): 17959 K(x,T(y,z) * z) = K(x,(z * a(u,w,K(v5,v6))) * y). [hyper(17282,a,17254,a)]. given #15451 (H,wt=18): 17962 K(x,(y * a(z,u,K(w,v5))) * v6) = K(x,y * v6). [hyper(62,a,12122,a(flip),b,17959,a),flip(a)]. given #15452 (H,wt=39): 17461 L(x,y,K(K(z,u) * (z \ K(w,v5)),K(z,u) * ((z \ K(w,v5)) * v6))) = L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)). [para(17353(a,1),13378(a,1,3,2))]. given #15453 (H,wt=39): 17659 K(x * ((((y \ z) * y) * u) * w),v5) * K(x,K((T(z,y) * u) * w,v5)) = K(((((y \ z) * y) * u) * w) * x,v5). [para(17657(a,1),12158(a,1,2,2))]. given #15454 (H,wt=39): 17955 (K(x,K(y,z)) * (u * w)) \ (K(x,K(y,z)) * (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16612(a,1),16648(a,1,2))]. given #15455 (H,wt=31): 17963 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z). [hyper(751,a,17955,a)]. given #15456 (H,wt=22): 17964 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [hyper(16646,a,17963,a),flip(a)]. given #15457 (H,wt=15): 17966 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(16627(a,1),17964(a,1,2))]. given #15458 (H,wt=15): 17967 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(62,a,16686,a(flip),b,17966,a)]. given #15459 (H,wt=15): 17970 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(62,a,17753,a,b,17967,a)]. given #15460 (H,wt=15): 17975 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(7844(a,1),17970(a,1,2))]. given #15461 (H,wt=17): 17968 L(x,y,T(z,K(u,w)) * v5) = L(x,y,z * v5). [para(4675(a,1),17966(a,1,3))]. given #15462 (H,wt=17): 17973 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(4605(a,1),17970(a,1,2)),flip(a)]. given #15463 (H,wt=17): 17974 L(x,y * T(z,K(u,w)),v5) = L(x,y * z,v5). [para(6145(a,1),17970(a,1,2))]. given #15464 (H,wt=19): 17969 L(x,y,z \ K(u,T(w,v5))) = L(x,y,z \ K(u,w)). [para(16201(a,1),17966(a,1,3))]. given #15465 (H,wt=19): 17976 L(x,y * K(z,T(u,w)),v5) = L(x,y * K(z,u),v5). [para(15322(a,1),17970(a,1,2))]. given #15466 (H,wt=19): 17979 L(x,y * T(z,T(u,w)),v5) = L(x,y * T(z,u),v5). [para(7613(a,1),17974(a,1,2,2))]. given #15467 (H,wt=21): 17980 L(x,y * (z \ K(u,w)),v5) = L(x,y * (K(u,w) / z),v5). [para(12182(a,1),17974(a,1,2,2))]. given #15468 (H,wt=23): 17977 L(x,(y * K(z,T(u,w))) * v5,v6) = L(x,(y * K(z,u)) * v5,v6). [para(16760(a,1),17970(a,1,2))]. given #15469 (H,wt=26): 17978 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(62,a,16833,a(flip),b,17975,a)]. given #15470 (H,wt=26): 17984 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(17609,a,17978,a)]. given #15471 (H,wt=21): 17986 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(18(a,2),17984(a,1,2)),flip(a)]. given #15472 (H,wt=21): 17987 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(286,a,15033,a(flip),b,17986,a),flip(a)]. given #15473 (H,wt=27): 17981 K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,(z * K(u,w)) \ 1,v6)). [para(17976(a,2),14420(a,2,2)),flip(a)]. given #15474 (H,wt=25): 17989 K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,K(w,u) / z,v6)). [para(13591(a,1),17981(a,2,2,2))]. given #15475 (H,wt=32): 17982 K((x * (y * T(z,u))) * L(w,y * T(z,u),x),v5) = K(x * ((y * T(z,T(u,v6))) * w),v5). [para(17979(a,1),16969(a,1,1,2))]. given #15476 (H,wt=25): 17990 K(x * ((y * T(z,T(u,w))) * v5),v6) = K(x * ((y * T(z,u)) * v5),v6). [para(92(a,1),17982(a,1,1)),flip(a)]. given #15477 (H,wt=29): 17992 K(x * ((T(y,T(z,u)) * T(z,u)) * w),v5) = K(x * ((T(z,T(u,v6)) * y) * w),v5). [hyper(62,a,17166,a(flip),b,17990,a),flip(a)]. given #15478 (H,wt=25): 17993 K(x * ((T(y,T(z,u)) * w) * v5),v6) = K(x * ((T(y,z) * w) * v5),v6). [hyper(17164,a,17992,a),flip(a)]. given #15479 (H,wt=28): 17995 K(x * ((T(y,z) * T(z,u)) * w),v5) != v6 | K(x * ((T(z,u) * y) * w),v5) = v6. [para(17993(a,1),17164(a,1))]. given #15480 (H,wt=32): 17996 K(x * ((T(y,z) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. [para(17993(a,1),17167(a,1))]. given #15481 (H,wt=33): 17988 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(17987(a,2),15526(a,1,1))]. given #15482 (H,wt=33): 17999 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(6041(a,1),17988(a,1,1,1))]. given #15483 (H,wt=31): 18000 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(8369(a,1),17999(a,1,1,1))]. given #15484 (H,wt=31): 18001 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(62,a,25,a,b,18000,a)]. given #15485 (H,wt=25): 18002 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(15345(a,1),18001(a,1,1))]. given #15486 (H,wt=40): 17649 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,((x * y) \ z) * y)). [para(17646(a,1),14938(a,1,1)),flip(a)]. given #15487 (H,wt=40): 18004 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,y * ((y * x) \ z))). [para(15881(a,1),17649(a,2,2))]. given #15488 (H,wt=34): 18005 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(z,u)). [para(15942(a,1),18004(a,2,2))]. given #15489 (H,wt=28): 18006 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(z / x,y),u). [hyper(286,a,15687,a(flip),b,18005,a),flip(a)]. given #15490 (H,wt=41): 17808 T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,(y \ z) \ 1)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). [para(6458(a,1),17684(a,1,1,2,2))]. given #15491 (H,wt=39): 18008 T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). [para(6717(a,1),17808(a,1,1,2,2))]. given #15492 (H,wt=35): 18009 K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)) = K(x * (((x \ 1) / y) * z),u \ 1). [hyper(16654,a,18008,a)]. given #15493 (H,wt=41): 17832 K(x,((y \ K(z,K(u,w))) * T(v5 \ 1,v6)) \ (v7 * T(v5 \ 1,v6))) = K(x,((v5 * y) \ K(z,K(u,w))) \ (v7 * (v5 \ 1))). [para(17831(a,1),16974(a,2,2,1))]. given #15494 (H,wt=41): 18010 K(x,((y \ 1) * T(z \ K(u,K(w,v5)),v6)) \ (v7 * T(z \ 1,v6))) = K(x,((z * y) \ K(u,K(w,v5))) \ (v7 * (z \ 1))). [para(16968(a,1),17832(a,1,2,1))]. given #15495 (H,wt=42): 16789 L(T(x,K(y,K(z,u))) \ (w * v5),T(x,K(y,K(z,u))),K(y,K(z,u))) = (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))). [para(16753(a,1),449(a,2,2))]. given #15496 (H,wt=36): 18011 L(x \ (y * z),T(x,K(u,K(w,v5))),K(u,K(w,v5))) = (x * K(u,K(w,v5))) \ (y * (z * K(u,K(w,v5)))). [para(15048(a,1),16789(a,1,1,1))]. given #15497 (H,wt=23): 18012 (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) = x \ (w * v5). [hyper(16646,a,18011,a),flip(a)]. given #15498 (H,wt=23): 18015 (x \ (y * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) = x \ (y * z). [hyper(62,a,16825,a(flip),b,18012,a)]. given #15499 (H,wt=22): 18016 a(x,y,z * K(u,K(w,v5))) = (x * (y * z)) \ ((x * y) * z). [hyper(17933,a,18015,a)]. given #15500 (H,wt=15): 18017 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(286,a,14,a,b,18016,a),flip(a)]. given #15501 (H,wt=15): 18018 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(7962(a,1),18017(a,1,3))]. given #15502 (H,wt=15): 18022 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(286,a,14178,a,b,18018,a),flip(a)]. given #15503 (H,wt=17): 18019 a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). [para(8278(a,1),18017(a,1,3)),flip(a)]. given #15504 (H,wt=17): 18020 a(x,y,K(z \ u,w)) = a(x,y,K(u / z,w)). [para(8735(a,1),18017(a,1,3)),flip(a)]. given #15505 (H,wt=17): 18021 K(x,T(a(y,z,u),w)) = a(x,z,K(u,T(y,v5))). [hyper(286,a,16690,a,b,18018,a)]. given #15506 (H,wt=17): 18023 a(x,y,K((z \ u) \ u,w)) = a(x,y,K(z,w)). [para(7754(a,2),18018(a,1,3))]. given #15507 (H,wt=18): 18025 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(18022(a,2),14238(a,1))]. given #15508 (H,wt=18): 18032 a(x,y,K(z,u)) != w | a(x,y,K(z,T(u,v5))) = w. [para(8149(a,1),18025(a,1,3))]. given #15509 (H,wt=19): 18030 a(x / y,z,K(u,T(w,v5))) = K(y \ x,a(w,z,u)). [hyper(8254,a,18021,a),flip(a)]. given #15510 (H,wt=19): 18031 a(x,y,K(z \ (u \ z),w)) = a(x,y,K(u,w \ 1)). [para(6787(a,1),18023(a,1,3))]. given #15511 (H,wt=17): 18034 a(x,y,K(z \ (u \ z),w)) = a(u,y,K(x,w)). [hyper(286,a,14193,a(flip),b,18031,a),flip(a)]. given #15512 (H,wt=19): 18033 a(x / y,z,K(u,T(w,v5))) = a(y \ x,z,K(u,w)). [hyper(286,a,14187,a,b,18030,a),flip(a)]. given #15513 (H,wt=17): 18036 a(x \ y,z,K(u,w)) = a(y / x,z,K(u,w)). [hyper(18025,a,18033,a),flip(a)]. given #15514 (H,wt=20): 18035 a(x,y,K(z \ (u \ z),w)) != v5 | a(u,y,K(x,w)) = v5. [para(18031(a,2),14287(a,1))]. given #15515 (H,wt=21): 18027 T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,z \ y)). [para(18019(a,2),14232(a,2,2))]. given #15516 (H,wt=19): 18038 T(x,a(y * (z \ 1),u,w)) = T(x,a(z \ y,u,w)). [hyper(286,a,14206,a(flip),b,18027,a),flip(a)]. given #15517 (H,wt=22): 18039 T(x,a(y * (z \ 1),u,w)) != v5 | T(x,a(z \ y,u,w)) = v5. [para(18027(a,2),14208(a,1))]. given #15518 (H,wt=23): 18028 a(x,y,K(z \ u,w)) * K(w,u / z) = K(w,L(u / z,y,x)). [para(18020(a,2),11814(a,1,1))]. given #15519 (H,wt=25): 18037 a(x,y,K(z,T(u,w) \ (v5 \ 1))) = a(x,y,K(z,v5 \ T(u \ 1,w))). [hyper(15633,a,18027,a)]. given #15520 (H,wt=23): 18040 a(x,y,K(z,u \ T(w \ 1,v5))) = a(z,y,K(x,u * T(w,v5))). [hyper(14289,a,18037,a),flip(a)]. given #15521 (H,wt=25): 18041 K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * T(w,v5))). [hyper(62,a,13770,a,b,18040,a)]. given #15522 (H,wt=26): 18013 (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) != v6 | x \ (w * v5) = v6. [para(18011(a,1),16646(a,1))]. given #15523 (H,wt=27): 18029 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(w \ u,y)) * K(x,y). [para(18020(a,2),17427(a,2,1))]. given #15524 (H,wt=23): 18042 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = K(x,L(y,z,w \ u)). [hyper(286,a,14200,a(flip),b,18029,a),flip(a)]. given #15525 (H,wt=19): 18043 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). [para(159(a,1),18042(a,1,2,3,2,2))]. given #15526 (H,wt=19): 18044 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(62,a,16907,a,b,18043,a)]. given #15527 (H,wt=14): 18051 K(x,L(y,z \ u,u \ z)) = K(x,y). [hyper(13775,a,18044,a),flip(a)]. given #15528 (H,wt=19): 18047 K(x,L(y,z,(u * w) \ w)) = K(x,L(y,z,u \ 1)). [hyper(62,a,14341,a(flip),b,18043,a),flip(a)]. given #15529 (H,wt=19): 18053 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [para(9(a,1),18044(a,1,2,3,1)),flip(a)]. given #15530 (H,wt=20): 18056 K(x,L(y,z,L(u \ 1,u,w))) = K(x,L(y,z,u \ 1)). [para(195(a,2),18053(a,1,2,3))]. given #15531 (H,wt=23): 18048 K(x,L(y,z,u * (w \ 1))) * v5 = K(x,L(y,z,w \ u)) * v5. [hyper(56,a,18043,a)]. given #15532 (H,wt=23): 18050 K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,w * (u \ 1))). [para(17968(a,1),18043(a,1,2)),flip(a)]. given #15533 (H,wt=21): 18058 K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,u \ w)). [hyper(286,a,18043,a(flip),b,18050,a),flip(a)]. given #15534 (H,wt=25): 18046 K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,v6 * (u \ K(w,v5)))). [hyper(62,a,17698,a(flip),b,18043,a),flip(a)]. given #15535 (H,wt=25): 18049 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (K(v5,w) / u))). [para(13591(a,1),18043(a,1,2,3,2)),flip(a)]. given #15536 (H,wt=25): 18057 K(x,L(y,z,u \ (w \ 1))) * v5 = K(x,L(y,z,w \ (u \ 1))) * v5. [para(14333(a,1),18048(a,1,1))]. given #15537 (H,wt=24): 18060 K(x,L(y,z,u \ (z \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). [hyper(286,a,15678,a(flip),b,18057,a),flip(a)]. given #15538 (H,wt=25): 18059 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (K(v5,v6) / w))). [para(12182(a,1),18058(a,1,2,3,2))]. given #15539 (H,wt=27): 18045 K(x,L(y,z,(u * K(w,v5)) \ (v6 \ 1))) = K(x,L(y,z,v6 \ (K(v5,w) / u))). [hyper(62,a,14336,a,b,18043,a)]. given #15540 (H,wt=27): 18063 K(x,L(y,z,(u \ 1) \ (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). [hyper(286,a,14331,a(flip),b,18059,a),flip(a)]. given #15541 (H,wt=25): 18066 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). [hyper(14332,a,18063,a)]. given #15542 (H,wt=25): 18067 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (u \ K(v5,w)))). [hyper(286,a,18049,a,b,18066,a)]. given #15543 (H,wt=28): 18024 ((x * y) * K(z,T(u,x))) * a(z,x,K(y,u)) = (x * K(z,T(u,y * x))) * y. [para(18018(a,1),17608(a,1,2))]. given #15544 (H,wt=28): 18055 K(x,L(T((y * z) \ u,z),y * z,y \ 1)) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,11947,a(flip),b,18047,a),flip(a)]. given #15545 (H,wt=28): 18068 (x * y) * (a(z,x,K(y,u)) * K(z,T(u,x))) = (x * K(z,T(u,y * x))) * y. [hyper(62,a,17468,a(flip),b,18024,a)]. given #15546 (H,wt=28): 18070 (x * y) * T(K(z,u) * a(z,x,K(y,u)),x) = (x * K(z,T(u,y * x))) * y. [para(17677(a,2),18068(a,1,2))]. given #15547 (H,wt=24): 18071 (x * y) * T(K(z,L(u,x,y)),x) = (x * K(z,T(u,y * x))) * y. [para(14198(a,1),18070(a,1,2,1))]. given #15548 (H,wt=24): 18072 (x * y) * K(z,L(T(u,x),x,y)) = (x * K(z,T(u,y * x))) * y. [para(7735(a,2),18071(a,1,2))]. given #15549 (H,wt=23): 18073 (x * K(y,T(z,u * x))) * u = u * (T(x,u) * K(y,T(z,x))). [hyper(62,a,11772,a(flip),b,18072,a),flip(a)]. given #15550 (H,wt=21): 18074 (x * K(y,T(z,u * x))) * u = u * (K(y,z) * T(x,u)). [para(15133(a,1),18073(a,2,2))]. given #15551 (H,wt=21): 18075 x * (K(y,T(z,x * u)) * T(u,x)) = (u * K(y,z)) * x. [para(8149(a,1),18074(a,1,1,2)),flip(a)]. given #15552 (H,wt=29): 18054 K(x,L(y,((z * u) \ 1) \ a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). [para(14060(a,2),18051(a,1,2,2))]. given #15553 (H,wt=30): 18062 (x \ 1) * (K(y,L(z,u,x \ (u \ 1))) \ 1) = ((K(y,z) / u) * ((u \ 1) \ x)) \ 1. [para(18060(a,1),6394(a,2,1))]. given #15554 (H,wt=28): 18076 (x \ 1) * K(y,L(z,u,x \ (u \ 1))) = ((K(z,y) / u) * ((u \ 1) \ x)) \ 1. [para(11785(a,1),18062(a,1,2))]. given #15555 (H,wt=26): 18077 ((K(x,y) / z) * ((z \ 1) \ u)) \ 1 = u \ K(y,L(x,z,u \ (z \ 1))). [hyper(13525,a,18076,a),flip(a)]. given #15556 (H,wt=26): 18078 x \ K(y,L(z,u,x \ (u \ 1))) = (((u \ 1) \ x) \ 1) * (u * K(y,z)). [hyper(62,a,13592,a(flip),b,18077,a),flip(a)]. given #15557 (H,wt=24): 18079 x \ K(y,L(z,u,x \ (u \ 1))) = ((x \ 1) / u) * (u * K(y,z)). [para(6411(a,1),18078(a,2,1))]. given #15558 (H,wt=30): 18080 K(x,y) * (((y \ 1) / z) * (z * K(u,w))) = T(y,x) \ K(u,L(w,z,y \ (z \ 1))). [para(18079(a,1),5741(a,1,2))]. given #15559 (H,wt=29): 18082 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = T(x,y) \ K(z,L(u,w,x \ (w \ 1))). [hyper(13914,a,18080,a)]. given #15560 (H,wt=31): 18026 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(18022(a,1),14454(a,1,2))]. given #15561 (H,wt=24): 18083 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(62,a,14329,a(flip),b,18026,a),flip(a)]. given #15562 (H,wt=22): 18085 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7736(a,1),18083(a,1,1))]. given #15563 (H,wt=20): 18087 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(11209(a,1),18085(a,1,2))]. given #15564 (H,wt=13): 18088 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(435,a,18087,a),flip(a)]. given #15565 (H,wt=13): 18092 R(x,y,K(z,K(u,w))) != v5 | x = v5. [para(18088(a,2),16646(a,1))]. given #15566 (H,wt=19): 18093 x * (y * a(z,y,K(x,u))) = L(x,y,K(u,z)) * y. [para(18088(a,1),17240(a,2,1))]. given #15567 (H,wt=15): 18095 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(34,a,17681,a,b,18093,a(flip))]. given #15568 (H,wt=13): 18098 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(13478,a,18095,a),flip(a)]. given #15569 (H,wt=14): 18111 L(a(x,y,z),u,K(y,w)) = a(x,y,z). [hyper(286,a,14226,a(flip),b,18098,a),flip(a)]. given #15570 (H,wt=11): 18121 a(x,T(y,x),z) = a(x,y,z). [hyper(11505,a,18111,a)]. given #15571 (H,wt=13): 18123 a(x \ y,x,z) = a(y / x,x,z). [hyper(7488,a,18121,a),flip(a)]. given #15572 (H,wt=13): 18124 a(x,y * x,z) = a(x,x * y,z). [hyper(62,a,13289,a(flip),b,18121,a)]. given #15573 (H,wt=15): 18097 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(14274,a,18095,a)]. given #15574 (H,wt=15): 18099 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(115,a,18095,a(flip),b,14194,a)]. given #15575 (H,wt=15): 18100 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [para(18095(a,1),12599(a,1,1))]. given #15576 (H,wt=15): 18102 K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. [para(18095(a,1),17260(a,1,1))]. given #15577 (H,wt=15): 18104 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(18095(a,1),17282(a,1,2))]. given #15578 (H,wt=15): 18126 a(x,x * y,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,14228,a(flip),b,18124,a),flip(a)]. given #15579 (H,wt=15): 18127 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(16693,a,18097,a)]. given #15580 (H,wt=15): 18134 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [para(10(a,1),18126(a,1,2)),flip(a)]. given #15581 (H,wt=16): 18103 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(18095(a,1),17269(a,1,2,2))]. given #15582 (H,wt=16): 18106 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(18095(a,1),17308(a,1,2,2))]. given #15583 (H,wt=16): 18136 T(x,y \ L(z,u,K(w,v5))) = T(x,y \ z). [para(18127(a,1),17464(a,1,2,2))]. given #15584 (H,wt=17): 18118 T(x \ 1,a(y,z,u)) = L(x,z,K(u,y)) \ 1. [para(18098(a,2),14505(a,2,1))]. given #15585 (H,wt=17): 18141 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(62,a,18098,a,b,18118,a)]. given #15586 (H,wt=17): 18142 R(x,y,K(z,u) \ 1) = L(x,y \ 1,K(z,u)). [hyper(6683,a,18141,a)]. given #15587 (H,wt=15): 18144 L(x,y \ 1,K(z,u)) = R(x,y,K(u,z)). [para(4781(a,1),18142(a,1,3)),flip(a)]. given #15588 (H,wt=15): 18145 L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(286,a,18088,a(flip),b,18144,a),flip(a)]. given #15589 (H,wt=18): 18110 L(a(x,K(y,z),u),w,K(v5,v6)) = a(x,K(y,z),u). [hyper(286,a,17366,a(flip),b,18098,a),flip(a)]. given #15590 (H,wt=18): 18112 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(286,a,10756,a(flip),b,18098,a),flip(a)]. given #15591 (H,wt=18): 18119 a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). [para(18098(a,2),14627(a,1,1))]. given #15592 (H,wt=19): 18105 K(x,y * L(z,u,K(w,v5))) != v6 | K(x,y * z) = v6. [para(18095(a,1),17283(a,1,2,2))]. given #15593 (H,wt=19): 18115 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(18098(a,2),14216(a,2,2))]. given #15594 (H,wt=19): 18116 (x * y) * a(z,u,K(w,y)) = x * L(y,u,K(z,w)). [para(18098(a,2),14220(a,2,2))]. given #15595 (H,wt=19): 18117 x \ (a(y,z,K(x,u)) * w) = L(x,z,K(y,u)) \ w. [para(18098(a,2),14260(a,2,1))]. given #15596 (H,wt=19): 18120 (x \ y) * a(z,u,K(x,w)) = L(x,u,K(z,w)) \ y. [para(18098(a,2),16729(a,2,1))]. given #15597 (H,wt=16): 18152 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(18120(a,1),17266(a,1,2))]. given #15598 (H,wt=19): 18128 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [para(18097(a,1),14217(a,1,1)),flip(a)]. given #15599 (H,wt=19): 18137 a(x,y \ z,K(y,u)) = a(y,z,K(w \ (x \ w),u)). [hyper(18035,a,18134,a)]. given #15600 (H,wt=15): 18157 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(286,a,18034,a(flip),b,18137,a),flip(a)]. given #15601 (H,wt=15): 18159 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(9(a,1),18157(a,1,2)),flip(a)]. given #15602 (H,wt=17): 18160 T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). [para(18157(a,1),14206(a,1,2)),flip(a)]. given #15603 (H,wt=15): 18163 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(286,a,14206,a(flip),b,18160,a),flip(a)]. given #15604 (H,wt=15): 18164 L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). [hyper(62,a,18098,a,b,18163,a)]. given #15605 (H,wt=15): 18165 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(286,a,18098,a,b,18164,a),flip(a)]. given #15606 (H,wt=15): 18167 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(9(a,1),18165(a,1,2)),flip(a)]. given #15607 (H,wt=16): 18168 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(7354,a,18167,a),flip(a)]. given #15608 (H,wt=15): 18170 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(17399,a,18168,a),flip(a)]. given #15609 (H,wt=15): 18171 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [hyper(62,a,13639,a(flip),b,18168,a),flip(a)]. given #15610 (H,wt=15): 18172 R(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(62,a,17206,a,b,18170,a)]. given #15611 (H,wt=17): 18166 L(x,y \ z,K(u,y)) = L(x,z,K(y,u \ 1)). [hyper(62,a,13401,a(flip),b,18165,a)]. given #15612 (H,wt=15): 18175 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [hyper(286,a,13401,a(flip),b,18166,a),flip(a)]. given #15613 (H,wt=18): 18158 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(18137(a,2),18035(a,1))]. given #15614 (H,wt=19): 18151 x \ (a(y,z,K(u,x)) * w) = L(x,z,K(u,y)) \ w. [para(14178(a,1),18117(a,1,2,1))]. given #15615 (H,wt=19): 18162 K(x,L(y,z / u,u)) = a(x,z,K(u,y)) * K(x,y). [para(18157(a,1),14269(a,1,1)),flip(a)]. given #15616 (H,wt=15): 18178 K(x,L(y,z / u,u)) = K(x,L(y,z,u)). [hyper(286,a,14200,a(flip),b,18162,a),flip(a)]. given #15617 (H,wt=15): 18180 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(14320,a,18178,a)]. given #15618 (H,wt=15): 18183 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [para(11(a,1),18178(a,1,2,2)),flip(a)]. given #15619 (H,wt=17): 18184 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(73(a,1),18178(a,1,2,2)),flip(a)]. given #15620 (H,wt=18): 18179 K(x,L(y,z / u,u)) != w | K(x,L(y,z,u)) = w. [para(18162(a,2),14251(a,1))]. given #15621 (H,wt=18): 18185 K(x,L(y,z,u)) * z = (K(x,y) * (z / u)) * u. [para(18178(a,1),14401(a,1,1))]. given #15622 (H,wt=18): 18187 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11766,a,18180,a),flip(a)]. given #15623 (H,wt=18): 18189 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(445(a,1),18180(a,1,2)),flip(a)]. given #15624 (H,wt=18): 18195 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(11395(a,2),18179(a,1,2))]. given #15625 (H,wt=18): 18196 (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). [hyper(116,a,18185,a,b,xx)]. given #15626 (H,wt=19): 18169 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(18167(a,1),7354(a,1))]. given #15627 (H,wt=20): 18089 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(62,a,6905,a(flip),b,18088,a),flip(a)]. given #15628 (H,wt=19): 18205 K((x * K(y,z)) / u,w) = K(x / (u * K(z,y)),w). [para(18089(a,1),16663(a,1,1)),flip(a)]. given #15629 (H,wt=19): 18206 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(18089(a,1),16664(a,1,2)),flip(a)]. given #15630 (H,wt=19): 18207 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(286,a,15461,a(flip),b,18205,a),flip(a)]. given #15631 (H,wt=19): 18209 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(286,a,15465,a(flip),b,18206,a),flip(a)]. given #15632 (H,wt=19): 18213 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(15457,a,18209,a)]. given #15633 (H,wt=20): 18090 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(18088(a,1),104(a,1,1))]. given #15634 (H,wt=10): 18216 L(x,y,K(z,x * y)) = x. [hyper(34,a,13561,a(flip),b,18090,a),flip(a)]. given #15635 (H,wt=10): 18218 L(x,x \ y,K(z,y)) = x. [para(10(a,1),18216(a,1,3,2))]. given #15636 (H,wt=12): 18219 L(x,x \ T(y,z),K(u,y)) = x. [hyper(62,a,16689,a(flip),b,18218,a)]. given #15637 (H,wt=20): 18125 1 / a(x \ (y \ 1),x,y) = (x * y) * ((y \ 1) / x). [para(18123(a,2),13991(a,1,2))]. given #15638 (H,wt=20): 18153 K(x,(L(y,z,K(u,w)) \ v5) * v6) = K(x,(y \ v5) * v6). [para(18120(a,1),17962(a,1,2,1))]. given #15639 (H,wt=20): 18181 K(x,L((y / z) \ u,y,z)) = K(x,T(y,z) \ (z * u)). [hyper(62,a,14763,a(flip),b,18178,a),flip(a)]. given #15640 (H,wt=20): 18186 K(x * (y \ z),L(u,z,y)) = K((x * (y \ 1)) * z,u). [hyper(13862,a,18180,a),flip(a)]. given #15641 (H,wt=20): 18220 a(x \ (y \ 1),x,y) \ 1 = (x * y) * ((y \ 1) / x). [hyper(4898,a,18125,a)]. given #15642 (H,wt=18): 18223 (x * y) \ ((x \ 1) \ y) = a(x \ (y \ 1),x,y). [hyper(7523,a,18220,a)]. given #15643 (H,wt=19): 18224 a(x \ (y \ 1),x,y) = a(x,x \ 1,(x \ 1) \ y). [hyper(846,a,18223,a),flip(a)]. given #15644 (H,wt=21): 18114 (x * y) \ (L(x,z,K(u,w)) * y) = K(x,T(a(w,z,u),y)). [para(18098(a,2),9379(a,1,2,1))]. given #15645 (H,wt=19): 18227 (x * y) \ (L(x,z,K(u,w)) * y) = a(x,z,K(u,w)). [hyper(286,a,16690,a(flip),b,18114,a),flip(a)]. given #15646 (H,wt=21): 18132 K(x,L(L(y,z,K(u,w)),v5,v6)) != v7 | K(x,L(y,v5,v6)) = v7. [para(30(a,1),18104(a,1,2))]. given #15647 (H,wt=21): 18148 a(L(x,y,T(z,u)),w,w \ 1) = a(L(x,y,z),w,w \ 1). [para(7353(a,1),18119(a,1,1))]. given #15648 (H,wt=21): 18156 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. [hyper(62,a,17436,a,b,18128,a)]. given #15649 (H,wt=21): 18161 K(x,L(y,z \ u,z \ 1)) = K(x,y) * a(y,u,K(z,x)). [para(18157(a,1),14234(a,1,2)),flip(a)]. given #15650 (H,wt=19): 18231 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(286,a,14234,a(flip),b,18161,a),flip(a)]. given #15651 (H,wt=19): 18232 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(9(a,1),18231(a,1,2,2)),flip(a)]. given #15652 (H,wt=20): 18233 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(18231(a,1),14613(a,1,2))]. given #15653 (H,wt=15): 18242 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(11744(a,1),18233(a,1,2)),flip(a)]. given #15654 (H,wt=17): 18247 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(4672(a,1),18242(a,1,2)),flip(a)]. given #15655 (H,wt=19): 18244 (T(x,K(y,z)) \ y) * K(z,y) = (x * K(y,z)) \ y. [hyper(62,a,13824,a(flip),b,18242,a),flip(a)]. given #15656 (H,wt=19): 18245 (a(x,y,x) \ z) * K(x,z) = (x * z) / R(x,y,x). [hyper(62,a,13069,a(flip),b,18242,a),flip(a)]. given #15657 (H,wt=17): 18256 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(62,a,13090,a(flip),b,18245,a)]. given #15658 (H,wt=19): 18251 K(x,T(y,z \ (u \ w))) = K(x,T(y,z \ (w / u))). [para(18247(a,1),15739(a,1,2,2)),flip(a)]. given #15659 (H,wt=19): 18255 T(x \ y,K(y,z)) * K(z,y) = (x * K(y,z)) \ y. [para(15326(a,2),18244(a,1,1))]. given #15660 (H,wt=15): 18258 (x * K(y,z)) \ y = K(z,y) * (x \ y). [hyper(7927,a,18255,a),flip(a)]. given #15661 (H,wt=19): 18257 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(286,a,16780,a,b,18251,a)]. given #15662 (H,wt=20): 18239 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(33,a,11918,a(flip),b,18233,a),flip(a)]. given #15663 (H,wt=20): 18263 K(x,T(y,z \ (u \ 1))) != w | K(x,T(y,z * u)) = w. [para(18257(a,1),8478(a,1))]. given #15664 (H,wt=21): 18191 K(x,L(y \ (z \ u),u,z)) != w | K(x,(z * y) \ u) = w. [para(18180(a,1),11766(a,1))]. given #15665 (H,wt=21): 18211 K((x \ y) * K(z,u),T(w,y)) = K((y * K(z,u)) / x,w). [hyper(286,a,17473,a,b,18207,a)]. given #15666 (H,wt=21): 18212 K((x * y) * (z \ K(y,u)),w) = K((x * T(y,u)) / z,w). [para(6811(a,1),18207(a,1,1,1)),flip(a)]. given #15667 (H,wt=21): 18226 a(x \ y,x,y \ 1) = a(x,x \ 1,(x \ 1) \ (y \ 1)). [para(4893(a,1),18224(a,1,1,2))]. given #15668 (H,wt=19): 18271 a(x \ y,x,y \ 1) = a(x,x \ 1,(y / x) \ 1). [para(6431(a,1),18226(a,2,3))]. given #15669 (H,wt=17): 18272 a(x \ y,x,y \ 1) = a(y / x,x,x \ 1). [hyper(286,a,7002,a(flip),b,18271,a),flip(a)]. given #15670 (H,wt=17): 18273 a(x \ y,x,y \ 1) = a(x \ y,x,x \ 1). [hyper(286,a,18123,a,b,18272,a),flip(a)]. given #15671 (H,wt=19): 18274 a(x \ (y \ 1),x,x \ 1) = a(x \ (y \ 1),x,y). [hyper(12414,a,18273,a),flip(a)]. given #15672 (H,wt=17): 18275 a(x \ (y \ 1),x,y) = a(y \ 1,x \ 1,x). [hyper(62,a,14686,a(flip),b,18274,a),flip(a)]. given #15673 (H,wt=15): 18276 a(x \ (y \ 1),x,y) = a(x \ 1,x,y). [hyper(286,a,6527,a(flip),b,18275,a),flip(a)]. given #15674 (H,wt=17): 18277 a(x,x \ 1,(x \ 1) \ y) = a(x \ 1,x,y). [hyper(62,a,18224,a(flip),b,18276,a)]. given #15675 (H,wt=16): 18278 x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x). [hyper(62,a,14694,a(flip),b,18277,a)]. given #15676 (H,wt=16): 18279 x * a(y \ 1,y,x) = y \ ((y \ 1) \ x). [hyper(131,a,18278,a)]. given #15677 (H,wt=16): 18281 (x \ ((x \ 1) \ y)) / y = a(x \ 1,x,y). [para(18279(a,1),13793(a,1,1))]. given #15678 (H,wt=21): 18235 K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,(z \ 1) \ 1)). [hyper(62,a,16699,a(flip),b,18232,a)]. given #15679 (H,wt=17): 18282 K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,z)). [hyper(286,a,16699,a(flip),b,18235,a),flip(a)]. given #15680 (H,wt=22): 18091 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(18088(a,1),459(a,1,1))]. given #15681 (H,wt=19): 18286 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(18091(a,1),18152(a,1,2)),flip(a)]. given #15682 (H,wt=19): 18287 x \ (T(y,z) * K(u,y)) = (x \ T(y,z)) * K(u,y). [para(18219(a,1),18091(a,1,1))]. given #15683 (H,wt=19): 18288 K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(u,z)). [hyper(16805,a,18286,a)]. given #15684 (H,wt=19): 18289 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(15432,a,18286,a)]. given #15685 (H,wt=19): 18290 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [hyper(62,a,16775,a,b,18286,a)]. given #15686 (H,wt=21): 18291 K(x,(K(y,z) * (u \ 1)) * w) = K(x,(u \ w) * K(y,z)). [hyper(13863,a,18288,a)]. given #15687 (H,wt=19): 18310 K(x,(y \ z) * K(u,w)) = K(x,(K(u,w) / y) * z). [para(13636(a,1),18291(a,1,2,1)),flip(a)]. given #15688 (H,wt=19): 18311 K(x,(K(y,z) / u) * w) = K(x,K(z,y) * (u \ w)). [hyper(15222,a,18310,a),flip(a)]. given #15689 (H,wt=21): 18292 K(x,((y / z) \ u) * K(z,w)) = K(x,(y / T(z,w)) \ u). [para(6605(a,1),18288(a,1,2,1)),flip(a)]. given #15690 (H,wt=21): 18293 K(x,((y \ 1) \ z) * K(u,w)) = K(x,(y \ K(w,u)) \ z). [para(13512(a,1),18288(a,1,2,1)),flip(a)]. given #15691 (H,wt=21): 18295 K(x,y \ (K(z,T(u,w)) * v5)) = K(x,(y \ v5) * K(z,u)). [hyper(286,a,15399,a(flip),b,18289,a),flip(a)]. given #15692 (H,wt=21): 18296 K(x \ 1,y \ (K(z,u) * w)) = K(x,(w \ y) * K(u,z)). [hyper(62,a,16912,a,b,18289,a)]. given #15693 (H,wt=21): 18297 x * K(x,(y \ z) * K(u,w)) = T(x,y \ (K(u,w) * z)). [para(18289(a,1),4659(a,2,2)),flip(a)]. given #15694 (H,wt=19): 18317 T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). [hyper(4663,a,18297,a),flip(a)]. given #15695 (H,wt=21): 18298 K(x,(y \ (z * u)) * K(z,w)) = K(x,y \ (T(z,w) * u)). [para(4675(a,1),18289(a,1,2,2)),flip(a)]. given #15696 (H,wt=21): 18303 x * K(x,(y \ z) * K(u,w)) = T(x,(K(w,u) * y) \ z). [para(18290(a,1),4659(a,2,2)),flip(a)]. given #15697 (H,wt=19): 18320 T(x,(K(y,z) * u) \ w) = T(x,(u \ w) * K(z,y)). [hyper(4663,a,18303,a),flip(a)]. given #15698 (H,wt=21): 18304 K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,w) * z) \ u). [para(4675(a,1),18290(a,1,2,1)),flip(a)]. given #15699 (H,wt=21): 18309 K(x,K(y,z) * ((u \ 1) * w)) = K(x,(u \ w) * K(z,y)). [hyper(17117,a,18291,a)]. given #15700 (H,wt=19): 18324 K(x,((y \ z) \ u) * K(z,y)) = K(x,(z / y) \ u). [hyper(62,a,14743,a(flip),b,18309,a),flip(a)]. given #15701 (H,wt=21): 18314 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [hyper(15095,a,18292,a)]. given #15702 (H,wt=17): 18326 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [hyper(62,a,13134,a(flip),b,18314,a),flip(a)]. given #15703 (H,wt=21): 18316 K(x \ 1,(y \ z) * K(u,w)) = K(x,(z \ y) * K(w,u)). [hyper(62,a,18289,a(flip),b,18296,a)]. given #15704 (H,wt=21): 18319 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [hyper(15222,a,18298,a)]. given #15705 (H,wt=21): 18321 T(x,T(y,z) * (z \ K(u,w))) = T(x,(z \ y) * K(u,w)). [hyper(62,a,16125,a,b,18320,a)]. given #15706 (H,wt=21): 18322 T(x,((y \ 1) * K(z,u)) * w) = T(x,(y \ w) * K(z,u)). [hyper(62,a,13688,a,b,18320,a)]. given #15707 (H,wt=21): 18323 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(15222,a,18304,a)]. given #15708 (H,wt=17): 18332 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(11413(a,1),18323(a,1,2)),flip(a)]. given #15709 (H,wt=19): 18333 T(x,(T(y,z) * z) \ u) = x * K(x,(z * y) \ u). [para(18332(a,1),4659(a,2,2))]. given #15710 (H,wt=17): 18337 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [hyper(4730,a,18333,a),flip(a)]. given #15711 (H,wt=21): 18325 K(x,((y \ 1) \ z) * K(u,w)) = K(x,K(w,u) * (y * z)). [para(4893(a,1),18309(a,1,2,2,1)),flip(a)]. given #15712 (H,wt=19): 18340 K(x,(y \ K(z,u)) \ w) = K(x,K(z,u) * (y * w)). [hyper(62,a,18293,a(flip),b,18325,a)]. given #15713 (H,wt=19): 18341 K(x,(K(y,z) / u) \ w) = K(x,K(y,z) * (u * w)). [hyper(15422,a,18340,a)]. given #15714 (H,wt=21): 18327 K(x,((y \ z) * K(u,w)) \ 1) = K(x,(z \ y) * K(w,u)). [hyper(6476,a,18316,a)]. given #15715 (H,wt=21): 18330 T(x,K(y,z) * ((u \ 1) * w)) = T(x,(u \ w) * K(y,z)). [hyper(62,a,17026,a(flip),b,18322,a)]. given #15716 (H,wt=19): 18344 T(x,y \ (z * K(u,w))) = T(x,(y \ z) * K(u,w)). [hyper(17034,a,18330,a)]. given #15717 (H,wt=19): 18345 T(x,(y * K(z,u)) \ w) = T(x,(y \ w) * K(u,z)). [hyper(17029,a,18330,a)]. given #15718 (H,wt=19): 18346 T(x,((y * z) \ y) * K(u,w)) = T(x,z \ K(u,w)). [hyper(62,a,17039,a(flip),b,18345,a),flip(a)]. given #15719 (H,wt=21): 18331 K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). [hyper(15096,a,18323,a)]. given #15720 (H,wt=21): 18335 K((T(x,y) * y) \ z,u) = (w * K(u,(y * x) \ z)) \ w. [para(18332(a,1),6895(a,1,1,2)),flip(a)]. given #15721 (H,wt=17): 18347 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [hyper(286,a,15072,a(flip),b,18335,a),flip(a)]. given #15722 (H,wt=19): 18350 K((x * y) \ z,u \ 1) = K(z \ (T(y,x) * x),u). [hyper(6802,a,18347,a),flip(a)]. given #15723 (H,wt=17): 18356 K(x \ (T(y,z) * z),u) = K(x \ (z * y),u). [hyper(6802,a,18350,a),flip(a)]. given #15724 (H,wt=19): 18357 K(x \ ((y \ z) * y),u) = K(x \ (y * (z / y)),u). [para(110(a,1),18356(a,1,1,2,1))]. given #15725 (H,wt=17): 18358 K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). [hyper(286,a,16080,a(flip),b,18357,a),flip(a)]. given #15726 (H,wt=18): 18360 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(18358(a,2),8876(a,1))]. given #15727 (H,wt=18): 18361 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(10719(a,1),18360(a,1))]. given #15728 (H,wt=18): 18362 K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. [para(10722(a,2),18361(a,1))]. given #15729 (H,wt=20): 18348 K((T(x,y) * y) \ z,u) != w | K((y * x) \ z,u) = w. [para(18335(a,2),6902(a,1))]. given #15730 (H,wt=20): 18359 K(x \ ((y \ z) * y),u) != w | K(x \ T(z,y),u) = w. [para(18357(a,2),16081(a,1))]. given #15731 (H,wt=21): 18338 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,K(y,z) * (u * w)). [hyper(15222,a,18325,a)]. given #15732 (H,wt=21): 18339 K(x,((y \ 1) \ z) * K(u,w)) = K(x,(y * K(u,w)) * z). [hyper(286,a,17057,a,b,18325,a),flip(a)]. given #15733 (H,wt=21): 18343 K(x,K(y,z) * ((u \ w) \ 1)) = K(x,(w \ u) * K(y,z)). [para(6401(a,1),18327(a,1,2))]. given #15734 (H,wt=19): 18366 K(x,(y \ z) \ K(u,w)) = K(x,(z \ y) * K(u,w)). [hyper(15221,a,18343,a)]. given #15735 (H,wt=21): 18349 K((x * y) \ z,T(u,x * y)) = K(z / (T(y,x) * x),u). [hyper(12120,a,18347,a),flip(a)]. given #15736 (H,wt=17): 18367 K(x / (T(y,z) * z),u) = K(x / (z * y),u). [hyper(8250,a,18349,a),flip(a)]. given #15737 (H,wt=19): 18368 K(x / ((y \ z) * y),u) = K(x / (y * (z / y)),u). [para(110(a,1),18367(a,1,1,2,1))]. given #15738 (H,wt=17): 18369 K(x / ((y \ z) * y),u) = K(x / T(z,y),u). [hyper(286,a,16078,a(flip),b,18368,a),flip(a)]. given #15739 (H,wt=20): 18370 K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. [para(18368(a,2),16079(a,1))]. given #15740 (H,wt=22): 18096 x * (y * a(z,y,K(x,u))) != w * y | L(x,y,K(u,z)) = w. [para(18093(a,2),43(a,1))]. given #15741 (H,wt=22): 18131 K((K(x,y) * z) / (K(x,y) * u),w) != v5 | K(z / u,w) = v5. [para(15970(a,1),18102(a,1))]. given #15742 (H,wt=22): 18133 K(x,L(y,z,T(u,w) \ 1)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(11309(a,1),18104(a,1,2))]. given #15743 (H,wt=22): 18182 K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,y / z),y,z)). [hyper(62,a,14470,a(flip),b,18178,a)]. given #15744 (H,wt=22): 18197 K(x,L(T(y,z / u),z,u)) * z = ((z / u) * K(x,y)) * u. [para(8146(a,1),18185(a,2,1))]. given #15745 (H,wt=22): 18208 K((x * K(y,z)) / u,w) != v5 | K(x * (u \ K(y,z)),w) = v5. [para(18205(a,2),15462(a,1))]. given #15746 (H,wt=22): 18210 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(18206(a,2),15467(a,1))]. given #15747 (H,wt=22): 18225 a(x \ (y \ 1),x,y) != z | a(x,x \ 1,(x \ 1) \ y) = z. [para(18223(a,1),846(a,1))]. given #15748 (H,wt=22): 18228 (x * y) \ (L(x,z,K(u,w)) * y) != v5 | a(x,z,K(u,w)) = v5. [para(18114(a,2),16692(a,1))]. given #15749 (H,wt=22): 18240 (x \ y) * K(z,L(z \ y,y,x \ 1)) = x \ (z * (y / z)). [para(4856(a,1),18233(a,2,2))]. given #15750 (H,wt=17): 18373 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(11733(a,1),18240(a,1,2))]. given #15751 (H,wt=22): 18252 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,z \ (w \ u))) = v5. [para(18247(a,1),15779(a,1,2,2))]. given #15752 (H,wt=22): 18267 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(18239(a,1),16584(a,1,2))]. given #15753 (H,wt=22): 18312 K(x,(K(y,z) / u) * w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(18310(a,1),15222(a,1))]. given #15754 (H,wt=22): 18371 K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,z \ y),y,z)). [hyper(286,a,15497,a,b,18182,a),flip(a)]. given #15755 (H,wt=22): 18372 K(x,L(T(y,z \ u),u,z)) * u = ((u / z) * K(x,y)) * z. [para(15497(a,2),18197(a,1,1))]. given #15756 (H,wt=22): 18377 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,z \ (u \ w))) = v5. [para(16780(a,2),18252(a,1))]. given #15757 (H,wt=23): 18094 K(x,K(y,z)) * (u / (K(x,T(y,z)) * w)) = u / (K(x,y) * w). [hyper(18092,a,16801,a),flip(a)]. given #15758 (H,wt=23): 18113 a(x,L(y,z,K(u,w)) \ 1,T(y,a(w,z,u))) = a(x,y \ 1,y). [para(18098(a,2),7194(a,1,2,1))]. given #15759 (H,wt=23): 18130 a(x,y * z,K(y,L(u,z,y))) = L(u,z,T(y,x)) \ L(u,z,y). [para(7353(a,1),18100(a,1,1)),flip(a)]. given #15760 (H,wt=20): 18381 L(x,y,T(z,u)) \ L(x,y,z) = a(u,z * y,K(z,x)). [para(9518(a,1),18130(a,1,3)),flip(a)]. given #15761 (H,wt=18): 18382 L(x,y,T(z,u)) \ L(x,y,z) = a(u,y,K(z,x)). [hyper(286,a,18159,a(flip),b,18381,a),flip(a)]. given #15762 (H,wt=18): 18384 a(x,y,K(z,u)) * L(x,y,z) = L(x,y,T(z,u)). [hyper(38,a,16730,a,b,18382,a)]. given #15763 (H,wt=17): 18385 x * T(x \ L(x,y,z),u) = L(x,y,T(z,u)). [hyper(62,a,14524,a(flip),b,18384,a)]. given #15764 (H,wt=23): 18138 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(u,z) * v5))). [para(5856(a,1),18103(a,1,2,2))]. given #15765 (H,wt=23): 18139 K(x,y / ((K(z,u) * w) \ v5)) = K(x,y / (w \ (K(u,z) * v5))). [para(5856(a,1),18106(a,1,2,2))]. given #15766 (H,wt=23): 18140 T(x,y \ ((K(z,u) * w) \ v5)) = T(x,y \ (w \ (K(u,z) * v5))). [para(5856(a,1),18136(a,1,2,2))]. given #15767 (H,wt=23): 18155 K(x,((K(y,z) * u) \ w) \ v5) = K(x,(u \ (K(z,y) * w)) \ v5). [para(5856(a,1),18152(a,1,2,1))]. given #15768 (H,wt=23): 18177 (L(x,y,K(z,u)) \ w) \ (a(u,y,K(z,x)) * w) = T(x,x \ w). [para(18151(a,1),17465(a,2,1)),flip(a)]. given #15769 (H,wt=23): 18192 K(x * (y \ z),L(u,z,y)) != w | K((x * (y \ 1)) * z,u) = w. [para(18180(a,1),13862(a,1))]. given #15770 (H,wt=23): 18199 K(x,y \ ((L(y,z,u) \ 1) \ w)) = K(x,y \ (L(y,z,u) * w)). [hyper(62,a,14669,a(flip),b,18189,a)]. given #15771 (H,wt=23): 18230 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,x \ z,K(y,u)) \ w. [para(11788(a,1),18156(a,1,1))]. given #15772 (H,wt=19): 18388 L(x,x \ y,K(z,u)) \ w = L(x,y,K(z,u)) \ w. [hyper(62,a,18156,a(flip),b,18230,a),flip(a)]. given #15773 (H,wt=23): 18248 x \ (y * (z * K(y,y * z))) = (x \ (y * z)) * K(y,y * z). [para(7648(a,1),18242(a,1,2))]. given #15774 (H,wt=21): 18389 (x \ (y * z)) * K(y,y * z) = x \ (T(y,z * y) * z). [para(12067(a,1),18248(a,1,2)),flip(a)]. given #15775 (H,wt=21): 18390 (x \ (y * z)) * K(y,y * z) = x \ (T(y,y * z) * z). [para(3989(a,1),18389(a,2,2,1))]. given #15776 (H,wt=23): 18253 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * (u \ (v5 / w)))). [para(18247(a,1),15809(a,1,2,2,2)),flip(a)]. given #15777 (H,wt=23): 18259 T(x * K(y,z),K(z,y) * (x \ y)) = ((x * K(y,z)) \ y) \ y. [para(18258(a,1),109(a,1,2))]. given #15778 (H,wt=21): 18392 T(x * K(y,z),x \ T(y,z)) = ((x * K(y,z)) \ y) \ y. [hyper(62,a,15256,a(flip),b,18259,a)]. given #15779 (H,wt=21): 18393 T(x * K(y,z),x \ T(y,z)) = (K(z,y) * (x \ y)) \ y. [para(18258(a,1),18392(a,2,1))]. given #15780 (H,wt=19): 18394 T(x * K(y,z),x \ T(y,z)) = (x \ y) \ T(y,z). [hyper(286,a,13664,a(flip),b,18393,a),flip(a)]. given #15781 (H,wt=23): 18262 K(x,T(y,z \ ((K(u,w) * v5) \ v6))) = K(x,T(y,v6 \ (z * v5))). [hyper(62,a,17708,a(flip),b,18257,a),flip(a)]. given #15782 (H,wt=23): 18270 K((x * T(y,z)) / (u * z),w) = K((x * y) / (u * T(z,y)),w). [hyper(62,a,15476,a(flip),b,18212,a),flip(a)]. given #15783 (H,wt=23): 18299 K(x,y \ (((z * u) / z) \ w)) = K(x,(y \ (u \ w)) * K(u,z)). [para(5716(a,2),18289(a,1,2,2))]. given #15784 (H,wt=23): 18305 K(x,(y * (K(z,y) * u)) \ w) = K(x,((y * u) \ w) * K(y,z)). [para(5885(a,1),18290(a,1,2,1))]. given #15785 (H,wt=21): 18397 K(x,(y * (K(z,y) * u)) \ w) = K(x,(T(y,z) * u) \ w). [hyper(286,a,18331,a(flip),b,18305,a),flip(a)]. given #15786 (H,wt=21): 18398 K(x,(((y * z) / y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(6011(a,2),18397(a,1,2,1))]. given #15787 (H,wt=23): 18306 K(x,((y * K(z,u)) \ 1) \ w) = K(x,((y \ 1) \ w) * K(z,u)). [para(6401(a,2),18290(a,1,2,1))]. given #15788 (H,wt=23): 18329 T(x,((y * K(z,u)) * w) \ v5) = T(x,((y * w) \ v5) * K(z,u)). [hyper(62,a,17903,a(flip),b,18321,a)]. given #15789 (H,wt=21): 18399 T(x,((y * z) \ u) * K(z,w)) = T(x,(y * T(z,w)) \ u). [para(6864(a,1),18329(a,1,2,1)),flip(a)]. given #15790 (H,wt=21): 18400 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [hyper(15163,a,18399,a)]. given #15791 (H,wt=23): 18375 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ (y * (z / y)))). [para(18373(a,1),17050(a,1,2,2)),flip(a)]. given #15792 (H,wt=21): 18401 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [hyper(62,a,17096,a(flip),b,18375,a),flip(a)]. given #15793 (H,wt=21): 18402 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(11(a,1),18401(a,1,2,2,2,2)),flip(a)]. given #15794 (H,wt=21): 18403 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [hyper(62,a,17168,a(flip),b,18402,a)]. given #15795 (H,wt=23): 18380 a(x,L(y \ 1,z,K(u,w)),T(y,a(w,z,u))) = a(x,y \ 1,y). [para(18141(a,2),18113(a,1,2))]. given #15796 (H,wt=23): 18395 K(x,T(y,z \ (u \ (K(w,v5) * v6)))) = K(x,T(y,v6 \ (z * u))). [para(18140(a,1),18262(a,1,2))]. given #15797 (H,wt=23): 18404 a(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = a(x,y \ 1,y). [para(18098(a,2),18380(a,1,3))]. given #15798 (H,wt=24): 18215 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [hyper(7739,a,18090,a)]. given #15799 (H,wt=22): 18407 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(16689(a,1),18215(a,1,1))]. given #15800 (H,wt=24): 18264 K(x,L(y \ (z * u),y,z \ 1) \ 1) = K(x \ 1,(z \ y) \ u). [hyper(6476,a,18239,a)]. given #15801 (H,wt=24): 18265 K(L(x \ (y * z),x,y \ 1),u) = (w * K(u,(y \ x) \ z)) \ w. [para(18239(a,1),6895(a,1,1,2)),flip(a)]. given #15802 (H,wt=20): 18412 K(L(x \ (y * z),x,y \ 1),u) = K((y \ x) \ z,u). [hyper(286,a,15072,a(flip),b,18265,a),flip(a)]. given #15803 (H,wt=20): 18413 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(11807,a,18412,a)]. given #15804 (H,wt=22): 18415 K((x * y) \ z,L(u,z,x \ 1)) = K((x \ z) \ y,u \ 1). [hyper(11817,a,18413,a)]. given #15805 (H,wt=20): 18421 K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). [hyper(286,a,6787,a(flip),b,18415,a),flip(a)]. given #15806 (H,wt=22): 18418 K(x \ ((y \ 1) * z),L(u,x,y)) = K(((y \ 1) \ x) \ z,u). [hyper(62,a,16699,a(flip),b,18413,a)]. given #15807 (H,wt=22): 18427 K(x \ ((y \ 1) * z),L(u,x,y)) = K(((x \ 1) / y) * z,u). [hyper(286,a,13540,a(flip),b,18418,a),flip(a)]. given #15808 (H,wt=22): 18428 K((x * y) \ L(z,x \ 1,x),u) = K(((y \ 1) / x) * z,u). [hyper(11910,a,18427,a)]. given #15809 (H,wt=22): 18429 K((((x \ y) \ 1) / x) * z,u) = K(y \ L(z,x \ 1,x),u). [para(10(a,1),18428(a,1,1,1)),flip(a)]. given #15810 (H,wt=23): 18422 K((x * y) \ z,L(u,z,x \ 1)) != w | K(y \ (x \ z),u) = w. [para(18415(a,2),6802(a,1))]. given #15811 (H,wt=24): 18268 K(x,T(y,z \ (u * (w \ 1)))) != v5 | K(x,T(y,(u \ z) * w)) = v5. [para(16719(a,1),18263(a,1))]. given #15812 (H,wt=24): 18301 K(x,y \ (K(z,T(u,w)) * v5)) != v6 | K(x,(y \ v5) * K(z,u)) = v6. [para(18289(a,2),15424(a,1))]. given #15813 (H,wt=22): 18434 K(x,y \ (K(z,u) * w)) != v5 | K(x,(y \ w) * K(z,u)) = v5. [para(107(a,1),18301(a,1,2,2,1,2))]. given #15814 (H,wt=22): 18435 K(x,y \ (z * K(u,w))) != v5 | K(x,(y \ z) * K(u,w)) = v5. [para(8146(a,1),18301(a,1,2,2))]. given #15815 (H,wt=22): 18437 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ w) * K(z,y)) = v5. [para(16682(a,2),18434(a,1))]. given #15816 (H,wt=24): 18396 K((x * y) / (x * T(z,y)),u) = K(y / z,L(T(u,x * z),z,x)). [hyper(62,a,16083,a,b,18270,a),flip(a)]. given #15817 (H,wt=23): 18438 K((x * y) \ (z * T(x,y)),u) = K((x * z) / (x * T(y,z)),u). [hyper(286,a,14375,a(flip),b,18396,a)]. given #15818 (H,wt=21): 18439 K((x * y) / (x * T(z,y)),u) = K((z * x) \ (y * x),u). [hyper(62,a,17453,a(flip),b,18438,a),flip(a)]. given #15819 (H,wt=24): 18411 K(x,L((y \ (z * u)) \ 1,y,z \ 1)) = K(x \ 1,(z \ y) \ u). [hyper(11804,a,18264,a)]. given #15820 (H,wt=22): 18441 K(x,L((y * z) \ u,u,y \ 1)) = K(x \ 1,(y \ u) \ z). [hyper(11848,a,18411,a)]. given #15821 (H,wt=22): 18442 K(x,L((y * z) \ u,u,y \ 1)) = K(x,((y \ u) \ z) \ 1). [hyper(286,a,6458,a(flip),b,18441,a),flip(a)]. given #15822 (H,wt=23): 18443 K(x,L((y * z) \ u,u,y \ 1)) != w | K(x,z \ (y \ u)) = w. [para(18442(a,2),6979(a,1))]. given #15823 (H,wt=24): 18414 K(x \ (T(y,z) * u),L(w,x,y \ 1)) = K((T(y,z) \ x) \ u,w). [hyper(18133,a,18413,a)]. given #15824 (H,wt=24): 18416 K(x \ ((y \ z) * u),L(w,x,z \ y)) = K(((y \ z) \ x) \ u,w). [hyper(62,a,18044,a(flip),b,18413,a)]. given #15825 (H,wt=22): 18445 K(x \ T(y,z),L(u,x,y \ z)) = K(((z \ y) \ x) \ z,u). [hyper(18359,a,18416,a)]. given #15826 (H,wt=19): 18446 K(((x \ y) \ z) \ x,u) = K(((y \ x) * z) \ x,u). [hyper(15331,a,18445,a),flip(a)]. given #15827 (H,wt=23): 18447 (x * K(((y \ z) * u) \ z,w)) \ x = K(w,((z \ y) \ u) \ z). [para(18446(a,1),6895(a,1,1,2))]. given #15828 (H,wt=19): 18450 K(x,((y \ z) \ u) \ y) = K(x,((z \ y) * u) \ y). [hyper(15158,a,18447,a),flip(a)]. given #15829 (H,wt=24): 18423 K((T(x,y) * z) \ u,L(w,u,x \ 1)) = K(z \ (T(x,y) \ u),w). [hyper(18133,a,18421,a)]. given #15830 (H,wt=24): 18430 K((((x \ (y \ 1)) \ 1) / x) * z,u) = K(y * L(z,x \ 1,x),u). [hyper(286,a,13494,a(flip),b,18429,a),flip(a)]. given #15831 (H,wt=22): 18451 K(((x / (y \ 1)) / y) * z,u) = K(x * L(z,y \ 1,y),u). [para(6410(a,1),18430(a,1,1,1,1))]. given #15832 (H,wt=24): 18444 K(x,L((T(y,z) * u) \ w,w,y \ 1)) = K(x,u \ (T(y,z) \ w)). [hyper(18443,a,16684,a),flip(a)]. given #15833 (H,wt=25): 18129 a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,T(w,u) \ v5)). [para(14737(a,1),18099(a,1,2,3)),flip(a)]. given #15834 (H,wt=25): 18147 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = a(z,u,u \ 1). [hyper(62,a,16277,a,b,18112,a)]. given #15835 (H,wt=25): 18150 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(18116(a,2),261(a,1))]. given #15836 (H,wt=25): 18193 K(x,L(y,z,L(u,w \ v5,w))) = a(y,z,K(x,L(u,v5,w))) * K(x,y). [para(18180(a,1),14201(a,1,1,3)),flip(a)]. given #15837 (H,wt=21): 18454 K(x,L(y,z,L(u,w \ v5,w))) = K(x,L(y,z,L(u,v5,w))). [hyper(286,a,14201,a(flip),b,18193,a),flip(a)]. given #15838 (H,wt=25): 18204 (K(x,y) * (z / u)) * u != w * v5 | (K(x,L(y,z,u)) * z) / v5 = w. [para(18196(a,1),490(a,1,1))]. given #15839 (H,wt=25): 18214 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(z * v5) * (y \ K(u,w))). [hyper(62,a,17953,a,b,18213,a)]. given #15840 (H,wt=23): 18455 K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * w) * (v5 \ K(z,u))). [hyper(7036,a,18214,a)]. given #15841 (H,wt=25): 18269 K((x * K(y,K(z,u) * w)) / v5,v6) = K(K(w,y) * (v5 \ x),T(v6,x)). [hyper(16008,a,18211,a),flip(a)]. given #15842 (H,wt=23): 18456 K((x * K(y,K(z,u) * w)) / v5,v6) = K(x * (v5 \ K(y,w)),v6). [hyper(286,a,17477,a(flip),b,18269,a),flip(a)]. given #15843 (H,wt=23): 18457 K(x * (y \ K(z,K(u,w) * v5)),v6) = K(x * (y \ K(z,v5)),v6). [hyper(18208,a,18456,a)]. given #15844 (H,wt=23): 18458 K(x * (y \ K(z * K(u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). [hyper(62,a,17802,a,b,18457,a)]. given #15845 (H,wt=23): 18459 K(x * (y \ K(K(z,u) * w,v5)),v6) = K(x * (y \ K(v5,w)),v6). [hyper(62,a,16207,a,b,18458,a)]. given #15846 (H,wt=25): 18294 K((x \ y) \ y,(z \ u) * K(w,v5)) = K(x,T(z \ (K(w,v5) * u),y)). [hyper(7986,a,18289,a),flip(a)]. given #15847 (H,wt=23): 18460 K(x,T(y \ (K(z,u) * w),v5)) = K(x,T((y \ w) * K(z,u),v5)). [hyper(7986,a,18294,a),flip(a)]. given #15848 (H,wt=25): 18328 K(x,K(y * z,u) * (w \ (u * v5))) = K(x,w \ (T(u,y \ z) * v5)). [hyper(17725,a,18319,a)]. given #15849 (H,wt=23): 18462 K(x,y \ (T(z,u \ w) * v5)) = K(x,y \ (T(z,u * w) * v5)). [hyper(62,a,18319,a(flip),b,18328,a),flip(a)]. given #15850 (H,wt=25): 18334 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(T(z,y) * y,u) \ 1). [para(4619(a,2),18332(a,1,2)),flip(a)]. given #15851 (H,wt=25): 18386 T((x * y) \ (L(x,z,u) * y),w) = (x * y) \ (L(x,z,T(u,w)) * y). [para(18385(a,1),1331(a,1,2,1)),flip(a)]. given #15852 (H,wt=25): 18391 K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ T(u * w,u))). [para(18390(a,1),17118(a,1,2,2))]. given #15853 (H,wt=23): 18464 K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ (w * u))). [hyper(286,a,18403,a(flip),b,18391,a),flip(a)]. given #15854 (H,wt=25): 18405 K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,z \ (v6 * (v5 \ 1)))). [hyper(62,a,14008,a(flip),b,18395,a)]. given #15855 (H,wt=23): 18467 K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,(v6 \ z) * v5)). [hyper(286,a,16781,a(flip),b,18405,a),flip(a)]. given #15856 (H,wt=23): 18468 K(x,T(y,(z \ (u \ K(w,v5))) * v6)) = K(x,T(y,(v6 \ u) * z)). [hyper(15777,a,18467,a)]. given #15857 (H,wt=25): 18461 K(x,T((y \ z) * K(u,T(w,z)),v5)) = K(x,T(y \ (z * K(u,w)),v5)). [para(8146(a,1),18460(a,1,2,1,2)),flip(a)]. given #15858 (H,wt=23): 18469 K(x,T(y \ (z * K(u,w)),v5)) = K(x,T(K(w,u) * (y \ z),v5)). [hyper(62,a,16117,a(flip),b,18461,a),flip(a)]. given #15859 (H,wt=23): 18470 K(x,T((y \ z) \ K(u,w),v5)) = K(x,T(K(w,u) * (z \ y),v5)). [hyper(17376,a,18469,a)]. given #15860 (H,wt=25): 18463 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T((T(z,y) * y) \ 1,u)). [hyper(286,a,7968,a,b,18334,a),flip(a)]. given #15861 (H,wt=25): 18472 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(y \ (T(z,y) \ 1),u)). [hyper(286,a,13789,a(flip),b,18463,a),flip(a)]. given #15862 (H,wt=23): 18473 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,(y * z) \ K(u,y * z)). [para(12122(a,1),18472(a,1,2,2)),flip(a)]. given #15863 (H,wt=21): 18475 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(y * z,u) \ 1). [para(4619(a,2),18473(a,2,2))]. given #15864 (H,wt=21): 18477 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T((y * z) \ 1,u)). [hyper(286,a,7968,a,b,18475,a),flip(a)]. given #15865 (H,wt=21): 18478 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(z \ (y \ 1),u)). [hyper(286,a,13789,a(flip),b,18477,a),flip(a)]. given #15866 (H,wt=23): 18474 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,z \ (y \ K(y * z,u))). [hyper(286,a,17142,a(flip),b,18473,a),flip(a)]. given #15867 (H,wt=21): 18479 K(x,y \ (z \ K(z * y,u))) = K(x,T(y \ (z \ 1),u)). [hyper(62,a,18478,a(flip),b,18474,a),flip(a)]. given #15868 (H,wt=25): 18480 K(x,y \ ((z \ 1) \ K(z \ y,u))) = K(x,T(y \ ((z \ 1) \ 1),u)). [para(13495(a,1),18479(a,1,2,2,2))]. given #15869 (H,wt=26): 18149 K(x,y * ((K(z,u) * w) \ v5)) != v6 | K(x,y * (w \ (K(u,z) * v5))) = v6. [para(5856(a,1),18105(a,1,2,2))]. given #15870 (H,wt=26): 18174 L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). [para(18172(a,1),14455(a,2,1,2)),flip(a)]. given #15871 (H,wt=26): 18234 K(x,L(T((y * z) \ u,z),z,y \ 1)) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,18055,a(flip),b,18232,a),flip(a)]. given #15872 (H,wt=21): 18482 K(x,((y / (z * y)) * u) / y) = K(x,T(y \ (z \ u),y)). [hyper(14618,a,18234,a),flip(a)]. given #15873 (H,wt=19): 18483 K(x,((y / (z * y)) * u) / y) = K(x,(z \ u) / y). [hyper(286,a,8169,a(flip),b,18482,a),flip(a)]. given #15874 (H,wt=20): 18484 K(x,(R(y \ 1,y,z) * u) / z) = K(x,(y \ u) / z). [hyper(62,a,12018,a,b,18483,a)]. given #15875 (H,wt=26): 18241 (K(x,L(y,z,u \ 1)) \ 1) * ((u \ z) \ 1) = (u \ (z * K(x,y))) \ 1. [para(18233(a,1),6394(a,2,1))]. given #15876 (H,wt=24): 18487 K(x,L(y,z,u \ 1)) * ((u \ z) \ 1) = (u \ (z * K(y,x))) \ 1. [para(11785(a,1),18241(a,1,1))]. given #15877 (H,wt=26): 18254 K(x,K(y,z * (u \ (w / v5)))) != v6 | K(x,K(y,z * (u \ (v5 \ w)))) = v6. [para(18247(a,1),15938(a,1,2,2,2))]. given #15878 (H,wt=26): 18285 L(x,x \ y,K(z,T(u,y))) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [para(7736(a,1),18091(a,1,2))]. given #15879 (H,wt=24): 18489 L(x,x \ y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [para(16689(a,1),18285(a,1,1))]. given #15880 (H,wt=22): 18490 L(x,y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [hyper(62,a,18388,a(flip),b,18489,a)]. given #15881 (H,wt=26): 18351 K((T(x,y) * y) \ (z \ u),L(w,z \ u,z)) = K((z * (y * x)) \ u,w). [hyper(286,a,11742,a(flip),b,18347,a),flip(a)]. given #15882 (H,wt=21): 18493 K((x * (T(y,z) * z)) \ u,w) = K((x * (z * y)) \ u,w). [hyper(11763,a,18351,a)]. given #15883 (H,wt=26): 18419 K(T(x,y) \ (y * z),L(u,T(x,y),y \ 1)) = K((T(y,x) \ x) \ z,u). [para(3928(a,2),18413(a,2,1,1))]. given #15884 (H,wt=19): 18494 K((T(x,y) \ y) \ z,u) = K((x \ T(y,x)) \ z,u). [hyper(62,a,18413,a(flip),b,18419,a),flip(a)]. given #15885 (H,wt=26): 18420 K(K((x \ y) \ z,u) * w,v5) != v6 | K(K(y \ (x * z),u) * w,v5) = v6. [para(18413(a,1),17079(a,1,1,1))]. given #15886 (H,wt=26): 18436 K(x,y \ (((z * u) / z) \ w)) != v5 | K(x,(y \ (u \ w)) * K(u,z)) = v5. [para(5716(a,2),18434(a,1,2,2))]. given #15887 (H,wt=26): 18476 K(x,T(y \ (T(z,y) \ 1),u)) != w | K(x,z \ (y \ K(y * z,u))) = w. [para(18473(a,2),17143(a,1))]. given #15888 (H,wt=27): 18109 L(a(x,y,K(z,u)) * w,v5,K(v6,v7)) = T(w,a(v7,v5,v6)) * a(x,y,K(z,u)). [hyper(286,a,17672,a(flip),b,18098,a),flip(a)]. given #15889 (H,wt=27): 18135 ((K(x,y) / (z * u)) * z) / a(z,u,K(x,y)) = K(x,y) / L(u,z,z \ 1). [para(18126(a,1),14604(a,1,2))]. given #15890 (H,wt=27): 18154 K(x,T((K(y,z) \ u) \ w,v5) \ v6) = K(x,T(u \ (K(y,z) * w),v5) \ v6). [para(691(a,1),18152(a,1,2,1)),flip(a)]. given #15891 (H,wt=27): 18188 K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,(z * u) \ 1)). [hyper(62,a,14339,a(flip),b,18180,a)]. given #15892 (H,wt=27): 18302 K(K(x,(x \ (y * z)) * K(u,z)) * w,v5) = K(K(x,y * T(z,u)) * w,v5). [para(18289(a,1),15290(a,1,1,1))]. given #15893 (H,wt=27): 18336 K(x,(T(y,z * u) * T(u * z,u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(12112(a,1),18332(a,1,2,1,1))]. given #15894 (H,wt=25): 18500 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [hyper(62,a,14053,a(flip),b,18336,a)]. given #15895 (H,wt=21): 18501 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(62,a,18332,a(flip),b,18500,a),flip(a)]. given #15896 (H,wt=27): 18354 K((T(x,T(y,z)) * (y * K(z,y))) \ u,w) = K(((y * K(z,y)) * x) \ u,w). [para(8314(a,1),18347(a,1,1,1,1))]. given #15897 (H,wt=27): 18355 K((T(x,y * z) * (T(z,y) * y)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). [para(12115(a,1),18347(a,1,1,1,1))]. given #15898 (H,wt=25): 18503 K((T(x,y * z) * (y * z)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). [hyper(62,a,18493,a(flip),b,18355,a)]. given #15899 (H,wt=21): 18504 K(((T(x,y) * y) * z) \ u,w) = K(((y * x) * z) \ u,w). [hyper(18348,a,18503,a),flip(a)]. given #15900 (H,wt=24): 18505 K(((T(x,y) * y) * z) \ u,w) != v5 | K(((y * x) * z) \ u,w) = v5. [para(18503(a,1),18348(a,1))]. given #15901 (H,wt=27): 18433 K((T(x,y) * z) \ u,L(w,u,x \ 1)) != v5 | K(z \ (T(x,y) \ u),w) = v5. [para(16684(a,1),18422(a,1))]. given #15902 (H,wt=27): 18440 K(((x / y) * z) / ((x / y) * T(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). [hyper(286,a,16058,a(flip),b,18439,a),flip(a)]. given #15903 (H,wt=25): 18506 K(((x / y) * z) / (x * K(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). [para(6822(a,1),18440(a,1,1,2))]. given #15904 (H,wt=25): 18507 K(((x / y) * z) * (x \ K(z,y)),u) = K(T(x,y) \ (z * (x / y)),u). [hyper(15462,a,18506,a)]. given #15905 (H,wt=23): 18508 K(T(x,y) \ (z * (x / y)),u) = K(((x / y) * T(z,y)) / x,u). [hyper(62,a,18212,a(flip),b,18507,a),flip(a)]. given #15906 (H,wt=21): 18509 K(((x / y) * T(z,y)) / x,u) = K(x \ (z * (y \ x)),u). [hyper(62,a,17232,a(flip),b,18508,a),flip(a)]. given #15907 (H,wt=27): 18495 L(a(x,y,K(z,u)) * w,v5,K(v6,v7)) = L(w,v5,K(v6,v7)) * a(x,y,K(z,u)). [para(18098(a,2),18109(a,2,1))]. given #15908 (H,wt=27): 18496 ((K(x,y) / (z * u)) * z) * a(y,u,K(x,z)) = K(x,y) / L(u,z,z \ 1). [hyper(14205,a,18135,a)]. given #15909 (H,wt=25): 18511 (K(x,y) / (z * u)) * L(z,u,K(y,x)) = K(x,y) / L(u,z,z \ 1). [hyper(62,a,18116,a(flip),b,18496,a)]. given #15910 (H,wt=27): 18497 K(x,T((K(y,z) * u) \ w,v5) \ v6) = K(x,T(u \ (K(z,y) * w),v5) \ v6). [para(5839(a,1),18154(a,1,2,1,1,1))]. given #15911 (H,wt=27): 18498 K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,u \ (z \ 1))). [hyper(286,a,14339,a(flip),b,18188,a),flip(a)]. given #15912 (H,wt=23): 18512 K(x,L(y,a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). [hyper(62,a,18054,a(flip),b,18498,a),flip(a)]. given #15913 (H,wt=27): 18499 K(K(x,(y * z) * (x \ K(u,z))) * w,v5) = K(K(x,y * T(z,u)) * w,v5). [para(13821(a,1),18302(a,1,1,1))]. given #15914 (H,wt=27): 18502 K(((T(x,T(y,z)) * y) \ u) * K(y,z),w) = K(((y * K(z,y)) * x) \ u,w). [hyper(17522,a,18354,a)]. given #15915 (H,wt=25): 18513 K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * K(u,y)) * x) \ z,w). [hyper(62,a,16819,a(flip),b,18502,a)]. given #15916 (H,wt=25): 18514 K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * x) \ z) * K(y,u),w). [hyper(286,a,17586,a(flip),b,18513,a),flip(a)]. given #15917 (H,wt=27): 18510 K((x \ 1) \ (y * (z \ (x \ 1))),u) = K((((x \ 1) / z) * T(y,z)) * x,u). [hyper(13647,a,18509,a),flip(a)]. given #15918 (H,wt=25): 18517 K((((x \ 1) / y) * T(z,y)) * x,u) = K(x * (z * (y \ (x \ 1))),u). [hyper(13551,a,18510,a),flip(a)]. given #15919 (H,wt=27): 18516 K(((T(x,T(y,z)) * y) \ u) * K(y,w),v5) = K(((y * x) \ u) * K(y,w),v5). [hyper(62,a,16819,a,b,18514,a)]. given #15920 (H,wt=25): 18518 K((T(x,T(y,z)) * T(y,u)) \ w,v5) = K(((y * x) \ w) * K(y,u),v5). [hyper(62,a,17439,a(flip),b,18516,a)]. given #15921 (H,wt=21): 18519 K(((x * y) \ z) * K(x,u),w) = K((T(x,u) * y) \ z,w). [hyper(18348,a,18518,a),flip(a)]. given #15922 (H,wt=21): 18521 K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). [hyper(15094,a,18519,a)]. given #15923 (H,wt=21): 18522 K((((x * y) / x) * z) \ u,w) = K((T(y,x) * z) \ u,w). [hyper(62,a,17420,a,b,18519,a)]. given #15924 (H,wt=23): 18524 K((T(x,y) * z) \ u,w \ 1) = K(u \ (((y * x) / y) * z),w). [hyper(6802,a,18522,a),flip(a)]. given #15925 (H,wt=21): 18526 K(x \ (((y * z) / y) * u),w) = K(x \ (T(z,y) * u),w). [hyper(6802,a,18524,a),flip(a)]. given #15926 (H,wt=25): 18520 K((((x * y) * z) \ u) * K(y,x),w) = K((T(x * y,x) * z) \ u,w). [hyper(15296,a,18519,a)]. given #15927 (H,wt=23): 18527 K((T(x * y,x) * z) \ u,w) = K(((T(x,y) * y) * z) \ u,w). [hyper(62,a,17585,a(flip),b,18520,a),flip(a)]. given #15928 (H,wt=21): 18528 K((T(x * y,x) * z) \ u,w) = K(((y * x) * z) \ u,w). [hyper(286,a,18504,a(flip),b,18527,a),flip(a)]. given #15929 (H,wt=28): 18190 K(x,L(y,a(z,z \ 1,u),L(u,z \ 1,z))) = K(x,L(y,u,L(u,z \ 1,z))). [para(713(a,1),18180(a,1,2,2))]. given #15930 (H,wt=26): 18531 K(x,L(y,a(z,z \ 1,u),L(u,1,z))) = K(x,L(y,u,L(u,z \ 1,z))). [hyper(62,a,18454,a(flip),b,18190,a)]. given #15931 (H,wt=23): 18532 K(x,L(y,a(z,z \ 1,u),u)) = K(x,L(y,u,L(u,z \ 1,z))). [para(338(a,1),18531(a,1,2,3))]. given #15932 (H,wt=15): 18533 K(x,L(y,a(z,z \ 1,u),u)) = K(x,y). [hyper(286,a,17621,a(flip),b,18532,a),flip(a)]. given #15933 (H,wt=17): 18535 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,y). [para(7002(a,1),18533(a,1,2,2))]. given #15934 (H,wt=28): 18236 K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). [para(94(a,1),18232(a,1,2)),flip(a)]. given #15935 (H,wt=27): 18536 K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [para(4913(a,1),18236(a,2,2,1))]. given #15936 (H,wt=22): 18537 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(62,a,14605,a(flip),b,18536,a),flip(a)]. given #15937 (H,wt=22): 18538 K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z \ 1) \ u). [para(10(a,1),18537(a,1,2,2)),flip(a)]. given #15938 (H,wt=28): 18417 K(x \ (((y * z) / y) * u),L(w,x,z \ 1)) = K((((y * z) / y) \ x) \ u,w). [hyper(62,a,16778,a(flip),b,18413,a)]. given #15939 (H,wt=26): 18542 K((((x * y) / x) \ z) \ u,w) = K(z \ (T(y,x) * u),L(w,z,y \ 1)). [hyper(62,a,18526,a(flip),b,18417,a),flip(a)]. given #15940 (H,wt=21): 18543 K((((x * y) / x) \ z) \ u,w) = K((T(y,x) \ z) \ u,w). [hyper(286,a,18414,a(flip),b,18542,a),flip(a)]. given #15941 (H,wt=21): 18544 K((K(x,y) * (x \ z)) \ u,w) = K((T(x,y) \ z) \ u,w). [para(5716(a,1),18543(a,1,1,1))]. given #15942 (H,wt=21): 18545 K(((x \ y) \ z) * K(u,x),w) = K((T(x,u) \ y) \ z,w). [hyper(62,a,17377,a(flip),b,18544,a)]. given #15943 (H,wt=17): 18546 K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). [hyper(62,a,17857,a(flip),b,18545,a),flip(a)]. given #15944 (H,wt=17): 18547 K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). [hyper(62,a,18494,a(flip),b,18546,a)]. given #15945 (H,wt=28): 18424 K(((x * y) \ 1) \ z,L(u,z,(y \ 1) \ 1)) = K((x \ 1) \ ((y \ 1) \ z),u). [para(6394(a,1),18421(a,1,1,1))]. given #15946 (H,wt=24): 18549 K(((x * y) \ 1) \ z,L(u,z,y)) = K((x \ 1) \ ((y \ 1) \ z),u). [hyper(62,a,16699,a(flip),b,18424,a)]. given #15947 (H,wt=22): 18550 K((x \ 1) \ ((y \ 1) \ z),u) = K((x * y) * z,L(u,z,y)). [hyper(13551,a,18549,a),flip(a)]. given #15948 (H,wt=20): 18552 K((x * y) * z,L(u,z,y)) = K(x * ((y \ 1) \ z),u). [hyper(13551,a,18550,a),flip(a)]. given #15949 (H,wt=17): 18554 K(x * ((y \ 1) \ z),z) = K((x * y) * z,z). [hyper(11762,a,18552,a),flip(a)]. given #15950 (H,wt=17): 18561 K(x * ((y \ 1) \ z),z) = K(z * (x * y),z). [hyper(286,a,7011,a(flip),b,18554,a),flip(a)]. given #15951 (H,wt=24): 18558 K(x,K(y * ((z \ 1) \ u),w)) != v5 | K(x,K((y * z) * u,w)) = v5. [para(18552(a,1),16584(a,1,2))]. given #15952 (H,wt=26): 18553 K((x * y) * (z \ 1),L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). [hyper(14461,a,18552,a)]. given #15953 (H,wt=24): 18563 K((x * y) / z,L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). [hyper(62,a,13606,a(flip),b,18553,a)]. given #15954 (H,wt=22): 18564 K((x * y) / z,L(u,z,y \ 1)) = K(x * ((z / y) \ 1),u). [para(6431(a,1),18563(a,2,1,2))]. given #15955 (H,wt=20): 18565 K((x * y) / z,L(u,z,y \ 1)) = K(x / (z / y),u). [hyper(286,a,13606,a(flip),b,18564,a),flip(a)]. given #15956 (H,wt=26): 18566 K((x * y) / z,L(u,((x * y) / z) * z,y \ 1)) = K(x / (z / y),u). [hyper(11846,a,18565,a)]. given #15957 (H,wt=22): 18567 K((x * y) / z,L(u,x * y,y \ 1)) = K(x / (z / y),u). [para(12(a,1),18566(a,1,2,2))]. given #15958 (H,wt=28): 18486 K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (z * u)) / T(z,u)). [para(10601(a,1),18484(a,1,2))]. given #15959 (H,wt=26): 18569 K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (u * z)) / z). [para(13889(a,1),18486(a,2,2))]. given #15960 (H,wt=28): 18529 K(((x * y) * z) \ u,L(w,u,(y * x) \ 1)) = K(z \ (T(y * x,y) \ u),w). [hyper(18433,a,18528,a),flip(a)]. given #15961 (H,wt=28): 18548 K((x / y) \ (z \ u),L(w,y \ T(x,y),z)) = K((z * (y \ T(x,y))) \ u,w). [hyper(11909,a,18547,a),flip(a)]. given #15962 (H,wt=28): 18557 K(x,K(L(y,z,u),(w * u) * z) * v5) = K(x,K(w * ((u \ 1) \ z),y) * v5). [para(18552(a,1),14720(a,1,2,1)),flip(a)]. given #15963 (H,wt=25): 18571 K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,K(w,(y * z) * u) * v5). [hyper(17092,a,18557,a),flip(a)]. given #15964 (H,wt=25): 18574 K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(w,(y * u) * z) * v5). [hyper(16123,a,18571,a)]. given #15965 (H,wt=25): 18576 K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * y) * z) * v5). [hyper(14799,a,18574,a)]. given #15966 (H,wt=27): 18575 K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * T(y,v6)) * z) * v5). [hyper(17906,a,18574,a)]. given #15967 (H,wt=25): 18577 K(x,K(y,(z * T(u,w)) * v5) * v6) = K(x,K(y,(z * u) * v5) * v6). [hyper(62,a,18576,a(flip),b,18575,a),flip(a)]. given #15968 (H,wt=25): 18578 K(x,K(y * (z * T(u,w)),v5) * v6) = K(x,K(v5,(z * u) * y) * v6). [hyper(16099,a,18577,a)]. given #15969 (H,wt=28): 18570 K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ (T(y * x,y) \ u),w). [hyper(62,a,14339,a(flip),b,18529,a)]. given #15970 (H,wt=28): 18572 K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(w,(y * z) * u) * v5) = v6. [para(18557(a,1),17092(a,1))]. given #15971 (H,wt=29): 18108 R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * L(u,z,K(y,x))). [para(18095(a,1),17683(a,2,2,2))]. given #15972 (H,wt=29): 18237 K(x,L(y,(z * K(u,w)) * v5,K(w,u) / z)) = K(x,L(y,v5,(z * K(u,w)) \ 1)). [para(13591(a,1),18232(a,1,2,3))]. given #15973 (H,wt=29): 18283 K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,(v5 \ 1) * (w \ K(z,u)),v5)). [para(17980(a,2),18235(a,1,2)),flip(a)]. given #15974 (H,wt=25): 18582 K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,w \ K(z,u),v5)). [hyper(286,a,18282,a(flip),b,18283,a),flip(a)]. given #15975 (H,wt=21): 18583 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,K(u,w) / z,v5)). [hyper(62,a,16699,a(flip),b,18582,a),flip(a)]. given #15976 (H,wt=29): 18300 K(x,(y \ z) * K(u,w)) * K(x,K(y,K(w,u) * z)) = K(x,(K(u,w) * z) / y). [para(18289(a,1),14727(a,1,1))]. given #15977 (H,wt=25): 18585 K(x,(y \ z) * K(u,w)) * K(x,K(y,z)) = K(x,(K(u,w) * z) / y). [para(15807(a,1),18300(a,1,2))]. given #15978 (H,wt=27): 18586 K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,(K(z,y \ 1) * w) / u). [para(15217(a,1),18585(a,1,1))]. given #15979 (H,wt=21): 18588 K(x,(K(y,z \ 1) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(62,a,17494,a(flip),b,18586,a),flip(a)]. given #15980 (H,wt=21): 18589 K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(u,w))). [hyper(62,a,18213,a(flip),b,18588,a)]. given #15981 (H,wt=29): 18307 K(K(x * K(y,z),(x \ u) * K(y,z)) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(18290(a,1),16021(a,1,1,1))]. given #15982 (H,wt=29): 18315 K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). [hyper(62,a,17682,a(flip),b,18295,a)]. given #15983 (H,wt=27): 18591 K(x * K(y,z),u / (K(z,y) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). [para(107(a,1),18315(a,1,2,2,1,2))]. given #15984 (H,wt=27): 18592 K(x * K(y,z),(x \ u) * K(y,z)) = K(x * K(y,z),u * (x \ K(y,z))). [hyper(13759,a,18591,a),flip(a)]. given #15985 (H,wt=29): 18352 K((T(x,y \ T(z,y)) * (y \ T(z,y))) \ u,w) = K(((T(y,z) \ z) * x) \ u,w). [para(3956(a,2),18347(a,2,1,1))]. given #15986 (H,wt=23): 18594 K(((T(x,y) \ y) * z) \ u,w) = K(((x \ T(y,x)) * z) \ u,w). [hyper(18348,a,18352,a),flip(a)]. given #15987 (H,wt=26): 18596 K(((T(x,y) \ y) * z) \ u,w) != v5 | K(((x \ T(y,x)) * z) \ u,w) = v5. [para(18352(a,1),18348(a,1))]. given #15988 (H,wt=27): 18595 K((T(x,y / z) * (z \ T(y,z))) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). [para(16343(a,1),18352(a,1,1,1,1))]. given #15989 (H,wt=29): 18353 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(18347(a,1),7613(a,1,2))]. given #15990 (H,wt=27): 18597 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(18337(a,1),18353(a,1,1))]. given #15991 (H,wt=21): 18598 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(8439,a,18597,a),flip(a)]. given #15992 (H,wt=21): 18599 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(62,a,12119,a(flip),b,18598,a),flip(a)]. given #15993 (H,wt=17): 18600 T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). [hyper(62,a,8318,a(flip),b,18599,a),flip(a)]. given #15994 (H,wt=29): 18376 K(x,y * ((z * (u \ w)) * K(v5,v5 \ w))) = K(x,y * (z * (u \ (v5 * (w / v5))))). [para(18373(a,1),17272(a,2,2,2,2))]. given #15995 (H,wt=27): 18602 K(x,K(y,z) * (u * (w * (v5 \ z)))) = K(x,u * (w * (v5 \ (y * (z / y))))). [hyper(17055,a,18376,a)]. given #15996 (H,wt=27): 18603 K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ (z * (u / z))))). [hyper(17056,a,18602,a)]. given #15997 (H,wt=29): 18523 K(K(x \ 1,y) * (((z * x) \ 1) \ u),w) = K((T(x \ 1,y) * (z \ 1)) \ u,w). [para(6394(a,1),18521(a,1,1,2,1))]. given #15998 (H,wt=27): 18604 K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x \ 1) * u),w). [hyper(62,a,17486,a(flip),b,18523,a),flip(a)]. given #15999 (H,wt=25): 18605 K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x) * u),w). [hyper(286,a,17504,a(flip),b,18604,a),flip(a)]. given #16000 (H,wt=25): 18606 K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * y) * (K(z,y) * u),w). [hyper(13741,a,18605,a)]. given #16001 (H,wt=21): 18607 K((x * y) * (K(z,y) * u),w) = K((x * T(y,z)) * u,w). [hyper(62,a,17902,a(flip),b,18606,a),flip(a)]. given #16002 (H,wt=21): 18608 K((x * ((y * z) / y)) * u,w) = K((x * T(z,y)) * u,w). [hyper(62,a,16982,a,b,18607,a)]. given #16003 (H,wt=19): 18610 K((x * T(T(y,z),z)) * u,w) = K((x * y) * u,w). [para(204(a,1),18608(a,1,1,1,2)),flip(a)]. given #16004 (H,wt=23): 18609 K((T(x,y) * T(y,z)) * u,w) = K((((z * y) / z) * x) * u,w). [hyper(62,a,17654,a(flip),b,18608,a),flip(a)]. given #16005 (H,wt=21): 18612 K((((x * y) / x) * z) * u,w) = K((T(y,x) * z) * u,w). [hyper(62,a,17633,a(flip),b,18609,a),flip(a)]. given #16006 (H,wt=28): 18613 K(((L(x,y \ 1,y) / y) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). [para(235(a,1),18612(a,1,1,1,1,1))]. given #16007 (H,wt=28): 18614 K((L(x / y,y,y \ 1) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). [para(5919(a,2),18613(a,1,1,1,1))]. given #16008 (H,wt=29): 18560 K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,(z * u) * w)),v6). [para(18552(a,1),17792(a,1,1,2,2))]. given #16009 (H,wt=29): 18579 K(x,x * y) * (z * L(u,z,K(y,x))) = ((K(x,y) * z) * u) * (R(x,y,x) \ x). [hyper(62,a,15528,a(flip),b,18108,a),flip(a)]. given #16010 (H,wt=29): 18593 K(K(x * K(y,z),u * (x \ K(y,z))) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(18592(a,1),18307(a,1,1,1))]. given #16011 (H,wt=25): 18618 K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(K(u,z) * x,y) * w,v5). [hyper(16097,a,18593,a)]. given #16012 (H,wt=21): 18619 K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(x,y) * w,v5). [hyper(286,a,16013,a(flip),b,18618,a),flip(a)]. given #16013 (H,wt=21): 18622 K(K(x,y * T(z,u)) * w,v5) = K(K(x,y * z) * w,v5). [hyper(62,a,18499,a(flip),b,18619,a)]. given #16014 (H,wt=23): 18624 K(K(x * (y * z),z) * u,w) = K(K(z,x * T(y,v5)) * u,w). [hyper(286,a,17145,a,b,18622,a)]. given #16015 (H,wt=29): 18615 K(x * (y \ K(((z \ 1) \ u) * w,v5)),v6) = K(x * (y \ K(v5,(w * z) * u)),v6). [hyper(62,a,16207,a,b,18560,a)]. given #16016 (H,wt=30): 18198 K(x,L(y \ ((z / T(u,z)) \ w),w,z / T(u,z))) = K(x,((T(z,u) / u) * y) \ w). [para(3952(a,2),18187(a,2,2,1))]. given #16017 (H,wt=30): 18222 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (L(y,z,z \ 1) \ 1)) * u,w). [hyper(62,a,14343,a(flip),b,18186,a)]. given #16018 (H,wt=29): 18627 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (((z * y) \ 1) * z)) * u,w). [para(6418(a,1),18222(a,2,1,1,2))]. given #16019 (H,wt=30): 18364 K((T(x,y * z) * (T(z,y) * y)) \ u,w) != v5 | K(((T(z,y) * y) * x) \ u,w) = v5. [para(12115(a,1),18348(a,1,1,1,1))]. given #16020 (H,wt=30): 18378 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,u / w)) * w) / u). [para(12178(a,1),18371(a,1,2,1,1)),flip(a)]. given #16021 (H,wt=30): 18379 K(x,L(T(y,(z \ u) \ u),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(18184(a,1),18372(a,1,1))]. given #16022 (H,wt=28): 18629 K(x,L(T(y,T(z,u)),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(7716(a,1),18379(a,1,1,2,1))]. given #16023 (H,wt=26): 18630 K(x,L(T(y,z),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(15495(a,1),18629(a,1,1))]. given #16024 (H,wt=30): 18431 K(K((x \ ((x \ y) \ 1)) * z,u) * w,v5) = K(K(y \ L(z,x \ 1,x),u) * w,v5). [para(18429(a,1),16054(a,2,1,1))]. given #16025 (H,wt=28): 18632 K(K(x \ L(y,z \ 1,z),u) * w,v5) = K(K(u,(y \ (z \ x)) * z) * w,v5). [hyper(17565,a,18431,a),flip(a)]. given #16026 (H,wt=28): 18633 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,(z \ (u \ y)) * u) * x,v5). [hyper(15093,a,18632,a)]. given #16027 (H,wt=28): 18634 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,u * (z \ (u \ y))) * x,v5). [hyper(286,a,15439,a,b,18633,a),flip(a)]. given #16028 (H,wt=30): 18540 K(x,L(T(y,z \ ((z \ 1) \ u)),z,z \ 1) \ u) = K(x,(z \ ((z \ 1) \ u)) / y). [hyper(13153,a,18538,a),flip(a)]. given #16029 (H,wt=24): 18635 K(x,L(T(y,z),u,u \ 1) \ z) = K(x,(u \ ((u \ 1) \ z)) / y). [para(13684(a,1),18540(a,1,2,1,1))]. given #16030 (H,wt=22): 18636 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y \ 1)). [hyper(13154,a,18635,a),flip(a)]. given #16031 (H,wt=25): 18637 K(x,(y \ ((y \ 1) \ z)) / u) != w | K(x,z / L(u,y,y \ 1)) = w. [para(18635(a,1),13154(a,1))]. given #16032 (H,wt=30): 18626 K(x,L(y \ ((z / T(u,z)) \ w),w,T(u,z) \ z)) = K(x,((T(z,u) / u) * y) \ w). [hyper(62,a,16698,a,b,18198,a)]. given #16033 (H,wt=30): 18628 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,w \ u)) * w) / u). [para(14974(a,2),18378(a,2,2,1,1))]. given #16034 (H,wt=30): 18639 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,T(z,w \ u)))). [hyper(286,a,18213,a(flip),b,18628,a),flip(a)]. given #16035 (H,wt=26): 18640 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,z))). [hyper(286,a,16205,a(flip),b,18639,a),flip(a)]. given #16036 (H,wt=26): 18642 K(x,L(T((y / z) \ K(u,w),K(z,y)),y,z)) = K(x,z * (y \ K(u,w))). [para(12053(a,2),18640(a,1,2,1))]. given #16037 (H,wt=22): 18643 K(x,L((y / z) \ K(u,w),y,z)) = K(x,z * (y \ K(u,w))). [hyper(15156,a,18642,a)]. given #16038 (H,wt=21): 18644 K(x,T(y,z) \ (z * K(u,w))) = K(x,z * (y \ K(u,w))). [hyper(62,a,18181,a(flip),b,18643,a)]. given #16039 (H,wt=21): 18645 K(x,(T(y,z) \ z) * K(u,w)) = K(x,z * (y \ K(u,w))). [hyper(18435,a,18644,a)]. given #16040 (H,wt=19): 18646 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(62,a,17155,a(flip),b,18645,a)]. given #16041 (H,wt=31): 18176 L(x,T(y \ 1,z),K(u,(y \ 1) \ (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). [para(4117(a,1),18175(a,1,2))]. given #16042 (H,wt=29): 18647 L(x,T(y \ 1,z),K(u,y * (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). [para(13500(a,1),18176(a,1,3))]. given #16043 (H,wt=25): 18648 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,T(y \ 1,z),K(u,z)). [para(10(a,1),18647(a,1,3,2)),flip(a)]. given #16044 (H,wt=31): 18203 K(x,L(y,a(z,z \ 1,u),L(u,z \ 1,z))) != w | K(x,L(y,u,L(u,z \ 1,z))) = w. [para(713(a,1),18195(a,1,2,2))]. given #16045 (H,wt=31): 18308 K(x,K(K(y,z) * u,(u \ w) * K(z,y)) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). [para(18290(a,1),15214(a,1,2,1))]. given #16046 (H,wt=27): 18649 K(x,K(y \ z,K(u,w) * y) * (z \ v5)) = K(x,T(z,y * K(u,w)) \ v5). [hyper(16100,a,18308,a)]. given #16047 (H,wt=23): 18650 K(x,T(y,z * K(u,w)) \ v5) = K(x,K(z,z \ y) * (y \ v5)). [hyper(16088,a,18649,a),flip(a)]. given #16048 (H,wt=19): 18652 K(x,T(y,z * K(u,w)) \ v5) = K(x,T(y,z) \ v5). [hyper(286,a,13133,a(flip),b,18650,a),flip(a)]. given #16049 (H,wt=25): 18654 K(x,T((K(y,z) * u) \ w,u) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). [hyper(62,a,15215,a(flip),b,18652,a),flip(a)]. given #16050 (H,wt=25): 18656 K(x,T(y \ (K(z,u) * w),y) \ v5) = K(x,(w / (K(u,z) * y)) \ v5). [hyper(62,a,18497,a(flip),b,18654,a)]. given #16051 (H,wt=23): 18657 K(x,((K(y,z) * u) / w) \ v5) = K(x,(u / (K(z,y) * w)) \ v5). [hyper(62,a,14738,a(flip),b,18656,a)]. given #16052 (H,wt=31): 18342 K(x,K(y \ K(z,u),K(z,u) * (y * w)) * (w \ v5)) = K(x,T(w,K(z,u) / y) \ v5). [para(18341(a,1),16122(a,1,2,1))]. given #16053 (H,wt=27): 18658 K(x,K(y * z,y \ K(u,w)) * (z \ v5)) = K(x,T(z,K(u,w) / y) \ v5). [hyper(16088,a,18342,a)]. given #16054 (H,wt=23): 18659 K(x,T(y,K(z,u) / w) \ v5) = K(x,K(w,w * y) * (y \ v5)). [hyper(62,a,16092,a(flip),b,18658,a),flip(a)]. given #16055 (H,wt=21): 18661 K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w * y) \ v5). [hyper(286,a,16111,a(flip),b,18659,a),flip(a)]. given #16056 (H,wt=19): 18662 K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w) \ v5). [hyper(286,a,13128,a(flip),b,18661,a),flip(a)]. given #16057 (H,wt=19): 18663 K(x,T(y,z \ K(u,w)) \ v5) = K(x,T(y,z) \ v5). [para(73(a,1),18662(a,1,2,1,2)),flip(a)]. given #16058 (H,wt=21): 18664 K(x,T(y,K(z,u) * w) * v5) = K(x,T(y \ 1,w) \ v5). [hyper(62,a,15561,a(flip),b,18663,a)]. given #16059 (H,wt=19): 18666 K(x,T(y,K(z,u) * w) * v5) = K(x,T(y,w) * v5). [hyper(286,a,15557,a(flip),b,18664,a),flip(a)]. given #16060 (H,wt=21): 18668 K(x,T(y,T(z,u) \ w) * v5) = K(x,T(y,w \ z) * v5). [hyper(62,a,15685,a(flip),b,18666,a)]. given #16061 (H,wt=19): 18673 K(x,T(y,z \ u) * w) = K(x,T(y,z / u) * w). [para(16344(a,1),18668(a,1,2,1)),flip(a)]. given #16062 (H,wt=21): 18669 K(x,T(y,T(z,u) * w) * v5) = K(x,T(y,z * w) * v5). [para(4644(a,1),18666(a,1,2,1,2)),flip(a)]. given #16063 (H,wt=23): 18667 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,u * z) * v6). [hyper(62,a,17030,a,b,18666,a)]. given #16064 (H,wt=23): 18670 K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,T(y,z * v5) * v6). [para(6567(a,1),18666(a,1,2,1,2)),flip(a)]. given #16065 (H,wt=25): 18671 K(x,T(y,(z * T(u,w)) \ v5) * v6) = K(x,T(y,(z * u) \ v5) * v6). [para(18400(a,1),18666(a,1,2,1))]. given #16066 (H,wt=29): 18676 K(x,T(y,(z * u) \ (w \ K(v5,v6))) * v7) = K(x,T(y,w * (z * T(u,v8))) * v7). [hyper(62,a,18667,a(flip),b,18671,a),flip(a)]. given #16067 (H,wt=31): 18365 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * ((u \ z) * y)). [hyper(62,a,17786,a,b,18338,a)]. given #16068 (H,wt=31): 18448 K(x \ K(((y \ z) * u) \ z,w),((z \ y) \ u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). [para(18446(a,1),8519(a,1,1,2))]. given #16069 (H,wt=31): 18555 K((x * y) * a(y,z,z \ 1),L(u,a(y,z,z \ 1),y)) = K(x * R(y,z,z \ 1),u). [para(5994(a,1),18552(a,2,1,2))]. given #16070 (H,wt=31): 18611 K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((z * ((y * z) \ 1)) * x) * u,w). [para(14056(a,1),18610(a,1,1,1))]. given #16071 (H,wt=31): 18675 K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,v6 * T(y,z * v5)) * K(x,K(v6,T(y,v7))). [hyper(286,a,15188,a,b,18670,a),flip(a)]. given #16072 (H,wt=23): 18678 K(x,y * T(z,u * (K(w,v5) * v6))) = K(x,y * T(z,u * v6)). [hyper(15514,a,18675,a)]. given #16073 (H,wt=19): 18679 K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)). [para(5846(a,1),18678(a,1,2,2,2)),flip(a)]. given #16074 (H,wt=21): 18680 K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,v5 \ u)). [hyper(62,a,15684,a(flip),b,18679,a)]. given #16075 (H,wt=19): 18682 K(x,y * T(z,u \ w)) = K(x,y * T(z,u / w)). [para(16344(a,1),18680(a,1,2,2)),flip(a)]. given #16076 (H,wt=21): 18683 K(x,y * T(z,u * (w \ 1))) = K(x,y * T(z,u \ w)). [para(16345(a,1),18680(a,1,2,2))]. given #16077 (H,wt=25): 18684 K(x,((y / z) \ 1) * T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). [hyper(62,a,13951,a(flip),b,18683,a),flip(a)]. given #16078 (H,wt=23): 18685 K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). [hyper(13560,a,18684,a)]. given #16079 (H,wt=21): 18686 K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((y / z) \ 1)). [para(6431(a,1),18685(a,2,2,2))]. given #16080 (H,wt=19): 18687 K(x,(y / z) \ T(u,y \ z)) = K(x,u / (y / z)). [hyper(286,a,13554,a(flip),b,18686,a),flip(a)]. given #16081 (H,wt=31): 18677 K(x \ K(((y \ z) * u) \ z,w),((y \ z) * u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). [hyper(62,a,18450,a(flip),b,18448,a)]. given #16082 (H,wt=23): 18688 K(x,(((y \ z) \ u) \ y) \ 1) = K(x,(((z \ y) * u) \ y) \ 1). [hyper(15373,a,18677,a),flip(a)]. given #16083 (H,wt=21): 18689 K(x,(((y \ z) \ u) \ y) \ 1) = K(x,y \ ((z \ y) * u)). [hyper(286,a,6717,a(flip),b,18688,a),flip(a)]. given #16084 (H,wt=19): 18690 K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). [hyper(6979,a,18689,a)]. given #16085 (H,wt=32): 18064 K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ K(x,y))))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [para(18059(a,2),16875(a,1,2,2))]. given #16086 (H,wt=32): 18081 (T(x,y) \ K(z,L(u,w,x \ (w \ 1)))) \ K(y,x) = (((x \ 1) / w) * (w * K(z,u))) \ 1. [para(18079(a,1),13572(a,2,1))]. given #16087 (H,wt=32): 18201 K(x,L(T(y * z,z \ 1) \ u,y,L(z \ 1,z,y))) = K(x,y \ (L(z \ 1,z,y) * u)). [para(6938(a,1),18189(a,1,2,1,1))]. given #16088 (H,wt=29): 18692 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (L(z \ 1,z,y) * u)). [hyper(62,a,18056,a(flip),b,18201,a)]. given #16089 (H,wt=32): 18221 K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(K(z * u,w) * (x * (y \ 1)),v5). [hyper(286,a,17728,a,b,18186,a),flip(a)]. given #16090 (H,wt=30): 18694 K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(x * (y \ K(z * u,w)),v5). [hyper(286,a,17087,a(flip),b,18221,a),flip(a)]. given #16091 (H,wt=23): 18695 K(x * (y \ K(z \ u,w)),v5) = K(x * (y \ K(z * u,w)),v5). [hyper(17373,a,18694,a)]. given #16092 (H,wt=31): 18697 K(x * (y \ K(z \ u,w)),L(v5,K(v6,v7),v8)) != v9 | K(x * (y \ K(z * u,w)),v5) = v9. [para(18695(a,2),17373(a,1))]. given #16093 (H,wt=26): 18698 K(x * (y \ K(z \ u,w)),v5) != v6 | K(x * (y \ K(z * u,w)),v5) = v6. [para(334(a,1),18697(a,1,2))]. given #16094 (H,wt=32): 18481 K(x,y \ ((L(y,z,u) \ 1) \ a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). [para(13770(a,1),18480(a,1,2,2,2))]. given #16095 (H,wt=30): 18699 K(x,y \ (L(y,z,u) * a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). [hyper(62,a,18199,a(flip),b,18481,a)]. given #16096 (H,wt=23): 18700 K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = K(x,y \ L(y,z,u)). [hyper(17274,a,18699,a),flip(a)]. given #16097 (H,wt=21): 18701 K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = a(y,z,K(x,u)). [hyper(286,a,14276,a(flip),b,18700,a),flip(a)]. given #16098 (H,wt=17): 18702 K(x,T(y \ L(y,z,u),w)) = a(y,z,K(x,u)). [para(4893(a,1),18701(a,1,2,1,2))]. given #16099 (H,wt=32): 18625 K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),L(x,y,z)) * v6,v7). [para(14373(a,1),18624(a,1,1,1)),flip(a)]. given #16100 (H,wt=29): 18703 K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),x) * v6,v7). [hyper(286,a,17078,a(flip),b,18625,a),flip(a)]. given #16101 (H,wt=30): 18705 K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(((x * y) * z) * u,x) * v5,v6). [hyper(286,a,16171,a(flip),b,18703,a),flip(a)]. given #16102 (H,wt=33): 18465 K(x,y * (z \ (u * w))) * K(x,K(y,z \ (u * w))) = K(x,(z \ (T(w,w * u) * u)) * y). [para(18464(a,1),14882(a,1,1))]. given #16103 (H,wt=23): 18706 K(x,(y \ (T(z,z * u) * u)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,12192,a(flip),b,18465,a),flip(a)]. given #16104 (H,wt=34): 18052 K(x,L((y \ z) \ u,T(z,y \ 1),(y \ z) \ z)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). [hyper(62,a,14608,a(flip),b,18044,a),flip(a)]. given #16105 (H,wt=30): 18708 K(x,L((y \ z) \ u,T(z,y \ 1),y)) = K(x,T(z,y \ 1) \ ((z \ (y \ z)) \ u)). [hyper(62,a,16699,a(flip),b,18052,a)]. given #16106 (H,wt=34): 18143 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y,z,K(u,w)) \ 1,L(y,z,K(u,w))). [para(18141(a,2),4912(a,1,1,2))]. given #16107 (H,wt=34): 18194 K(x,L(y,a(z,u,u \ 1),R(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). [para(5994(a,1),18184(a,1,2,3))]. given #16108 (H,wt=34): 18425 K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,(x * y) \ 1)) = K(z \ ((y * x) \ u),w). [para(11378(a,1),18421(a,2,1,2))]. given #16109 (H,wt=34): 18426 K(((x * K(y,z)) * T(u,x)) \ w,L(v5,w,u \ 1)) = K((K(y,T(z,x * u)) * x) \ (u \ w),v5). [para(15727(a,1),18421(a,1,1,1))]. given #16110 (H,wt=34): 18449 K(x \ K(((y \ z) * u) \ z,w),((z \ y) \ u) \ z) != v5 | K(x,(((z \ y) \ u) \ z) \ 1) = v5. [para(18446(a,1),8520(a,1,1,2))]. given #16111 (H,wt=34): 18539 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(u \ (z \ 1),u) * w))). [para(11412(a,1),18537(a,1,2,2))]. given #16112 (H,wt=34): 18556 K((x * K(x * y,y \ 1)) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [para(10660(a,1),18552(a,1,1,1))]. given #16113 (H,wt=34): 18710 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))). [para(18141(a,2),18143(a,2,2))]. given #16114 (H,wt=34): 18711 K(x,L(y,a(z,u,u \ 1),L(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). [hyper(14490,a,18194,a)]. given #16115 (H,wt=29): 18716 K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [hyper(62,a,14343,a(flip),b,18711,a),flip(a)]. given #16116 (H,wt=25): 18718 K(x,L(y,z \ 1,R(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [para(5994(a,1),18716(a,1,2,3))]. given #16117 (H,wt=25): 18719 K(x,L(y,z \ 1,L(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [hyper(14490,a,18718,a)]. given #16118 (H,wt=20): 18720 K(x,L(y,a(z,u,u \ 1),z)) = K(x,L(y,z \ 1,z)). [hyper(62,a,14343,a(flip),b,18719,a),flip(a)]. given #16119 (H,wt=15): 18722 K(x,L(y,a(z,u,u \ 1),z)) = K(x,y). [hyper(286,a,13499,a(flip),b,18720,a),flip(a)]. given #16120 (H,wt=23): 18724 K((x * y) * a(y,z,z \ 1),u) = K(x * R(y,z,z \ 1),u). [hyper(62,a,18555,a(flip),b,18722,a),flip(a)]. given #16121 (H,wt=34): 18712 K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,14339,a(flip),b,18425,a)]. given #16122 (H,wt=34): 18713 K(((x * T(y,x)) \ z) * K(u,w),L(v5,z,y \ 1)) = K((K(w,T(u,x * y)) * x) \ (y \ z),v5). [hyper(62,a,17586,a(flip),b,18426,a)]. given #16123 (H,wt=32): 18726 K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(((u * z) \ w) * K(y,x),L(v5,w,u \ 1)). [para(108(a,1),18713(a,1,1,1,1)),flip(a)]. given #16124 (H,wt=34): 18714 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(z * u,u \ 1) * w))). [para(13530(a,1),18539(a,2,2,2,2,1))]. given #16125 (H,wt=34): 18715 K(K(x * y,y \ 1) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [para(11530(a,1),18556(a,1,1))]. given #16126 (H,wt=32): 18728 K(K(x * y,y) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [hyper(14807,a,18715,a)]. given #16127 (H,wt=30): 18729 K(K(x,y) * (y * z),L(u,z,x \ 1)) = K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u). [hyper(16049,a,18728,a)]. given #16128 (H,wt=30): 18730 K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u) = K(y * (K(x,y) * z),L(u,z,x \ 1)). [para(5885(a,1),18729(a,1,1)),flip(a)]. given #16129 (H,wt=28): 18731 K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [hyper(286,a,16070,a(flip),b,18730,a)]. given #16130 (H,wt=24): 18732 K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (y \ z),u). [para(4893(a,1),18731(a,2,1,2,1))]. given #16131 (H,wt=23): 18733 K(((x \ 1) \ y) * (x \ z),u) = K((x * y) * ((x \ 1) * z),u). [hyper(16075,a,18732,a),flip(a)]. given #16132 (H,wt=34): 18727 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (K(u * z,u \ 1) * (z \ w))). [para(14001(a,1),18714(a,2,2,2))]. given #16133 (H,wt=34): 18734 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,(y \ (z \ w)) * K(u * z,u \ 1)). [hyper(286,a,18289,a(flip),b,18727,a),flip(a)]. given #16134 (H,wt=32): 18735 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,u * z) * (y \ (z \ w))). [hyper(286,a,15217,a(flip),b,18734,a),flip(a)]. given #16135 (H,wt=32): 18736 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,z * u) * (y \ (z \ w))). [hyper(286,a,16108,a,b,18735,a),flip(a)]. given #16136 (H,wt=30): 18737 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(z,u) * (y \ (z \ w))). [hyper(286,a,14734,a(flip),b,18736,a),flip(a)]. given #16137 (H,wt=35): 18200 K(x,L(R(y,z,z \ 1) \ u,a(y,z,z \ 1),y \ 1)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). [para(5994(a,1),18189(a,1,2,1,1))]. given #16138 (H,wt=25): 18738 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,R(y,z,z \ 1) \ u). [hyper(62,a,18535,a(flip),b,18200,a),flip(a)]. given #16139 (H,wt=35): 18485 K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,((R(y \ 1,y,z) * u) / z) \ 1). [hyper(8520,a,18484,a),flip(a)]. given #16140 (H,wt=33): 18740 K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,z / (R(y \ 1,y,z) * u)). [hyper(286,a,5964,a(flip),b,18485,a),flip(a)]. given #16141 (H,wt=22): 18741 K(x,y / (R(z \ 1,z,y) * u)) = K(x,((z \ u) / y) \ 1). [hyper(15373,a,18740,a),flip(a)]. given #16142 (H,wt=20): 18742 K(x,y / (R(z \ 1,z,y) * u)) = K(x,y / (z \ u)). [hyper(286,a,5964,a(flip),b,18741,a),flip(a)]. given #16143 (H,wt=23): 18743 K(x,y / (R(z \ 1,z,y) * u)) != w | K(x,y / (z \ u)) = w. [para(18741(a,2),7036(a,1))]. given #16144 (H,wt=28): 18744 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (K(v5,w) * u))). [hyper(17703,a,18742,a)]. given #16145 (H,wt=32): 18746 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,T(v5,v6)))) = K(x,y / (z \ (K(v5,T(w,v6)) * u))). [para(7777(a,1),18744(a,1,2,2,2))]. given #16146 (H,wt=30): 18747 K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y * ((R(z \ 1,z,y) * v6) \ K(w,u))). [hyper(16847,a,18746,a),flip(a)]. given #16147 (H,wt=35): 18530 K(x \ K(((y * z) * u) \ w,v5),(T(z * y,z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). [para(18528(a,1),8519(a,1,1,2))]. given #16148 (H,wt=33): 18749 K(x \ K(((y * z) * u) \ w,v5),((y * z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). [hyper(62,a,18501,a(flip),b,18530,a)]. given #16149 (H,wt=25): 18750 K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,(((z * y) * u) \ w) \ 1). [hyper(15373,a,18749,a),flip(a)]. given #16150 (H,wt=23): 18751 K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,w \ ((z * y) * u)). [hyper(286,a,6717,a(flip),b,18750,a),flip(a)]. given #16151 (H,wt=21): 18752 K(x,y \ (T(z * u,z) * w)) = K(x,y \ ((u * z) * w)). [hyper(6979,a,18751,a)]. given #16152 (H,wt=21): 18753 K(x,y \ (((z \ u) * z) * w)) = K(x,y \ (T(u,z) * w)). [para(10(a,1),18752(a,1,2,2,1,1)),flip(a)]. given #16153 (H,wt=35): 18580 T(x,(K(y,y * z) * (u * L(w,u,K(z,y)))) \ 1) = T(x,(y * ((K(y,z) * u) * w)) \ R(y,z,y)). [para(18108(a,1),6745(a,1,2,1))]. given #16154 (H,wt=33): 18754 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ R(w,u,w)). [para(13570(a,1),18580(a,1,2))]. given #16155 (H,wt=30): 18755 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ w). [hyper(286,a,13124,a(flip),b,18754,a),flip(a)]. given #16156 (H,wt=28): 18757 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,((K(w,u) * y) * z) \ 1). [hyper(286,a,6753,a(flip),b,18755,a),flip(a)]. given #16157 (H,wt=28): 18759 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(z \ 1) * (y \ K(u,w))). [para(13625(a,1),18757(a,2,2))]. given #16158 (H,wt=26): 18760 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,z \ (y \ K(u,w))). [hyper(286,a,13674,a(flip),b,18759,a),flip(a)]. given #16159 (H,wt=29): 18761 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) != v5 | T(x,z \ (y \ K(u,w))) = v5. [para(18759(a,2),13695(a,1))]. given #16160 (H,wt=35): 18581 K(x,L(y,(z * K(u,T(w,v5))) * v6,K(w,T(u,v5)) / z)) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [para(7777(a,1),18237(a,1,2,3,1))]. given #16161 (H,wt=35): 18601 K(x,(K(y,z) / (u / (y * z))) * T(w,u / (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(18600(a,1),14064(a,1,2,2))]. given #16162 (H,wt=35): 18762 K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,T(u,v5)))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [hyper(62,a,16698,a,b,18581,a)]. given #16163 (H,wt=33): 18764 K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,u))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [para(17969(a,1),18762(a,1,2))]. given #16164 (H,wt=31): 18766 K(x,L(y,(z * K(u,w)) * v5,z \ K(w,u))) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). [para(17977(a,1),18764(a,1,2))]. given #16165 (H,wt=35): 18763 K(x,(K(y,z) / (u / (y * z))) * T(w,u \ (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [hyper(62,a,18682,a,b,18601,a)]. given #16166 (H,wt=35): 18768 K(x,K(y,z) * ((u / (z * y)) \ T(w,u \ (y * z)))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). [hyper(18312,a,18763,a)]. given #16167 (H,wt=31): 18769 K(x,(y / (z * u)) \ T(w,y \ (z * u))) = K(x,w * (K(z,u) \ ((y / (u * z)) \ 1))). [hyper(62,a,17459,a(flip),b,18768,a)]. given #16168 (H,wt=25): 18770 K(x,y * (K(z,u) \ ((w / (u * z)) \ 1))) = K(x,y / (w / (z * u))). [hyper(62,a,18687,a(flip),b,18769,a),flip(a)]. given #16169 (H,wt=25): 18771 K(x,y * (K(z,u) * ((w / (z * u)) \ 1))) = K(x,y / (w / (u * z))). [para(5839(a,1),18770(a,1,2,2))]. given #16170 (H,wt=23): 18772 K(x,y * (K(z,u) / (w / (z * u)))) = K(x,y / (w / (u * z))). [para(13636(a,1),18771(a,1,2,2))]. given #16171 (H,wt=23): 18773 K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (w * u))). [hyper(16941,a,18772,a)]. given #16172 (H,wt=21): 18774 K(x,y / (z / (T(u,w) * w))) = K(x,y / (z / (w * u))). [hyper(62,a,15477,a(flip),b,18773,a)]. given #16173 (H,wt=29): 18775 K(x,y / (z / (T(u,w) * T(T(w,v5),v5)))) = K(x,y / (z / (T(T(w,v5),v5) * u))). [para(8317(a,1),18774(a,1,2,2,2,1))]. given #16174 (H,wt=36): 18065 ((K(x,L(y,z,u \ (K(x,y) / z))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). [para(18045(a,1),16183(a,1,1,1,1))]. given #16175 (H,wt=34): 18777 (K(x,L(y,z,u \ (K(y,x) / z))) * u) * K(w,v5) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). [para(11785(a,1),18065(a,1,1,1))]. given #16176 (H,wt=36): 18452 K(x * (y \ K(z * (((u / (w \ 1)) / w) * v5),z)),v6) = K(x * (y \ K(u * L(v5,w \ 1,w),z)),v6). [para(18451(a,1),17140(a,2,1,2,2))]. given #16177 (H,wt=36): 18745 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,R(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). [para(11753(a,2),18742(a,1,2,2))]. given #16178 (H,wt=36): 18778 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,L(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). [para(14489(a,1),18745(a,1,2,2,2))]. given #16179 (H,wt=33): 18779 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(w,v5)))). [para(18056(a,1),18778(a,1,2,2,2))]. given #16180 (H,wt=33): 18780 K(x,y * ((R(z \ 1,z,y) * u) \ K(L(w,u,z \ 1),v5))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(15467,a,18779,a)]. given #16181 (H,wt=33): 18782 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [para(11780(a,1),18780(a,1,2,2,2))]. given #16182 (H,wt=28): 18783 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (u * K(w,v5)))). [hyper(17803,a,18782,a)]. given #16183 (H,wt=25): 18784 K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y / (z \ (v6 * K(w,u)))). [hyper(62,a,18747,a,b,18783,a)]. given #16184 (H,wt=37): 18313 K(x,K(y,K(z,u) * (w \ v5))) * K(x,y * (v5 \ (w * K(z,u)))) = K(x,(v5 \ ((K(u,z) / w) \ 1)) * y). [para(18311(a,1),13597(a,1,1,2))]. given #16185 (H,wt=33): 18785 K(x,K(y,z \ u)) * K(x,y * (u \ (z * K(w,v5)))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). [para(15807(a,1),18313(a,1,1))]. given #16186 (H,wt=37): 18432 K(((x * K(y,z)) * T(u,x)) \ w,L(v5,w,u \ 1)) != v6 | K((K(y,T(z,x * u)) * x) \ (u \ w),v5) = v6. [para(15727(a,1),18422(a,1,1,1))]. given #16187 (H,wt=37): 18616 T(x,(((K(y,z) * u) * w) * (R(y,z,y) \ y)) \ 1) = T(x,(u * L(w,u,K(z,y))) \ (K(y,y * z) \ 1)). [para(18579(a,1),13687(a,1,2,1))]. given #16188 (H,wt=37): 18787 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * (((K(w,u) * y) * z) \ 1)). [para(6413(a,1),18616(a,1,2)),flip(a)]. given #16189 (H,wt=37): 18788 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((z \ 1) * (y \ K(u,w)))). [para(13625(a,1),18787(a,2,2,2))]. given #16190 (H,wt=35): 18789 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((y * z) \ K(w,u))). [hyper(286,a,17830,a(flip),b,18788,a),flip(a)]. given #16191 (H,wt=28): 18790 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(y * z) \ K(w,u)). [hyper(286,a,13098,a(flip),b,18789,a),flip(a)]. given #16192 (H,wt=26): 18792 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(y * z) \ K(w,u)). [para(4781(a,1),18790(a,1,2,2))]. given #16193 (H,wt=19): 18793 T(x,(y * z) \ K(u,w)) = T(x,z \ (y \ K(w,u))). [hyper(18761,a,18792,a),flip(a)]. given #16194 (H,wt=31): 18794 T(x,(((y * K(z,u)) * w) \ 1) \ K(v5,v6)) = T(x,(K(u,z) / y) \ ((w \ 1) \ K(v6,v5))). [para(13594(a,2),18793(a,1,2,1))]. given #16195 (H,wt=29): 18795 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,((u * K(z,y)) * w) * K(v6,v5)). [hyper(62,a,13677,a(flip),b,18794,a),flip(a)]. given #16196 (H,wt=29): 18796 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,(u * K(z,y)) * (w * K(v6,v5))). [hyper(286,a,17033,a(flip),b,18795,a),flip(a)]. given #16197 (H,wt=29): 18797 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [hyper(286,a,17026,a(flip),b,18796,a),flip(a)]. given #16198 (H,wt=27): 18798 T(x,(K(y,z) / u) \ (w * K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [para(13487(a,1),18797(a,1,2,2))]. given #16199 (H,wt=27): 18799 T(x,((K(y,z) / u) \ w) * K(v5,v6)) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [hyper(62,a,18344,a(flip),b,18798,a)]. given #16200 (H,wt=39): 18061 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ ((x * K(y,z)) \ 1))) * u. [para(4900(a,2),18060(a,2,1)),flip(a)]. given #16201 (H,wt=37): 18800 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ (K(z,y) / x))) * u. [para(13591(a,1),18061(a,2,1,2,3,2))]. given #16202 (H,wt=33): 18801 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. [para(10071(a,1),18800(a,2,1))]. given #16203 (H,wt=33): 18803 L(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. [para(18088(a,1),18801(a,1,1))]. given #16204 (H,wt=28): 18804 K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * (((z * K(x,y)) \ 1) \ u). [para(13634(a,1),18803(a,1,1)),flip(a)]. given #16205 (H,wt=26): 18806 K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * ((K(y,x) / z) \ u). [para(13591(a,1),18804(a,2,2,1))]. given #16206 (H,wt=31): 18807 ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). [para(18806(a,1),18777(a,1,1)),flip(a)]. given #16207 (H,wt=23): 18808 (K(x,y) / z) * ((z \ 1) \ u) = (z \ 1) * ((K(y,x) / z) \ u). [hyper(12205,a,18807,a)]. given #16208 (H,wt=32): 18809 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). [hyper(62,a,16771,a,b,18807,a)]. given #16209 (H,wt=34): 18811 K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (z \ 1) * ((K(y,x) / z) \ (v5 * K(w,u))). [hyper(62,a,15679,a,b,18808,a)]. given #16210 (H,wt=34): 18813 K(x,L(y,z,z \ (u \ K(w,v5)))) * (u * K(v5,w)) = (z \ 1) * ((K(y,x) / z) \ (u * K(v5,w))). [para(18059(a,2),18811(a,1,1))]. given #16211 (H,wt=39): 18217 R((x * K(y,z)) \ 1,L(u,x,K(y,z)) \ 1,L(u,x,K(y,z))) = (((u * x) * K(y,z)) \ 1) * L(u,x,K(y,z)). [para(18090(a,1),6405(a,2,1,1))]. given #16212 (H,wt=37): 18814 R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (((u * z) * K(y,x)) \ 1) * L(u,z,K(y,x)). [para(13591(a,1),18217(a,1,1))]. given #16213 (H,wt=35): 18815 R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). [para(13591(a,1),18814(a,2,1))]. given #16214 (H,wt=35): 18816 R(K(x,y) / z,L(u \ 1,z,K(y,x)),L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). [para(18141(a,2),18815(a,1,2))]. given #16215 (H,wt=39): 18238 K(x,L(y,(z * K(u,T(w,v5))) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [para(17215(a,1),18232(a,1,2,2))]. given #16216 (H,wt=37): 18817 K(x,L(y,(z * K(u,w)) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [para(17977(a,1),18238(a,1,2))]. given #16217 (H,wt=37): 18818 K(x,L(y,(z * K(u,w)) * v5,L(z \ 1,K(u,w),v5))) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [hyper(62,a,14537,a,b,18817,a)]. given #16218 (H,wt=32): 18820 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [hyper(17456,a,18818,a)]. given #16219 (H,wt=39): 18266 K(x,L(y \ (z * (u \ K(w,v5))),y,(z * (u \ 1)) \ 1)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [para(14577(a,1),18239(a,1,2,1,2))]. given #16220 (H,wt=37): 18821 K(x,L(y \ (z * (u \ K(w,v5))),y,u * (z \ 1))) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [para(6403(a,1),18266(a,1,2,3))]. given #16221 (H,wt=35): 18822 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [hyper(62,a,18043,a(flip),b,18821,a)]. given #16222 (H,wt=39): 18525 K(x,(((y * z) / y) * u) \ w) * a(v5,v6,K((T(z,y) * u) \ w,x)) = K(x,L((((y * z) / y) * u) \ w,v6,v5)). [para(18522(a,1),11746(a,1,2,3))]. given #16223 (H,wt=37): 18823 K(x,(T(y,z) * u) \ w) * a(v5,v6,K((T(y,z) * u) \ w,x)) = K(x,L((((z * y) / z) * u) \ w,v6,v5)). [para(18398(a,1),18525(a,1,1))]. given #16224 (H,wt=27): 18824 K(x,L((((y * z) / y) * u) \ w,v5,v6)) = K(x,L((T(z,y) * u) \ w,v5,v6)). [hyper(11806,a,18823,a),flip(a)]. given #16225 (H,wt=26): 18825 K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (((z * y) / z) \ w)). [hyper(62,a,16877,a(flip),b,18824,a),flip(a)]. given #16226 (H,wt=21): 18826 K(x,y \ (((z * u) / z) \ w)) = K(x,y \ (T(u,z) \ w)). [hyper(62,a,16777,a(flip),b,18825,a),flip(a)]. given #16227 (H,wt=21): 18827 K(x,(y \ (z \ u)) * K(z,w)) = K(x,y \ (T(z,w) \ u)). [hyper(18436,a,18826,a)]. given #16228 (H,wt=21): 18828 K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). [hyper(15095,a,18827,a)]. given #16229 (H,wt=19): 18831 K(x,y \ T(z \ u,z)) = K(x,y \ (T(z,u) \ u)). [hyper(62,a,15283,a(flip),b,18828,a)]. given #16230 (H,wt=17): 18832 K(x,y \ (T(z,u) \ u)) = K(x,y \ (u / z)). [hyper(62,a,14873,a(flip),b,18831,a),flip(a)]. given #16231 (H,wt=27): 18833 K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (T(u,u \ w) / z)). [para(7696(a,1),18832(a,1,2,2,1))]. given #16232 (H,wt=28): 18829 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18737,a,b,18828,a)]. given #16233 (H,wt=26): 18834 K(x,L(y,z,z \ 1) \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18753,a(flip),b,18829,a)]. given #16234 (H,wt=33): 18830 K(x \ K(y \ (T(z,u) \ w),v5),y \ (T(z,u) \ w)) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). [hyper(62,a,17488,a(flip),b,18828,a),flip(a)]. given #16235 (H,wt=25): 18835 K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(u \ (T(y,z) \ w)) \ 1). [hyper(15373,a,18830,a),flip(a)]. given #16236 (H,wt=23): 18836 K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(T(y,z) \ w) \ u). [hyper(286,a,6717,a(flip),b,18835,a),flip(a)]. given #16237 (H,wt=21): 18837 K(x,(y \ (z \ u)) \ K(w,z)) = K(x,(T(z,w) \ u) \ y). [hyper(6993,a,18836,a)]. given #16238 (H,wt=21): 18838 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(62,a,18366,a(flip),b,18837,a)]. given #16239 (H,wt=17): 18840 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [hyper(62,a,18324,a(flip),b,18838,a),flip(a)]. given #16240 (H,wt=21): 18839 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [hyper(15222,a,18838,a)]. given #16241 (H,wt=24): 18841 K(x,(T(y,z) \ u) \ w) != v5 | K(x,K(y,z) * ((y \ u) \ w)) = v5. [para(18838(a,1),15222(a,1))]. given #16242 (H,wt=35): 18842 K(x,(T(y,K(z,L(u,w,y)) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). [para(18196(a,1),18840(a,2,2,1))]. given #16243 (H,wt=32): 18843 K(x,(T(y,K(z,u) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). [para(17015(a,1),18842(a,1,2,1,1))]. given #16244 (H,wt=39): 18562 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y * ((u \ 1) * z),y)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(18561(a,1),8734(a,1,2,2))]. given #16245 (H,wt=39): 18691 K(x,a(y,z,z \ 1) \ ((a(y,z,z \ 1) \ R(y,z,z \ 1)) \ u)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). [para(1047(a,1),18690(a,2,2,2,1))]. given #16246 (H,wt=27): 18846 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,a(y,z,z \ 1) \ (y \ u)). [para(3567(a,1),18691(a,1,2,2,1)),flip(a)]. given #16247 (H,wt=39): 18810 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) / (x \ 1)) * (T(x,x \ 1) \ u)) * K(w,v5). [para(109(a,2),18807(a,1,1,2,1)),flip(a)]. given #16248 (H,wt=37): 18847 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (T(x,x \ 1) \ u)) * K(w,v5). [para(13590(a,1),18810(a,2,1,1))]. given #16249 (H,wt=33): 18848 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). [para(4883(a,1),18847(a,2,1,2,1))]. given #16250 (H,wt=29): 18849 (x * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). [para(4893(a,1),18848(a,1,1,1))]. given #16251 (H,wt=27): 18850 ((K(x,y) * z) * (z \ u)) * K(w,v5) = (z * ((K(y,x) * z) \ u)) * K(w,v5). [para(13590(a,1),18849(a,1,1,2,1)),flip(a)]. given #16252 (H,wt=19): 18851 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [hyper(12205,a,18850,a)]. given #16253 (H,wt=20): 18852 K(x,L(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u). [hyper(14442,a,18851,a)]. given #16254 (H,wt=21): 18853 (x / y) * (y * K(z,T(u,x))) = y * ((K(u,z) * y) \ x). [hyper(62,a,14479,a,b,18851,a)]. given #16255 (H,wt=21): 18856 x * ((K(y,T(z,u)) * x) \ u) = (u / x) * (x * K(z,y)). [para(8155(a,1),18853(a,1,2,2)),flip(a)]. given #16256 (H,wt=25): 18855 ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((K(T(u,y),z) * y) \ x). [hyper(62,a,18630,a(flip),b,18852,a)]. given #16257 (H,wt=23): 18857 ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((y * K(u,z)) \ x). [para(8147(a,1),18855(a,2,2,1))]. given #16258 (H,wt=19): 18858 (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). [para(73(a,1),18857(a,1,1,1))]. given #16259 (H,wt=24): 18859 (x * K(y,z)) * (x \ (x * (K(z,y) * u))) = x * L(u,K(z,y),x). [para(18(a,2),18858(a,2,2))]. given #16260 (H,wt=20): 18861 (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). [para(9(a,1),18859(a,1,2))]. given #16261 (H,wt=17): 18862 L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). [hyper(6907,a,18861,a)]. given #16262 (H,wt=22): 18865 L(K(x,T(y,z)) * u,K(y,x),z) = z \ ((K(x,y) * z) * u). [hyper(62,a,16732,a(flip),b,18862,a),flip(a)]. given #16263 (H,wt=19): 18866 (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). [hyper(62,a,11418,a(flip),b,18865,a)]. given #16264 (H,wt=21): 18869 x \ ((K(T(y,x),z) * x) * u) = (x * K(z,y)) \ (x * u). [para(8146(a,1),18866(a,1,1)),flip(a)]. given #16265 (H,wt=19): 18870 (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). [para(8147(a,1),18869(a,1,2,1)),flip(a)]. given #16266 (H,wt=23): 18864 x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x) = w. [para(18861(a,2),301(a,1,2)),flip(b)]. given #16267 (H,wt=25): 18871 T(x,((y * K(z,u)) \ 1) * (y * w)) = T(x,y \ ((y * K(u,z)) * w)). [para(18870(a,1),13674(a,2,2))]. given #16268 (H,wt=23): 18872 T(x,y \ ((y * K(z,u)) * w)) = T(x,(K(z,u) / y) * (y * w)). [para(13591(a,1),18871(a,1,2,1)),flip(a)]. given #16269 (H,wt=23): 18873 T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * (y \ (y * w))). [hyper(286,a,17515,a(flip),b,18872,a),flip(a)]. given #16270 (H,wt=19): 18874 T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * w). [para(9(a,1),18873(a,2,2,2))]. given #16271 (H,wt=25): 18875 ((x * K(y,z)) * u) / T(x,K(z,y) * u) = x \ ((x * K(y,z)) * u). [para(18874(a,1),240(a,1,2))]. given #16272 (H,wt=24): 18876 ((K(x,y) * z) * R(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). [hyper(62,a,14719,a(flip),b,18875,a)]. given #16273 (H,wt=24): 18877 ((K(x,y) * z) * L(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). [para(17206(a,1),18876(a,1,1,2))]. given #16274 (H,wt=21): 18878 (x * (T(K(y,z),x) * u)) / u = u \ ((u * K(y,z)) * x). [para(11398(a,1),18877(a,1,1))]. given #16275 (H,wt=21): 18879 (x * (K(y,T(z,x)) * u)) / u = u \ ((u * K(y,z)) * x). [para(7723(a,2),18878(a,1,1,2,1))]. given #16276 (H,wt=29): 18867 (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) * (x \ 1)) \ ((u * x) \ 1). [para(6394(a,1),18866(a,1,2)),flip(a)]. given #16277 (H,wt=27): 18880 (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). [para(13636(a,1),18867(a,2,1))]. given #16278 (H,wt=25): 18881 (x \ 1) \ ((K(y,z) / x) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). [para(13636(a,1),18880(a,1,2,1))]. given #16279 (H,wt=23): 18882 ((x * (y * K(z,u))) / y) \ 1 = (K(z,u) / y) \ ((x * y) \ 1). [hyper(62,a,13595,a(flip),b,18881,a)]. given #16280 (H,wt=21): 18883 (x * y) / ((K(z,u) / y) \ 1) = (x * (y * K(z,u))) / y. [hyper(38,a,6422,a,b,18882,a)]. given #16281 (H,wt=19): 18884 (x * (y * K(z,u))) / y = (x * y) / (y * K(u,z)). [para(13520(a,1),18883(a,1,2)),flip(a)]. given #16282 (H,wt=25): 18885 ((x * y) / (y * K(z,u))) * K(y,K(u,z)) = (x * (K(u,z) * y)) / y. [para(18884(a,1),10634(a,1,1))]. given #16283 (H,wt=23): 18886 (x * y) / (T(y,K(z,u)) * K(u,z)) = (x * (K(z,u) * y)) / y. [hyper(62,a,16832,a(flip),b,18885,a)]. given #16284 (H,wt=19): 18887 (x * (K(y,z) * u)) / u = (x * u) / (K(z,y) * u). [para(7923(a,1),18886(a,1,2)),flip(a)]. given #16285 (H,wt=21): 18888 (x * y) / (K(T(z,x),u) * y) = y \ ((y * K(u,z)) * x). [hyper(62,a,18879,a(flip),b,18887,a),flip(a)]. given #16286 (H,wt=21): 18890 (x * y) / (K(z,T(u,x)) * y) = y \ ((y * K(u,z)) * x). [para(7777(a,1),18888(a,1,2,1))]. given #16287 (H,wt=29): 18891 ((K(x,y) * z) * u) / (K(w,T(v5,z)) * u) = u \ ((u * K(v5,w)) * (K(x,y) * z)). [para(15744(a,1),18888(a,1,2,1))]. given #16288 (H,wt=36): 18889 (K(x,L(y,z * (K(u,w) * v5),v5)) * (z * (K(u,w) * v5))) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). [para(18887(a,1),18196(a,2,2))]. given #16289 (H,wt=39): 18845 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,y * ((u \ 1) * z))) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(8077(a,1),18562(a,1,2))]. given #16290 (H,wt=37): 18892 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,(u \ 1) * z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(8671(a,1),18845(a,1,2))]. given #16291 (H,wt=35): 18893 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,u \ z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(13501(a,1),18892(a,1,2,2))]. given #16292 (H,wt=39): 18868 (K(x,y) * z) \ ((z * u) * R((z * u) \ (K(x,y) * z),w,w \ 1)) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(18866(a,1),7000(a,2,3))]. given #16293 (H,wt=39): 18894 (K(x,y) * z) \ (z * (u * R(u \ (z \ (K(x,y) * z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(891(a,1),18868(a,1,2))]. given #16294 (H,wt=37): 18895 (K(x,y) * z) \ (z * (u * R(u \ T(K(x,y),z),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(22(a,2),18894(a,1,2,2,2,1,2))]. given #16295 (H,wt=37): 18896 (K(x,y) * z) \ (z * (u * R(u \ K(x,T(y,z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(7723(a,2),18895(a,1,2,2,2,1,2))]. given #16296 (H,wt=40): 18488 K(x,K(y,z \ u)) * K(x,y * ((z \ (u * K(w,v5))) \ 1)) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). [para(18487(a,1),16140(a,1,2,2,2))]. given #16297 (H,wt=38): 18897 K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). [para(13554(a,1),18488(a,1,2))]. given #16298 (H,wt=40): 18492 K(x,K(y,K(z,u) * w) * (((v5 \ w) * K(z,T(u,w))) * v6)) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [para(18490(a,1),17073(a,1,2,2,1))]. given #16299 (H,wt=40): 18541 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(u \ ((u \ 1) \ w),y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). [para(18538(a,1),15005(a,1,1))]. given #16300 (H,wt=34): 18898 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). [para(13550(a,1),18541(a,1,2,2))]. given #16301 (H,wt=33): 18899 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,w / L(y / z,u,u \ 1)). [hyper(286,a,18636,a(flip),b,18898,a),flip(a)]. given #16302 (H,wt=33): 18901 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,z * y)) = K(x,w / L(y / z,u,u \ 1)). [para(14984(a,1),18899(a,1,2))]. given #16303 (H,wt=41): 18617 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,((K(z,u) * (y \ (z * u))) * w) * (R(z,u,z) \ z)). [para(18579(a,1),17073(a,1,2)),flip(a)]. given #16304 (H,wt=34): 18902 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(K(z,u) * (y \ (z * u))) * w). [hyper(286,a,13987,a(flip),b,18617,a),flip(a)]. given #16305 (H,wt=34): 18904 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,K(u,z) * ((y \ (z * u)) * w)). [hyper(286,a,17048,a(flip),b,18902,a),flip(a)]. given #16306 (H,wt=32): 18905 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(y \ T(z * u,u)) * w). [hyper(286,a,17154,a(flip),b,18904,a),flip(a)]. given #16307 (H,wt=23): 18906 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ T(z * u,z)) * w). [hyper(18105,a,18905,a),flip(a)]. given #16308 (H,wt=42): 18003 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(18002(a,2),11139(a,2,2,2))]. given #16309 (H,wt=39): 18908 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(92(a,1),18003(a,2,2))]. given #16310 (H,wt=37): 18909 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(6244(a,1),18908(a,2,2,2))]. given #16311 (H,wt=35): 18910 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(8381(a,1),18909(a,2,2,2))]. given #16312 (H,wt=33): 18911 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(14996(a,1),18910(a,2,2,2))]. given #16313 (H,wt=29): 18912 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(286,a,9,a(flip),b,18911,a),flip(a)]. given #16314 (H,wt=20): 18913 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(16724,a,18912,a)]. given #16315 (H,wt=19): 18916 K(x,K(y,z \ (u \ w))) = K(x,K(y,z * (w \ u))). [para(354(a,1),18913(a,1,2,2,2)),flip(a)]. given #16316 (H,wt=19): 18917 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(16891,a,18916,a)]. given #16317 (H,wt=19): 18918 K(x,K(y,z \ (u * w))) = K(x,K(y,u * (z \ w))). [hyper(16811,a,18916,a)]. given #16318 (H,wt=19): 18919 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [hyper(286,a,15028,a,b,18916,a),flip(a)]. given #16319 (H,wt=19): 18923 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ z) * u)). [hyper(286,a,15028,a,b,18917,a),flip(a)]. given #16320 (H,wt=19): 18926 K(x,K(y,z * ((z * u) \ w))) = K(x,K(y,u \ w)). [hyper(16722,a,18918,a),flip(a)]. given #16321 (H,wt=19): 18928 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z \ w))). [hyper(62,a,18917,a(flip),b,18919,a),flip(a)]. given #16322 (H,wt=19): 18930 K(x,K(y \ (z \ u),w)) = K(x,K(w,(u \ y) * z)). [hyper(8109,a,18923,a)]. given #16323 (H,wt=19): 18931 K(x,K(y,(z / u) * w)) = K(x,K(y,z * (u \ w))). [hyper(15903,a,18928,a)]. given #16324 (H,wt=19): 18936 K(x,K(y \ (z \ u),w)) = K(x,K((u \ y) * z,w)). [hyper(286,a,8077,a,b,18930,a),flip(a)]. given #16325 (H,wt=21): 18925 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(18917(a,1),8061(a,1,2))]. given #16326 (H,wt=19): 18937 T(x,K(y,z \ (u \ w))) = T(x,K(y,u * (w \ z))). [hyper(8064,a,18925,a),flip(a)]. given #16327 (H,wt=19): 18938 T(x,K(y,(z * u) \ w)) = T(x,K(y,u * (w \ z))). [hyper(16879,a,18937,a)]. given #16328 (H,wt=19): 18939 T(x,K(y,z \ (u * w))) = T(x,K(y,w * (z \ u))). [hyper(8438,a,18938,a)]. given #16329 (H,wt=22): 18929 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,z * (w \ u))) = v5. [para(18919(a,2),15208(a,1))]. given #16330 (H,wt=22): 18940 K(x,K(y,z \ (u * w))) != v5 | K(x,K(y,u * (z \ w))) = v5. [para(16746(a,1),18929(a,1))]. given #16331 (H,wt=22): 18941 K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,u * (z \ w))) = v5. [para(18923(a,1),18929(a,1))]. given #16332 (H,wt=22): 18942 K(x,K(y \ (z * u),w)) != v5 | K(x,K(w,z * (y \ u))) = v5. [para(8077(a,1),18940(a,1))]. given #16333 (H,wt=22): 18943 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (w \ u))) = v5. [para(14984(a,1),18940(a,1))]. given #16334 (H,wt=23): 18932 K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,(u \ z) * w)). [hyper(286,a,8082,a,b,18928,a)]. given #16335 (H,wt=19): 18944 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z \ w))). [hyper(33,a,8082,a,b,18932,a)]. given #16336 (H,wt=23): 18933 K(x,K(y,(z * u) * (w \ v5))) = K(x,K(y,v5 * (w \ (u * z)))). [hyper(62,a,15896,a(flip),b,18928,a),flip(a)]. given #16337 (H,wt=23): 18945 K(x,T(y,(z \ K(u,w)) * (v5 \ v6))) = K(x,T(y,(v6 \ z) * v5)). [hyper(62,a,18468,a(flip),b,18944,a),flip(a)]. given #16338 (H,wt=23): 18946 T(x * K(y,T(x,z * (u \ w))),y) = T(x,K(y,(u \ z) * w)). [para(18944(a,1),8335(a,1,1,2))]. given #16339 (H,wt=19): 18949 T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z \ w))). [hyper(8470,a,18946,a),flip(a)]. given #16340 (H,wt=22): 18950 T(x,K(y,(z \ u) * w)) != v5 | T(x,K(y,u * (z \ w))) = v5. [para(18946(a,1),8470(a,1))]. given #16341 (H,wt=23): 18947 K(x,K(y,(z * u) * (z \ (w * v5)))) = K(x,K(y,(v5 * w) * u)). [para(9(a,1),18933(a,1,2,2,2)),flip(a)]. given #16342 (H,wt=23): 18948 K(x,T(y,K(z,u) * (w \ (v5 \ v6)))) = K(x,T(y,(v6 \ w) * v5)). [hyper(62,a,18944,a(flip),b,18945,a)]. given #16343 (H,wt=19): 18952 K(x,T(y,z \ (u \ w))) = K(x,T(y,(w \ z) * u)). [hyper(15738,a,18948,a)]. given #16344 (H,wt=19): 18953 K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). [hyper(286,a,18944,a(flip),b,18952,a),flip(a)]. given #16345 (H,wt=19): 18954 K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). [hyper(62,a,18251,a(flip),b,18953,a)]. given #16346 (H,wt=24): 18934 K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,u * ((u * z) \ w))). [para(195(a,2),18928(a,1,2,2,1))]. given #16347 (H,wt=20): 18955 K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,z \ w)). [hyper(286,a,18926,a(flip),b,18934,a),flip(a)]. given #16348 (H,wt=24): 18957 K(x,K(y,L(z \ 1,z,u) * (w \ v5))) = K(x,K(y,z * (v5 \ w))). [hyper(286,a,18916,a(flip),b,18955,a),flip(a)]. given #16349 (H,wt=25): 18924 K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 \ (w \ (z \ u)))). [hyper(62,a,16880,a(flip),b,18917,a),flip(a)]. given #16350 (H,wt=25): 18958 K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 * ((z \ u) \ w))). [hyper(286,a,18916,a(flip),b,18924,a),flip(a)]. given #16351 (H,wt=23): 18959 K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,u * (w \ (v5 * z)))). [para(107(a,1),18958(a,1,2,2,2,2,1)),flip(a)]. given #16352 (H,wt=26): 18920 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z \ (u \ (w \ v5)))). [hyper(62,a,17624,a(flip),b,18916,a),flip(a)]. given #16353 (H,wt=26): 18960 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * ((w \ v5) \ u))). [hyper(286,a,18916,a(flip),b,18920,a),flip(a)]. given #16354 (H,wt=29): 18922 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (w \ u))) = K(x,(z \ (u \ w)) * y). [para(18916(a,1),12192(a,1,2))]. given #16355 (H,wt=29): 18935 K(x,y / ((z \ u) * w)) * K(x,K(y,u * (z \ w))) = K(x,((z \ u) * w) \ y). [para(18928(a,1),8730(a,1,2))]. given #16356 (H,wt=29): 18951 (x \ T(y * x,K(z,u * (w \ v5)))) \ T(y,x) = K(K(z,(w \ u) * v5),y * x). [para(18949(a,1),13599(a,1,1,2))]. given #16357 (H,wt=23): 18961 K(K(x,(y \ z) * u),w * v5) = K(K(x,z * (y \ u)),w * v5). [hyper(62,a,13599,a(flip),b,18951,a),flip(a)]. given #16358 (H,wt=23): 18962 K(K(x,(y \ z) * u),w * v5) = K(x,K(z * (y \ u),w * v5)). [hyper(286,a,8032,a(flip),b,18961,a),flip(a)]. given #16359 (H,wt=23): 18963 K(x,K((y \ z) * u,w * v5)) = K(x,K(z * (y \ u),w * v5)). [hyper(8240,a,18962,a)]. given #16360 (H,wt=23): 18964 K(x,K(y \ (z \ u),w * v5)) = K(x,K(y * (u \ z),w * v5)). [hyper(62,a,18936,a,b,18963,a)]. given #16361 (H,wt=23): 18966 K(x,K(y \ (z * u),w * v5)) = K(x,K(u * (y \ z),v5 * w)). [hyper(62,a,16787,a(flip),b,18964,a)]. given #16362 (H,wt=23): 18967 K(x,K(y * (z \ u),w * v5)) = K(x,K(v5 * w,u * (z \ y))). [hyper(18942,a,18966,a),flip(a)]. given #16363 (H,wt=26): 18968 K(x,K(y * (z \ u),w * v5)) != v6 | K(x,K(v5 * w,u * (z \ y))) = v6. [para(18966(a,1),18942(a,1))]. given #16364 (H,wt=30): 18965 K(x,K(y * ((z \ a(u,w,K(v5,v6))) \ v7),v8 * v9)) = K(x,K(z * (v7 * y),v8 * v9)). [hyper(62,a,17819,a(flip),b,18964,a),flip(a)]. given #16365 (H,wt=25): 18969 K(x,K(y * ((z \ 1) \ u),w * v5)) = K(x,K(z * (u * y),w * v5)). [para(422(a,1),18965(a,1,2,1,2,1,2))]. given #16366 (H,wt=23): 18970 K(x,K((y * z) * u,w * v5)) = K(x,K(z * (u * y),w * v5)). [hyper(18558,a,18969,a)]. given #16367 (H,wt=23): 18972 K(x,K(y * (z * u),w * v5)) = K(x,K(w * v5,z * (y * u))). [hyper(15941,a,18970,a),flip(a)]. given #16368 (H,wt=27): 18971 K(x,K(y * ((z \ u) * w),v5 * v6)) = K(x,K(v6 * v5,u * (z \ (w * y)))). [hyper(18968,a,18970,a),flip(a)]. given #16369 (H,wt=27): 18975 K(x,K(y * ((z * u) * w),v5 * v6)) = K(x,K(v5 * v6,z * ((w * y) * u))). [hyper(62,a,18970,a(flip),b,18972,a)]. given #16370 (H,wt=30): 18973 K(x,K((y * z) * (u * (y \ 1)),w * v5)) = K(x,K(z * R(u,y \ 1,y),w * v5)). [para(4912(a,1),18970(a,2,2,1,2))]. given #16371 (H,wt=28): 18976 K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * (u \ (u * y)),w * v5)). [hyper(62,a,16852,a(flip),b,18973,a),flip(a)]. given #16372 (H,wt=24): 18977 K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). [para(9(a,1),18976(a,2,2,1,2))]. given #16373 (H,wt=30): 18974 K(x,K(y * ((z \ u) * w),v5 * v6)) != v7 | K(x,K(v6 * v5,u * (z \ (w * y)))) = v7. [para(18970(a,1),18968(a,1))]. given #16374 (H,wt=32): 18927 K(x,K(y,(z \ L(u \ 1,u,z * (w \ v5))) * (v5 \ w))) = K(x,K(y,u * (z * (w \ v5)))). [hyper(62,a,17816,a(flip),b,18918,a),flip(a)]. given #16375 (H,wt=32): 18978 K(x,K(y,L(z \ 1,z,u * (w \ v5)) * (u \ (v5 \ w)))) = K(x,K(y,z * (u * (w \ v5)))). [hyper(18941,a,18927,a)]. given #16376 (H,wt=23): 18979 K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,z * (v5 * (w \ u)))). [hyper(62,a,18957,a(flip),b,18978,a)]. given #16377 (H,wt=23): 18983 K(x,K(y,z * (u \ (w * v5)))) = K(x,K(y,v5 * (w * (u \ z)))). [hyper(62,a,18959,a(flip),b,18979,a)]. given #16378 (H,wt=23): 18984 K(x,K(y,z * (u * (w \ (w * v5))))) = K(x,K(y,(z * u) * v5)). [hyper(62,a,18947,a(flip),b,18983,a),flip(a)]. given #16379 (H,wt=19): 18986 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(9(a,1),18984(a,1,2,2,2,2)),flip(a)]. given #16380 (H,wt=19): 18987 K(x,K(y,z * (u \ w))) = K(x,K(y,z * (w * u))). [hyper(18943,a,18986,a)]. given #16381 (H,wt=23): 18989 K(x,y) * K(x,K(y,z * (u * w))) = K(x,T(y,(z * u) * w)). [para(18986(a,1),8043(a,1,2))]. given #16382 (H,wt=19): 18992 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [hyper(8269,a,18989,a),flip(a)]. given #16383 (H,wt=22): 18993 K(x,T(y,(z * u) * w)) != v5 | K(x,T(y,z * (u * w))) = v5. [para(18989(a,1),8269(a,1))]. given #16384 (H,wt=22): 18994 K(x,T(y,L(z \ u,z,w))) = K(x,T(y,w * (u * (w * z)))). [hyper(62,a,14960,a,b,18992,a)]. given #16385 (H,wt=19): 18996 K(x,T(y,z * (u * (z * w)))) = K(x,T(y,w \ u)). [hyper(62,a,16717,a(flip),b,18994,a),flip(a)]. given #16386 (H,wt=19): 18998 K(x,T(y,z * (u * (z * w)))) = K(x,T(y,u * w)). [hyper(286,a,14952,a(flip),b,18996,a),flip(a)]. given #16387 (H,wt=22): 18999 K(x,T(y,z * (u * (z * w)))) != v5 | K(x,T(y,u * w)) = v5. [para(18996(a,2),14964(a,1))]. given #16388 (H,wt=25): 18988 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,(u \ v5) * (v6 * z))). [hyper(62,a,15882,a,b,18986,a)]. given #16389 (H,wt=25): 19000 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,v5 * (u \ (v6 * z)))). [hyper(286,a,18928,a(flip),b,18988,a),flip(a)]. given #16390 (H,wt=26): 18981 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * (u * (v5 \ w)))). [hyper(62,a,18960,a,b,18979,a)]. given #16391 (H,wt=26): 19002 K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (v5 \ w)))). [hyper(62,a,18987,a(flip),b,18981,a)]. given #16392 (H,wt=28): 19001 K(x,K(y,z * ((T(u,w) \ v5) * v6))) != v7 | K(x,K(y,v5 * (u \ (v6 * z)))) = v7. [para(18988(a,2),18941(a,1))]. given #16393 (H,wt=29): 18990 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(z \ (u \ w)) * y). [para(18987(a,1),18922(a,1,2))]. given #16394 (H,wt=29): 18991 K(x,y / ((z \ u) * w)) * K(x,K(y,u * (w * z))) = K(x,((z \ u) * w) \ y). [para(18987(a,1),18935(a,1,2))]. given #16395 (H,wt=31): 18980 K(x,K((y \ z) \ u,w * (v5 * (v6 \ v7)))) = K(x,K(z \ (y * u),w * ((v7 \ v6) \ v5))). [hyper(286,a,16600,a,b,18979,a)]. given #16396 (H,wt=31): 19004 K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * ((u \ w) \ v5))). [hyper(286,a,8695,a(flip),b,18980,a),flip(a)]. given #16397 (H,wt=31): 19005 K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * (v5 * (w \ u)))). [hyper(286,a,18979,a(flip),b,19004,a),flip(a)]. given #16398 (H,wt=31): 19006 K(x,K(y * (z * (u \ w)),(y \ v5) \ ((w \ u) \ z))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(8109,a,19005,a)]. given #16399 (H,wt=31): 19007 K(x,K(y * (z * (u \ w)),(y \ v5) * (z \ (w \ u)))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(18929,a,19006,a)]. given #16400 (H,wt=31): 19008 K(x,K(y * (z * (u \ w)),v5 * (y \ (z \ (w \ u))))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(18941,a,19007,a)]. given #16401 (H,wt=35): 18985 K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (w / L(T(u,z),v5,u))))). [para(8554(a,1),18983(a,1,2,2,2,2)),flip(a)]. given #16402 (H,wt=35): 19009 K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (L(T(u,z),v5,u) \ w)))). [hyper(286,a,18253,a,b,18985,a),flip(a)]. given #16403 (H,wt=32): 19010 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,K(v5,w) * ((v7 / w) * (u \ z)))). [para(13147(a,1),19009(a,1,2)),flip(a)]. given #16404 (H,wt=30): 19012 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,(v7 / T(w,v5)) * (u \ z))). [para(17099(a,1),19010(a,2,2))]. given #16405 (H,wt=30): 19013 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (T(w,v5) \ (u \ z)))). [hyper(286,a,18931,a(flip),b,19012,a),flip(a)]. given #16406 (H,wt=28): 19014 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (w \ (u \ z)))). [hyper(286,a,15806,a(flip),b,19013,a),flip(a)]. given #16407 (H,wt=28): 19016 K(x,K(y,z * ((L(T(u,w),v5,u) \ v6) * v7))) = K(x,K(y,v6 * (u \ (v7 \ z)))). [hyper(62,a,18987,a(flip),b,19014,a)]. given #16408 (H,wt=25): 19017 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,v5 * (u \ (v6 \ z)))). [para(338(a,1),19016(a,1,2,2,2,1,1))]. given #16409 (H,wt=23): 19018 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * (u \ (w * v5)))). [hyper(19001,a,19017,a),flip(a)]. given #16410 (H,wt=23): 19019 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * ((w * v5) * u))). [hyper(286,a,18987,a(flip),b,19018,a),flip(a)]. given #16411 (H,wt=23): 19021 K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * ((u * w) * v5))). [hyper(62,a,18987,a(flip),b,19019,a)]. given #16412 (H,wt=31): 19020 K(x,K(y * (z * (u \ w)),v5 * ((z * (w \ u)) * y))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(62,a,19008,a(flip),b,19019,a),flip(a)]. given #16413 (H,wt=42): 18406 (x * (L(y \ 1,z,K(u,w)) * L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). [para(18404(a,1),81(a,1,2))]. given #16414 (H,wt=42): 18559 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(L(x,y,z),w)),v6). [para(18552(a,1),17171(a,1,1,1)),flip(a)]. given #16415 (H,wt=42): 19022 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(x,L(w,y,z))),v6). [para(11780(a,1),18559(a,2,1,2,2))]. given #16416 (H,wt=39): 19023 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(w,x)),v6). [hyper(286,a,17799,a(flip),b,19022,a),flip(a)]. given #16417 (H,wt=39): 19025 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). [hyper(286,a,17535,a(flip),b,19023,a),flip(a)]. given #16418 (H,wt=39): 19026 K(L(x,y,z) * (T(L(T(x,(u * z) * y),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). [para(25(a,2),19025(a,1,1,2,1,1))]. given #16419 (H,wt=33): 19027 K(x * (T(T(x,y),z * ((u \ 1) \ w)) \ v5),v6) = K(x * (T(T(x,y),(z * u) * w) \ v5),v6). [hyper(62,a,17813,a(flip),b,19026,a),flip(a)]. given #16420 (H,wt=35): 19029 K(x * (T(T(x,K(y,z * u)),((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [hyper(62,a,17958,a(flip),b,19027,a),flip(a)]. given #16421 (H,wt=29): 19030 K(x * (T(x,((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [hyper(62,a,15473,a(flip),b,19029,a)]. given #16422 (H,wt=27): 19032 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(4643(a,1),19030(a,1,1))]. given #16423 (H,wt=43): 16914 (x * (K(y,T(z,u)) * w)) \ (K(y,K(z,u)) * ((x * K(y,z)) * w)) = L(a(x,K(y,z),w),x * (K(y,z) * w),K(y,K(z,u))). [para(16792(a,1),448(a,1,1))]. given #16424 (H,wt=39): 19033 L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = (x * (K(y,T(z,w)) * u)) \ ((x * K(y,T(z,w))) * u). [para(16760(a,1),16914(a,1,2)),flip(a)]. given #16425 (H,wt=28): 19034 L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = a(x,K(y,T(z,w)),u). [hyper(286,a,14,a,b,19033,a),flip(a)]. given #16426 (H,wt=15): 19035 a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). [hyper(16646,a,19034,a),flip(a)]. given #16427 (H,wt=18): 19036 a(x,K(y,T(z,u)),w) != v5 | a(x,K(y,z),w) = v5. [para(19034(a,1),16646(a,1))]. given #16428 (H,wt=22): 19038 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). [hyper(62,a,17211,a,b,19035,a)]. given #16429 (H,wt=24): 19039 (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,u),y). [hyper(62,a,8204,a,b,19035,a)]. given #16430 (H,wt=33): 19041 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = L(a(x,K(y,z),u),x,K(u * K(y,z),w)). [para(19038(a,1),18168(a,1,1)),flip(a)]. given #16431 (H,wt=24): 19043 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),u). [hyper(286,a,18110,a(flip),b,19041,a),flip(a)]. given #16432 (H,wt=43): 17438 ((T(x,y) \ K(z,u)) * w) \ (K(y,x) * ((x \ K(z,u)) * (w * v5))) = L(L(v5,w,x \ K(z,u)),(x \ K(z,u)) * w,K(y,x)). [para(17356(a,1),430(a,1,1))]. given #16433 (H,wt=41): 19045 L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) = ((T(z,v5) \ K(u,w)) * y) \ ((T(z,v5) \ K(u,w)) * (y * x)). [para(17356(a,1),17438(a,1,2)),flip(a)]. given #16434 (H,wt=33): 19046 L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) != v6 | L(x,y,T(z,v5) \ K(u,w)) = v6. [para(19045(a,2),439(a,1))]. given #16435 (H,wt=43): 17460 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (K(x,y) * (x \ K(z,u)))). [para(17353(a,1),5991(a,2,2)),flip(a)]. given #16436 (H,wt=41): 19047 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (T(x,y) \ K(z,u))). [hyper(286,a,17107,a(flip),b,17460,a),flip(a)]. given #16437 (H,wt=41): 19048 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * T(x \ K(z,u),y)). [hyper(286,a,17105,a,b,19047,a),flip(a)]. given #16438 (H,wt=39): 19049 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(T(x,y) \ K(z,u),w * T(x \ K(z,u),y)). [hyper(286,a,16030,a(flip),b,19048,a),flip(a)]. given #16439 (H,wt=39): 19050 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(w * T(x \ K(z,u),y),y)). [hyper(286,a,16204,a(flip),b,19049,a),flip(a)]. given #16440 (H,wt=37): 19051 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T((x \ K(z,u)) * w,y)). [hyper(286,a,17765,a(flip),b,19050,a),flip(a)]. given #16441 (H,wt=37): 19052 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(K(u,z) * (x \ w),y)). [hyper(286,a,17759,a(flip),b,19051,a),flip(a)]. given #16442 (H,wt=37): 19053 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T((x \ w) \ K(z,u),y)). [hyper(286,a,13935,a(flip),b,19052,a),flip(a)]. given #16443 (H,wt=37): 19054 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T(K(u,z) * (w \ x),y)). [hyper(286,a,18470,a(flip),b,19053,a),flip(a)]. given #16444 (H,wt=33): 19055 L(x,y,K(K(z,u) * w,T(K(z,u) * (v5 \ w),v6))) = L(x,y,K(K(w,v6) * (w \ K(u,z)),v5)). [para(19054(a,1),17461(a,1,3))]. given #16445 (H,wt=31): 19056 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(K(v5,w) * z,K(v5,w) * (v6 \ z))). [hyper(62,a,16689,a(flip),b,19055,a),flip(a)]. given #16446 (H,wt=43): 18280 K(x,L(T(y \ z,u \ ((u \ 1) \ z)),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). [para(18278(a,1),12223(a,1,2,3))]. given #16447 (H,wt=37): 19058 K(x,L(T(y \ z,z),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). [para(13684(a,1),18280(a,1,2,1))]. given #16448 (H,wt=29): 19059 K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,T(u \ z,z)). [hyper(62,a,14518,a(flip),b,19058,a),flip(a)]. given #16449 (H,wt=27): 19062 K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,z / u). [hyper(286,a,8159,a(flip),b,19059,a),flip(a)]. given #16450 (H,wt=24): 19063 K(x,(y \ ((y \ 1) \ z)) / (a(y \ 1,y,z) * u)) = K(x,z / u). [para(18281(a,1),19062(a,1,2,2,1))]. given #16451 (H,wt=43): 18387 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = (L(x,y,K(z,u)) \ 1) * L(T(x,x \ 1),w,v5). [para(18177(a,1),1820(a,1,2,1)),flip(a)]. given #16452 (H,wt=43): 18776 K(x,y / (z / (T(u * K(w,v5 \ 1),w \ 1) * T(w \ 1,v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(8598(a,1),18774(a,1,2,2,2,1))]. given #16453 (H,wt=43): 19064 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(T(x,x \ 1),w,v5). [para(18141(a,2),18387(a,2,1))]. given #16454 (H,wt=39): 19065 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(4883(a,1),19064(a,2,2,1))]. given #16455 (H,wt=37): 19066 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * a(u,y,K(z,x)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(8(a,1),19065(a,1,2,1,2))]. given #16456 (H,wt=37): 19067 L(x,y,K(z,u)) \ L(L(a(u,y,K(z,x)) * x,y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(18495(a,2),19066(a,1,2,1))]. given #16457 (H,wt=35): 19068 L(x,y,K(z,u)) \ L(L(L(x,y,K(u,z)),y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(18127(a,1),19067(a,1,2,1,1))]. given #16458 (H,wt=44): 16909 K(x,(K(y,K(z,u)) * (T(w,K(y,z)) * v5)) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(16759(a,1),14471(a,1,2,1))]. given #16459 (H,wt=44): 18409 L(x,K(y,z) * u,K(w,v5)) * ((K(y,z) * u) * T(K(w,v5),K(z,y) * u)) = (x * (K(y,z) * u)) * K(w,T(v5,K(y,z) * u)). [para(14716(a,2),18407(a,1,2))]. given #16460 (H,wt=44): 19069 K(x,K(y,K(z,u)) * ((T(w,K(y,z)) * v5) / (K(y,T(z,u)) * v5))) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(16647(a,1),16909(a,1,2))]. given #16461 (H,wt=36): 19070 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) / (K(u,z) * v5)). [para(18094(a,1),19069(a,1,2)),flip(a)]. given #16462 (H,wt=36): 19071 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) * (v5 \ K(z,u))). [hyper(286,a,13631,a(flip),b,19070,a),flip(a)]. given #16463 (H,wt=36): 19073 K(x,T((y * z) * (z \ K(u,w)),K(w,u))) = K(x,L(T(y * K(u,w),K(w,T(u,v5))),K(w,T(u,v5)),z)). [para(16172(a,2),19071(a,2,2)),flip(a)]. given #16464 (H,wt=32): 19074 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). [hyper(15082,a,19073,a),flip(a)]. given #16465 (H,wt=30): 19076 K(x,L(T(y * K(z,u),K(u,z)),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). [para(15125(a,1),19074(a,1,2,1))]. given #16466 (H,wt=26): 19077 K(x,L(K(y,z) * u,K(z,T(y,w)),v5)) = K(x,(u * v5) * (v5 \ K(y,z))). [para(6894(a,1),19076(a,1,2,1))]. given #16467 (H,wt=19): 19079 K(x,(y * z) * (z \ K(u,w))) = K(x,K(u,w) * y). [hyper(17373,a,19077,a),flip(a)]. given #16468 (H,wt=19): 19082 K(x,y * ((z \ y) \ K(u,w))) = K(x,K(u,w) * z). [para(10(a,1),19079(a,1,2,1))]. given #16469 (H,wt=22): 19080 K(x,(y * z) * (z \ K(u,w))) != v5 | K(x,K(u,w) * y) = v5. [para(19077(a,1),17373(a,1))]. given #16470 (H,wt=22): 19083 K(x,y * ((z \ y) \ K(u,w))) != v5 | K(x,K(u,w) * z) = v5. [para(10(a,1),19080(a,1,2,1))]. given #16471 (H,wt=45): 16889 ((x * y) * K(z,u)) \ (K(z,T(u,x * y)) * ((x * K(w,v5)) * (K(v5,w) * y))) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). [para(5869(a,1),16702(a,2,1))]. given #16472 (H,wt=45): 18707 K(x,(y \ (T(z,z * T((u \ w) \ w,z)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(7779(a,2),18706(a,2,2,1,2))]. given #16473 (H,wt=43): 19084 K(x,(y \ (T(z,z * ((u \ w) \ w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(8760(a,1),18707(a,1,2,1,2,1))]. given #16474 (H,wt=41): 19085 K(x,(y \ (T(z,z * T(u,w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(13115(a,1),19084(a,1,2,1,2,1))]. given #16475 (H,wt=41): 19086 K(x,(y \ (K(z,z * T(u,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(5717(a,2),19085(a,1,2,1,2))]. given #16476 (H,wt=46): 18202 K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),(y * z) \ 1)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [para(14060(a,1),18189(a,1,2,1,1))]. given #16477 (H,wt=46): 18261 K((x * (y \ z)) * T(K(u,z),y \ z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(18258(a,2),14653(a,1,2,2,2))]. given #16478 (H,wt=42): 19088 K((x * (y \ z)) * K(u,z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(15365(a,1),18261(a,1,1))]. given #16479 (H,wt=42): 19090 K(x * ((y \ z) * K(z,u)),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(17838(a,1),19088(a,1,1))]. given #16480 (H,wt=40): 19091 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,(z * K(y,x)) \ y)). [para(13515(a,1),19090(a,1,1,1,2)),flip(a)]. given #16481 (H,wt=40): 19092 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,K(x,y) * (z \ y))). [para(18258(a,1),19091(a,2,2,2,2))]. given #16482 (H,wt=38): 19093 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,z \ T(y,x))). [para(15259(a,1),19092(a,2,2,2))]. given #16483 (H,wt=28): 19094 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K((z \ T(y,x)) * u,w). [hyper(286,a,15893,a(flip),b,19093,a),flip(a)]. given #16484 (H,wt=21): 19096 K(K(x,y) * ((z \ y) * u),w) = K((z \ T(y,x)) * u,w). [para(18087(a,1),19094(a,1,1))]. given #16485 (H,wt=25): 19097 K(K((x \ T(y,z)) * u,w) * v5,v6) = K(K(w,(x \ y) * u) * v5,v6). [para(19096(a,1),16051(a,1,1,1))]. given #16486 (H,wt=25): 19098 K(x * K((y \ T(z,u)) * w,v5),v6) = K(K(v5,(y \ z) * w) * x,v6). [hyper(15093,a,19097,a)]. given #16487 (H,wt=28): 19099 K(K(x,(y \ z) * u) * w,v5) != v6 | K(w * K((y \ T(z,v7)) * u,x),v5) = v6. [para(19097(a,1),15093(a,1))]. given #16488 (H,wt=46): 19087 K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),z \ (y \ 1))) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [hyper(62,a,14339,a(flip),b,18202,a)]. given #16489 (H,wt=30): 19100 K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,((y \ 1) \ z) \ u). [hyper(62,a,18512,a(flip),b,19087,a),flip(a)]. given #16490 (H,wt=30): 19102 K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,((z \ 1) / y) * u). [hyper(286,a,13557,a(flip),b,19100,a),flip(a)]. given #16491 (H,wt=33): 19103 K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) != w | K(x,((z \ 1) / y) * u) = w. [para(19100(a,2),13753(a,1))]. given #16492 (H,wt=48): 19003 K(x,y / ((((z \ 1) * u) \ w) * a(v5,v6,v5))) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). [para(13016(a,1),18991(a,1,2,2,2,2))]. given #16493 (H,wt=43): 19104 K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). [para(13091(a,1),19003(a,1,1))]. given #16494 (H,wt=40): 19106 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * ((y \ 1) * z))). [para(13118(a,1),19104(a,1,2,2)),flip(a)]. given #16495 (H,wt=49): 14711 x \ T(y * T(x,K(z,u / (w * ((v5 \ 1) * v6)))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). [para(13617(a,1),14707(a,1,2,1,2,2))]. given #16496 (H,wt=49): 16734 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(286,a,6574,a(flip),b,16688,a),flip(a)]. given #16497 (H,wt=46): 19109 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11778(a,1),16734(a,1,3))]. given #16498 (H,wt=44): 19110 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(62,a,16689,a(flip),b,19109,a)]. given #16499 (H,wt=44): 19112 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11780(a,1),19110(a,1,3))]. given #16500 (H,wt=49): 17454 K(K(K(x * ((y \ 1) \ z),u),w) * (v5 \ K(((y \ 1) \ z) * x,u)),v6) = K(v5 \ (K(u,K(x,y * z)) * T(K(x * ((y \ 1) \ z),u),w)),v6). [para(15249(a,1),17446(a,1,1,2,2))]. given #16501 (H,wt=49): 17715 K(x * ((y * (z * a(u,w,K(v5,v6)))) * K(v7,L(v8,y,z * a(u,w,K(v5,v6))))),v9) = K(x * (z * (T(y,z * a(u,w,K(v5,v6))) * K(v7,v8))),v9). [para(11772(a,2),17712(a,1,1,2))]. given #16502 (H,wt=39): 19115 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * ((z * (y * a(u,w,K(v5,v6)))) * K(v8,v7)),v9). [hyper(62,a,17799,a(flip),b,17715,a),flip(a)]. given #16503 (H,wt=39): 19117 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * ((y * a(u,w,K(v5,v6))) * K(v8,v7))),v9). [hyper(286,a,17270,a(flip),b,19115,a),flip(a)]. given #16504 (H,wt=39): 19118 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * (y * (K(v8,v7) * a(u,w,K(v5,v6))))),v9). [para(17467(a,1),19117(a,2,1,2,2))]. given #16505 (H,wt=32): 19119 K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * (z * (y * (K(w,u) * a(v6,v7,K(v8,v9))))),v5). [para(17251(a,1),19118(a,1,1,2,2,1))]. given #16506 (H,wt=30): 19120 K(x * (y * (z * (K(u,w) * a(v5,v6,K(v7,v8))))),v9) = K(x * ((K(w,u) * y) * z),v9). [hyper(62,a,16945,a(flip),b,19119,a),flip(a)]. given #16507 (H,wt=23): 19122 K(x * ((K(y,z) * u) * w),v5) = K(x * (u * (w * K(z,y))),v5). [hyper(17292,a,19120,a),flip(a)]. given #16508 (H,wt=21): 19124 K(x * (y * (z * K(u,y))),w) = K(x * (T(y,u) * z),w). [para(4667(a,2),19122(a,1,1,2,1)),flip(a)]. given #16509 (H,wt=21): 19127 K(x * (y * (K(z,y) * u)),w) = K(x * (T(y,z) * u),w). [hyper(62,a,15437,a,b,19124,a)]. given #16510 (H,wt=21): 19128 K(x * (T(y \ z,y) * u),w) = K(x * ((z / y) * u),w). [para(6042(a,1),19127(a,1,1,2)),flip(a)]. given #16511 (H,wt=23): 19123 K(x * ((y * K(z,u)) * w),v5) = K(x * (y * (w * K(u,z))),v5). [hyper(62,a,15448,a(flip),b,19122,a)]. given #16512 (H,wt=21): 19132 K(x * (y * (z * K(u,z))),w) = K(x * (y * T(z,u)),w). [para(6864(a,1),19123(a,1,1,2)),flip(a)]. given #16513 (H,wt=25): 19125 K(x * ((y * z) * (u * K(w,y))),v5) = K(x * ((T(y,w) * z) * u),v5). [para(4675(a,1),19122(a,1,1,2,1)),flip(a)]. given #16514 (H,wt=25): 19129 K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z \ 1) * u),w). [para(6458(a,1),19127(a,1,1,2,2,1))]. given #16515 (H,wt=27): 19131 K(x * ((y * (z * K(u,w))) * v5),v6) = K(x * ((y * z) * (v5 * K(w,u))),v6). [hyper(62,a,17714,a(flip),b,19123,a)]. given #16516 (H,wt=27): 19133 (x * K(y * (z * (u * K(w,v5))),v6)) \ x = K(v6,y * ((z * K(v5,w)) * u)). [para(19123(a,1),6895(a,1,1,2))]. given #16517 (H,wt=23): 19138 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(w,u)))). [hyper(15158,a,19133,a),flip(a)]. given #16518 (H,wt=21): 19139 K(x,y * (z * (u * K(w,u)))) = K(x,y * (z * T(u,w))). [para(6864(a,1),19138(a,1,2,2)),flip(a)]. given #16519 (H,wt=21): 19140 K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). [para(4636(a,2),19139(a,1,2,2,2))]. given #16520 (H,wt=27): 19137 K(K(x,y) * ((y * x) * (z * K(u,w))),v5) = K(((x * K(w,u)) * y) * z,v5). [hyper(62,a,16068,a(flip),b,19131,a),flip(a)]. given #16521 (H,wt=23): 19141 K(((x * K(y,z)) * u) * w,v5) = K((x * u) * (w * K(z,y)),v5). [para(11376(a,1),19137(a,1,1)),flip(a)]. given #16522 (H,wt=25): 19142 K((x * (y \ 1)) * (z * K(u,w)),v5) = K((y * (K(u,w) / x)) \ z,v5). [hyper(62,a,13798,a(flip),b,19141,a),flip(a)]. given #16523 (H,wt=23): 19143 K((x * (K(y,z) / u)) \ w,v5) = K((u * (x \ K(y,z))) * w,v5). [hyper(62,a,17590,a(flip),b,19142,a),flip(a)]. given #16524 (H,wt=28): 19130 K(x * ((L(y,z \ 1,z) / z) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). [para(393(a,1),19128(a,1,1,2,1,1)),flip(a)]. given #16525 (H,wt=28): 19136 K(a(x,y,x) * ((z * u) * (w * K(v5,v6))),v7) = K((z * (K(v6,v5) * u)) * w,v7). [hyper(62,a,16916,a(flip),b,19131,a),flip(a)]. given #16526 (H,wt=23): 19145 K((x * (K(y,z) * u)) * w,v5) = K((x * u) * (w * K(z,y)),v5). [hyper(17259,a,19136,a),flip(a)]. given #16527 (H,wt=23): 19147 K((x * (y * K(z,u))) * w,v5) = K((x * y) * (w * K(u,z)),v5). [hyper(17225,a,19145,a)]. given #16528 (H,wt=26): 19146 K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * u) * (w * K(z,y)),v5) = v6. [para(19136(a,1),13175(a,1))]. given #16529 (H,wt=27): 19148 (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (K(v5,w) * z)) * u). [para(19145(a,1),6895(a,1,1,2))]. given #16530 (H,wt=23): 19151 K(x,(y * (K(z,u) * w)) * v5) = K(x,(y * w) * (v5 * K(u,z))). [hyper(15158,a,19148,a),flip(a)]. given #16531 (H,wt=21): 19153 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [para(4638(a,1),19151(a,1,2,1)),flip(a)]. given #16532 (H,wt=21): 19154 K(x,(y * z) * (K(u,y) * w)) = K(x,(T(y,u) * z) * w). [hyper(15430,a,19153,a)]. given #16533 (H,wt=26): 19152 K(x,(y * (K(z,u) * w)) * v5) != v6 | K(x,(y * w) * (v5 * K(u,z))) = v6. [para(19148(a,1),6902(a,1))]. given #16534 (H,wt=27): 19149 (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (z * K(v5,w))) * u). [para(19145(a,1),16917(a,1,1,2))]. given #16535 (H,wt=23): 19155 K(x,(y * (z * K(u,w))) * v5) = K(x,(y * z) * (v5 * K(w,u))). [hyper(15158,a,19149,a),flip(a)]. given #16536 (H,wt=25): 19157 K(x,(y * T(z,y)) * (u * K(w,v5))) = K(x,((K(v5,w) * z) * y) * u). [hyper(62,a,16946,a(flip),b,19155,a),flip(a)]. given #16537 (H,wt=23): 19161 K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(z,y))). [para(108(a,1),19157(a,1,2,1)),flip(a)]. given #16538 (H,wt=25): 19158 K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(y * (z \ K(v5,w))) * u). [para(13512(a,1),19155(a,1,2,1,2)),flip(a)]. given #16539 (H,wt=25): 19162 K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(z * (y \ K(w,v5))) \ u). [hyper(13819,a,19161,a),flip(a)]. given #16540 (H,wt=23): 19163 K(x,(y * (z \ K(u,w))) \ v5) = K(x,(z * (y \ K(w,u))) * v5). [hyper(62,a,19158,a(flip),b,19162,a),flip(a)]. given #16541 (H,wt=26): 19156 K(x,(y * (z * K(u,w))) * v5) != v6 | K(x,(y * z) * (v5 * K(w,u))) = v6. [para(19149(a,1),6902(a,1))]. given #16542 (H,wt=28): 19144 K(x * (L(y / z,z,z \ 1) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). [para(5919(a,2),19130(a,1,1,2,1))]. given #16543 (H,wt=29): 19126 K(x * (((y \ 1) * z) * (u * K(y,w))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [para(6510(a,1),19122(a,1,1,2,1)),flip(a)]. given #16544 (H,wt=29): 19135 K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * ((T(y \ 1,w) * z) * u),v5). [hyper(62,a,17746,a(flip),b,19125,a)]. given #16545 (H,wt=29): 19159 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * (v6 * K(u,w)))). [para(19155(a,1),16906(a,2,2))]. given #16546 (H,wt=25): 19167 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). [hyper(286,a,15864,a(flip),b,19159,a),flip(a)]. given #16547 (H,wt=23): 19168 T(x,K(y,z * ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). [hyper(13840,a,19167,a)]. given #16548 (H,wt=23): 19170 T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,(z * u) * v6)). [para(12179(a,1),19168(a,1,2,2,2,1))]. given #16549 (H,wt=31): 19134 K(K(x / T(y,z),u) * ((y \ x) * T(y,z)),w) = K(T(T(x / T(y,z),y),u) * y,w). [hyper(62,a,15489,a(flip),b,19132,a),flip(a)]. given #16550 (H,wt=31): 19165 K(x * L(y / z,z,z \ 1),u) = K(x * (T((z \ 1) * y,z) * a(w,v5,K(v6,v7))),u). [hyper(17262,a,19144,a)]. given #16551 (H,wt=24): 19172 K(x * L(y / z,z,z \ 1),u) = K(x * T((z \ 1) * y,z),u). [hyper(286,a,17264,a(flip),b,19165,a),flip(a)]. given #16552 (H,wt=22): 19173 K(x * L(y / z,z,z \ 1),u) = K(x * (y * (z \ 1)),u). [hyper(286,a,17650,a(flip),b,19172,a),flip(a)]. given #16553 (H,wt=22): 19174 K(x * ((y * z) * (z \ 1)),u) = K(x * L(y,z,z \ 1),u). [para(11(a,1),19173(a,1,1,2,1)),flip(a)]. given #16554 (H,wt=21): 19175 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(458(a,1),19174(a,1,1,2))]. given #16555 (H,wt=23): 19176 K((x * y) * a(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [hyper(62,a,18724,a,b,19175,a)]. given #16556 (H,wt=25): 19177 K(T(x,y) * L(y,z,z \ 1),u) = K((y * x) * a(y,z,z \ 1),u). [hyper(62,a,17631,a(flip),b,19176,a),flip(a)]. given #16557 (H,wt=23): 19179 K((x * y) * a(x,z,z \ 1),u) = K(L(x,z,z \ 1) * y,u). [hyper(13679,a,19177,a),flip(a)]. given #16558 (H,wt=23): 19180 K(L(x,y,y \ 1) * (x \ z),u) = K(z * a(x,y,y \ 1),u). [para(10(a,1),19179(a,1,1,1)),flip(a)]. given #16559 (H,wt=21): 19181 K(a(x \ 1,x,y) \ z,u) = K(z * a(y,x,x \ 1),u). [hyper(62,a,14665,a(flip),b,19180,a)]. given #16560 (H,wt=25): 19178 K(x * L(x \ y,z,z \ 1),u) = K(y * a(x \ y,z,z \ 1),u). [para(10(a,1),19176(a,1,1,1)),flip(a)]. given #16561 (H,wt=25): 19182 (x * K(y * a(z,u,u \ 1),w)) \ x = K(w,a(u \ 1,u,z) \ y). [para(19181(a,1),6895(a,1,1,2))]. given #16562 (H,wt=21): 19184 K(x,a(y \ 1,y,z) \ u) = K(x,u * a(z,y,y \ 1)). [hyper(15158,a,19182,a),flip(a)]. given #16563 (H,wt=24): 19185 K(x,a(y \ 1,y,z) \ u) != w | K(x,u * a(z,y,y \ 1)) = w. [para(19182(a,1),6902(a,1))]. given #16564 (H,wt=31): 19171 K(K(x / T(y,z),u) * T(x * K(y,z),y),w) = K(T(T(x / T(y,z),y),u) * y,w). [hyper(62,a,17648,a,b,19134,a)]. given #16565 (H,wt=31): 19186 K(K(x,y / T(z,u)) * (y * K(z,u)),T(w,z)) = K(T(T(y / T(z,u),z),x) * z,w). [hyper(62,a,17449,a(flip),b,19171,a)]. given #16566 (H,wt=31): 19187 K(x * (K(y,z) * K(u,T(y,z) \ x)),T(w,y)) = K(T(T(x / T(y,z),y),u) * y,w). [para(17441(a,1),19186(a,1,1))]. given #16567 (H,wt=29): 19188 K(K(x \ y,z) * (y * K(x,u)),T(w,x)) = K(T(T(y / T(x,u),x),z) * x,w). [hyper(62,a,17844,a(flip),b,19187,a)]. given #16568 (H,wt=29): 19190 K(x * (K(x / y,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). [para(17443(a,1),19188(a,1,1))]. given #16569 (H,wt=29): 19191 K(x * (K(y \ x,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). [hyper(16942,a,19190,a)]. given #16570 (H,wt=27): 19192 K(T(T(x / T(y,z),y),u) * y,w) = K(T(x / y,u) * T(y,z),T(w,y)). [para(17463(a,1),19191(a,1,1)),flip(a)]. given #16571 (H,wt=25): 19193 K(T(T(x / T(y,z),y),u) * y,w) = K(T(y,z) * T(x / y,u),w). [hyper(286,a,15074,a(flip),b,19192,a),flip(a)]. given #16572 (H,wt=23): 19194 K(T(x,y) * T(z / x,u),w) = K(x * T(z / T(x,y),u),w). [hyper(12136,a,19193,a),flip(a)]. given #16573 (H,wt=32): 19150 K((x * y) * ((((z \ x) * y) \ K(u,w)) * K(u,w)),v5) = K(z,L(v5,z \ x,y * K(w,u))). [hyper(17533,a,19147,a),flip(a)]. given #16574 (H,wt=24): 19195 K((x * y) / ((z \ x) * y),u) = K(z,L(u,z \ x,y * K(w,v5))). [hyper(62,a,17800,a(flip),b,19150,a)]. given #16575 (H,wt=19): 19196 K(x,L(y,x \ z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(14418,a,19195,a),flip(a)]. given #16576 (H,wt=17): 19198 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(11834,a,19196,a)]. given #16577 (H,wt=17): 19203 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(7736(a,1),19198(a,1,2,3))]. given #16578 (H,wt=19): 19199 K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). [hyper(62,a,17578,a(flip),b,19198,a)]. given #16579 (H,wt=19): 19200 K(x,L(y,z,u \ K(w,v5))) = K(x,L(y,z,u \ 1)). [hyper(62,a,14333,a(flip),b,19198,a)]. given #16580 (H,wt=21): 19205 a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). [para(19198(a,1),14184(a,1,2)),flip(a)]. given #16581 (H,wt=17): 19220 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(286,a,14184,a(flip),b,19205,a),flip(a)]. given #16582 (H,wt=17): 19221 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(16085,a,19220,a)]. given #16583 (H,wt=19): 19222 a(K(x,y) * z,u,K(w,v5)) = a(w,u,K(z,v5 \ 1)). [hyper(14287,a,19221,a)]. given #16584 (H,wt=17): 19224 a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). [hyper(286,a,14193,a(flip),b,19222,a),flip(a)]. given #16585 (H,wt=19): 19223 T(x,a(y,z,K(u,w) * v5)) = x * a(x,z,K(v5,y)). [para(19221(a,1),14206(a,1,2)),flip(a)]. given #16586 (H,wt=17): 19227 T(x,a(y,z,K(u,w) * v5)) = T(x,a(y,z,v5)). [hyper(286,a,14206,a(flip),b,19223,a),flip(a)]. given #16587 (H,wt=17): 19229 T(x,a(y,z,u * K(w,v5))) = T(x,a(y,z,u)). [hyper(16133,a,19227,a)]. given #16588 (H,wt=17): 19230 L(x,y,K(z * K(u,w),v5)) = T(x,a(v5,y,z)). [hyper(62,a,18098,a,b,19229,a)]. given #16589 (H,wt=17): 19231 L(x,y,K(z * K(u,w),v5)) = L(x,y,K(z,v5)). [hyper(286,a,18098,a,b,19230,a),flip(a)]. given #16590 (H,wt=17): 19232 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [para(7736(a,1),19231(a,1,3,1))]. given #16591 (H,wt=19): 19225 a(x * T(y,z),u,K(w,v5)) = a(x * y,u,K(w,v5)). [hyper(62,a,17939,a(flip),b,19224,a)]. given #16592 (H,wt=21): 19208 K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,u \ v6)). [hyper(62,a,17758,a(flip),b,19203,a),flip(a)]. given #16593 (H,wt=21): 19210 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,(w * u) \ v5)). [para(11413(a,1),19203(a,1,2,3))]. given #16594 (H,wt=21): 19236 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). [hyper(62,a,18046,a(flip),b,19208,a)]. given #16595 (H,wt=21): 19244 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,u \ v6)). [hyper(62,a,18067,a,b,19236,a)]. given #16596 (H,wt=23): 19226 x * (K(y,z) * a(x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). [para(19224(a,1),15348(a,1,2,2))]. given #16597 (H,wt=21): 19251 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(62,a,16763,a(flip),b,19226,a),flip(a)]. given #16598 (H,wt=21): 19253 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(18098(a,2),19251(a,2,1))]. given #16599 (H,wt=21): 19254 L(x * K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) * K(y,z). [hyper(62,a,18098,a,b,19253,a)]. given #16600 (H,wt=23): 19234 a(x,y,K(z,u * T(w,v5))) = (a(u * w,y,K(z,x)) * v6) \ v6. [para(19225(a,1),16730(a,1,1,1)),flip(a)]. given #16601 (H,wt=19): 19255 a(x,y,K(z,u * T(w,v5))) = a(x,y,K(z,u * w)). [hyper(286,a,16730,a(flip),b,19234,a),flip(a)]. given #16602 (H,wt=23): 19237 K(x,L(y,z,u \ (T(w,v5) \ v6))) = K(x,L(y,z,u \ (w \ v6))). [para(5715(a,1),19208(a,1,2,3,2)),flip(a)]. given #16603 (H,wt=23): 19238 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ 1))). [para(13655(a,1),19208(a,1,2,3,2))]. given #16604 (H,wt=23): 19247 K(x,L(y,z,(u * T(w,v5)) \ v6)) = K(x,L(y,z,(u * w) \ v6)). [para(1271(a,1),19244(a,1,2,3,1))]. given #16605 (H,wt=23): 19256 K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * w)). [hyper(62,a,18041,a,b,19255,a)]. given #16606 (H,wt=21): 19262 K(x \ L(x,y,z),T(u,w) * v5) = a(x,y,K(z,v5 * u)). [hyper(14914,a,19256,a)]. given #16607 (H,wt=19): 19264 a(x,y,K(z,T(u,w) * v5)) = a(x,y,K(z,v5 * u)). [hyper(62,a,14279,a(flip),b,19262,a)]. given #16608 (H,wt=21): 19265 T(x,a(T(y,z) * u,w,v5)) = x * a(x,w,K(v5,u * y)). [para(19264(a,1),14206(a,1,2)),flip(a)]. given #16609 (H,wt=19): 19266 T(x,a(T(y,z) * u,w,v5)) = T(x,a(u * y,w,v5)). [hyper(286,a,14206,a(flip),b,19265,a),flip(a)]. given #16610 (H,wt=21): 19267 T(x,a(T(y,z) \ u,w,v5)) = T(x,a(u * (y \ 1),w,v5)). [hyper(15634,a,19266,a)]. given #16611 (H,wt=19): 19268 T(x,a(T(y,z) \ u,w,v5)) = T(x,a(y \ u,w,v5)). [hyper(286,a,18038,a(flip),b,19267,a),flip(a)]. given #16612 (H,wt=19): 19269 L(x,y,K(z,T(u,w) \ v5)) = T(x,a(u \ v5,y,z)). [hyper(62,a,18098,a,b,19268,a)]. given #16613 (H,wt=19): 19270 L(x,y,K(z,T(u,w) \ v5)) = L(x,y,K(z,u \ v5)). [hyper(286,a,18098,a,b,19269,a),flip(a)]. given #16614 (H,wt=23): 19271 a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,w \ v5)). [para(19270(a,1),18129(a,2,2))]. given #16615 (H,wt=21): 19272 a(x,y,K(z,((u * w) / u) \ v5)) = a(x,y,K(z,w \ v5)). [hyper(286,a,18099,a(flip),b,19271,a),flip(a)]. given #16616 (H,wt=19): 19274 a(x,y,K(z,T(u,w) \ v5)) = a(x,y,K(z,u \ v5)). [para(204(a,1),19272(a,1,3,2,1)),flip(a)]. given #16617 (H,wt=19): 19275 a(x,y,K(z,u \ T(w,v5))) = a(z,y,K(x,w \ u)). [hyper(14247,a,19274,a)]. given #16618 (H,wt=24): 19249 K(x,L(y,z,(z * K(u,w)) \ v5)) * v5 = (K(x,y) * z) * (z \ v5). [para(19244(a,2),14400(a,1,1))]. given #16619 (H,wt=23): 19276 T((x / (y * K(z,u))) * y,K(z,u)) = (K(u,z) * y) * (y \ x). [hyper(62,a,17246,a(flip),b,19249,a)]. given #16620 (H,wt=23): 19278 T((x / y) * (y * K(z,u)),K(u,z)) = (K(z,u) * y) * (y \ x). [para(14548(a,1),19276(a,1,1))]. given #16621 (H,wt=23): 19279 T((K(x,y) * z) * (z \ u),K(y,x)) = (u / z) * (z * K(x,y)). [hyper(8130,a,19278,a)]. given #16622 (H,wt=23): 19280 T(x * ((K(y,z) * x) \ u),K(y,z)) = (u / x) * (x * K(z,y)). [para(18851(a,1),19279(a,1,1))]. given #16623 (H,wt=24): 19261 ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,(y * z) \ x)). [hyper(62,a,17604,a(flip),b,19247,a)]. given #16624 (H,wt=24): 19283 ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,z \ (y \ x))). [hyper(286,a,14501,a(flip),b,19261,a),flip(a)]. given #16625 (H,wt=22): 19284 K(x,L(y,z,x \ (z \ u))) = ((u / z) * (z * K(y,x))) \ u. [para(17237(a,1),19283(a,1,1)),flip(a)]. given #16626 (H,wt=19): 19285 K(x,L(y,z,x \ (z \ u))) = K(x,L(y,z,z \ u)). [hyper(286,a,11868,a(flip),b,19284,a),flip(a)]. given #16627 (H,wt=25): 19233 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,w * v5)). [hyper(62,a,17945,a,b,19232,a)]. given #16628 (H,wt=23): 19288 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,v5)). [hyper(286,a,13378,a(flip),b,19233,a),flip(a)]. given #16629 (H,wt=21): 19289 L(x,y,K(K(z,u) * w,K(z,u) * v5)) = L(x,y,K(w,v5)). [para(16104(a,1),19288(a,1,3))]. given #16630 (H,wt=23): 19290 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(z,v6 \ z)). [hyper(62,a,19056,a,b,19289,a)]. given #16631 (H,wt=21): 19293 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(v6,z)). [hyper(286,a,13396,a(flip),b,19290,a),flip(a)]. given #16632 (H,wt=17): 19294 L(x,y,K(z \ K(u,w),v5)) = L(x,y,K(v5,z)). [hyper(62,a,19232,a(flip),b,19293,a)]. given #16633 (H,wt=23): 19297 L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(y \ K(z,u),v5)). [hyper(62,a,18167,a(flip),b,19294,a),flip(a)]. given #16634 (H,wt=19): 19299 L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y)). [hyper(286,a,19294,a(flip),b,19297,a),flip(a)]. given #16635 (H,wt=24): 19295 L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z \ K(u,w),v5)). [hyper(18169,a,19294,a),flip(a)]. given #16636 (H,wt=24): 19300 L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z,v5) \ K(u,w)). [hyper(19046,a,19299,a),flip(a)]. given #16637 (H,wt=21): 19302 L(x,y,T(z \ K(u,w),v5)) = L(x,y,T(z,v5) \ K(u,w)). [hyper(62,a,19295,a(flip),b,19300,a)]. given #16638 (H,wt=23): 19303 L(x,y,T((z \ 1) \ K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [hyper(286,a,16971,a(flip),b,19302,a),flip(a)]. given #16639 (H,wt=21): 19304 L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [para(13487(a,1),19303(a,1,3,1))]. given #16640 (H,wt=25): 19258 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ K(v7,v8)))). [hyper(286,a,19238,a,b,19238,a)]. given #16641 (H,wt=26): 19211 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(19203(a,1),11753(a,1,2))]. given #16642 (H,wt=26): 19212 K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). [para(19203(a,1),14399(a,1,1))]. given #16643 (H,wt=26): 19241 K(x,L(y \ ((z * u) * w),w,(u * z) \ 1)) = K(x,((z * u) \ y) \ w). [hyper(14560,a,19210,a),flip(a)]. given #16644 (H,wt=26): 19286 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,y \ (x \ 1))). [hyper(62,a,17217,a,b,19285,a)]. given #16645 (H,wt=26): 19305 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). [hyper(286,a,18174,a(flip),b,19304,a),flip(a)]. given #16646 (H,wt=15): 19312 a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). [hyper(62,a,19043,a(flip),b,19305,a),flip(a)]. given #16647 (H,wt=27): 19281 ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). [para(19280(a,1),8128(a,1,1))]. given #16648 (H,wt=27): 19298 L(L(x,y,z \ K(u,w)),y,K(v5,z)) != v6 | L(x,y,T(z \ K(u,w),v5)) = v6. [para(19294(a,1),18169(a,1))]. given #16649 (H,wt=28): 19215 K(x,L(y \ ((z / T(u,z)) \ w),w,u \ z)) = K(x,((T(z,u) / u) * y) \ w). [hyper(62,a,18626,a(flip),b,19199,a),flip(a)]. given #16650 (H,wt=28): 19217 K(x,L(T(y \ T(z,y),u),T(y,z),y \ u)) = K(x,((u / T(y,z)) * z) / u). [hyper(62,a,11950,a(flip),b,19199,a),flip(a)]. given #16651 (H,wt=28): 19245 K(((x * K(y,z)) * u) \ w,L(v5,w,x \ 1)) = K(u \ ((x * K(y,z)) \ w),v5). [hyper(18422,a,19244,a),flip(a)]. given #16652 (H,wt=29): 19219 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). [hyper(62,a,18766,a(flip),b,19200,a),flip(a)]. given #16653 (H,wt=23): 19321 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,z \ 1)). [hyper(286,a,19244,a(flip),b,19219,a),flip(a)]. given #16654 (H,wt=19): 19325 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). [para(4669(a,1),19321(a,1,2,2))]. given #16655 (H,wt=20): 19326 K((x * y) / z,L(u,x,y \ 1)) = K(x / (z / y),u). [hyper(62,a,18567,a(flip),b,19325,a),flip(a)]. given #16656 (H,wt=24): 19328 K(L(x,y,z \ 1),(y * z) / u) = (w * K(y / (u / z),x)) \ w. [para(19326(a,1),6895(a,1,1,2)),flip(a)]. given #16657 (H,wt=20): 19329 K(L(x,y,z \ 1),(y * z) / u) = K(x,y / (u / z)). [hyper(286,a,15072,a(flip),b,19328,a),flip(a)]. given #16658 (H,wt=20): 19330 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u / z)). [hyper(11807,a,19329,a)]. given #16659 (H,wt=26): 19324 K(x,L(y,z * K(u,w),L(v5,K(u,w),z) \ 1)) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,18820,a(flip),b,19321,a)]. given #16660 (H,wt=26): 19333 K(x,L(y,z * K(u,w),L(v5 \ 1,K(u,w),z))) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,14537,a,b,19324,a)]. given #16661 (H,wt=21): 19334 K(x,L(y,z * K(u,w),v5 \ 1)) = K(x,L(y,z,v5 \ 1)). [hyper(17456,a,19333,a)]. given #16662 (H,wt=19): 19337 K(x,L(y,K(z,u) / w,v5)) = K(x,L(y,w,v5 \ 1)). [hyper(62,a,17989,a(flip),b,19334,a)]. given #16663 (H,wt=19): 19339 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,18583,a,b,19337,a)]. given #16664 (H,wt=21): 19340 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,(v5 \ 1) \ 1)). [hyper(14462,a,19339,a)]. given #16665 (H,wt=17): 19343 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). [hyper(286,a,16699,a(flip),b,19340,a),flip(a)]. given #16666 (H,wt=15): 19351 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(1092(a,2),19343(a,1,2,2))]. given #16667 (H,wt=17): 19352 K(x,L(y,(z \ u) \ u,w)) = K(x,L(y,z,w)). [para(4679(a,1),19343(a,1,2,2)),flip(a)]. given #16668 (H,wt=17): 19353 K(x,L(y,z \ u,w)) = K(x,L(y,u / z,w)). [para(4699(a,1),19343(a,1,2,2)),flip(a)]. given #16669 (H,wt=17): 19357 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [para(7844(a,1),19343(a,1,2,2))]. given #16670 (H,wt=19): 19355 K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). [para(6030(a,1),19343(a,1,2,2)),flip(a)]. given #16671 (H,wt=21): 19356 K(x,L(y,z * (K(u,w) * v5),v6)) = K(x,L(y,z * v5,v6)). [para(6567(a,1),19343(a,1,2,2)),flip(a)]. given #16672 (H,wt=21): 19358 K(x,L(y,((z \ u) * z) * w,v5)) = K(x,L(y,u * w,v5)). [para(11382(a,1),19343(a,1,2,2))]. given #16673 (H,wt=19): 19383 K(x,L(x \ y,y * z,u)) = K(x,L(x \ y,z,u)). [hyper(14522,a,19358,a),flip(a)]. given #16674 (H,wt=22): 19367 K(x,L((y / z) / T(u,w),u,z)) = K(x,y / (T(u,w) * z)). [hyper(62,a,14387,a(flip),b,19351,a),flip(a)]. given #16675 (H,wt=22): 19370 K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). [hyper(62,a,12224,a(flip),b,19352,a),flip(a)]. given #16676 (H,wt=23): 19342 a(x,y \ K(z,u),K(w,v5)) = K(v5,x) * K(x,L(v5,y,w \ 1)). [para(19339(a,1),14184(a,1,2)),flip(a)]. given #16677 (H,wt=19): 19388 a(x,y \ K(z,u),K(w,v5)) = a(x,y,K(w \ 1,v5)). [hyper(286,a,14184,a(flip),b,19342,a),flip(a)]. given #16678 (H,wt=17): 19389 a(x,y \ K(z,u),K(w,v5)) = a(w,y,K(x,v5)). [hyper(286,a,14190,a(flip),b,19388,a),flip(a)]. given #16679 (H,wt=17): 19390 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(62,a,14475,a(flip),b,19389,a)]. given #16680 (H,wt=15): 19392 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [para(1092(a,2),19390(a,1,2))]. given #16681 (H,wt=19): 19396 T(x,a(y,K(z,u) * w,v5)) = x * a(x,w,K(v5,y)). [para(19390(a,1),14206(a,1,2)),flip(a)]. given #16682 (H,wt=17): 19399 T(x,a(y,K(z,u) * w,v5)) = T(x,a(y,w,v5)). [hyper(286,a,14206,a(flip),b,19396,a),flip(a)]. given #16683 (H,wt=17): 19400 T(x,a(y,z * K(u,w),v5)) = T(x,a(y,z,v5)). [para(7844(a,1),19399(a,1,2,2))]. given #16684 (H,wt=17): 19401 L(x,y * K(z,u),K(w,v5)) = T(x,a(v5,y,w)). [hyper(62,a,18098,a,b,19400,a)]. given #16685 (H,wt=17): 19402 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(286,a,18098,a,b,19401,a),flip(a)]. given #16686 (H,wt=15): 19404 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [para(4621(a,1),19402(a,1,2)),flip(a)]. given #16687 (H,wt=17): 19403 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(62,a,17973,a,b,19402,a)]. given #16688 (H,wt=13): 19406 L(L(x,y,K(z,u)),y,K(u,z)) = x. [hyper(7465,a,19403,a),flip(a)]. given #16689 (H,wt=23): 19359 K(x,L(y,(T(z,u) * w) * v5,v6)) = K(x,L(y,(z * w) * v5,v6)). [para(14484(a,1),19343(a,1,2,2))]. given #16690 (H,wt=23): 19405 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y \ 1,K(u,z)). [hyper(62,a,18648,a,b,19404,a)]. given #16691 (H,wt=21): 19411 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y,K(z,u)). [hyper(286,a,18145,a(flip),b,19405,a),flip(a)]. given #16692 (H,wt=19): 19412 L(x,y \ z,K(u,y * (y \ z))) = L(x,y,K(z,u)). [para(13500(a,1),19411(a,1,3))]. given #16693 (H,wt=15): 19413 L(x,y \ z,K(u,z)) = L(x,y,K(z,u)). [para(10(a,1),19412(a,1,3,2))]. given #16694 (H,wt=21): 19414 a(x,y \ z,K(u,z)) = (x * w) \ (L(x,y,K(z,u)) * w). [para(19413(a,1),18227(a,1,2,1)),flip(a)]. given #16695 (H,wt=15): 19415 a(x,y \ z,K(u,z)) = a(x,y,K(z,u)). [hyper(286,a,18227,a(flip),b,19414,a),flip(a)]. given #16696 (H,wt=15): 19416 a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). [hyper(286,a,14178,a,b,19415,a),flip(a)]. given #16697 (H,wt=24): 19366 K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,y)) \ u,w). [hyper(62,a,18413,a(flip),b,19351,a),flip(a)]. given #16698 (H,wt=24): 19372 K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (x / y)) \ u,w). [hyper(286,a,11791,a(flip),b,19353,a),flip(a)]. given #16699 (H,wt=24): 19379 K(x,L(y,z,u)) * K(w,L(v5,z,u)) = L(K(w,v5) * K(x,y),z,u). [para(19357(a,1),17762(a,1,2))]. given #16700 (H,wt=24): 19384 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,y,z)). [hyper(62,a,14440,a,b,19383,a)]. given #16701 (H,wt=17): 19419 K(x,L(x \ y,z,u)) = K(x,x \ R(y,z,u)). [hyper(62,a,14704,a(flip),b,19384,a),flip(a)]. given #16702 (H,wt=25): 19408 L(x \ 1,y,K(z,u)) * L(x,w,v5) = L(x,y,K(z,u)) \ L(x,w,v5). [para(19406(a,1),19068(a,1,2,1)),flip(a)]. given #16703 (H,wt=25): 19420 K(x,L(y,z,u)) * K(y,L(y \ x,z,u)) = a(y,y \ R(x,z,u),y). [para(19419(a,2),14380(a,1,2))]. given #16704 (H,wt=22): 19422 L(K(x,x \ y) * K(y,x),z,u) = a(x,x \ R(y,z,u),x). [hyper(62,a,19379,a(flip),b,19420,a)]. given #16705 (H,wt=19): 19423 a(x,x \ R(y,z,u),x) = L(a(x,x \ y,x),z,u). [para(9196(a,1),19422(a,1,1)),flip(a)]. given #16706 (H,wt=19): 19425 a(x,x \ R(y,z,u),x) != w | a(x,x \ y,x) = w. [para(19423(a,2),13029(a,1))]. given #16707 (H,wt=19): 19426 a(x,x \ ((y * z) \ z),x) = a(x,x \ (y \ 1),x). [hyper(19425,a,16167,a),flip(a)]. given #16708 (H,wt=26): 19348 K(x \ K(y,z),L(T(u,w * x),x,w)) = K(((x * w) \ w) * K(y,z),u). [hyper(62,a,17583,a(flip),b,19343,a),flip(a)]. given #16709 (H,wt=23): 19427 K((x * K(y,z)) / (x * u),w) = K(((u * x) \ x) * K(y,z),w). [hyper(11794,a,19348,a)]. given #16710 (H,wt=23): 19429 K(((x * y) \ y) * K(z,u),w) = K(y * ((y * x) \ K(z,u)),w). [hyper(18208,a,19427,a),flip(a)]. given #16711 (H,wt=26): 19364 K(x,L(T(y \ T(z,y),u),y,y \ u)) = K(x,((u / T(y,z)) * z) / u). [hyper(62,a,19217,a(flip),b,19351,a),flip(a)]. given #16712 (H,wt=23): 19432 K(x,((y / T(z,u)) * u) / y) = K(x,((y / z) * T(u,z)) / y). [hyper(62,a,11947,a(flip),b,19364,a),flip(a)]. given #16713 (H,wt=26): 19365 K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)) = K(x,L((z \ y) \ u,y,z)). [hyper(62,a,18708,a(flip),b,19351,a)]. given #16714 (H,wt=23): 19434 K(x,T(y,z \ 1) \ ((y \ (z \ y)) \ u)) = K(x,y \ (z * u)). [hyper(286,a,18189,a(flip),b,19365,a),flip(a)]. given #16715 (H,wt=21): 19435 K(x,T(y,z) \ ((y \ (z \ y)) \ u)) = K(x,y \ (z * u)). [hyper(62,a,15556,a(flip),b,19434,a)]. given #16716 (H,wt=26): 19381 K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (y \ T(x,y))) \ u,w). [hyper(62,a,18548,a(flip),b,19355,a),flip(a)]. given #16717 (H,wt=21): 19438 K((x * (y \ T(z,y))) \ u,w) = K((x * (z / y)) \ u,w). [hyper(62,a,19372,a(flip),b,19381,a),flip(a)]. given #16718 (H,wt=25): 19439 K((T(x,y / z) * (y / z)) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). [hyper(62,a,18595,a(flip),b,19438,a),flip(a)]. given #16719 (H,wt=21): 19440 K(((T(x,y) \ y) * z) \ u,w) = K(((y / x) * z) \ u,w). [hyper(18348,a,19439,a),flip(a)]. given #16720 (H,wt=21): 19441 K(((x \ T(y,x)) * z) \ u,w) = K(((y / x) * z) \ u,w). [hyper(18596,a,19440,a)]. given #16721 (H,wt=26): 19417 K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,x \ y)) \ u,w). [hyper(62,a,13186,a(flip),b,19366,a)]. given #16722 (H,wt=21): 19442 K((x \ T(y,y \ z)) \ u,w) = K((x \ T(y,z)) \ u,w). [hyper(62,a,19366,a(flip),b,19417,a),flip(a)]. given #16723 (H,wt=25): 19443 K(x,(y \ T(z,z \ u)) \ w) = (v5 * K((y \ T(z,u)) \ w,x)) \ v5. [para(19442(a,1),6895(a,1,1,2)),flip(a)]. given #16724 (H,wt=21): 19446 K(x,(y \ T(z,z \ u)) \ w) = K(x,(y \ T(z,u)) \ w). [hyper(286,a,15072,a(flip),b,19443,a),flip(a)]. given #16725 (H,wt=27): 19376 K((x / y) \ (z \ u),L(w,y \ x,z)) != v5 | K((z * (x / y)) \ u,w) = v5. [para(19353(a,2),11909(a,1))]. given #16726 (H,wt=27): 19430 K((x * y) * (((x * y) * z) \ K(y,x)),u) = K((z * (x * y)) \ (y * x),u). [para(13887(a,1),19429(a,1,1)),flip(a)]. given #16727 (H,wt=23): 19447 K((x * (y * z)) \ (z * y),u) = K(x \ K(y,z),T(u,y * z)). [hyper(17593,a,19430,a),flip(a)]. given #16728 (H,wt=28): 19331 a(x \ 1,y,K(z \ (y * x),u)) * K(u,(y * x) / z) = K(u,y / (z / x)). [hyper(62,a,18028,a,b,19330,a)]. given #16729 (H,wt=26): 19448 a(x \ (y * z),y,K(z,u)) * K(u,(y * z) / x) = K(u,y / (x / z)). [para(14227(a,1),19331(a,1,1))]. given #16730 (H,wt=24): 19449 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(14316(a,1),19448(a,1,1))]. given #16731 (H,wt=28): 19335 K((x * y) \ (z * K(u,w)),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). [hyper(18422,a,19334,a),flip(a)]. given #16732 (H,wt=28): 19360 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * T(z,w)) / (u * (y \ T(z,w)))). [hyper(16213,a,19351,a),flip(a)]. given #16733 (H,wt=27): 19453 K(x,(y * T(z,u)) / (y * (w \ T(z,u)))) = K(x,(y * z) / (y * (w \ z))). [hyper(15647,a,19360,a),flip(a)]. given #16734 (H,wt=28): 19451 a(x,y,K(z,u \ y)) * K(z,(y * x) / T(u,w)) = K(z,y / (T(u,w) / x)). [para(19275(a,1),19449(a,1,1))]. given #16735 (H,wt=28): 19452 K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). [hyper(62,a,17379,a(flip),b,19335,a)]. given #16736 (H,wt=27): 19455 K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(z \ (u \ (w * K(y,x))),v5). [hyper(62,a,18726,a,b,19452,a)]. given #16737 (H,wt=27): 19457 K((x \ (y \ z)) * K(T(u,x * y),w),v5) = K(x \ (y \ (z * K(u,w))),v5). [hyper(62,a,17377,a(flip),b,19455,a)]. given #16738 (H,wt=23): 19458 K(x \ (y \ (z * K(u,w))),v5) = K((x \ (y \ z)) * K(u,w),v5). [hyper(15481,a,19457,a),flip(a)]. given #16739 (H,wt=25): 19460 K(((x \ 1) \ (y \ z)) * K(u,w),v5) = K(x * (y \ (z * K(u,w))),v5). [hyper(13551,a,19458,a),flip(a)]. given #16740 (H,wt=23): 19462 K(x * (y \ (z * K(u,w))),v5) = K(x * ((y \ z) * K(u,w)),v5). [hyper(17424,a,19460,a),flip(a)]. given #16741 (H,wt=26): 19459 K(x \ (y \ (z * K(u,w))),v5) != v6 | K((x \ (y \ z)) * K(u,w),v5) = v6. [para(19457(a,1),15481(a,1))]. given #16742 (H,wt=26): 19463 K(x * (y \ (z * K(u,w))),v5) != v6 | K(x * ((y \ z) * K(u,w)),v5) = v6. [para(19460(a,1),17424(a,1))]. given #16743 (H,wt=27): 19464 (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * (z \ (u * K(w,v5)))). [para(19462(a,1),6895(a,1,1,2))]. given #16744 (H,wt=23): 19466 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [hyper(15158,a,19464,a),flip(a)]. given #16745 (H,wt=30): 19204 (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(19198(a,1),11840(a,1,2))]. given #16746 (H,wt=30): 19218 K(T(x,y) \ z,L(T(u,w),T(x,y),x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [hyper(62,a,11878,a(flip),b,19199,a),flip(a)]. given #16747 (H,wt=28): 19471 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [hyper(62,a,19351,a(flip),b,19218,a)]. given #16748 (H,wt=26): 19473 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,y)) * z) / w,u). [para(6605(a,1),19471(a,2,1,1,1))]. given #16749 (H,wt=24): 19474 K(((x / T(y,z)) * z) / x,u) = K(z / y,L(T(u,x),y,y \ x)). [hyper(16047,a,19473,a),flip(a)]. given #16750 (H,wt=23): 19476 K(((x / T(y,z)) * z) / x,u) = K(((x / y) * T(z,y)) / x,u). [hyper(286,a,16084,a(flip),b,19474,a),flip(a)]. given #16751 (H,wt=21): 19477 K(((x / T(y,z)) * z) / x,u) = K(x \ (z * (y \ x)),u). [hyper(286,a,18509,a(flip),b,19476,a),flip(a)]. given #16752 (H,wt=28): 19475 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,x \ y)) * z) / w,u). [hyper(62,a,13186,a(flip),b,19473,a)]. given #16753 (H,wt=25): 19479 K(((x / T(y,y \ z)) * u) / x,w) = K(((x / T(y,z)) * u) / x,w). [hyper(62,a,19473,a(flip),b,19475,a),flip(a)]. given #16754 (H,wt=29): 19480 K(x,((y / T(z,z \ u)) * w) / y) = (v5 * K(((y / T(z,u)) * w) / y,x)) \ v5. [para(19479(a,1),6895(a,1,1,2)),flip(a)]. given #16755 (H,wt=25): 19481 K(x,((y / T(z,z \ u)) * w) / y) = K(x,((y / T(z,u)) * w) / y). [hyper(286,a,15072,a(flip),b,19480,a),flip(a)]. given #16756 (H,wt=28): 19482 K(x,((y / T(z,z \ u)) * w) / y) != v5 | K(x,((y / T(z,u)) * w) / y) = v5. [para(19480(a,2),6902(a,1))]. given #16757 (H,wt=30): 19239 ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (u \ K(z,y)) * K(w,L(v5,x,x \ u)). [para(19208(a,1),14671(a,1,2)),flip(a)]. given #16758 (H,wt=30): 19259 K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ 1)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [para(19238(a,1),18064(a,1,2,2))]. given #16759 (H,wt=28): 19484 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((K(y,x) / x) / w) * (w * K(z,u)). [hyper(5747,a,19259,a)]. given #16760 (H,wt=28): 19485 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). [para(4901(a,2),19484(a,2,1,1))]. given #16761 (H,wt=28): 19486 T(x,y) \ K(z,L(u,w,x \ (w \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). [hyper(62,a,18082,a(flip),b,19485,a)]. given #16762 (H,wt=30): 19336 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * ((y \ 1) * (z * K(u,w))),v5). [hyper(13913,a,19334,a),flip(a)]. given #16763 (H,wt=30): 19347 K(((x * y) * z) \ (K(x,y) * u),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,18712,a(flip),b,19343,a),flip(a)]. given #16764 (H,wt=30): 19398 ((x * T(y,K(z,u))) * K(w,v5)) / a(x,y,K(w,v5)) = x * T(y * K(w,v5),K(z,u)). [para(19392(a,1),15920(a,1,2))]. given #16765 (H,wt=30): 19454 a(x,y,K(z,y \ T(u,w))) * K(x,(y * z) / T(u,v5)) = K(x,y / (T(u,v5) / z)). [para(19275(a,2),19451(a,1,1))]. given #16766 (H,wt=30): 19456 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ (y \ (w * K(z,u))),v5). [hyper(62,a,17587,a(flip),b,19452,a)]. given #16767 (H,wt=28): 19494 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K(x * (y \ (w * K(z,u))),v5). [hyper(286,a,13494,a(flip),b,19456,a),flip(a)]. given #16768 (H,wt=30): 19468 (x * (y \ K(y,z))) * K(u,L(w,y,x \ 1)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(14420(a,1),19204(a,1,2))]. given #16769 (H,wt=30): 19488 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w)),v5). [hyper(286,a,17270,a,b,19336,a),flip(a)]. given #16770 (H,wt=30): 19490 K((((x * y) * z) \ u) * K(x,y),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,17380,a(flip),b,19347,a)]. given #16771 (H,wt=28): 19496 K(((x * T(y,x)) * z) \ u,L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,17589,a(flip),b,19490,a)]. given #16772 (H,wt=26): 19497 K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ ((x * y) \ u),w). [para(108(a,1),19496(a,1,1,1,1))]. given #16773 (H,wt=21): 19498 K(x \ (T(y * z,y) \ u),w) = K(x \ ((z * y) \ u),w). [hyper(62,a,18570,a(flip),b,19497,a)]. given #16774 (H,wt=23): 19499 K((x \ 1) \ ((y * z) \ u),w) = K(x * (T(z * y,z) \ u),w). [hyper(13551,a,19498,a),flip(a)]. given #16775 (H,wt=21): 19500 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [hyper(13551,a,19499,a),flip(a)]. given #16776 (H,wt=23): 19502 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * ((x * y) \ u),w). [hyper(62,a,17853,a,b,19500,a)]. given #16777 (H,wt=21): 19504 K(x * (T(y * z,z) \ u),w) = K(x * ((z * y) \ u),w). [hyper(62,a,17667,a(flip),b,19502,a)]. given #16778 (H,wt=24): 19501 K(x * (T(y * z,y) \ u),w) != v5 | K(x * ((z * y) \ u),w) = v5. [para(19499(a,1),13551(a,1))]. given #16779 (H,wt=25): 19503 K(x * (T((y \ 1) * z,y) \ u),w) = K(x * ((z * (y \ 1)) \ u),w). [hyper(62,a,17950,a(flip),b,19500,a)]. given #16780 (H,wt=25): 19505 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * (((z \ 1) * y) \ u),w). [hyper(62,a,17950,a(flip),b,19504,a)]. given #16781 (H,wt=26): 19507 K(x * (L(y / z,z,z \ 1) \ u),w) = K(x * ((y * (z \ 1)) \ u),w). [hyper(62,a,17230,a,b,19503,a)]. given #16782 (H,wt=26): 19509 K(x * (((y * z) * (z \ 1)) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). [hyper(62,a,17244,a(flip),b,19503,a),flip(a)]. given #16783 (H,wt=25): 19511 K(x * (R(y,z,z \ 1) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). [para(458(a,1),19509(a,1,1,2,1))]. given #16784 (H,wt=26): 19513 K(a(x,y,x) * (L(z,u,u \ 1) \ w),v5) = K(R(z,u,u \ 1) \ w,v5). [hyper(13175,a,19511,a),flip(a)]. given #16785 (H,wt=21): 19514 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(17259,a,19513,a),flip(a)]. given #16786 (H,wt=23): 19515 K(L(x \ 1,y,y \ 1) \ z,u) = K(L(x,y \ 1,y) * z,u). [hyper(13744,a,19514,a),flip(a)]. given #16787 (H,wt=21): 19517 K(R(x,y \ 1,y) * z,u) = K(L(x,y \ 1,y) * z,u). [hyper(13743,a,19515,a)]. given #16788 (H,wt=26): 19516 (x * K(L(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). [para(19514(a,1),13860(a,1,1,2))]. given #16789 (H,wt=22): 19519 K(x,(y * ((z * y) \ 1)) * u) = K(x,L(z,y,y \ 1) \ u). [hyper(15158,a,19516,a),flip(a)]. given #16790 (H,wt=21): 19520 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(13750,a,19519,a)]. given #16791 (H,wt=22): 19521 K(x,L(y / z,z,z \ 1) \ u) = K(x,(z * (y \ 1)) * u). [para(12(a,1),19519(a,1,2,1,2,1)),flip(a)]. given #16792 (H,wt=25): 19522 T(K(x,L(y,z,z \ 1) \ u),y \ 1) = K(x,u / R(y,z,z \ 1)). [para(19519(a,1),14058(a,1,1))]. given #16793 (H,wt=23): 19524 K(x,T(L(y,z,z \ 1) \ u,y)) = K(x,u / R(y,z,z \ 1)). [hyper(8477,a,19522,a)]. given #16794 (H,wt=21): 19525 K(x,y / R(z,u,u \ 1)) = K(x,y / L(z,u,u \ 1)). [hyper(16720,a,19524,a),flip(a)]. given #16795 (H,wt=24): 19526 K(x,y / R(z,u,u \ 1)) != w | K(x,y / L(z,u,u \ 1)) = w. [para(19524(a,1),16720(a,1))]. given #16796 (H,wt=25): 19523 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,L(y,z,z \ 1) \ u). [hyper(62,a,18738,a,b,19520,a)]. given #16797 (H,wt=23): 19527 K(x,a(y,z,z \ 1) \ (y \ u)) = K(x,L(y,z,z \ 1) \ u). [hyper(62,a,18846,a(flip),b,19523,a)]. given #16798 (H,wt=28): 19506 K(x * (T((y \ 1) * z,y) \ u),w) != v5 | K(x * ((z * (y \ 1)) \ u),w) = v5. [para(17950(a,1),19501(a,1))]. given #16799 (H,wt=28): 19518 K(L(x,y \ 1,y) * z,T(u,R(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). [hyper(12095,a,19517,a),flip(a)]. given #16800 (H,wt=28): 19529 K(L(x,y \ 1,y) * z,T(u,L(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). [para(14356(a,1),19518(a,1,2))]. given #16801 (H,wt=21): 19530 K(x * R(y,z \ 1,z),u) = K(x * L(y,z \ 1,z),u). [hyper(12095,a,19529,a),flip(a)]. given #16802 (H,wt=24): 19531 K(x,K(y * L(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). [para(19530(a,1),18977(a,1,2))]. given #16803 (H,wt=28): 19532 K(x,K(y * (L(z,u \ 1,u) * w),v5 * v6)) = K(x,K(z * (w * y),v5 * v6)). [hyper(62,a,18970,a(flip),b,19531,a)]. given #16804 (H,wt=29): 19528 K(x * (L(y / z,z,z \ 1) \ u),w) != v5 | K(x * ((y * (z \ 1)) \ u),w) = v5. [para(17230(a,2),19506(a,1))]. given #16805 (H,wt=30): 19491 ((x * T(y,K(z,u))) * K(w,v5)) * a(v5,y,K(w,x)) = x * T(y * K(w,v5),K(z,u)). [hyper(14205,a,19398,a)]. given #16806 (H,wt=30): 19533 (x * T(y,K(z,u))) * (a(w,y,K(v5,x)) * K(v5,w)) = x * T(y * K(v5,w),K(z,u)). [hyper(62,a,17468,a(flip),b,19491,a)]. given #16807 (H,wt=26): 19534 (x * T(y,K(z,u))) * K(w,L(v5,y,x)) = x * T(y * K(w,v5),K(z,u)). [para(14201(a,1),19533(a,1,2))]. given #16808 (H,wt=31): 19368 K(x,L(T((y * z) / y,u),K(z,y) * w,v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). [hyper(62,a,11874,a(flip),b,19351,a),flip(a)]. given #16809 (H,wt=27): 19538 K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T((y * z) / y,u),w,v5)). [hyper(62,a,19343,a(flip),b,19368,a),flip(a)]. given #16810 (H,wt=25): 19540 K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T(T(z,u),y),w,v5)). [hyper(286,a,8589,a(flip),b,19538,a),flip(a)]. given #16811 (H,wt=23): 19541 K(x,L(T(T(y,z),u),w * y,v5)) = K(x,L(T(T(y,z),u),w,v5)). [hyper(62,a,8589,a(flip),b,19540,a)]. given #16812 (H,wt=26): 19542 K(x,L(T(T(y,z),(z * y) * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,16303,a(flip),b,19541,a),flip(a)]. given #16813 (H,wt=24): 19543 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,14590,a(flip),b,19542,a)]. given #16814 (H,wt=23): 19544 K(x,(y * z) \ ((y * u) * z)) = K(x,(z * y) / (z * (u \ y))). [hyper(15647,a,19543,a),flip(a)]. given #16815 (H,wt=23): 19545 K(x,(y * z) \ ((y * u) * z)) = K(x,(z * (u * y)) / (z * y)). [hyper(62,a,15548,a(flip),b,19543,a),flip(a)]. given #16816 (H,wt=23): 19549 K(x \ y,(y * z) \ ((y * u) * z)) = K((x * z) \ (y * z),u). [hyper(286,a,15540,a(flip),b,19544,a),flip(a)]. given #16817 (H,wt=23): 19550 K(x,(y * z) \ ((y * u) * z)) = (z * (K(x,u) * y)) / (z * y). [hyper(286,a,10379,a(flip),b,19544,a),flip(a)]. given #16818 (H,wt=27): 19547 K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(u * y) / (u * (w \ y))). [hyper(286,a,19453,a(flip),b,19544,a),flip(a)]. given #16819 (H,wt=27): 19548 K(x,(y * (y \ z)) \ ((y * u) * (y \ z))) = K(x,((z / y) * (u * y)) / z). [hyper(286,a,15698,a(flip),b,19544,a),flip(a)]. given #16820 (H,wt=23): 19555 K(x,y \ ((z * u) * (z \ y))) = K(x,((y / z) * (u * z)) / y). [para(10(a,1),19548(a,1,2,1))]. given #16821 (H,wt=24): 19556 K(x,L(T(T(y,z),u),z,z \ u)) = K(x,u \ ((z * y) * (z \ u))). [hyper(286,a,11949,a,b,19555,a)]. given #16822 (H,wt=27): 19552 K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ ((y / z) * z),u). [para(12(a,1),19549(a,1,2,1))]. given #16823 (H,wt=23): 19558 K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ y,u). [para(12(a,1),19552(a,2,1,2))]. given #16824 (H,wt=23): 19559 K((((x / y) / z) * y) \ x,u) = K(z,x \ (((x / y) * u) * y)). [hyper(7507,a,19558,a),flip(a)]. given #16825 (H,wt=26): 19560 K((((x / y) / z) * y) \ x,u) != w | K(z,x \ (((x / y) * u) * y)) = w. [para(19558(a,1),7507(a,1))]. given #16826 (H,wt=27): 19554 K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(y * u) \ ((y * w) * u)). [hyper(286,a,19544,a,b,19547,a),flip(a)]. given #16827 (H,wt=29): 19546 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(u * y) \ ((u * R(z,w,v5)) * y)). [hyper(286,a,16139,a,b,19544,a)]. given #16828 (H,wt=31): 19487 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (((x \ 1) / z) * (z * K(u,w))) \ 1. [para(19486(a,1),18081(a,1,1))]. given #16829 (H,wt=31): 19563 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * (((x \ 1) / z) \ 1). [hyper(286,a,13593,a(flip),b,19487,a),flip(a)]. given #16830 (H,wt=29): 19564 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * ((z \ 1) \ x). [para(6425(a,1),19563(a,2,2))]. given #16831 (H,wt=29): 19565 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (z \ 1) * ((K(u,w) / z) \ x). [hyper(286,a,18808,a(flip),b,19564,a),flip(a)]. given #16832 (H,wt=32): 19160 K(x,(y * (z \ u)) * (w * K(L(v5,u,z \ 1),v6))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). [para(18233(a,1),19155(a,1,2,1,2)),flip(a)]. given #16833 (H,wt=32): 19216 K(x,L(T(T(y \ z,y),u),T(y,y \ z),y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [hyper(62,a,11951,a(flip),b,19199,a),flip(a)]. given #16834 (H,wt=28): 19568 K(x,L(T(T(y \ z,y),u),y,y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [hyper(62,a,19351,a(flip),b,19216,a)]. given #16835 (H,wt=27): 19570 K(x,y \ ((z * (z \ u)) * (z \ y))) = K(x,((y / T(z,z \ u)) * u) / y). [hyper(62,a,19556,a(flip),b,19568,a)]. given #16836 (H,wt=23): 19571 K(x,((y / T(z,z \ u)) * u) / y) = K(x,y \ (u * (z \ y))). [para(10(a,1),19570(a,1,2,2,1)),flip(a)]. given #16837 (H,wt=21): 19572 K(x,((y / T(z,u)) * u) / y) = K(x,y \ (u * (z \ y))). [hyper(19482,a,19571,a)]. given #16838 (H,wt=21): 19574 K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). [hyper(62,a,19432,a(flip),b,19572,a)]. given #16839 (H,wt=32): 19240 K(x,L(T(y,z),u,u \ z)) * (z \ K(w,v5)) = ((z \ K(w,v5)) / (u \ 1)) * (u \ K(x,y)). [para(19208(a,1),16289(a,1,1))]. given #16840 (H,wt=31): 19575 ((x / y) * (y * K(T(z,x),u))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). [hyper(62,a,17224,a(flip),b,19240,a)]. given #16841 (H,wt=31): 19577 ((x / y) * (y * K(z,T(u,x)))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). [para(7777(a,1),19575(a,1,1,2,2))]. given #16842 (H,wt=29): 19578 ((x \ K(y,z)) / (u \ 1)) * (u \ K(w,v5)) = (u * ((K(w,v5) * u) \ x)) \ K(y,z). [para(18853(a,1),19577(a,1,1)),flip(a)]. given #16843 (H,wt=29): 19579 ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (x * ((K(w,v5) * x) \ u)) \ K(z,y). [para(13626(a,2),19578(a,1,1))]. given #16844 (H,wt=28): 19580 (x \ K(y,z)) * K(u,L(w,v5,v5 \ x)) = (v5 * ((K(u,w) * v5) \ x)) \ K(y,z). [hyper(62,a,19239,a(flip),b,19579,a)]. given #16845 (H,wt=32): 19260 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = (z \ 1) * ((K(y,x) / z) \ (u * K(w,v5))). [para(19238(a,1),18813(a,1,1))]. given #16846 (H,wt=31): 19581 ((x \ 1) * ((K(y,z) / x) \ u)) * K(w,v5) = (x \ 1) * ((K(y,z) / x) \ (u * K(w,v5))). [hyper(62,a,18809,a(flip),b,19260,a)]. given #16847 (H,wt=32): 19318 K((x * ((y * K(z,u)) \ 1)) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(z,u)) \ w),v5). [hyper(13741,a,19245,a)]. given #16848 (H,wt=30): 19582 K((x * (K(y,z) / u)) * w,L(v5,w,u \ 1)) = K((x \ 1) \ ((u * K(z,y)) \ w),v5). [para(13591(a,1),19318(a,1,1,1,2))]. given #16849 (H,wt=30): 19583 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(u,z)) \ w),v5). [hyper(15632,a,19582,a)]. given #16850 (H,wt=25): 19584 K((x \ 1) \ ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). [hyper(62,a,19494,a(flip),b,19583,a),flip(a)]. given #16851 (H,wt=23): 19585 K(x * ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). [hyper(13551,a,19584,a)]. given #16852 (H,wt=23): 19586 K(x * ((K(y,z) * u) \ w),v5) = K(x * (u \ (w * K(z,y))),v5). [hyper(16849,a,19585,a)]. given #16853 (H,wt=23): 19587 K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u \ w) * K(z,y)),v5). [hyper(286,a,19462,a(flip),b,19586,a),flip(a)]. given #16854 (H,wt=25): 19589 K(x * (((y * z) \ u) * K(w,y)),v5) = K(x * ((T(y,w) * z) \ u),v5). [para(4675(a,1),19587(a,1,1,2,1)),flip(a)]. given #16855 (H,wt=26): 19588 K(x * ((K(y,z) * u) \ w),v5) != v6 | K(x * ((u \ w) * K(z,y)),v5) = v6. [para(19586(a,2),19463(a,1))]. given #16856 (H,wt=27): 19590 (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * ((K(v5,w) * z) \ u)). [para(19587(a,1),6895(a,1,1,2))]. given #16857 (H,wt=23): 19591 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w \ v5) * K(u,z))). [hyper(15158,a,19590,a),flip(a)]. given #16858 (H,wt=23): 19592 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) * K(u,w))). [hyper(18149,a,19591,a)]. given #16859 (H,wt=25): 19593 K(x,(y \ 1) * ((z \ u) * K(w,v5))) = K(x,y \ ((K(v5,w) * z) \ u)). [hyper(13560,a,19591,a),flip(a)]. given #16860 (H,wt=23): 19595 K(x,y \ ((K(z,u) * w) \ v5)) = K(x,y \ ((w \ v5) * K(u,z))). [hyper(13560,a,19593,a),flip(a)]. given #16861 (H,wt=23): 19596 K(x,y \ ((K(z,u) * w) \ v5)) = K(x,(y \ (w \ v5)) * K(u,z)). [hyper(286,a,18286,a(flip),b,19595,a),flip(a)]. given #16862 (H,wt=29): 19597 T(x,K(y,(z \ (u \ (w \ 1))) * K(v5,v6))) = T(x,K(y,(w / (u \ K(v5,v6))) * z)). [para(19596(a,1),13820(a,1,2))]. given #16863 (H,wt=25): 19598 T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,v6 \ (u \ (z \ 1)))). [hyper(15877,a,19597,a),flip(a)]. given #16864 (H,wt=23): 19600 T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,z * (u * v6))). [hyper(286,a,17227,a(flip),b,19598,a),flip(a)]. given #16865 (H,wt=23): 19601 T(x,K(y,((z \ K(u,w)) \ v5) * v6)) = T(x,K(y,v5 * (z * v6))). [hyper(15876,a,19600,a)]. given #16866 (H,wt=23): 19602 T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,z * (u * v6))). [hyper(18950,a,19601,a)]. given #16867 (H,wt=19): 19603 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). [hyper(62,a,19170,a(flip),b,19602,a)]. given #16868 (H,wt=31): 19594 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ (K(w,v5) * z)) * y). [para(19592(a,1),16808(a,1,2))]. given #16869 (H,wt=23): 19604 K(x,(y \ (K(z,u) * w)) * v5) = K(x,K(u,z) * ((y \ w) * v5)). [hyper(62,a,18365,a(flip),b,19594,a),flip(a)]. given #16870 (H,wt=23): 19605 K(x,(y \ (K(z,u) * w)) * v5) = K(x,(y \ w) * (K(z,u) * v5)). [hyper(286,a,17064,a(flip),b,19604,a),flip(a)]. given #16871 (H,wt=25): 19606 K(x,(y \ (z * u)) * (K(z,w) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). [para(4675(a,1),19605(a,1,2,1,2)),flip(a)]. given #16872 (H,wt=25): 19608 K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ (T(y,z) * w)) * v5). [hyper(17075,a,19606,a)]. given #16873 (H,wt=23): 19610 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (T(z,u) * u)) * w). [hyper(62,a,17104,a(flip),b,19608,a)]. given #16874 (H,wt=25): 19609 K(x,(y \ (z * u)) * (K(w,z) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). [hyper(17130,a,19608,a)]. given #16875 (H,wt=27): 19607 K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (z * w)) * (K(u,z) * v5)). [para(5885(a,1),19605(a,1,2,1,2))]. given #16876 (H,wt=25): 19611 K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [hyper(286,a,19609,a(flip),b,19607,a),flip(a)]. given #16877 (H,wt=21): 19612 K(x,(y \ (T(z,u) * u)) * w) = K(x,(y \ (u * z)) * w). [para(4740(a,1),19611(a,1,2,1,2)),flip(a)]. given #16878 (H,wt=21): 19614 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,19610,a,b,19612,a)]. given #16879 (H,wt=21): 19615 K(x,(y \ T(z * u,z)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,18906,a(flip),b,19614,a)]. given #16880 (H,wt=27): 19613 K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(6044(a,2),19611(a,1,2,1,2)),flip(a)]. given #16881 (H,wt=29): 19617 K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (u * (K(u \ z,u) * w))) * v5). [hyper(62,a,19611,a,b,19613,a),flip(a)]. given #16882 (H,wt=32): 19327 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,((y * z) * (z \ 1)) \ ((z \ 1) * u)). [para(11394(a,1),19325(a,1,2)),flip(a)]. given #16883 (H,wt=31): 19618 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,R(y,z,z \ 1) \ ((z \ 1) * u)). [para(458(a,1),19327(a,2,2,1))]. given #16884 (H,wt=31): 19619 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,L(y,z,z \ 1) \ ((z \ 1) * u)). [hyper(286,a,19520,a(flip),b,19618,a),flip(a)]. given #16885 (H,wt=24): 19620 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (z \ u)). [hyper(286,a,18537,a(flip),b,19619,a),flip(a)]. given #16886 (H,wt=20): 19621 K(x,y \ (L(z \ 1,z,y) * u)) = K(x,y \ (z \ u)). [hyper(62,a,18692,a(flip),b,19620,a)]. given #16887 (H,wt=24): 19622 K(x,T(y,z) \ (L(u \ 1,u,y) * w)) = K(x,T(y,z) \ (u \ w)). [para(18171(a,1),19621(a,1,2,2,1))]. given #16888 (H,wt=32): 19382 (K(x,L(y,z * u,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). [para(19356(a,1),18889(a,1,1,1))]. given #16889 (H,wt=30): 19623 (K(x,L(y,z,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). [para(18183(a,1),19382(a,1,1,1))]. given #16890 (H,wt=27): 19625 ((K(x,y) * z) * (K(u,w) * v5)) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). [para(19212(a,1),19623(a,1,1))]. given #16891 (H,wt=27): 19626 ((K(x,y) * z) * u) / (K(w,v5) * u) = K(x,y) * ((z * u) / (K(w,v5) * u)). [hyper(62,a,18887,a(flip),b,19625,a)]. given #16892 (H,wt=29): 19627 K(x,y) * ((z * u) / (K(w,T(v5,z)) * u)) = u \ ((u * K(v5,w)) * (K(x,y) * z)). [hyper(62,a,18891,a(flip),b,19626,a),flip(a)]. given #16893 (H,wt=27): 19628 x \ ((x * K(y,z)) * (K(u,w) * v5)) = K(u,w) * (x \ ((x * K(y,z)) * v5)). [para(18890(a,1),19627(a,1,2)),flip(a)]. given #16894 (H,wt=20): 19629 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [hyper(18864,a,19628,a),flip(a)]. given #16895 (H,wt=30): 19631 T(L(x,K(y,z),u),((u * K(z,y)) * x) \ u) = (u \ ((u * K(z,y)) * x)) * K(y,z). [para(19629(a,1),13784(a,1,1))]. given #16896 (H,wt=30): 19632 T(L(x,K(y,z),u),((u * x) \ u) * K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). [hyper(62,a,18329,a(flip),b,19631,a)]. given #16897 (H,wt=26): 19633 T(L(x,K(y,z),u),x \ K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). [hyper(62,a,18346,a(flip),b,19632,a)]. given #16898 (H,wt=26): 19635 L(T(x,x \ K(y,z)),K(z,y),u) = (u \ ((u * K(y,z)) * x)) * K(z,y). [hyper(62,a,25,a,b,19633,a)]. given #16899 (H,wt=24): 19636 (x \ ((x * K(y,z)) * u)) * K(z,y) = L(T(u,K(z,y)),K(z,y),x). [para(12187(a,1),19635(a,1,1)),flip(a)]. given #16900 (H,wt=32): 19495 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w \ 1)),v5). [hyper(16999,a,19488,a)]. given #16901 (H,wt=30): 19637 K((x / T(y,z)) * u,L(w,u,y \ 1)) = K(x * (((y \ 1) * u) * K(z,y \ 1)),w). [hyper(62,a,16995,a(flip),b,19495,a)]. given #16902 (H,wt=27): 19638 K(x * (((y \ 1) * z) * K(u,y \ 1)),w) = K(x * ((T(y,u) \ 1) * z),w). [hyper(16779,a,19637,a),flip(a)]. given #16903 (H,wt=27): 19639 K(x * ((y \ 1) * (z * K(u,y \ 1))),w) = K(x * ((T(y,u) \ 1) * z),w). [hyper(17275,a,19638,a)]. given #16904 (H,wt=23): 19640 K(x * (T(y \ 1,z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [hyper(62,a,19124,a(flip),b,19639,a)]. given #16905 (H,wt=25): 19641 K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [hyper(286,a,17557,a(flip),b,19640,a),flip(a)]. given #16906 (H,wt=25): 19646 K(x * (T(y \ 1,y \ z) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(286,a,19640,a,b,19641,a),flip(a)]. given #16907 (H,wt=27): 19642 K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((((y \ z) \ z) \ 1) * u),w). [para(109(a,1),19640(a,2,1,2,1,1))]. given #16908 (H,wt=25): 19647 K(x * ((((y \ z) \ z) \ 1) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(62,a,19646,a(flip),b,19642,a),flip(a)]. given #16909 (H,wt=27): 19644 (x * K(y * (T(z \ 1,u) * w),v5)) \ x = K(v5,y * ((T(z,u) \ 1) * w)). [para(19640(a,2),6895(a,1,1,2))]. given #16910 (H,wt=23): 19648 K(x,y * (T(z \ 1,u) * w)) = K(x,y * ((T(z,u) \ 1) * w)). [hyper(15158,a,19644,a)]. given #16911 (H,wt=25): 19649 K(x,(y \ 1) * (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). [hyper(286,a,13501,a(flip),b,19648,a),flip(a)]. given #16912 (H,wt=23): 19651 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). [hyper(13560,a,19649,a)]. given #16913 (H,wt=27): 19652 K(x,y \ (T(z \ 1,z \ u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). [para(109(a,1),19651(a,2,2,2,1,1))]. given #16914 (H,wt=27): 19653 K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). [hyper(62,a,18462,a(flip),b,19652,a)]. given #16915 (H,wt=25): 19654 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(62,a,13203,a(flip),b,19653,a),flip(a)]. given #16916 (H,wt=31): 19643 K(x * (T((y * z) \ 1,y \ 1) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). [para(3892(a,1),19640(a,2,1,2,1,1))]. given #16917 (H,wt=31): 19645 K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T((y \ 1) \ 1,z) * u),w). [para(15355(a,2),19640(a,2,1,2,1)),flip(a)]. given #16918 (H,wt=27): 19656 K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). [para(4893(a,1),19645(a,2,1,2,1,1))]. given #16919 (H,wt=23): 19657 K(x * ((y * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). [para(4883(a,1),19656(a,1,1,2,1,1))]. given #16920 (H,wt=23): 19658 K(x * ((y * K(z,y \ 1)) * u),w) = K(x * (T(y,z) * u),w). [para(3318(a,2),19657(a,1,1,2,1,2))]. given #16921 (H,wt=23): 19659 K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z) * u),w). [para(6474(a,1),19658(a,1,1,2))]. given #16922 (H,wt=21): 19660 K(x * (T(y,z \ 1) * u),w) = K(x * (T(y,z) * u),w). [hyper(62,a,19129,a(flip),b,19659,a)]. given #16923 (H,wt=29): 19661 K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). [hyper(62,a,19643,a(flip),b,19660,a),flip(a)]. given #16924 (H,wt=27): 19662 K(x * (T((y * z) \ 1,z) * u),w) = K(x * (T((y * z) \ 1,y) * u),w). [hyper(286,a,19647,a(flip),b,19661,a)]. given #16925 (H,wt=32): 19508 K(x * (L(T(y,z) / z,T(z,y),z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(62,a,17954,a(flip),b,19503,a)]. given #16926 (H,wt=30): 19663 K(x * (L(T(y,z) / z,z,z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [para(7330(a,1),19508(a,1,1,2,1))]. given #16927 (H,wt=27): 19664 K(x * ((T(y,z) * (z \ 1)) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(19528,a,19663,a)]. given #16928 (H,wt=32): 19566 K(x,(y * (z \ u)) * (w * K(v5,L(v6,u,z \ 1)))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). [para(11780(a,1),19160(a,1,2,2,2))]. given #16929 (H,wt=27): 19666 K(x,(y * (z \ (u * K(w,v5)))) * v6) = K(x,K(w,v5) * ((y * (z \ u)) * v6)). [hyper(17191,a,19566,a),flip(a)]. given #16930 (H,wt=33): 19164 K(x,(y * ((z * K(y \ K(u,w),v5)) \ K(w,u))) * v6) = K(x,(z * T(y \ K(u,w),v5)) \ v6). [para(6864(a,1),19163(a,1,2,1)),flip(a)]. given #16931 (H,wt=33): 19308 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,u \ (K(v5,w) * (v5 \ K(v8,v9))))). [para(5716(a,1),19258(a,1,2,3,2)),flip(a)]. given #16932 (H,wt=33): 19467 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). [para(19466(a,1),18785(a,1,2))]. given #16933 (H,wt=25): 19669 K(x,(y \ ((K(z,u) / w) \ 1)) * v5) = K(x,K(z,u) * ((y \ w) * v5)). [hyper(62,a,18365,a(flip),b,19467,a),flip(a)]. given #16934 (H,wt=23): 19670 K(x,(y \ (z * K(u,w))) * v5) = K(x,K(w,u) * ((y \ z) * v5)). [para(13520(a,1),19669(a,1,2,1,2))]. given #16935 (H,wt=25): 19671 K(x,K(y,z \ u) * (((u / z) \ y) * w)) = K(x,(y / (u / z)) * w). [hyper(17558,a,19670,a),flip(a)]. given #16936 (H,wt=23): 19673 K(x,((y / z) \ T(u,z \ y)) * w) = K(x,(u / (y / z)) * w). [hyper(62,a,17102,a(flip),b,19671,a)]. given #16937 (H,wt=25): 19672 K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * T(z,y))) * v5). [para(6811(a,1),19670(a,1,2,1,2)),flip(a)]. given #16938 (H,wt=25): 19674 K(x,K(y,z) * ((u \ (w * y)) * v5)) = K(x,(u \ (w * T(y,z))) * v5). [hyper(14721,a,19672,a)]. given #16939 (H,wt=33): 19553 K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,((y / z) * z) \ (((y / z) * y) * z)). [hyper(13933,a,19550,a(flip))]. given #16940 (H,wt=29): 19675 K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,y \ (((y / z) * y) * z)). [para(12(a,1),19553(a,2,2,1))]. given #16941 (H,wt=29): 19677 K(x,T(y,z)) * K(x,K(z * (y / z),T(y,z))) = K(x,y \ (((y / z) * y) * z)). [para(8056(a,1),19675(a,1,2))]. given #16942 (H,wt=27): 19679 K(x,T(y,z)) * K(x,K((y / z) * z,y)) = K(x,y \ (((y / z) * y) * z)). [para(12087(a,1),19677(a,1,2,2))]. given #16943 (H,wt=23): 19681 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,K(y,y)). [para(12(a,1),19679(a,1,2,2,1)),flip(a)]. given #16944 (H,wt=21): 19682 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,1). [para(159(a,1),19681(a,2,2,2))]. given #16945 (H,wt=19): 19684 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * 1. [para(252(a,1),19682(a,2,2))]. given #16946 (H,wt=17): 19685 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)). [hyper(286,a,8,a(flip),b,19684,a),flip(a)]. given #16947 (H,wt=33): 19562 K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = L(K(x,(y * u) \ ((y * w) * u)),v5,v6). [para(19554(a,1),11732(a,1,1)),flip(a)]. given #16948 (H,wt=33): 19667 K(x,(y * (K(z,y \ K(u,w)) * (v5 \ K(w,u)))) * v6) = K(x,(v5 * T(y \ K(u,w),z)) \ v6). [para(16872(a,1),19164(a,1,2,1,2))]. given #16949 (H,wt=33): 19668 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,(v5 \ K(v8,v9)) * (u \ K(v5,w)))). [hyper(286,a,18046,a(flip),b,19308,a),flip(a)]. given #16950 (H,wt=33): 19687 K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = K(x,L((y * u) \ ((y * w) * u),v5,v6)). [hyper(286,a,11732,a(flip),b,19562,a),flip(a)]. given #16951 (H,wt=33): 19688 K(x,(y * (z \ K(u,w))) * (v5 * K(y \ K(w,u),v6))) = K(x,(z * T(y \ K(w,u),v6)) \ v5). [hyper(19152,a,19667,a)]. given #16952 (H,wt=29): 19690 K(x,(y * (z \ K(u,w))) * (K(v5,y) * v6)) = K(x,(z * T(y \ K(w,u),v5)) \ v6). [hyper(62,a,17319,a(flip),b,19688,a)]. given #16953 (H,wt=27): 19692 K(x,(y * T(z \ K(u,w),v5)) \ v6) = K(x,(T(z,v5) * (y \ K(w,u))) * v6). [hyper(62,a,19154,a(flip),b,19690,a),flip(a)]. given #16954 (H,wt=33): 19689 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,K(v8,v9) * (v5 \ (u \ K(v5,w))))). [hyper(286,a,17574,a(flip),b,19668,a),flip(a)]. given #16955 (H,wt=31): 19694 K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,K(v6,v7) * (v5 \ (u \ K(v5,w))))). [hyper(62,a,19238,a(flip),b,19689,a)]. given #16956 (H,wt=29): 19695 K(x,L(y,z,K(u,w) * (v5 \ (v6 \ K(v5,v7))))) = K(x,L(y,z,v6 \ (T(v5,v7) \ 1))). [hyper(62,a,16188,a(flip),b,19694,a),flip(a)]. given #16957 (H,wt=25): 19696 K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ K(w,v5)))). [hyper(62,a,19203,a(flip),b,19695,a),flip(a)]. given #16958 (H,wt=23): 19698 K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ 1))). [hyper(286,a,19238,a(flip),b,19696,a),flip(a)]. given #16959 (H,wt=30): 19699 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((T(u,w) \ 1) / x) * y) * T(u,w),z). [hyper(15498,a,19698,a),flip(a)]. given #16960 (H,wt=34): 19535 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T((K(z,u) / y) * K(w,v5),K(z,u)). [para(12182(a,1),19534(a,1,1,2))]. given #16961 (H,wt=34): 19551 K((x * y) / ((z \ x) * y),(u * w) \ ((u * v5) * w)) = K(z,L((w * (v5 * u)) / (w * u),x,y)). [hyper(14418,a,19545,a(flip)),flip(a)]. given #16962 (H,wt=29): 19701 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L((z * (u * y)) / (z * y),w,v5)). [hyper(14418,a,19551,a)]. given #16963 (H,wt=29): 19702 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,(y * z) \ ((y * R(u,w,v5)) * z)). [hyper(286,a,19546,a(flip),b,19701,a),flip(a)]. given #16964 (H,wt=30): 19703 K(x,L((y * z) \ ((y * u) * z),z,(u * y) \ 1)) = K(x,z / ((z * y) / (u * y))). [hyper(286,a,19330,a(flip),b,19701,a),flip(a)]. given #16965 (H,wt=23): 19704 K(x,((y * z) \ (y * u)) \ u) = K(x,u / ((u * y) / (z * y))). [hyper(62,a,19241,a(flip),b,19703,a)]. given #16966 (H,wt=34): 19700 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T(K(z,u) * (y \ K(w,v5)),K(z,u)). [para(16873(a,1),19535(a,2,2,1))]. given #16967 (H,wt=30): 19705 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * ((y \ K(w,v5)) * K(z,u)). [para(7894(a,1),19700(a,2,2))]. given #16968 (H,wt=28): 19706 (x * (y \ K(z,u))) * K(w,L(v5,y,x \ 1)) = x * ((y \ K(w,v5)) * K(z,u)). [para(19337(a,1),19705(a,1,2))]. given #16969 (H,wt=25): 19707 (x * K(y,z)) * ((y \ 1) * K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). [hyper(62,a,19468,a(flip),b,19706,a)]. given #16970 (H,wt=23): 19709 (x * K(y,z)) * (y \ K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). [para(13512(a,1),19707(a,1,2))]. given #16971 (H,wt=25): 19710 x * ((y \ K(y,z)) * K(y,u \ 1)) = (x * T(y \ 1,u)) * K(y,z). [hyper(62,a,7294,a(flip),b,19709,a),flip(a)]. given #16972 (H,wt=25): 19711 x * (K(y,z) * (y \ K(y,u \ 1))) = (x * T(y \ 1,u)) * K(y,z). [para(13579(a,1),19710(a,1,2))]. given #16973 (H,wt=23): 19712 (x * T(y \ 1,z)) * K(y,u) = x * (K(y,u) * T(y \ 1,z)). [para(6464(a,1),19711(a,1,2,2)),flip(a)]. given #16974 (H,wt=35): 19385 K(x,L((y / z) / a(u \ 1,u,w),a(u \ 1,u,w),z)) = K(x,y / (T(a(u \ 1,u,w),v5) * z)). [para(10764(a,1),19367(a,1,2,1,2))]. given #16975 (H,wt=35): 19444 K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,z \ u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). [para(19442(a,1),8519(a,1,1,2))]. given #16976 (H,wt=33): 19715 K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). [hyper(62,a,19446,a(flip),b,19444,a)]. given #16977 (H,wt=25): 19716 K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,((y \ T(z,u)) \ w) \ 1). [hyper(15373,a,19715,a),flip(a)]. given #16978 (H,wt=23): 19717 K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,w \ (y \ T(z,u))). [hyper(286,a,6717,a(flip),b,19716,a),flip(a)]. given #16979 (H,wt=21): 19718 K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). [hyper(6979,a,19717,a)]. given #16980 (H,wt=25): 19719 K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (T(u,u \ w) / z)). [hyper(62,a,18833,a(flip),b,19718,a),flip(a)]. given #16981 (H,wt=21): 19720 K(x,y \ (T(z,z \ u) / w)) = K(x,y \ (T(z,u) / w)). [hyper(62,a,18832,a(flip),b,19719,a),flip(a)]. given #16982 (H,wt=28): 19721 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,z) / z)). [hyper(62,a,17767,a,b,19720,a)]. given #16983 (H,wt=26): 19722 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (z \ y)). [hyper(286,a,17930,a(flip),b,19721,a),flip(a)]. given #16984 (H,wt=24): 19723 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ (z \ y)). [para(19426(a,1),19722(a,1,1))]. given #16985 (H,wt=17): 19724 K(x,(x \ (y \ 1)) * z) = K(x,x \ (y \ z)). [hyper(62,a,13911,a(flip),b,19723,a)]. given #16986 (H,wt=35): 19478 K(x \ K(y \ (z * (u \ y)),w),((y / T(u,z)) * z) / y) = K(x,(((y / T(u,z)) * z) / y) \ 1). [para(19477(a,1),8519(a,1,1,2))]. given #16987 (H,wt=33): 19727 K(x \ K(y \ (z * (u \ y)),w),y \ (z * (u \ y))) = K(x,(((y / T(u,z)) * z) / y) \ 1). [hyper(62,a,19572,a(flip),b,19478,a)]. given #16988 (H,wt=25): 19728 K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(y \ (u * (z \ y))) \ 1). [hyper(15373,a,19727,a),flip(a)]. given #16989 (H,wt=23): 19729 K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(u * (z \ y)) \ y). [hyper(286,a,6717,a(flip),b,19728,a),flip(a)]. given #16990 (H,wt=21): 19730 K(x,y / ((y / T(z,u)) * u)) = K(x,(u * (z \ y)) \ y). [hyper(7036,a,19729,a)]. given #16991 (H,wt=35): 19512 K(x * (L(y,z,z \ 1) \ u),L(w,u,R(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(18192,a,19511,a),flip(a)]. given #16992 (H,wt=35): 19561 K(T(T(x,y / z),x \ (y / z)),y \ (((y / z) * u) * z)) = K(((x \ T(y / z,x)) * z) \ y,u). [para(8961(a,2),19558(a,1,1))]. given #16993 (H,wt=35): 19713 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = T(x,y \ 1) * (K(y,u \ 1) * T(y \ 1,z)). [hyper(62,a,11544,a,b,19712,a)]. given #16994 (H,wt=35): 19714 K(x,L(a(y \ 1,y,z) \ (u / w),a(y \ 1,y,z),w)) = K(x,u / (T(a(y \ 1,y,z),v5) * w)). [para(10762(a,2),19385(a,1,2,1))]. given #16995 (H,wt=35): 19731 K(x * (L(y,z,z \ 1) \ u),L(w,u,L(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(14490,a,19512,a)]. given #16996 (H,wt=30): 19734 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(62,a,14343,a(flip),b,19731,a)]. given #16997 (H,wt=28): 19736 K((x * (R(y,z,z \ 1) \ 1)) * u,w) = K((x * (((z * y) \ 1) * z)) * u,w). [hyper(62,a,18627,a(flip),b,19734,a),flip(a)]. given #16998 (H,wt=27): 19737 K((x * (((y * z) \ 1) * y)) * u,w) = K((x * (y * ((z * y) \ 1))) * u,w). [para(6412(a,1),19736(a,1,1,1,2)),flip(a)]. given #16999 (H,wt=35): 19732 K(T(x,y / z),T(y \ (((y / z) * u) * z),x \ (y / z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(7981,a,19561,a)]. given #17000 (H,wt=35): 19738 K((T(x,((y * z) \ 1) * y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). [hyper(62,a,17631,a(flip),b,19737,a),flip(a)]. given #17001 (H,wt=33): 19740 K((T(x,(y * z) \ y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). [para(13674(a,1),19738(a,1,1,1,1))]. given #17002 (H,wt=31): 19741 K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((((z * y) \ 1) * z) * x) * u,w). [para(6753(a,1),19740(a,1,1,1,1))]. given #17003 (H,wt=27): 19742 K(((((x * y) \ 1) * x) * z) * u,w) = K(((x * ((y * x) \ 1)) * z) * u,w). [hyper(62,a,18611,a(flip),b,19741,a),flip(a)]. given #17004 (H,wt=35): 19739 K(T(x,y / z),T(y \ (((y / z) * u) * z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(62,a,18954,a(flip),b,19732,a)]. given #17005 (H,wt=35): 19745 K(x,T(T(y \ (((y / z) * u) * z),y / z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(8516,a,19739,a)]. given #17006 (H,wt=30): 19746 K(x,T(R(T(y,z),u \ z,u),x * (z \ u))) = K(((x \ T(z / u,x)) * u) \ z,y). [para(10595(a,1),19745(a,1,2,1))]. given #17007 (H,wt=30): 19747 K(x,R(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [para(27(a,2),19746(a,1,2))]. given #17008 (H,wt=30): 19748 K(x,L(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [hyper(14417,a,19747,a)]. given #17009 (H,wt=28): 19749 K(x,L(T(T(y,z),x * (z \ u)),z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [hyper(18195,a,19748,a)]. given #17010 (H,wt=26): 19750 K(((x \ T(y / z,x)) * z) \ y,u) = K(x,L(T(T(u,y),y \ z),y,z)). [hyper(62,a,9441,a(flip),b,19749,a),flip(a)]. given #17011 (H,wt=24): 19751 K(x,L(T(T(y,z),z \ u),z,u)) = K((((z / u) / x) * u) \ z,y). [hyper(62,a,19441,a(flip),b,19750,a),flip(a)]. given #17012 (H,wt=24): 19752 K(x,L(T(T(y,z),z \ u),z,u)) = K(x,z \ (((z / u) * y) * u)). [hyper(286,a,19559,a(flip),b,19751,a),flip(a)]. given #17013 (H,wt=30): 19753 (x \ K(L(T(T(y,z),z \ u),z,u),w)) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [hyper(62,a,13580,a,b,19752,a)]. given #17014 (H,wt=30): 19754 K(x,L(T(L(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * L(y,u,w)) * v5)). [para(25(a,2),19752(a,1,2,1,1))]. given #17015 (H,wt=30): 19755 K(x,L(T(R(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * R(y,u,w)) * v5)). [para(27(a,2),19752(a,1,2,1,1))]. given #17016 (H,wt=30): 19757 (x \ K(T(T(y,z),z \ u),L(w,z,u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [para(11780(a,1),19753(a,1,1,2))]. given #17017 (H,wt=30): 19758 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * L(y,w,v5)) * u)). [para(25(a,2),19754(a,1,2,1))]. given #17018 (H,wt=30): 19759 K(x,L(R(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). [para(27(a,2),19755(a,1,2,1))]. given #17019 (H,wt=30): 19760 (x \ K(T(y,z),T(L(u,z,w),z \ w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). [para(7777(a,1),19757(a,1,1,2))]. given #17020 (H,wt=30): 19761 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,L(z \ (((z / u) * y) * u),w,v5)). [para(7480(a,2),19758(a,2,2))]. given #17021 (H,wt=30): 19762 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). [hyper(62,a,14448,a(flip),b,19759,a)]. given #17022 (H,wt=29): 19764 K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). [hyper(62,a,19761,a(flip),b,19762,a)]. given #17023 (H,wt=30): 19763 (x \ K(T(y,z),L(T(u,z \ w),z,w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). [para(25(a,2),19760(a,1,1,2,2))]. given #17024 (H,wt=30): 19765 (x \ K(y,T(L(T(z,u \ w),u,w),u))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). [para(7777(a,1),19763(a,1,1,2))]. given #17025 (H,wt=30): 19766 (x \ K(y,L(T(T(z,u),u \ w),u,w))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). [para(111(a,2),19765(a,1,1,2,2))]. given #17026 (H,wt=29): 19767 (x \ K(y,z \ (((z / u) * w) * u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [para(19752(a,1),19766(a,1,1,2))]. given #17027 (H,wt=23): 19768 K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). [hyper(13581,a,19767,a)]. given #17028 (H,wt=31): 19756 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (T(x,y) * K(z,T(T(u,x),x \ y))). [para(19752(a,1),11772(a,1,2))]. given #17029 (H,wt=29): 19769 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,x \ y)) * T(x,y)). [para(15275(a,1),19756(a,2,2))]. given #17030 (H,wt=29): 19770 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,y * x)) * T(x,y)). [para(14952(a,1),19769(a,2,2,1))]. given #17031 (H,wt=23): 19771 (x * y) * K(z,x \ (((x / y) * u) * y)) = (x * K(z,u)) * y. [hyper(286,a,18075,a(flip),b,19770,a),flip(a)]. given #17032 (H,wt=23): 19772 K(x,y \ (((y / z) * (y \ u)) * z)) = K(x,(y * z) \ (u * z)). [hyper(33,a,14529,a,b,19771,a),flip(a)]. given #17033 (H,wt=23): 19773 K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). [para(9(a,1),19772(a,1,2,2,1,2)),flip(a)]. given #17034 (H,wt=27): 19775 K(x,y \ (((y / z) * T(y \ u,w)) * z)) = K(x,T((y * z) \ (u * z),w)). [para(1331(a,1),19773(a,1,2)),flip(a)]. given #17035 (H,wt=29): 19774 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). [hyper(62,a,19702,a,b,19773,a)]. given #17036 (H,wt=29): 19776 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(286,a,19764,a,b,19774,a),flip(a)]. given #17037 (H,wt=28): 19777 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). [hyper(62,a,14605,a(flip),b,19776,a),flip(a)]. given #17038 (H,wt=31): 19780 x \ ((x * y) * K(z,x \ (((x / y) * u) * y))) = y * K(z,y \ (x \ ((x * u) * y))). [para(19777(a,1),14612(a,2,2))]. given #17039 (H,wt=23): 19781 x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). [para(19771(a,1),19780(a,1,2)),flip(a)]. given #17040 (H,wt=31): 19782 x * (K(y,x \ (z \ ((z * u) * x))) * K(w,v5)) = (z \ ((z * K(y,u)) * x)) * K(w,v5). [para(19781(a,1),17348(a,1,1)),flip(a)]. given #17041 (H,wt=34): 19779 (x \ K(L(y \ (((y / z) * u) * z),z,y \ 1),w)) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). [hyper(62,a,13580,a,b,19777,a)]. given #17042 (H,wt=34): 19784 (x \ K(y \ (((y / z) * u) * z),L(w,z,y \ 1))) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). [para(11780(a,1),19779(a,1,1,2))]. given #17043 (H,wt=34): 19785 (x \ K(y,z \ (((z / u) * L(w,u,z \ 1)) * u))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). [para(19768(a,1),19784(a,1,1,2))]. given #17044 (H,wt=34): 19786 (x \ K(y,L(z \ (((z / u) * w) * u),u,z \ 1))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). [para(7480(a,2),19785(a,1,1,2,2))]. given #17045 (H,wt=29): 19787 (x \ K(y,z \ (u \ ((u * w) * z)))) \ (x \ 1) = K(w,z \ (u \ ((u * y) * z))). [para(19777(a,1),19786(a,1,1,2))]. given #17046 (H,wt=23): 19788 K(x \ (y \ ((y * z) * x)),u) = K(z,x \ (y \ ((y * u) * x))). [hyper(13581,a,19787,a)]. given #17047 (H,wt=33): 19789 K(x \ (y \ ((y * z) * x)),T(y \ L(y,u,w),v5)) = K(z,x \ (y \ (L(y,u,T(w,v5)) * x))). [para(18385(a,1),19788(a,2,2,2,2,1))]. given #17048 (H,wt=29): 19790 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(y \ (z \ ((z * x) * y)),w)). [hyper(62,a,18702,a(flip),b,19789,a),flip(a)]. given #17049 (H,wt=29): 19792 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,y \ (z \ ((z * w) * y)))). [para(19788(a,1),19790(a,2,3))]. given #17050 (H,wt=27): 19793 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,y \ ((z * w) * y))). [hyper(14330,a,19792,a(flip)),flip(a)]. given #17051 (H,wt=25): 19794 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,T(z * w,y))). [para(22(a,2),19793(a,2,3,2))]. given #17052 (H,wt=23): 19795 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,z * w)). [hyper(286,a,18018,a(flip),b,19794,a),flip(a)]. given #17053 (H,wt=21): 19797 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,w)). [hyper(286,a,14301,a(flip),b,19795,a),flip(a)]. given #17054 (H,wt=36): 19166 K(x * ((((y \ 1) * z) * u) * K(y,L(w,u,(y \ 1) * z))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [para(11753(a,2),19126(a,1,1,2))]. given #17055 (H,wt=29): 19798 K(x * ((((y \ 1) * z) * u) * K(w,y)),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [hyper(62,a,17799,a(flip),b,19166,a)]. given #17056 (H,wt=29): 19799 K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [hyper(17275,a,19798,a)]. given #17057 (H,wt=27): 19801 K(x * ((T(y \ 1,z) * u) * w),v5) = K(x * (((T(y,z) \ 1) * u) * w),v5). [hyper(62,a,19135,a(flip),b,19799,a)]. given #17058 (H,wt=31): 19802 (x * K(y * ((T(z \ 1,u) * w) * v5),v6)) \ x = K(v6,y * (((T(z,u) \ 1) * w) * v5)). [para(19801(a,2),6895(a,1,1,2))]. given #17059 (H,wt=27): 19803 K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * (((T(z,u) \ 1) * w) * v5)). [hyper(15158,a,19802,a)]. given #17060 (H,wt=30): 19804 K(x,y * (((T(z,u) \ 1) * w) * v5)) != v6 | K(x,y * ((T(z \ 1,u) * w) * v5)) = v6. [para(19802(a,1),6902(a,1))]. given #17061 (H,wt=36): 19319 K(((x * K(y * z,y)) * u) \ w,L(v5,w,x \ 1)) = K(u \ (T(K(y * z,y) * x,K(y,z)) \ w),v5). [para(12047(a,2),19245(a,2,1,2,1))]. given #17062 (H,wt=36): 19320 K(((x * K(y,T(z,u))) * w) \ v5,L(v6,v5,x \ 1)) = K((w * K(y,K(z,u))) \ ((x * K(y,z)) \ v5),v6). [para(16911(a,1),19245(a,1,1,1))]. given #17063 (H,wt=36): 19450 a(x,y,K(z,y \ T(u,w \ v5))) * K(x,(y * z) / T(u,w * v5)) = K(x,y / (T(u,w \ v5) / z)). [para(17733(a,1),19449(a,1,2))]. given #17064 (H,wt=23): 19807 K(x,y / (T(z,u \ w) / v5)) = K(x,y / (T(z,u * w) / v5)). [hyper(62,a,19454,a(flip),b,19450,a),flip(a)]. given #17065 (H,wt=36): 19805 K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(((u * x) \ w) * K(y,y * z),L(v5,w,u \ 1)). [hyper(62,a,17586,a(flip),b,19319,a),flip(a)]. given #17066 (H,wt=34): 19808 K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(K(z,y) * ((u * x) \ w),L(v5,w,u \ 1)). [hyper(286,a,16015,a(flip),b,19805,a),flip(a)]. given #17067 (H,wt=30): 19809 K(x \ ((y * K(z * u,z)) \ w),v5) = K(K(u,z) * ((y * x) \ w),L(v5,w,y \ 1)). [para(12047(a,1),19808(a,1,1,2,1))]. given #17068 (H,wt=36): 19806 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(T(z,u),y),L(v6,v5,w \ 1)). [hyper(62,a,17586,a(flip),b,19320,a),flip(a)]. given #17069 (H,wt=34): 19810 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(z,y),L(v6,v5,w \ 1)). [hyper(286,a,15434,a(flip),b,19806,a),flip(a)]. given #17070 (H,wt=29): 19812 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(x \ (w \ (v5 * K(z,y))),v6). [hyper(286,a,19452,a(flip),b,19810,a),flip(a)]. given #17071 (H,wt=23): 19813 K(x \ ((y * K(z,u)) \ w),v5) = K(x \ (y \ (w * K(u,z))),v5). [para(5795(a,1),19812(a,1,1,1))]. given #17072 (H,wt=23): 19814 K(x \ ((y * K(z,u)) \ w),v5) = K((x \ (y \ w)) * K(u,z),v5). [hyper(286,a,19458,a(flip),b,19813,a),flip(a)]. given #17073 (H,wt=30): 19815 K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K((u \ (z \ w)) * K(y,y * x),v5). [hyper(62,a,19809,a(flip),b,19814,a)]. given #17074 (H,wt=28): 19816 K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K(K(x,y) * (u \ (z \ w)),v5). [hyper(286,a,16015,a(flip),b,19815,a),flip(a)]. given #17075 (H,wt=35): 19817 K(x * (y \ K(K(z,u) * (w \ (v5 \ v6)),v7)),v8) = K(x * (y \ K(v7,K(z,u) * ((v5 * w) \ v6))),v8). [para(19816(a,1),17792(a,1,1,2,2))]. given #17076 (H,wt=31): 19818 K(x * (y \ K(z,K(u,w) * ((v5 * v6) \ v7))),v8) = K(x * (y \ K(z,v6 \ (v5 \ v7))),v8). [hyper(62,a,18459,a(flip),b,19817,a),flip(a)]. given #17077 (H,wt=27): 19820 K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w \ (u \ v5))),v6). [hyper(62,a,18457,a(flip),b,19818,a)]. given #17078 (H,wt=37): 19510 K(x * (T(((y \ 1) * K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). [para(6041(a,2),19503(a,1,1,2,1,1))]. given #17079 (H,wt=35): 19821 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). [para(2823(a,1),19510(a,1,1,2,1,1,1))]. given #17080 (H,wt=35): 19822 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * ((K(z,y \ 1) * (u * (y \ 1))) \ w),v5). [para(7998(a,1),19821(a,2,1,2,1))]. given #17081 (H,wt=35): 19823 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y \ 1,z)),v5). [hyper(286,a,19587,a(flip),b,19822,a),flip(a)]. given #17082 (H,wt=35): 19824 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z \ 1)),v5). [para(6458(a,1),19823(a,2,1,2,2))]. given #17083 (H,wt=33): 19825 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z)),v5). [hyper(286,a,16996,a(flip),b,19824,a),flip(a)]. given #17084 (H,wt=29): 19826 K(x * (((y * (z \ 1)) \ u) * K(z,y)),w) = K(x * (T(y * (z \ 1),z) \ u),w). [para(4841(a,1),19825(a,1,1,2,1,1)),flip(a)]. given #17085 (H,wt=27): 19827 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * ((T(y,z) * (z \ 1)) \ u),w). [hyper(62,a,19589,a(flip),b,19826,a),flip(a)]. given #17086 (H,wt=27): 19828 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(286,a,19664,a(flip),b,19827,a),flip(a)]. given #17087 (H,wt=25): 19829 K(x * ((y * (T(z,y) \ 1)) \ u),w) = K(x * (((z \ 1) * y) \ u),w). [hyper(62,a,19505,a(flip),b,19828,a),flip(a)]. given #17088 (H,wt=37): 19616 K(x,(y \ T((K(z \ u,z) * w) * z,K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(6044(a,2),19615(a,2,2,1,2))]. given #17089 (H,wt=37): 19630 x \ ((x * K(y,z)) * (K(u,T(w,x \ ((x * K(y,z)) * v5))) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [hyper(286,a,8146,a(flip),b,19628,a),flip(a)]. given #17090 (H,wt=33): 19832 x \ ((x * K(y,z)) * (K(u,T(w,K(z,y) * v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [para(18874(a,1),19630(a,1,2,2,1,2))]. given #17091 (H,wt=29): 19833 x \ ((x * K(y,z)) * (K(u,T(w,v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [para(15737(a,1),19832(a,1,2,2,1))]. given #17092 (H,wt=27): 19835 x \ ((x * K(y,z)) * (u * K(w,v5))) = (x \ ((x * K(y,z)) * u)) * K(w,v5). [para(8146(a,1),19833(a,1,2,2))]. given #17093 (H,wt=29): 19837 (x \ ((x * K(y,z)) * (u \ 1))) * K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). [para(13512(a,1),19835(a,1,2,2)),flip(a)]. given #17094 (H,wt=37): 19650 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * ((T(z \ 1,u) * w) / T(z \ 1,u)))). [para(3662(a,2),19648(a,1,2,2))]. given #17095 (H,wt=31): 19838 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * T(w,T(z \ 1,u)))). [hyper(286,a,19140,a(flip),b,19650,a),flip(a)]. given #17096 (H,wt=25): 19839 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * (w * (T(z,u) \ 1))). [para(8646(a,1),19838(a,2,2,2))]. given #17097 (H,wt=23): 19840 K(x,y * (z * T(u \ 1,w))) = K(x,y * (z * (T(u,w) \ 1))). [hyper(62,a,14830,a(flip),b,19839,a)]. given #17098 (H,wt=27): 19841 K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,(w \ 1) * (y * T(z \ 1,u))). [hyper(13567,a,19840,a(flip))]. given #17099 (H,wt=25): 19842 K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,w \ (y * T(z \ 1,u))). [hyper(286,a,13501,a(flip),b,19841,a),flip(a)]. given #17100 (H,wt=23): 19843 K(x,y \ (z * T(u \ 1,w))) = K(x,y \ (z * (T(u,w) \ 1))). [hyper(6979,a,19842,a),flip(a)]. given #17101 (H,wt=37): 19726 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ ((y \ 1) \ 1)) * z). [hyper(286,a,16347,a,b,19724,a)]. given #17102 (H,wt=33): 19844 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). [para(4893(a,1),19726(a,2,2,1,2))]. given #17103 (H,wt=31): 19845 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). [para(13532(a,1),19844(a,1,1,1,2))]. given #17104 (H,wt=29): 19846 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,(x \ y) * z). [para(7617(a,1),19845(a,1,2))]. given #17105 (H,wt=15): 19847 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(62,a,16352,a(flip),b,19846,a),flip(a)]. given #17106 (H,wt=25): 19848 K(x \ K(y,z * (y \ u)),(y \ z) * u) = K(x,((y \ z) * u) \ 1). [para(19847(a,1),9022(a,1,1,2))]. given #17107 (H,wt=28): 19849 K(x \ K(y,z * (y \ u)),(y \ z) * u) != w | K(x,((y \ z) * u) \ 1) = w. [para(19847(a,1),9024(a,1,1,2))]. given #17108 (H,wt=37): 19783 (x \ 1) * (K(y,x * (z \ ((z * u) * (x \ 1)))) * K(w,v5)) = (z \ ((z * K(y,u)) * (x \ 1))) * K(w,v5). [para(13500(a,1),19782(a,1,2,1))]. given #17109 (H,wt=35): 19850 (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = (w \ ((w * K(u,v5)) * (x \ 1))) * K(y,z). [hyper(62,a,17413,a(flip),b,19783,a)]. given #17110 (H,wt=33): 19851 (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = w \ ((w * K(u,v5)) * (x \ K(y,z))). [hyper(286,a,19837,a(flip),b,19850,a),flip(a)]. given #17111 (H,wt=37): 19831 K(x,(y \ T(K(z \ u,z) * (w * z),K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(7998(a,1),19616(a,1,2,1,2,1))]. given #17112 (H,wt=31): 19852 K(x,(y \ T(K(z \ u,z) * (w * z),w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [hyper(62,a,17775,a(flip),b,19831,a)]. given #17113 (H,wt=38): 19257 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(62,a,12318,a(flip),b,19237,a),flip(a)]. given #17114 (H,wt=36): 19854 K(x \ y,L(T(z,u \ 1),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(15340,a,19257,a)]. given #17115 (H,wt=34): 19857 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(62,a,8608,a(flip),b,19854,a)]. given #17116 (H,wt=31): 19858 K(((((T(x,y) \ 1) / z) * u) / (x \ 1)) * K(x,y),w) = K((((x \ 1) / z) * u) * x,w). [hyper(13761,a,19857,a),flip(a)]. given #17117 (H,wt=29): 19859 K((((T(x,y) \ 1) / z) * u) / (T(x,y) \ 1),w) = K((((x \ 1) / z) * u) * x,w). [hyper(62,a,17388,a(flip),b,19858,a)]. given #17118 (H,wt=27): 19860 K((((T(x,y) \ 1) / z) * u) * T(x,y),w) = K((((x \ 1) / z) * u) * x,w). [hyper(13647,a,19859,a)]. given #17119 (H,wt=26): 19861 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((u \ 1) / x) * y) * u,z). [hyper(62,a,19699,a,b,19860,a)]. given #17120 (H,wt=38): 19445 K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,z \ u)) \ w) != v6 | K(x,((y \ T(z,z \ u)) \ w) \ 1) = v6. [para(19442(a,1),8520(a,1,1,2))]. given #17121 (H,wt=38): 19536 K((x * (y * T(z,K(u,w)))) * (v5 * K(L(v6,z,y),v7)),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). [para(19534(a,1),19147(a,1,1,1,2)),flip(a)]. given #17122 (H,wt=38): 19778 a(x,y,K(z \ (((z / y) * u) * y),z)) * K(x,z \ (((z / y) * u) * y)) = K(x,y \ (z \ ((z * u) * y))). [hyper(16844,a,19777,a)]. given #17123 (H,wt=38): 19863 K((x * (y * T(z,K(u,w)))) * (v5 * K(v6,L(v7,z,y))),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). [para(11780(a,1),19536(a,1,1,2,2))]. given #17124 (H,wt=35): 19865 K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * T(z,K(v5,v6)))) * (v7 * K(u,w)),v8). [hyper(62,a,17799,a(flip),b,19863,a),flip(a)]. given #17125 (H,wt=31): 19867 K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * z)) * (v7 * K(u,w)),v8). [hyper(286,a,16796,a(flip),b,19865,a),flip(a)]. given #17126 (H,wt=27): 19868 K((x * (y * (z * K(u,w)))) * v5,v6) = K((x * (y * z)) * (v5 * K(u,w)),v6). [hyper(17912,a,19867,a)]. given #17127 (H,wt=25): 19870 K((x * (y * z)) * (u * K(z,w)),v5) = K((x * (y * T(z,w))) * u,v5). [para(4659(a,2),19868(a,1,1,1,2,2)),flip(a)]. given #17128 (H,wt=29): 19872 K((x * (y * z)) * T(u * K(z,w),v5),v6) = K((x * (y * T(z,w))) * T(u,v5),v6). [hyper(62,a,17005,a,b,19870,a)]. given #17129 (H,wt=31): 19871 K((x * K(y,z)) * (u * (w * y)),v5) = K((u * (w * T(y,z))) * x,T(v5,x * K(v6,v7))). [hyper(15788,a,19870,a)]. given #17130 (H,wt=31): 19873 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K((w * K(z,u)) * (x * (y * z)),v5). [para(108(a,1),19872(a,1,1)),flip(a)]. given #17131 (H,wt=31): 19874 K((x * (y * T(z,u))) * w,T(v5,w * K(v6,v7))) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(62,a,16980,a(flip),b,19871,a),flip(a)]. given #17132 (H,wt=27): 19876 K((x * (y * T(z,u))) * w,T(v5,w)) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(15779,a,19874,a)]. given #17133 (H,wt=25): 19877 K(x * (K(y,z) * (u * (w * y))),v5) = K(x * (u * (w * T(y,z))),v5). [hyper(12102,a,19876,a),flip(a)]. given #17134 (H,wt=31): 19875 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(286,a,16980,a(flip),b,19873,a),flip(a)]. given #17135 (H,wt=29): 19878 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (x * (y * T(z,u))),v5). [hyper(286,a,19877,a(flip),b,19875,a),flip(a)]. given #17136 (H,wt=25): 19879 K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * T(y,x))),v5). [hyper(62,a,17915,a(flip),b,19878,a)]. given #17137 (H,wt=25): 19880 K(x * (y * (z * ((u \ w) * u))),v5) = K(x * (y * (z * T(w,u))),v5). [hyper(62,a,17854,a(flip),b,19879,a)]. given #17138 (H,wt=29): 19881 K(x * (T(y,z * u) * (z * T(u,w))),v5) = K(x * ((z * ((w \ u) * w)) * y),v5). [hyper(17931,a,19880,a),flip(a)]. given #17139 (H,wt=25): 19882 K(x * ((y * ((z \ u) * z)) * w),v5) = K(x * ((y * T(u,z)) * w),v5). [hyper(17927,a,19881,a),flip(a)]. given #17140 (H,wt=27): 19883 K(x * ((T(y,z) * T(z,u)) * w),v5) = K(x * ((((u \ z) * u) * y) * w),v5). [hyper(17996,a,19882,a),flip(a)]. given #17141 (H,wt=25): 19884 K(x * ((((y \ z) * y) * u) * w),v5) = K(x * ((T(z,y) * u) * w),v5). [hyper(17995,a,19883,a),flip(a)]. given #17142 (H,wt=37): 19885 K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,z) * u) * w,v5)) = K(((((z \ y) * z) * u) * w) * x,v5). [para(19884(a,1),17659(a,1,1))]. given #17143 (H,wt=25): 19886 K(((((x \ y) * x) * z) * u) * w,v5) = K(((T(y,x) * z) * u) * w,v5). [hyper(62,a,16220,a(flip),b,19885,a),flip(a)]. given #17144 (H,wt=31): 19888 K(x,K(((T(y,z) * u) * w) * v5,w * (y * u))) = K(x,K((((z \ y) * z) * u) * w,v5)). [para(19886(a,1),17806(a,1,2))]. given #17145 (H,wt=31): 19889 K(x,K((((y \ z) * y) * u) * w,v5)) = K(x,K(w * (z * u),((T(z,y) * u) * w) * v5)). [hyper(8109,a,19888,a),flip(a)]. given #17146 (H,wt=29): 19890 K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K((T(z,w) * u) * y,v5)). [para(17657(a,1),19889(a,1,2)),flip(a)]. given #17147 (H,wt=27): 19891 K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K(v5,y * (z * u))). [hyper(286,a,15912,a(flip),b,19890,a),flip(a)]. given #17148 (H,wt=27): 19893 K(x,K(y * (z * u),(T(z,w) * u) * (y * v5))) = K(x,K(v5,y * (z * u))). [hyper(62,a,18986,a(flip),b,19891,a)]. given #17149 (H,wt=27): 19894 K(x,K(y * (z * u),T(z,w) * (u * (y * v5)))) = K(x,K(v5,y * (z * u))). [hyper(62,a,18986,a(flip),b,19893,a)]. given #17150 (H,wt=25): 19895 K(x,K(y * (z * u),z * (u * (y * w)))) = K(x,K(w,y * (z * u))). [hyper(15872,a,19894,a)]. given #17151 (H,wt=38): 19864 a(x,y,K(z,u \ (((u / y) * u) * y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(19768(a,1),19778(a,1,1,3))]. given #17152 (H,wt=32): 19896 a(x,y,K(z,T(u,y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(19685(a,1),19864(a,1,1,3))]. given #17153 (H,wt=30): 19897 a(x,y,K(z,u)) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(18018(a,1),19896(a,1,1))]. given #17154 (H,wt=32): 19898 a(x,y,K(z \ u,z)) * K(x,z \ (((z / y) * (z \ u)) * y)) = K(x,y \ (z \ (u * y))). [para(10(a,1),19897(a,2,2,2,2,1))]. given #17155 (H,wt=30): 19901 a(x,y,K(z,u)) * K(x,u \ (((u / y) * (u \ z)) * y)) = K(x,y \ (u \ (z * y))). [para(11984(a,1),19898(a,1,1))]. given #17156 (H,wt=26): 19902 a(x,y,K(z,u)) * K(x,(u * y) \ (z * y)) = K(x,y \ (u \ (z * y))). [para(19772(a,1),19901(a,1,2))]. given #17157 (H,wt=34): 19904 a(x,y \ 1,K(z,u)) * K(x,(u * (y \ 1)) \ (z * (y \ 1))) = K(x,y * (u \ (z * (y \ 1)))). [hyper(286,a,13500,a(flip),b,19902,a),flip(a)]. given #17158 (H,wt=32): 19905 a(x,y,K(z,u)) * K(z,(u * (y \ 1)) \ (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). [para(14474(a,1),19904(a,1,1))]. given #17159 (H,wt=32): 19906 a(x,y,K(z,u)) * K(z,(y * (u \ 1)) * (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). [para(13555(a,1),19905(a,1,2))]. given #17160 (H,wt=40): 19183 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K((x * z) * L(L(T(y,z),z,x),u,u \ 1),w). [para(210(a,1),19178(a,1,1,2,1)),flip(a)]. given #17161 (H,wt=37): 19907 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (z * L(T(y,z),u,u \ 1)),w). [para(434(a,1),19183(a,2,1))]. given #17162 (H,wt=35): 19908 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(214(a,1),19907(a,2,1,2))]. given #17163 (H,wt=32): 19909 K((x * (y * z)) * a(L(T(y,z),z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(210(a,1),19908(a,1,1,2,1))]. given #17164 (H,wt=30): 19910 K((x * (y * z)) * a(L(y,z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(14630(a,1),19909(a,1,1,2))]. given #17165 (H,wt=34): 19912 K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) = (v5 * K(y * (L(z,w,w \ 1) * u),x)) \ v5. [para(19910(a,1),6895(a,1,1,2)),flip(a)]. given #17166 (H,wt=30): 19914 K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) = K(x,y * (L(z,w,w \ 1) * u)). [hyper(286,a,15072,a(flip),b,19912,a),flip(a)]. given #17167 (H,wt=33): 19915 K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) != v5 | K(x,y * (L(z,w,w \ 1) * u)) = v5. [para(19912(a,2),6902(a,1))]. given #17168 (H,wt=38): 19911 K(((x * y) * z) * a(L(x,y,T(z,x * y)),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). [hyper(62,a,17631,a(flip),b,19910,a)]. given #17169 (H,wt=34): 19916 K(((x * y) * z) * a(L(x,y,z),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). [para(18148(a,1),19911(a,1,1,2))]. given #17170 (H,wt=38): 19917 K(T(x,y * z) * (L(y,u \ 1,(u \ 1) \ 1) * z),w) = K(((y * z) * x) * a(L(y,z,x),u \ 1,u),w). [para(3513(a,1),19916(a,1,1,2)),flip(a)]. given #17171 (H,wt=34): 19919 K(((x * y) * z) * a(L(x,y,z),u \ 1,u),w) = K(T(z,x * y) * (L(x,u \ 1,u) * y),w). [para(3011(a,1),19917(a,1,1,2,1)),flip(a)]. given #17172 (H,wt=40): 19315 a(x / y,y * K(z,u),K(u,z)) * ((x / y) * ((y * K(z,u)) * K(u,z))) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(62,a,17178,a,b,19281,a)]. given #17173 (H,wt=36): 19921 a(x / y,y,K(z,u)) * ((x / y) * ((y * K(u,z)) * K(z,u))) = K(z,u) * (y * ((K(z,u) * y) \ x)). [para(10260(a,1),19315(a,1,1))]. given #17174 (H,wt=36): 19923 a(x \ y,x,K(z,u)) * ((y / x) * ((x * K(u,z)) * K(z,u))) = K(z,u) * (x * ((K(z,u) * x) \ y)). [para(18036(a,2),19921(a,1,1))]. given #17175 (H,wt=28): 19924 K(x,y) * (z * ((K(x,y) * z) \ u)) = a(z \ u,z,K(x,y)) * ((u / z) * z). [para(6883(a,1),19923(a,1,2,2)),flip(a)]. given #17176 (H,wt=24): 19925 K(x,y) * (z * ((K(x,y) * z) \ u)) = a(z \ u,z,K(x,y)) * u. [para(12(a,1),19924(a,2,2))]. given #17177 (H,wt=24): 19926 K(x,y) * (z * ((K(x,y) * z) \ u)) = u * a(x,z,K(u \ z,y)). [hyper(16843,a,19925,a(flip)),flip(a)]. given #17178 (H,wt=40): 19387 K(x,L(T(y \ (z * (u \ K(w,v5))),1),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [para(13627(a,1),19370(a,1,2,3))]. given #17179 (H,wt=38): 19928 K(x,L(y \ (z * (u \ K(w,v5))),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [para(251(a,1),19387(a,1,2,1))]. given #17180 (H,wt=36): 19929 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ (K(v5,w) * u))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [hyper(62,a,18043,a(flip),b,19928,a)]. given #17181 (H,wt=32): 19930 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [hyper(62,a,19208,a(flip),b,19929,a)]. given #17182 (H,wt=28): 19931 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,y \ (z * (u \ K(w,v5)))). [hyper(286,a,13733,a(flip),b,19930,a),flip(a)]. given #17183 (H,wt=30): 19933 K(x,((y * (z \ 1)) \ u) \ K(w,L(v5,z,y \ 1))) = K(x,u \ (y * (z \ K(w,v5)))). [hyper(62,a,18822,a(flip),b,19931,a)]. given #17184 (H,wt=25): 19934 K(x,((y * (z \ 1)) \ u) \ K(w,v5)) = K(x,u \ (y * (z \ K(w,v5)))). [hyper(17279,a,19933,a)]. given #17185 (H,wt=40): 19407 L(x,y,K(z,u)) * ((K(w,v5) * y) * T(K(z,u),K(v5,w) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(19403(a,1),18409(a,1,1))]. given #17186 (H,wt=36): 19935 L(x,y,K(z,u)) * ((K(w,v5) * y) * K(z,T(u,y))) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(15741(a,1),19407(a,1,2,2))]. given #17187 (H,wt=34): 19938 L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(16767(a,1),19935(a,1,2))]. given #17188 (H,wt=30): 19939 L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,y)). [para(15737(a,1),19938(a,2,2))]. given #17189 (H,wt=40): 19409 K(x,L((T(y,z) * u) \ ((T(w,v5) * v6) * v7),(w * v6) * v7,y \ 1)) = K(x,u \ (T(y,z) \ ((T(w,v5) * v6) * v7))). [hyper(62,a,18444,a(flip),b,19359,a),flip(a)]. given #17190 (H,wt=36): 19941 K(x,L((y * z) \ ((y * u) * z),(y * u) * z,y \ 1)) = K(x,z \ (T(y,w) \ ((T(y,w) * u) * z))). [hyper(62,a,19687,a(flip),b,19409,a)]. given #17191 (H,wt=30): 19942 K(x,y \ (T(z,u) \ ((T(z,u) * w) * y))) != v5 | K(x,y \ (z \ ((z * w) * y))) = v5. [para(19941(a,1),18443(a,1))]. given #17192 (H,wt=40): 19421 (x * (L(y,z,K(u,w)) \ L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). [para(19408(a,1),18406(a,1,1,2))]. given #17193 (H,wt=28): 19943 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = (x * 1) * a(x,y \ 1,y). [para(65(a,1),19421(a,1,1,2)),flip(a)]. given #17194 (H,wt=24): 19944 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,y \ 1,y). [hyper(286,a,6336,a(flip),b,19943,a),flip(a)]. given #17195 (H,wt=23): 19946 R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = R(x,y \ 1,y). [hyper(62,a,18710,a(flip),b,19944,a)]. given #17196 (H,wt=25): 19948 (K(x,y) / (z * u)) * L(z,u,K(y,x)) = R(K(x,y) / u,z \ 1,z). [hyper(62,a,18816,a(flip),b,19946,a)]. given #17197 (H,wt=21): 19950 R(K(x,y) / z,u \ 1,u) = K(x,y) / L(z,u,u \ 1). [hyper(62,a,18511,a(flip),b,19948,a),flip(a)]. given #17198 (H,wt=23): 19951 R(K(x,T(y,z)) / z,u \ 1,u) = L(z,u,u \ 1) \ K(x,y). [hyper(16721,a,19950,a(flip)),flip(a)]. given #17199 (H,wt=21): 19952 R(x \ K(y,z),u \ 1,u) = L(x,u,u \ 1) \ K(y,z). [para(12179(a,1),19951(a,1,1))]. given #17200 (H,wt=29): 19953 L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,(u \ 1) \ 1) \ K(y,z). [hyper(62,a,6671,a(flip),b,19952,a)]. given #17201 (H,wt=25): 19955 L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,u) \ K(y,z). [para(3011(a,1),19953(a,2,1))]. given #17202 (H,wt=23): 19956 L(K(x,y) * z,u \ 1,u) \ 1 = L(z,u \ 1,u) \ K(y,x). [para(13620(a,1),19955(a,1,1,1))]. given #17203 (H,wt=23): 19957 R((K(x,y) * z) \ 1,u,u \ 1) = L(z,u \ 1,u) \ K(y,x). [hyper(7188,a,19956,a)]. given #17204 (H,wt=21): 19958 R(x \ K(y,z),u,u \ 1) = L(x,u \ 1,u) \ K(y,z). [para(13570(a,1),19957(a,1,1))]. given #17205 (H,wt=23): 19959 x * R(x \ K(y,z),u,u \ 1) = a(u,u \ 1,x) * K(y,z). [para(19958(a,2),14645(a,1,2))]. given #17206 (H,wt=35): 19960 (K(x,y) * z) \ (z * (a(u,u \ 1,w) * K(x,T(y,z)))) = a(u,u \ 1,z \ ((K(y,x) * z) * w)). [para(19959(a,1),18896(a,1,2,2))]. given #17207 (H,wt=35): 19961 x \ ((K(y,z) * x) * (a(u,u \ 1,w) * K(z,T(y,x)))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [hyper(62,a,18866,a(flip),b,19960,a)]. given #17208 (H,wt=33): 19962 x \ ((x * K(y,z)) * (a(u,u \ 1,w) * K(z,y))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [para(15714(a,1),19961(a,1,2))]. given #17209 (H,wt=33): 19963 (x \ ((x * K(y,z)) * a(u,u \ 1,w))) * K(z,y) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [hyper(62,a,19835,a(flip),b,19962,a)]. given #17210 (H,wt=30): 19964 L(T(a(x,x \ 1,y),K(z,u)),K(z,u),w) = a(x,x \ 1,w \ ((K(u,z) * w) * y)). [hyper(62,a,19636,a(flip),b,19963,a)]. given #17211 (H,wt=26): 19965 a(x,x \ 1,y \ ((K(z,u) * y) * w)) = L(a(x,x \ 1,w),K(u,z),y). [para(10761(a,1),19964(a,1,1)),flip(a)]. given #17212 (H,wt=26): 19966 a(x,x \ 1,y \ ((K(z,u) * y) * w)) = a(x,x \ 1,L(w,K(u,z),y)). [hyper(286,a,11253,a,b,19965,a),flip(a)]. given #17213 (H,wt=41): 19465 K(x * ((y \ z) * K(u,w)),K(v5,v6)) * K(v6,(x * (y \ (z * K(u,w)))) * v5) = K(v6,v5 * (x * (y \ (z * K(u,w))))). [para(19462(a,1),12191(a,1,1))]. given #17214 (H,wt=41): 19693 K(x,(T(y,z) * ((u \ 1) \ K(K(w,v5),v6))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(v6,K(w,v5))) \ (v7 * (y \ 1))). [hyper(62,a,18010,a(flip),b,19692,a),flip(a)]. given #17215 (H,wt=41): 19968 K(x,K(y,z * ((u \ w) * K(v5,v6)))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(8060(a,2),19465(a,1,1))]. given #17216 (H,wt=37): 19970 K(x,K(y,z * (u \ w))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(15809(a,1),19968(a,1,1))]. given #17217 (H,wt=37): 19972 K(x,K(y,z * (u \ w))) * K(y,K(v5,v6) * ((z * (u \ w)) * x)) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(19666(a,1),19970(a,1,2))]. given #17218 (H,wt=27): 19973 K(x,y * ((z * (u \ w)) * K(v5,v6))) = K(x,y * (z * (u \ (w * K(v6,v5))))). [hyper(62,a,17151,a(flip),b,19972,a)]. given #17219 (H,wt=27): 19974 K(x,y * (z * (u \ (w * K(v5,v6))))) = K(x,y * (z * ((u \ w) * K(v6,v5)))). [hyper(17286,a,19973,a),flip(a)]. given #17220 (H,wt=25): 19975 K(x,y * (z * ((u \ w) * K(v5,w)))) = K(x,y * (z * (u \ T(w,v5)))). [para(4659(a,2),19974(a,1,2,2,2,2)),flip(a)]. given #17221 (H,wt=25): 19976 K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ T(u,z)))). [hyper(17290,a,19975,a)]. given #17222 (H,wt=25): 19978 K(x,y * (z * (u \ (w * (v5 / w))))) = K(x,y * (z * (u \ T(v5,w)))). [hyper(62,a,18603,a(flip),b,19976,a)]. given #17223 (H,wt=29): 19977 K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ T(w * v5,w)))). [para(18390(a,1),19975(a,1,2,2,2))]. given #17224 (H,wt=30): 19979 K(x,y * (z * (u \ (w * ((L(w,v5,w) * v5) / w))))) = K(x,y * (z * (u \ (v5 * w)))). [para(4024(a,1),19978(a,2,2,2,2,2))]. given #17225 (H,wt=30): 19980 K(x,y * (z * (u \ (w * ((w * v5) / R(w,v5,w)))))) = K(x,y * (z * (u \ (v5 * w)))). [para(18256(a,1),19979(a,1,2,2,2,2,2))]. given #17226 (H,wt=29): 19981 K(x,y * (z * (u \ (w * (v5 * K(w,w * v5)))))) = K(x,y * (z * (u \ (v5 * w)))). [para(7105(a,1),19980(a,1,2,2,2,2,2))]. given #17227 (H,wt=27): 19982 K(x,y * (z * (u \ (T(w,v5 * w) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). [para(12067(a,1),19981(a,1,2,2,2,2))]. given #17228 (H,wt=27): 19983 K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). [para(3989(a,1),19982(a,1,2,2,2,2,1))]. given #17229 (H,wt=25): 19984 K(x,y * (z * (u \ T(w * v5,w)))) = K(x,y * (z * (u \ (v5 * w)))). [hyper(62,a,19977,a(flip),b,19983,a)]. given #17230 (H,wt=31): 19985 K(x,y * (T(z,u \ (w * v5)) * (u \ (w * v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). [hyper(62,a,14831,a(flip),b,19984,a),flip(a)]. given #17231 (H,wt=25): 19986 K(x,y * ((z \ T(u * w,u)) * v5)) = K(x,y * ((z \ (w * u)) * v5)). [hyper(62,a,14830,a(flip),b,19985,a),flip(a)]. given #17232 (H,wt=41): 19969 K(x,(T(y,z) * ((u \ 1) \ K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(8076(a,1),19693(a,1,2,1,2,2))]. given #17233 (H,wt=39): 19987 K(x,(T(y,z) * (u * K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(13487(a,1),19969(a,1,2,1,2))]. given #17234 (H,wt=39): 19988 K(x,(T(y,z) * u) * (K(w,K(v5,v6)) * (v7 * T(y \ 1,z)))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(16831(a,1),19987(a,1,2))]. given #17235 (H,wt=33): 19989 K(x,((y * z) \ K(u,K(w,v5))) \ (v6 * (y \ 1))) = K(x,(T(y,v7) * z) * (v6 * T(y \ 1,v7))). [hyper(16816,a,19988,a),flip(a)]. given #17236 (H,wt=33): 19991 K(x,K(y,K(z,u)) * ((w * v5) * (v6 * (w \ 1)))) = K(x,(T(w,v7) * v5) * (v6 * T(w \ 1,v7))). [hyper(62,a,18340,a(flip),b,19989,a)]. given #17237 (H,wt=27): 19992 K(x,(T(y,z) * u) * (w * T(y \ 1,z))) = K(x,(y * u) * (w * (y \ 1))). [hyper(15391,a,19991,a),flip(a)]. given #17238 (H,wt=42): 19954 ((((x \ 1) \ 1) * (x \ 1)) \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). [para(6396(a,2),19952(a,2,1)),flip(a)]. given #17239 (H,wt=34): 19993 (1 \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). [para(4888(a,1),19954(a,1,1,1))]. given #17240 (H,wt=30): 19995 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (1 \ (u * ((x * u) \ 1))) \ K(y,z). [para(4893(a,1),19993(a,1,1,2,1)),flip(a)]. given #17241 (H,wt=28): 19996 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (u * ((x * u) \ 1)) \ K(y,z). [para(64(a,1),19995(a,2,1))]. given #17242 (H,wt=28): 19997 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = ((x * u) * (u \ 1)) * K(y,z). [hyper(286,a,13513,a(flip),b,19996,a),flip(a)]. given #17243 (H,wt=27): 19998 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). [para(458(a,1),19997(a,2,1))]. given #17244 (H,wt=25): 19999 R(x * K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). [para(13487(a,1),19998(a,1,1))]. given #17245 (H,wt=21): 20000 R(x * K(y,z),u,u \ 1) = R(x,u,u \ 1) * K(y,z). [hyper(62,a,6685,a(flip),b,19999,a)]. given #17246 (H,wt=25): 20001 (K(x,y) * z) \ T(R(z * K(x,y),u,u \ 1),z) = a(z,u,u \ 1). [para(20000(a,2),18147(a,1,2,1))]. given #17247 (H,wt=25): 20002 (K(x,y) * z) \ R(T(z * K(x,y),z),u,u \ 1) = a(z,u,u \ 1). [para(27(a,2),20001(a,1,2))]. given #17248 (H,wt=23): 20003 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(15664(a,1),20002(a,1,2,1))]. given #17249 (H,wt=17): 20004 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(720,a,20003,a)]. given #17250 (H,wt=17): 20006 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(62,a,17938,a(flip),b,20004,a)]. given #17251 (H,wt=19): 20005 a(x \ T(y,z),u,u \ 1) = a(x \ y,u,u \ 1). [hyper(62,a,17940,a(flip),b,20004,a)]. given #17252 (H,wt=19): 20007 a(T(x,y) \ z,u,u \ 1) = a(x \ z,u,u \ 1). [para(5715(a,1),20004(a,1,1)),flip(a)]. given #17253 (H,wt=21): 20009 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(14613(a,1),20006(a,1,1))]. given #17254 (H,wt=23): 20008 a(L(K(x,y) * z,y,x),u,u \ 1) = a(L(z,y,x),u,u \ 1). [para(11437(a,2),20004(a,1,1))]. given #17255 (H,wt=23): 20012 a(x \ (y * T(z,u)),w,w \ 1) = a(x \ (y * z),w,w \ 1). [para(1271(a,1),20009(a,1,1,2))]. given #17256 (H,wt=25): 20011 (T(x,y) / y) * a(y \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). [para(20007(a,1),14634(a,1,2))]. given #17257 (H,wt=25): 20013 a(x \ (y * (z * K(u,w))),v5,v5 \ 1) = a(x \ (y * z),v5,v5 \ 1). [para(11753(a,1),20009(a,1,1,2))]. given #17258 (H,wt=31): 20010 a(x \ ((K(y,z) * u) * T(w,u)),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). [para(16893(a,1),20005(a,1,1,2))]. given #17259 (H,wt=29): 20016 a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). [hyper(62,a,20012,a(flip),b,20010,a)]. given #17260 (H,wt=25): 20017 a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(286,a,20013,a(flip),b,20016,a),flip(a)]. given #17261 (H,wt=24): 20020 a((x * y) \ (y * (x * z)),u,u \ 1) = a(R(z,x,y),u,u \ 1). [hyper(62,a,14659,a(flip),b,20017,a),flip(a)]. given #17262 (H,wt=23): 20023 a(L(K(x,y) * z,y,x),u,u \ 1) = a(R(z,y,x),u,u \ 1). [para(11424(a,1),20020(a,1,1))]. given #17263 (H,wt=19): 20024 a(R(x,y,z),u,u \ 1) = a(L(x,y,z),u,u \ 1). [hyper(62,a,20008,a(flip),b,20023,a),flip(a)]. given #17264 (H,wt=23): 20025 a(L(x,y,z),u \ 1,(u \ 1) \ 1) = a(R(x,y,z),u \ 1,u). [hyper(12414,a,20024,a),flip(a)]. given #17265 (H,wt=19): 20026 a(R(x,y,z),u \ 1,u) = a(L(x,y,z),u \ 1,u). [hyper(12414,a,20025,a),flip(a)]. given #17266 (H,wt=25): 20027 a(L(x,y \ 1,z \ 1),u \ 1,u) = a(u \ 1,u,L(x \ 1,y,z)). [hyper(12418,a,20026,a),flip(a)]. given #17267 (H,wt=23): 20028 a(x \ 1,x,R(y \ 1,z,u)) = a(x \ 1,x,L(y \ 1,z,u)). [hyper(12419,a,20027,a)]. given #17268 (H,wt=31): 20029 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,L(x \ 1,z,u)). [hyper(62,a,12445,a,b,20028,a)]. given #17269 (H,wt=29): 20030 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [hyper(286,a,11257,a(flip),b,20029,a),flip(a)]. given #17270 (H,wt=25): 20031 R((L(x \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(4893(a,1),20030(a,1,1,1,1,1,1))]. given #17271 (H,wt=25): 20032 R((x * L(x \ 1,y,y \ 1)) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(4910(a,1),20031(a,1,1,1))]. given #17272 (H,wt=23): 20033 R((a(x,y \ 1,y) \ 1) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(12340(a,1),20032(a,1,1,1))]. given #17273 (H,wt=19): 20034 R(a(x,y \ 1,y),z,u) = L(a(x,y \ 1,y),z,u). [para(4893(a,1),20033(a,1,1))]. given #17274 (H,wt=23): 20035 L(a(x,(y \ 1) \ 1,y \ 1),z,u) = R(a(x,y,y \ 1),z,u). [para(4893(a,1),20034(a,1,1,2)),flip(a)]. given #17275 (H,wt=19): 20036 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [para(4893(a,1),20035(a,1,1,2)),flip(a)]. given #17276 (H,wt=24): 20037 (x * y) * L(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. [para(20036(a,1),12310(a,1,2))]. given #17277 (H,wt=24): 20038 L(a(x,y,y \ 1),z,u) * (z * u) = (z * a(x,y,y \ 1)) * u. [hyper(10765,a,20037,a)]. given #17278 (H,wt=27): 20039 ((x * (y * a(z,u,u \ 1))) / y) \ ((y * a(z,u,u \ 1)) * x) = T(y,x). [para(20038(a,1),10773(a,1,2))]. given #17279 (H,wt=16): 20040 x * K(x * a(y,z,z \ 1),u) = T(x,u). [hyper(13891,a,20039,a)]. given #17280 (H,wt=16): 20041 K(x,y * a(z,u,u \ 1)) = T(y,x) \ y. [para(20040(a,1),6895(a,1,1)),flip(a)]. given #17281 (H,wt=14): 20042 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(286,a,4603,a,b,20041,a),flip(a)]. given #17282 (H,wt=14): 20044 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(16674,a,20042,a)]. given #17283 (H,wt=14): 20045 K(x,y * a(z \ 1,z,u)) = K(x,y). [para(14697(a,1),20042(a,1,2,2))]. given #17284 (H,wt=14): 20046 K(x,a(y,z,z \ 1) \ u) = K(x,u). [para(10(a,1),20044(a,1,2)),flip(a)]. given #17285 (H,wt=16): 20048 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(62,a,19527,a(flip),b,20046,a)]. given #17286 (H,wt=17): 20051 K(x,(y * (z \ 1)) * u) = K(x,(z / y) \ u). [hyper(62,a,19521,a(flip),b,20048,a)]. given #17287 (H,wt=17): 20053 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(62,a,18537,a(flip),b,20048,a),flip(a)]. given #17288 (H,wt=17): 20056 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [para(4914(a,1),20048(a,1,2,1))]. given #17289 (H,wt=17): 20061 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [hyper(62,a,6207,a(flip),b,20053,a),flip(a)]. given #17290 (H,wt=17): 20063 K(x,((y \ 1) * z) * u) = K(x,(z \ y) \ u). [hyper(13752,a,20056,a)]. given #17291 (H,wt=20): 20043 K(x,y * (L(z,u,u \ 1) * w)) = K(x,y * (z * w)). [hyper(19915,a,20042,a)]. given #17292 (H,wt=21): 20047 K(x,a(y,z,z \ 1) \ u) = K(x,u * a(w \ 1,w,v5)). [hyper(286,a,20045,a,b,20046,a),flip(a)]. given #17293 (H,wt=21): 20052 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18834,a(flip),b,20048,a),flip(a)]. given #17294 (H,wt=22): 20050 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z / T(y,z)) \ w). [hyper(286,a,18326,a,b,20048,a),flip(a)]. given #17295 (H,wt=25): 20066 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5 \ 1,v5,v6)). [hyper(17719,a,20047,a)]. given #17296 (H,wt=25): 20069 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5,v6 \ 1,v6)). [para(6528(a,1),20066(a,2,2,2))]. given #17297 (H,wt=23): 20070 K(x,y * a(z,u \ 1,u)) = K(x,y * (w \ L(w,v5 \ 1,v5))). [hyper(17285,a,20069,a),flip(a)]. given #17298 (H,wt=21): 20071 K(x,a(y,y \ 1,z) \ u) = K(x,u * a(w,v5 \ 1,v5)). [hyper(286,a,16927,a(flip),b,20070,a)]. given #17299 (H,wt=28): 20057 K(x,y / L(z / u,w,w \ 1)) = K(x,(z / u) \ y) * K(x,K(y,u * z)). [para(20048(a,1),18901(a,1,1)),flip(a)]. given #17300 (H,wt=28): 20059 K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) = K(x,((z \ 1) / y) * u). [hyper(19103,a,20053,a),flip(a)]. given #17301 (H,wt=24): 20074 K(x,((y * z) \ u) * a(w,v5 \ 1,v5)) = K(x,((z \ 1) / y) * u). [hyper(62,a,20071,a(flip),b,20059,a)]. given #17302 (H,wt=17): 20075 K(x,((y \ 1) / z) * u) = K(x,(z * y) \ u). [hyper(17282,a,20074,a),flip(a)]. given #17303 (H,wt=17): 20078 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(4893(a,1),20075(a,1,2,1,1)),flip(a)]. given #17304 (H,wt=17): 20079 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(13751,a,20078,a)]. given #17305 (H,wt=15): 20081 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(62,a,20051,a(flip),b,20079,a)]. given #17306 (H,wt=18): 20083 K(x,(y / z) \ x) != u | K(x,x * (z / y)) = u. [para(20081(a,2),8979(a,1))]. given #17307 (H,wt=20): 20077 K(x,((y \ 1) / z) * u) != w | K(x,(z * y) \ u) = w. [para(20074(a,1),13114(a,1))]. given #17308 (H,wt=22): 20082 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(T(y,z) / z) * w). [hyper(62,a,20050,a,b,20081,a)]. given #17309 (H,wt=20): 20085 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z \ y) * w). [hyper(286,a,17127,a(flip),b,20082,a),flip(a)]. given #17310 (H,wt=15): 20086 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(62,a,20048,a(flip),b,20085,a)]. given #17311 (H,wt=17): 20087 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [para(4914(a,1),20085(a,1,2,1))]. given #17312 (H,wt=20): 20088 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(y \ z) * u). [hyper(62,a,18239,a,b,20086,a)]. given #17313 (H,wt=23): 20089 K(x,(((y \ 1) * z) * u) \ w) = K(x,(u \ ((z \ 1) * y)) * w). [para(6404(a,1),20087(a,1,2,1,1))]. given #17314 (H,wt=23): 20090 K(x,K(y,z \ (u * w)) * v5) = K(x,K(y,(z \ u) * w) * v5). [para(20088(a,1),17041(a,1,2,1)),flip(a)]. given #17315 (H,wt=23): 20091 K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,(w \ z) * u) * v5). [hyper(14793,a,20090,a)]. given #17316 (H,wt=25): 20092 K(x,K(y,(z \ (u \ 1)) * w) * v5) = K(x,K(y,(w \ u) * z) * v5). [para(20087(a,1),20091(a,1,2,1)),flip(a)]. given #17317 (H,wt=25): 20093 K(x,K(y,z * (u \ (w \ 1))) * v5) = K(x,K(y,(z \ w) * u) * v5). [hyper(16110,a,20092,a)]. given #17318 (H,wt=28): 20084 K(x,y / L(z / u,w,w \ 1)) = K(x,(u / z) * y) * K(x,K(y,u * z)). [para(20081(a,1),20057(a,2,1))]. given #17319 (H,wt=20): 20095 K(x,y / L(z / u,w,w \ 1)) = K(x,y * (u / z)). [hyper(286,a,15508,a(flip),b,20084,a),flip(a)]. given #17320 (H,wt=15): 20096 K(x,y / (z / u)) = K(x,y * (u / z)). [para(338(a,1),20095(a,1,2,2))]. given #17321 (H,wt=31): 20062 K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) != w | K(x,((z \ 1) / y) * u) = w. [para(20053(a,1),19103(a,1))]. given #17322 (H,wt=33): 20094 K(x,K((y / (z \ 1)) * u,((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [hyper(62,a,14063,a(flip),b,20093,a),flip(a)]. given #17323 (H,wt=35): 20015 a(((((K(x,y) \ 1) * z) * u) / w) \ 1,v5,v5 \ 1) = a((w \ 1) \ ((u \ 1) * (z \ 1)),v5,v5 \ 1). [para(6502(a,1),20013(a,1,1))]. given #17324 (H,wt=33): 20097 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a((((K(w,v5) * z) * y) / x) \ 1,u,u \ 1). [para(4082(a,1),20015(a,1,1,1,1,1,1)),flip(a)]. given #17325 (H,wt=31): 20098 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,((K(w,v5) * z) * y) / x). [hyper(286,a,6999,a(flip),b,20097,a),flip(a)]. given #17326 (H,wt=31): 20099 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * z) * y)). [hyper(286,a,13904,a,b,20098,a),flip(a)]. given #17327 (H,wt=29): 20100 a((x \ 1) \ ((y * z) \ 1),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * y) * z)). [para(6394(a,1),20099(a,1,1,2))]. given #17328 (H,wt=27): 20101 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(((w * v5) / y) \ 1,x,x \ 1). [para(6431(a,1),20100(a,1,1)),flip(a)]. given #17329 (H,wt=25): 20102 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,(w * v5) / y). [hyper(286,a,6999,a(flip),b,20101,a),flip(a)]. given #17330 (H,wt=25): 20103 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,y \ (w * v5)). [hyper(286,a,13904,a,b,20102,a),flip(a)]. given #17331 (H,wt=22): 20104 a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,w \ (w * y)). [hyper(62,a,19966,a(flip),b,20103,a)]. given #17332 (H,wt=18): 20106 a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,y). [para(9(a,1),20104(a,2,3))]. given #17333 (H,wt=27): 20107 a(x,x \ 1,y \ 1) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. [para(20106(a,1),17213(a,1,1))]. given #17334 (H,wt=25): 20108 (a(x,y,y \ 1) * K(z,u)) * w = a(x,y,y \ 1) * (K(z,u) * w). [para(7002(a,1),20107(a,1,1)),flip(a)]. given #17335 (H,wt=33): 20110 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,a(y,z,z \ 1),x)). [para(20108(a,1),14705(a,1,2))]. given #17336 (H,wt=15): 20111 K(x,L(y,a(z,u,u \ 1),w)) = K(x,y). [hyper(62,a,14666,a(flip),b,20110,a),flip(a)]. given #17337 (H,wt=15): 20118 K(x,L(y,a(z \ 1,z,u),w)) = K(x,y). [para(14697(a,1),20111(a,1,2,2))]. given #17338 (H,wt=25): 20116 K(x,(y * a(z,u,u \ 1)) \ w) = K(x,a(z,u,u \ 1) \ (y \ w)). [hyper(62,a,14605,a(flip),b,20111,a),flip(a)]. given #17339 (H,wt=18): 20120 K(x,(y * a(z,u,u \ 1)) \ w) = K(x,y \ w). [hyper(286,a,20046,a(flip),b,20116,a),flip(a)]. given #17340 (H,wt=27): 20119 K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,a(z \ 1,z,u) \ (y / v5)). [hyper(62,a,19714,a(flip),b,20118,a)]. given #17341 (H,wt=27): 20123 K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,(y / v5) * a(u,z,z \ 1)). [hyper(286,a,19184,a(flip),b,20119,a),flip(a)]. given #17342 (H,wt=25): 20124 K(x,y / (a(z \ 1,z,u) * w)) = K(x,(y / w) * a(u,z,z \ 1)). [para(107(a,1),20123(a,1,2,2,1))]. given #17343 (H,wt=24): 20125 K(x,((y \ ((y \ 1) \ z)) / u) * a(z,y,y \ 1)) = K(x,z / u). [hyper(62,a,19063,a(flip),b,20124,a),flip(a)]. given #17344 (H,wt=17): 20126 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / u). [hyper(62,a,20042,a(flip),b,20125,a)]. given #17345 (H,wt=16): 20127 K(x,y / L(z,u,u \ 1)) = K(x,y / z). [hyper(18637,a,20126,a)]. given #17346 (H,wt=16): 20130 K(x,y / R(z,u,u \ 1)) = K(x,y / z). [hyper(62,a,19525,a,b,20127,a)]. given #17347 (H,wt=17): 20133 K(x,y / (z * (u \ 1))) = K(x,y / (z / u)). [para(560(a,1),20130(a,1,2,2))]. given #17348 (H,wt=17): 20134 K(x,y / (z * (u \ 1))) = K(x,y * (u / z)). [hyper(286,a,20096,a(flip),b,20133,a),flip(a)]. given #17349 (H,wt=17): 20136 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(13757,a,20134,a)]. given #17350 (H,wt=43): 19311 K(x * (((x \ 1) / (y * (y \ z))) * y),T(u,(y \ (x \ 1)) * y) \ 1) = K(((y \ (x \ 1)) * z) / ((y \ (x \ 1)) * y),u). [hyper(286,a,11784,a(flip),b,19286,a),flip(a)]. given #17351 (H,wt=39): 20137 K(x * (((x \ 1) / y) * z),T(u,(z \ (x \ 1)) * z) \ 1) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). [para(10(a,1),19311(a,1,1,2,1,2))]. given #17352 (H,wt=37): 20139 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u,T(y \ 1,x)) \ 1). [para(12110(a,1),20137(a,1,2,1)),flip(a)]. given #17353 (H,wt=37): 20140 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,T(y \ 1,x))). [hyper(286,a,7968,a,b,20139,a),flip(a)]. given #17354 (H,wt=35): 20141 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y \ 1)). [hyper(286,a,15077,a(flip),b,20140,a),flip(a)]. given #17355 (H,wt=33): 20143 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y)). [hyper(286,a,8423,a(flip),b,20141,a),flip(a)]. given #17356 (H,wt=31): 20144 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(286,a,12087,a(flip),b,20143,a),flip(a)]. given #17357 (H,wt=29): 20145 K(((x \ (y \ 1)) * z) / T(y \ 1,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(18370,a,20144,a)]. given #17358 (H,wt=27): 20146 K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(62,a,16064,a(flip),b,20145,a)]. given #17359 (H,wt=43): 19733 K(x,y / (z / (T(u,w \ 1) * (K(w,v5 \ 1) * T(w \ 1,v5))))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(19713(a,1),18776(a,1,2,2,2))]. given #17360 (H,wt=43): 19744 K((((((x \ 1) * ((x \ 1) \ y)) \ 1) * (x \ 1)) * z) * u,w) = K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w). [para(10660(a,1),19742(a,2,1,1,1,2,1))]. given #17361 (H,wt=35): 20148 K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((y \ 1) * (x \ 1)) * z) * u,w). [para(10(a,1),19744(a,1,1,1,1,1,1)),flip(a)]. given #17362 (H,wt=33): 20150 K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(6394(a,1),20148(a,2,1,1,1))]. given #17363 (H,wt=31): 20151 K((((x \ 1) * (y \ K(x,y \ (x \ 1)))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(13851(a,1),20150(a,1,1,1,1,2))]. given #17364 (H,wt=29): 20152 K((((x \ 1) * (x * ((y \ 1) / x))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(9272(a,1),20151(a,1,1,1,1,2))]. given #17365 (H,wt=28): 20153 K((L((x \ 1) / y,y,y \ 1) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). [para(4913(a,1),20152(a,1,1,1,1))]. given #17366 (H,wt=27): 20154 K((T((x \ 1) * (y \ 1),x) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [hyper(62,a,18614,a(flip),b,20153,a)]. given #17367 (H,wt=25): 20155 K((T((x * y) \ 1,y) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). [para(6394(a,1),20154(a,1,1,1,1,1))]. given #17368 (H,wt=27): 20156 K((((x * y) \ 1) * z) * u,T(w,u)) = K(u * (T((y * x) \ 1,x) * z),w). [hyper(12102,a,20155,a),flip(a)]. given #17369 (H,wt=25): 20157 K(x * (T((y * z) \ 1,z) * u),w) = K(x * (((z * y) \ 1) * u),w). [hyper(12102,a,20156,a),flip(a)]. given #17370 (H,wt=25): 20158 K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((z * y) \ 1) * u),w). [hyper(62,a,19662,a(flip),b,20157,a)]. given #17371 (H,wt=39): 20159 K(x * (T(((y * z) * ((y * z) \ z)) \ 1,y * z) * u),w) = K(x * (((z * K(y,z \ (y \ 1))) \ 1) * u),w). [para(13944(a,1),20158(a,2,1,2,1,1))]. given #17372 (H,wt=31): 20160 K(x * (((y * K(z,y \ (z \ 1))) \ 1) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(10(a,1),20159(a,1,1,2,1,1,1)),flip(a)]. given #17373 (H,wt=29): 20162 K(x * ((K(y \ (z \ 1),z) / y) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(13591(a,1),20160(a,1,1,2,1))]. given #17374 (H,wt=29): 20163 K(x * ((K(y * z,y \ 1) / z) * u),w) = K(x * (T(z \ 1,y * z) * u),w). [para(13530(a,1),20162(a,1,1,2,1,1))]. given #17375 (H,wt=29): 20164 K(x * ((y \ K(y * z,z \ 1)) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(12180(a,2),20163(a,1,1,2,1))]. given #17376 (H,wt=27): 20165 K(x * (T(y \ 1,z * y) * u),w) = K(x * (((z \ (y \ 1)) * z) * u),w). [para(6463(a,1),20164(a,1,1,2,1)),flip(a)]. given #17377 (H,wt=25): 20166 K(x * (T(y \ 1,z * y) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(286,a,17661,a(flip),b,20165,a),flip(a)]. given #17378 (H,wt=27): 20167 K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,z * (y \ 1)) * u),w). [para(4893(a,1),20166(a,1,1,2,1,1)),flip(a)]. given #17379 (H,wt=25): 20168 K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,y \ z) * u),w). [hyper(286,a,15487,a(flip),b,20167,a),flip(a)]. given #17380 (H,wt=21): 20169 K(x * (T(y,y \ z) * u),w) = K(x * (T(y,z) * u),w). [para(4893(a,1),20168(a,1,1,2,1,1)),flip(a)]. given #17381 (H,wt=21): 20170 K(x * (((y \ z) \ z) * u),w) = K(x * (T(y,z) * u),w). [hyper(62,a,15470,a(flip),b,20169,a)]. given #17382 (H,wt=23): 20171 K(x * (T(y \ z,z) * u),w) = K(x * (T(y \ z,y) * u),w). [para(3934(a,1),20169(a,1,1,2,1)),flip(a)]. given #17383 (H,wt=21): 20174 K(x * (T(y \ z,z) * u),w) = K(x * ((z / y) * u),w). [hyper(286,a,19128,a(flip),b,20171,a),flip(a)]. given #17384 (H,wt=23): 20175 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * ((z / y) * u),w). [hyper(62,a,17688,a,b,20174,a)]. given #17385 (H,wt=23): 20176 K(x * ((y \ T(z,y \ 1)) * u),w) = K(x * ((z / y) * u),w). [para(6499(a,1),20175(a,1,1,2,1))]. given #17386 (H,wt=25): 20173 K(x,y * (((z \ u) \ u) * w)) = (v5 * K(y * (T(z,u) * w),x)) \ v5. [para(20170(a,1),6895(a,1,1,2)),flip(a)]. given #17387 (H,wt=21): 20178 K(x,y * (((z \ u) \ u) * w)) = K(x,y * (T(z,u) * w)). [hyper(286,a,15072,a(flip),b,20173,a),flip(a)]. given #17388 (H,wt=21): 20180 K(x,y * (T(z / u,z) * w)) = K(x,y * ((u \ z) * w)). [para(76(a,1),20178(a,1,2,2,1,1)),flip(a)]. given #17389 (H,wt=25): 20179 K(x,y * (((z \ u) \ u) * K(w,v5))) = K(x,y * T(z * K(w,v5),u)). [hyper(286,a,17097,a,b,20178,a),flip(a)]. given #17390 (H,wt=23): 20182 K(x,y * T(z * K(u,w),u)) = K(x,y * ((z \ u) \ T(u,w))). [para(13515(a,1),20179(a,1,2,2)),flip(a)]. given #17391 (H,wt=27): 20172 K(x * (T(y,z) * T(u,(y \ z) \ z)),w) = K(x * (u * ((y \ z) \ z)),w). [para(108(a,1),20170(a,1,1,2)),flip(a)]. given #17392 (H,wt=25): 20183 K(x * (T(y,z) * T(u,T(y,z))),w) = K(x * (u * ((y \ z) \ z)),w). [para(7716(a,1),20172(a,1,1,2,2))]. given #17393 (H,wt=21): 20184 K(x * (y * ((z \ u) \ u)),w) = K(x * (y * T(z,u)),w). [para(108(a,1),20183(a,1,1,2)),flip(a)]. given #17394 (H,wt=21): 20186 K(x * (y * T(z,z \ u)),w) = K(x * (y * T(z,u)),w). [para(109(a,2),20184(a,1,1,2,2))]. given #17395 (H,wt=27): 20177 K(x * ((y \ ((y \ 1) \ z)) * u),w) = K(x * (((z / (y \ 1)) / y) * u),w). [para(110(a,1),20176(a,1,1,2,1,2))]. given #17396 (H,wt=33): 20185 K((((x \ 1) / (y \ (x \ 1))) * T(z,y \ (x \ 1))) * x,u) = K(x * (z * T(y,x \ 1)),u). [hyper(62,a,18517,a,b,20184,a)]. given #17397 (H,wt=25): 20189 K((x * T(y,x \ (z \ 1))) * z,u) = K(z * (y * T(x,z \ 1)),u). [para(73(a,1),20185(a,1,1,1,1))]. given #17398 (H,wt=23): 20190 K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z \ 1)),u). [hyper(62,a,17901,a(flip),b,20189,a)]. given #17399 (H,wt=21): 20192 K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z)),u). [hyper(286,a,17897,a(flip),b,20190,a),flip(a)]. given #17400 (H,wt=28): 20193 K(x,K(y,z * u)) * K(y * (u * T(z,y)),x) = K(L(u,z,y) * (y * z),x). [para(20192(a,1),15990(a,1,2))]. given #17401 (H,wt=20): 20194 K(L(x,y,z) * (z * y),u) = K((x * T(y,z)) * z,u). [hyper(62,a,15869,a(flip),b,20193,a),flip(a)]. given #17402 (H,wt=25): 20195 K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K(z * (y * x),u). [para(20194(a,1),16607(a,1,1))]. given #17403 (H,wt=18): 20196 K((x * y) * R(z,y,x),u) = K(x * (y * z),u). [hyper(62,a,14846,a(flip),b,20195,a)]. given #17404 (H,wt=21): 20197 K(((x * y) \ z) * (y * x),u) = K(x * T(z / x,y),u). [hyper(62,a,18006,a(flip),b,20196,a),flip(a)]. given #17405 (H,wt=21): 20198 K(K(x,y) * z,T(u,x * y)) = K(y * T(z / y,x),u). [hyper(62,a,12104,a(flip),b,20197,a)]. given #17406 (H,wt=33): 20187 K(x * (y * T(z * K(u,w),(z * K(u,w)) \ u)),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(7612(a,1),20186(a,2,1,2,2))]. given #17407 (H,wt=33): 20199 K(x * (y * T(z * K(u,w),K(w,u) * (z \ u))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(18258(a,1),20187(a,1,1,2,2,2))]. given #17408 (H,wt=31): 20200 K(x * (y * T(z * K(u,w),z \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(15256(a,1),20199(a,1,1,2,2))]. given #17409 (H,wt=27): 20201 K(x * (y * ((z \ u) \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(18394(a,1),20200(a,1,1,2,2))]. given #17410 (H,wt=27): 20202 K(x * (y * T(z * K(u,w),u)),v5) = K(x * (y * ((z \ u) \ T(u,w))),v5). [para(7612(a,2),20201(a,2,1,2,2)),flip(a)]. given #17411 (H,wt=36): 20188 K(x * (y \ K(z * ((u \ ((u \ 1) \ w)) * v5),z)),v6) = K(x * (y \ K(w * L(v5,u \ 1,u),z)),v6). [para(20177(a,2),18452(a,1,1,2,2))]. given #17412 (H,wt=34): 20204 K(x * (y \ K((z \ ((z \ 1) \ u)) * w,v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [hyper(62,a,17140,a(flip),b,20188,a)]. given #17413 (H,wt=37): 20181 K(x,y * (T(L(z,u \ 1,u) / T(u,w),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(6514(a,1),20180(a,2,2,2,1))]. given #17414 (H,wt=37): 20205 K(x,y * (T(L(z / T(u,w),u,u \ 1),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(7332(a,2),20181(a,1,2,2,1,1))]. given #17415 (H,wt=32): 20206 K(x,y * (T(L(z / T(u,w),u,u \ 1),z) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(13676(a,1),20205(a,1,2,2,1))]. given #17416 (H,wt=32): 20207 K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(25(a,2),20206(a,1,2,2,1))]. given #17417 (H,wt=32): 20209 K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). [hyper(286,a,19803,a,b,20207,a),flip(a)]. given #17418 (H,wt=27): 20210 K(x,y * (T(z / T(u,w),z) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). [hyper(62,a,20043,a(flip),b,20209,a)]. given #17419 (H,wt=25): 20212 K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). [hyper(62,a,20180,a(flip),b,20210,a),flip(a)]. given #17420 (H,wt=43): 19927 L(x \ R(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). [para(19926(a,1),14455(a,2,3)),flip(a)]. given #17421 (H,wt=43): 20147 K(x,y / (z / (T(u,w \ 1) * T(K(w,v5 \ 1) * (w \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(8517(a,2),19733(a,1,2,2,2,2))]. given #17422 (H,wt=41): 20214 K(x,y / (z / (T(u,w \ 1) * T(w \ K(w,v5 \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(3234(a,1),20147(a,1,2,2,2,2,1))]. given #17423 (H,wt=39): 20215 K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(v5,u \ 1) * T(T(u \ 1,w),w)))). [para(6464(a,1),20214(a,1,2,2,2,2,1)),flip(a)]. given #17424 (H,wt=35): 20216 K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(286,a,18775,a(flip),b,20215,a),flip(a)]. given #17425 (H,wt=35): 20217 K(x,y / (z / (K(u,w \ 1) * (T(u \ 1,w) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [para(7358(a,2),20216(a,1,2,2,2))]. given #17426 (H,wt=43): 20213 L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). [para(17206(a,1),19927(a,1,1,2))]. given #17427 (H,wt=46): 19862 K((a(x,y,x) \ z) \ u,L(T(w,v5),a(x,y,x) \ z,v5 \ ((a(x,y,x) \ z) \ 1))) = K(((((v5 \ 1) / z) * a(x,y,x)) * u) * v5,w). [para(13059(a,1),19861(a,2,1,1,1))]. given #17428 (H,wt=46): 19920 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * (T(u,y * z) * (L(y,w \ 1,w) * z))))). [para(19919(a,2),12710(a,2,2)),flip(a)]. given #17429 (H,wt=42): 20219 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * ((L(y,w \ 1,w) * z) * u)))). [hyper(286,a,15966,a(flip),b,19920,a),flip(a)]. given #17430 (H,wt=38): 20221 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K((L(y,w \ 1,w) * z) * u,v5 * v6)). [hyper(286,a,12710,a(flip),b,20219,a),flip(a)]. given #17431 (H,wt=38): 20222 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(z * (u * L(y,w \ 1,w)),v5 * v6)). [hyper(286,a,18970,a(flip),b,20221,a),flip(a)]. given #17432 (H,wt=37): 20223 K(x,K(T(y,z * u) * (L(z,w \ 1,w) * u),v5 * v6)) = K(x,K(u * (y * L(z,w \ 1,w)),v5 * v6)). [para(19919(a,1),20222(a,1,2))]. given #17433 (H,wt=32): 20224 K(x,K(y * (z * T(u,y * z)),w * v5)) = K(x,K(z * (u * L(y,v6 \ 1,v6)),w * v5)). [hyper(62,a,19532,a(flip),b,20223,a)]. given #17434 (H,wt=31): 20226 K(x,K(L(y,z,u) * (u * z),w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). [para(578(a,1),20224(a,1,2,1))]. given #17435 (H,wt=30): 20227 K(x,K((y * T(z,u)) * u,w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). [para(20194(a,1),20226(a,1,2))]. given #17436 (H,wt=30): 20228 K(x,K(T(y,z) * (z * u),w * v5)) = K(x,K(y * (u * L(z,v6 \ 1,v6)),w * v5)). [hyper(62,a,18970,a(flip),b,20227,a)]. given #17437 (H,wt=28): 20229 K(x,K(y * (z * L(u,w \ 1,w)),v5 * v6)) = K(x,K(y * (u * z),v5 * v6)). [hyper(15874,a,20228,a),flip(a)]. given #17438 (H,wt=32): 20230 K(x,K(y * z,u * (w \ (L(v5,v6 \ 1,v6) * v7)))) = K(x,K(v7 * (v5 * (w \ u)),z * y)). [hyper(18974,a,20229,a)]. given #17439 (H,wt=32): 20232 K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (u * v7)),y * z)). [hyper(62,a,18975,a(flip),b,20229,a)]. given #17440 (H,wt=32): 20233 K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (v7 \ u)),z * y)). [hyper(62,a,18987,a(flip),b,20230,a)]. given #17441 (H,wt=27): 20234 K(x,K(y * (z * (u \ w)),v5 * v6)) = K(x,K(y * (z * (w * u)),v6 * v5)). [hyper(62,a,20232,a(flip),b,20233,a),flip(a)]. given #17442 (H,wt=31): 20235 K(x,K(y * (z * (u * w)),((z * (u \ w)) * y) * v5)) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,19020,a(flip),b,20234,a),flip(a)]. given #17443 (H,wt=31): 20236 K(x,K(y * (z * (u * w)),(z * (u \ w)) * (y * v5))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,18986,a(flip),b,20235,a)]. given #17444 (H,wt=31): 20237 K(x,K(y * (z * (u * w)),z * ((u \ w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,18986,a(flip),b,20236,a)]. given #17445 (H,wt=31): 20238 K(x,K(y * (z * (u * w)),z * ((u * w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,19021,a(flip),b,20237,a)]. given #17446 (H,wt=23): 20239 K(x,K(y,z * (u * (w \ v5)))) = K(x,K(y,z * (u * (v5 * w)))). [hyper(62,a,19895,a(flip),b,20238,a),flip(a)]. given #17447 (H,wt=26): 20240 K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,19002,a,b,20239,a)]. given #17448 (H,wt=46): 20218 K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ ((a(z,u,z) \ x) \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(13035(a,1),19862(a,1,1))]. given #17449 (H,wt=44): 20241 K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(12881(a,1),20218(a,1,2,3,2))]. given #17450 (H,wt=39): 20242 K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(13384(a,1),20241(a,1,2))]. given #17451 (H,wt=36): 20243 K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [hyper(62,a,14583,a(flip),b,20242,a)]. given #17452 (H,wt=31): 20245 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K(((((u \ 1) / x) * a(w,v5,w)) * y) * u,z). [hyper(13187,a,20243,a)]. given #17453 (H,wt=28): 20248 K(((((x \ 1) / y) * a(z,u,z)) * w) * x,v5) = K((((x \ 1) / y) * w) * x,v5). [hyper(62,a,19861,a(flip),b,20245,a),flip(a)]. given #17454 (H,wt=26): 20249 K((((x \ a(y,z,y)) / u) * w) * x,v5) = K((((x \ 1) / u) * w) * x,v5). [para(13031(a,1),20248(a,1,1,1,1))]. given #17455 (H,wt=37): 20250 K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ a(z,u,z))) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). [para(6042(a,2),20249(a,1,1,1))]. given #17456 (H,wt=34): 20251 K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ 1)) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). [para(13123(a,1),20250(a,1,1,1,2,1))]. given #17457 (H,wt=34): 20252 K(((x \ (y \ a(z,u,z))) * w) * (y * K(x \ (y \ 1),x)),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(19146,a,20251,a)]. given #17458 (H,wt=34): 20254 K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x \ 1)),v5) = K((((y \ 1) / x) * w) * y,v5). [para(13530(a,1),20252(a,1,1,2,2))]. given #17459 (H,wt=32): 20255 K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x)),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(16999,a,20254,a)]. given #17460 (H,wt=32): 20256 K(((x \ (y \ a(z,u,z))) * w) * (y * K(x * y,x)),v5) = K((((y \ 1) / x) * w) * y,v5). [para(7011(a,1),20255(a,1,1,2,2))]. given #17461 (H,wt=30): 20257 K(K(x,y) * (((y \ (x \ a(z,u,z))) * w) * x),v5) = K((((x \ 1) / y) * w) * x,v5). [hyper(62,a,17846,a(flip),b,20256,a)]. given #17462 (H,wt=28): 20258 K(((x \ (y \ a(z,u,z))) * w) * T(y,x),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(15160,a,20257,a)]. given #17463 (H,wt=25): 20259 K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / x) * z) * y,u). [para(418(a,1),20258(a,1,1,1,1,2,2))]. given #17464 (H,wt=25): 20260 K((((x \ 1) / y) * z) * x,u \ 1) = K((((x \ 1) / z) * y) * x,u). [hyper(62,a,20146,a(flip),b,20259,a)]. given #17465 (H,wt=33): 20261 K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / z) * y),u \ 1). [para(20260(a,1),18009(a,1,1))]. given #17466 (H,wt=25): 20262 K(x * (((x \ 1) / y) * z),u \ 1) = K(x * (((x \ 1) / z) * y),u). [hyper(62,a,16924,a(flip),b,20261,a),flip(a)]. given #17467 (H,wt=29): 20263 (x * K(y * (((y \ 1) / z) * u),w)) \ x = K(w \ 1,y * (((y \ 1) / u) * z)). [para(20262(a,1),6895(a,1,1,2))]. given #17468 (H,wt=25): 20264 K(x \ 1,y * (((y \ 1) / z) * u)) = K(x,y * (((y \ 1) / u) * z)). [hyper(15158,a,20263,a),flip(a)]. given #17469 (H,wt=25): 20265 K(x,(y * (((y \ 1) / z) * u)) \ 1) = K(x,y * (((y \ 1) / u) * z)). [hyper(6476,a,20264,a)]. given #17470 (H,wt=25): 20266 K(x,(((y \ 1) / z) * u) \ (y \ 1)) = K(x,y * (((y \ 1) / u) * z)). [hyper(13749,a,20265,a)]. given #17471 (H,wt=33): 20267 K(x,y * (((y \ 1) / z) * u)) * K(x,K(y,z \ u)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). [para(20266(a,1),18893(a,1,1))]. given #17472 (H,wt=27): 20268 K(x,T(y * (((y \ 1) / z) * u),y)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). [hyper(62,a,16925,a(flip),b,20267,a)]. given #17473 (H,wt=25): 20269 K(x,y \ ((z \ 1) * ((u \ 1) \ y))) = K(x,(((y \ 1) / z) * u) * y). [hyper(12144,a,20268,a),flip(a)]. given #17474 (H,wt=31): 20270 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((u \ 1) \ (y \ 1)))). [hyper(13568,a,20269,a),flip(a)]. given #17475 (H,wt=29): 20271 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((y / u) \ 1))). [para(6431(a,1),20270(a,2,2,2,2))]. given #17476 (H,wt=27): 20272 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * (((y / u) * z) \ 1)). [para(6394(a,1),20271(a,2,2,2))]. given #17477 (H,wt=25): 20273 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). [hyper(286,a,13554,a(flip),b,20272,a),flip(a)]. given #17478 (H,wt=21): 20274 K(x,((y / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). [para(4893(a,1),20273(a,1,2,1,1,1))]. given #17479 (H,wt=19): 20275 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(13559,a,20274,a)]. given #17480 (H,wt=21): 20276 K(x,y / ((y / T(z,u)) * u)) = K(x,y \ (z * (u \ y))). [hyper(62,a,19574,a(flip),b,20275,a),flip(a)]. given #17481 (H,wt=19): 20277 K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). [hyper(62,a,19730,a(flip),b,20276,a)]. given #17482 (H,wt=29): 20278 K(x,y \ (z * (u \ y))) * K(x,K(y,u * (z \ y))) = K(x,y / (u * (z \ y))). [para(20277(a,1),8717(a,1,1))]. given #17483 (H,wt=27): 20279 K(x,y \ (z * (u \ y))) * K(x,K(y,u \ z)) = K(x,y / (u * (z \ y))). [para(16851(a,1),20278(a,1,2))]. given #17484 (H,wt=21): 20280 K(x,T(y \ (z * (u \ y)),y)) = K(x,y / (u * (z \ y))). [hyper(62,a,16840,a(flip),b,20279,a)]. given #17485 (H,wt=19): 20281 K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). [hyper(8246,a,20280,a)]. given #17486 (H,wt=24): 20282 K(x,(y * (R(z \ 1,z,u) \ u)) / u) = K(x,u / (z \ (y \ u))). [hyper(286,a,18742,a(flip),b,20281,a),flip(a)]. given #17487 (H,wt=19): 20283 K(x,(y * (z * u)) / u) = K(x,u / (z \ (y \ u))). [para(4908(a,1),20282(a,1,2,1,2))]. given #17488 (H,wt=26): 20284 K(x,y / (z \ (R(u \ 1,u,T(y,z)) \ y))) = K(x,(u \ (z * y)) / y). [hyper(62,a,18569,a(flip),b,20283,a),flip(a)]. given #17489 (H,wt=19): 20290 K(x,(y \ (z * u)) / u) = K(x,u / (z \ (y * u))). [para(13837(a,1),20284(a,1,2,2,2)),flip(a)]. given #17490 (H,wt=25): 20291 K((x \ y) \ y,z / (u \ (w * z))) = K(x,T((w \ (u * z)) / z,y)). [hyper(7986,a,20290,a),flip(a)]. given #17491 (H,wt=23): 20293 K(x,T((y \ (z * u)) / u,w)) = K(x,T(u / (z \ (y * u)),w)). [hyper(7986,a,20291,a),flip(a)]. given #17492 (H,wt=21): 20294 K(x,T(y / (z \ (u * y)),y)) = K(x,y \ (u \ (z * y))). [para(110(a,1),20293(a,1,2)),flip(a)]. given #17493 (H,wt=19): 20295 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(8352,a,20294,a)]. given #17494 (H,wt=23): 20296 K(x,y \ (z \ ((z * u) * y))) = K(x,y / ((y * z) / (u * z))). [hyper(62,a,19704,a(flip),b,20295,a),flip(a)]. given #17495 (H,wt=27): 20286 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,(w * (u * K(y,z))) * K(z,y)). [para(6892(a,1),20283(a,1,2)),flip(a)]. given #17496 (H,wt=27): 20287 K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,y \ (u * (z * y))). [para(20283(a,1),10565(a,1,1))]. given #17497 (H,wt=19): 20299 K(x,(y \ (z \ u)) \ u) = K(x,u \ (z * (y * u))). [hyper(62,a,16748,a(flip),b,20287,a)]. given #17498 (H,wt=26): 20300 K(x,y \ (z * ((u \ 1) * y))) != w | K(x,(((z \ y) \ 1) / u) * y) = w. [para(20299(a,1),13753(a,1))]. given #17499 (H,wt=27): 20289 K(x,K(y,z * u)) * K(y,x / (z \ (u \ x))) = K(y,x \ (u * (z * x))). [para(20283(a,1),15943(a,1,2))]. given #17500 (H,wt=27): 20298 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * (K(z,y) * (u * K(y,z)))). [hyper(286,a,17063,a(flip),b,20286,a),flip(a)]. given #17501 (H,wt=23): 20302 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * T(u,K(z,y))). [para(8119(a,1),20298(a,2,2,2))]. given #17502 (H,wt=19): 20303 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * u). [hyper(286,a,15392,a(flip),b,20302,a),flip(a)]. given #17503 (H,wt=19): 20304 K(x,(y \ (z \ K(u,w))) \ K(u,w)) = K(x,z * y). [hyper(15086,a,20303,a)]. given #17504 (H,wt=25): 20306 K(x,(y \ K(z,u)) \ (w * (v5 \ K(z,u)))) = K(x,y * (w * (v5 \ 1))). [hyper(62,a,19934,a(flip),b,20304,a)]. given #17505 (H,wt=25): 20307 K(x,K(y,z) * (u * (w * (v5 \ K(y,z))))) = K(x,u * (w * (v5 \ 1))). [hyper(62,a,18340,a(flip),b,20306,a)]. given #17506 (H,wt=27): 20308 K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y * ((z \ w) * (v5 \ 1))). [hyper(62,a,17771,a(flip),b,20307,a)]. given #17507 (H,wt=35): 20301 K(x,K(y,z * u)) * K(y,T(x,w) / (z \ (u \ T(x,w)))) = K(y,T(x,w) \ (u * (z * T(x,w)))). [para(15014(a,1),20289(a,1,1))]. given #17508 (H,wt=39): 20288 K(x,(y * ((z * u) * K(w,v5 / (u * z)))) / (z * u)) = K(x,(z * u) / (K(w,(u * z) \ v5) \ (y \ (z * u)))). [para(14986(a,1),20283(a,1,2,1,2))]. given #17509 (H,wt=39): 20309 K(x,(y * (z * u)) / ((z * u) * K(w / (u * z),v5))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). [para(18884(a,1),20288(a,1,2))]. given #17510 (H,wt=39): 20310 K(x,(y * (z * u)) / (z * (u * K((w / z) / u,v5)))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). [para(14432(a,1),20309(a,1,2,2))]. given #17511 (H,wt=39): 20311 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,(v5 * (y * z)) * ((y * z) \ K(u,(w / y) / z))). [hyper(17310,a,20310,a),flip(a)]. given #17512 (H,wt=31): 20312 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,(w / y) / z) * v5). [hyper(286,a,19079,a(flip),b,20311,a),flip(a)]. given #17513 (H,wt=31): 20314 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,z \ (w / y)) * v5). [hyper(286,a,16799,a,b,20312,a),flip(a)]. given #17514 (H,wt=41): 20285 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y))). [para(5726(a,1),20283(a,1,2,1,2)),flip(a)]. given #17515 (H,wt=39): 20315 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,T(z,u))). [para(12372(a,1),20285(a,2,2))]. given #17516 (H,wt=37): 20316 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,z)). [hyper(286,a,15410,a(flip),b,20315,a),flip(a)]. given #17517 (H,wt=37): 20318 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (T(y,z) \ K(y,z))). [hyper(286,a,18455,a(flip),b,20316,a),flip(a)]. given #17518 (H,wt=33): 20319 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (y \ 1)). [para(4655(a,1),20318(a,2,2,2))]. given #17519 (H,wt=31): 20320 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) / y). [hyper(286,a,13554,a(flip),b,20319,a),flip(a)]. given #17520 (H,wt=31): 20322 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). [hyper(286,a,20283,a(flip),b,20320,a),flip(a)]. given #17521 (H,wt=31): 20323 K(x,T(y,z) * ((u \ (w \ (T(y,z) * K(u,y)))) \ K(u,y))) = K(x,y / (u \ (w \ y))). [hyper(18210,a,20322,a)]. given #17522 (H,wt=29): 20324 K(x,T(y,z) / (T(u,y) \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). [hyper(62,a,13822,a(flip),b,20323,a)]. given #17523 (H,wt=29): 20325 K(x,T(y,z) / (T(u,y) \ ((w \ T(y,z)) * K(u,y)))) = K(x,y / (u \ (w \ y))). [para(18287(a,1),20324(a,1,2,2,2))]. given #17524 (H,wt=27): 20326 K(x,T(y,z) / T(u \ (w \ T(y,z)),K(u,y))) = K(x,y / (u \ (w \ y))). [para(7645(a,1),20325(a,1,2,2))]. given #17525 (H,wt=23): 20327 K(x,T(y,z) / (u \ (w \ T(y,z)))) = K(x,y / (u \ (w \ y))). [hyper(15429,a,20326,a)]. given #17526 (H,wt=31): 20329 K(x,T(y,z) \ (u * (w * T(y,z)))) = K(y,K(x,w * u)) * K(x,y / (w \ (u \ y))). [para(20327(a,1),20301(a,1,2)),flip(a)]. given #17527 (H,wt=23): 20330 K(x,T(y,z) \ (u * (w * T(y,z)))) = K(x,y \ (u * (w * y))). [hyper(286,a,20289,a(flip),b,20329,a),flip(a)]. given #17528 (H,wt=28): 20332 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (L(u \ 1,u,y) * (w * y))). [hyper(62,a,19622,a(flip),b,20330,a)]. given #17529 (H,wt=23): 20333 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). [hyper(286,a,19621,a(flip),b,20332,a),flip(a)]. given #17530 (H,wt=29): 20334 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ ((K(w,T(y,z)) * u) \ (w * y))). [para(13730(a,1),20333(a,1,2,2))]. given #17531 (H,wt=27): 20335 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ T(y * w,K(w,z)))). [para(17785(a,1),20334(a,2,2,2))]. given #17532 (H,wt=47): 19314 ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * ((x \ 1) * K(z,y))) * K(y,z). [hyper(286,a,13689,a,b,19281,a)]. given #17533 (H,wt=45): 20336 ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13512(a,1),19314(a,2,1,2))]. given #17534 (H,wt=43): 20337 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13636(a,1),20336(a,1,1,2,1))]. given #17535 (H,wt=41): 20338 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) / x) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13636(a,1),20337(a,1,2,2,2,2,1))]. given #17536 (H,wt=37): 20339 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,K(z,y) * u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(17090(a,1),20338(a,1,2,2))]. given #17537 (H,wt=33): 20340 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(8758(a,1),20339(a,1,2,2))]. given #17538 (H,wt=33): 20342 (x \ 1) * ((K(y,z) / x) \ (u * K(y,T(z,u)))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [hyper(62,a,19581,a(flip),b,20340,a)]. given #17539 (H,wt=31): 20345 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = (y \ 1) * ((K(u,z) / y) \ (K(u,z) * x)). [para(7736(a,1),20342(a,1,2,2)),flip(a)]. given #17540 (H,wt=26): 20346 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(u * x,x,K(z,y)). [hyper(62,a,17751,a(flip),b,20345,a),flip(a)]. given #17541 (H,wt=30): 20347 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,x \ (u * x),K(z,u * x)). [para(19416(a,2),20346(a,2,2))]. given #17542 (H,wt=28): 20348 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,T(u,x),K(z,u * x)). [para(22(a,2),20347(a,2,2,2))]. given #17543 (H,wt=26): 20349 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,u,K(z,u * x)). [para(19392(a,1),20348(a,2,2))]. given #17544 (H,wt=47): 19900 a(x,y,K(T(z \ L(z,u,w),v5),z)) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(18385(a,1),19897(a,2,2,2,2,1))]. given #17545 (H,wt=47): 20203 K(x,K(y * (z * ((u \ w) \ T(w,v5))),(y * (z * ((u \ w) \ T(w,v5)))) \ v6) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(20202(a,2),13131(a,2,2,1))]. given #17546 (H,wt=47): 20351 a(x,y,K(z \ L(z,u,w),T(z,v5))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(7777(a,1),19900(a,1,1,3))]. given #17547 (H,wt=45): 20353 a(x,y,a(z,u,K(w,T(z,v5)))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(14279(a,1),20351(a,1,1,3))]. given #17548 (H,wt=43): 20354 a(x,y,a(z,u,K(w,z))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(18018(a,1),20353(a,1,1,3))]. given #17549 (H,wt=38): 20355 a(x,y,1) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(9507(a,1),20354(a,1,1,3))]. given #17550 (H,wt=35): 20357 1 * K(x,y \ (((y / z) * T(y \ L(y,u,w),v5)) * z)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). [para(418(a,1),20355(a,1,1))]. given #17551 (H,wt=31): 20360 1 * K(x,T((y * z) \ (L(y,u,w) * z),v5)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). [para(19775(a,1),20357(a,1,2))]. given #17552 (H,wt=21): 20361 K(x,T((y * z) \ (L(y,u,w) * z),v5)) = a(y,u,K(x,w)). [hyper(114,a,20360,a,b,19797,a(flip))]. given #17553 (H,wt=32): 20362 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) != v6 | K(x,T((z * y) \ (L(z,u,w) * y),v5)) = v6. [para(20360(a,1),117(a,1)),flip(b)]. given #17554 (H,wt=47): 20352 K(x,K(y * (z * ((u \ w) \ T(w,v5))),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(13697(a,1),20203(a,1,2,1))]. given #17555 (H,wt=47): 20363 K(x,K(y * (z * T(u * K(w,v5),w)),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(20202(a,2),20352(a,1,2,1))]. given #17556 (H,wt=48): 19903 a(x,T(y,z) \ u,K(w,v5)) * K(x,(v5 * (T(y,z) \ u)) \ (w * (T(y,z) \ u))) = K(x,K(y,z) * ((y \ u) \ (v5 \ (w * (T(y,z) \ u))))). [hyper(286,a,18839,a,b,19902,a),flip(a)]. given #17557 (H,wt=46): 20364 a(x,T(y,z),K(u,w)) * K(u,(w * (T(y,z) \ 1)) \ (x * (T(y,z) \ 1))) = K(u,K(y,z) * ((y \ 1) \ (w \ (x * (T(y,z) \ 1))))). [para(14474(a,1),19903(a,1,1))]. given #17558 (H,wt=44): 20365 a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * (T(y,w) \ 1))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(19392(a,1),20364(a,1,1))]. given #17559 (H,wt=44): 20367 a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(19843(a,2),20365(a,1,2))]. given #17560 (H,wt=44): 20368 a(x,y,K(z,u)) * K(z,(T(y,w) * (u \ 1)) * (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(13555(a,1),20367(a,1,2))]. given #17561 (H,wt=40): 20369 K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = a(w,y,K(x,u)) * K(x,(y * (u \ 1)) * (w * (y \ 1))). [para(19992(a,1),20368(a,1,2)),flip(a)]. given #17562 (H,wt=31): 20370 K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = K(x,y * (u \ (w * (y \ 1)))). [hyper(286,a,19906,a(flip),b,20369,a),flip(a)]. given #17563 (H,wt=29): 20372 K(x,(T(y,z) \ 1) \ (u \ (w * (T(y,z) \ 1)))) = K(x,y * (u \ (w * (y \ 1)))). [hyper(62,a,18839,a(flip),b,20370,a)]. given #17564 (H,wt=49): 19108 x \ T(y * T(x,K(z,(u * ((w \ 1) * v5)) \ v6)),K(z,v6 * (((v5 \ 1) * w) * (u \ 1)))) = T(y,K(v6 * (((v5 \ 1) * w) * (u \ 1)),z) * x). [para(15124(a,2),14711(a,1,2,1,2))]. given #17565 (H,wt=49): 19114 K(K(x,K(y,z * ((u \ 1) \ w))) * (v5 \ K(((u \ 1) \ w) * z,x)),v6) = K(v5 \ (K(x,K(z,u * w)) * T(K(z * ((u \ 1) \ w),x),y)),v6). [para(8057(a,1),17454(a,1,1,1))]. given #17566 (H,wt=49): 19830 K(x * ((((y / ((z \ 1) \ 1)) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(8573(a,2),19829(a,2,1,2,1))]. given #17567 (H,wt=45): 20375 K(x * ((((y / z) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(4893(a,1),19830(a,1,1,2,1,1,1,2))]. given #17568 (H,wt=35): 20377 K(x * ((((y / z) / (z \ 1)) * (T(z,y) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(13724(a,1),20375(a,1,1,2,1,2,1))]. given #17569 (H,wt=29): 20378 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * (((y / z) * K(y,z)) \ u),w). [para(7147(a,1),20377(a,1,1,2,1)),flip(a)]. given #17570 (H,wt=27): 20380 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((y / T(z,y)) \ u),w). [para(6605(a,1),20378(a,2,1,2,1))]. given #17571 (H,wt=41): 20376 K(x * ((((y / z) / (z \ 1)) * (T(z,(y / z) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(4893(a,1),20375(a,1,1,2,1,2,1,2,1,2))]. given #17572 (H,wt=35): 20381 K(x * (T(((y / z) / (z \ 1)) * (z \ 1),z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [hyper(62,a,19828,a,b,20376,a)]. given #17573 (H,wt=27): 20382 K(x * (T(y / z,z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(12(a,1),20381(a,1,1,2,1,1))]. given #17574 (H,wt=25): 20384 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((z \ y) \ u),w). [para(110(a,1),20382(a,1,1,2,1)),flip(a)]. given #17575 (H,wt=21): 20385 K(x * ((y / T(z,y)) \ u),w) = K(x * ((z \ y) \ u),w). [hyper(62,a,20380,a(flip),b,20384,a)]. given #17576 (H,wt=26): 20386 K(x \ ((y / T(z,y)) \ u),w) = K((x \ a(v5,v6,v5)) * ((z \ y) \ u),w). [hyper(13780,a,20385,a)]. given #17577 (H,wt=21): 20388 K(x \ ((y / T(z,y)) \ u),w) = K(x \ ((z \ y) \ u),w). [hyper(286,a,13549,a(flip),b,20386,a),flip(a)]. given #17578 (H,wt=25): 20389 K(x,y \ ((z / T(u,z)) \ w)) = (v5 * K(y \ ((u \ z) \ w),x)) \ v5. [para(20388(a,1),6895(a,1,1,2)),flip(a)]. given #17579 (H,wt=21): 20391 K(x,y \ ((z / T(u,z)) \ w)) = K(x,y \ ((u \ z) \ w)). [hyper(286,a,15072,a(flip),b,20389,a),flip(a)]. given #17580 (H,wt=39): 20390 K(x,y \ ((z / T(u,z)) \ w)) * a(v5,v6,K(y \ ((u \ z) \ w),x)) = K(x,L(y \ ((z / T(u,z)) \ w),v6,v5)). [para(20388(a,1),11746(a,1,2,3))]. given #17581 (H,wt=37): 20392 K(x,y \ ((z \ u) \ w)) * a(v5,v6,K(y \ ((z \ u) \ w),x)) = K(x,L(y \ ((u / T(z,u)) \ w),v6,v5)). [para(20391(a,1),20390(a,1,1))]. given #17582 (H,wt=27): 20393 K(x,L(y \ ((z / T(u,z)) \ w),v5,v6)) = K(x,L(y \ ((u \ z) \ w),v5,v6)). [hyper(11806,a,20392,a),flip(a)]. given #17583 (H,wt=26): 20394 K(x,L(y \ ((z \ u) \ w),w,z \ u)) = K(x,((T(u,z) / z) * y) \ w). [hyper(62,a,19215,a(flip),b,20393,a),flip(a)]. given #17584 (H,wt=21): 20395 K(x,((T(y,z) / z) * u) \ w) = K(x,((z \ y) * u) \ w). [hyper(18191,a,20394,a),flip(a)]. given #17585 (H,wt=31): 20396 K(x,((y \ z) * u) \ w) * K(x,K((y \ z) * u,w)) = K(x,w / ((T(z,y) / y) * u)). [para(20395(a,1),17881(a,1,1))]. given #17586 (H,wt=21): 20397 K(x,y / ((T(z,u) / u) * w)) = K(x,y / ((u \ z) * w)). [hyper(62,a,8683,a(flip),b,20396,a),flip(a)]. given #17587 (H,wt=31): 20398 K(x,y / ((T(z,u) / u) * a(u \ z,w,w \ 1))) = K(x,y / R(u \ z,w,w \ 1)). [para(716(a,1),20397(a,2,2,2))]. given #17588 (H,wt=27): 20400 K(x,y / R(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). [para(20011(a,1),20398(a,1,2,2))]. given #17589 (H,wt=27): 20401 K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). [hyper(19526,a,20400,a)]. given #17590 (H,wt=27): 20402 K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / L(u \ z,w,w \ 1)). [hyper(286,a,19525,a(flip),b,20401,a),flip(a)]. given #17591 (H,wt=22): 20404 K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (T(z,u) / u)). [hyper(62,a,20095,a(flip),b,20402,a),flip(a)]. given #17592 (H,wt=20): 20406 K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (u \ z)). [hyper(286,a,17125,a(flip),b,20404,a),flip(a)]. given #17593 (H,wt=15): 20407 K(x,y / (z \ u)) = K(x,y * (u \ z)). [hyper(62,a,20127,a(flip),b,20406,a)]. given #17594 (H,wt=17): 20408 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [para(3013(a,1),20406(a,1,2,2)),flip(a)]. given #17595 (H,wt=17): 20410 K(x,y * (z \ u)) * x = T(x,y / (u \ z)). [para(20407(a,1),4667(a,2,1)),flip(a)]. given #17596 (H,wt=15): 20411 T(x,y / (z \ u)) = T(x,y * (u \ z)). [hyper(4668,a,20410,a),flip(a)]. given #17597 (H,wt=23): 20412 K(x,T(y,z \ (u \ w)) * v5) = K(x,T(y,z * (w \ u)) * v5). [para(20411(a,1),18673(a,2,2,1))]. given #17598 (H,wt=29): 20413 K(x,T(y,(z * u) * (K(w,v5) \ v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). [hyper(62,a,18676,a(flip),b,20412,a),flip(a)]. given #17599 (H,wt=29): 20414 K(x,T(y,(z * u) * (K(w,v5) * v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). [para(5839(a,1),20413(a,1,2,1,2,2))]. given #17600 (H,wt=25): 20415 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,(u * w) * z) * v6). [hyper(62,a,18670,a(flip),b,20414,a),flip(a)]. given #17601 (H,wt=30): 20403 K(x,y / L(z / T(u,z),w,w \ 1)) != v5 | K(x,y / L(u \ z,w,w \ 1)) = v5. [para(20401(a,2),19526(a,1))]. given #17602 (H,wt=31): 20409 K(x,(y * z) * ((u \ (y * z)) \ K(w,(z * y) \ v5))) = K(x,K(w,z \ (v5 / y)) * u). [hyper(62,a,20314,a(flip),b,20407,a),flip(a)]. given #17603 (H,wt=23): 20416 K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,z \ (w / u)) * v5). [hyper(19083,a,20409,a)]. given #17604 (H,wt=23): 20419 K(x,K(y,z \ (u / w)) * v5) = K(x,K(y,(u \ z) * w) * v5). [hyper(62,a,20091,a(flip),b,20416,a),flip(a)]. given #17605 (H,wt=40): 20399 K(x,y / (T(z,(u \ a(w,v5,w)) * v6) / ((u \ 1) * v6))) = K(x,y / ((((u \ a(w,v5,w)) * v6) \ z) * a(w,v5,w))). [para(13070(a,1),20397(a,1,2,2))]. given #17606 (H,wt=35): 20420 K(x,y / (T(z,u \ w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). [para(13883(a,1),20399(a,1,2,2,1))]. given #17607 (H,wt=35): 20421 K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). [hyper(62,a,19807,a(flip),b,20420,a)]. given #17608 (H,wt=27): 20423 K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / (((u \ 1) * w) \ z)). [para(13038(a,1),20421(a,2,2,2))]. given #17609 (H,wt=47): 20418 K(x,K(y * (z * T(u * K(w,v5),w)),z \ ((y \ v6) / ((u \ w) \ T(w,v5)))) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [hyper(62,a,20363,a(flip),b,20416,a),flip(a)]. given #17610 (H,wt=45): 20424 K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * (w * K(v5,v6))) * z) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). [hyper(62,a,18578,a(flip),b,20418,a)]. given #17611 (H,wt=45): 20426 K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * w) * (z * K(v6,v5))) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). [para(19155(a,1),20424(a,1,2,1))]. given #17612 (H,wt=41): 20427 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(u * (y * T(z * K(v5,v6),v5)),w) * v7). [hyper(16101,a,20426,a)]. given #17613 (H,wt=39): 20428 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * (z * K(v5,v6))) * u) * v7). [hyper(286,a,18578,a(flip),b,20427,a),flip(a)]. given #17614 (H,wt=39): 20431 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * z) * (u * K(v6,v5))) * v7). [para(19155(a,1),20428(a,2,2,1))]. given #17615 (H,wt=35): 20432 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(286,a,16113,a(flip),b,20431,a),flip(a)]. given #17616 (H,wt=35): 20434 K(x,K((y * z) * u,((u \ w) \ y) * ((z \ v5) \ T(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(62,a,20419,a(flip),b,20432,a)]. given #17617 (H,wt=35): 20435 K(x,K((y * z) * u,((u \ w) \ y) * T(z * K(v5,v6),v5)) * v7) = K(x,K((y * z) * u,w) * v7). [para(20182(a,2),20434(a,1,2,1))]. given #17618 (H,wt=33): 20436 K(x,K((y * z) * u,((u \ w) \ y) * (z * K(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(62,a,16116,a(flip),b,20435,a)]. given #17619 (H,wt=29): 20437 K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K((u * w) * y,z) * v5). [hyper(16101,a,20436,a)]. given #17620 (H,wt=49): 20373 x \ T(y * T(x,K(z,((u \ 1) * w) * (v5 \ v6))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(18938(a,1),19108(a,1,2,1,2))]. given #17621 (H,wt=49): 20374 K(K(x,K(y,z * (u * (1 \ w)))) * (v5 \ K(((w \ 1) \ u) * z,x)),v6) = K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6). [para(18979(a,1),19114(a,1,1,1))]. given #17622 (H,wt=47): 20440 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(((u \ 1) \ w) * z,y)),v6). [para(64(a,1),20374(a,1,1,1,2,2,2,2)),flip(a)]. given #17623 (H,wt=49): 20439 x \ T(y * T(x,K(z,(u \ 1) * (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(19603(a,1),20373(a,1,2,1,2))]. given #17624 (H,wt=47): 20441 x \ T(y * T(x,K(z,u \ (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(13501(a,1),20439(a,1,2,1,2,2))]. given #17625 (H,wt=47): 20442 x \ T(y * T(x,K(z,(u \ w) * (v5 \ v6))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). [para(18939(a,1),20441(a,1,2,1,2))]. given #17626 (H,wt=47): 20443 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w * (((v6 \ 1) * v5) * (u \ 1)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18949(a,1),20442(a,1,2,1,2))]. given #17627 (H,wt=45): 20444 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w / (u * ((v5 \ 1) * v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(13617(a,1),20443(a,1,2,2))]. given #17628 (H,wt=45): 20445 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(u * ((v5 \ 1) * v6)) \ w)) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(15124(a,2),20444(a,1,2))]. given #17629 (H,wt=45): 20446 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,((v5 \ 1) * v6) * (w \ u))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18938(a,1),20445(a,1,2))]. given #17630 (H,wt=45): 20447 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(v5 \ 1) * (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(19603(a,1),20446(a,1,2))]. given #17631 (H,wt=43): 20448 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,v5 \ (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(13501(a,1),20447(a,1,2,2))]. given #17632 (H,wt=43): 20449 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(w \ u) * (v5 \ v6))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18939(a,1),20448(a,1,2))]. given #17633 (H,wt=43): 20450 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,u * (w \ (v5 \ v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18949(a,1),20449(a,1,2))]. given #17634 (H,wt=31): 20451 T(x,K(y * (((z \ 1) * u) * (w \ 1)),v5) * v6) = T(x,K(w * (y \ (u \ z)),v5) * v6). [hyper(15314,a,20450,a),flip(a)]. given #17635 (H,wt=29): 20452 T(x,K(y / (z * ((u \ 1) * w)),v5) * v6) = T(x,K(z * (y \ (u \ w)),v5) * v6). [para(13646(a,1),20451(a,1,2,1))]. given #17636 (H,wt=29): 20453 T(x,K((y * ((z \ 1) * u)) \ w,v5) * v6) = T(x,K(y * (w \ (z \ u)),v5) * v6). [hyper(16086,a,20452,a)]. given #17637 (H,wt=29): 20454 T(x,K(((y \ 1) * z) \ (u \ w),v5) * v6) = T(x,K(u * (w \ (y \ z)),v5) * v6). [hyper(62,a,17014,a(flip),b,20453,a)]. given #17638 (H,wt=29): 20455 T(x,K(((y \ 1) * z) * (u \ w),v5) * v6) = T(x,K(u * (w \ (z \ y)),v5) * v6). [para(13539(a,1),20454(a,1,2,1))]. given #17639 (H,wt=27): 20456 T(x,K((y \ (z \ u)) * w,v5) * v6) = T(x,K(z * (u \ (w \ y)),v5) * v6). [hyper(17942,a,20455,a)]. given #17640 (H,wt=25): 20457 T(x,K(y * (1 \ (z \ u)),w) * v5) = T(x,K((z \ y) * u,w) * v5). [hyper(17944,a,20456,a),flip(a)]. given #17641 (H,wt=23): 20458 T(x,K((y \ z) * u,w) * v5) = T(x,K(z * (y \ u),w) * v5). [para(64(a,1),20457(a,1,2,1,1,2)),flip(a)]. given #17642 (H,wt=31): 20459 x \ (T(x \ 1,K(y * (z \ u),w) * v5) \ 1) = K(K((z \ y) * u,w) * v5,x \ 1). [para(20458(a,1),5999(a,1,2,1))]. given #17643 (H,wt=27): 20461 K(K((x \ y) * z,u) * w,v5 \ 1) = K(K(y * (x \ z),u) * w,v5 \ 1). [hyper(6000,a,20459,a),flip(a)]. given #17644 (H,wt=25): 20462 K(K((x \ y) * z,u) * w,v5 \ 1) = K(w \ K(y * (x \ z),u),v5). [hyper(286,a,16029,a(flip),b,20461,a),flip(a)]. given #17645 (H,wt=23): 20463 K(x \ K((y \ z) * u,w),v5) = K(x \ K(z * (y \ u),w),v5). [hyper(16031,a,20462,a)]. given #17646 (H,wt=33): 20460 T(x / T(y,K(z * (u \ w),v5) * v6),y) / (y \ x) = K(K((u \ z) * w,v5) * v6,T(y,x)). [para(20458(a,1),8559(a,1,1,1,2))]. given #17647 (H,wt=27): 20464 K(K((x \ y) * z,u) * w,T(v5,v6)) = K(K(y * (x \ z),u) * w,T(v5,v6)). [hyper(9076,a,20460,a),flip(a)]. given #17648 (H,wt=27): 20465 T(K(K(x * (y \ z),u) * w,T(v5,v6)),v6) = K(K((y \ x) * z,u) * w,v5). [para(20464(a,1),8144(a,1,1))]. given #17649 (H,wt=23): 20466 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x \ z),u) * w,v5). [hyper(8247,a,20465,a),flip(a)]. given #17650 (H,wt=23): 20468 K(K(x * (y \ z),u) * w,v5) = K(K(z * (y \ x),u) * w,v5). [hyper(15479,a,20466,a)]. given #17651 (H,wt=25): 20467 K(K((x \ 1) * (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). [hyper(17564,a,20466,a),flip(a)]. given #17652 (H,wt=23): 20472 K(K(x \ (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). [para(13495(a,1),20467(a,1,1,1))]. given #17653 (H,wt=23): 20474 K(K(x,y \ (z * u)) * w,v5) = K(K(x,z * (y \ u)) * w,v5). [hyper(17134,a,20472,a)]. given #17654 (H,wt=23): 20475 K(K(x,(y \ z) \ u) * w,v5) = K(K(x,y * (z \ u)) * w,v5). [hyper(16050,a,20472,a)]. given #17655 (H,wt=23): 20478 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y \ u)) * w,v5). [para(20086(a,1),20475(a,1,1,1))]. given #17656 (H,wt=25): 20469 K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K(w,(y \ x) * u) * v5,v6). [hyper(62,a,16066,a(flip),b,20466,a),flip(a)]. given #17657 (H,wt=25): 20479 K(x * K((y \ T(z,u)) * w,v5),v6) = K(K(v5,z * (y \ w)) * x,v6). [hyper(19099,a,20478,a)]. given #17658 (H,wt=25): 20480 K(K(x,(y \ 1) * (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). [hyper(17566,a,20478,a),flip(a)]. given #17659 (H,wt=23): 20483 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). [para(13501(a,1),20480(a,1,1,1))]. given #17660 (H,wt=23): 20484 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,y * (u \ z)) * w,v5). [hyper(286,a,20478,a(flip),b,20483,a),flip(a)]. given #17661 (H,wt=23): 20485 K(K(x,(y * z) \ u) * w,v5) = K(K(x,z * (u \ y)) * w,v5). [hyper(17110,a,20484,a)]. given #17662 (H,wt=27): 20470 (x * K(K(y * (z \ u),w) * v5,v6)) \ x = K(v6,K((y / z) * u,w) * v5). [para(20466(a,1),16128(a,1,1,2))]. given #17663 (H,wt=23): 20487 K(x,K((y / z) * u,w) * v5) = K(x,K(y * (z \ u),w) * v5). [hyper(15158,a,20470,a),flip(a)]. given #17664 (H,wt=26): 20488 K(x,K((y / z) * u,w) * v5) != v6 | K(x,K(y * (z \ u),w) * v5) = v6. [para(20470(a,1),6902(a,1))]. given #17665 (H,wt=27): 20473 K(K(x \ (y * (z \ u)),w) * v5,v6) = K(K(w,z * (u \ (y \ x))) * v5,v6). [hyper(18420,a,20472,a)]. given #17666 (H,wt=23): 20490 K(K(x,y * (z \ (y \ u))) * w,v5) = K(K(u \ z,x) * w,v5). [para(10(a,1),20473(a,1,1,1,1,2)),flip(a)]. given #17667 (H,wt=24): 20491 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(y \ z,w) * x,v5). [hyper(62,a,18634,a,b,20490,a)]. given #17668 (H,wt=27): 20476 K(K(x,y * (z \ u)) * ((w * v5) \ w),v6) = K(v5 \ K(x,z \ (y * u)),v6). [hyper(17592,a,20474,a),flip(a)]. given #17669 (H,wt=23): 20494 K(x \ K(y,z \ (u * w)),v5) = K(x \ K(y,u * (z \ w)),v5). [hyper(17592,a,20476,a),flip(a)]. given #17670 (H,wt=26): 20495 K(x \ K(y,z \ (u * w)),v5) != v6 | K(x \ K(y,u * (z \ w)),v5) = v6. [para(20476(a,1),17592(a,1))]. given #17671 (H,wt=27): 20481 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,u * ((z \ 1) \ y)) * w,v5). [hyper(62,a,19032,a,b,20478,a)]. given #17672 (H,wt=25): 20496 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,(u * z) * y) * w,v5). [hyper(286,a,17085,a(flip),b,20481,a),flip(a)]. given #17673 (H,wt=28): 20497 K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(x,(u * z) * y) * v5,v6). [hyper(62,a,18705,a,b,20496,a)]. given #17674 (H,wt=28): 20498 K(K(x,L(y * T(z * u,w),z,u)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). [para(14364(a,1),20497(a,1,1,1))]. given #17675 (H,wt=25): 20499 K(K(x,y * T(z * u,w)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). [hyper(17079,a,20498,a)]. given #17676 (H,wt=23): 20501 K(K(x,(y * z) * u) * w,v5) = K(K(x,y * (u * z)) * w,v5). [hyper(62,a,18622,a(flip),b,20499,a),flip(a)]. given #17677 (H,wt=25): 20502 K(K(x,y * (z * T(u,w))) * v5,v6) = K(K((y * u) * z,x) * v5,v6). [hyper(62,a,17101,a(flip),b,20501,a),flip(a)]. given #17678 (H,wt=23): 20503 K(K((x * y) * z,u) * w,v5) = K(K(x * (z * y),u) * w,v5). [hyper(62,a,16130,a(flip),b,20502,a),flip(a)]. given #17679 (H,wt=25): 20504 K(x * K((y * T(z,u)) * w,v5),v6) = K(K(y * (w * z),v5) * x,v6). [hyper(17153,a,20503,a)]. given #17680 (H,wt=29): 20477 K(K(x,y * (z \ u)) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,(y \ z) \ u)),v6). [hyper(62,a,17087,a(flip),b,20475,a),flip(a)]. given #17681 (H,wt=27): 20506 K(x * (y \ K(z,(u \ w) \ v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). [hyper(62,a,17087,a(flip),b,20477,a),flip(a)]. given #17682 (H,wt=29): 20486 K(K(x,(y * z) \ u) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,z * (u \ y))),v6). [hyper(286,a,17087,a(flip),b,20485,a),flip(a)]. given #17683 (H,wt=27): 20508 K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w * (v5 \ u))),v6). [hyper(62,a,17087,a(flip),b,20486,a)]. given #17684 (H,wt=27): 20509 K(x * (y \ K(z,u \ (w \ v5))),v6) = K(x * (y \ K(z,u * (v5 \ w))),v6). [hyper(62,a,19820,a(flip),b,20508,a)]. given #17685 (H,wt=30): 20492 K(K(x \ y,z) * (u \ w),T(v5,w)) = K(w * (u \ K(x \ R(y,v6 \ 1,v6),z)),v5). [hyper(17924,a,20491,a),flip(a)]. given #17686 (H,wt=28): 20511 K(x * (y \ K(z \ R(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [hyper(17482,a,20492,a),flip(a)]. given #17687 (H,wt=28): 20512 K(x * (y \ K(z \ L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [para(17923(a,1),20511(a,1,1,2,2))]. given #17688 (H,wt=28): 20513 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [hyper(18698,a,20512,a)]. given #17689 (H,wt=31): 20471 K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(K((y \ x) * z,T(u,w)) * v5,v6). [para(12091(a,1),20468(a,1,1,1)),flip(a)]. given #17690 (H,wt=29): 20514 K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(v5 * K(u,(y \ x) * z),v6). [hyper(286,a,16014,a(flip),b,20471,a),flip(a)]. given #17691 (H,wt=27): 20515 K(x * K(T(y,z \ u),u * (z \ w)),v5) = K(x * K(y,(z \ u) * w),v5). [hyper(16026,a,20514,a)]. given #17692 (H,wt=23): 20517 K(x * K(y,(z \ u) * w),v5) = K(x * K(y,u * (z \ w)),v5). [hyper(15481,a,20515,a),flip(a)]. given #17693 (H,wt=23): 20519 K(x * K(y,(z / u) * w),v5) = K(x * K(y,z * (u \ w)),v5). [hyper(62,a,16132,a(flip),b,20517,a)]. given #17694 (H,wt=31): 20520 K((x \ y) * K(z,u * (w \ v5)),T(v6,y)) = K(y * (x \ K(z,T(w \ u,w) * v5)),v6). [hyper(17512,a,20519,a),flip(a)]. given #17695 (H,wt=29): 20521 K(x * (y \ K(z,T(u \ w,u) * v5)),v6) = K(x * (y \ K(z,w * (u \ v5))),v6). [hyper(17475,a,20520,a),flip(a)]. given #17696 (H,wt=27): 20522 K(x * (y \ K(z,(u / w) * v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). [para(14736(a,1),20521(a,1,1,2,2))]. given #17697 (H,wt=29): 20523 K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,z * (u \ w))),v6). [hyper(62,a,17798,a,b,20522,a)]. given #17698 (H,wt=32): 20507 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,(v5 * w) * (v5 \ u))),v6). [hyper(62,a,17139,a(flip),b,20506,a)]. given #17699 (H,wt=32): 20510 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * (v5 \ (v5 * w)))),v6). [hyper(62,a,17814,a,b,20509,a)]. given #17700 (H,wt=28): 20524 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * w)),v6). [para(9(a,1),20510(a,2,1,2,2,2,2))]. given #17701 (H,wt=33): 20482 K(K(x,y * (z \ u)) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K((T(y,v7) / T(z,y)) * u,x)),v6). [hyper(17878,a,20479,a),flip(a)]. given #17702 (H,wt=31): 20525 K(x * (y \ K((T(z,u) / T(w,z)) * v5,v6)),v7) = K(x * (y \ K(z * (w \ v5),v6)),v7). [hyper(17482,a,20482,a),flip(a)]. given #17703 (H,wt=29): 20526 K(x * (y \ K((z \ T(u,w)) * v5,v6)),v7) = K(x * (y \ K(u * (z \ v5),v6)),v7). [para(17876(a,1),20525(a,1,1,2,2))]. given #17704 (H,wt=27): 20527 K(x * (y \ K((z \ u) * w,v5)),v6) = K(x * (y \ K(u * (z \ w),v5)),v6). [para(107(a,1),20526(a,1,1,2,2,1,1,2))]. given #17705 (H,wt=33): 20489 K(x,K(y * ((z \ 1) \ u),((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [hyper(62,a,20094,a(flip),b,20487,a),flip(a)]. given #17706 (H,wt=31): 20530 K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K(y * (u / (w \ 1)),z) * v5). [hyper(18572,a,20489,a)]. given #17707 (H,wt=25): 20531 K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K((z * u) * y,w) * v5). [hyper(62,a,20437,a(flip),b,20530,a),flip(a)]. given #17708 (H,wt=23): 20532 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (z * u),w) * v5). [hyper(62,a,17188,a(flip),b,20531,a),flip(a)]. given #17709 (H,wt=29): 20533 K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K(z * (u * v5),v6) * (y * v7)). [hyper(62,a,17866,a,b,20532,a)]. given #17710 (H,wt=33): 20505 K(K(x * (y * z),u) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K(K(z,v7) * ((x * z) * y),u)),v6). [hyper(17871,a,20504,a),flip(a)]. given #17711 (H,wt=31): 20535 K(x * (y \ K(K(z,u) * ((w * z) * v5),v6)),v7) = K(x * (y \ K(v6,w * (v5 * z))),v7). [hyper(17482,a,20505,a),flip(a)]. given #17712 (H,wt=27): 20536 K(x * (y \ K(z,(u * w) * v5)),v6) = K(x * (y \ K(z,u * (v5 * w))),v6). [hyper(62,a,18459,a(flip),b,20535,a)]. given #17713 (H,wt=29): 20538 K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,z * (w * u))),v6). [hyper(62,a,18560,a,b,20536,a)]. given #17714 (H,wt=32): 20537 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,v5 * ((v5 \ u) * w))),v6). [hyper(62,a,20507,a,b,20536,a)]. given #17715 (H,wt=27): 20540 K(x * (y \ K(z,u * ((u \ w) * v5))),v6) = K(x * (y \ K(z,w * v5)),v6). [hyper(62,a,20524,a(flip),b,20537,a),flip(a)]. given #17716 (H,wt=33): 20534 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (T(y,K(z,u * w)) * v6)). [hyper(62,a,16353,a(flip),b,20533,a)]. given #17717 (H,wt=27): 20543 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (y * v6)). [hyper(286,a,15443,a(flip),b,20534,a),flip(a)]. given #17718 (H,wt=25): 20545 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,u * (w * z)) * v6). [hyper(286,a,14724,a(flip),b,20543,a),flip(a)]. given #17719 (H,wt=23): 20546 K(x,T(y,(z * u) * w) * v5) = K(x,T(y,z * (u * w)) * v5). [hyper(62,a,20415,a(flip),b,20545,a)]. given #17720 (H,wt=34): 20529 K(x * (y \ K(((z \ 1) \ u) * (z \ w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [hyper(62,a,20204,a(flip),b,20527,a),flip(a)]. given #17721 (H,wt=34): 20548 K(x * (y \ K((z * u) * ((z \ 1) * w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [para(18733(a,1),20529(a,1,1,2,2))]. given #17722 (H,wt=32): 20549 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,(w * z) * (w \ u))),v6). [hyper(62,a,20523,a(flip),b,20548,a),flip(a)]. given #17723 (H,wt=32): 20550 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,w * ((w \ u) * z))),v6). [hyper(286,a,20536,a(flip),b,20549,a),flip(a)]. given #17724 (H,wt=28): 20551 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,u * z)),v6). [hyper(286,a,20540,a(flip),b,20550,a),flip(a)]. given #17725 (H,wt=23): 20553 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(62,a,20513,a(flip),b,20551,a)]. given #17726 (H,wt=24): 20554 K(a(x,y,x) * (z \ K(u,w * v5)),v6) = K(z \ K(u,v5 \ w),v6). [hyper(13175,a,20553,a),flip(a)]. given #17727 (H,wt=19): 20555 K(x \ K(y,z \ u),w) = K(x \ K(y,u * z),w). [hyper(17259,a,20554,a),flip(a)]. given #17728 (H,wt=23): 20556 K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w \ u)),v5). [hyper(20495,a,20555,a),flip(a)]. given #17729 (H,wt=35): 20547 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,T(u,v6) * (w * v5)) * y). [para(20546(a,1),17091(a,2,2))]. given #17730 (H,wt=33): 20557 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,u * (w * v5)) * y). [para(18669(a,1),20547(a,2,2))]. given #17731 (H,wt=27): 20558 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,y * T(z,u * (w * v5))). [hyper(286,a,15344,a(flip),b,20557,a),flip(a)]. given #17732 (H,wt=23): 20560 K(x,y * T(z,(u * w) * v5)) = K(x,y * T(z,u * (w * v5))). [para(167(a,1),20558(a,1,2,2,2,2))]. given #17733 (H,wt=47): 20528 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(w * ((u \ 1) \ z),y)),v6). [hyper(62,a,20440,a,b,20527,a)]. given #17734 (H,wt=45): 20561 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(y,w * (z * u))),v6). [hyper(286,a,20538,a(flip),b,20528,a),flip(a)]. given #17735 (H,wt=35): 20562 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(x \ K(y,w * (z * u)),v6). [hyper(286,a,15359,a(flip),b,20561,a),flip(a)]. given #17736 (H,wt=35): 20564 K(x \ (K(y,K(z,u * w)) * T(K(y * ((u \ 1) \ w),z),v5)),v6) = K(x \ K(z,w * (y * u)),v6). [para(8056(a,1),20562(a,1,1,2,1))]. given #17737 (H,wt=35): 20565 K(x \ T(K(y * ((z \ 1) \ u),w) * K(y,K(w,z * u)),v5),v6) = K(x \ K(w,u * (y * z)),v6). [para(15333(a,2),20564(a,1,1,2))]. given #17738 (H,wt=27): 20566 K(x \ T(K(((y \ 1) \ z) * u,w),v5),v6) = K(x \ K(w,z * (u * y)),v6). [para(12166(a,1),20565(a,1,1,2,1))]. given #17739 (H,wt=25): 20567 K(x \ K(((y \ 1) \ z) * u,w),v5) = K(x \ K(w,z * (u * y)),v5). [hyper(8876,a,20566,a)]. given #17740 (H,wt=25): 20568 K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,y * (u * z)),v5). [hyper(62,a,20463,a(flip),b,20567,a)]. given #17741 (H,wt=50): 18408 ((x * y) * K(z,T(u,y))) \ ((L(x,y,K(z,u)) * K(w,v5)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(18407(a,1),5869(a,1,1))]. given #17742 (H,wt=50): 20569 ((x * y) * K(z,T(u,y))) \ (L(x * K(w,v5),y,K(z,u)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(19254(a,2),18408(a,1,2,1))]. given #17743 (H,wt=47): 20570 ((x * y) * K(z,T(u,y))) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,T(u,y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(19939(a,1),20569(a,1,2))]. given #17744 (H,wt=51): 18318 K(x,T(y,((K(z,u) / w) \ v5) * K(z,u))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). [para(18317(a,1),13881(a,1,1,2))]. given #17745 (H,wt=51): 20571 K(x,T(y,K(z,u) * (w * (v5 * K(z,u))))) * (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) = (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) * K(x,y). [para(18799(a,1),18318(a,1,1,2))]. given #17746 (H,wt=43): 20572 K(x,T(y,z * u)) * (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) = (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) * K(x,y). [para(17287(a,1),20571(a,1,1,2))]. given #17747 (H,wt=41): 20573 K(x,T(y,z * u)) * ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). [para(13620(a,1),20572(a,1,2,1))]. given #17748 (H,wt=39): 20575 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). [para(11415(a,1),20573(a,1,2))]. given #17749 (H,wt=37): 20576 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) * K(x,y). [para(13620(a,1),20575(a,2,1,1))]. given #17750 (H,wt=35): 20577 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((z * K(w,v5)) * (K(v5,w) * u)) * K(x,y). [para(11415(a,1),20576(a,2,1))]. given #17751 (H,wt=41): 20578 ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). [para(20577(a,1),16889(a,1,2))]. given #17752 (H,wt=34): 20579 ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = a(x,K(w,v5),K(v5,w) * y). [hyper(286,a,18110,a(flip),b,20578,a),flip(a)]. given #17753 (H,wt=30): 20581 a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)) = a(x,K(w,v5),K(v5,w) * y). [hyper(62,a,20570,a(flip),b,20579,a)]. given #17754 (H,wt=52): 15654 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((K(w,K(y,z * u)) * x) \ K(((z \ 1) \ u) * y,w),v5). [para(15249(a,1),11743(a,1,1,2)),flip(a)]. given #17755 (H,wt=52): 16884 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (K(w \ u,w) * (z * u)),y). [para(16870(a,1),14472(a,1,1,2)),flip(a)]. given #17756 (H,wt=52): 19113 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = L(a(x,K(z,u),y),x * (K(z,u) * y),K(u,L(z,y,x))). [para(7736(a,2),19112(a,2,2)),flip(a)]. given #17757 (H,wt=38): 20585 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = a(x,K(z,u),y). [hyper(286,a,18110,a(flip),b,19113,a),flip(a)]. given #17758 (H,wt=34): 20587 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),x * y))) = a(x,K(z,u),y). [para(8930(a,1),20585(a,1,2,2))]. given #17759 (H,wt=30): 20588 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(7712(a,1),20587(a,1,2,2))]. given #17760 (H,wt=27): 20590 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,y))) = a(x,K(z,u),y). [para(11778(a,1),20588(a,1,2,2))]. given #17761 (H,wt=31): 20591 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,x),y,x),T(z,y))) = a(x,K(z,T(u,x)),y). [para(7736(a,1),20590(a,1,2,1,1))]. given #17762 (H,wt=31): 20592 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,T(u,x)),y). [para(7791(a,1),20591(a,1,2,2))]. given #17763 (H,wt=29): 20593 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,u),y). [hyper(286,a,19035,a(flip),b,20592,a),flip(a)]. given #17764 (H,wt=29): 20595 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,y),x),y,x))) = a(x,K(z,u),y). [para(11780(a,1),20593(a,1,2,2))]. given #17765 (H,wt=26): 20596 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,y),x)))) = a(x,K(z,u),y). [para(19211(a,1),20595(a,1,2))]. given #17766 (H,wt=24): 20597 (x * y) \ ((K(z,u) * x) * (K(u,T(z,x)) * y)) = a(x,K(z,u),y). [para(7766(a,1),20596(a,1,2,2))]. given #17767 (H,wt=22): 20598 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(11415(a,1),20597(a,1,2))]. given #17768 (H,wt=17): 20599 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(5874,a,20598,a)]. given #17769 (H,wt=41): 20600 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(62,a,11464,a(flip),b,20599,a)]. given #17770 (H,wt=33): 20601 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(5846(a,1),20600(a,1,1,1))]. given #17771 (H,wt=33): 20602 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(17206(a,1),20601(a,1,2,1))]. given #17772 (H,wt=25): 20603 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(5846(a,1),20602(a,1,2,2,1))]. given #17773 (H,wt=23): 20604 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(17369(a,1),20603(a,1,2))]. given #17774 (H,wt=22): 20605 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(16733(a,1),20604(a,1,2))]. given #17775 (H,wt=13): 20607 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(62,a,20598,a(flip),b,20605,a)]. given #17776 (H,wt=15): 20608 a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). [hyper(286,a,19312,a,b,20607,a)]. given #17777 (H,wt=15): 20609 a(T(x,y),K(z,u),w) = a(w,K(u,z),x). [hyper(286,a,19312,a(flip),b,20607,a),flip(a)]. given #17778 (H,wt=15): 20610 a(T(x,y),K(z,u),w) = a(x,K(z,u),w). [hyper(62,a,20607,a,b,20608,a)]. given #17779 (H,wt=17): 20606 a(x,K(y,z),K(z,y) * u) = a(u,K(z,y),x). [hyper(5874,a,20605,a)]. given #17780 (H,wt=18): 20611 a(L(x,y,K(z,u)),K(w,v5),v6) = a(v6,K(v5,w),x). [para(18098(a,2),20609(a,1,1))]. given #17781 (H,wt=25): 20613 a(K(x,y) * (K(z,u) * w),K(x,y),v5) = a(v5,K(y,x),K(x,y) * w). [hyper(62,a,20581,a(flip),b,20611,a),flip(a)]. given #17782 (H,wt=28): 20612 (T(x,y) * (z * K(u,w))) \ ((T(x,y) * K(u,T(w,z))) * z) = a(x,K(u,w),z). [hyper(62,a,19039,a,b,20610,a)]. given #17783 (H,wt=31): 20615 (T(x,y) * (z * K(u,w))) \ (L(T(x,y),K(u,w),z) * (z * K(u,w))) = a(x,K(u,w),z). [para(17215(a,2),20612(a,1,2))]. given #17784 (H,wt=26): 20616 ((x * K(y,z)) * T(u,w)) \ (x * (K(y,z) * T(u,w))) = a(u,K(y,z),x). [hyper(62,a,13841,a(flip),b,20615,a)]. given #17785 (H,wt=28): 20617 ((x * K(y,z)) * u) \ (T(x,u) * (K(y,z) * T(u,x))) = a(u,K(y,z),T(x,u)). [para(15272(a,1),20616(a,1,1))]. given #17786 (H,wt=28): 20618 ((x * K(y,z)) * u) \ T(x * (K(y,z) * u),K(x,u)) = a(u,K(y,z),T(x,u)). [para(8635(a,2),20617(a,1,2))]. given #17787 (H,wt=24): 20619 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). [para(15244(a,1),20618(a,1,2))]. given #17788 (H,wt=22): 20620 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(x,K(z,y),u). [hyper(286,a,20608,a(flip),b,20619,a),flip(a)]. given #17789 (H,wt=21): 20622 a(x / K(y,z),K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(62,a,7482,a,b,20620,a)]. given #17790 (H,wt=21): 20623 a(x * K(y,z),K(y,z),u) = a(x,K(y,z),K(z,y) * u). [para(11(a,1),20622(a,1,1)),flip(a)]. given #17791 (H,wt=21): 20624 a(K(x,y) * z,K(x,y),u) = a(z,K(x,y),K(y,x) * u). [hyper(62,a,17938,a,b,20623,a)]. given #17792 (H,wt=25): 20625 a(K(x,y) * z,K(u,w),K(w,u) * v5) = a(v5,K(w,u),K(u,w) * z). [hyper(62,a,20613,a(flip),b,20624,a),flip(a)]. given #17793 (H,wt=21): 20626 a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),K(z,y) * v5). [hyper(62,a,20606,a(flip),b,20625,a)]. given #17794 (H,wt=17): 20640 a(x,K(y,z),K(u,w) * v5) = a(v5,K(z,y),x). [hyper(286,a,20606,a(flip),b,20626,a),flip(a)]. given #17795 (H,wt=16): 20648 a(x,K(y,z),u) != w | a(u,K(z,y),x) = w. [para(20640(a,1),12412(a,1))]. given #17796 (H,wt=18): 20650 a(x,K(y,z),T(u,w)) != v5 | a(u,K(z,y),x) = v5. [para(19312(a,2),20648(a,1))]. given #17797 (H,wt=20): 20651 a(x,K(y,z),K(z,y) * u) != w | a(u,K(z,y),x) = w. [para(20599(a,2),20648(a,1))]. given #17798 (H,wt=21): 20649 a(x,K(y,z),u * ((K(w,v5) * u) \ v6)) = a(v6,K(z,y),x). [para(18852(a,1),20640(a,1,3))]. given #17799 (H,wt=25): 20652 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),y) = w. [para(20605(a,2),20648(a,1))]. given #17800 (H,wt=35): 20654 L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(w,K(z,y),x). [hyper(62,a,20213,a,b,20649,a)]. given #17801 (H,wt=52): 20583 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((x \ K(K(y,z * u),w)) * K(((z \ 1) \ u) * y,w),v5). [para(13630(a,1),15654(a,2,1))]. given #17802 (H,wt=52): 20584 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)) * K(w \ u,w),y). [hyper(286,a,17380,a(flip),b,16884,a),flip(a)]. given #17803 (H,wt=50): 20657 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(w,u) * (((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)),y). [hyper(286,a,16016,a(flip),b,20584,a),flip(a)]. given #17804 (H,wt=48): 20658 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * T(u,w)),y). [hyper(286,a,17445,a(flip),b,20657,a),flip(a)]. given #17805 (H,wt=46): 20659 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (T(u,w) * z)) \ (z * T(u,w)),y). [hyper(286,a,17595,a(flip),b,20658,a),flip(a)]. given #17806 (H,wt=46): 20660 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(T(u,w),z),T(y,T(u,w) * z)). [hyper(286,a,19447,a(flip),b,20659,a),flip(a)]. given #17807 (H,wt=46): 20661 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(u,T(z,w)),T(y,T(u,w) * z)). [para(7777(a,1),20660(a,2,1,2))]. given #17808 (H,wt=46): 20662 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,T(u,w) * z)). [para(16766(a,1),20661(a,2,1))]. given #17809 (H,wt=44): 20663 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,u * z)). [hyper(286,a,15747,a(flip),b,20662,a),flip(a)]. given #17810 (H,wt=42): 20665 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,z)),T(y,u * z)). [hyper(286,a,15449,a(flip),b,20663,a),flip(a)]. given #17811 (H,wt=40): 20667 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T((x * K(u,z)) / z,u),y). [hyper(286,a,20198,a(flip),b,20665,a),flip(a)]. given #17812 (H,wt=38): 20668 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). [para(6613(a,1),20667(a,2,1,2,1))]. given #17813 (H,wt=36): 20669 K(x,L(T(y,K(z \ u,z) * (w * u)),K(w,u),((z \ u) * z) * w)) = K(w * T(x / T(w,u),u),y). [para(16870(a,1),20668(a,1,2,1,2))]. given #17814 (H,wt=34): 20670 K(x,L(T(y,K(z,u) * (w * z)),K(w,z),((u \ z) * u) * w)) = K(w * T(x / T(w,z),z),y). [para(14748(a,1),20669(a,1,2,1))]. given #17815 (H,wt=32): 20671 K(x,L(T(y,z * T(u,w)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). [para(15104(a,1),20670(a,1,2,1))]. given #17816 (H,wt=21): 20672 K(x * T(y / T(x,z),z),u) = K(y,T(u,x * T(z,w))). [hyper(17373,a,20671,a),flip(a)]. given #17817 (H,wt=19): 20674 K(x * T(y / T(x,z),z),u) = K(y,T(u,x * z)). [hyper(286,a,15749,a(flip),b,20672,a),flip(a)]. given #17818 (H,wt=25): 20675 (x \ K(y * T(z / T(y,u),u),w)) \ (x \ 1) = K(w,T(z,u \ y)). [para(20674(a,2),14963(a,1,1,2))]. given #17819 (H,wt=25): 20676 (x \ K(T(y,z) * T(u / y,z),w)) \ (x \ 1) = K(w,T(u,z \ y)). [para(19194(a,2),20675(a,1,1,2))]. given #17820 (H,wt=19): 20677 K(x,T(y,z) * T(u / y,z)) = K(x,T(u,z \ y)). [hyper(13581,a,20676,a)]. given #17821 (H,wt=43): 20678 K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),(y * z) * w)) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [para(455(a,2),20677(a,2,2,2))]. given #17822 (H,wt=43): 20679 K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [hyper(62,a,20560,a(flip),b,20678,a)]. given #17823 (H,wt=43): 20680 K(x,T(y * (z * u),y * (z * w)) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [hyper(62,a,20546,a(flip),b,20679,a)]. given #17824 (H,wt=31): 20681 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * z)) \ (v5 * (w * u)))). [hyper(62,a,20677,a(flip),b,20680,a),flip(a)]. given #17825 (H,wt=31): 20682 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * u)) * (v5 * (w * z)))). [hyper(286,a,14952,a(flip),b,20681,a),flip(a)]. given #17826 (H,wt=31): 20683 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,v5 * ((w * u) * (v5 * (w * z))))). [hyper(286,a,18992,a(flip),b,20682,a),flip(a)]. given #17827 (H,wt=27): 20684 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(w * u) * (w * z))). [hyper(286,a,18998,a(flip),b,20683,a),flip(a)]. given #17828 (H,wt=27): 20686 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,w * (u * (w * z)))). [hyper(286,a,18992,a(flip),b,20684,a),flip(a)]. given #17829 (H,wt=23): 20687 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,u * z)). [hyper(286,a,18998,a(flip),b,20686,a),flip(a)]. given #17830 (H,wt=18): 20689 K(x,T(y,z \ L(u,w,v5))) = K(x,T(y,u * z)). [hyper(62,a,16717,a(flip),b,20687,a)]. given #17831 (H,wt=18): 20690 K(x,T(y,L(z,u,w) * v5)) = K(x,T(y,z * v5)). [hyper(14964,a,20689,a)]. given #17832 (H,wt=22): 20692 K(x,K(y,L(z,u,w) * v5)) = K(x,y) * K(y,T(x,z * v5)). [para(20690(a,1),8082(a,1,2)),flip(a)]. given #17833 (H,wt=18): 20693 K(x,K(y,L(z,u,w) * v5)) = K(x,K(y,z * v5)). [hyper(286,a,8082,a(flip),b,20692,a),flip(a)]. given #17834 (H,wt=23): 20695 K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,20240,a(flip),b,20693,a),flip(a)]. given #17835 (H,wt=23): 20698 K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,19021,a,b,20695,a)]. given #17836 (H,wt=40): 20699 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * (1 * z)))). [para(20698(a,1),19106(a,2,2))]. given #17837 (H,wt=38): 20700 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * z))). [para(7(a,1),20699(a,2,2,2,2,2,2))]. given #17838 (H,wt=33): 20701 K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * (z * u))) = K(x,(((z \ 1) * u) \ w) \ y). [hyper(62,a,20120,a(flip),b,20700,a),flip(a)]. given #17839 (H,wt=52): 20656 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(((z \ 1) \ u) * y,w)),v5). [hyper(286,a,17474,a(flip),b,20583,a),flip(a)]. given #17840 (H,wt=50): 20702 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(w,(y * z) * u)),v5). [hyper(286,a,18615,a(flip),b,20656,a),flip(a)]. given #17841 (H,wt=42): 20703 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(x \ K(w,(y * z) * u),v5). [hyper(286,a,15359,a(flip),b,20702,a),flip(a)]. given #17842 (H,wt=25): 20704 K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,(y * z) * u),v5). [hyper(18104,a,20703,a)]. given #17843 (H,wt=23): 20708 K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w * u)),v5). [hyper(62,a,20568,a(flip),b,20704,a),flip(a)]. given #17844 (H,wt=23): 20709 K(x \ K(y,z * (u \ w)),v5) = K(x \ K(y,z * (u * w)),v5). [hyper(62,a,20556,a(flip),b,20708,a)]. given #17845 (H,wt=25): 20710 K(x \ K(y,z * (y * u)),(y \ z) * u) = K(x,((y \ z) * u) \ 1). [hyper(19849,a,20709,a),flip(a)]. given #17846 (H,wt=23): 20712 K(x \ K(y,z * u),(y \ z) * u) = K(x,((y \ z) * u) \ 1). [hyper(17149,a,20710,a)]. given #17847 (H,wt=23): 20713 K(x \ K(y,z * u),(y \ z) * u) = K(x,u \ ((y \ z) \ 1)). [hyper(286,a,13506,a(flip),b,20712,a),flip(a)]. given #17848 (H,wt=26): 20714 K(x \ K(y,z * u),(y \ z) * u) != w | K(x,u \ ((y \ z) \ 1)) = w. [para(20712(a,2),13749(a,1))]. given #17849 (H,wt=29): 20711 K(x \ K(y,z * (y * u)),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). [hyper(13865,a,20709,a),flip(a)]. given #17850 (H,wt=27): 20715 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). [hyper(17149,a,20711,a)]. given #17851 (H,wt=27): 20716 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(u \ 1) * ((z \ 1) * y)). [para(6420(a,1),20715(a,2,2))]. given #17852 (H,wt=25): 20717 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,u \ ((z \ 1) * y)). [hyper(286,a,13501,a(flip),b,20716,a),flip(a)]. given #17853 (H,wt=23): 20718 K(x \ K(y,z * u),(z \ y) \ u) = K(x,u \ ((z \ 1) * y)). [hyper(62,a,20063,a(flip),b,20717,a)]. given #17854 (H,wt=23): 20719 K(x \ K(y,z * u),(y \ z) * u) = K(x,u \ ((z \ 1) * y)). [hyper(62,a,20086,a(flip),b,20718,a)]. given #17855 (H,wt=19): 20720 K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). [hyper(20714,a,20719,a)]. given #17856 (H,wt=17): 20721 K(x,y \ ((z \ u) \ 1)) = K(x,y \ (u \ z)). [hyper(286,a,20053,a(flip),b,20720,a),flip(a)]. given #17857 (H,wt=29): 20722 K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,((y \ u) \ z) \ (u \ (y * z))). [hyper(62,a,13790,a(flip),b,20721,a)]. given #17858 (H,wt=29): 20723 K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,(z \ (y \ u)) * (u \ (y * z))). [hyper(286,a,20086,a(flip),b,20722,a),flip(a)]. given #17859 (H,wt=27): 20724 K(x,((y * z) \ u) \ (z \ (y \ u))) = K(x,(z \ (y \ u)) * (u \ (y * z))). [hyper(62,a,20721,a(flip),b,20723,a)]. given #17860 (H,wt=22): 20725 K(x,(y \ (z \ u)) * (u \ (z * y))) = a(z,y,K(x,y \ u)). [hyper(14492,a,20724,a),flip(a)]. given #17861 (H,wt=25): 20726 K(x,(y \ (z \ u)) * (u \ (z * y))) != w | a(z,y,K(x,y \ u)) = w. [para(20724(a,1),14492(a,1))]. given #17862 (H,wt=53): 16934 K(x,K(y,(K(z,T(u,w)) * v5) \ v6)) * K(x,y * (((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1))) = K(x,(((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1)) * y). [para(16929(a,1),12193(a,1,1,2,2))]. given #17863 (H,wt=53): 20727 K(x,K(y,(z \ u) * K(T(w,v5),v6))) * K(x,y * (((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1))) = K(x,(((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1)) * y). [para(18290(a,1),16934(a,1,1,2))]. given #17864 (H,wt=47): 20728 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(15803(a,1),20727(a,1,1))]. given #17865 (H,wt=47): 20729 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) * 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(8099(a,1),20728(a,1,2,2,2,2))]. given #17866 (H,wt=45): 20731 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ K(w,K(v5,v6)))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(8(a,1),20729(a,1,2,2,2,2))]. given #17867 (H,wt=43): 20732 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 * (((K(y,T(z,v5)) * u) \ w) \ 1)). [para(16933(a,1),20731(a,1,2,2,2)),flip(a)]. given #17868 (H,wt=41): 20733 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / ((K(y,T(z,v5)) * u) \ w)). [para(13554(a,1),20732(a,2,2))]. given #17869 (H,wt=41): 20734 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(T(z,v5),y) * w))). [para(18139(a,1),20733(a,2,2))]. given #17870 (H,wt=41): 20735 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(z,T(y,v5)) * w))). [para(7777(a,1),20734(a,2,2,2,2,2,1))]. given #17871 (H,wt=39): 20736 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(18784(a,1),20735(a,2,2))]. given #17872 (H,wt=39): 20737 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) * 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(8099(a,1),20736(a,1,2,1,2))]. given #17873 (H,wt=37): 20739 K(x,(((K(y,z) * u) \ w) \ K(y,K(z,v5))) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(8(a,1),20737(a,1,2,1,2))]. given #17874 (H,wt=35): 20740 K(x,(((K(y,T(z,u)) * w) \ v5) \ 1) * v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). [para(16933(a,1),20739(a,1,2,1))]. given #17875 (H,wt=33): 20741 K(x,((K(y,T(z,u)) * w) \ v5) \ v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). [hyper(13560,a,20740,a)]. given #17876 (H,wt=33): 20742 K(x,(y \ (K(T(z,u),w) * v5)) \ v6) = K(x,K(v6,y \ v5)) * K(x,v6 / (y \ (v5 * K(w,z)))). [hyper(62,a,18155,a(flip),b,20741,a)]. given #17877 (H,wt=31): 20743 K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(z \ (K(v5,w) * u)) \ y). [para(107(a,1),20742(a,1,2,1,2,1,1)),flip(a)]. given #17878 (H,wt=30): 20744 K(x,(K(y,L(z,u,w \ 1)) \ ((w \ u) \ 1)) * v5) = K(x,(w \ (K(z,y) * u)) \ v5). [hyper(62,a,18897,a(flip),b,20743,a)]. given #17879 (H,wt=30): 20745 K(x,(K(L(y,z,u \ 1),w) * ((u \ z) \ 1)) * v5) = K(x,(u \ (K(y,w) * z)) \ v5). [para(5839(a,1),20744(a,1,2,1))]. given #17880 (H,wt=30): 20746 K(x,(K(y,L(z,u,w \ 1)) * ((w \ u) \ 1)) * v5) = K(x,(w \ (K(y,z) * u)) \ v5). [para(11780(a,1),20745(a,1,2,1,1))]. given #17881 (H,wt=25): 20747 K(x,((y \ (z * K(u,w))) \ 1) * v5) = K(x,(y \ (K(w,u) * z)) \ v5). [para(18487(a,1),20746(a,1,2,1))]. given #17882 (H,wt=23): 20748 K(x,(y \ (K(z,u) * w)) \ v5) = K(x,(y \ (w * K(u,z))) \ v5). [hyper(13560,a,20747,a),flip(a)]. given #17883 (H,wt=54): 16355 K(x,L(y / T(z * K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) = K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))). [para(8107(a,1),15466(a,1,2,1,2,1))]. given #17884 (H,wt=39): 20749 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) \ v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [hyper(18104,a,16355,a),flip(a)]. given #17885 (H,wt=39): 20751 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) * v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(8099(a,1),20749(a,1,2,2,1,1))]. given #17886 (H,wt=39): 20752 K(x,(y * K(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(15317(a,2),20751(a,1,2,2))]. given #17887 (H,wt=27): 20753 K(x,(y * K(z,K(u,w))) / T(v5,v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(15200(a,1),20752(a,1,2,2,1))]. given #17888 (H,wt=27): 20754 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,(y / T(z,v6)) * K(u,K(w,v5))). [para(16802(a,1),20753(a,1,2)),flip(a)]. given #17889 (H,wt=21): 20755 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,y / T(z,v6)). [hyper(286,a,15393,a(flip),b,20754,a),flip(a)]. given #17890 (H,wt=56): 14595 K(x,L((y \ z) / T(u / K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(11119(a,1),14434(a,2,2,1))]. given #17891 (H,wt=56): 20757 K(x,L((y \ z) / T(u * K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(8107(a,1),14595(a,1,2,1,2,1))]. given #17892 (H,wt=41): 20758 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5 * K(z,K(u,w)),v6)). [hyper(18104,a,20757,a),flip(a)]. given #17893 (H,wt=35): 20760 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5,v6)). [hyper(286,a,20755,a(flip),b,20758,a),flip(a)]. given #17894 (H,wt=35): 20762 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) * v5,v6))) = K(x,(y \ z) / T(v5,v6)). [para(8099(a,1),20760(a,1,2,2,2,1))]. given #17895 (H,wt=35): 20763 K(x,(y \ T(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,(y \ z) / T(v5,v6)). [para(15333(a,2),20762(a,1,2,2))]. given #17896 (H,wt=23): 20764 K(x,(y \ T(z,K(u,w))) / T(v5,v6)) = K(x,(y \ z) / T(v5,v6)). [para(15200(a,1),20763(a,1,2,2,1))]. given #17897 (H,wt=23): 20765 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,(z \ u) / T(y,z \ u)). [hyper(62,a,15388,a(flip),b,20764,a)]. given #17898 (H,wt=19): 20767 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [hyper(286,a,13096,a(flip),b,20765,a),flip(a)]. given #17899 (H,wt=23): 20768 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ (y * w))). [hyper(62,a,20335,a,b,20767,a)]. given #17900 (H,wt=57): 18243 K(x,(y \ (z * K(u,w))) \ v5) * a(y \ z,K(u,L(w,z,y \ 1)),K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5))) = K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5)). [para(18233(a,1),11842(a,1,1,2,1))]. given #17901 (H,wt=28): 20770 K(x,K(y,L(z,u,w \ 1)) \ ((w \ u) \ v5)) = K(x,(w \ (u * K(y,z))) \ v5). [hyper(17365,a,18243,a),flip(a)]. given #17902 (H,wt=28): 20771 K(x,K(L(y,z,u \ 1),w) * ((u \ z) \ v5)) = K(x,(u \ (z * K(w,y))) \ v5). [para(5839(a,1),20770(a,1,2))]. given #17903 (H,wt=23): 20772 K(x,(y \ (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y \ z) \ v5)). [hyper(17092,a,20771,a),flip(a)]. given #17904 (H,wt=23): 20775 K(x,(y \ (K(z,u) * w)) \ v5) = K(x,K(z,u) * ((y \ w) \ v5)). [hyper(62,a,20748,a,b,20772,a)]. given #17905 (H,wt=26): 20773 K(x,(y \ (z * K(u,w))) \ v5) != v6 | K(x,K(w,u) * ((y \ z) \ v5)) = v6. [para(20771(a,1),17092(a,1))]. given #17906 (H,wt=29): 20777 K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,((K(y,z) * w) / u) \ v5). [hyper(62,a,18840,a(flip),b,20775,a),flip(a)]. given #17907 (H,wt=32): 20776 K(x,K(y,L(z,u,w)) * ((T(w,K(y,z) * u) \ u) \ v5)) = K(x,(K(y,z) * (u / w)) \ v5). [hyper(62,a,18843,a(flip),b,20775,a),flip(a)]. given #17908 (H,wt=29): 20778 K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,(K(y,z) * (w / u)) \ v5). [hyper(17042,a,20776,a)]. given #17909 (H,wt=23): 20780 K(x,((K(y,z) * u) / w) \ v5) = K(x,(K(y,z) * (u / w)) \ v5). [hyper(62,a,20777,a(flip),b,20778,a)]. given #17910 (H,wt=23): 20781 K(x,((K(y,z) * u) / w) \ v5) = K(x,((u / w) \ v5) * K(z,y)). [hyper(286,a,18290,a(flip),b,20780,a),flip(a)]. given #17911 (H,wt=23): 20782 K(x,(y / (K(z,u) * w)) \ v5) = K(x,((y / w) \ v5) * K(z,u)). [hyper(62,a,18657,a(flip),b,20781,a)]. given #17912 (H,wt=27): 20783 K(x,((y / z) \ T(u,z \ y)) * K(w,v5)) = K(x,u / (y / (K(w,v5) * z))). [hyper(17548,a,20782,a),flip(a)]. given #17913 (H,wt=23): 20784 K(x,y / (z / (K(u,w) * v5))) = K(x,(y / (z / v5)) * K(u,w)). [hyper(62,a,19673,a(flip),b,20783,a),flip(a)]. given #17914 (H,wt=23): 20785 K(x,y / (z / (K(u,w) * v5))) = K(x,y * ((z / v5) \ K(u,w))). [hyper(286,a,18646,a(flip),b,20784,a),flip(a)]. given #17915 (H,wt=25): 20786 K(x,y * ((z \ K(u,w)) \ (v5 \ 1))) = K(x,y * ((v5 / z) \ K(w,u))). [hyper(13867,a,20785,a)]. given #17916 (H,wt=23): 20791 K(x,y / (z * (u \ K(w,v5)))) = K(x,y * ((z / u) \ K(v5,w))). [hyper(62,a,20408,a(flip),b,20786,a)]. given #17917 (H,wt=23): 20792 K(x,y * ((z / u) \ K(w,v5))) = K(x,y * (u * (z \ K(w,v5)))). [hyper(62,a,17296,a(flip),b,20791,a),flip(a)]. given #17918 (H,wt=25): 20788 K(x,y * ((z / (T(u,w) * v5)) \ K(w,u))) = K(x,y / (z / (u * v5))). [para(4644(a,1),20785(a,1,2,2,2)),flip(a)]. given #17919 (H,wt=31): 20790 K(x,y * ((z / (T(u,w) * v5)) \ K(u,T(v6,w)))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [para(7813(a,1),20785(a,1,2,2,2)),flip(a)]. given #17920 (H,wt=29): 20793 K(x,y * ((z / (T(u,w) * v5)) \ K(u,v6))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [hyper(16847,a,20790,a)]. given #17921 (H,wt=29): 20794 K(x,y * ((z / (T(u,w) * v5)) \ K(v6,u))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [hyper(17804,a,20793,a)]. given #17922 (H,wt=23): 20797 K(x,y / (z / (T(T(u,w),w) * v5))) = K(x,y / (z / (u * v5))). [hyper(62,a,20788,a(flip),b,20794,a),flip(a)]. given #17923 (H,wt=35): 20787 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w \ 1))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(62,a,20217,a(flip),b,20785,a),flip(a)]. given #17924 (H,wt=33): 20798 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(62,a,18589,a(flip),b,20787,a)]. given #17925 (H,wt=29): 20799 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / ((u \ 1) * v5))). [hyper(286,a,20797,a(flip),b,20798,a),flip(a)]. given #17926 (H,wt=29): 20801 K(x,y * ((T(z \ 1,u) * w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). [hyper(62,a,20792,a(flip),b,20799,a)]. given #17927 (H,wt=27): 20802 K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). [hyper(62,a,20212,a(flip),b,20801,a)]. given #17928 (H,wt=23): 20803 K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) * (z \ 1))). [hyper(62,a,20308,a(flip),b,20802,a),flip(a)]. given #17929 (H,wt=21): 20804 K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) / z)). [hyper(286,a,20136,a(flip),b,20803,a),flip(a)]. given #17930 (H,wt=25): 20805 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y / (((z \ 1) * u) \ w)). [hyper(62,a,20423,a(flip),b,20804,a),flip(a)]. given #17931 (H,wt=21): 20806 K(x,y / (((z \ 1) * u) \ w)) = K(x,y * (w \ (z \ u))). [hyper(62,a,17736,a(flip),b,20805,a),flip(a)]. given #17932 (H,wt=31): 20807 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(((u \ 1) * w) \ z) \ y). [para(20806(a,1),20701(a,1,1))]. given #17933 (H,wt=21): 20808 K(x,(((y \ 1) * z) \ u) \ w) = K(x,(u \ (y \ z)) * w). [hyper(62,a,18990,a(flip),b,20807,a),flip(a)]. given #17934 (H,wt=21): 20809 K(x,(y \ ((z \ 1) * u)) * w) = K(x,(y \ (z \ u)) * w). [hyper(62,a,20086,a(flip),b,20808,a)]. given #17935 (H,wt=57): 20297 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,(T(y,z) \ 1) / ((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z))))). [para(8646(a,1),20296(a,2,2,2,1))]. given #17936 (H,wt=57): 20810 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z)))) \ 1)). [hyper(286,a,6432,a,b,20297,a),flip(a)]. given #17937 (H,wt=57): 20811 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((w * T(u,T(y \ 1,z))) \ 1) \ (T(y,z) * (u \ 1)))). [para(6436(a,1),20810(a,2,2,2))]. given #17938 (H,wt=53): 20812 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). [hyper(286,a,20768,a(flip),b,20811,a),flip(a)]. given #17939 (H,wt=41): 20813 K(x,(T(y,z) \ 1) \ (u \ ((u * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). [hyper(19942,a,20812,a)]. given #17940 (H,wt=35): 20815 K(x,y \ (((z * T(u,T(y \ 1,w))) \ 1) \ (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [hyper(62,a,20372,a(flip),b,20813,a),flip(a)]. given #17941 (H,wt=33): 20817 K(x,y \ ((z * T(u,T(y \ 1,w))) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [hyper(62,a,20061,a(flip),b,20815,a)]. given #17942 (H,wt=31): 20818 K(x,y \ ((z * T(u,y \ 1)) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [para(107(a,1),20817(a,1,2,2,1,2,2))]. given #17943 (H,wt=27): 20819 K(x,y \ ((z * u) * ((u \ 1) * y))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [para(10832(a,1),20818(a,1,2,2))]. given #17944 (H,wt=27): 20820 K(x,((((y * z) \ u) \ 1) / z) * u) = K(x,u * (z \ ((z * y) * (u \ 1)))). [hyper(20300,a,20819,a)]. given #17945 (H,wt=25): 20821 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,(z * ((u * z) \ y)) \ y). [hyper(20077,a,20820,a),flip(a)]. given #17946 (H,wt=25): 20822 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,y \ ((u * z) * (z \ y))). [hyper(286,a,20277,a(flip),b,20821,a),flip(a)]. given #17947 (H,wt=24): 20823 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,R(T(u,y),z,z \ y)). [para(673(a,1),20822(a,2,2))]. given #17948 (H,wt=24): 20824 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,L(T(u,y),z,z \ y)). [hyper(286,a,14373,a(flip),b,20823,a),flip(a)]. given #17949 (H,wt=30): 20825 (x \ K(y,z)) * K(u,L(T(w,x),v5,v5 \ x)) = v5 \ ((v5 * K(u,w)) * (x \ K(y,z))). [para(20824(a,1),19851(a,1,2))]. given #17950 (H,wt=29): 20826 (x * ((K(y,T(z,u)) * x) \ u)) \ K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). [hyper(62,a,19580,a(flip),b,20825,a)]. given #17951 (H,wt=27): 20827 ((x / y) * (y * K(z,u))) \ K(w,v5) = y \ ((y * K(u,z)) * (x \ K(w,v5))). [para(18856(a,1),20826(a,1,1))]. given #17952 (H,wt=29): 20828 x \ ((x * K(y,z)) * ((u \ K(w,u)) \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [hyper(62,a,19565,a(flip),b,20827,a),flip(a)]. given #17953 (H,wt=27): 20829 x \ ((x * K(y,z)) * T(u,u \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [para(109(a,2),20828(a,1,2,2))]. given #17954 (H,wt=25): 20830 x \ ((x * K(y,z)) * T(u,K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [para(12186(a,1),20829(a,1,2,2))]. given #17955 (H,wt=21): 20831 (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). [para(1342(a,1),20830(a,1,2,2)),flip(a)]. given #17956 (H,wt=24): 20832 x \ ((x * K(y,z)) * (K(z,y) * u)) = u * a(z,u,K(y,u * x)). [hyper(62,a,20349,a(flip),b,20831,a),flip(a)]. given #17957 (H,wt=17): 20833 x * a(y,x,K(z,x * u)) = L(x,K(y,z),u). [hyper(18864,a,20832,a),flip(a)]. given #17958 (H,wt=58): 19436 K(x,T(a(y,y \ 1,(y \ 1) \ z),(y * z) \ 1) \ ((a(y,y \ 1,(y \ 1) \ z) \ ((y \ 1) \ z)) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [para(14060(a,1),19435(a,1,2,2,1,2))]. given #17959 (H,wt=52): 20834 K(x,a(y,y \ 1,(y \ 1) \ z) \ ((a(y,y \ 1,(y \ 1) \ z) \ ((y \ 1) \ z)) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [para(10761(a,1),19436(a,1,2,1))]. given #17960 (H,wt=46): 20835 K(x,a(y,y \ 1,(y \ 1) \ z) \ (L((y \ 1) \ z,y \ 1,y) \ u)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [para(4567(a,1),20834(a,1,2,2,1))]. given #17961 (H,wt=58): 19655 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,((z \ u) \ u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13841(a,2),19654(a,1,2))]. given #17962 (H,wt=56): 20837 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z,u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13393(a,1),19655(a,1,2,2,1))]. given #17963 (H,wt=56): 20838 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z \ 1,u)) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13429(a,2),20837(a,1,2,2,1))]. given #17964 (H,wt=56): 20839 K(x,T((y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,z \ 1) * ((((z \ u) \ u) \ 1) * w)),u)) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(18386(a,2),20838(a,1,2))]. given #17965 (H,wt=32): 20840 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(w,u,K(x,y \ 1)). [hyper(62,a,20361,a(flip),b,20839,a),flip(a)]. given #17966 (H,wt=30): 20842 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(x,u,K(w,y)). [hyper(286,a,14193,a(flip),b,20840,a),flip(a)]. given #17967 (H,wt=28): 20844 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y,z) \ (u * w))) = a(x,u,K(w,y)). [hyper(62,a,20052,a(flip),b,20842,a)]. given #17968 (H,wt=28): 20845 K(x,(y \ ((z \ 1) * ((u \ w) \ w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20089,a(flip),b,20844,a)]. given #17969 (H,wt=33): 20843 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) != v5 | a(x,u,K(w,y)) = v5. [para(20840(a,2),14287(a,1))]. given #17970 (H,wt=31): 20846 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y,z) \ (u * w))) != v5 | a(x,u,K(w,y)) = v5. [para(20052(a,1),20843(a,1))]. given #17971 (H,wt=65): 16282 T(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u))) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [hyper(6067,a,16281,a)]. given #17972 (H,wt=63): 20847 T(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y)) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(15102(a,1),16282(a,1,1))]. given #17973 (H,wt=57): 20849 T(K(x / (y \ z),u) * x,z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(15676(a,1),20847(a,1,1))]. given #17974 (H,wt=57): 20850 T(x * K((y \ z) \ x,u),z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(6941(a,1),20849(a,1,1,1))]. given #17975 (H,wt=51): 20851 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u)))) = K(u,x / (y \ z)). [hyper(62,a,4811,a(flip),b,20850,a)]. given #17976 (H,wt=49): 20852 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y))) = K(u,x / (y \ z)). [para(15077(a,1),20851(a,1,2,2))]. given #17977 (H,wt=41): 20853 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x * K(x / (y \ z),u),x)) = K(u,x / (y \ z)). [para(8155(a,1),20852(a,1,2,2))]. given #17978 (H,wt=39): 20856 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x,K(x / (y \ z),u))) = K(u,x / (y \ z)). [para(15672(a,1),20853(a,1,2,2))]. given #17979 (H,wt=39): 20857 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,x / (y \ z)))) = K(u,x / (y \ z)). [para(8060(a,1),20856(a,1,2,2))]. given #17980 (H,wt=39): 20858 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ (y * x)))) = K(u,x / (y \ z)). [para(9605(a,2),20857(a,1,2,2,2))]. given #17981 (H,wt=37): 20859 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ y))) = K(u,x / (y \ z)). [para(10852(a,1),20858(a,1,2,2))]. given #17982 (H,wt=37): 20860 T(x * K((y \ z) \ x,u),z \ y) \ T(x * K(u,K(x,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). [para(15317(a,2),20859(a,1,2))]. given #17983 (H,wt=35): 20861 T(x * K((y \ z) \ x,u),z \ y) \ T(T(x,K(u,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). [para(8061(a,1),20860(a,1,2,1))]. given #17984 (H,wt=27): 20862 T(x * K((y \ z) \ x,u),z \ y) \ T(x,z \ y) = K(u,x / (y \ z)). [para(7939(a,1),20861(a,1,2))]. given #17985 (H,wt=51): 20864 T(x * K(((y \ 1) * (K(z,u) / w)) \ x,v5),1 \ ((w * K(u,z)) * y)) \ T(x,1 \ ((w * K(u,z)) * y)) = K(v5,x / (((w * K(u,z)) * y) \ 1)). [para(13594(a,1),20862(a,1,1,1,2,1,1))]. given #17986 (H,wt=51): 20865 T(x * K((y * ((z \ 1) \ K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). [para(19143(a,1),20864(a,1,1,1,2))]. given #17987 (H,wt=49): 20866 T(x * K((y * (z * K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). [para(13487(a,1),20865(a,1,1,1,2,1,1,2))]. given #17988 (H,wt=49): 20867 T(x * K((y * z) * (x * K(u,w)),v5),1 \ ((y * K(u,w)) * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(19147(a,1),20866(a,1,1,1,2))]. given #17989 (H,wt=47): 20868 T(x * K((y * z) * (x * K(u,w)),v5),(y * K(u,w)) * z) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(64(a,1),20867(a,1,1,2))]. given #17990 (H,wt=47): 20869 T(x * K((y * z) * (x * K(u,w)),v5),K(u,w) * (y * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(17026(a,1),20868(a,1,1))]. given #17991 (H,wt=45): 20870 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,1 \ ((z * K(x,y)) * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(16992(a,1),20869(a,1,1))]. given #17992 (H,wt=43): 20871 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,(z * K(x,y)) * u) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(64(a,1),20870(a,1,2,2))]. given #17993 (H,wt=43): 20872 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,K(x,y) * (z * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(17026(a,1),20871(a,1,2))]. given #17994 (H,wt=25): 20873 K(x,y / (((z * K(u,w)) * v5) \ 1)) = K(x,y * (K(u,w) * (z * v5))). [hyper(62,a,13599,a(flip),b,20872,a),flip(a)]. given #17995 (H,wt=23): 20874 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (K(u,w) * (z * v5))). [hyper(13619,a,20873,a)]. given #17996 (H,wt=37): 20875 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * (v6 * T(y \ z,v6)))). [hyper(62,a,17119,a,b,20874,a)]. given #17997 (H,wt=35): 20877 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * ((y \ z) * v6))). [para(108(a,1),20875(a,2,2,2,2))]. given #17998 (H,wt=29): 20878 K(x,K(y,z) * (K(u,w) * ((v5 \ y) * v6))) = K(x,(v5 \ T(y,z)) * (K(u,w) * v6)). [hyper(16846,a,20877,a),flip(a)]. given #17999 (H,wt=32): 20879 K(x,K(y,z) * (K(u,w) * ((v5 \ y) * v6))) != v7 | K(x,(v5 \ T(y,z)) * (K(u,w) * v6)) = v7. [para(20877(a,1),16846(a,1))]. given #18000 (H,wt=40): 20876 K(x,K(y,K(z,u) * w) * (K(z,T(u,w)) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [hyper(62,a,18492,a(flip),b,20874,a),flip(a)]. given #18001 (H,wt=38): 20881 K(x,K(y,K(z,u) * w) * (K(z,u) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [hyper(16846,a,20876,a)]. given #18002 (H,wt=34): 20882 K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,K(z,v5) * (K(u,w) * ((y \ z) * v6))). [hyper(16088,a,20881,a),flip(a)]. given #18003 (H,wt=32): 20883 K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,(y \ T(z,v5)) * (K(u,w) * v6)). [hyper(286,a,20878,a(flip),b,20882,a),flip(a)]. given #18004 (H,wt=27): 20884 K(x,(y \ T(K(z,u) * w,v5)) * v6) = K(x,(y \ T(w,v5)) * (K(z,u) * v6)). [hyper(62,a,18153,a(flip),b,20883,a)]. given #18005 (H,wt=31): 20886 K(x,(y \ T(z * u,z)) * (K(u \ w,u) * v5)) = K(x,(y \ ((w / (w / u)) * z)) * v5). [hyper(62,a,19852,a(flip),b,20884,a),flip(a)]. given #18006 (H,wt=29): 20887 K(x,K(y,z) * ((u \ T(w * y,w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). [hyper(17068,a,20886,a)]. given #18007 (H,wt=27): 20888 K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). [hyper(62,a,19986,a(flip),b,20887,a)]. given #18008 (H,wt=25): 20889 K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (T(u,z) * w)) * v5). [hyper(62,a,19608,a(flip),b,20888,a),flip(a)]. given #18009 (H,wt=25): 20890 K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [hyper(62,a,19613,a,b,20889,a)]. given #18010 (H,wt=25): 20891 K(x,(y \ (((z \ u) \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [para(109(a,1),20890(a,1,2,1,2,1))]. given #18011 (H,wt=69): 16349 T(x \ K(x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). [para(9080(a,1),16347(a,1,1,2))]. given #18012 (H,wt=67): 20892 T(x \ K(x \ (K(y,z \ (u \ 1)) * K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). [para(5862(a,1),16349(a,1,1,1,2,1,2))]. given #18013 (H,wt=61): 20893 T(x \ K(x \ K(y,z \ (u \ 1)),w),K(y,z \ (u \ 1))) \ T(x \ 1,T(K(y,u \ (z \ 1)) * K(y,K(u,z)),w)) = K(w,x \ ((K(y,u \ (z \ 1)) \ 1) \ K(y,K(u,z)))). [para(9080(a,1),20892(a,1,1,1,2,1,2))]. given #18014 (H,wt=59): 20894 T(x \ K(x \ K(y * z,u),w),K(u,z \ (y \ 1))) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). [para(16142(a,1),20893(a,1,1,1,2))]. given #18015 (H,wt=57): 20895 T(x \ K(x \ K(y * z,u),w),K(u,y * z)) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). [para(11885(a,1),20894(a,1,1))]. given #18016 (H,wt=55): 20896 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,y \ (z \ 1)) * K(x,K(y,z)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(15988(a,1),20895(a,1,1))]. given #18017 (H,wt=49): 20897 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,z \ (y \ 1)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(9080(a,1),20896(a,1,2,2,1))]. given #18018 (H,wt=47): 20898 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,z \ (y \ 1))) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(15053(a,1),20897(a,1,2))]. given #18019 (H,wt=45): 20899 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,y * z)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(11885(a,1),20898(a,1,2))]. given #18020 (H,wt=29): 20901 K(x,y \ ((K(z,u \ (w \ 1)) \ 1) \ K(z,K(u,w)))) = K(x,y \ K(z,u * w)). [hyper(62,a,16308,a(flip),b,20899,a),flip(a)]. given #18021 (H,wt=27): 20902 K(x,y \ (K(z,u \ (w \ 1)) * K(z,K(u,w)))) = K(x,y \ K(z,u * w)). [hyper(62,a,20061,a(flip),b,20901,a)]. given #18022 (H,wt=21): 20903 K(x,y \ K(z,u \ (w \ 1))) = K(x,y \ K(z,w * u)). [para(9080(a,1),20902(a,1,2,2))]. given #18023 (H,wt=29): 20904 K(x,(x \ T((y * x) \ x,z)) \ K(y,y * x)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,13998,a(flip),b,20903,a),flip(a)]. given #18024 (H,wt=29): 20905 K(x,(x \ T((y * x) \ x,z)) \ K(y,x * y)) = K(x,y * (x * K(z,y \ 1))). [para(5991(a,2),20904(a,1,2,2))]. given #18025 (H,wt=27): 20906 K(x,(x \ T((y * x) \ x,z)) \ K(y,x)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,13132,a(flip),b,20905,a)]. given #18026 (H,wt=25): 20907 K(x,(x \ T((y * x) \ x,z)) \ 1) = K(x,y * (x * K(z,y \ 1))). [hyper(8535,a,20906,a)]. given #18027 (H,wt=23): 20908 K(x,T((y * x) \ x,z) \ x) = K(x,y * (x * K(z,y \ 1))). [hyper(6979,a,20907,a)]. given #18028 (H,wt=23): 20909 K(x,T(((y * x) \ x) \ x,z)) = K(x,y * (x * K(z,y \ 1))). [hyper(9655,a,20908,a)]. given #18029 (H,wt=21): 20910 K(x,T(T(y * x,x),z)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,8972,a(flip),b,20909,a)]. given #18030 (H,wt=19): 20911 K(x,y * (x * K(z,y \ 1))) = K(x,T(y * x,z)). [hyper(4872,a,20910,a),flip(a)]. given #18031 (H,wt=17): 20913 K(x,K(y,z) * (z * x)) = K(x,T(z * x,y)). [hyper(62,a,17049,a(flip),b,20911,a)]. given #18032 (H,wt=15): 20914 K(x,T(y * x,z)) = K(x,T(y,z) * x). [hyper(62,a,14724,a(flip),b,20913,a),flip(a)]. given #18033 (H,wt=15): 20915 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(286,a,5991,a(flip),b,20914,a),flip(a)]. given #18034 (H,wt=22): 20912 K(x,y * (x * K(z,y \ 1))) != u | K(x,T(y * x,z)) = u. [para(20910(a,1),4872(a,1))]. given #18035 (H,wt=41): 20916 K(x,(y \ (K(z,T(u * z,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(20915(a,2),19086(a,1,2,1,2,1))]. given #18036 (H,wt=41): 20917 K(x,K(T(y * z,u),z) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). [hyper(62,a,19604,a(flip),b,20916,a)]. given #18037 (H,wt=41): 20918 K(x,K(y * z,T(z,u)) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). [para(7777(a,1),20917(a,1,2,1))]. given #18038 (H,wt=39): 20919 K(x,K(y,z * y) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). [hyper(16098,a,20918,a)]. given #18039 (H,wt=39): 20920 K(x,K(y,y * z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). [hyper(16110,a,20919,a)]. given #18040 (H,wt=37): 20922 K(x,(y \ (((z \ u) \ u) * (w * K(z,T(w,u))))) * v5) = K(x,K(w,z) * ((y \ (((z \ u) \ u) * w)) * v5)). [hyper(62,a,13117,a(flip),b,20920,a),flip(a)]. given #18041 (H,wt=33): 20923 K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (T((z \ w) \ w,y) * y)) * v5). [para(7779(a,1),20922(a,1,2,1,2)),flip(a)]. given #18042 (H,wt=31): 20924 K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (y * ((z \ w) \ w))) * v5). [hyper(286,a,19612,a(flip),b,20923,a),flip(a)]. given #18043 (H,wt=29): 20925 K(x,(y \ (((z \ u) \ u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [hyper(62,a,19674,a(flip),b,20924,a)]. given #18044 (H,wt=27): 20926 K(x,(y \ (T(z,u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [hyper(62,a,20891,a(flip),b,20925,a)]. given #18045 (H,wt=27): 20927 K(x,(y \ (K(z,u) * (w * z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [para(5717(a,2),20926(a,1,2,1,2))]. given #18046 (H,wt=27): 20928 K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * ((z \ y) \ y))) * v5). [hyper(62,a,19604,a(flip),b,20927,a)]. given #18047 (H,wt=25): 20929 K(x,(y \ (z * ((u \ w) \ w))) * v5) = K(x,(y \ (z * T(u,w))) * v5). [hyper(62,a,19672,a(flip),b,20928,a),flip(a)]. given #18048 (H,wt=26): 20930 K(x,(y \ ((z \ 1) * T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20845,a(flip),b,20929,a),flip(a)]. given #18049 (H,wt=24): 20931 K(x,(y \ (z \ T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20809,a(flip),b,20930,a)]. given #18050 (H,wt=17): 20932 a(x,y,K(z,y \ T(u,w))) = a(z,x,K(y,u)). [hyper(20726,a,20931,a)]. given #18051 (H,wt=11): 20935 a(x,x,K(y,z)) != u | 1 = u. [para(20932(a,1),14221(a,1))]. given #18052 (H,wt=11): 20936 a(K(x,y),y,z) != u | 1 = u. [para(14172(a,2),20935(a,1))]. given #18053 (H,wt=11): 20937 a(x,y,K(z,y)) != u | 1 = u. [para(14178(a,2),20935(a,1))]. given #18054 (H,wt=13): 20938 a(x,y,K(y \ 1,z)) != u | 1 = u. [para(14190(a,2),20935(a,1))]. given #18055 (H,wt=13): 20939 K(x,a(y \ 1,y,z)) != u | 1 = u. [para(14192(a,1),20938(a,1))]. given #18056 (H,wt=15): 20933 a(x,y,K(z,u \ y)) = a(x,z,K(y,u)). [hyper(62,a,19275,a(flip),b,20932,a)]. given #18057 (H,wt=15): 20934 a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). [para(107(a,1),20932(a,1,3,2,2))]. given #18058 (H,wt=15): 20940 a(x \ y,x,K(z,u)) = a(z,u,K(y,x)). [hyper(62,a,14229,a,b,20933,a)]. given #18059 (H,wt=15): 20941 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(286,a,14178,a(flip),b,20934,a),flip(a)]. given #18060 (H,wt=15): 20942 a(x,y,K(z \ y,u)) = a(x,u,K(z,y)). [hyper(14253,a,20940,a)]. given #18061 (H,wt=19): 20943 K(x,L(y,z,z \ u)) = K(x,y) * a(u,y,K(x,z)). [para(20941(a,1),14199(a,1,2)),flip(a)]. given #18062 (H,wt=19): 20944 K(x,y) * a(z * u,y,K(x,z)) = K(x,L(y,z,u)). [para(9(a,1),20943(a,1,2,3)),flip(a)]. given #18063 (H,wt=17): 20945 K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). [para(14534(a,1),20944(a,1,2))]. given #18064 (H,wt=13): 20946 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(33,a,14199,a,b,20945,a)]. given #18065 (H,wt=15): 20947 a(x,y,K(z,y * u)) = a(u,x,K(z,y)). [hyper(286,a,14534,a(flip),b,20946,a),flip(a)]. given #18066 (H,wt=15): 20948 x * a(y,z,K(u,x)) = L(x,K(z,u),y). [para(20947(a,1),20833(a,1,2))]. given #18067 (H,wt=13): 20949 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(62,a,18097,a(flip),b,20948,a),flip(a)]. given #18068 (H,wt=35): 20950 L(x \ L(x,y,K(z * ((K(y,u) * z) \ w),u)),x,w * a(y,z,K(w \ z,u))) = a(w,K(u,y),x). [para(20949(a,1),20654(a,1,1,2))]. given #18069 (H,wt=35): 20951 L(x \ L(x,y,K(z * ((z \ u) * K(w,y)),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). [para(19587(a,1),20950(a,1,1,2,3))]. given #18070 (H,wt=31): 20952 L(x \ L(x,y,K(z * (z \ u),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). [para(9143(a,1),20951(a,1,1,2,3))]. given #18071 (H,wt=27): 20953 L(x \ L(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). [para(10(a,1),20952(a,1,1,2,3,1))]. given #18072 (H,wt=25): 20955 L(a(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). [para(18099(a,1),20953(a,1,1))]. given #18073 (H,wt=23): 20956 L(a(x,y,K(z,u)),x,z * a(y,u,K(z,w))) = a(z,K(u,y),x). [para(20942(a,1),20955(a,1,3,2))]. given #18074 (H,wt=21): 20957 L(a(x,y,K(z,u)),x,L(z,u,K(w,y))) = a(z,K(u,y),x). [para(18095(a,1),20956(a,1,3))]. given #18075 (H,wt=21): 20958 a(x,y,K(z,L(u,x,L(z,u,K(w,y))))) = a(z,K(u,y),x). [hyper(62,a,12576,a,b,20957,a)]. -------- Proof 1 -------- "aK2_eq_aK3 (4312)". ============================== PROOF ================================= % Proof 1 at 4948.89 (+ 213.74) seconds: "aK2_eq_aK3 (4312)". % Length of proof is 16776. % Level of proof is 936. % Maximum clause weight is 69.000. % Given clauses 18075 (19.311 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(u,z,K(x,y)) # label("aK2_eq_aK3 (4312)") # 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 (1 / x) * (1 / y) = 1 / (y * x) # label("AAIP"). [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]. 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(c4,c3,K(c1,c2)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3 (4312)") # answer("aK2_eq_aK3 (4312)"). [deny(6)]. 64 1 \ x = x. [para(7(a,1),9(a,1,2))]. 65 x \ x = 1. [para(8(a,1),9(a,1,2))]. 66 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. 67 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. 68 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. 69 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. 70 x / x = 1. [para(7(a,1),11(a,1,1))]. 71 x / 1 = x. [para(8(a,1),11(a,1,1))]. 72 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. 73 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. 74 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. 75 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. 76 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. 77 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. 78 ((x * (x \ y)) / z) * z = y. [para(12(a,2),10(a,1))]. 80 (x * y) \ ((x * y) * 1) = a(x,y,1). [para(8(a,1),14(a,2,1,2)),flip(a)]. 81 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. 82 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. 83 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),14(a,2,1,2)),flip(a)]. 84 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. 85 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. 86 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. 87 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. 88 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. 89 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. 90 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. 91 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. 92 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. 93 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. 94 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. 95 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. 96 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. 97 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(12(a,1),18(a,2,2))]. 98 (x * y) / (x * y) = R(1,x,y). [para(7(a,1),20(a,2,1,1)),flip(a)]. 99 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. 100 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. 101 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. 102 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(10(a,1),20(a,2,1))]. 103 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(10(a,1),20(a,2,2)),flip(a)]. 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 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(23(a,1),25(a,1,1))]. 112 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)]. 113 ((1 / (x * y)) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). [para(32(a,1),20(a,2,1,1)),flip(a)]. 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 | y = x. [para(7(a,1),42(a,1)),flip(a)]. 118 1 * x != y | x = y. [para(7(a,1),42(a,2))]. 119 x * y != x | 1 = y. [para(8(a,1),42(a,1)),flip(a)]. 121 x * y != z | x \ z = y. [para(10(a,1),42(a,1)),flip(a)]. 122 (x / y) * z != x | z = y. [para(12(a,1),42(a,2))]. 123 x * 1 != y | y = x. [para(8(a,1),43(a,1)),flip(a)]. 124 x * 1 != y | x = y. [para(8(a,1),43(a,2))]. 125 x \ (x * (y * z)) != u * z | y = u. [para(9(a,2),43(a,1))]. 126 x * (y \ z) != z | x = y. [para(10(a,1),43(a,2))]. 127 x * y != z | z / y = x. [para(12(a,1),43(a,1)),flip(a)]. 128 ((x * y) / z) * z != u * y | x = u. [para(12(a,2),43(a,1))]. 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) != z | y = x. [para(9(a,1),47(a,1)),flip(a)]. 136 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),48(a,1))]. 138 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),48(a,1)),flip(a)]. 139 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),49(a,1))]. 140 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),49(a,1))]. 141 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),50(a,1))]. 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 \ (z * y)) = x * T(z,y). [hyper(57,a,22,a),flip(a)]. 145 x * (y * (y \ z)) = x * z. [hyper(57,a,10,a)]. 146 ((x / y) * y) / z = x / z. [hyper(58,a,12,a)]. 147 (x * (x \ y)) \ z = y \ z. [hyper(60,a,10,a)]. 149 (x * y) / y = (x / z) * z. [hyper(62,a,12,a,b,11,a(flip)),flip(a)]. 150 (x / y) * y = z * (z \ x). [hyper(62,a,12,a,b,10,a(flip))]. 151 (x * y) / y = 1 * x. [hyper(62,a,11,a,b,7,a(flip))]. 152 x \ (x * y) = z * (z \ y). [hyper(62,a,10,a,b,9,a(flip)),flip(a)]. 153 x * (x \ y) = y * 1. [hyper(62,a,10,a,b,8,a(flip))]. 154 1 \ (x * (x \ y)) = y. [hyper(62,a,64,a,b,10,a)]. 155 (x * (x \ 1)) \ y = y. [para(10(a,2),64(a,1,1))]. 156 ((1 / x) * x) \ y = y. [para(12(a,2),64(a,1,1))]. 157 1 \ x != y | x = y. [para(64(a,1),46(a,2))]. 158 x \ y != y | 1 = x. [para(64(a,1),47(a,1)),flip(a)]. 159 K(x,x) = 1. [hyper(62,a,16,a,b,65,a)]. 160 (x \ x) * y = y. [para(65(a,2),7(a,1,1))]. 162 T(x,R(x,y,z)) = x. [hyper(41,a,27,a,b,107,a(flip))]. 163 T(x,L(x,y,z)) = x. [hyper(40,a,25,a,b,107,a(flip))]. 164 T(x,T(x,y)) = x. [hyper(39,a,23,a,b,107,a(flip))]. 165 T(T(x,y),x) = T(x,y). [para(107(a,1),23(a,1,1)),flip(a)]. 166 T(L(x,y,z),x) = L(x,y,z). [para(107(a,1),25(a,1,1)),flip(a)]. 167 x * K(y,y) = x. [para(159(a,2),8(a,1,2))]. 168 x / (y \ x) = z * (z \ y). [hyper(62,a,73,a,b,10,a(flip))]. 169 (x / (y \ x)) \ z = y \ z. [hyper(60,a,73,a)]. 170 (x / (y \ x)) * z = y * z. [hyper(56,a,73,a)]. 171 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(35,a,20,a(flip),b,73,a),flip(a)]. 172 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),73(a,1,2))]. 173 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),73(a,1,2))]. 174 (x * y) / T(x,y) = y. [para(22(a,2),73(a,1,2))]. 175 x / y != z | z \ x = y. [para(73(a,1),44(a,1)),flip(a)]. 176 x / (y / ((z \ x) \ y)) = z. [para(73(a,2),73(a,1,2))]. 177 (x / y) \ x = z * (z \ y). [hyper(62,a,76,a,b,10,a(flip))]. 178 (x / y) \ x = z \ (z * y). [hyper(62,a,76,a,b,9,a(flip))]. 179 ((x / y) \ x) * z = y * z. [hyper(56,a,76,a)]. 180 x * ((y / (x \ z)) \ y) = z. [hyper(37,a,9,a,b,76,a(flip))]. 181 ((x / (y / z)) \ x) \ y = z. [hyper(35,a,73,a,b,76,a(flip))]. 182 x \ y != z | y / z = x. [para(76(a,1),47(a,1)),flip(a)]. 183 L(x,y,z) != (u \ u) * L(w,y,z) | w = x. [para(160(a,2),49(a,1)),flip(a)]. 184 R(x,y,z) != (u \ u) * R(w,y,z) | w = x. [para(160(a,2),50(a,1)),flip(a)]. 185 ((1 / x) * x) * y != z | y = z. [para(12(a,2),118(a,1,1))]. 188 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),124(a,1,2))]. 189 x * ((1 / y) * y) != z | x = z. [para(12(a,2),124(a,1,2))]. 191 T(x,R(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,162,a(flip))]. 192 K(x,L(x,y,z)) = 1. [hyper(54,a,163,a)]. 193 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(67(a,1),20(a,2,1))]. 195 L(x \ 1,x,y) = (y * x) \ y. [para(68(a,1),18(a,2,2))]. 196 (x / y) * y = ((1 / z) * z) * x. [hyper(62,a,74,a,b,12,a(flip)),flip(a)]. 197 R(1 / x,x,y) = y / (x * y). [para(74(a,1),20(a,2,1))]. 198 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(75(a,1),14(a,2,1)),flip(a)]. 199 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(75(a,1),18(a,2,2))]. 200 x * T(y / x,x) = y. [hyper(62,a,108,a,b,12,a)]. 201 (x \ y) * T(x,x \ y) = y. [hyper(62,a,108,a,b,10,a)]. 202 x * (y * T(z,y)) = x * (z * y). [hyper(57,a,108,a)]. 203 T((x * y) / x,x) = y. [hyper(33,a,12,a(flip),b,108,a),flip(a)]. 204 (x * T(y,x)) / x = y. [hyper(34,a,12,a,b,108,a(flip))]. 205 x \ (y * T(x,y)) = y. [hyper(33,a,10,a,b,108,a(flip))]. 206 (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)]. 207 (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)]. 208 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(108(a,1),16(a,2,1)),flip(a)]. 209 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(108(a,1),18(a,2,1)),flip(a)]. 210 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(108(a,1),18(a,2,2,2)),flip(a)]. 211 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(108(a,1),20(a,2,1,1)),flip(a)]. 212 T(x,y) \ (x * y) = T(y,T(x,y)). [para(108(a,1),22(a,2,2)),flip(a)]. 213 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),108(a,1,2))]. 214 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),108(a,1,2))]. 215 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),108(a,1,2))]. 216 x * y != z | y * u != z | T(x,y) = u. [para(108(a,1),33(a,1))]. 217 x * y != z * x | T(z,x) = y. [para(108(a,1),42(a,1)),flip(a)]. 218 x * T(y,x) != z * x | y = z. [para(108(a,2),43(a,1))]. 219 x * T(y,x) != z * x | z = y. [para(108(a,2),43(a,2)),flip(a)]. 220 T(x,y) * x = x * T(x,y). [para(164(a,1),108(a,1,2))]. 221 x * 1 != y | T(x,1) = y. [para(108(a,1),117(a,1)),flip(b)]. 222 T(x / (x / y),x / y) = y. [hyper(62,a,110,a,b,76,a)]. 223 T(T(x / y,z),y) = T(y \ x,z). [para(110(a,1),23(a,1,1)),flip(a)]. 224 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(110(a,1),25(a,1,1)),flip(a)]. 225 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(110(a,1),27(a,1,1)),flip(a)]. 226 x / y != 1 * z | z * y = x. [para(151(a,1),45(a,1)),flip(a)]. 227 (x * y) / y != z | z = x. [para(151(a,2),117(a,1))]. 228 (x * y) / y != z | x = z. [para(151(a,2),118(a,1))]. 229 x \ (y * (y \ x)) = 1. [hyper(33,a,10,a,b,153,a(flip))]. 230 x * 1 != y * z | y \ x = z. [para(153(a,1),42(a,1))]. 232 x * (x \ y) != z | z = y. [para(153(a,2),123(a,1))]. 233 x * (x \ y) != z | y = z. [para(153(a,2),124(a,1))]. 234 x != y | z * (z \ x) = y. [para(154(a,1),157(a,1))]. 235 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(62,a,18,a,b,155,a),flip(a)]. 236 K(x \ 1,x) = (x \ 1) * x. [hyper(62,a,16,a,b,155,a)]. 237 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(62,a,18,a,b,156,a),flip(a)]. 238 K(x,1 / x) = x * (1 / x). [hyper(62,a,16,a,b,156,a)]. 239 K(T(x,y),x) = 1. [hyper(54,a,165,a)]. 240 x / T(y,y \ x) = y \ x. [para(10(a,1),174(a,1,1))]. 241 (T(x,y) * z) / T(T(x,z),y) = z. [para(23(a,1),174(a,1,2))]. 242 (x * y) / z != y | T(x,y) = z. [para(174(a,1),44(a,1)),flip(a)]. 243 T(T((x * y) / x,z),x) = T(y,z). [para(203(a,1),23(a,1,1)),flip(a)]. 244 T(x,y) != z | (y * z) / y = x. [para(203(a,1),48(a,1)),flip(a)]. 245 K(x,(y * x) / y) = 1. [para(203(a,1),239(a,1,1))]. 246 x / y != z | y * T(z,y) = x. [para(204(a,1),45(a,1)),flip(a)]. 247 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(25(a,2),205(a,1,2,2))]. 248 T(x,(y * x) / y) = x. [hyper(55,a,245,a)]. 249 T(x \ y,y / x) = x \ y. [para(10(a,1),248(a,1,2,1))]. 251 T(x,1) = x. [hyper(221,a,8,a)]. 252 K(x,1) = 1. [hyper(54,a,251,a)]. 253 T(1,x) = 1. [hyper(53,a,251,a)]. 255 x / x != y | 1 = y. [para(7(a,1),227(a,1,1)),flip(b)]. 256 (x * y) / T(x,y) != z | z = y. [para(108(a,1),227(a,1,1))]. 257 (x * T(y,x)) / x != z | z = y. [para(108(a,2),227(a,1,1))]. 258 x / (y \ x) != z | y = z. [para(10(a,1),228(a,1,1))]. 259 (x * T(y,x)) / x != z | y = z. [para(108(a,2),228(a,1,1))]. 261 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),232(a,1,2)),flip(b)]. 262 x * T(y,x) != z | y * x = z. [para(22(a,2),232(a,1,2)),flip(b)]. 263 (x / y) * y != z | z = x. [para(76(a,1),232(a,1,2))]. 264 x * y != z | y * T(x,y) = z. [para(205(a,1),232(a,1,2)),flip(b)]. 265 (x / y) * y != z | x = z. [para(76(a,1),233(a,1,2))]. 266 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),263(a,1,1)),flip(b)]. 267 1 / (x * (1 / x)) != y | 1 = y. [para(32(a,1),263(a,1)),flip(b)]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(69(a,1),18(a,2,2))]. 270 ((x \ y) * x) * K(x,x \ y) = y. [hyper(62,a,85,a,b,10,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),85(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(12(a,1),85(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),18(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(85(a,1),20(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(85(a,1),42(a,1)),flip(a)]. 277 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(85(a,1),174(a,1,1))]. 278 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(234,a,109,a),flip(a)]. 279 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(61,a,109,a)]. 280 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(59,a,109,a)]. 281 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(57,a,109,a)]. 282 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(56,a,109,a)]. 283 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(109(a,1),23(a,1,1)),flip(a)]. 284 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(109(a,1),25(a,1,1)),flip(a)]. 285 x / T(y,y \ x) != z | y \ x = z. [para(109(a,2),258(a,1,2))]. 286 x != y | z != y | x = z. [para(7(a,1),114(a,1))]. 288 ((x / y) * y) * z != u | x \ u = z. [para(142(a,2),121(a,1))]. 289 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(286,a,10,a,b,145,a)]. 290 (x / (y * (y \ z))) * z = x. [hyper(265,a,145,a),flip(a)]. 291 x / (y \ ((x / z) * z)) = y. [hyper(258,a,146,a),flip(a)]. 294 x / y != (z / u) * u | z * y = x. [para(149(a,1),45(a,1)),flip(a)]. 295 ((x / y) * y) * z != u | x * z = u. [para(149(a,1),263(a,1,1)),flip(b)]. 296 x / K(y,y \ x) = (y \ x) * y. [hyper(34,a,85,a,b,150,a),flip(a)]. 297 (x / y) * y != z * u | z \ x = u. [para(150(a,2),42(a,1))]. 298 x * (x \ y) != z * u | y / u = z. [para(150(a,1),43(a,1))]. 299 x \ (x * y) != z * u | z \ y = u. [para(152(a,2),42(a,1))]. 300 x * (y * (y \ z)) != u | x * z = u. [para(152(a,1),232(a,1,2)),flip(b)]. 301 x \ (x * y) != z | z = y. [para(152(a,2),232(a,1))]. 302 x \ (x * y) != z | y = z. [para(152(a,2),233(a,1))]. 303 (x / y) \ x != z | z = y. [para(12(a,1),301(a,1,2))]. 304 x \ (y * x) != z | T(y,x) = z. [para(108(a,1),301(a,1,2)),flip(b)]. 305 x \ (y * 1) != z | x \ y = z. [para(153(a,1),301(a,1,2)),flip(b)]. 306 x \ y != z | T(y / x,x) = z. [para(200(a,1),301(a,1,2)),flip(b)]. 307 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),301(a,1,2)),flip(b)]. 308 (x / y) \ x != z | y = z. [para(12(a,1),302(a,1,2))]. 309 T(x,x) != y | x = y. [para(22(a,2),302(a,1))]. 310 x / y != z * (z \ u) | u \ x = y. [para(168(a,1),44(a,1)),flip(a)]. 311 (x * (x \ y)) \ z != u | y \ z = u. [para(168(a,1),303(a,1,1)),flip(b)]. 312 x \ y != z * (z \ u) | y / u = x. [para(177(a,1),47(a,1)),flip(a)]. 313 ((x / y) \ x) * (y \ z) = z. [hyper(286,a,10,a(flip),b,179,a),flip(a)]. 314 (x / y) * ((z / y) \ z) = x. [para(76(a,1),180(a,1,2,1,2))]. 315 (x \ y) * z != y | T(x,x \ y) = z. [para(201(a,1),42(a,1)),flip(a)]. 317 x * T(x \ 1,x) = K(x \ 1,x). [hyper(286,a,108,a,b,236,a)]. 318 (x \ 1) \ K(x \ 1,x) = x. [hyper(121,a,236,a(flip))]. 319 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(236(a,2),14(a,2,1,2)),flip(a)]. 321 x \ K(x,1 / x) = 1 / x. [hyper(121,a,238,a(flip))]. 322 x \ y != y / z | T(x,x \ y) = z. [para(240(a,1),44(a,1))]. 323 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),290(a,1,1))]. 324 (x / ((y / z) * z)) * y = x. [para(76(a,1),290(a,1,1,2,2))]. 326 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(240(a,1),313(a,1,1,1))]. 327 x * ((y / z) \ y) != u | u / z = x. [para(314(a,1),43(a,1)),flip(a)]. 328 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(240(a,1),314(a,1,2,1))]. 329 (x \ 1) * x != y | K(x \ 1,x) = y. [para(318(a,1),232(a,1,2)),flip(b)]. 331 x * (1 / x) != y | K(x,1 / x) = y. [para(321(a,1),232(a,1,2)),flip(b)]. 332 R(x,y / z,z) * y = (x * (y / z)) * z. [para(20(a,2),324(a,1,1))]. 333 x \ (x * y) = L(y,x,1). [para(7(a,1),90(a,1,2))]. 334 L(x,y,1) = x. [hyper(302,a,333,a),flip(a)]. 335 L(x,y,1) != z | z = x. [para(333(a,1),301(a,1))]. 337 x \ (x * y) = L(y,1,x). [para(8(a,1),91(a,1,1))]. 338 L(x,1,y) = x. [hyper(302,a,337,a),flip(a)]. 339 L(x,1,y) != z | z = x. [para(337(a,1),301(a,1))]. 340 L(x,1,y) != z | x = z. [para(337(a,1),302(a,1))]. 341 L(x,1,y) = z \ (z * x). [hyper(286,a,9,a,b,338,a),flip(a)]. 342 L(x,1,y) != z \ (z * u) | u = x. [para(341(a,1),49(a,1)),flip(a)]. 343 R(1,x,y) = 1. [hyper(255,a,98,a),flip(a)]. 346 (x * y) / y = R(x,1,y). [para(8(a,1),99(a,1,1,1))]. 347 R(x,1,y) = x. [hyper(228,a,346,a),flip(a)]. 350 (x * y) / y = R(x,y,1). [para(8(a,1),100(a,1,2))]. 351 R(x,y,1) = x. [hyper(228,a,350,a),flip(a)]. 353 L(x \ 1,x,1 / x) = 1 / x. [hyper(286,a,156,a(flip),b,195,a),flip(a)]. 354 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(286,a,147,a(flip),b,195,a),flip(a)]. 355 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(60,a,195,a)]. 356 x / L(y \ 1,y,x) = x * y. [hyper(182,a,195,a(flip))]. 357 (x * y) * L(y \ 1,y,x) = x. [hyper(131,a,195,a(flip))]. 358 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),195(a,2,1))]. 359 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(195(a,1),25(a,2,1)),flip(a)]. 360 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(195(a,1),30(a,1,1)),flip(a)]. 361 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(56,a,197,a)]. 362 R(1 / x,x,y) \ y = x * y. [hyper(175,a,197,a(flip))]. 363 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),197(a,2,2))]. 364 R(1 / (x / y),x / y,y) = y / x. [para(12(a,1),197(a,2,2))]. 365 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(197(a,1),27(a,2,1)),flip(a)]. 366 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(197(a,1),31(a,1,1)),flip(a)]. 368 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(108(a,1),217(a,2))]. 371 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),218(a,1,2))]. 372 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),230(a,1,2))]. 373 x * ((1 / y) * y) != z * u | z \ x = u. [para(12(a,2),230(a,1,2))]. 374 x * (x \ y) != z * u | z \ y = u. [para(153(a,2),230(a,1))]. 375 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),262(a,1,2))]. 376 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),262(a,1,2))]. 377 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(27(a,2),262(a,1,2))]. 379 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(201(a,1),304(a,1,2))]. 380 x / y != x * z | L(z \ 1,z,x) = y. [para(356(a,1),44(a,1)),flip(a)]. 381 x / L(y,1 / y,x) = x * (1 / y). [para(76(a,1),356(a,1,2,1))]. 382 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(356(a,1),303(a,1,1)),flip(b)]. 383 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(357(a,1),18(a,2,2,2))]. 384 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(73(a,1),362(a,1,1,1))]. 385 x / (y * x) != z | R(1 / y,y,x) = z. [para(362(a,1),258(a,1,2))]. 386 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(9(a,1),86(a,2,1)),flip(a)]. 387 K(x \ 1,x) != y | (x \ 1) * x = y. [para(86(a,1),157(a,1))]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(108(a,2),86(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(236(a,2),87(a,1,1))]. 391 K(x,1 / x) != y | x * (1 / x) = y. [para(88(a,1),157(a,1))]. 392 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(115,a,18,a,b,156,a(flip))]. 393 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(115,a,18,a,b,155,a(flip))]. 394 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(115,a,109,a(flip),b,12,a)]. 395 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(116,a,195,a(flip),b,7,a)]. 396 ((1 / x) * x) * y != z * u | y / u = z. [para(196(a,1),43(a,1))]. 397 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),213(a,1,2,1))]. 398 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),213(a,1,2,1))]. 399 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(213(a,1),42(a,1))]. 400 T(x / y,z) * y = y * T(y \ x,z). [para(110(a,1),213(a,1,2,1)),flip(a)]. 401 T((x * y) / x,z) * x = x * T(y,z). [para(203(a,1),213(a,1,2,1)),flip(a)]. 402 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(109(a,1),213(a,1,2,1))]. 403 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(222(a,1),213(a,1,2,1)),flip(a)]. 404 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(244,a,223,a)]. 405 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(223(a,1),48(a,1))]. 406 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(223(a,1),257(a,1,1,2)),flip(b)]. 407 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(223(a,1),262(a,1,2))]. 408 T((x * y) / x,z) = (x * T(y,z)) / x. [hyper(244,a,243,a),flip(a)]. 409 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(243(a,1),48(a,2)),flip(b)]. 410 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(109(a,1),243(a,1,1))]. 413 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),18(a,2,2,2)),flip(a)]. 414 (x \ y) * x != y * z | K(x \ y,x) = z. [para(271(a,1),42(a,1))]. 415 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),301(a,1,2)),flip(b)]. 416 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(271(a,1),217(a,2))]. 417 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),301(a,1,2)),flip(b)]. 418 a(x,y,1) = 1. [hyper(302,a,80,a),flip(a)]. 421 L(1,x,y) = 1. [hyper(51,a,418,a)]. 422 a(x,y,K(z,z)) = 1. [para(159(a,2),418(a,1,3))]. 423 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(116,a,202,a(flip),b,92,a)]. 424 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(115,a,92,a,b,xx)]. 425 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(62,a,143,a(flip),b,92,a)]. 426 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(62,a,142,a(flip),b,92,a)]. 427 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(116,a,92,a(flip),b,108,a)]. 428 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(115,a,92,a(flip),b,108,a)]. 429 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(92(a,1),18(a,2,1)),flip(a)]. 430 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(92(a,1),18(a,2,2,2)),flip(a)]. 431 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(92(a,1),20(a,2,1,1)),flip(a)]. 432 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),92(a,1,2))]. 433 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),92(a,1,2))]. 434 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),92(a,1,2))]. 435 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(92(a,1),42(a,1)),flip(a)]. 436 (x * y) * L(z,y,x) != x * u | y * z = u. [para(92(a,2),42(a,1))]. 437 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(108(a,1),92(a,1,1))]. 438 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(92(a,1),85(a,1,1))]. 439 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(92(a,1),301(a,1,2)),flip(b)]. 440 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(236(a,2),92(a,1,1))]. 441 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(92(a,1),185(a,1))]. 442 L(x \ T(y * x,y),x,y) = y. [hyper(286,a,205,a(flip),b,94,a),flip(a)]. 443 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(286,a,156,a(flip),b,94,a),flip(a)]. 444 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(286,a,155,a(flip),b,94,a),flip(a)]. 445 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(286,a,147,a(flip),b,94,a),flip(a)]. 446 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(286,a,88,a(flip),b,94,a),flip(a)]. 447 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),94(a,2,1))]. 448 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),94(a,1,1)),flip(a)]. 449 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(108(a,1),94(a,2,1))]. 450 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(108(a,1),94(a,2,2))]. 451 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(238(a,2),94(a,2,2))]. 452 x / L(y \ z,y,x / z) = (x / z) * y. [para(94(a,2),291(a,1,2))]. 453 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(94(a,2),305(a,1))]. 454 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(92(a,1),94(a,2,1))]. 455 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(92(a,1),94(a,2,2))]. 456 L(x,y,z) != z | y \ T(z * y,z) = x. [para(442(a,1),49(a,1)),flip(a)]. 457 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(189,a,104,a),flip(a)]. 458 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(188,a,104,a),flip(a)]. 459 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(115,a,143,a(flip),b,104,a)]. 460 R(x / y,y,z) \ (x * z) = y * z. [hyper(115,a,142,a(flip),b,104,a)]. 461 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [hyper(115,a,10,a(flip),b,104,a)]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(62,a,202,a(flip),b,104,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(116,a,68,a(flip),b,104,a(flip))]. 465 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(115,a,104,a(flip),b,92,a)]. 466 (((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)]. 467 ((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)]. 468 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),104(a,1,1))]. 469 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(29(a,1),104(a,1,1))]. 470 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(31(a,1),104(a,1,1))]. 471 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(104(a,1),43(a,1))]. 472 R(x,y,z) * (y * z) != u * z | x * y = u. [para(104(a,2),43(a,1))]. 473 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(104(a,1),227(a,1,1)),flip(b)]. 474 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(104(a,2),227(a,1,1)),flip(b)]. 475 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),104(a,1,2))]. 476 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(104(a,2),217(a,2)),flip(a)]. 477 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))]. 478 R((x / y) / z,z,y) = x / (z * y). [hyper(286,a,146,a(flip),b,105,a),flip(a)]. 479 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),105(a,2,1))]. 480 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(10(a,1),105(a,2,2))]. 481 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),105(a,2,2))]. 483 R(x,y,z) != (u * z) / (y * z) | u / y = x. [para(105(a,1),50(a,1)),flip(a)]. 484 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(220(a,1),105(a,2,2))]. 485 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(197(a,2),105(a,1,1))]. 486 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(104(a,1),105(a,2,1))]. 487 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))]. 488 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(105(a,2),105(a,1,1))]. 489 x \ (x * y) != z * u | y / u = z. [para(12(a,1),125(a,1,2,2))]. 490 (x / y) * y != z * u | x / u = z. [para(12(a,1),128(a,1,1,1))]. 491 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(108(a,1),171(a,1,2,1))]. 492 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(85(a,1),171(a,1,2,1))]. 493 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(271(a,1),171(a,1,2,1))]. 494 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(92(a,1),171(a,1,2,1))]. 495 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),173(a,1,1,2))]. 496 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(85(a,1),173(a,1,1,2))]. 497 x / K(x \ 1,x) = R(x,x \ 1,x). [para(236(a,2),193(a,2,2)),flip(a)]. 498 K(x,1 / x) \ x = L(x,1 / x,x). [para(238(a,2),199(a,2,1)),flip(a)]. 499 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(62,a,202,a(flip),b,235,a),flip(a)]. 500 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(235(a,1),42(a,1))]. 501 x * K(x \ 1,x) = L(x,x \ 1,x). [para(236(a,2),235(a,1,2))]. 502 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(115,a,30,a,b,237,a)]. 503 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [hyper(62,a,202,a(flip),b,237,a),flip(a)]. 504 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(237(a,1),301(a,1,2)),flip(b)]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),25(a,2,1))]. 506 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(268(a,1),30(a,1,1)),flip(a)]. 507 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(76(a,1),268(a,1,1))]. 512 (x * (x \ y)) * z != u | y * z = u. [para(73(a,1),295(a,1,1,1))]. 513 x * y != z * u | z \ (x * y) = u. [para(11(a,1),297(a,1,1))]. 514 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(20(a,2),297(a,1,1))]. 515 1 * x != y * z | y \ x = z. [para(70(a,1),297(a,1,1))]. 518 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(149(a,1),297(a,1,1))]. 521 (x * (x \ 1)) * y != z * u | z \ y = u. [para(10(a,2),515(a,1,1))]. 525 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(152(a,1),298(a,1,2))]. 531 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(104(a,1),299(a,1,2))]. 532 x * (y * T(z,y)) != u | x * (z * y) = u. [para(22(a,2),300(a,1,2,2))]. 533 x * (y * z) != u | x * (z * T(y,z)) = u. [para(205(a,1),300(a,1,2,2))]. 534 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(235(a,1),300(a,1))]. 535 (x / (y \ x)) \ z != u | y \ z = u. [para(168(a,2),311(a,1,1))]. 536 L((x \ y) \ 1,x \ y,x) != z | y \ x = z. [para(195(a,2),311(a,1))]. 537 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(94(a,2),311(a,1))]. 539 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(354(a,1),163(a,1,2))]. 540 K((x \ y) \ 1,y \ x) = 1. [para(354(a,1),192(a,1,2))]. 541 K(((x * y) \ x) \ 1,y) = 1. [para(9(a,1),540(a,1,2))]. 542 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(358(a,1),25(a,2,1)),flip(a)]. 543 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(363(a,1),27(a,2,1)),flip(a)]. 544 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(363(a,2),105(a,1,1))]. 545 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),374(a,1,2))]. 546 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(152(a,1),374(a,1,2))]. 548 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(381(a,1),44(a,1)),flip(a)]. 549 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(384(a,1),47(a,1)),flip(a)]. 550 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(384(a,1),258(a,1,2))]. 551 x \ L(y,x \ 1,x) != (x \ 1) * z | y = z. [para(393(a,2),42(a,1))]. 552 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(393(a,1),232(a,1,2)),flip(b)]. 554 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(443(a,1),25(a,2,1))]. 555 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(443(a,1),29(a,1,1)),flip(a)]. 556 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(444(a,1),25(a,2,1))]. 557 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(444(a,1),29(a,1,1)),flip(a)]. 558 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(444(a,1),163(a,1,2))]. 559 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(116,a,31,a,b,457,a)]. 560 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(295,a,458,a),flip(a)]. 561 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(116,a,29,a(flip),b,458,a)]. 562 R(x / y,y,x \ z) \ z = y * (x \ z). [para(10(a,1),460(a,1,2))]. 563 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(460(a,1),258(a,1,2))]. 565 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(357(a,1),489(a,1,2))]. 566 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(104(a,1),489(a,1,2))]. 567 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),490(a,1,1))]. 568 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(149(a,1),490(a,1,1))]. 569 K(x,1 / x) * L(x,1 / x,x) = x. [hyper(131,a,498,a)]. 570 (x / (y \ x)) * z != u | y * z = u. [para(168(a,2),512(a,1,1))]. 571 ((x / y) \ x) * z != u | y * z = u. [para(177(a,2),512(a,1,1))]. 572 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(143(a,2),513(a,1))]. 574 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(560(a,1),27(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(560(a,1),31(a,1,1)),flip(a)]. 576 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(240(a,1),571(a,1,1,1))]. 577 ((x * y) \ x) * z != u | L(y \ 1,y,x) * z = u. [para(356(a,1),571(a,1,1,1))]. 578 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(62,a,92,a(flip),b,214,a)]. 579 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(115,a,214,a(flip),b,92,a(flip))]. 580 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(214(a,1),14(a,2,1,2)),flip(a)]. 581 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),214(a,1,2,1))]. 582 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),214(a,1,2,1))]. 583 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(110(a,1),214(a,1,2,1)),flip(a)]. 584 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(203(a,1),214(a,1,2,1)),flip(a)]. 587 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(286,a,104,a(flip),b,215,a),flip(a)]. 588 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(115,a,104,a(flip),b,215,a)]. 589 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),215(a,1,2,1))]. 591 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(110(a,1),215(a,1,2,1)),flip(a)]. 592 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(203(a,1),215(a,1,2,1)),flip(a)]. 593 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(109(a,1),215(a,1,2,1))]. 594 T(x / y,(z / y) \ z) = y \ x. [hyper(216,a,314,a,b,313,a)]. 595 L(T(x,y),y,x) = T(x,x * y). [hyper(216,a,202,a(flip),b,92,a),flip(a)]. 596 T(L(x,y,x),y) = T(x,x * y). [hyper(62,a,25,a(flip),b,595,a)]. 597 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(595(a,1),29(a,1,1)),flip(a)]. 598 x * T(y,y * x) = L(y,x,y) * x. [para(595(a,1),214(a,1,2))]. 599 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(595(a,2),215(a,1,2,1))]. 600 (x * T(y,y * x)) / x = L(y,x,y). [hyper(244,a,596,a)]. 601 T((x * y) / x,y * x) = L(y,x,y). [hyper(39,a,243,a,b,596,a)]. 602 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(596(a,1),25(a,1,1)),flip(a)]. 603 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(10(a,1),598(a,1,2,2)),flip(a)]. 604 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(108(a,1),598(a,1,2,2)),flip(a)]. 606 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(10(a,1),601(a,1,2))]. 607 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(601(a,1),23(a,1,1)),flip(a)]. 608 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(244,a,224,a)]. 610 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(244,a,225,a)]. 611 T(x / (y * x),y) = R(y \ 1,y,x). [para(197(a,1),225(a,1,1))]. 612 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(105(a,1),225(a,1,1))]. 614 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(478(a,1),225(a,1,1)),flip(a)]. 615 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(560(a,1),225(a,1,1)),flip(a)]. 616 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(611(a,1),108(a,1,2)),flip(a)]. 618 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(279(a,1),46(a,1))]. 619 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(115,a,281,a(flip),b,85,a)]. 621 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(513,a,282,a)]. 622 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(282(a,2),18(a,2,1)),flip(a)]. 623 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(282(a,2),307(a,1,1))]. 624 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(283(a,1),262(a,1,2))]. 626 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(12(a,1),382(a,1,1))]. 628 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(108(a,1),385(a,1,2))]. 629 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(238(a,2),385(a,1,2))]. 630 K(x \ (x * y),x) = K(y,x). [hyper(286,a,86,a(flip),b,386,a)]. 631 K(x \ (x * y),z) = K(y,z). [para(66(a,1),630(a,1,1)),flip(a)]. 632 K((x / y) \ x,z) = K(y,z). [para(178(a,2),630(a,1,1))]. 633 K(x \ T(y,y \ z),u) = K(x \ ((y \ z) \ z),u). [para(278(a,2),631(a,1,1,2)),flip(a)]. 634 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(394(a,1),535(a,1))]. 635 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(62,a,282,a(flip),b,401,a)]. 637 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(404(a,1),263(a,1,1)),flip(b)]. 638 T(x / y,y) != z | y \ x = z. [para(404(a,1),257(a,1)),flip(b)]. 640 T(x,x \ y) != z | (x \ y) \ y = z. [para(73(a,1),638(a,1,1))]. 641 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(174(a,1),638(a,1,1))]. 642 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(240(a,1),638(a,1,1))]. 643 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(27(a,2),640(a,1))]. 644 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(109(a,2),640(a,1,2))]. 645 T((x * y) / x,T(y,z)) = (x * y) / x. [para(164(a,1),408(a,2,1,2))]. 646 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(408(a,1),108(a,1,2))]. 647 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(110(a,1),408(a,2,1,2))]. 648 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(408(a,2),263(a,1,1)),flip(b)]. 649 T(x * y,(x \ 1) \ y) = x * y. [hyper(53,a,558,a)]. 651 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(116,a,143,a(flip),b,81,a)]. 652 x / a(y,y \ 1,x) = y * ((y \ 1) * x). [hyper(116,a,67,a(flip),b,81,a)]. 653 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),81(a,1,1,2))]. 654 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(68(a,1),81(a,1,1))]. 655 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(81(a,1),301(a,1,2)),flip(b)]. 656 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(104(a,1),81(a,1,1))]. 657 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(195(a,2),93(a,1,2,2,1))]. 658 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(95(a,1),157(a,1))]. 660 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(92(a,1),95(a,1,2,2)),flip(a)]. 662 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(10(a,1),101(a,2,2))]. 663 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(103(a,1),263(a,1,1)),flip(b)]. 664 ((x * (y \ z)) * T(y,y \ z)) / z = R(x,y \ z,(y \ z) \ z). [para(109(a,2),103(a,1,1,2))]. 665 R(x,y \ z,T(y,y \ z)) = ((x * (y \ z)) * ((y \ z) \ z)) / z. [para(109(a,2),103(a,2,3)),flip(a)]. 667 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(457(a,1),198(a,1,2))]. 668 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(286,a,25,a(flip),b,210,a),flip(a)]. 670 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(104(a,1),210(a,1,2))]. 671 (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(274(a,1),400(a,1,1,1)),flip(a)]. 672 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(62,a,215,a,b,323,a)]. 673 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(115,a,323,a(flip),b,215,a)]. 676 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(286,a,22,a,b,355,a),flip(a)]. 677 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [hyper(131,a,355,a)]. 678 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(359(a,2),92(a,1,2))]. 679 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(233,a,361,a),flip(a)]. 680 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(109(a,1),371(a,1,2))]. 681 (x / y) * T(y,z) != u * (x / y) | T(x / (x / y),z) = u. [para(222(a,1),371(a,1,2,1))]. 682 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),375(a,1,2,1))]. 683 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(108(a,2),415(a,1,2))]. 684 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(423(a,1),303(a,1,1)),flip(b)]. 685 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(62,a,214,a(flip),b,425,a),flip(a)]. 686 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(30(a,1),425(a,1,2))]. 687 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(425(a,1),42(a,1))]. 688 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(425(a,1),301(a,1,2)),flip(b)]. 689 L(x \ y,x,y / x) = T(y / x,y). [hyper(216,a,145,a(flip),b,426,a),flip(a)]. 690 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(62,a,214,a(flip),b,426,a),flip(a)]. 691 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(445(a,1),25(a,2,1))]. 692 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(445(a,1),29(a,1,1)),flip(a)]. 693 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(445(a,1),30(a,1,1)),flip(a)]. 694 K(x,y) = L(x \ T(x,y),x,y). [hyper(286,a,16,a,b,450,a)]. 695 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(450(a,1),25(a,2,1))]. 697 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(10(a,1),459(a,1,2))]. 698 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(12(a,1),459(a,1,2))]. 699 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(459(a,1),258(a,1,2))]. 700 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(481(a,1),27(a,2,1))]. 701 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(481(a,1),31(a,1,1)),flip(a)]. 702 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(197(a,2),481(a,1,1,2))]. 703 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(481(a,1),225(a,1,1)),flip(a)]. 706 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(9(a,1),612(a,2,1)),flip(a)]. 708 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(614(a,1),323(a,1,1)),flip(a)]. 709 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(12(a,1),616(a,1,1,2)),flip(a)]. 710 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(616(a,2),304(a,1,2))]. 711 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(616(a,1),307(a,1,1))]. 712 x / a(y,y \ 1,x) = L(x,y \ 1,y). [hyper(286,a,235,a(flip),b,652,a),flip(a)]. 713 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [hyper(175,a,712,a)]. 714 L(x,y \ 1,y) \ x != z | a(y,y \ 1,x) = z. [para(712(a,1),303(a,1,1)),flip(b)]. 715 a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). [para(444(a,1),713(a,1,1)),flip(a)]. 716 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(286,a,458,a(flip),b,654,a),flip(a)]. 717 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [hyper(115,a,458,a(flip),b,654,a)]. 718 (x * y) \ (x * R(y,z,z \ 1)) = L(a(y,z,z \ 1),y,x). [para(716(a,1),18(a,2,2,2)),flip(a)]. 720 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(716(a,1),301(a,1,2)),flip(b)]. 723 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(311,a,668,a),flip(a)]. 724 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(12(a,1),668(a,1,1)),flip(a)]. 725 L(x \ 1,x,y) * z != u | ((y * x) \ y) \ u = z. [para(677(a,1),42(a,1)),flip(a)]. 726 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(10(a,1),679(a,1,1,2))]. 727 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(706(a,2),48(a,1)),flip(a)]. 728 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(706(a,2),108(a,1,2)),flip(a)]. 729 T(R(x,y,x),y * x) = T(x,y). [para(706(a,2),243(a,1,1))]. 730 R(T(x,y * x),y,x) = T(x,y). [hyper(62,a,27,a,b,729,a)]. 731 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(729(a,1),214(a,1,2,1)),flip(a)]. 732 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(729(a,1),215(a,1,2,1)),flip(a)]. 733 R(x,y,z) != T(z,y) | T(z,y * z) = x. [para(729(a,1),141(a,1)),flip(a)]. 734 R(T(x,y),y / x,x) = T(x,y / x). [para(12(a,1),730(a,1,1,2))]. 735 R(x,y / z,z) != T(z,y / z) | T(z,y) = x. [para(734(a,1),50(a,1)),flip(a)]. 736 R(x,1 / x,x) = T(x,1 / x). [para(251(a,1),734(a,1,1))]. 737 T(x,1 / x) / x = x * (1 / x). [hyper(116,a,736,a(flip),b,457,a)]. 738 T(x,1 / x) / x = K(x,1 / x). [hyper(286,a,238,a,b,737,a),flip(a)]. 739 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(286,a,27,a,b,112,a)]. 740 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(25(a,1),261(a,1,2))]. 741 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),261(a,1,2))]. 742 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(236(a,2),261(a,1,1))]. 745 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(31(a,1),266(a,1,1))]. 746 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(108(a,1),266(a,1,2))]. 747 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(85(a,1),435(a,1,1)),flip(a)]. 748 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(10(a,1),439(a,1,2,2))]. 749 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(108(a,1),439(a,1,1))]. 750 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(69(a,1),439(a,1,2))]. 751 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(92(a,1),439(a,1,2,2))]. 752 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(282(a,1),439(a,1,2))]. 753 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(81(a,1),439(a,1,2,2))]. 754 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(108(a,1),441(a,1,2))]. 755 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(236(a,2),471(a,2,2))]. 756 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(271(a,1),471(a,2,2))]. 757 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(30(a,1),551(a,1,2))]. 758 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(12(a,1),563(a,1,1))]. 759 x \ L(L((x \ 1) \ y,z,u),x \ 1,x) = L(y / (x \ 1),z,u) * (x \ 1). [hyper(286,a,393,a,b,583,a)]. 760 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(354(a,1),583(a,2,2))]. 761 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(127,a,584,a),flip(a)]. 762 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(116,a,92,a(flip),b,584,a),flip(a)]. 763 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(105(a,2),591(a,1,1,1))]. 764 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(591(a,1),458(a,1,1))]. 765 (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(274(a,1),591(a,1,1,1)),flip(a)]. 766 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(266,a,592,a)]. 767 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(127,a,592,a),flip(a)]. 768 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(116,a,592,a(flip),b,104,a(flip))]. 769 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(76(a,1),608(a,1,1,2,1))]. 770 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(608(a,1),263(a,1,1)),flip(b)]. 771 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(195(a,1),608(a,1,1,2))]. 772 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(94(a,1),608(a,1,1,2))]. 773 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),608(a,1,1,2)),flip(a)]. 774 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(354(a,1),608(a,1,1,2))]. 775 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(443(a,1),608(a,1,1,2))]. 776 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(694(a,2),608(a,1,1,2)),flip(a)]. 777 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(18(a,2),610(a,1,1,2,1))]. 778 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(76(a,1),610(a,1,1,2,1))]. 779 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(610(a,1),263(a,1,1)),flip(b)]. 780 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(110(a,1),646(a,1,2,1,2)),flip(a)]. 781 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(109(a,1),646(a,1,2,1,2))]. 782 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(244,a,647,a)]. 783 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(647(a,1),205(a,1,2,2))]. 784 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(110(a,1),739(a,1,1,1)),flip(a)]. 785 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(761(a,1),92(a,1,2))]. 786 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(358(a,1),761(a,2,1,2))]. 787 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(443(a,1),761(a,2,1,2))]. 788 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(444(a,1),761(a,2,1,2))]. 789 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(445(a,1),761(a,2,1,2))]. 790 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(62,a,560,a(flip),b,767,a),flip(a)]. 791 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(767(a,2),263(a,1,1)),flip(b)]. 792 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(197(a,1),767(a,2,1,2))]. 793 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(767(a,1),104(a,1,1))]. 794 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(478(a,1),767(a,2,1,2))]. 796 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(560(a,1),767(a,2,1,2))]. 797 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(767(a,1),266(a,1,1))]. 798 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(286,a,94,a(flip),b,360,a),flip(a)]. 799 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(353(a,1),360(a,1,1)),flip(a)]. 800 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(360(a,1),92(a,1,2))]. 802 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(10(a,1),799(a,1,1,1))]. 804 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(94(a,1),432(a,1,2,1))]. 805 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),432(a,1,2,1))]. 806 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(595(a,1),432(a,1,2,1))]. 807 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(360(a,1),437(a,1,2))]. 808 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(449(a,1),25(a,2,1))]. 809 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(449(a,1),29(a,1,1)),flip(a)]. 810 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(34,a,401,a,b,462,a)]. 811 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(33,a,215,a,b,462,a(flip))]. 812 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(811(a,1),462(a,1,1)),flip(a)]. 813 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(105(a,1),468(a,1,1,1))]. 814 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(108(a,1),491(a,1,2))]. 815 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),261(a,1,2))]. 816 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(22(a,2),525(a,1,2,2))]. 817 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(542(a,2),426(a,1,2)),flip(a)]. 818 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(638,a,543,a),flip(a)]. 819 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(543(a,2),323(a,1,1))]. 820 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(658,a,554,a)]. 821 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(62,a,503,a(flip),b,554,a)]. 822 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(115,a,554,a(flip),b,237,a)]. 823 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(62,a,499,a(flip),b,556,a)]. 824 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(115,a,556,a(flip),b,235,a),flip(a)]. 825 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(115,a,556,a(flip),b,499,a(flip))]. 826 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(116,a,574,a(flip),b,458,a)]. 827 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(195(a,1),578(a,2,1)),flip(a)]. 828 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,81,a(flip),b,587,a),flip(a)]. 829 (x * y) * T(y,x) = (y * x) * y. [para(730(a,1),587(a,1,2))]. 830 (x * (y / x)) * x = y * T(x,y / x). [hyper(295,a,829,a),flip(a)]. 831 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(115,a,67,a(flip),b,829,a)]. 832 K(x \ 1,x) \ x = T(x,x \ 1). [para(236(a,2),831(a,1,1))]. 833 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,832,a),flip(a)]. 834 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(131,a,833,a)]. 835 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(830(a,1),83(a,1,2))]. 836 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(108(a,1),588(a,1,2,1)),flip(a)]. 837 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(286,a,25,a(flip),b,602,a),flip(a)]. 838 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(62,a,645,a(flip),b,606,a)]. 839 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(286,a,25,a,b,607,a),flip(a)]. 841 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(73(a,1),637(a,1,1,1))]. 842 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(12(a,1),648(a,1,1,1,1))]. 843 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(108(a,1),651(a,1,1))]. 844 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(116,a,653,a(flip),b,108,a)]. 845 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(25(a,2),672(a,1,2,1))]. 846 (x * y) \ ((x \ 1) \ y) != z | a(x,x \ 1,(x \ 1) \ y) = z. [para(444(a,1),714(a,1,1))]. 847 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(447(a,1),724(a,1,1)),flip(a)]. 848 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(12(a,1),773(a,2,1,2,1))]. 849 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(208(a,1),773(a,2,1,2))]. 850 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(30(a,1),837(a,1,1))]. 851 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(116,a,281,a(flip),b,403,a)]. 852 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(730(a,1),476(a,1,1))]. 853 ((x / y) * (y * z)) \ (x * z) != u | a(x / y,y,z) = u. [para(12(a,1),655(a,1,2,1))]. 854 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(108(a,1),655(a,1,1,2))]. 855 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(108(a,1),655(a,1,2,1))]. 856 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(236(a,2),655(a,1,1))]. 857 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(62,a,464,a,b,780,a)]. 858 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(105(a,2),780(a,1,1,1,2))]. 859 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),782(a,1,1,2,1,2))]. 860 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(782(a,1),263(a,1,1)),flip(b)]. 861 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(76(a,1),783(a,1,2,2,1,2))]. 862 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(105(a,1),784(a,1,1,1))]. 863 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(216,a,812,a,b,xx)]. 865 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(8(a,1),822(a,1,2,1))]. 866 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(10(a,1),822(a,1,2,1)),flip(a)]. 868 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(823(a,1),301(a,1,2)),flip(b)]. 869 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(682,a,824,a),flip(a)]. 870 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(121,a,824,a)]. 871 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),824(a,2,2,1))]. 872 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),824(a,2,2,1))]. 873 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(62,a,402,a(flip),b,871,a)]. 874 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(10(a,1),825(a,1,2,1)),flip(a)]. 875 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(286,a,400,a(flip),b,826,a),flip(a)]. 876 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(866(a,1),388(a,1,2))]. 877 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(870(a,1),232(a,1,2)),flip(b)]. 878 T((x \ y) / (x \ 1),z) = (x \ T(y,z)) / (x \ 1). [hyper(116,a,872,a(flip),b,400,a),flip(a)]. 879 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(286,a,824,a(flip),b,875,a),flip(a)]. 880 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(129,a,875,a)]. 881 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(7(a,1),875(a,1,1,1))]. 882 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(881(a,1),110(a,1,1))]. 883 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(9(a,1),880(a,1,1,2,1)),flip(a)]. 884 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(107(a,1),883(a,2,1,2))]. 885 K((x * y) * (x \ 1),y) = 1. [hyper(54,a,884,a)]. 886 K(((1 / x) * y) * x,y) = 1. [para(76(a,1),885(a,1,1,2))]. 887 K(x * y,(1 / y) \ x) = 1. [para(10(a,1),886(a,1,1,1))]. 888 T(x * y,(1 / y) \ x) = x * y. [hyper(55,a,887,a)]. 889 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(195(a,1),433(a,1,2,1))]. 890 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(94(a,1),433(a,1,2,1))]. 891 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),433(a,1,2,1))]. 892 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(94(a,1),434(a,1,2,1))]. 893 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),434(a,1,2,1))]. 894 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(595(a,1),434(a,1,2,1))]. 895 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(286,a,145,a(flip),b,440,a),flip(a)]. 896 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(469(a,1),43(a,1))]. 897 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(105(a,1),469(a,1,1,1))]. 898 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(873(a,1),492(a,1,1,1))]. 899 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(353(a,1),502(a,1,2,1))]. 901 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),440(a,1,2))]. 902 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(658,a,555,a)]. 903 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(115,a,557,a(flip),b,235,a),flip(a)]. 904 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(559(a,2),43(a,1))]. 905 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(364(a,1),559(a,1,1,1)),flip(a)]. 906 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(560(a,1),561(a,1,1,1))]. 907 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(691(a,1),425(a,1,2)),flip(a)]. 908 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(71(a,1),700(a,2,1))]. 909 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(700(a,1),332(a,1,1)),flip(a)]. 910 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(116,a,908,a(flip),b,457,a),flip(a)]. 912 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(637,a,910,a)]. 913 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(115,a,910,a(flip),b,400,a(flip))]. 914 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(7(a,1),910(a,2,1,1))]. 915 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(110(a,1),910(a,1,1)),flip(a)]. 916 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(637,a,914,a)]. 917 (1 / x) * T(x,y) = T(x,y) / x. [hyper(62,a,403,a(flip),b,914,a)]. 918 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(116,a,914,a(flip),b,403,a(flip))]. 920 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(216,a,917,a,b,10,a),flip(a)]. 921 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(62,a,281,a(flip),b,917,a),flip(a)]. 923 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(917(a,1),570(a,1))]. 924 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(917(a,1),601(a,1,2))]. 925 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(626,a,920,a)]. 926 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(109(a,1),921(a,1,1)),flip(a)]. 928 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [para(12(a,1),913(a,1,2,1,1)),flip(a)]. 929 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(928(a,2),232(a,1,2)),flip(b)]. 930 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,(x * y) \ 1). [para(715(a,2),874(a,1,1,2))]. 932 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(792(a,1),104(a,1,1))]. 933 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(792(a,1),323(a,1,1))]. 934 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(236(a,2),514(a,1,2))]. 935 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(597(a,1),582(a,1,2))]. 936 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(33,a,215,a,b,593,a)]. 937 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(115,a,936,a(flip),b,326,a),flip(a)]. 939 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(94(a,1),740(a,1,2,1))]. 941 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(375,a,806,a),flip(a)]. 942 T(x,y) * (x * z) = x * (T(x,y) * z). [para(213(a,1),941(a,1,2)),flip(a)]. 943 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(546,a,942,a)]. 944 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(545,a,942,a),flip(a)]. 945 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(532,a,942,a),flip(a)]. 946 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(300,a,942,a),flip(a)]. 947 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(286,a,145,a(flip),b,942,a),flip(a)]. 949 (x * y) / (x * (T(x,z) \ y)) = T(x,z). [hyper(116,a,145,a(flip),b,942,a)]. 950 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(115,a,145,a(flip),b,942,a)]. 951 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(115,a,69,a(flip),b,942,a),flip(a)]. 952 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,68,a(flip),b,942,a),flip(a)]. 953 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),942(a,1,2)),flip(a)]. 955 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(110(a,1),942(a,1,1)),flip(a)]. 957 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(127,a,952,a)]. 958 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(121,a,952,a)]. 959 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(116,a,952,a(flip),b,108,a)]. 960 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(110(a,1),952(a,1,2,1)),flip(a)]. 961 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(952(a,1),301(a,1,2)),flip(b)]. 962 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(952(a,1),237(a,1,2)),flip(a)]. 964 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(957(a,1),878(a,1,1)),flip(a)]. 965 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(958(a,1),821(a,1,2,1)),flip(a)]. 966 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(943(a,1),305(a,1))]. 967 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(121,a,944,a)]. 968 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(946(a,1),42(a,1))]. 969 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(368,a,947,a),flip(a)]. 970 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(33,a,425,a,b,947,a),flip(a)]. 971 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(33,a,272,a,b,947,a),flip(a)]. 973 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(947(a,1),301(a,1,2)),flip(b)]. 974 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(110(a,1),969(a,1,2,1))]. 975 T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. [para(949(a,1),638(a,1,1))]. 978 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(967(a,2),232(a,1,2)),flip(b)]. 979 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(967(a,1),298(a,1,2))]. 980 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(402(a,2),966(a,1))]. 981 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(33,a,425,a,b,945,a),flip(a)]. 983 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(129,a,964,a)]. 984 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(110(a,1),974(a,2,2))]. 985 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),984(a,1,2,1))]. 986 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(110(a,1),983(a,1,1)),flip(a)]. 987 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),985(a,2,2)),flip(a)]. 988 T(x,y) / (y \ x) = (x * y) / x. [hyper(116,a,987,a,b,xx)]. 989 ((x * y) / x) \ T(x,y) = y \ x. [hyper(115,a,987,a,b,xx)]. 990 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(12(a,1),987(a,2,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(76(a,1),987(a,2,2)),flip(a)]. 994 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(362(a,1),987(a,2,2)),flip(a)]. 995 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(384(a,1),987(a,2,2)),flip(a)]. 996 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(9(a,1),988(a,1,2)),flip(a)]. 997 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(62,a,780,a(flip),b,991,a)]. 998 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(115,a,991,a(flip),b,780,a(flip))]. 999 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(76(a,1),997(a,1,2,1,2))]. 1000 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(773(a,2),997(a,1,2))]. 1001 T(x \ T(y,y / x),y) = x \ y. [para(998(a,2),203(a,1,1))]. 1002 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(998(a,1),232(a,1,2)),flip(b)]. 1003 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(998(a,1),374(a,1,2))]. 1004 T(x \ T(y,y / x),y) = T(y / x,x). [hyper(286,a,110,a,b,1001,a),flip(a)]. 1005 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(73(a,1),1001(a,1,1,2,2))]. 1006 T(T(x,x / y) / y,x) = x / y. [hyper(405,a,1004,a)]. 1007 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(116,a,203,a(flip),b,990,a),flip(a)]. 1008 T(T(x * y,x) / y,x * y) = x. [para(996(a,1),203(a,1,1))]. 1009 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(996(a,1),810(a,1,1))]. 1010 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(458(a,1),1008(a,1,1,1,1))]. 1011 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(638,a,1009,a)]. 1012 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(204(a,1),999(a,1,2)),flip(a)]. 1014 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(212(a,1),973(a,1))]. 1016 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(9(a,1),978(a,1,2,2))]. 1017 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(400(a,1),953(a,1,2))]. 1018 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(110(a,1),960(a,1,1)),flip(a)]. 1019 (x \ 1) \ (1 / x) = ((x \ 1) \ 1) / x. [hyper(62,a,926,a(flip),b,1018,a),flip(a)]. 1020 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(9(a,1),1018(a,1,2,1)),flip(a)]. 1021 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(76(a,1),1018(a,1,2,1)),flip(a)]. 1022 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(920(a,1),971(a,1,2))]. 1024 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1017(a,2),42(a,2))]. 1025 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(261,a,1000,a)]. 1026 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(121,a,817,a)]. 1027 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(317(a,1),817(a,1,2))]. 1028 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(637,a,819,a),flip(a)]. 1029 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(414,a,827,a)]. 1030 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(116,a,1029,a,b,400,a)]. 1031 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(115,a,882,a(flip),b,820,a)]. 1032 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(8(a,1),902(a,2,1))]. 1033 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(121,a,1032,a)]. 1034 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(115,a,364,a(flip),b,1032,a),flip(a)]. 1035 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(33,a,716,a,b,1032,a),flip(a)]. 1037 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(616(a,2),1032(a,1,2))]. 1038 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(286,a,197,a(flip),b,1037,a),flip(a)]. 1039 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(216,a,1038,a,b,10,a),flip(a)]. 1041 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1033(a,1),720(a,1))]. 1042 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(8(a,1),903(a,2,2,1))]. 1043 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(22(a,2),903(a,1,2,1)),flip(a)]. 1045 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(62,a,593,a(flip),b,1042,a)]. 1046 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(115,a,1042,a(flip),b,593,a(flip))]. 1047 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(115,a,717,a(flip),b,1045,a)]. 1048 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(116,a,1045,a(flip),b,215,a)]. 1049 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1045(a,1),85(a,1,1))]. 1050 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(1045(a,1),616(a,1,1,2)),flip(a)]. 1051 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1045(a,1),647(a,2,1))]. 1053 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(71(a,1),905(a,2,1,1))]. 1054 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(779,a,1053,a)]. 1055 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(76(a,1),1054(a,1,2,1))]. 1056 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(570,a,1055,a),flip(a)]. 1057 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(216,a,1055,a,b,10,a),flip(a)]. 1058 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(129,a,1055,a(flip))]. 1059 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1055(a,1),217(a,2)),flip(a)]. 1060 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1055(a,1),94(a,2,1))]. 1061 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(1057(a,1),698(a,1,1,2))]. 1062 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(286,a,583,a(flip),b,906,a),flip(a)]. 1063 (x \ y) * ((y / x) * z) = (y / x) * ((x \ y) * z). [para(110(a,1),955(a,1,2,1)),flip(a)]. 1064 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(203(a,1),955(a,1,2,1)),flip(a)]. 1065 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(373,a,1063,a)]. 1066 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(372,a,1063,a),flip(a)]. 1067 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(189,a,1063,a),flip(a)]. 1068 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(286,a,236,a,b,1065,a),flip(a)]. 1069 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(754,a,1067,a)]. 1070 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(76(a,1),1067(a,1,2,1))]. 1071 (1 / x) * K(x \ 1,x) = x \ 1. [para(236(a,2),1067(a,1,2))]. 1072 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(535,a,1068,a),flip(a)]. 1074 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1068(a,1),452(a,1,2,1))]. 1075 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1071(a,1),471(a,2,2))]. 1076 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1069(a,1),502(a,1,2,1))]. 1077 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1066(a,1),42(a,1))]. 1078 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(286,a,76,a(flip),b,1070,a),flip(a)]. 1080 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(9(a,1),1020(a,1,1)),flip(a)]. 1081 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(76(a,1),1021(a,1,1)),flip(a)]. 1082 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(683,a,1026,a)]. 1083 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(115,a,388,a(flip),b,1026,a(flip))]. 1084 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1026(a,1),683(a,1))]. 1085 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(286,a,916,a(flip),b,1082,a),flip(a)]. 1086 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(286,a,871,a(flip),b,1082,a),flip(a)]. 1087 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(116,a,1082,a,b,400,a)]. 1088 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(920(a,1),1082(a,1,1))]. 1089 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1082(a,2),945(a,1,2)),flip(a)]. 1091 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(988(a,1),1083(a,1,2,1,2))]. 1092 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(129,a,1085,a(flip)),flip(a)]. 1093 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(611(a,1),1085(a,2,1))]. 1094 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(110(a,1),1086(a,2,2))]. 1095 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(203(a,1),1086(a,2,2))]. 1096 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(1056(a,1),1086(a,1,1,2))]. 1098 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(1046(a,1),1094(a,2,2))]. 1099 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(400(a,1),1028(a,1,1))]. 1100 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(7(a,1),1062(a,1,1,1))]. 1101 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(76(a,1),1062(a,1,1,1,2))]. 1102 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(195(a,1),1100(a,2,2))]. 1103 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(175,a,1102,a)]. 1104 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(129,a,1102,a)]. 1105 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(195(a,1),1102(a,1,1))]. 1106 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(129,a,1105,a)]. 1107 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1106(a,1),275(a,1,1))]. 1108 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(10(a,1),1103(a,1,1,2,1))]. 1109 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1104(a,1),16(a,2,1)),flip(a)]. 1110 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(286,a,214,a(flip),b,1076,a),flip(a)]. 1111 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(354(a,1),1110(a,1,2)),flip(a)]. 1112 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1095(a,2),640(a,1,2))]. 1113 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1099(a,1),227(a,1,1)),flip(b)]. 1114 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(317(a,1),1099(a,1,1))]. 1115 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(871(a,1),1099(a,1,1))]. 1116 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(62,a,433,a(flip),b,599,a)]. 1117 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(215(a,1),1116(a,1,2)),flip(a)]. 1118 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(546,a,1117,a)]. 1119 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [hyper(532,a,1117,a),flip(a)]. 1120 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(525,a,1117,a)]. 1121 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(300,a,1117,a),flip(a)]. 1122 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(121,a,1117,a)]. 1123 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(115,a,68,a(flip),b,1117,a),flip(a)]. 1124 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(216,a,1117,a(flip),b,289,a),flip(a)]. 1128 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1123(a,1),237(a,1,2)),flip(a)]. 1129 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(104(a,1),1118(a,1,2)),flip(a)]. 1130 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(323(a,1),1118(a,1,2)),flip(a)]. 1132 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1120(a,1),303(a,1,1)),flip(b)]. 1133 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(127,a,1129,a),flip(a)]. 1134 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(216,a,104,a(flip),b,1119,a),flip(a)]. 1135 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(121,a,1134,a)]. 1136 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(662(a,1),1130(a,1,1)),flip(a)]. 1138 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(445(a,1),686(a,1,2,1)),flip(a)]. 1139 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(692(a,1),425(a,1,2)),flip(a)]. 1140 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(701(a,1),332(a,1,1)),flip(a)]. 1141 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(62,a,469,a(flip),b,731,a),flip(a)]. 1142 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(396,a,1141,a)]. 1143 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(62,a,470,a(flip),b,732,a),flip(a)]. 1145 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(762(a,2),45(a,1))]. 1146 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(195(a,1),785(a,1,2,1,2))]. 1147 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(94(a,1),785(a,1,2,1,2))]. 1148 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),785(a,1,2,1,2))]. 1149 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(786(a,1),426(a,1,2)),flip(a)]. 1150 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(115,a,787,a(flip),b,237,a)]. 1151 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(115,a,788,a(flip),b,235,a),flip(a)]. 1152 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(808(a,1),437(a,1,2))]. 1153 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(914(a,1),842(a,1))]. 1154 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(286,a,685,a(flip),b,843,a),flip(a)]. 1155 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [hyper(175,a,1154,a)]. 1157 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(943(a,1),849(a,1,1,1))]. 1158 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(852,a,945,a(flip))]. 1159 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(12(a,1),868(a,1,2,1))]. 1161 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(92(a,1),466(a,1,1))]. 1162 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(635(a,2),42(a,1))]. 1163 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(94(a,1),741(a,1,2,1))]. 1165 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(286,a,1080,a(flip),b,781,a),flip(a)]. 1167 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(648,a,813,a),flip(a)]. 1168 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(637,a,813,a)]. 1169 (x * T(y,z)) * y = (x * y) * T(y,z). [para(401(a,1),1167(a,1,1))]. 1170 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(568,a,1169,a)]. 1171 (1 / T(x,y)) * x = x / T(x,y). [hyper(396,a,1169,a),flip(a)]. 1172 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(295,a,1169,a),flip(a)]. 1173 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(286,a,142,a(flip),b,1169,a),flip(a)]. 1174 (x * T(y,x * y)) * y = y * (x * y). [hyper(286,a,108,a(flip),b,1169,a),flip(a)]. 1175 T(x * T(y,x * y),y) = x * y. [hyper(216,a,1169,a,b,108,a(flip))]. 1176 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(121,a,1169,a)]. 1177 (x * (y * x)) / x = y * T(x,y * x). [hyper(116,a,108,a(flip),b,1169,a)]. 1178 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(115,a,142,a(flip),b,1169,a)]. 1179 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(567,a,1169,a(flip)),flip(a)]. 1182 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(110(a,1),1169(a,1,1,2)),flip(a)]. 1184 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(121,a,1171,a)]. 1185 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1184(a,1),232(a,1,2)),flip(b)]. 1186 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1184(a,1),928(a,1,1)),flip(a)]. 1187 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1170(a,2),217(a,2)),flip(a)]. 1188 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1172(a,1),43(a,1)),flip(a)]. 1189 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1172(a,1),227(a,1,1)),flip(b)]. 1190 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1012(a,2),1172(a,1,1))]. 1191 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(216,a,1173,a,b,10,a)]. 1192 (x / y) * T(y,x) = (y * x) / y. [hyper(116,a,108,a(flip),b,1173,a),flip(a)]. 1195 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(570,a,1192,a),flip(a)]. 1196 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(216,a,1192,a,b,10,a),flip(a)]. 1198 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1192(a,1),304(a,1,2))]. 1199 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(356(a,1),1192(a,1,1)),flip(a)]. 1200 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(381(a,1),1192(a,1,1)),flip(a)]. 1201 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(115,a,1177,a,b,xx)]. 1202 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(1177(a,2),301(a,1,2)),flip(b)]. 1204 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1201(a,1),232(a,1,2)),flip(b)]. 1205 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1201(a,1),374(a,1,2))]. 1206 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(182,a,1186,a)]. 1207 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(37,a,22,a(flip),b,1186,a),flip(a)]. 1208 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1186(a,1),912(a,1,2,1)),flip(a)]. 1209 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1190(a,1),945(a,1,2)),flip(a)]. 1211 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(127,a,1209,a),flip(a)]. 1212 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(62,a,1012,a(flip),b,1211,a),flip(a)]. 1213 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(758,a,1212,a)]. 1214 (x * (y \ z)) * (z / y) = (x * (z / y)) * (y \ z). [para(110(a,1),1182(a,1,2)),flip(a)]. 1215 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(203(a,1),1182(a,1,2)),flip(a)]. 1216 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(568,a,1214,a)]. 1217 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(116,a,142,a(flip),b,1214,a)]. 1218 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(116,a,74,a(flip),b,1214,a),flip(a)]. 1219 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(567,a,1214,a(flip)),flip(a)]. 1220 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(216,a,1218,a,b,10,a),flip(a)]. 1221 x \ (1 / (1 / x)) = (x \ 1) / (1 / x). [hyper(62,a,1081,a(flip),b,1218,a)]. 1222 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(76(a,1),1218(a,1,2)),flip(a)]. 1224 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1220(a,1),1085(a,1,1))]. 1225 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(76(a,1),1222(a,1,1)),flip(a)]. 1226 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(204(a,1),861(a,1,2,2))]. 1228 (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(92(a,1),889(a,1,1))]. 1229 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(376,a,894,a),flip(a)]. 1230 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(214(a,1),1229(a,1,2)),flip(a)]. 1231 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(546,a,1230,a)]. 1232 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(545,a,1230,a),flip(a)]. 1233 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(372,a,1230,a),flip(a)]. 1234 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(300,a,1230,a),flip(a)]. 1235 (x * (L(x,y,z) * u)) / (x * u) = L(x,y,z). [hyper(127,a,1230,a)]. 1236 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(115,a,145,a(flip),b,1230,a)]. 1237 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(115,a,68,a(flip),b,1230,a),flip(a)]. 1238 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(216,a,1230,a(flip),b,289,a),flip(a)]. 1239 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(115,a,1230,a(flip),b,85,a)]. 1243 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1230(a,1),210(a,1,2))]. 1244 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(121,a,1233,a)]. 1245 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(1233(a,1),616(a,1,1,2)),flip(a)]. 1246 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1233(a,1),869(a,1,2,1,2))]. 1247 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(802(a,1),1233(a,1,1)),flip(a)]. 1248 x * (L(x,y \ 1,y) \ 1) = a(y,y \ 1,x). [hyper(286,a,713,a(flip),b,1237,a),flip(a)]. 1249 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(121,a,1237,a)]. 1250 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1237(a,1),16(a,2,1)),flip(a)]. 1251 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) != u | K(L(x,y,z) \ 1,x) = u. [para(1237(a,1),307(a,1,1))]. 1252 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(354(a,1),1244(a,1,1))]. 1253 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(121,a,1232,a)]. 1254 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(115,a,22,a,b,1232,a),flip(a)]. 1255 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(121,a,907,a)]. 1256 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(115,a,108,a(flip),b,907,a),flip(a)]. 1257 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),907(a,2,2,1,2))]. 1258 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(8(a,1),1256(a,2,2,1,2))]. 1259 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(286,a,386,a,b,1258,a)]. 1260 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(115,a,386,a,b,1258,a),flip(a)]. 1261 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1260(a,2),232(a,1,2)),flip(b)]. 1262 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(195(a,2),1260(a,1,1,1))]. 1263 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1260(a,1),881(a,1,1))]. 1264 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1262(a,2),677(a,1,2)),flip(a)]. 1265 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(121,a,1257,a),flip(a)]. 1266 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(317(a,1),1257(a,1,2)),flip(a)]. 1267 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1082(a,2),1257(a,1,2)),flip(a)]. 1268 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(929,a,1267,a),flip(a)]. 1269 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(513,a,1267,a),flip(a)]. 1270 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(62,a,872,a(flip),b,1267,a),flip(a)]. 1271 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1267(a,1,2,1)),flip(a)]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1267(a,2,2,1,2,2))]. 1274 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(11(a,1),1269(a,1,1,2))]. 1275 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(76(a,1),1269(a,2,2,2,1))]. 1276 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(9(a,1),1266(a,1,2,1)),flip(a)]. 1277 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1192(a,1),1275(a,2,2))]. 1278 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),909(a,2,1,1,1))]. 1279 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(400(a,1),909(a,1,1))]. 1280 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(286,a,400,a(flip),b,1278,a),flip(a)]. 1281 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(400(a,1),1280(a,1,1))]. 1282 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(317(a,1),1281(a,1,1))]. 1283 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1082(a,2),1281(a,1,1))]. 1284 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(127,a,1283,a),flip(a)]. 1285 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(11(a,1),1284(a,1,1,2))]. 1286 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1284(a,1,1,2,2))]. 1287 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(286,a,397,a(flip),b,1282,a),flip(a)]. 1288 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(110(a,1),986(a,1,2)),flip(a)]. 1289 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(73(a,1),1288(a,1,2,1,1)),flip(a)]. 1290 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(62,a,793,a(flip),b,994,a)]. 1291 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(780(a,1),1290(a,1,1))]. 1292 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(952(a,1),1291(a,1,1,2,1))]. 1293 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1064(a,1,1)),flip(a)]. 1294 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(546,a,1293,a)]. 1295 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(300,a,1293,a),flip(a)]. 1296 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(115,a,145,a(flip),b,1293,a)]. 1297 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(115,a,68,a(flip),b,1293,a),flip(a)]. 1298 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(121,a,1297,a)]. 1299 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(688,a,1294,a),flip(a)]. 1301 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1295(a,1),301(a,1,2)),flip(b)]. 1302 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1002,a,1151,a),flip(a)]. 1303 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1302(a,1),1202(a,1))]. 1304 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(33,a,587,a,b,1168,a)]. 1306 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(400(a,1),1168(a,2,1))]. 1307 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(203(a,1),1304(a,1,1,1)),flip(a)]. 1308 T(x \ (((x / y) * z) * y),x / y) = R(T(z,(x / y) * y),x / y,y). [para(12(a,1),1307(a,1,1,1))]. 1309 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1176(a,1),1307(a,1,1)),flip(a)]. 1310 R(x,y,T(z,u)) != T(z,y) | T(z,y * T(z,u)) = x. [para(1309(a,1),50(a,1)),flip(a)]. 1311 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(598(a,1),1309(a,1,1,2))]. 1312 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1215(a,1,1,2)),flip(a)]. 1313 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(568,a,1312,a)]. 1314 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(396,a,1312,a),flip(a)]. 1315 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(116,a,74,a(flip),b,1312,a),flip(a)]. 1316 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(116,a,67,a(flip),b,1312,a)]. 1317 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(999(a,1),1312(a,1,1)),flip(a)]. 1318 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(127,a,1314,a)]. 1319 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(295,a,1317,a),flip(a)]. 1320 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(968,a,1319,a)]. 1322 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(127,a,1320,a)]. 1325 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(10(a,1),1246(a,1,2,1)),flip(a)]. 1327 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(25(a,2),1325(a,2,2))]. 1328 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(25(a,2),1327(a,1,1))]. 1329 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1255(a,1,2,2,1,2)),flip(a)]. 1330 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(116,a,400,a(flip),b,1279,a)]. 1331 (x * y) \ ((x * T(x \ z,u)) * y) = T((x * y) \ (z * y),u). [hyper(121,a,1306,a)]. 1332 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(62,a,805,a(flip),b,1306,a)]. 1333 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(216,a,1306,a(flip),b,805,a(flip)),flip(a)]. 1334 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1306(a,1,2,1,2))]. 1336 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(22(a,2),1333(a,1,2,1,2)),flip(a)]. 1337 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(115,a,1336,a,b,xx)]. 1338 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(9(a,1),1337(a,1,2,1,2,1)),flip(a)]. 1339 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(62,a,805,a(flip),b,1334,a)]. 1340 T(x,x * T(x \ 1,y)) = x. [hyper(216,a,678,a(flip),b,1334,a(flip))]. 1341 T(x,(x \ 1) * x) = x. [para(108(a,1),1340(a,1,2))]. 1342 T(x,K(x \ 1,x)) = x. [para(317(a,1),1340(a,1,2))]. 1343 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1340(a,1),734(a,1,1))]. 1344 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(402(a,1),1340(a,1,2))]. 1345 T(x \ 1,x \ T(x,y)) = x \ 1. [para(871(a,1),1340(a,1,2))]. 1346 T(1 / x,T(x,y) / x) = 1 / x. [para(916(a,1),1340(a,1,2))]. 1347 R(x,x \ 1,x) = T(x,x \ 1). [para(1341(a,1),730(a,1,1))]. 1348 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,1347,a),flip(a)]. 1349 T(x,x \ 1) \ x = (x \ 1) * x. [para(1347(a,1),384(a,1,1))]. 1350 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(62,a,497,a,b,1348,a)]. 1351 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(53,a,1345,a)]. 1352 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1345(a,1),108(a,1,2))]. 1353 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1346(a,1),408(a,2,1,2))]. 1354 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(216,a,1349,a(flip),b,952,a),flip(a)]. 1356 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(129,a,1350,a)]. 1357 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(379,a,1354,a)]. 1358 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(594(a,1),1354(a,1,1)),flip(a)]. 1359 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1344(a,1),730(a,1,1))]. 1360 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1351(a,1),695(a,1,1)),flip(a)]. 1361 T(x,1 / x) = (x \ 1) \ 1. [para(76(a,1),1358(a,1,1))]. 1362 T(x,x \ 1) = T(x,1 / x). [hyper(286,a,109,a,b,1361,a)]. 1364 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(1361(a,1),257(a,1,1,2))]. 1365 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1361(a,1),738(a,1,1))]. 1366 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1361(a,1),1142(a,1,1,1))]. 1367 R(x,1 / x,x) = T(x,x \ 1). [hyper(286,a,736,a,b,1362,a)]. 1369 T((x * y) / x,1 / y) = (x * T(y,y \ 1)) / x. [para(1362(a,2),408(a,2,1,2))]. 1370 T(x,x \ 1) / x = K(x,1 / x). [para(1362(a,2),738(a,1,1))]. 1371 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1367(a,1),31(a,1,1)),flip(a)]. 1372 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(62,a,1019,a,b,1365,a)]. 1373 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(76(a,1),1365(a,1,1,1)),flip(a)]. 1374 (1 / x) / K(x,1 / x) = x \ 1. [hyper(182,a,1372,a)]. 1375 R(1 / x,x,1 / x) = x \ 1. [hyper(629,a,1374,a)]. 1376 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1375(a,1),366(a,1,1)),flip(a)]. 1377 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1376(a,1),171(a,1,1))]. 1378 T(1 / (1 / x),x \ 1) = x. [hyper(1364,a,851,a)]. 1379 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1378(a,1),23(a,1,1)),flip(a)]. 1380 T(1 / (1 / (1 / x)),x) = 1 / x. [para(76(a,1),1378(a,1,2))]. 1381 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1378(a,1),108(a,1,2)),flip(a)]. 1382 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1378(a,1),136(a,1,1)),flip(a)]. 1383 T(x,x \ 1) / x = K(x,x \ 1). [para(1378(a,1),1224(a,1,1)),flip(a)]. 1384 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1380(a,1),108(a,1,2)),flip(a)]. 1385 K(x,x \ 1) * x = T(x,x \ 1). [hyper(129,a,1383,a)]. 1386 K(x,x \ 1) = K(x,1 / x). [hyper(62,a,1370,a(flip),b,1383,a),flip(a)]. 1387 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(109(a,1),1383(a,1,1))]. 1388 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(286,a,632,a,b,1386,a)]. 1389 K(x,x \ 1) = x * (1 / x). [hyper(286,a,238,a(flip),b,1386,a),flip(a)]. 1390 x \ K(x,x \ 1) = 1 / x. [hyper(115,a,1386,a,b,238,a(flip))]. 1391 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(73(a,1),1386(a,2,2))]. 1392 K(x,x \ 1) != y | x * (1 / x) = y. [para(1386(a,2),391(a,1))]. 1394 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1389(a,2),89(a,1,1))]. 1395 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1389(a,2),331(a,1))]. 1396 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1389(a,2),973(a,1,2))]. 1397 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1389(a,2),1078(a,1,2))]. 1398 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1389(a,2),805(a,1,1))]. 1399 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1389(a,2),1230(a,1,2))]. 1400 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1389(a,2),1236(a,1,2))]. 1401 x * (1 / x) != y | K(x,x \ 1) = y. [para(1390(a,1),232(a,1,2)),flip(b)]. 1402 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,1385,a),flip(a)]. 1403 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1385(a,1),439(a,1,2,2))]. 1404 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1397(a,1),104(a,1,2))]. 1405 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1397(a,1),105(a,2,2))]. 1409 K(x,1 / x) != y | K(x,x \ 1) = y. [para(238(a,2),1401(a,1))]. 1410 K((x / y) \ x,1 / y) != z | K(y,y \ 1) = z. [para(632(a,2),1409(a,1))]. 1411 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(62,a,1218,a(flip),b,1381,a)]. 1412 L(x \ 1,x,x \ 1) = 1 / x. [hyper(380,a,1411,a)]. 1413 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(286,a,236,a,b,1411,a),flip(a)]. 1414 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1412(a,1),25(a,2,1))]. 1415 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1412(a,1),30(a,1,1)),flip(a)]. 1416 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(129,a,1413,a)]. 1417 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1373,a,b,1413,a)]. 1418 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(62,a,1221,a,b,1413,a)]. 1419 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1416(a,1),436(a,1,1)),flip(a)]. 1420 x * K(x \ 1,x) = 1 / (1 / x). [hyper(131,a,1418,a)]. 1422 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1418(a,1),951(a,1,2,2))]. 1424 L(x,x \ 1,x) = 1 / (1 / x). [hyper(62,a,501,a(flip),b,1420,a)]. 1427 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1424(a,1),29(a,1,1)),flip(a)]. 1428 x / (1 / (1 / x)) = x * (1 / x). [hyper(62,a,1225,a(flip),b,1384,a)]. 1429 L(x,1 / x,x) = 1 / (1 / x). [hyper(548,a,1428,a)]. 1430 K(x,1 / x) * (1 / (1 / x)) = x. [para(1429(a,1),569(a,1,2))]. 1433 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1386(a,2),1430(a,1,1))]. 1434 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1433(a,1),92(a,1,1))]. 1435 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1409,a,1417,a)]. 1436 K(x \ 1,x) = K(1 / x,x). [para(76(a,1),1435(a,1,2)),flip(a)]. 1437 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(286,a,1394,a,b,1436,a)]. 1439 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(73(a,1),1436(a,2,1))]. 1441 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(62,a,1072,a(flip),b,1439,a)]. 1442 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(131,a,1441,a)]. 1443 x * K(x,x \ 1) = T(x,x \ 1). [hyper(286,a,109,a,b,1442,a),flip(a)]. 1444 T(x,K(x,x \ 1)) = x. [hyper(216,a,1442,a,b,1402,a)]. 1445 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1444(a,1),214(a,1,2,1)),flip(a)]. 1448 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1443(a,1),473(a,1,1,1))]. 1451 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1414(a,1),440(a,1,2))]. 1453 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1371(a,1),667(a,1,2))]. 1454 K(1 / (1 / x),1 / x) != y | K(x,x \ 1) = y. [para(1436(a,1),1410(a,1))]. 1455 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(76(a,1),1366(a,1,1,1,1)),flip(a)]. 1456 T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). [hyper(286,a,408,a,b,1369,a)]. 1457 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(204(a,1),1456(a,2,1))]. 1458 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(286,a,694,a,b,1360,a)]. 1459 T(K(x,y),x \ 1) = K(x,y). [para(16(a,2),1458(a,2,1)),flip(a)]. 1460 T(x \ 1,K(x,y)) = x \ 1. [hyper(53,a,1459,a)]. 1461 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1459(a,1),262(a,1,2))]. 1462 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1460(a,1),402(a,1,2)),flip(a)]. 1463 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(816,a,1339,a)]. 1464 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(246,a,1463,a)]. 1465 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1046(a,1),1463(a,1,1,2,1))]. 1466 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(62,a,1399,a(flip),b,1445,a),flip(a)]. 1467 T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). [para(204(a,1),1457(a,1,1))]. 1468 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1467(a,2),1207(a,1,1))]. 1469 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1468(a,1),1179(a,1,1,1))]. 1470 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(286,a,10,a(flip),b,1462,a),flip(a)]. 1472 T(x,K(x \ 1,y)) = x. [hyper(126,a,1470,a)]. 1473 T(1 / x,K(x,y)) = 1 / x. [para(76(a,1),1472(a,1,2,1))]. 1474 T(K(x,y),1 / x) = K(x,y). [hyper(53,a,1473,a)]. 1475 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1473(a,1),700(a,1,1)),flip(a)]. 1476 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(286,a,364,a(flip),b,1475,a),flip(a)]. 1477 T(x / y,K(y / x,z)) = x / y. [para(7(a,1),1476(a,1,1,1))]. 1478 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1477(a,1),223(a,1,1)),flip(a)]. 1479 T(x \ y,K(x / y,z)) = x \ y. [hyper(286,a,110,a(flip),b,1478,a),flip(a)]. 1480 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1329(a,1,1))]. 1481 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(108(a,1),1330(a,1,1)),flip(a)]. 1482 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(804(a,1),1330(a,1,1)),flip(a)]. 1483 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(805(a,1),1330(a,1,1))]. 1484 (x * y) * T((x * y) \ (z * y),u) != w | (x * T(x \ z,u)) * y = w. [para(1331(a,1),232(a,1,2)),flip(b)]. 1485 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1332(a,1,2,2,1,2,2))]. 1486 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(12(a,1),1332(a,1,2,2,1,2,2)),flip(a)]. 1487 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(94(a,2),1332(a,1,2,2,1,2)),flip(a)]. 1488 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(1451(a,1),578(a,1,2))]. 1489 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(860,a,1469,a)]. 1491 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(108(a,1),1486(a,1,1)),flip(a)]. 1493 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1486(a,1),304(a,1,2))]. 1494 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(824(a,1),1486(a,1,1)),flip(a)]. 1495 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1027(a,2),1486(a,1,1))]. 1496 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(62,a,805,a,b,1491,a)]. 1497 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(9(a,1),1491(a,1,2,2,1,2)),flip(a)]. 1498 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(65(a,1),1491(a,1,2,2,1,2)),flip(a)]. 1499 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(824(a,1),1491(a,1,2)),flip(a)]. 1500 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(912(a,1),1491(a,1,2)),flip(a)]. 1501 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1114(a,2),1491(a,1,2)),flip(a)]. 1502 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(73(a,1),1498(a,1,1,1,2)),flip(a)]. 1503 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(197(a,2),1498(a,1,1,1,2))]. 1504 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(204(a,1),1497(a,1,1,1,2)),flip(a)]. 1505 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(216,a,1504,a(flip),b,202,a(flip))]. 1507 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(115,a,1505,a,b,271,a)]. 1509 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1505(a,2),72(a,1,2,1))]. 1510 x * (T(y * x,x) / x) = T(x * y,x). [para(9(a,1),1509(a,1,2,1,1,1))]. 1511 T(x * (y / x),x) = x * (T(y,x) / x). [para(77(a,1),1509(a,1,2,1,1)),flip(a)]. 1512 x \ T(x * y,x) = T(y * x,x) / x. [hyper(121,a,1510,a)]. 1514 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(115,a,1511,a,b,xx)]. 1515 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(401(a,1),1512(a,2,1,1))]. 1516 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(584(a,1),1512(a,2,1,1))]. 1517 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1514(a,1),1338(a,1,1)),flip(a)]. 1518 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(9(a,1),1507(a,1,2,1,1))]. 1520 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [hyper(131,a,1517,a),flip(a)]. 1521 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(253(a,1),1520(a,2,2,1,1))]. 1522 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1520(a,2),301(a,1,2)),flip(b)]. 1523 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(70(a,1),1501(a,1,1,1,2)),flip(a)]. 1525 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(236(a,2),1523(a,2,1))]. 1526 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(9(a,1),1525(a,1,2,2)),flip(a)]. 1527 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(22(a,2),1525(a,1,2,2))]. 1528 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1439(a,1),1525(a,1,2,1))]. 1529 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1526(a,1),300(a,1))]. 1530 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1526(a,1),210(a,1,2))]. 1531 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(952(a,1),1489(a,1,2,1))]. 1532 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(65(a,1),1495(a,2,2,2,1,2))]. 1533 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [hyper(286,a,202,a(flip),b,1532,a),flip(a)]. 1535 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(317(a,1),1532(a,2,2))]. 1536 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(34,a,104,a(flip),b,1533,a),flip(a)]. 1537 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(11(a,1),1535(a,1,1,1))]. 1538 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(771(a,1),1535(a,1,1,1))]. 1540 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1536(a,1),43(a,1)),flip(a)]. 1541 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1258(a,1),1502(a,1,2)),flip(a)]. 1542 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(86(a,1),1541(a,2,2))]. 1543 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(9(a,1),1542(a,1,1,1))]. 1544 (x * y) * ((y * x) \ y) = y * K(x,y). [para(9(a,1),1543(a,2,2,1))]. 1545 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(288,a,1544,a)]. 1548 T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. [hyper(1522,a,1515,a)]. 1549 R(x,y \ z,T(y,y \ z)) = R(x,y \ z,(y \ z) \ z). [hyper(286,a,103,a(flip),b,665,a),flip(a)]. 1550 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(116,a,575,a(flip),b,764,a)]. 1551 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(12(a,1),1550(a,1,1,1)),flip(a)]. 1552 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(789(a,1),425(a,1,2)),flip(a)]. 1553 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(29(a,1),845(a,1,2))]. 1554 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(62,a,709,a(flip),b,1034,a),flip(a)]. 1555 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(73(a,1),1554(a,1,2)),flip(a)]. 1556 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(570,a,1555,a),flip(a)]. 1558 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(131,a,1556,a)]. 1559 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(216,a,1558,a,b,10,a)]. 1561 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(354(a,1),1108(a,1,2))]. 1562 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(182,a,1561,a)]. 1563 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(354(a,1),1111(a,1,1)),flip(a)]. 1564 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(131,a,1563,a)]. 1565 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(9(a,1),1563(a,1,2)),flip(a)]. 1566 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(216,a,1564,a,b,10,a)]. 1568 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(9(a,1),1565(a,1,1)),flip(a)]. 1569 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [hyper(131,a,1568,a)]. 1570 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(404(a,1),1343(a,1,2)),flip(a)]. 1571 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(404(a,1),1570(a,1,2)),flip(a)]. 1572 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1571(a,1),31(a,1,1)),flip(a)]. 1573 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1571(a,1),1134(a,1,1))]. 1574 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(286,a,1389,a,b,1377,a),flip(a)]. 1575 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(818(a,1),1553(a,1,2,1)),flip(a)]. 1576 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(583(a,1),1575(a,1,1))]. 1577 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(127,a,1576,a)]. 1578 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1412(a,1),1576(a,1,1,2)),flip(a)]. 1579 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1389(a,2),1578(a,2,1))]. 1580 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(171(a,1),1577(a,1,1,2,1,2))]. 1581 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(10(a,1),708(a,2,1,1,2))]. 1582 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(286,a,400,a(flip),b,1581,a),flip(a)]. 1583 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(11(a,1),1582(a,1,1,1,2))]. 1584 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),891(a,1,1))]. 1585 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(770,a,897,a)]. 1586 ((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),932(a,1,2))]. 1587 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(797,a,995,a)]. 1588 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1080(a,1),1587(a,1,1))]. 1589 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(127,a,1588,a)]. 1590 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(204(a,1),1588(a,1,1,2)),flip(a)]. 1592 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1589(a,1),925(a,1,3)),flip(a)]. 1593 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1590(a,1),958(a,1,2,1)),flip(a)]. 1594 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1039(a,1),382(a,1))]. 1595 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(286,a,215,a(flip),b,1043,a),flip(a)]. 1596 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(952(a,1),1595(a,1,2,1,2))]. 1597 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(76(a,1),1101(a,1,2)),flip(a)]. 1598 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(7(a,1),1597(a,2,1,1))]. 1599 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(76(a,1),1598(a,1,2,1))]. 1600 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(127,a,1599,a)]. 1601 L(x,y,z) / x != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(1599(a,1),217(a,2)),flip(a)]. 1602 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1599(a,1),94(a,2,1))]. 1603 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(1599(a,1),601(a,1,2))]. 1604 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(121,a,1138,a)]. 1605 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(121,a,1139,a)]. 1606 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1140(a,2,1,1,1))]. 1607 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(286,a,591,a(flip),b,1606,a),flip(a)]. 1608 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(591(a,1),1607(a,1,1))]. 1609 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(127,a,1608,a),flip(a)]. 1610 (((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),1609(a,1,1)),flip(a)]. 1611 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1003,a,1146,a)]. 1612 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1002,a,1146,a),flip(a)]. 1613 (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(92(a,1),1146(a,1,1))]. 1614 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(116,a,1611,a(flip),b,873,a)]. 1616 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1611(a,2),1291(a,1,1)),flip(a)]. 1618 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1489(a,1),1612(a,1,2))]. 1619 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1045(a,1),1614(a,1,1,2,1))]. 1620 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(121,a,1149,a)]. 1621 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1171(a,1),1226(a,1,2))]. 1622 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(304,a,1243,a),flip(a)]. 1623 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(73(a,1),1289(a,1,1,1)),flip(a)]. 1624 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(223(a,1),1573(a,1,2))]. 1625 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(286,a,1521,a(flip),b,1624,a),flip(a)]. 1626 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(583(a,1),1585(a,2,1))]. 1627 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1604(a,1,2,2,1,2)),flip(a)]. 1628 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(10(a,1),1604(a,1,2,2,1,2)),flip(a)]. 1629 (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),1627(a,1,1)),flip(a)]. 1630 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(8(a,1),1605(a,1,2,2,1,2)),flip(a)]. 1631 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(22(a,2),1630(a,1,1)),flip(a)]. 1632 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1620(a,1,2,2,1))]. 1633 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(417,a,1632,a)]. 1634 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1632(a,1),417(a,1))]. 1635 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(286,a,1165,a(flip),b,1633,a),flip(a)]. 1636 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(73(a,1),1633(a,1,2,1)),flip(a)]. 1637 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(918(a,1),1633(a,1,2)),flip(a)]. 1638 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1206(a,1),1633(a,1,2)),flip(a)]. 1639 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1318(a,1),1633(a,1,2)),flip(a)]. 1640 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1600(a,1),1633(a,1,2)),flip(a)]. 1641 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [hyper(131,a,1635,a(flip))]. 1642 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(952(a,1),1635(a,2,2,1))]. 1643 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1045(a,1),1635(a,2,2,1))]. 1644 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(1636(a,1),1612(a,1,2)),flip(a)]. 1645 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(102(a,2),1644(a,1,2))]. 1646 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(11(a,1),1645(a,2,2,2))]. 1647 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1646(a,1),943(a,1,2,1)),flip(a)]. 1648 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(402(a,2),1637(a,1,2,1))]. 1649 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1646(a,1),1647(a,1,1)),flip(a)]. 1650 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [hyper(305,a,1649,a),flip(a)]. 1651 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(286,a,9,a(flip),b,1650,a),flip(a)]. 1652 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(216,a,1650,a,b,152,a(flip))]. 1655 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(1651(a,1),227(a,1,1)),flip(b)]. 1656 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(62,a,893,a(flip),b,1626,a)]. 1657 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(62,a,800,a(flip),b,1626,a),flip(a)]. 1658 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(216,a,1626,a(flip),b,893,a(flip)),flip(a)]. 1659 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(7(a,1),1626(a,1,2,1,2))]. 1660 (x * L(x \ (x * y),z,u)) * y = (x * y) * L(y,z,u). [para(9(a,1),1626(a,1,2,1)),flip(a)]. 1662 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(9(a,1),1660(a,1,1,2,1))]. 1663 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(568,a,1662,a)]. 1664 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(396,a,1662,a),flip(a)]. 1665 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(286,a,142,a(flip),b,1662,a),flip(a)]. 1666 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(121,a,1662,a)]. 1667 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(115,a,142,a(flip),b,1662,a)]. 1668 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1662(a,1),307(a,1,1))]. 1669 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(216,a,1664,a,b,10,a)]. 1671 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(116,a,92,a(flip),b,1665,a),flip(a)]. 1672 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1666(a,1),1307(a,1,1)),flip(a)]. 1673 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1669(a,1),223(a,1,1))]. 1674 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(121,a,1671,a),flip(a)]. 1675 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1672(a,1),587(a,1,2))]. 1676 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1658(a,1,2,1,2)),flip(a)]. 1677 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(115,a,1676,a,b,xx)]. 1678 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(9(a,1),1677(a,1,2,1,2,1)),flip(a)]. 1679 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1514(a,1),1678(a,1,1)),flip(a)]. 1680 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(62,a,1516,a(flip),b,1679,a),flip(a)]. 1681 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(62,a,893,a(flip),b,1659,a)]. 1682 T(x,x * L(x \ 1,y,z)) = x. [hyper(216,a,800,a(flip),b,1659,a(flip))]. 1684 K(x,x * L(x \ 1,y,z)) = 1. [hyper(54,a,1682,a)]. 1685 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(354(a,1),1682(a,1,2,2))]. 1686 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1598(a,1),1682(a,1,2))]. 1687 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1686(a,1),408(a,2,1,2))]. 1688 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1685(a,1),598(a,1,2)),flip(a)]. 1690 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1412(a,1),1681(a,2,1,2))]. 1691 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1579(a,1),1690(a,1,2))]. 1692 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(33,a,92,a(flip),b,1691,a),flip(a)]. 1693 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(33,a,8,a(flip),b,1691,a),flip(a)]. 1694 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1389(a,2),1691(a,2,1))]. 1696 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1693(a,1),1550(a,1,1,1)),flip(a)]. 1697 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(33,a,1466,a(flip),b,1694,a),flip(a)]. 1698 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(9(a,1),1694(a,1,2,2)),flip(a)]. 1699 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(22(a,2),1694(a,1,2,2))]. 1701 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1435(a,1),1694(a,1,2,1))]. 1702 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1692(a,1),42(a,1)),flip(a)]. 1703 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(286,a,1455,a(flip),b,1697,a),flip(a)]. 1704 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1390(a,1),1696(a,1,2,1)),flip(a)]. 1705 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(364(a,1),1704(a,1,1)),flip(a)]. 1706 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(364(a,1),1705(a,1,2)),flip(a)]. 1707 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(129,a,1706,a)]. 1708 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(73(a,1),1706(a,1,1)),flip(a)]. 1709 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(73(a,1),1706(a,1,2,1)),flip(a)]. 1711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(73(a,1),1708(a,1,2)),flip(a)]. 1712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1711(a,1),1551(a,1,2,1,2))]. 1713 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(570,a,1709,a),flip(a)]. 1715 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [hyper(129,a,1713,a)]. 1716 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(286,a,363,a,b,1715,a),flip(a)]. 1717 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(22(a,2),1628(a,1,1))]. 1718 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(12(a,1),1656(a,1,2,2,1,2,2)),flip(a)]. 1721 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1718(a,1),304(a,1,2))]. 1722 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(286,a,14,a,b,454,a)]. 1723 K(x,T(y,y \ z)) = K(x,(y \ z) \ z). [hyper(623,a,619,a),flip(a)]. 1724 K(x,T(y,y \ z)) != u | K(x,(y \ z) \ z) = u. [para(619(a,1),623(a,1))]. 1725 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(796(a,1),857(a,1,1))]. 1726 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(76(a,1),1725(a,1,2))]. 1727 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(834(a,1),1725(a,1,1,1,2)),flip(a)]. 1728 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(458(a,1),1010(a,1,2))]. 1729 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(27(a,2),1728(a,1,1,1))]. 1730 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(464(a,1),1729(a,1,1))]. 1731 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1730(a,1),23(a,1,1)),flip(a)]. 1732 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(863(a,1),1731(a,1,1))]. 1733 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1732(a,1,1)),flip(a)]. 1734 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(560(a,1),1733(a,2,2))]. 1735 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1734(a,1,1))]. 1736 T(x,x * (y \ 1)) = T(x,y \ x). [para(110(a,1),1735(a,1,2)),flip(a)]. 1737 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(484(a,1),1292(a,2,2))]. 1738 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(7(a,1),1737(a,2,2,1))]. 1739 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1531(a,1),1738(a,1,1))]. 1740 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(265,a,1739,a),flip(a)]. 1742 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(62,a,1618,a,b,1740,a)]. 1743 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1531(a,2),1742(a,1,2))]. 1744 T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),x / y,y). [para(12(a,1),1308(a,2,1,2))]. 1745 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(235(a,1),1465(a,1,1))]. 1746 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1427(a,1),1745(a,1,1))]. 1748 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1590(a,1),1593(a,1,1)),flip(a)]. 1749 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1196(a,1),1091(a,1,2,1))]. 1750 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(131,a,1749,a)]. 1751 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(62,a,1265,a(flip),b,1750,a),flip(a)]. 1752 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(10(a,1),1136(a,1,2,1)),flip(a)]. 1754 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(216,a,1306,a(flip),b,1152,a(flip)),flip(a)]. 1755 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(981(a,1),1152(a,2,2))]. 1756 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(16(a,2),1755(a,1,2,1)),flip(a)]. 1757 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1685(a,1),1274(a,2,2,2))]. 1758 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [hyper(532,a,1494,a),flip(a)]. 1760 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1115(a,2),1494(a,1,2)),flip(a)]. 1761 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(62,a,1505,a,b,1758,a)]. 1762 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(77(a,1),1761(a,1,1))]. 1763 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(9(a,1),1762(a,2,2,1,2)),flip(a)]. 1764 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(86(a,1),1763(a,1,2,1)),flip(a)]. 1765 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1763(a,1),413(a,1,2))]. 1766 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1439(a,1),1528(a,2,1))]. 1767 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(121,a,1766,a)]. 1768 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(121,a,1552,a)]. 1769 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1552(a,2,2,1,2,2))]. 1770 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1633(a,2),1769(a,1,2))]. 1771 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),1770(a,1,2,2,1,2)),flip(a)]. 1772 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(10(a,1),1596(a,1,2,1)),flip(a)]. 1773 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(983(a,1),1638(a,1,2,1))]. 1774 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1297(a,1),1639(a,1,2,1))]. 1775 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(800(a,1),1657(a,1,1))]. 1776 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(116,a,142,a(flip),b,1775,a)]. 1777 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(353(a,1),1775(a,1,1,2,2)),flip(a)]. 1778 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(353(a,1),1777(a,1,2,2)),flip(a)]. 1779 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1389(a,2),1778(a,1,1,2))]. 1780 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1389(a,2),1779(a,2,2))]. 1781 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(121,a,1780,a)]. 1782 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(116,a,270,a(flip),b,1780,a),flip(a)]. 1783 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(116,a,142,a(flip),b,1780,a)]. 1784 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1781(a,1),1307(a,1,1)),flip(a)]. 1785 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1783(a,1),638(a,1,1))]. 1786 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(392(a,1),1701(a,1,2,2)),flip(a)]. 1787 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(76(a,1),1726(a,1,1,1,2,2)),flip(a)]. 1788 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1002,a,1787,a),flip(a)]. 1789 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(7(a,1),1787(a,2,1,1,2))]. 1790 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(10(a,1),1788(a,1,1,1,2)),flip(a)]. 1791 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1788(a,1),1213(a,1,1))]. 1792 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(286,a,1322,a(flip),b,1790,a),flip(a)]. 1793 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(9(a,1),1792(a,1,2,2,2)),flip(a)]. 1794 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(286,a,229,a(flip),b,1757,a),flip(a)]. 1796 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1794(a,1),1030(a,1,1)),flip(a)]. 1797 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(62,a,1566,a(flip),b,1796,a)]. 1798 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(382,a,1797,a)]. 1799 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),1797(a,1,1,2))]. 1800 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),1798(a,1,3))]. 1801 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1798(a,1),1627(a,1,2)),flip(a)]. 1802 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),1799(a,2,2))]. 1803 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(382,a,1802,a)]. 1804 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(182,a,1802,a)]. 1805 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(131,a,1802,a)]. 1806 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1803(a,1),360(a,1,1)),flip(a)]. 1807 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1804(a,1),1092(a,2,1,1,2)),flip(a)]. 1808 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(195(a,2),1805(a,1,1,1)),flip(a)]. 1809 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(565,a,1808,a)]. 1810 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(453,a,1800,a)]. 1811 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(286,a,1389,a,b,1801,a),flip(a)]. 1812 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(131,a,1811,a),flip(a)]. 1813 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(70(a,1),1760(a,1,1,2,1,2)),flip(a)]. 1814 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(8(a,1),1813(a,2,1,2,1))]. 1816 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(33,a,153,a(flip),b,1814,a),flip(a)]. 1817 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),1768(a,1,2,2,1,2,2)),flip(a)]. 1818 L(x / (y \ 1),z,u) * (y \ 1) = y \ L(1 \ (y * x),z,u). [para(693(a,1),759(a,1,2)),flip(a)]. 1819 L(x / (y \ 1),z,u) * (y \ 1) = y \ L(y * x,z,u). [para(64(a,1),1818(a,2,2,1))]. 1820 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(770,a,1819,a)]. 1821 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1820(a,2,2,1))]. 1822 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1821(a,1),1682(a,1,2))]. 1823 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1233(a,2),1822(a,1,2))]. 1824 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1823(a,1),730(a,1,1))]. 1825 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(745,a,763,a),flip(a)]. 1826 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(591(a,1),1825(a,2,1))]. 1827 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(62,a,891,a(flip),b,1826,a)]. 1828 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(216,a,1826,a(flip),b,1139,a),flip(a)]. 1829 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(216,a,1826,a(flip),b,891,a(flip)),flip(a)]. 1830 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(115,a,1826,a(flip),b,1139,a),flip(a)]. 1831 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1826(a,1,2,1,2))]. 1832 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1826(a,1,2,1)),flip(a)]. 1835 (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(670(a,1),1826(a,1,2,1)),flip(a)]. 1836 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1832(a,1,1,2,1))]. 1837 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(518,a,1836,a)]. 1838 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(396,a,1836,a),flip(a)]. 1839 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(121,a,1836,a)]. 1840 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(116,a,142,a(flip),b,1836,a)]. 1841 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1837(a,1),258(a,1,2))]. 1842 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1839(a,1),1307(a,1,1)),flip(a)]. 1843 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1842(a,1),215(a,1,2)),flip(a)]. 1844 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1842(a,1),587(a,1,2))]. 1845 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(116,a,67,a(flip),b,1844,a)]. 1847 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(62,a,280,a(flip),b,1845,a)]. 1849 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1829(a,1,2,1,2)),flip(a)]. 1850 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(116,a,1849,a,b,591,a)]. 1851 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(115,a,1849,a,b,xx)]. 1852 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(253(a,1),1849(a,2,2,1,2))]. 1853 T(x,x * R(x \ 1,y,z)) = x. [hyper(53,a,1852,a)]. 1854 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1852(a,1),1511(a,2,2,1))]. 1855 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(76(a,1),1853(a,1,2,2,1))]. 1856 T(x,(y / (x * y)) * x) = x. [para(616(a,2),1853(a,1,2))]. 1857 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(593(a,1),1853(a,1,2))]. 1858 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1042(a,1),1853(a,1,2))]. 1859 T(x / y,(y / x) * (x / y)) = x / y. [para(709(a,1),1853(a,1,2))]. 1860 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1856(a,1),1158(a,1,1,1)),flip(a)]. 1861 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1858(a,1),23(a,1,1)),flip(a)]. 1862 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(11(a,1),1859(a,1,2,1))]. 1863 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1855(a,1),600(a,1,1,2))]. 1864 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1857(a,1),730(a,1,1))]. 1865 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1862(a,1),730(a,1,1))]. 1866 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(286,a,611,a(flip),b,1865,a),flip(a)]. 1867 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1866(a,1),1135(a,1,1))]. 1868 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(9(a,1),1850(a,1,1,1,2,1)),flip(a)]. 1870 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(62,a,891,a(flip),b,1831,a)]. 1871 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(62,a,890,a(flip),b,1831,a)]. 1873 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(611(a,1),1860(a,1,2))]. 1874 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1863(a,1),1051(a,1,1))]. 1875 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(62,a,224,a(flip),b,1874,a)]. 1876 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1828(a,1,1))]. 1877 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1876(a,1,2,1,1))]. 1878 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),1877(a,2,1,2,1))]. 1879 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(610(a,1),1854(a,2,2))]. 1880 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(610(a,1),1879(a,1,1,2))]. 1881 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(197(a,1),1880(a,1,1,2))]. 1882 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(197(a,1),1881(a,2,2))]. 1883 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(62,a,1873,a,b,1882,a)]. 1884 T(x,x * (y / (x * y))) = x. [hyper(53,a,1882,a)]. 1885 T(x,x * ((x \ y) / y)) = x. [para(10(a,1),1884(a,1,2,2,2))]. 1886 T(x / y,(x / y) * (y / x)) = x / y. [para(12(a,1),1884(a,1,2,2,2))]. 1887 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1885(a,1),283(a,1,1)),flip(a)]. 1888 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(11(a,1),1886(a,1,2,2))]. 1889 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1886(a,1),223(a,1,1)),flip(a)]. 1890 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(286,a,110,a(flip),b,1889,a),flip(a)]. 1891 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1890(a,1),1285(a,2,1,2))]. 1892 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1887(a,1),1285(a,2,1,2))]. 1893 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(53,a,1888,a)]. 1894 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1831(a,1),1871(a,1,2)),flip(a)]. 1895 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1042(a,1),1894(a,1,1)),flip(a)]. 1896 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(10(a,1),1891(a,2,1))]. 1897 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(286,a,70,a(flip),b,1896,a),flip(a)]. 1899 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(433(a,1),777(a,1,1)),flip(a)]. 1900 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(130,a,1899,a)]. 1901 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(108(a,1),1900(a,1,1,1,1,2))]. 1902 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(215(a,1),1901(a,2,2))]. 1903 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(62,a,1353,a(flip),b,924,a)]. 1905 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1903(a,1),647(a,1,1))]. 1906 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(62,a,224,a(flip),b,1905,a),flip(a)]. 1907 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1906(a,1),1637(a,1,2))]. 1908 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(286,a,432,a(flip),b,1199,a),flip(a)]. 1909 T(x,x * (y * T(y \ 1,x))) = x. [para(1908(a,1),248(a,1,2))]. 1910 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1908(a,1),1080(a,1,1)),flip(a)]. 1911 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1908(a,1),1298(a,1,2,1)),flip(a)]. 1912 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1908(a,1),1315(a,1,2)),flip(a)]. 1913 T(x,x * K(y,x)) = x. [para(1259(a,2),1909(a,1,2,2))]. 1914 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1265(a,1),1909(a,1,2,2))]. 1915 T(x * K(y,x),x) = x * K(y,x). [hyper(53,a,1913,a)]. 1916 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1005(a,1),1914(a,1,2,2,2,2))]. 1917 T(x,x * (T(x,y) \ x)) = x. [para(10(a,1),1916(a,1,2,2,2))]. 1918 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1917(a,1),23(a,1,1)),flip(a)]. 1919 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(975,a,1918,a)]. 1920 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(182,a,1919,a)]. 1921 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1590(a,1),1919(a,1,1,2,1))]. 1922 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1189,a,1920,a)]. 1923 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1187,a,1920,a)]. 1924 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1920(a,2),601(a,1,2))]. 1925 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1923(a,1),400(a,1,1)),flip(a)]. 1926 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(354(a,1),1252(a,1,2,2))]. 1927 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(131,a,1926,a)]. 1928 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1927(a,1),781(a,1,2,1))]. 1929 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1927(a,1),1633(a,2,2,1)),flip(a)]. 1930 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1530(a,1),304(a,1))]. 1931 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1893(a,1),1867(a,1,2))]. 1932 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(710,a,1931,a)]. 1933 (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(1932(a,1),208(a,1,2,1))]. 1934 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(286,a,1590,a(flip),b,1921,a),flip(a)]. 1935 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1234(a,1),580(a,1,1))]. 1936 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(752,a,622,a)]. 1937 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(108(a,1),807(a,1,2,1,1)),flip(a)]. 1938 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(216,a,1659,a(flip),b,1937,a),flip(a)]. 1939 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(121,a,1938,a)]. 1940 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(195(a,1),1938(a,1,2)),flip(a)]. 1941 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(689(a,1),1938(a,2,1,2))]. 1942 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(354(a,1),1939(a,1,2,1,2))]. 1943 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(917(a,1),1940(a,2,2,1))]. 1944 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(962(a,1),1941(a,1,2))]. 1945 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(251(a,1),1944(a,2,1,2))]. 1947 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1907(a,1),1943(a,1,1)),flip(a)]. 1948 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(10(a,1),933(a,1,1,1,2,2))]. 1949 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [hyper(490,a,1948,a)]. 1950 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(286,a,780,a(flip),b,1949,a),flip(a)]. 1951 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(12(a,1),1208(a,1,1,1)),flip(a)]. 1953 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(240(a,1),1951(a,1,1)),flip(a)]. 1954 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(286,a,213,a(flip),b,1953,a),flip(a)]. 1955 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(286,a,873,a(flip),b,1954,a),flip(a)]. 1956 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1419,a,895,a),flip(a)]. 1957 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(1956(a,2),42(a,1))]. 1958 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1480(a,1,2,1,1)),flip(a)]. 1959 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(805(a,1),1958(a,1,2))]. 1960 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1493,a,1959,a),flip(a)]. 1961 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),1960(a,1,2,1,2)),flip(a)]. 1962 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(204(a,1),1961(a,1,1,2,1,2)),flip(a)]. 1963 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(253(a,1),1962(a,1,2,1,2))]. 1964 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1084,a,1963,a),flip(a)]. 1965 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(262,a,1963,a),flip(a)]. 1966 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(121,a,1963,a)]. 1968 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1964(a,1),108(a,1,2)),flip(a)]. 1970 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(240(a,1),1964(a,2,1,2))]. 1971 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(317(a,1),1964(a,1,1)),flip(a)]. 1972 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(871(a,1),1964(a,1,1))]. 1973 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1082(a,2),1964(a,1,1)),flip(a)]. 1974 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1264(a,2),1964(a,1,1)),flip(a)]. 1975 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1237(a,2),1970(a,1,2))]. 1976 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1357(a,1),1972(a,2,1,2,2))]. 1977 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(73(a,1),1973(a,2,1,1,2))]. 1978 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(109(a,1),1977(a,1,1,2,2)),flip(a)]. 1979 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1345(a,1),1966(a,1,2,1,2)),flip(a)]. 1980 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(286,a,1972,a,b,1976,a),flip(a)]. 1981 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1980(a,1),695(a,1,1)),flip(a)]. 1982 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(10(a,1),1979(a,2,2,1))]. 1984 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(253(a,1),1982(a,2,2))]. 1986 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(286,a,695,a(flip),b,1981,a),flip(a)]. 1987 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(16(a,2),1986(a,2,1))]. 1988 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(16(a,2),1987(a,1,1))]. 1989 T(K(1 / x,y),x \ 1) = T(K(1 / x,y),1 / x). [para(594(a,1),1988(a,1,2))]. 1990 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1989(a,2),108(a,1,2))]. 1991 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(22(a,2),1631(a,2,2,1,1))]. 1992 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1831(a,1),1991(a,1,2))]. 1993 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(304,a,1992,a),flip(a)]. 1995 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(62,a,616,a,b,1993,a),flip(a)]. 1996 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(873(a,1),1995(a,2,1,2))]. 1997 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1359(a,1),1996(a,1,1,2)),flip(a)]. 1998 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(34,a,1965,a(flip),b,1997,a),flip(a)]. 1999 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1998(a,1),110(a,1,1))]. 2000 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(62,a,1984,a(flip),b,1999,a),flip(a)]. 2002 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2000(a,1),1816(a,1,2,2))]. 2003 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(121,a,2002,a),flip(a)]. 2004 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(318(a,1),1727(a,1,2,1,2)),flip(a)]. 2005 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(204(a,1),2004(a,1,1)),flip(a)]. 2006 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(204(a,1),2005(a,1,2)),flip(a)]. 2007 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2006(a,1),1642(a,1,2,1)),flip(a)]. 2008 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(11(a,1),2007(a,2,2))]. 2009 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [hyper(131,a,2008,a)]. 2012 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(9(a,1),1807(a,1,1,1))]. 2013 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(216,a,2012,a,b,10,a)]. 2016 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(593(a,1),1830(a,2,2,1))]. 2017 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(201(a,1),1892(a,2,1))]. 2018 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(286,a,70,a(flip),b,2017,a),flip(a)]. 2020 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2018(a,1),1030(a,1,1)),flip(a)]. 2021 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(62,a,1559,a(flip),b,2020,a)]. 2022 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(76(a,1),2021(a,1,1,2,1))]. 2023 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(76(a,1),2022(a,2,2,1))]. 2024 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(131,a,2023,a)]. 2025 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2023(a,1),1897(a,1,1))]. 2026 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(11(a,1),2025(a,1,1,2))]. 2027 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(116,a,11,a(flip),b,2024,a),flip(a)]. 2028 K(1 / x,(y / (x * y)) * x) = 1. [para(11(a,1),2026(a,1,2,2))]. 2029 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(55,a,2028,a)]. 2030 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1594,a,2029,a)]. 2031 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(10(a,1),2030(a,1,3,2))]. 2032 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(197(a,2),2030(a,1,3))]. 2033 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2030(a,1),357(a,1,2))]. 2034 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2031(a,1),357(a,1,2))]. 2035 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2032(a,1),356(a,1,2))]. 2036 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2033(a,1),1574(a,1,2))]. 2037 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2036(a,1),126(a,1,2)),flip(a),flip(b)]. 2038 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1059,a,2035,a)]. 2039 T(1 / (1 / x),y / (x * y)) = x. [para(197(a,1),2038(a,1,2))]. 2040 T(x,y / (x * y)) = T(x,x \ 1). [para(2039(a,1),1379(a,1,1)),flip(a)]. 2041 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(286,a,109,a(flip),b,2040,a),flip(a)]. 2042 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(115,a,2040,a,b,1443,a)]. 2043 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2040(a,1),1287(a,2,1))]. 2044 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(12(a,1),2041(a,1,2,2))]. 2045 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2044(a,1),401(a,1,1))]. 2046 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(11(a,1),2027(a,1,1)),flip(a)]. 2047 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2046(a,1),1093(a,1,1,2))]. 2048 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1162,a,2045,a)]. 2049 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(62,a,631,a(flip),b,2047,a),flip(a)]. 2051 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(129,a,2049,a)]. 2054 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(797,a,858,a),flip(a)]. 2055 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2054(a,1,2,1,2,2)),flip(a)]. 2056 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(780(a,1),2054(a,2,1))]. 2057 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(295,a,2055,a),flip(a)]. 2058 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2055(a,1),295(a,1))]. 2059 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1002,a,2057,a),flip(a)]. 2060 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(62,a,1148,a(flip),b,2057,a)]. 2061 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(216,a,2059,a,b,10,a)]. 2063 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(479(a,2),2060(a,2,1,2,1)),flip(a)]. 2064 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(997(a,1),2058(a,1))]. 2066 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(295,a,2056,a),flip(a)]. 2067 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(216,a,2056,a(flip),b,1552,a),flip(a)]. 2068 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),2056(a,1,2,1,2,2))]. 2070 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(62,a,1147,a(flip),b,2068,a)]. 2071 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(62,a,1146,a(flip),b,2068,a),flip(a)]. 2072 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(216,a,2068,a(flip),b,1771,a(flip))]. 2073 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(10(a,1),2068(a,1,2,1)),flip(a)]. 2075 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2068(a,1),2060(a,1,2)),flip(a)]. 2076 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(286,a,1633,a(flip),b,2072,a)]. 2077 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(10(a,1),2072(a,1,1,2,1)),flip(a)]. 2078 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1636(a,1),2072(a,1,1)),flip(a)]. 2079 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(62,a,1633,a(flip),b,2077,a)]. 2080 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1479(a,1),2078(a,1,2,1,2)),flip(a)]. 2081 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(952(a,1),2079(a,1,2,1))]. 2082 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(33,a,1945,a,b,2081,a)]. 2083 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1389(a,2),2081(a,2,1))]. 2084 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(216,a,2082,a,b,10,a),flip(a)]. 2086 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2082(a,1),965(a,1,1))]. 2087 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2083(a,1),1743(a,1,2))]. 2088 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(73(a,1),2080(a,2,2,1))]. 2089 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(11(a,1),2088(a,1,1,2))]. 2090 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(11(a,1),2089(a,1,2,1))]. 2091 T(K(x,y),K(y,z)) = K(x,y). [para(11(a,1),2090(a,2,2))]. 2092 T(K(x,y),K(z,x)) = K(x,y). [hyper(53,a,2091,a)]. 2093 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2091(a,1),108(a,1,2))]. 2094 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2091(a,1),262(a,1,2))]. 2095 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2091(a,1),214(a,1,2,1)),flip(a)]. 2096 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2091(a,1),215(a,1,2,1)),flip(a)]. 2097 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2091(a,1),376(a,1,2,1))]. 2098 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2092(a,1),262(a,1,2))]. 2100 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2093(a,2),473(a,1,2))]. 2101 (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) != w | a(x,K(z,u),K(y,z)) = w. [para(2093(a,1),655(a,1,1,2))]. 2102 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(638,a,2086,a),flip(a)]. 2103 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(286,a,958,a(flip),b,2102,a),flip(a)]. 2104 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2102(a,2),961(a,1))]. 2105 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1789(a,1),2071(a,1,1)),flip(a)]. 2106 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2084(a,1),1027(a,2,2,1)),flip(a)]. 2107 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(10(a,1),2076(a,1,2,1)),flip(a)]. 2108 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(402(a,2),2076(a,2,1,2,1)),flip(a)]. 2109 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(286,a,1389,a,b,2107,a),flip(a)]. 2110 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1637(a,1),2109(a,1,1)),flip(a)]. 2111 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(286,a,1947,a,b,2110,a)]. 2112 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2110(a,2),48(a,1)),flip(a)]. 2113 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(33,a,1389,a(flip),b,2111,a),flip(a)]. 2114 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [hyper(131,a,2113,a)]. 2115 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(240(a,1),2113(a,1,2))]. 2116 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1955(a,1),2115(a,1,1))]. 2117 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(62,a,2000,a(flip),b,2116,a),flip(a)]. 2118 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(109(a,1),2117(a,1,2,1))]. 2119 T(1 / x,y) \ 1 = 1 / T(x \ 1,y). [para(594(a,1),2117(a,1,2,1)),flip(a)]. 2120 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(175,a,2118,a),flip(a)]. 2121 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(181(a,1),2118(a,1,2,1)),flip(a)]. 2122 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [hyper(175,a,2119,a(flip))]. 2123 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2120(a,1),108(a,1,2))]. 2124 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(110(a,1),2120(a,2,1,1))]. 2126 T(1 / (1 / x),y) = 1 / (1 / T(x,y)). [hyper(182,a,2121,a),flip(a)]. 2127 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(286,a,1420,a,b,2126,a)]. 2128 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(110(a,1),2126(a,2,2,2))]. 2129 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2126(a,2),1621(a,1,1,1,2))]. 2130 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(680,a,2123,a)]. 2131 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(110(a,1),2123(a,1,2,1,1)),flip(a)]. 2132 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(286,a,1442,a,b,2130,a),flip(a)]. 2133 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(286,a,109,a,b,2130,a),flip(a)]. 2134 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2130(a,1),959(a,1,2))]. 2135 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(33,a,2087,a,b,2132,a(flip))]. 2137 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2112,a,2135,a),flip(a)]. 2138 T(x,K(y,y \ 1)) = x. [hyper(53,a,2135,a)]. 2139 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(115,a,2135,a(flip),b,2083,a)]. 2140 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2135(a,1),108(a,1,2)),flip(a)]. 2142 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2135(a,1),262(a,1,2))]. 2144 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2138(a,1),219(a,1,2))]. 2145 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2138(a,1),262(a,1,2))]. 2147 T(x,K(y,1 / y)) = x. [para(1386(a,1),2138(a,1,2))]. 2148 T(x,K(y \ 1,y)) = x. [para(1391(a,1),2138(a,1,2))]. 2150 K(x,1 / x) * y = y * K(x,1 / x). [para(2147(a,1),108(a,1,2))]. 2151 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2147(a,1),262(a,1,2))]. 2152 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(53,a,2148,a)]. 2153 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2148(a,1),108(a,1,2))]. 2155 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2148(a,1),218(a,1,2))]. 2156 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2148(a,1),262(a,1,2))]. 2157 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(2148(a,1),202(a,1,2,2))]. 2158 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2148(a,1),532(a,1,2,2))]. 2159 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(62,a,1971,a,b,2152,a)]. 2160 T((x \ 1) * x,y) = K(x \ 1,x). [para(236(a,1),2152(a,1,1))]. 2161 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2152(a,1),262(a,1,2))]. 2162 x * (y * K(z \ 1,z)) != u | x * (K(z \ 1,z) * y) = u. [para(2152(a,1),532(a,1,2,2))]. 2163 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2140(a,2),20(a,2,2)),flip(a)]. 2164 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2140(a,2),459(a,1,2))]. 2165 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(742,a,2153,a),flip(a)]. 2166 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(286,a,1027,a(flip),b,2153,a),flip(a)]. 2167 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(934,a,2153,a(flip))]. 2168 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2153(a,1),92(a,1,1))]. 2170 (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(2153(a,2),588(a,1,1))]. 2171 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2153(a,1),684(a,1,2))]. 2172 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2153(a,2),319(a,1,1))]. 2175 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2159(a,1),1087(a,1,1))]. 2176 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2159(a,2),1420(a,1,2))]. 2177 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(244,a,2124,a)]. 2178 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(62,a,410,a(flip),b,2124,a)]. 2179 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [hyper(244,a,2128,a)]. 2184 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(115,a,2176,a(flip),b,1089,a)]. 2187 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(105(a,2),2131(a,1,1,1,1))]. 2190 (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(2157(a,2),655(a,1,2))]. 2191 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1673(a,1),2166(a,2,2))]. 2192 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2166(a,1),2156(a,1))]. 2193 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2177(a,1),263(a,1,1)),flip(b)]. 2194 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(9(a,1),2178(a,2,1,1))]. 2195 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(62,a,2048,a(flip),b,2194,a)]. 2198 T(x,y / (y * x)) = T(x,x \ 1). [hyper(286,a,109,a,b,2195,a),flip(a)]. 2199 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(10(a,1),2195(a,1,2,2))]. 2200 T(1 / (1 / x),y / (y * x)) = x. [hyper(1382,a,2198,a(flip))]. 2201 T(1 / (1 / x),(y / x) / y) = x. [para(12(a,1),2200(a,1,2,2))]. 2202 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2201(a,1),205(a,1,2,2))]. 2203 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(73(a,1),2199(a,1,2))]. 2204 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(9(a,1),2179(a,1,1,2,2,2))]. 2205 (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(1776(a,2),2202(a,1,2))]. 2206 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1415(a,1),2165(a,1,1))]. 2207 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(750,a,2172,a)]. 2208 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(204(a,1),2129(a,1,1))]. 2210 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2206(a,1),1538(a,1,1))]. 2211 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2140(a,2),2163(a,1,1))]. 2212 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(62,a,1775,a(flip),b,2210,a)]. 2214 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(236(a,2),2212(a,1,1))]. 2215 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2067(a,1,1))]. 2216 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(22(a,2),2215(a,1,2,1,2,1))]. 2217 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2068(a,1),2070(a,1,2)),flip(a)]. 2218 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1633(a,2),2217(a,1,1))]. 2219 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1789(a,1),2105(a,1,2)),flip(a)]. 2220 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(127,a,2219,a)]. 2221 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2220(a,1),794(a,1,1))]. 2222 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(62,a,478,a(flip),b,2221,a),flip(a)]. 2223 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2222(a,1),647(a,1,1))]. 2224 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(638,a,2223,a),flip(a)]. 2225 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(286,a,16,a,b,2224,a)]. 2226 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(16(a,2),2225(a,2,1,2)),flip(a)]. 2227 T(1 / x,K(y,x)) = 1 / x. [hyper(242,a,2226,a)]. 2228 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2227(a,1),223(a,1,1)),flip(a)]. 2229 T(x \ 1,K(y,x)) = x \ 1. [hyper(286,a,110,a(flip),b,2228,a),flip(a)]. 2230 T(K(x,y),y \ 1) = K(x,y). [hyper(53,a,2229,a)]. 2231 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2229(a,1),359(a,2,1))]. 2232 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(10(a,1),2231(a,1,1,1))]. 2233 T(x \ y,K(z,y \ x)) = x \ y. [hyper(286,a,354,a(flip),b,2232,a),flip(a)]. 2234 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2233(a,1),108(a,1,2))]. 2235 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2167(a,1),2207(a,1,1,2))]. 2236 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(62,a,1236,a(flip),b,1109,a)]. 2237 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(286,a,432,a(flip),b,1200,a),flip(a)]. 2238 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(917(a,1),2237(a,2,2))]. 2239 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2238(a,1),1296(a,1,1)),flip(a)]. 2240 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(678(a,1),1487(a,1,1)),flip(a)]. 2241 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [hyper(532,a,2240,a)]. 2242 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1526(a,1),1786(a,2,2))]. 2243 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1195(a,1),1924(a,1,1))]. 2244 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(981(a,1),2243(a,1,1))]. 2245 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1920(a,1),2244(a,1,2))]. 2246 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,2245,a)]. 2247 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1917(a,1),2246(a,1,1))]. 2248 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(62,a,981,a,b,2247,a)]. 2249 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2247(a,1),1756(a,1,2))]. 2250 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(62,a,1925,a(flip),b,2248,a),flip(a)]. 2251 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(676(a,1),2236(a,1,2)),flip(a)]. 2253 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(286,a,237,a(flip),b,2242,a),flip(a)]. 2254 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1435(a,1),2253(a,1,1)),flip(a)]. 2255 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(108(a,1),2254(a,1,1)),flip(a)]. 2256 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1389(a,2),1398(a,1,2,1,1))]. 2257 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(22(a,2),1483(a,1,1,2,2,1,2)),flip(a)]. 2263 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1435(a,1),1703(a,1,1))]. 2264 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(899(a,1),2263(a,1,2))]. 2265 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(62,a,2214,a(flip),b,2264,a)]. 2266 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(286,a,1809,a(flip),b,2265,a),flip(a)]. 2267 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(34,a,2210,a,b,2266,a(flip))]. 2268 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(286,a,195,a(flip),b,2267,a)]. 2269 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(195(a,1),2268(a,2,2,2)),flip(a)]. 2270 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(286,a,8,a,b,2269,a),flip(a)]. 2271 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(121,a,2269,a)]. 2272 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2271(a,1),268(a,1,1))]. 2273 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(458(a,1),2272(a,2,1))]. 2274 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(22(a,2),1717(a,1,2,1,1)),flip(a)]. 2275 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(893(a,1),2274(a,1,2))]. 2276 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1721,a,2275,a),flip(a)]. 2277 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(9(a,1),2276(a,1,2,1,2)),flip(a)]. 2278 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(11(a,1),2277(a,1,1,2,1,2)),flip(a)]. 2279 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1042(a,1),1895(a,1,2,1)),flip(a)]. 2280 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(115,a,68,a(flip),b,2279,a),flip(a)]. 2281 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1908(a,1),1910(a,1,2)),flip(a)]. 2282 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(286,a,9,a(flip),b,2281,a),flip(a)]. 2284 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(871(a,1),2282(a,1,1,2)),flip(a)]. 2285 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1259(a,2),2282(a,1,1,2)),flip(a)]. 2286 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(980,a,2284,a),flip(a)]. 2287 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1261,a,2285,a),flip(a)]. 2288 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(327,a,2287,a),flip(a)]. 2289 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1908(a,1),1911(a,1,1)),flip(a)]. 2290 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(286,a,237,a(flip),b,1912,a),flip(a)]. 2291 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1908(a,1),2290(a,1,1)),flip(a)]. 2292 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1259(a,2),2291(a,1,1)),flip(a)]. 2293 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1259(a,2),2292(a,1,1,2)),flip(a)]. 2294 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),2066(a,2,2,1,2,1))]. 2295 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(127,a,2294,a)]. 2296 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),2295(a,1,1,2,1,2,2)),flip(a)]. 2297 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1297(a,1),2296(a,1,2,1)),flip(a)]. 2298 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(223(a,1),2106(a,1,2))]. 2299 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(262,a,2298,a),flip(a)]. 2301 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2238(a,1),2239(a,1,2,1)),flip(a)]. 2302 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(376,a,2255,a),flip(a)]. 2303 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(912(a,1),2256(a,2,2))]. 2304 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(286,a,1509,a(flip),b,2303,a),flip(a)]. 2305 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(160(a,1),2303(a,2,2,1,1))]. 2306 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(682,a,2304,a),flip(a)]. 2307 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(9(a,1),2304(a,1,2,1)),flip(a)]. 2308 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2304(a,1),820(a,1,2)),flip(a)]. 2309 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(110(a,1),2306(a,2,1))]. 2310 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2307(a,2),1699(a,1,2))]. 2311 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1785,a,2309,a)]. 2312 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(131,a,2311,a)]. 2313 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(76(a,1),2311(a,1,2,2,2)),flip(a)]. 2314 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(9(a,1),2312(a,1,2,1)),flip(a)]. 2315 R(x,y,K(x,x \ 1)) = x. [hyper(471,a,2314,a)]. 2316 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1435(a,1),2314(a,1,2)),flip(a)]. 2317 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2315(a,1),27(a,2,1))]. 2319 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(62,a,1784,a(flip),b,2317,a),flip(a)]. 2321 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1391(a,1),2319(a,1,2,2))]. 2322 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(262,a,2310,a)]. 2323 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2310(a,1),262(a,1))]. 2324 L(x,y,K(x,x \ 1)) = x. [hyper(435,a,2322,a)]. 2325 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1435(a,1),2324(a,1,3))]. 2326 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2325(a,1),25(a,2,1))]. 2327 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2305(a,1),880(a,1,1))]. 2328 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(296(a,1),2308(a,1,1,1)),flip(a)]. 2329 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(236(a,2),2328(a,2,1,1))]. 2330 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(296(a,1),2329(a,1,1)),flip(a)]. 2331 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(236(a,2),2330(a,2,1))]. 2332 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2331(a,2),1527(a,1,2))]. 2333 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(262,a,2332,a)]. 2334 L(x,y,K(x \ 1,x)) = x. [hyper(435,a,2333,a)]. 2335 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2334(a,1),25(a,2,1))]. 2336 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1930,a,2335,a)]. 2337 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(895(a,1),2336(a,1,2)),flip(a)]. 2338 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(392(a,1),2313(a,1,1)),flip(a)]. 2339 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2082(a,1),2316(a,2,1))]. 2340 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1437(a,1),2327(a,1,2))]. 2341 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1437(a,1),2340(a,2,1,2))]. 2342 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1420(a,1),2341(a,2,1))]. 2344 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1436(a,2),2338(a,1,2,2))]. 2345 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2302(a,2),2344(a,1,2))]. 2346 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(504,a,2345,a),flip(a)]. 2347 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1435(a,1),2346(a,1,2))]. 2348 R(x,y,K(x \ 1,x)) = x. [hyper(471,a,2347,a)]. 2349 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(952(a,1),2347(a,1,1)),flip(a)]. 2350 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2348(a,1),27(a,2,1))]. 2351 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2350(a,1),384(a,1,1)),flip(a)]. 2352 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2351(a,1),2349(a,1,2)),flip(a)]. 2353 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(286,a,1422,a(flip),b,2352,a),flip(a)]. 2354 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(771(a,1),2297(a,1,1,2)),flip(a)]. 2355 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(92(a,1),2354(a,2,1))]. 2356 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1389(a,2),2355(a,2,1,2))]. 2357 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(62,a,1774,a(flip),b,2356,a)]. 2358 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(10(a,1),2357(a,1,2,2,1)),flip(a)]. 2359 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(286,a,468,a(flip),b,671,a),flip(a)]. 2360 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(939,a,2359,a)]. 2361 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [hyper(532,a,2360,a),flip(a)]. 2362 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1107,a,2270,a(flip))]. 2363 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(115,a,2362,a(flip),b,2251,a(flip)),flip(a)]. 2365 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(286,a,109,a,b,2363,a),flip(a)]. 2366 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(116,a,2363,a(flip),b,2012,a),flip(a)]. 2367 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(10(a,1),2363(a,1,2,1))]. 2368 T(1 / (1 / x),(y * x) \ y) = x. [hyper(1382,a,2365,a(flip))]. 2369 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(85(a,1),2365(a,1,2,1))]. 2370 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(10(a,1),2368(a,1,2,1))]. 2372 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(286,a,1387,a(flip),b,2366,a),flip(a)]. 2374 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(10(a,1),2372(a,1,2,1)),flip(a)]. 2375 K(x,y \ (y / x)) = K(x,x \ 1). [para(12(a,1),2372(a,1,2,1))]. 2376 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(987(a,2),2372(a,1,2,1))]. 2377 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2372(a,2),1437(a,1,1))]. 2378 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2372(a,2),2135(a,1,1))]. 2379 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(62,a,632,a,b,2375,a)]. 2381 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(76(a,1),2367(a,1,2))]. 2382 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1086(a,2),2367(a,1,1))]. 2383 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2367(a,1),1266(a,1,2)),flip(a)]. 2384 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2367(a,2),1978(a,2,1,2,2)),flip(a)]. 2385 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2367(a,2),2177(a,1,1,2))]. 2386 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) * (x \ y). [para(2370(a,1),108(a,1,2)),flip(a)]. 2387 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1086(a,2),2370(a,1,1,2,2))]. 2389 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1392,a,2374,a)]. 2390 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(9(a,1),2374(a,2,2))]. 2391 T(x,K(y \ z,z \ y)) = x. [para(2374(a,1),2138(a,1,2))]. 2392 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2374(a,1),2358(a,1,1,2))]. 2393 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2391(a,1),256(a,1,2)),flip(b)]. 2394 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(406,a,2385,a)]. 2395 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(34,a,1688,a,b,2386,a)]. 2396 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(34,a,760,a,b,2386,a)]. 2397 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(9(a,1),2395(a,1,2))]. 2398 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2395(a,1),1812(a,1,2)),flip(a)]. 2399 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(16(a,2),2369(a,1,2)),flip(a)]. 2400 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(640,a,2399,a),flip(a)]. 2402 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(62,a,2092,a(flip),b,2400,a),flip(a)]. 2406 1 / (1 / K(x,y)) = K(x,y). [para(2402(a,1),176(a,1,2,2))]. 2408 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2398(a,1),2358(a,1,1))]. 2409 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2374(a,1),2398(a,1,2))]. 2410 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2379(a,1),2409(a,1,2))]. 2411 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1635(a,2),2408(a,1,1,2,2,2)),flip(a)]. 2412 (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(173(a,1),2410(a,1,1)),flip(a)]. 2413 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2392(a,1),2393(a,1))]. 2414 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(62,a,1806,a(flip),b,2397,a)]. 2416 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(73(a,1),2414(a,1,1))]. 2417 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1196(a,1),2376(a,1,2))]. 2418 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(286,a,2374,a(flip),b,2417,a),flip(a)]. 2419 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(62,a,1977,a(flip),b,2384,a),flip(a)]. 2420 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(9(a,1),2419(a,1,1,1)),flip(a)]. 2421 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2406(a,1),2387(a,1,1))]. 2422 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(62,a,2382,a(flip),b,2421,a)]. 2423 (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). [hyper(182,a,2422,a),flip(a)]. 2424 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(9(a,1),2420(a,1,1,1)),flip(a)]. 2425 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(9(a,1),2424(a,2,2))]. 2427 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(939,a,1272,a),flip(a)]. 2428 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(678(a,1),2427(a,2,2))]. 2429 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(435,a,2428,a)]. 2430 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(286,a,1082,a(flip),b,2429,a)]. 2431 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(70(a,1),2429(a,2,1,2))]. 2432 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(871(a,1),2429(a,1,1))]. 2433 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),2432(a,2,1,2))]. 2434 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(395(a,1),2432(a,2,1,2))]. 2436 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2013(a,2),2434(a,1,1))]. 2437 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2378(a,1),2436(a,1,1))]. 2438 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2437(a,2),390(a,1,1)),flip(a)]. 2439 T(x,L(K(y,y \ 1),y,z)) = x. [para(2437(a,2),2148(a,1,2))]. 2441 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(62,a,2390,a(flip),b,2438,a)]. 2442 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1306(a,1),1286(a,2,1))]. 2443 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1334(a,1),2442(a,2,1,1))]. 2444 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(286,a,20,a,b,2443,a)]. 2445 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2443(a,2),473(a,1))]. 2446 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(286,a,1082,a(flip),b,2444,a)]. 2447 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(70(a,1),2444(a,2,1,2))]. 2448 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(1048(a,1),2444(a,2,1,2))]. 2449 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1082(a,1),2445(a,1))]. 2450 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(262,a,2446,a),flip(a)]. 2452 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(62,a,1687,a(flip),b,1603,a)]. 2454 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2452(a,1),780(a,1,1)),flip(a)]. 2455 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(286,a,583,a(flip),b,2454,a),flip(a)]. 2456 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(62,a,1640,a(flip),b,2455,a),flip(a)]. 2457 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),901(a,1,2,1,1))]. 2458 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(1572(a,1),1061(a,1,1))]. 2459 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),1096(a,1,1))]. 2460 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(1932(a,1),2459(a,2,2))]. 2461 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(802(a,1),1247(a,1,2)),flip(a)]. 2462 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(286,a,1259,a,b,1263,a),flip(a)]. 2464 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2462(a,1),638(a,1,1))]. 2466 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2425(a,1),2464(a,1))]. 2467 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(236(a,2),1584(a,1,2,1,1))]. 2468 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2430(a,1),1975(a,1,1))]. 2469 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(317(a,1),2468(a,1,1,1))]. 2470 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1237(a,1),2469(a,1,2))]. 2471 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(62,a,25,a,b,2470,a)]. 2472 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1249(a,1),2471(a,2,1))]. 2473 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2152(a,1),2472(a,1,1))]. 2474 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2473(a,1),92(a,1,2))]. 2476 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2474(a,1),42(a,1)),flip(a)]. 2477 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2016(a,1,1))]. 2478 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(86(a,1),2477(a,1,2,1,1))]. 2479 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(286,a,2299,a(flip),b,2339,a),flip(a)]. 2480 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1435(a,1),2479(a,1,2,2))]. 2481 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2353(a,1),2480(a,1,2))]. 2482 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2184(a,1),2481(a,1,2))]. 2483 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2104,a,2482,a),flip(a)]. 2484 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(115,a,2103,a(flip),b,2482,a(flip))]. 2485 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(33,a,313,a,b,2483,a),flip(a)]. 2486 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(62,a,2003,a(flip),b,2484,a)]. 2487 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(62,a,2423,a(flip),b,2486,a)]. 2488 (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),2486(a,1,1,2))]. 2489 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(110(a,1),2486(a,1,1,2)),flip(a)]. 2490 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(865(a,1),2486(a,1,1))]. 2491 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1646(a,1),2486(a,1,1,2)),flip(a)]. 2492 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(110(a,1),2489(a,1,1)),flip(a)]. 2493 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(9(a,1),2492(a,1,1,2)),flip(a)]. 2494 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(286,a,2485,a(flip),b,2490,a),flip(a)]. 2495 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1265(a,1),2494(a,1,1)),flip(a)]. 2496 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(9(a,1),2493(a,1,1)),flip(a)]. 2497 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(182,a,2496,a)]. 2499 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(9(a,1),2491(a,2,1))]. 2501 (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),2488(a,2,1))]. 2502 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(286,a,1656,a(flip),b,2457,a),flip(a)]. 2503 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(286,a,1827,a(flip),b,2467,a),flip(a)]. 2504 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1820(a,1),2502(a,2,1))]. 2505 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(903(a,1),2503(a,2,1))]. 2506 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(286,a,470,a(flip),b,765,a),flip(a)]. 2507 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1163,a,2506,a)]. 2508 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1347(a,1),2507(a,2,1,1))]. 2509 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2171,a,2170,a),flip(a)]. 2510 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(76(a,1),1031(a,1,2,1)),flip(a)]. 2511 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(76(a,1),2510(a,2,2,2,1))]. 2512 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(76(a,1),2511(a,1,2,1,2,1))]. 2513 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(76(a,1),2512(a,1,2,2)),flip(a)]. 2514 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(286,a,108,a(flip),b,2513,a),flip(a)]. 2515 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1646(a,1),2514(a,1,2,2)),flip(a)]. 2516 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(9(a,1),2515(a,2,2))]. 2518 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1646(a,1),2516(a,1,1,2))]. 2519 (1 / x) \ K(x,y) = K(x,y) * x. [para(9(a,1),2518(a,1,1)),flip(a)]. 2521 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(9(a,1),1712(a,1,2,1)),flip(a)]. 2522 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(10(a,1),1935(a,1,2,1)),flip(a)]. 2524 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1682(a,1),2433(a,1,1,2)),flip(a)]. 2525 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(65(a,1),2524(a,2,1))]. 2526 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(286,a,421,a(flip),b,2525,a),flip(a)]. 2529 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2526(a,1),271(a,1,2)),flip(a)]. 2530 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(286,a,8,a(flip),b,2529,a),flip(a)]. 2531 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1847(a,1),1643(a,1,2,1))]. 2532 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(11(a,1),2531(a,1,2)),flip(a)]. 2533 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [hyper(131,a,2532,a),flip(a)]. 2535 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2532(a,1),232(a,1,2)),flip(b)]. 2536 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2533(a,2),301(a,1,2)),flip(b)]. 2537 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(774(a,1),1928(a,2,1))]. 2538 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(286,a,2461,a(flip),b,2537,a),flip(a)]. 2539 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1562(a,1),1929(a,2,2,1))]. 2540 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(11(a,1),2539(a,2,2))]. 2541 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(62,a,2538,a(flip),b,2540,a)]. 2543 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(131,a,2541,a)]. 2544 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(286,a,2396,a(flip),b,2543,a),flip(a)]. 2545 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(33,a,1420,a,b,2544,a)]. 2546 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(286,a,631,a(flip),b,2545,a),flip(a)]. 2547 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2545(a,1),2383(a,1,2))]. 2548 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(62,a,2437,a,b,2546,a)]. 2549 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2546(a,1),1276(a,1,2))]. 2550 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(286,a,2372,a(flip),b,2548,a),flip(a)]. 2551 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2548(a,1),2441(a,2,1)),flip(a)]. 2553 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1435(a,1),2550(a,1,1))]. 2554 K((x * y) \ x,y) = K(y \ 1,y). [hyper(62,a,2377,a(flip),b,2551,a),flip(a)]. 2556 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(108(a,1),2554(a,1,1,1)),flip(a)]. 2557 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(22(a,1),2556(a,2,2)),flip(a)]. 2558 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(1192(a,1),2556(a,2,1,1))]. 2559 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(286,a,1435,a(flip),b,2553,a),flip(a)]. 2561 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2559(a,1),1074(a,1,2)),flip(a)]. 2562 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(116,a,11,a(flip),b,2561,a),flip(a)]. 2564 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(129,a,2562,a)]. 2565 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(62,a,1217,a,b,2564,a)]. 2566 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(62,a,1219,a(flip),b,2564,a),flip(a)]. 2567 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(11(a,1),2564(a,1,1)),flip(a)]. 2568 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(129,a,2565,a)]. 2569 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2161,a,2566,a)]. 2572 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2161,a,2567,a)]. 2573 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1540,a,2567,a)]. 2574 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1075,a,2567,a)]. 2575 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1388(a,1),2574(a,1,3))]. 2576 R(x,y \ 1,y) = R(x,1 / y,y). [hyper(904,a,2573,a)]. 2577 R(x / (1 / y),y \ 1,y) = x * y. [hyper(294,a,2573,a),flip(a)]. 2578 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(129,a,2573,a)]. 2579 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(73(a,1),2576(a,2,2))]. 2580 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(62,a,1405,a(flip),b,2575,a)]. 2581 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2575(a,1),1404(a,1,1)),flip(a)]. 2582 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2565(a,1),2577(a,1,1))]. 2584 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(62,a,1783,a(flip),b,2580,a)]. 2585 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(62,a,2410,a(flip),b,2584,a)]. 2586 x \ (x / (1 / (1 / y))) = 1 / (1 / (x \ (x / y))). [hyper(115,a,2584,a(flip),b,2410,a(flip))]. 2587 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(73(a,1),2585(a,1,2,2,2,2)),flip(a)]. 2588 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2585(a,1),2179(a,1,1))]. 2589 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(175,a,2586,a(flip))]. 2590 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(73(a,1),2586(a,1,2,2,2)),flip(a)]. 2591 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [hyper(175,a,2587,a)]. 2592 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(9(a,1),2587(a,2,2,2,2))]. 2593 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(73(a,1),2588(a,1,1,2,2)),flip(a)]. 2594 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(176(a,1),2589(a,1,1,2,2)),flip(a)]. 2595 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(22(a,2),2591(a,1,1,2,2,2))]. 2596 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2416(a,2),2592(a,1,2))]. 2597 x / L(y,y \ 1,x) = x * (1 / y). [para(73(a,1),2596(a,2,2,2))]. 2598 L(x,x \ 1,y) = (y * (1 / x)) \ y. [hyper(175,a,2597,a),flip(a)]. 2599 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2597(a,2),631(a,1,1,2))]. 2600 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(62,a,2429,a,b,2599,a)]. 2601 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(62,a,95,a,b,2600,a)]. 2602 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(76(a,1),2600(a,1,2))]. 2603 ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). [hyper(175,a,2593,a)]. 2604 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2594(a,1),180(a,1,2,1))]. 2605 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2381(a,2),2604(a,1,2))]. 2606 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(286,a,280,a,b,2605,a),flip(a)]. 2607 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(121,a,2605,a),flip(a)]. 2608 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(2192,a,2606,a)]. 2609 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(76(a,1),2607(a,2,2,2,1))]. 2610 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2607(a,1),108(a,1,2))]. 2611 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2608(a,1),1535(a,1,1))]. 2612 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(11(a,1),2611(a,1,1)),flip(a)]. 2613 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(109(a,1),2611(a,1,1,2))]. 2614 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2161,a,2612,a)]. 2615 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2612(a,1),43(a,1)),flip(a)]. 2616 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(109(a,1),2612(a,1,1,2))]. 2617 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(879(a,1),2613(a,1,1)),flip(a)]. 2618 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(34,a,1537,a(flip),b,2616,a),flip(a)]. 2619 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(755,a,2616,a(flip)),flip(a)]. 2621 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2153(a,2),2618(a,1,1))]. 2622 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2567(a,1),2618(a,1,1))]. 2623 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(115,a,2619,a(flip),b,654,a),flip(a)]. 2624 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1498(a,1),2582(a,2,1))]. 2625 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2372(a,1),2549(a,1,2))]. 2626 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2365(a,1),2625(a,2,2))]. 2628 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2142,a,2626,a)]. 2629 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(295,a,2626,a),flip(a)]. 2630 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(115,a,2626,a(flip),b,1780,a)]. 2633 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2323,a,2628,a)]. 2634 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(62,a,1179,a(flip),b,2629,a),flip(a)]. 2635 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(62,a,281,a(flip),b,2629,a)]. 2636 L(x,K(x,x \ 1),y) = x. [hyper(1403,a,2630,a)]. 2637 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1435(a,1),2636(a,1,2))]. 2638 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(286,a,281,a(flip),b,2633,a),flip(a)]. 2639 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [para(109(a,1),2634(a,1,1,2))]. 2640 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(174(a,1),2635(a,1,1)),flip(a)]. 2641 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2120(a,2),2635(a,1,2))]. 2642 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(34,a,2622,a(flip),b,2638,a),flip(a)]. 2643 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(34,a,2621,a(flip),b,2638,a),flip(a)]. 2644 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(34,a,2618,a(flip),b,2638,a),flip(a)]. 2645 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(34,a,2621,a,b,2638,a(flip))]. 2646 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(34,a,2618,a,b,2638,a(flip))]. 2649 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(2145,a,2643,a)]. 2650 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2144,a,2643,a),flip(a)]. 2651 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(300,a,2643,a),flip(a)]. 2653 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2569(a,1),2643(a,1,2))]. 2654 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2145,a,2644,a)]. 2655 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2144,a,2644,a),flip(a)]. 2656 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2644(a,1),42(a,1)),flip(a)]. 2658 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2645(a,1),42(a,1)),flip(a)]. 2659 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2645(a,1),2155(a,1)),flip(a)]. 2661 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(34,a,2581,a,b,2649,a),flip(a)]. 2662 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2037,a,2649,a(flip)),flip(a)]. 2663 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2572(a,1),2649(a,1,1))]. 2664 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(116,a,2650,a(flip),b,2153,a(flip))]. 2665 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2650(a,1),42(a,1)),flip(a)]. 2666 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2650(a,1),94(a,2,1))]. 2668 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(856,a,2651,a),flip(a)]. 2669 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2651(a,1),2504(a,1,2,1))]. 2670 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2651(a,1),2505(a,1,2,1))]. 2672 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(34,a,142,a,b,2654,a)]. 2673 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2655(a,1),105(a,2,1))]. 2675 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(62,a,2561,a,b,2664,a)]. 2676 (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. [para(2664(a,1),228(a,1))]. 2677 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [para(2134(a,1),2639(a,1,1))]. 2679 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2126(a,2),2653(a,1,2,2))]. 2680 ((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(2663(a,1),466(a,1,1))]. 2681 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(116,a,2584,a(flip),b,2675,a)]. 2682 K(x / (y * x),y) = K(y \ 1,y). [hyper(34,a,2051,a,b,2662,a)]. 2683 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(12(a,1),2682(a,1,1,2)),flip(a)]. 2685 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(11(a,1),2683(a,2,1))]. 2686 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(33,a,2009,a,b,2677,a)]. 2687 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(286,a,2135,a,b,2686,a)]. 2689 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2687(a,1),309(a,1))]. 2690 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2137(a,1),2687(a,1,1))]. 2691 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2557(a,1),2547(a,1,2)),flip(a)]. 2692 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2126(a,2),2595(a,1,1,2))]. 2693 T(K(T(x,y),1 / x),z) != u | K(T(x,y),T(x,y) \ 1) = u. [para(2690(a,2),2689(a,1))]. 2694 ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). [para(108(a,1),2692(a,1,1))]. 2695 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [hyper(175,a,2694,a(flip))]. 2696 (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). [para(73(a,1),2695(a,1,1,1,1,2))]. 2697 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(175,a,2696,a(flip))]. 2698 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(916(a,1),2602(a,1,1))]. 2699 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(62,a,776,a(flip),b,2698,a),flip(a)]. 2700 T(K(1 / (1 / x),y),x) = K(x,y). [para(2699(a,2),203(a,1,1))]. 2701 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(73(a,1),2700(a,1,1,1,2))]. 2702 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(240(a,1),2700(a,1,1,1,2))]. 2703 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2701(a,1),1990(a,1,2)),flip(a)]. 2704 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(73(a,1),2702(a,1,1,1))]. 2705 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(62,a,1988,a(flip),b,2704,a),flip(a)]. 2706 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(109(a,1),2705(a,1,1)),flip(a)]. 2707 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2137(a,1),2640(a,1,2))]. 2708 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(286,a,2123,a(flip),b,2707,a),flip(a)]. 2709 (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(241(a,1),2641(a,1,1)),flip(a)]. 2710 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2628(a,1),2669(a,1,2,1))]. 2711 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2629(a,1),2710(a,1,2,1))]. 2712 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2628(a,1),2670(a,1,2,1))]. 2713 (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(2120(a,2),2709(a,2,2,1))]. 2714 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(286,a,213,a(flip),b,2713,a),flip(a)]. 2715 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1435(a,1),2679(a,1,1))]. 2716 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(989(a,1),2558(a,2,1))]. 2717 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(286,a,2418,a(flip),b,2716,a),flip(a)]. 2718 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(983(a,1),2108(a,2,2,1))]. 2719 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1648(a,1),2718(a,1,1)),flip(a)]. 2720 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(62,a,1773,a(flip),b,2719,a)]. 2722 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2693,a,2720,a(flip))]. 2723 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(240(a,1),2722(a,2,2))]. 2724 K(T(x,y),x \ 1) = K(T(x,y),1 / x). [hyper(62,a,2137,a(flip),b,2723,a),flip(a)]. 2725 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2724(a,2),2708(a,1,2))]. 2728 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2663(a,1),2680(a,1,2)),flip(a)]. 2729 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(286,a,20,a,b,2728,a),flip(a)]. 2730 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(109(a,2),2729(a,1,2,2))]. 2731 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1391(a,1),2730(a,1,3))]. 2732 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(73(a,1),2731(a,2,3))]. 2733 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2321(a,1),1488(a,1,2,2,2)),flip(a)]. 2734 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2637(a,1),2733(a,1,1)),flip(a)]. 2736 (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(286,a,433,a(flip),b,1835,a),flip(a)]. 2737 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(215(a,1),2736(a,2,2))]. 2738 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1883(a,1),1933(a,1,2))]. 2739 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(711,a,2738,a),flip(a)]. 2740 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(62,a,2460,a(flip),b,2739,a)]. 2741 K(x,y / (x * y)) = K(x,x \ 1). [hyper(62,a,2042,a(flip),b,2740,a),flip(a)]. 2743 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(62,a,2685,a,b,2741,a)]. 2744 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(12(a,1),2741(a,1,2,2)),flip(a)]. 2745 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(286,a,2683,a,b,2744,a)]. 2747 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2743(a,1),2043(a,1,1))]. 2748 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2145,a,2747,a)]. 2749 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(546,a,2747,a)]. 2751 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(116,a,2747,a(flip),b,1698,a(flip))]. 2754 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(286,a,282,a(flip),b,2748,a),flip(a)]. 2755 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(62,a,2314,a(flip),b,2748,a)]. 2756 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2644(a,1),2749(a,1,2)),flip(a)]. 2757 R(x,K(x,x \ 1),y) = x. [hyper(1448,a,2751,a)]. 2758 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1435(a,1),2757(a,1,2))]. 2759 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(2758(a,1),2446(a,1,1)),flip(a)]. 2760 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(62,a,2314,a(flip),b,2754,a)]. 2761 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(34,a,2649,a,b,2754,a)]. 2762 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(33,a,2725,a,b,2754,a)]. 2763 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(62,a,2723,a,b,2762,a)]. 2767 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(115,a,2763,a(flip),b,1389,a(flip))]. 2768 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2763(a,1),2663(a,1,2))]. 2769 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2763(a,1),2714(a,1,2))]. 2770 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1396,a,2767,a)]. 2771 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(62,a,2139,a(flip),b,2767,a)]. 2772 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(129,a,2771,a)]. 2773 T(x,y) \ x = x / T(x,y). [hyper(1185,a,2772,a),flip(a)]. 2774 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(216,a,2772,a,b,952,a)]. 2776 T(x,y) \ x != z | x / T(x,y) = z. [para(2772(a,1),1185(a,1))]. 2777 (T(x,y) \ x) \ x = T(x,y). [hyper(175,a,2773,a(flip))]. 2778 (T(x,y) \ x) * T(x,y) = x. [hyper(129,a,2773,a(flip))]. 2779 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2773(a,2),1922(a,1,1))]. 2780 L(x,T(x,y) \ x,x) = x. [hyper(62,a,2250,a,b,2778,a)]. 2782 (x * y) * T(K(y,x),x) = y * x. [para(2780(a,1),2249(a,1,2)),flip(a)]. 2783 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(62,a,2175,a,b,2774,a)]. 2784 T(K(x,y),y) = K(x,y). [hyper(275,a,2782,a),flip(a)]. 2785 (x * K(y,x)) / x = K(y,x). [hyper(244,a,2784,a)]. 2786 T(x,K(y,x)) = x. [hyper(53,a,2784,a)]. 2787 K(x,y) * y = y * K(x,y). [para(2784(a,1),108(a,1,2)),flip(a)]. 2789 (x * K(y,x)) / x != z | K(y,x) = z. [para(2784(a,1),257(a,1,1,2)),flip(b)]. 2790 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2784(a,1),214(a,1,2,1)),flip(a)]. 2791 T(x,K(y,R(x,z,u))) = x. [hyper(141,a,2786,a)]. 2792 T(x,K(y,T(x,z))) = x. [hyper(136,a,2786,a)]. 2793 T(T(x,y),K(z,x)) = T(x,y). [para(2786(a,1),23(a,1,1)),flip(a)]. 2794 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2786(a,1),213(a,1,2,1)),flip(a)]. 2795 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2786(a,1),214(a,1,2,1)),flip(a)]. 2796 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2786(a,1),215(a,1,2,1)),flip(a)]. 2797 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2786(a,1),375(a,1,2,1))]. 2798 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2786(a,1),398(a,1,2,1,1)),flip(a)]. 2799 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(2786(a,1),589(a,1,2,1,1)),flip(a)]. 2800 T(x,y * T(y \ 1,x)) = x. [para(1082(a,1),2786(a,1,2))]. 2801 T(x,y \ T(y,x)) = x. [para(1086(a,1),2786(a,1,2))]. 2802 T(x,x \ ((y * x) / y)) = x. [para(1277(a,1),2786(a,1,2))]. 2803 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2786(a,1),2361(a,1,1,1)),flip(a)]. 2804 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(2792(a,1),108(a,1,2))]. 2805 T(x / y,K(z,y \ x)) = x / y. [para(110(a,1),2792(a,1,2,2))]. 2806 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(2792(a,1),213(a,1,2,1)),flip(a)]. 2807 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2801(a,1),108(a,1,2))]. 2808 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2801(a,1),213(a,1,2,1)),flip(a)]. 2809 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2801(a,1),375(a,1,2,1))]. 2810 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(2791(a,1),23(a,1,1)),flip(a)]. 2811 L(K(x,y),y,1 / y) = K(x,y). [hyper(62,a,2293,a,b,2785,a)]. 2812 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(62,a,1157,a,b,2785,a)]. 2813 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(2787(a,1),92(a,1,1))]. 2814 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2787(a,1),104(a,1,2))]. 2815 R((x / y) / K(z,y),K(z,y),y) = x / (y * K(z,y)). [para(2787(a,1),478(a,2,2))]. 2817 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2787(a,1),471(a,2,2))]. 2818 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2793(a,1),375(a,1,2,1))]. 2819 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(53,a,2800,a)]. 2820 x \ ((y * x) / y) = ((y * x) / y) / x. [para(2802(a,1),240(a,1,2)),flip(a)]. 2821 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(658,a,2811,a)]. 2822 (1 / x) \ K(y,x) = x * K(y,x). [hyper(115,a,2811,a(flip),b,237,a)]. 2823 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(115,a,2821,a(flip),b,170,a(flip)),flip(a)]. 2825 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(129,a,2783,a)]. 2826 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2807(a,1),970(a,1,2,2))]. 2827 x * (((y * x) / y) / x) = (y * x) / y. [hyper(131,a,2820,a)]. 2828 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(778(a,1),2820(a,2,1))]. 2829 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(329,a,2825,a)]. 2831 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1316(a,1),2827(a,1,2))]. 2832 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(62,a,2717,a(flip),b,2829,a),flip(a)]. 2833 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2829(a,1),2127(a,1,2))]. 2834 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2829(a,1),2661(a,1,1))]. 2835 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2829(a,1),2691(a,2,2))]. 2836 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2829(a,1),2715(a,1,1))]. 2837 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(594(a,1),2755(a,2,1))]. 2839 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2649(a,1),2760(a,1,2)),flip(a)]. 2840 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(546,a,2761,a)]. 2841 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(300,a,2761,a),flip(a)]. 2842 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2761(a,1),2155(a,1)),flip(a)]. 2843 T(x,L(K(y,x),z,u)) = x. [hyper(217,a,2790,a)]. 2845 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2796(a,1),42(a,1)),flip(a)]. 2846 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2819(a,1),1464(a,1,2)),flip(a)]. 2847 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2535,a,2823,a)]. 2849 x * (T(x,y) / x) = T(x,y). [hyper(34,a,2342,a,b,2833,a)]. 2851 x \ T(x,y) = T(x,y) / x. [hyper(121,a,2849,a)]. 2852 (x \ T(x,y)) * x = T(x,y). [para(2849(a,1),77(a,1,1,2))]. 2854 T(x,x \ T(x,y)) = x. [hyper(322,a,2851,a)]. 2855 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(286,a,916,a,b,2851,a)]. 2856 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(286,a,1589,a(flip),b,2851,a),flip(a)]. 2857 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(286,a,881,a(flip),b,2851,a),flip(a)]. 2858 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2851(a,2),263(a,1,1)),flip(b)]. 2859 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2851(a,2),105(a,1,1))]. 2860 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2851(a,2),481(a,1,1))]. 2861 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(2851(a,2),923(a,1))]. 2862 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(2851(a,2),1153(a,1))]. 2863 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2851(a,2),2114(a,1,1))]. 2864 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2851(a,2),2301(a,1,1,2))]. 2865 K(x,x \ T(x,y)) = 1. [hyper(54,a,2854,a)]. 2866 T(x,y) / x != z | x \ T(x,y) = z. [para(2854(a,1),285(a,1,2))]. 2867 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1086(a,2),2854(a,1,2))]. 2868 K(x,T(x,y) / x) = 1. [para(2851(a,1),2865(a,1,2))]. 2869 T(1 / x,T(x,y)) = x \ 1. [hyper(115,a,2868,a(flip),b,1022,a),flip(a)]. 2870 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(62,a,1616,a,b,2852,a)]. 2871 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2852(a,1),18(a,2,1)),flip(a)]. 2872 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2852(a,1),92(a,1,1))]. 2874 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2852(a,1),473(a,1,1,1))]. 2875 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1086(a,2),2852(a,1,1)),flip(a)]. 2876 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2852(a,1),838(a,1,1)),flip(a)]. 2877 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(286,a,76,a(flip),b,2869,a),flip(a)]. 2878 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(62,a,1592,a(flip),b,2869,a)]. 2879 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2869(a,1),223(a,1,1)),flip(a)]. 2880 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2869(a,1),365(a,2,1))]. 2881 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2869(a,1),1088(a,1,1)),flip(a)]. 2882 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1112,a,2867,a)]. 2883 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2877(a,1),1379(a,1,1)),flip(a)]. 2885 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2883(a,1),1625(a,1,1))]. 2886 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2883(a,1),2458(a,1,1,1))]. 2887 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(917(a,2),2866(a,1))]. 2889 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(2875(a,2),579(a,1,2,2))]. 2890 ((x * y) / x) \ y = y / ((x * y) / x). [hyper(182,a,2882,a),flip(a)]. 2891 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(131,a,2882,a)]. 2892 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1045(a,1),2882(a,1,1,1,1))]. 2893 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(116,a,2890,a,b,1314,a)]. 2895 T(x,x / (y * x)) = T(x,x / (x * y)). [para(197(a,1),2870(a,1,2))]. 2898 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(204(a,1),2878(a,1,3,2))]. 2899 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(115,a,10,a(flip),b,2839,a),flip(a)]. 2900 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(115,a,2839,a(flip),b,2157,a(flip))]. 2901 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2839(a,1),16(a,2,1)),flip(a)]. 2903 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1439(a,1),2840(a,1,2,1))]. 2904 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(286,a,2153,a(flip),b,2841,a),flip(a)]. 2905 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2857(a,1),694(a,2,1)),flip(a)]. 2906 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2857(a,1),2486(a,1,1))]. 2908 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2879(a,1),2881(a,1,2)),flip(a)]. 2909 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(286,a,317,a(flip),b,2908,a),flip(a)]. 2912 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2909(a,1),898(a,1,1,2))]. 2913 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2658,a,2899,a)]. 2914 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2156,a,2899,a)]. 2915 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(62,a,1114,a(flip),b,2899,a)]. 2917 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2899(a,1),2621(a,1,1))]. 2918 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1391(a,2),2914(a,1,2))]. 2919 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2203(a,1),2915(a,1,2))]. 2920 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2856(a,1),2487(a,1,2)),flip(a)]. 2921 T(x,y \ ((x * y) / x)) = x. [para(2856(a,1),2854(a,1,2))]. 2922 T(x,T(y,x) \ y) = x. [para(204(a,1),2921(a,1,2,2))]. 2923 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2922(a,1),108(a,1,2))]. 2925 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(62,a,1590,a,b,2923,a)]. 2926 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(2923(a,1),1748(a,1,2,1))]. 2927 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2923(a,1),1934(a,1,1,2,1))]. 2928 L(x,x \ T(x,y),x) = x. [hyper(286,a,73,a(flip),b,2876,a),flip(a)]. 2930 K(x \ 1,y) = K(1 / x,y). [hyper(62,a,2600,a(flip),b,2905,a),flip(a)]. 2931 K(1 / (1 / x),y) = K(x,y). [hyper(62,a,632,a(flip),b,2930,a),flip(a)]. 2932 K((x \ 1) \ 1,y) = K(x,y). [para(73(a,1),2930(a,2,1))]. 2934 T(K(x,y),x) = K(x,y). [para(2931(a,1),2700(a,1,1))]. 2935 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2466,a,2934,a)]. 2937 T(x,K(x,y)) = x. [hyper(53,a,2934,a)]. 2938 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2934(a,1),215(a,1,2,1)),flip(a)]. 2940 K(x,y) * x != z | x * K(x,y) = z. [para(2937(a,1),262(a,1,2))]. 2941 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2937(a,1),213(a,1,2,1)),flip(a)]. 2942 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2937(a,1),214(a,1,2,1)),flip(a)]. 2943 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(2937(a,1),215(a,1,2,1)),flip(a)]. 2944 T((x \ y) \ y,K(x,z)) = T(x,x \ y). [para(2937(a,1),283(a,1,1)),flip(a)]. 2945 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(2937(a,1),376(a,1,2,1))]. 2947 K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). [para(2697(a,1),2932(a,1,1))]. 2948 T(K(x,y),T(x,z)) = K(x,y). [hyper(217,a,2941,a)]. 2949 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(2941(a,2),42(a,1))]. 2952 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2948(a,1),262(a,1,2))]. 2953 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(746,a,2938,a),flip(a)]. 2954 T(x,R(K(x,y),z,u)) = x. [hyper(217,a,2938,a)]. 2955 K(x,R(K(x,y),z,u)) = 1. [hyper(54,a,2954,a)]. 2956 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(2954(a,1),214(a,1,2,1))]. 2957 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(217,a,2943,a)]. 2959 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(62,a,2832,a(flip),b,2745,a),flip(a)]. 2960 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(2959(a,2),2547(a,1,2))]. 2961 (K(x,y) \ y) * K(x,y) = y. [hyper(33,a,85,a(flip),b,2803,a),flip(a)]. 2962 K(x,y) \ y = y / K(x,y). [hyper(127,a,2961,a),flip(a)]. 2963 x / K(y,x) != z | K(y,x) \ x = z. [para(2961(a,1),227(a,1,1)),flip(b)]. 2964 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(217,a,2808,a)]. 2965 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(62,a,282,a(flip),b,2885,a)]. 2966 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2885(a,1),622(a,1,1))]. 2968 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1264(a,2),2906(a,1,1)),flip(a)]. 2969 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1265(a,1),2906(a,1,1)),flip(a)]. 2971 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(286,a,2914,a,b,2919,a)]. 2972 (((x \ y) / y) \ 1) \ 1 = (((x \ 1) \ 1) \ y) / y. [hyper(116,a,2919,a(flip),b,2131,a),flip(a)]. 2973 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(76(a,1),2919(a,1,2,1,1,2)),flip(a)]. 2974 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(76(a,1),2972(a,2,1,1,1))]. 2975 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [hyper(182,a,2973,a)]. 2976 ((x / (x * y)) \ 1) \ 1 = x / (x * ((y \ 1) \ 1)). [para(9(a,1),2975(a,1,2,2,1,1)),flip(a)]. 2977 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2131(a,2),2975(a,1,2))]. 2978 ((x / (y * x)) \ 1) \ 1 = x / (((y \ 1) \ 1) * x). [para(11(a,1),2977(a,1,2,1,1,1)),flip(a)]. 2979 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(286,a,2497,a(flip),b,2920,a),flip(a)]. 2980 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(115,a,2979,a(flip),b,952,a),flip(a)]. 2982 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(204(a,1),2979(a,2,1))]. 2983 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2980(a,1),2133(a,1,2))]. 2984 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(204(a,1),2983(a,1,2,2,1))]. 2985 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1260(a,1),2984(a,1,2,2,2))]. 2986 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(116,a,2982,a(flip),b,2772,a),flip(a)]. 2987 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2925(a,1),2982(a,1,1))]. 2988 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(182,a,2987,a)]. 2989 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1260(a,1),2988(a,1,2,2))]. 2990 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(983(a,1),2768(a,1,1))]. 2991 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(56,a,2799,a)]. 2995 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(62,a,2316,a(flip),b,2837,a)]. 2996 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1435(a,1),2837(a,1,2,2))]. 2997 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2659,a,2995,a)]. 2998 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2161,a,2995,a)]. 2999 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(512,a,2995,a),flip(a)]. 3000 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(34,a,2165,a,b,2995,a),flip(a)]. 3001 ((x \ 1) * y) / (x \ 1) = ((1 / x) * y) / (1 / x). [hyper(116,a,2995,a(flip),b,2564,a)]. 3003 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2995(a,1),2618(a,1,1))]. 3004 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(532,a,3000,a),flip(a)]. 3005 L(x,y,y \ 1) = L(x,y,1 / y). [hyper(441,a,3000,a),flip(a)]. 3006 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(300,a,3000,a),flip(a)]. 3007 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(121,a,3000,a)]. 3008 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(235(a,1),3000(a,1,2)),flip(a)]. 3009 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3000(a,1),273(a,1,1))]. 3010 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3000(a,1),2697(a,1,1,1,1))]. 3011 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(73(a,1),3005(a,2,3))]. 3012 L(x,1 / y,K(y \ 1,y)) = x. [hyper(1957,a,3006,a),flip(a)]. 3013 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(286,a,170,a(flip),b,3006,a),flip(a)]. 3014 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3006(a,1),581(a,1,2))]. 3015 T(x,(x \ 1) * y) = T(x,(1 / x) * y). [para(3006(a,1),2337(a,1,2)),flip(a)]. 3016 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1388(a,1),3012(a,1,3))]. 3017 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3016(a,1),1434(a,1,2)),flip(a)]. 3018 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(2162,a,2996,a)]. 3019 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(286,a,2148,a,b,2996,a)]. 3020 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(115,a,10,a(flip),b,2996,a),flip(a)]. 3021 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2646(a,1),2996(a,1,2)),flip(a)]. 3022 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1702,a,2997,a)]. 3024 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2997(a,1),173(a,1,1,2))]. 3025 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2997(a,1),439(a,1,2,2))]. 3026 L(x,y \ 1,y) = L(x,1 / y,y). [hyper(757,a,3022,a),flip(a)]. 3027 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(286,a,1936,a(flip),b,3026,a),flip(a)]. 3028 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(73(a,1),3026(a,2,2))]. 3029 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(280(a,2),3026(a,2,2))]. 3030 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(300,a,2998,a),flip(a)]. 3031 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2998(a,1),20(a,2,2)),flip(a)]. 3032 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2998(a,1),423(a,1,1))]. 3033 ((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(2998(a,1),430(a,1,1))]. 3034 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2656,a,3017,a)]. 3035 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),3017(a,1,2))]. 3037 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2659,a,3020,a)]. 3038 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(286,a,2822,a(flip),b,3020,a),flip(a)]. 3039 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(115,a,3020,a(flip),b,2904,a),flip(a)]. 3040 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3021(a,1),235(a,1,2)),flip(a)]. 3041 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(534,a,3028,a),flip(a)]. 3042 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1150(a,1),3030(a,1,2)),flip(a)]. 3043 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(62,a,2347,a(flip),b,3034,a)]. 3044 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2545(a,1),3034(a,1,2))]. 3045 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3034(a,1),2568(a,1,1))]. 3047 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(2162,a,3043,a)]. 3048 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1529,a,3047,a),flip(a)]. 3049 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(115,a,10,a(flip),b,3047,a),flip(a)]. 3050 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2829(a,1),3047(a,1,2,1))]. 3051 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(286,a,2661,a(flip),b,3048,a),flip(a)]. 3052 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(2658,a,3049,a)]. 3053 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2519(a,1),3049(a,1,2))]. 3055 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1386(a,1),3052(a,1,1))]. 3056 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(2151,a,3055,a)]. 3057 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3014(a,1),2891(a,1,1,1,1))]. 3058 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2900(a,1),3041(a,1,1))]. 3059 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(116,a,2287,a(flip),b,3003,a(flip)),flip(a)]. 3060 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2842,a,3038,a)]. 3061 x * K(y \ 1,y) != y * K(z,y) | (y \ 1) \ K(z,y) = x. [para(3038(a,1),43(a,1)),flip(a)]. 3062 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(62,a,2760,a,b,3060,a)]. 3063 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3045(a,1,1)),flip(a)]. 3064 T(x,1 / (1 / y)) = T(x,y). [hyper(216,a,3051,a(flip),b,144,a(flip))]. 3066 T(x,y \ 1) = T(x,1 / y). [para(73(a,1),3064(a,1,2,2)),flip(a)]. 3067 T(x,(y \ 1) \ 1) = T(x,y). [para(176(a,1),3064(a,1,2)),flip(a)]. 3069 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3066(a,2),108(a,1,2))]. 3071 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3067(a,1),108(a,1,2))]. 3073 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(286,a,281,a,b,3071,a),flip(a)]. 3074 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(576,a,3073,a)]. 3075 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2999(a,2),3058(a,1,1))]. 3076 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(2923(a,1),2926(a,2,1))]. 3077 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(33,a,2835,a(flip),b,2960,a),flip(a)]. 3078 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3077(a,1),1402(a,1,1))]. 3079 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(33,a,2383,a,b,2971,a)]. 3080 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3079(a,1),2834(a,1,1))]. 3081 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(3008(a,2),2277(a,1,1))]. 3082 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2126(a,2),3050(a,2,1))]. 3083 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(2987(a,1),3076(a,1,2)),flip(a)]. 3084 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(62,a,2662,a(flip),b,3078,a)]. 3085 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(286,a,2978,a(flip),b,3084,a),flip(a)]. 3086 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(104(a,1),3084(a,2,1,1,2))]. 3087 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3084(a,2),3067(a,1,2))]. 3088 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(286,a,193,a,b,3085,a)]. 3089 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(175,a,3085,a(flip))]. 3090 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(109(a,2),3085(a,2,2,1)),flip(a)]. 3091 T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). [para(197(a,2),3087(a,2,2))]. 3093 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(76(a,1),3089(a,1,1,1))]. 3094 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(286,a,1291,a,b,3091,a)]. 3095 R(x,1 / x,y) \ y = (x \ 1) * y. [para(76(a,1),3093(a,2,1,1))]. 3096 R(x,x \ 1,y) = R(x,1 / x,y). [hyper(549,a,3095,a)]. 3097 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3096(a,2),1427(a,1,1))]. 3098 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(62,a,2217,a(flip),b,3094,a)]. 3099 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3088(a,2),3094(a,2,2)),flip(a)]. 3100 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(115,a,10,a(flip),b,3082,a),flip(a)]. 3101 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2665,a,3100,a)]. 3102 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3100(a,1),2839(a,1,2))]. 3103 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1391(a,1),3101(a,1,2))]. 3104 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(131,a,2847,a(flip))]. 3105 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2871(a,1),970(a,1,2)),flip(a)]. 3106 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(10(a,1),3105(a,1,1)),flip(a)]. 3107 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,2277,a,b,2872,a)]. 3108 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2925(a,1),2986(a,1,2))]. 3109 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2857(a,1),3108(a,2,1))]. 3110 R(1 / (1 / x),x \ 1,y) = R(1 / (1 / x),1 / x,y). [hyper(62,a,1427,a(flip),b,3097,a)]. 3111 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(286,a,363,a(flip),b,3110,a),flip(a)]. 3112 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3104(a,1),1619(a,1,1)),flip(a)]. 3113 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3111(a,2),88(a,1,2,2))]. 3114 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2851(a,2),2864(a,2,2,1,2))]. 3115 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(286,a,2923,a(flip),b,2927,a),flip(a)]. 3116 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(34,a,2748,a,b,2990,a),flip(a)]. 3117 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(634,a,3116,a)]. 3118 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(286,a,2734,a,b,3019,a),flip(a)]. 3119 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [para(2566(a,1),3019(a,2,2))]. 3120 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2379(a,1),3044(a,1,2))]. 3121 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2703(a,1),3053(a,1,2))]. 3123 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2987(a,1),3115(a,1,1,2))]. 3124 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(33,a,3114,a(flip),b,3123,a(flip))]. 3125 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(62,a,2998,a(flip),b,3121,a)]. 3126 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3125(a,1),1651(a,1,1))]. 3127 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(88(a,2),3126(a,1,1,2))]. 3128 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(400(a,1),2860(a,2,1))]. 3129 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1636(a,1),3099(a,2,1))]. 3130 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3129(a,2),2940(a,1))]. 3131 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2763(a,1),2769(a,1,2))]. 3134 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3131(a,1),2837(a,1,2))]. 3135 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(76(a,1),2836(a,2,2))]. 3138 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3135(a,1),2839(a,1,2))]. 3139 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2968(a,1),2898(a,1,3))]. 3140 T(x,K(y,x) \ 1) = x. [para(2968(a,1),2922(a,1,2))]. 3141 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3140(a,1),108(a,1,2))]. 3142 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3141(a,1),195(a,2,1)),flip(a)]. 3143 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(286,a,3139,a(flip),b,3142,a),flip(a)]. 3145 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(2991(a,1),119(a,1))]. 3146 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(73(a,1),3103(a,2,1,1,2))]. 3147 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2659,a,3146,a)]. 3148 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(9(a,1),3147(a,1,2)),flip(a)]. 3149 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [hyper(131,a,3148,a)]. 3150 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1767(a,2),3149(a,1,2))]. 3151 T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). [para(3037(a,1),3149(a,1,2))]. 3152 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3151(a,2),946(a,1,2))]. 3153 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3118(a,2),2601(a,1,2))]. 3154 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1391(a,1),3120(a,1,2))]. 3155 (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),2953(a,2,1,1,1))]. 3157 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2326(a,1),3032(a,1,2))]. 3158 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3157(a,1),1968(a,2,2,1,2)),flip(a)]. 3160 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1057(a,1),2886(a,2,1))]. 3162 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3160(a,2),637(a,1))]. 3163 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2935(a,1),2985(a,1,2,2))]. 3164 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3163(a,1),240(a,1,2))]. 3165 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3164(a,1),2634(a,1,1))]. 3166 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3165(a,1),2312(a,1,2)),flip(a)]. 3167 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3166(a,1),3062(a,1,2))]. 3168 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(115,a,3167,a(flip),b,947,a),flip(a)]. 3169 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(950(a,1),3168(a,1,2))]. 3170 (x \ 1) * (T(1 / x,y) * z) = (1 / x) * (T(x \ 1,y) * z). [para(76(a,1),3134(a,1,2,1,1,1)),flip(a)]. 3171 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(116,a,3152,a(flip),b,3170,a)]. 3172 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(33,a,3018,a,b,3170,a(flip))]. 3174 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3172(a,1),2839(a,1,2))]. 3175 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3119(a,1),3153(a,1,2))]. 3176 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3086(a,1),477(a,1,1))]. 3177 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(286,a,464,a,b,3063,a)]. 3178 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2118(a,1),3080(a,2,2,2))]. 3179 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(73(a,1),3178(a,2,2))]. 3181 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3175(a,1),3127(a,1,1,2))]. 3182 K(x \ 1,y / (x \ 1)) = K(x \ 1,y / (1 / x)). [hyper(62,a,3126,a(flip),b,3181,a)]. 3183 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(11(a,1),3182(a,2,2))]. 3184 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1216(a,1),3183(a,1,2))]. 3185 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2675(a,1),3184(a,1,2))]. 3186 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2754(a,1),3185(a,1,2))]. 3187 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2903(a,1),3150(a,1,2))]. 3188 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(109(a,2),3187(a,1,2,1))]. 3189 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2590(a,1),3154(a,2,1))]. 3190 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3189(a,1),2624(a,1,1))]. 3191 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2073(a,1),3098(a,1,2)),flip(a)]. 3192 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(871(a,1),3190(a,2,1,2))]. 3193 R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). [para(778(a,1),2828(a,1,2))]. 3194 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(286,a,1746,a(flip),b,3193,a),flip(a)]. 3195 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2621(a,1),2901(a,1,2)),flip(a)]. 3196 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(286,a,16,a,b,3195,a),flip(a)]. 3197 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2645(a,1),3196(a,1,1)),flip(a)]. 3198 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(2899(a,1),3196(a,1,1))]. 3200 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3106(a,1),3107(a,1,1))]. 3201 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(62,a,224,a(flip),b,3200,a)]. 3202 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(9(a,1),3201(a,1,1)),flip(a)]. 3203 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(115,a,2928,a(flip),b,3202,a)]. 3204 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(969(a,1),3202(a,1,2))]. 3205 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2770(a,1),3202(a,1,2)),flip(a)]. 3206 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1646(a,1),3203(a,1,1,2)),flip(a)]. 3207 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2856(a,1),3203(a,1,1)),flip(a)]. 3208 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2809,a,3204,a)]. 3209 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(286,a,2863,a(flip),b,3205,a),flip(a)]. 3211 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3209(a,1),578(a,2,1))]. 3212 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2979(a,1),3207(a,1,2)),flip(a)]. 3213 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(204(a,1),3212(a,1,1,2)),flip(a)]. 3214 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(204(a,1),3213(a,1,2,1)),flip(a)]. 3215 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(131,a,3214,a)]. 3216 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(9(a,1),3206(a,2,1))]. 3218 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2499(a,1),3216(a,1,2))]. 3219 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(10(a,1),3211(a,1,2,2,2))]. 3221 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2869(a,1),3219(a,1,2,2)),flip(a)]. 3222 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1352(a,1),3221(a,2,2))]. 3224 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(286,a,235,a(flip),b,3222,a),flip(a)]. 3225 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(300,a,3224,a),flip(a)]. 3227 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(2887,a,3225,a(flip)),flip(a)]. 3228 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1646(a,1),3227(a,1,1,2))]. 3229 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(9(a,1),3228(a,1,1)),flip(a)]. 3231 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1646(a,1),3229(a,1,2)),flip(a)]. 3232 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(3231(a,2),299(a,1))]. 3233 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(3232,a,235,a(flip)),flip(a)]. 3234 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1461,a,3233,a)]. 3235 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3233(a,1),43(a,1))]. 3236 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(3234(a,1),92(a,1,1))]. 3237 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3234(a,1),489(a,1,2))]. 3238 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(1655,a,3112,a(flip)),flip(a)]. 3239 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(62,a,2895,a,b,3238,a)]. 3240 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(62,a,27,a,b,3239,a)]. 3241 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2041(a,1),3240(a,1,1)),flip(a)]. 3242 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(115,a,936,a,b,3241,a)]. 3244 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(62,a,1453,a(flip),b,3242,a)]. 3245 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3242(a,1),2501(a,1,1)),flip(a)]. 3246 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(286,a,3104,a,b,3244,a)]. 3247 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1875(a,2),3246(a,1,2))]. 3248 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3245(a,1),3162(a,1))]. 3249 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1045(a,1),2892(a,2,1))]. 3250 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3174(a,1),2966(a,1,2))]. 3251 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3250(a,1),439(a,1))]. 3252 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2193,a,3176,a)]. 3253 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2758(a,1),2759(a,2,2,1,1))]. 3254 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(286,a,2855,a(flip),b,3253,a),flip(a)]. 3256 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2855(a,1),3254(a,1,1))]. 3257 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3256(a,1),2912(a,1,1))]. 3258 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2909(a,1),3257(a,2,1))]. 3260 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(131,a,3258,a)]. 3262 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2158,a,3260,a)]. 3263 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2998(a,1),3033(a,1,2)),flip(a)]. 3264 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3263(a,2),439(a,1))]. 3265 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),3057(a,1,1,1))]. 3267 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3265(a,1),43(a,1)),flip(a)]. 3268 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2406(a,1),2411(a,2,1,2))]. 3269 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1641(a,1),3268(a,2,1))]. 3270 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(286,a,70,a(flip),b,3269,a),flip(a)]. 3271 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2413,a,3270,a)]. 3273 (((x * y) / x) \ y) \ 1 = 1 / (((x * y) / x) \ y). [hyper(115,a,3271,a(flip),b,2389,a)]. 3274 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [hyper(175,a,3273,a(flip))]. 3275 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2496(a,1),3274(a,1,1))]. 3276 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1908(a,1),3275(a,1,1,2)),flip(a)]. 3277 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(9(a,1),3276(a,2,1))]. 3278 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(286,a,2494,a(flip),b,3277,a),flip(a)]. 3280 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1908(a,1),3278(a,1,1))]. 3281 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3280(a,1),2289(a,1,2)),flip(a)]. 3282 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(1259(a,2),3281(a,1,1,2)),flip(a)]. 3283 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2495(a,1),3282(a,1,2))]. 3284 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(9(a,1),3283(a,1,2,1,2,2,1))]. 3285 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(108(a,1),3284(a,1,2,1,2))]. 3286 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(16(a,2),3285(a,1,2,1)),flip(a)]. 3287 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2935(a,1),2989(a,1,2)),flip(a)]. 3288 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(286,a,2962,a,b,3287,a),flip(a)]. 3289 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2969(a,1),3287(a,1,2))]. 3290 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(9(a,1),3289(a,1,2,1,2,2,1))]. 3291 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(108(a,1),3290(a,1,2,1,2))]. 3292 x * (K(y,x) \ 1) = x / K(y,x). [para(16(a,2),3291(a,1,2,1))]. 3293 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(286,a,2962,a,b,3292,a),flip(a)]. 3294 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(115,a,2962,a,b,3292,a)]. 3295 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(115,a,3293,a(flip),b,3141,a)]. 3296 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3293(a,1),42(a,1))]. 3297 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(2968(a,2),3293(a,1,2))]. 3298 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3293(a,1),3143(a,1,1))]. 3300 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3295(a,1),872(a,1,2,1))]. 3301 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(131,a,3298,a)]. 3302 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3301(a,1),2619(a,1,1)),flip(a)]. 3303 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(62,a,281,a(flip),b,3300,a),flip(a)]. 3305 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(634,a,3303,a),flip(a)]. 3307 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(286,a,3305,a(flip),b,3302,a),flip(a)]. 3308 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3307(a,1),2508(a,1,2,2))]. 3309 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3288(a,1),3083(a,1,1)),flip(a)]. 3310 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3288(a,1),3109(a,1,2)),flip(a)]. 3311 1 / (K(x,y) \ y) = K(x,y) / y. [para(1259(a,2),3310(a,1,1)),flip(a)]. 3312 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(175,a,3311,a)]. 3313 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(546,a,3308,a),flip(a)]. 3314 K(x,(y \ 1) \ 1) = K(x,y). [hyper(623,a,3313,a(flip))]. 3316 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(62,a,3197,a,b,3314,a)]. 3317 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(62,a,3198,a(flip),b,3314,a),flip(a)]. 3318 K(x,y \ 1) = K(x,1 / y). [para(76(a,1),3314(a,1,2,1))]. 3319 K(x,1 / (1 / y)) = K(x,y). [para(181(a,1),3314(a,1,2)),flip(a)]. 3320 K(x,T(y,1 / y)) = K(x,y). [para(1361(a,2),3314(a,1,2))]. 3321 K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). [para(2122(a,1),3314(a,1,2))]. 3322 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2394(a,2),3314(a,1,2))]. 3323 K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). [para(2974(a,1),3314(a,1,2))]. 3328 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3318(a,2),2288(a,2,1))]. 3330 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2307(a,2),3316(a,1,1))]. 3332 K(x \ ((x \ 1) \ y),x) = K(x \ ((1 / x) \ y),x). [para(3039(a,1),3317(a,1,1)),flip(a)]. 3333 K(T((x \ 1) * y,x),x) = K(T((1 / x) * y,x),x). [para(2997(a,1),3330(a,1,1,1)),flip(a)]. 3334 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(286,a,3113,a,b,3323,a)]. 3335 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(286,a,876,a,b,3332,a)]. 3336 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(2857(a,1),3309(a,1,2))]. 3337 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1259(a,2),3336(a,1,2)),flip(a)]. 3338 1 / (x \ K(y,x)) = K(y,x) \ x. [hyper(182,a,3337,a)]. 3339 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3075(a,1),3081(a,1,1))]. 3340 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2855(a,1),3158(a,2,1))]. 3341 (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(92(a,1),1228(a,1,2,1,1))]. 3342 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1163,a,3341,a),flip(a)]. 3343 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(889(a,1),3342(a,2,2))]. 3344 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(435,a,3343,a),flip(a)]. 3345 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,1245,a(flip),b,3344,a),flip(a)]. 3346 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1824(a,1),3345(a,1,1,2)),flip(a)]. 3347 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(286,a,2431,a(flip),b,3346,a),flip(a)]. 3348 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(34,a,236,a(flip),b,3347,a),flip(a)]. 3349 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(76(a,1),3348(a,1,1))]. 3350 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(899(a,1),3349(a,1,2))]. 3351 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(129,a,3350,a)]. 3352 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(34,a,2530,a,b,3351,a)]. 3354 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1598(a,1),3352(a,1,1)),flip(a)]. 3355 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(286,a,2060,a(flip),b,2063,a),flip(a)]. 3356 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(76(a,1),3177(a,1,1,3))]. 3357 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2576(a,2),3356(a,1,1))]. 3358 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(1354(a,1),2448(a,1,1,2,1))]. 3359 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(1861(a,1),3358(a,1,1,2)),flip(a)]. 3361 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3074(a,1),3359(a,2,1))]. 3362 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(201(a,1),3361(a,2,1))]. 3363 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(286,a,343,a(flip),b,3362,a),flip(a)]. 3366 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3363(a,1),271(a,1,2)),flip(a)]. 3367 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(286,a,8,a(flip),b,3366,a),flip(a)]. 3368 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3367(a,1),227(a,1,1)),flip(b)]. 3369 (((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),1586(a,1,1,1,2,2)),flip(a)]. 3370 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(286,a,780,a(flip),b,3369,a),flip(a)]. 3371 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(286,a,2056,a(flip),b,3370,a),flip(a)]. 3372 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(780(a,1),3371(a,1,1))]. 3373 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2068(a,1),3372(a,2,1))]. 3374 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,3373,a),flip(a)]. 3375 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1634,a,3374,a),flip(a)]. 3376 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),3374(a,1,2,1)),flip(a)]. 3377 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(286,a,1389,a,b,3376,a),flip(a)]. 3378 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1045(a,1),3377(a,1,1,2,1))]. 3379 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3104(a,1),3378(a,1,1))]. 3380 (((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),1610(a,2,2,1,1))]. 3381 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1826(a,1),3380(a,1,1))]. 3382 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1831(a,1),3381(a,1,1,1))]. 3383 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(473,a,3382,a),flip(a)]. 3385 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,1050,a(flip),b,3383,a),flip(a)]. 3386 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1864(a,1),3385(a,1,1,2)),flip(a)]. 3387 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(34,a,2450,a(flip),b,3386,a),flip(a)]. 3388 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3368,a,3387,a)]. 3389 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(115,a,3388,a(flip),b,2280,a)]. 3390 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(76(a,1),3388(a,1,2))]. 3391 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1033(a,1),3390(a,1,1))]. 3392 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1054(a,1),3391(a,1,1)),flip(a)]. 3393 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(92(a,1),1613(a,1,2,1,2,1))]. 3394 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(62,a,1147,a(flip),b,3393,a),flip(a)]. 3395 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1146(a,1),3394(a,2,2))]. 3396 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(435,a,3395,a),flip(a)]. 3397 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(10(a,1),3396(a,1,2,1)),flip(a)]. 3398 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(286,a,1389,a,b,3397,a),flip(a)]. 3399 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1640(a,1),3398(a,1,1))]. 3400 (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),1629(a,2,2,1,1))]. 3401 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(892(a,1),3400(a,1,2))]. 3402 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(800(a,1),3401(a,1,2,2))]. 3403 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(439,a,3402,a),flip(a)]. 3405 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(1602(a,1),3403(a,1,2))]. 3406 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),3405(a,1,2,2)),flip(a)]. 3407 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2456(a,1),3406(a,1,1)),flip(a)]. 3408 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(286,a,3399,a(flip),b,3407,a),flip(a)]. 3409 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(33,a,1389,a(flip),b,3408,a),flip(a)]. 3410 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(62,a,3354,a,b,3409,a)]. 3411 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(182,a,3410,a),flip(a)]. 3413 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [para(176(a,1),3410(a,1,1,1)),flip(a)]. 3414 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(73(a,1),3411(a,1,1,2)),flip(a)]. 3415 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(268(a,1),3411(a,2,2,2))]. 3417 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [hyper(175,a,3413,a),flip(a)]. 3418 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3414(a,1),3411(a,1,1)),flip(a)]. 3419 L((x \ 1) \ 1,y,z) != u \ 1 | L(x,y,z) \ 1 = u. [para(3417(a,2),47(a,1))]. 3420 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3415(a,1),92(a,1,2))]. 3421 K(x,L(L(y \ 1,z,u),w,v5)) = K(x,L(L(1 / y,z,u),w,v5)). [para(3418(a,1),3319(a,1,2)),flip(a)]. 3422 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(9(a,1),3420(a,2,2,2,2,2,2))]. 3423 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(173(a,1),2412(a,1,2,2,2,2))]. 3424 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(62,a,3422,a(flip),b,3423,a),flip(a)]. 3426 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3420(a,1),3424(a,2,2))]. 3427 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(65(a,1),3426(a,2,2,2,2,2,2,2))]. 3429 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(73(a,1),3427(a,2,2,2,2,2))]. 3430 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1389(a,2),3429(a,2,2,2))]. 3431 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3430(a,1),42(a,1)),flip(a)]. 3432 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(2875(a,2),2889(a,2,2,2))]. 3433 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(2521(a,1),1098(a,1,1,2))]. 3434 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),3433(a,1,1,2))]. 3436 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1046(a,1),3434(a,1,1)),flip(a)]. 3438 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3436(a,1),3249(a,1,1))]. 3439 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(115,a,3438,a(flip),b,3218,a)]. 3440 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2536,a,3439,a),flip(a)]. 3441 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(38,a,2402,a,b,3440,a)]. 3442 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3248,a,3441,a)]. 3443 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(62,a,3194,a,b,3442,a)]. 3444 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3442(a,1),2447(a,1,1))]. 3445 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(131,a,3443,a)]. 3446 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(2932(a,1),3444(a,1,1)),flip(a)]. 3447 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1626(a,1),1580(a,1,1))]. 3448 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1659(a,1),3447(a,1,1,1))]. 3449 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(171(a,1),3448(a,1,2))]. 3450 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(473,a,3449,a),flip(a)]. 3452 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(689(a,1),3450(a,2,1,2))]. 3453 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(1060(a,1),3450(a,1,2))]. 3454 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1128(a,1),3452(a,1,2))]. 3455 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(251(a,1),3454(a,2,1,2))]. 3456 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1389(a,2),3455(a,2,1))]. 3457 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),3453(a,1,2,2)),flip(a)]. 3458 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3247(a,1),3457(a,1,1)),flip(a)]. 3459 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3244(a,1),3458(a,2,1))]. 3460 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(286,a,3379,a(flip),b,3459,a),flip(a)]. 3461 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(33,a,1389,a(flip),b,3460,a),flip(a)]. 3462 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(62,a,3392,a,b,3461,a)]. 3463 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(182,a,3462,a),flip(a)]. 3464 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(176(a,1),3462(a,1,1,1)),flip(a)]. 3465 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(62,a,3445,a,b,3463,a)]. 3466 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [hyper(175,a,3464,a),flip(a)]. 3467 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3466(a,2),2187(a,1,1))]. 3468 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(33,a,1420,a,b,3465,a)]. 3469 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(387,a,3468,a)]. 3470 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(62,a,3446,a(flip),b,3468,a)]. 3471 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3469(a,1),329(a,1))]. 3472 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(286,a,2932,a(flip),b,3470,a),flip(a)]. 3473 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3472(a,1),104(a,1,1)),flip(a)]. 3474 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3472(a,1),472(a,1,1))]. 3475 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(435,a,3473,a)]. 3476 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(266,a,3467,a),flip(a)]. 3477 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2131(a,1),3476(a,2,1))]. 3478 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(62,a,3252,a(flip),b,3477,a)]. 3479 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2835(a,1),3478(a,2,1))]. 3480 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3469(a,1),3479(a,1,1))]. 3481 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3480(a,1),43(a,1))]. 3482 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(2932(a,1),3480(a,1,1))]. 3483 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1439(a,1),3482(a,2,1,2))]. 3484 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3474,a,3483,a)]. 3485 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(34,a,2140,a,b,3484,a),flip(a)]. 3488 L(x,y,K(z,z \ 1)) = x. [para(3485(a,1),3475(a,1,3))]. 3489 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3485(a,1),3483(a,1,1)),flip(a)]. 3490 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1145,a,3488,a),flip(a)]. 3492 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(62,a,94,a(flip),b,3488,a)]. 3493 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3488(a,1),495(a,1,2))]. 3494 L(x,y,K(z,1 / z)) = x. [para(1386(a,1),3488(a,1,3))]. 3495 L(x,y,K(z \ 1,z)) = x. [para(1391(a,1),3488(a,1,3))]. 3497 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [hyper(1145,a,3494,a),flip(a)]. 3498 L(x,y,z \ 1) = L(x,y,1 / z). [hyper(3264,a,3495,a)]. 3499 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1145,a,3495,a),flip(a)]. 3500 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(62,a,2666,a(flip),b,3495,a),flip(a)]. 3501 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(62,a,2235,a(flip),b,3495,a),flip(a)]. 3502 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(62,a,94,a(flip),b,3495,a)]. 3503 L(x,y,K(z \ 1,z)) != u | x = u. [para(3495(a,1),49(a,2))]. 3504 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3495(a,1),495(a,1,2))]. 3505 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3495(a,1),2168(a,1,2))]. 3507 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3495(a,1),3264(a,1))]. 3508 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(73(a,1),3498(a,2,3))]. 3510 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2509(a,2),3503(a,1))]. 3511 L(x,T(y \ 1,z),y) = L(x,T(1 / y,z),y). [hyper(3251,a,3508,a),flip(a)]. 3513 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(62,a,2623,a,b,3501,a)]. 3514 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(3009(a,2),3507(a,1))]. 3516 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(286,a,94,a(flip),b,3511,a),flip(a)]. 3519 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(116,a,3489,a(flip),b,104,a)]. 3520 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2649(a,1),3489(a,1,1)),flip(a)]. 3522 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(471,a,3490,a)]. 3524 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2997(a,1),3490(a,1,1)),flip(a)]. 3525 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(62,a,3456,a,b,3522,a)]. 3528 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2644(a,1),3492(a,1,1)),flip(a)]. 3529 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2913(a,1),3492(a,1,1))]. 3530 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1402(a,1),3493(a,1,1)),flip(a)]. 3532 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2145,a,3530,a)]. 3534 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3499(a,1),20(a,2,1,1)),flip(a)]. 3536 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3500(a,1),3025(a,1))]. 3538 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2998(a,1),3502(a,1,1))]. 3539 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3504(a,1),110(a,1,1))]. 3540 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3481,a,3505,a)]. 3542 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3505(a,1),14(a,2,1)),flip(a)]. 3543 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3505(a,1),18(a,2,1)),flip(a)]. 3544 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3505(a,1),439(a,1,2,2))]. 3547 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3505(a,1),3031(a,1,1))]. 3548 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3471,a,3540,a)]. 3549 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3540(a,1),1049(a,1,2))]. 3553 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(372,a,3520,a),flip(a)]. 3554 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(116,a,2668,a(flip),b,3524,a(flip))]. 3556 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3525(a,1),42(a,1))]. 3557 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3538(a,1),3340(a,1,2,1)),flip(a)]. 3558 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3042(a,1),3539(a,1,1))]. 3559 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(34,a,2995,a,b,3549,a)]. 3561 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(570,a,3559,a),flip(a)]. 3562 x \ R(x,y,z) = R(x,y,z) / x. [hyper(62,a,1055,a(flip),b,3559,a),flip(a)]. 3563 (x \ R(x,y,z)) * x = R(x,y,z). [para(3559(a,1),1058(a,1,1))]. 3564 T(x,x \ R(x,y,z)) = x. [hyper(322,a,3562,a)]. 3565 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3562(a,2),486(a,1,1))]. 3566 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(717(a,1),3563(a,1,1))]. 3567 a(x,y,y \ 1) \ R(x,y,y \ 1) = x. [hyper(121,a,3566,a)]. 3568 x * R(x \ 1,y,y \ 1) != z | a(x \ 1,y,y \ 1) = z. [para(3561(a,1),720(a,1))]. 3569 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2566(a,1),3510(a,1,1,2))]. 3570 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3565(a,2),2124(a,1,1,1,1))]. 3571 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(62,a,2211,a(flip),b,3519,a),flip(a)]. 3572 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1391(a,1),3571(a,1,2)),flip(a)]. 3573 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1391(a,1),3572(a,1,3)),flip(a)]. 3574 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3499(a,1),3534(a,1,1))]. 3575 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(62,a,3504,a(flip),b,3574,a)]. 3576 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),3575(a,1,2)),flip(a)]. 3577 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(286,a,2712,a(flip),b,3576,a),flip(a)]. 3578 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2658,a,3576,a(flip))]. 3579 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1416(a,1),3578(a,1,2,1))]. 3580 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(2947(a,2),3557(a,2,2))]. 3581 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2614(a,1),3577(a,1,1)),flip(a)]. 3582 x \ R(x * y,z,u) = R(y * x,z,u) / x. [hyper(127,a,3581,a),flip(a)]. 3583 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),3581(a,1,1,2,1)),flip(a)]. 3584 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(12(a,1),3582(a,2,1,1))]. 3585 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(184,a,3583,a),flip(a)]. 3586 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(560(a,1),3583(a,2,1,2))]. 3587 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3583(a,2),1503(a,1,1))]. 3588 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2577(a,1),3583(a,2,1,2))]. 3589 R(x,y,z) \ x = x / R(x,y,z). [hyper(127,a,3585,a),flip(a)]. 3590 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(286,a,1838,a,b,3589,a)]. 3591 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(131,a,3584,a),flip(a)]. 3592 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3591(a,2),3355(a,1,1))]. 3593 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(116,a,3586,a(flip),b,458,a)]. 3594 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(62,a,3192,a(flip),b,3588,a),flip(a)]. 3595 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(116,a,3588,a(flip),b,2578,a),flip(a)]. 3596 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3588(a,1),3357(a,1,1)),flip(a)]. 3597 (x * (y \ T(y,x))) * y = y * x. [para(9(a,1),3594(a,1,1)),flip(a)]. 3598 x * (y \ T(y,x)) = (y * x) / y. [hyper(127,a,3597,a),flip(a)]. 3599 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(116,a,10,a(flip),b,3597,a),flip(a)]. 3600 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(34,a,108,a(flip),b,3597,a),flip(a)]. 3601 x \ ((y * x) / y) = y \ T(y,x). [hyper(121,a,3598,a)]. 3602 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(115,a,204,a(flip),b,3598,a)]. 3603 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(115,a,146,a(flip),b,3598,a),flip(a)]. 3604 (x \ T(x,y)) * y = (x * y) / x. [hyper(62,a,2807,a,b,3598,a)]. 3605 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(33,a,2831,a,b,3598,a)]. 3606 ((x * y) / x) / y = x \ T(x,y). [hyper(33,a,2827,a,b,3598,a)]. 3607 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3598(a,1),2286(a,1,1))]. 3608 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2857(a,1),3598(a,1,2)),flip(a)]. 3609 ((x * y) / x) \ y = T(x,y) \ x. [para(3598(a,1),3124(a,1,1))]. 3610 (T(x,y) \ x) * ((x * y) / x) = y. [para(3598(a,1),3215(a,1,2))]. 3611 T(x,T(y,x)) \ x = y \ T(y,x). [para(3600(a,1),3124(a,1,1)),flip(a)]. 3612 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(37,a,2856,a,b,3601,a(flip))]. 3613 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3601(a,1),446(a,1,1))]. 3614 x * (T(y,x) \ y) = T(x,T(y,x)). [hyper(62,a,2925,a(flip),b,3612,a)]. 3616 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3088(a,1),3612(a,1,2))]. 3617 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3612(a,1),3130(a,1))]. 3618 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3602(a,2),2859(a,1,1))]. 3619 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3604(a,1),171(a,1,2,1))]. 3620 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3554(a,2),3604(a,2,1)),flip(a)]. 3621 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3606(a,1),562(a,1,1,1))]. 3622 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(10(a,1),3609(a,1,1,1)),flip(a)]. 3623 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3609(a,1),1299(a,1,2,2,1))]. 3624 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3267,a,3610,a)]. 3625 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(286,a,1086,a,b,3611,a)]. 3626 T(x,T(y,x)) * (y \ T(y,x)) = x. [hyper(131,a,3611,a)]. 3628 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3611(a,1),2777(a,1,1))]. 3629 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3611(a,2),3597(a,1,1,2))]. 3630 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(62,a,3297,a(flip),b,3614,a),flip(a)]. 3631 L(x,y \ T(y,x),y) = x. [hyper(62,a,3208,a(flip),b,3626,a)]. 3634 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(115,a,3631,a(flip),b,2826,a),flip(a)]. 3635 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2857(a,1),3628(a,1,1))]. 3636 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(62,a,3191,a(flip),b,3616,a)]. 3637 T(x,x / (y * x)) = T(x,y \ 1). [hyper(62,a,3087,a(flip),b,3616,a)]. 3638 T(x,x / (x * y)) = T(x,y \ 1). [hyper(62,a,2895,a(flip),b,3637,a)]. 3639 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(115,a,3637,a(flip),b,1025,a)]. 3640 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2064,a,3638,a)]. 3643 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(116,a,3638,a(flip),b,2059,a)]. 3644 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3638(a,1),2061(a,2,2))]. 3645 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(109(a,1),3599(a,1,2,2))]. 3646 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3607(a,1),439(a,1,1))]. 3648 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(216,a,3629,a,b,xx)]. 3650 T(x,y) \ ((x * y) / x) = x \ y. [para(3598(a,1),3634(a,1,2))]. 3651 T(x / y,T(y,x)) = y \ x. [hyper(1198,a,3650,a)]. 3652 T(x,y) * (x \ y) = (x * y) / x. [hyper(131,a,3650,a)]. 3653 T(x,T(y,x * y)) = y \ (x * y). [para(11(a,1),3651(a,1,1))]. 3654 T(x,T(x \ y,y)) = (x \ y) \ y. [para(73(a,1),3651(a,1,1))]. 3655 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(203(a,1),3651(a,1,2))]. 3656 T(x \ y,T(x,y)) = T(x \ y,x). [para(3651(a,1),223(a,1,1)),flip(a)]. 3657 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3651(a,1),1751(a,1,1)),flip(a)]. 3658 T(x,x / (x / y)) = T(x,y). [hyper(34,a,1320,a,b,3652,a)]. 3659 (x * (x * y)) / x = T(x,x * y) * y. [para(9(a,1),3652(a,1,2)),flip(a)]. 3660 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(86(a,1),3652(a,1,2))]. 3661 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3652(a,1),439(a,1,1))]. 3662 T(x,y) * y = x * ((x * y) / x). [para(3652(a,1),946(a,1,2)),flip(a)]. 3663 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3652(a,1),2812(a,1,1,1))]. 3664 T(x,x / (1 / y)) = T(x,x * y). [hyper(62,a,1793,a(flip),b,3658,a)]. 3665 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(62,a,1012,a(flip),b,3658,a)]. 3666 (x / y) \ T(x,y) = (x * y) / x. [hyper(115,a,3658,a(flip),b,999,a)]. 3667 T(x,y \ x) = T(x,x / y). [para(73(a,1),3658(a,1,2,2)),flip(a)]. 3668 T(x,(y \ x) \ x) = T(x,y). [para(176(a,1),3658(a,1,2)),flip(a)]. 3669 T(x,T(y,x)) * T(y,x) = x * y. [para(3658(a,1),1190(a,1,1))]. 3670 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3658(a,1),1209(a,1,1))]. 3671 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1303,a,3667,a(flip)),flip(a)]. 3672 T(T(x,y \ x) / y,x) = x / y. [para(3667(a,2),1006(a,1,1,1))]. 3673 T(x,T(y,x * y)) = T(x,y). [hyper(286,a,22,a,b,3653,a),flip(a)]. 3674 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3656(a,1),108(a,1,2))]. 3676 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3656(a,2),683(a,1,2,2))]. 3677 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),3662(a,2,2,1))]. 3678 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(12(a,1),3662(a,2,2,1))]. 3679 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3664(a,1),1791(a,1,1))]. 3680 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(11(a,1),3666(a,1,1)),flip(a)]. 3681 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(115,a,3639,a,b,xx)]. 3682 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(76(a,1),3639(a,2,2,1))]. 3683 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(363(a,2),3639(a,2,2)),flip(a)]. 3684 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(73(a,1),3643(a,2,2,1))]. 3685 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(76(a,1),3643(a,1,1,2))]. 3686 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3643(a,2),195(a,2,1))]. 3688 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3645(a,1),301(a,1,2)),flip(b)]. 3689 T(T(x,x * y) * y,x) = x * y. [para(3659(a,1),203(a,1,1))]. 3691 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(115,a,3639,a,b,3677,a)]. 3693 T(x,x \ y) * y = x * (x * (y / x)). [para(3677(a,1),946(a,1,2)),flip(a)]. 3699 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(204(a,1),3613(a,2,2)),flip(a)]. 3700 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3606(a,1),3663(a,1,1))]. 3701 K(T(x,y),y) = K(x,(x * y) / x). [hyper(62,a,3613,a(flip),b,3700,a),flip(a)]. 3702 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(204(a,1),3701(a,2,2))]. 3703 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(286,a,3665,a(flip),b,3679,a),flip(a)]. 3704 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3703(a,1),935(a,1,2)),flip(a)]. 3705 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(110(a,1),3603(a,1,2))]. 3706 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(62,a,3622,a,b,3705,a)]. 3707 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1634,a,3605,a)]. 3708 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(62,a,1950,a,b,3605,a)]. 3709 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3605(a,1),1634(a,1))]. 3710 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3605(a,1),2072(a,1,1))]. 3711 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3605(a,1),2218(a,2,2,1))]. 3712 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3605(a,1),2075(a,2,2,1))]. 3713 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3605(a,1),3375(a,1,1))]. 3714 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(131,a,3707,a(flip))]. 3715 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(240(a,1),3714(a,1,2,2,1)),flip(a)]. 3716 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3625(a,1),3432(a,1,1))]. 3717 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3644(a,1),2617(a,2,1,2))]. 3718 (x / y) * (x / (x / y)) = (y \ x) * y. [para(110(a,1),3678(a,1,1)),flip(a)]. 3719 T(x \ T(x * y,y),x * y) = y. [para(3680(a,1),203(a,1,1))]. 3720 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3680(a,1),728(a,1,1))]. 3722 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3720(a,1),87(a,1,1))]. 3723 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1159,a,3682,a)]. 3724 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(115,a,3685,a,b,xx)]. 3725 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(34,a,401,a,b,3704,a)]. 3726 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3680(a,1),3725(a,1,1))]. 3727 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(76(a,1),3683(a,2,2,2))]. 3728 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1496(a,1),3608(a,2,2))]. 3729 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(33,a,823,a,b,3636,a)]. 3730 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(286,a,3707,a(flip),b,3710,a),flip(a)]. 3731 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3715(a,2),42(a,1))]. 3732 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [hyper(115,a,3723,a(flip),b,271,a),flip(a)]. 3734 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(62,a,2917,a(flip),b,3729,a),flip(a)]. 3735 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2880(a,1),3730(a,2,2,2,1))]. 3736 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(193(a,2),3734(a,1,2))]. 3737 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(116,a,3736,a(flip),b,766,a),flip(a)]. 3738 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3618(a,1),809(a,1,1))]. 3739 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3676,a,3657,a),flip(a)]. 3740 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(62,a,631,a(flip),b,3739,a),flip(a)]. 3741 K(x,T(y,y * x)) = K(x,y). [hyper(62,a,631,a(flip),b,3740,a),flip(a)]. 3743 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1736(a,1),3741(a,1,2))]. 3744 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(3671(a,1),3743(a,1,2))]. 3745 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(62,a,2932,a(flip),b,3744,a),flip(a)]. 3746 K(x,T(y,x * y)) = K(x,y). [hyper(62,a,2932,a(flip),b,3745,a),flip(a)]. 3747 K(x,T(x \ y,y)) = K(x,x \ y). [para(10(a,1),3746(a,1,2,2))]. 3748 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(286,a,3707,a(flip),b,3713,a),flip(a)]. 3749 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(62,a,1500,a(flip),b,3595,a)]. 3750 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3660(a,1),43(a,1))]. 3751 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3707(a,1),3711(a,1,1))]. 3752 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3110(a,2),3727(a,1,2))]. 3753 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3752(a,1),3334(a,1,2)),flip(a)]. 3754 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(286,a,3335,a(flip),b,3753,a)]. 3755 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(62,a,3001,a(flip),b,3728,a)]. 3756 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(62,a,3607,a(flip),b,3737,a)]. 3757 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(62,a,1765,a(flip),b,3756,a)]. 3758 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(9(a,1),3757(a,1,1,1)),flip(a)]. 3759 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(9(a,1),3758(a,1,1,1)),flip(a)]. 3760 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3554(a,2),3755(a,1,1))]. 3761 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(286,a,271,a(flip),b,3580,a)]. 3762 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(16(a,2),3738(a,2,1))]. 3763 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3514,a,3624,a)]. 3764 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3015(a,2),3763(a,2,1))]. 3765 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(62,a,3759,a(flip),b,3764,a),flip(a)]. 3766 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(266,a,3587,a),flip(a)]. 3767 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(805(a,1),3766(a,1,2))]. 3768 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(108(a,1),3767(a,1,2,2)),flip(a)]. 3769 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(286,a,3748,a,b,3735,a),flip(a)]. 3770 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3760(a,2),42(a,1))]. 3771 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3067(a,1),3769(a,2,1,2))]. 3772 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(7(a,1),3596(a,2,1,1,2))]. 3773 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(76(a,1),3772(a,2,2))]. 3774 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3609(a,1),3623(a,2,2))]. 3775 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3558(a,2),3536(a,1))]. 3776 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2635(a,1),3717(a,1,1,1))]. 3777 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3532(a,1),3776(a,1,1,1))]. 3778 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(110(a,1),3777(a,1,1))]. 3779 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3681(a,1),3778(a,2,1))]. 3780 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(34,a,2672,a(flip),b,3779,a)]. 3782 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3780(a,1),3489(a,1,1)),flip(a)]. 3783 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [hyper(62,a,2642,a(flip),b,3782,a),flip(a)]. 3784 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3782(a,1),3021(a,1,2))]. 3785 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3782(a,1),3040(a,1,1))]. 3786 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3505(a,1),3543(a,1,2))]. 3787 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(62,a,3504,a(flip),b,3547,a)]. 3788 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(865(a,1),3620(a,2,1))]. 3789 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1496(a,1),3788(a,2,1))]. 3790 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(286,a,3768,a(flip),b,3789,a),flip(a)]. 3791 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3770,a,3790,a)]. 3792 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(73(a,1),3791(a,1,1,1,2)),flip(a)]. 3793 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(62,a,3784,a(flip),b,3792,a),flip(a)]. 3794 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3625(a,1),3716(a,1,2,1,3))]. 3795 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(751,a,3786,a)]. 3796 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3503,a,3795,a),flip(a)]. 3798 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2153(a,2),3796(a,1,3))]. 3799 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2761(a,1),3798(a,1,3)),flip(a)]. 3800 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3505(a,1),3542(a,1,2,1))]. 3801 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3499(a,1),3800(a,1,2))]. 3802 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(753,a,3801,a)]. 3803 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3503,a,3802,a),flip(a)]. 3805 a(x \ 1,y,z) = a(1 / x,y,z). [para(1071(a,1),3803(a,1,1))]. 3806 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3592(a,1),266(a,1))]. 3807 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3806,a,3712,a)]. 3808 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3640(a,1),3807(a,1,1)),flip(a)]. 3809 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3067(a,1),3808(a,1,2,1,2)),flip(a)]. 3810 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3067(a,1),3809(a,1,1)),flip(a)]. 3811 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),3810(a,1,2,2)),flip(a)]. 3812 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),3811(a,1,2)),flip(a)]. 3813 L(x,y \ T(y,z),y) = x. [hyper(687,a,3812,a)]. 3815 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(127,a,3812,a)]. 3816 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(33,a,946,a,b,3812,a),flip(a)]. 3817 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(33,a,3693,a(flip),b,3812,a),flip(a)]. 3818 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(33,a,942,a(flip),b,3812,a),flip(a)]. 3820 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3602(a,2),3812(a,1,2,1))]. 3826 L(x,y,y \ T(y,z)) = x. [hyper(33,a,3105,a(flip),b,3813,a(flip))]. 3829 L(x,T(y,T(z,y)) \ y,z) = x. [para(3611(a,2),3813(a,1,2))]. 3832 L(x,y,T(z,T(y,z)) \ z) = x. [para(3611(a,2),3826(a,1,3))]. 3833 L(x,T(y,z) \ y,(y * z) / y) = x. [para(203(a,1),3829(a,1,2,1,2))]. 3834 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3832(a,1),3794(a,1,2,1))]. 3835 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(115,a,3833,a(flip),b,3774,a),flip(a)]. 3836 R(x,x \ T(x,y),z) = x. [hyper(699,a,3815,a)]. 3837 R(x,x \ (K(y,x) \ x),z) = x. [para(3630(a,1),3836(a,1,2,2))]. 3838 R(x,K(y,x) \ 1,z) = x. [para(3294(a,1),3837(a,1,2))]. 3839 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(62,a,3751,a(flip),b,3816,a),flip(a)]. 3840 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(62,a,3262,a(flip),b,3816,a),flip(a)]. 3841 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(127,a,3818,a)]. 3842 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3818(a,1),301(a,1,2)),flip(b)]. 3843 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2874,a,3841,a)]. 3844 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3841(a,1),3762(a,1,1)),flip(a)]. 3846 (x / y) \ T(x / y,z) = (y * T(y \ x,z)) / x. [hyper(62,a,3128,a(flip),b,3843,a),flip(a)]. 3847 (T(x,y) \ x) * (x * y) = y * x. [hyper(33,a,3670,a(flip),b,3820,a),flip(a)]. 3848 K(x,y) = T(T(y,x) \ y,y * x). [hyper(216,a,3847,a,b,85,a),flip(a)]. 3849 (x * y) / (y * x) = T(y,x) \ y. [hyper(127,a,3847,a)]. 3850 T(x,y / x) \ x = y / (x * (y / x)). [hyper(116,a,12,a(flip),b,3847,a),flip(a)]. 3853 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(38,a,3765,a,b,3849,a(flip))]. 3854 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(12(a,1),3849(a,1,2)),flip(a)]. 3856 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1763(a,1),3853(a,1,2))]. 3857 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(131,a,3835,a)]. 3859 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2779(a,1),3835(a,1,2))]. 3860 (x \ y) \ (y / x) = (x * (y / x)) / y. [para(110(a,1),3854(a,1,1))]. 3861 x \ ((x \ y) \ y) = (x * (y / x)) / y. [hyper(3688,a,3860,a)]. 3863 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(286,a,3708,a(flip),b,3861,a),flip(a)]. 3864 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(62,a,3621,a,b,3857,a)]. 3865 T(x / ((x * y) / x),y) = y \ (x * (T(x,y) \ x)). [hyper(286,a,3655,a,b,3859,a)]. 3866 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(10(a,1),3842(a,1,2))]. 3867 R(K(x,y),x,z) = K(x,y). [hyper(286,a,3699,a,b,3844,a),flip(a)]. 3869 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3867(a,1),104(a,1,1)),flip(a)]. 3870 L(x,y,K(y,z)) = x. [hyper(435,a,3869,a)]. 3872 L(x,y,K(y,z)) != u | u = x. [para(3870(a,1),49(a,1)),flip(a)]. 3873 L(x,y,K(y,z)) != u | x = u. [para(3870(a,1),49(a,2))]. 3877 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1113,a,3846,a(flip)),flip(a)]. 3879 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(618,a,3863,a)]. 3880 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(9(a,1),3879(a,1,2,2))]. 3881 T(x,(x / y) \ 1) = T(x,x \ y). [para(76(a,1),3879(a,1,2,2)),flip(a)]. 3882 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3879(a,1),201(a,1,2))]. 3883 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3879(a,1),240(a,1,2))]. 3885 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3879(a,1),3706(a,1,1)),flip(a)]. 3886 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3879(a,1),3691(a,1,1))]. 3887 (x / y) \ T(x,x \ y) = x * (y / x). [para(3881(a,1),3682(a,1,2))]. 3888 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(76(a,1),3882(a,1,2,2))]. 3889 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3067(a,1),3883(a,1,2))]. 3890 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(11(a,1),3887(a,2,2))]. 3891 ((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(3887(a,1),1716(a,1,1,2,1))]. 3892 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(640,a,3880,a),flip(a)]. 3893 x / T(y * x,y \ 1) = (y * x) \ x. [para(3880(a,1),240(a,1,2))]. 3894 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(62,a,3067,a(flip),b,3892,a)]. 3895 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(22(a,2),3890(a,1,2,2))]. 3896 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(132,a,3865,a)]. 3897 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [hyper(62,a,1313,a,b,3896,a)]. 3898 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(62,a,1007,a(flip),b,3897,a)]. 3899 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3898(a,1),1267(a,2,2,1,2))]. 3900 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(3007(a,1),3886(a,2,2))]. 3901 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(62,a,3603,a(flip),b,3877,a)]. 3902 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3877(a,1),3628(a,1,1)),flip(a)]. 3903 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(62,a,3885,a(flip),b,3901,a)]. 3904 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(286,a,1082,a,b,3903,a)]. 3905 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(286,a,871,a(flip),b,3903,a),flip(a)]. 3906 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3903(a,2),18(a,2,1)),flip(a)]. 3909 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3903(a,2),2846(a,2,2)),flip(a)]. 3910 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3904(a,2),2777(a,1,1))]. 3911 T(x,y) \ x = y \ T(y,x). [para(3067(a,1),3905(a,1,1))]. 3912 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(286,a,3603,a(flip),b,3911,a),flip(a)]. 3913 T(x,T(y,x)) = T(x,y). [hyper(38,a,3611,a,b,3911,a)]. 3914 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3911(a,2),2861(a,1))]. 3915 (x * y) / x = y * (T(y,x) \ y). [para(3911(a,2),3598(a,1,2)),flip(a)]. 3916 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3911(a,2),3812(a,1,2,1))]. 3917 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3911(a,2),3816(a,1,1)),flip(a)]. 3918 K(x,y) = T(x \ T(x,y),y * x). [para(3911(a,1),3848(a,2,1))]. 3919 x * (T(x,y) \ y) = T(y,x). [hyper(1014,a,3913,a)]. 3920 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(644,a,3913,a),flip(a)]. 3921 T(x,x \ y) \ y = T(x \ y,x). [hyper(642,a,3913,a)]. 3922 T(x,y) \ (x * y) = T(y,x). [hyper(641,a,3913,a)]. 3923 R(T(x,x * y),y,x) = T(x,y). [hyper(62,a,3703,a,b,3913,a)]. 3924 (x / T(y,x)) * y = T(x,y). [hyper(62,a,3665,a,b,3913,a)]. 3925 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(62,a,3856,a(flip),b,3913,a),flip(a)]. 3926 T(x,y) / y = x / T(y,x). [hyper(116,a,3913,a(flip),b,3665,a)]. 3927 T(x,y) / (T(y,x) \ x) = y. [hyper(116,a,3913,a(flip),b,969,a)]. 3928 T(x,y) \ y = x \ T(y,x). [hyper(115,a,3913,a(flip),b,969,a),flip(a)]. 3929 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),3913(a,1,2))]. 3930 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3913(a,1),25(a,1,1)),flip(a)]. 3931 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),3913(a,1,2))]. 3932 T(x,x \ y) = T(x,y / x). [para(110(a,1),3913(a,1,2))]. 3934 T(x \ y,(x \ y) \ y) = T(x \ y,x). [para(109(a,1),3913(a,1,2))]. 3935 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3913(a,1),213(a,1,2,1))]. 3936 T(x,T(x \ y,z)) = T(x,T(y / x,z)). [para(223(a,1),3913(a,1,2))]. 3937 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3913(a,1),214(a,1,2,1))]. 3938 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3913(a,1),215(a,1,2,1))]. 3939 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(596(a,1),3913(a,1,2))]. 3940 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3913(a,1),375(a,1,2,1))]. 3942 T(x * (T(x,y) \ x),y) = x. [para(3913(a,1),3648(a,1,1,2,1))]. 3943 T(x,y) * T(y,x) = x * y. [para(3913(a,1),3669(a,1,1))]. 3945 K(T(x,y),T(y,x)) = K(x,y). [para(3913(a,1),3702(a,1,1))]. 3946 (x / (y * x)) \ T(x,y) = x * y. [para(3913(a,1),3895(a,1,2))]. 3947 (x * y) / T(y,x) = T(x,y). [para(3919(a,1),949(a,1,2))]. 3948 T(x,y) = (x \ (y * x)) \ (y * x). [para(22(a,1),3922(a,1,1)),flip(a)]. 3951 T(x,y) = (x * (x * y)) / (y * x). [hyper(62,a,1212,a,b,3924,a),flip(a)]. 3952 (T(x,y) / y) * z = (x / T(y,x)) * z. [hyper(56,a,3926,a)]. 3953 (T(x,y) / y) \ x = T(y,x). [hyper(175,a,3926,a(flip))]. 3954 T(x * (y / x),x) = x * (y / T(x,y)). [para(3926(a,1),1511(a,2,2))]. 3955 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(23(a,1),3927(a,1,2,1))]. 3956 (T(x,y) \ y) * z = (x \ T(y,x)) * z. [para(3927(a,1),179(a,1,1,1)),flip(a)]. 3957 T(x,y) * (x \ T(y,x)) = y. [para(3927(a,1),180(a,1,2,1))]. 3958 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3928(a,2),86(a,1,2,1))]. 3959 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3928(a,1),82(a,1,1,2,1))]. 3960 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3928(a,2),1505(a,2,1))]. 3961 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3928(a,1),1878(a,1,2,1))]. 3962 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3928(a,1),2278(a,1,2,1))]. 3963 T(x,y / x) = (x \ y) \ y. [hyper(640,a,3932,a),flip(a)]. 3964 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(286,a,734,a,b,3932,a)]. 3965 (x / y) * T(y,y \ x) = y * (x / y). [para(3932(a,2),108(a,1,2))]. 3966 (x * (y / x)) / T(x,x \ y) = y / x. [para(3932(a,2),174(a,1,2))]. 3972 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3932(a,2),835(a,1,2,2))]. 3973 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3932(a,1),3724(a,1,2,1))]. 3974 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(3943(a,1),14(a,2,1,2)),flip(a)]. 3975 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3943(a,1),14(a,2,2,1)),flip(a)]. 3976 T(x,y) \ (x * y) != z | T(y,x) = z. [para(3943(a,1),301(a,1,2)),flip(b)]. 3978 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(3943(a,1),92(a,1,1))]. 3979 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(3943(a,1),94(a,2,1))]. 3980 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3943(a,1),104(a,1,2))]. 3981 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(27(a,2),3947(a,1,2))]. 3982 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3947(a,1),1192(a,1,1)),flip(a)]. 3984 T(L(x,y,z),u / x) = L((x \ u) \ u,y,z). [para(3963(a,1),25(a,1,1)),flip(a)]. 3987 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3963(a,1),830(a,2,2))]. 3988 T(x,x * (y / x)) = T(x,y). [hyper(735,a,3923,a),flip(a)]. 3989 T(x,y * x) = T(x,x * y). [hyper(733,a,3923,a)]. 3990 R(T(x,y),x \ y,x) = T(x,x \ y). [para(10(a,1),3923(a,1,1,2))]. 3991 T(x,(x \ y) * x) = T(x,y). [para(72(a,1),3988(a,1,2)),flip(a)]. 3992 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3988(a,1),3957(a,1,1))]. 3993 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,3989,a)]. 3994 T(T(x,y * x),z) = T(T(x,z),x * y). [para(3989(a,2),23(a,1,1))]. 3995 x * T(y,x * y) = L(y,x,y) * x. [para(3989(a,2),598(a,1,2))]. 3996 T(x,T(y,y * x)) = T(x,y). [para(3989(a,1),3673(a,1,2))]. 3997 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(3991(a,1),262(a,1,2))]. 3998 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(3991(a,1),3924(a,1,1,2))]. 3999 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(3996(a,1),376(a,1,2,1))]. 4000 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(3996(a,1),377(a,1,2,1))]. 4001 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3915(a,2),3859(a,1,2)),flip(a)]. 4002 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(286,a,3730,a(flip),b,3918,a)]. 4004 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3920(a,1),691(a,1,1))]. 4005 T(x,(1 / x) * y) = T(x,x \ y). [hyper(62,a,3015,a(flip),b,3925,a)]. 4006 ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). [para(3925(a,1),588(a,2,1))]. 4007 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3925(a,1),3761(a,2,1,2))]. 4008 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3913(a,1),3929(a,1,2)),flip(a)]. 4009 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(312,a,3946,a)]. 4010 R(1 / x,x,y) \ T(y,x) = y * x. [para(197(a,2),3946(a,1,1))]. 4011 T(x * y,T(y,x)) = T(x * y,y). [para(3948(a,2),3668(a,1,2))]. 4012 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [para(73(a,1),4005(a,1,2,1)),flip(a)]. 4013 T(x,L(y,x,y)) = T(x,y). [hyper(62,a,3996,a(flip),b,3939,a),flip(a)]. 4014 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4013(a,1),108(a,1,2))]. 4016 T(x,T(y,x)) != z | T(x,y) = z. [para(212(a,1),3976(a,1))]. 4020 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(286,a,109,a(flip),b,3990,a),flip(a)]. 4022 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(1205,a,3995,a)]. 4023 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1204,a,3995,a)]. 4024 T(L(x,y,x) * y,x) = y * x. [para(3995(a,1),1175(a,1,1))]. 4025 (L(x,y,x) * y) * x = x * (y * x). [para(3995(a,1),1174(a,1,1))]. 4026 T(x,L(x,y,x) * y) = T(x,y * x). [para(4024(a,1),3913(a,1,2)),flip(a)]. 4027 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(182,a,4010,a)]. 4028 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(131,a,4010,a),flip(a)]. 4030 L(R(x,y,x),y,x) = x. [hyper(896,a,4025,a)]. 4031 x \ T(y * x,y) = R(y,x,y). [hyper(456,a,4030,a)]. 4032 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(62,a,3726,a,b,4030,a)]. 4033 x * R(y,x,y) = T(y * x,y). [hyper(131,a,4031,a)]. 4034 R(x,y,T(x,y)) = R(x,y,x). [hyper(62,a,1011,a(flip),b,4031,a)]. 4035 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(10(a,1),4031(a,1,2,1)),flip(a)]. 4036 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4031(a,1),94(a,1,1)),flip(a)]. 4037 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3913(a,1),4034(a,1,3))]. 4038 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4033(a,1),301(a,1,2)),flip(b)]. 4039 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4033(a,1),1844(a,1,1))]. 4040 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4033(a,1),3344(a,2,1))]. 4041 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(286,a,3989,a(flip),b,4026,a),flip(a)]. 4042 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(603(a,1),4026(a,1,2))]. 4043 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(628,a,4027,a)]. 4044 (x / y) * (x * (y / x)) = T(x,y / x). [para(364(a,1),4028(a,2,1)),flip(a)]. 4045 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4041(a,1),1311(a,1,1))]. 4046 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(73(a,1),3910(a,1,1,1,2)),flip(a)]. 4047 x \ (y / (y / x)) = y / (x * (y / x)). [hyper(62,a,3850,a(flip),b,3912,a),flip(a)]. 4048 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(33,a,1017,a,b,3916,a),flip(a)]. 4049 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(286,a,3857,a,b,3917,a)]. 4050 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(3931(a,1),23(a,1,1)),flip(a)]. 4051 (T(x,y) / y) * a(x / T(y,x),z,z \ 1) = R(x / T(y,x),z,z \ 1). [hyper(286,a,716,a(flip),b,3952,a),flip(a)]. 4052 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3960(a,2),3951(a,2,2)),flip(a)]. 4053 T(x / (x / y),y \ x) = y. [hyper(681,a,3965,a)]. 4054 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(244,a,4053,a)]. 4056 T(x,y \ z) != y | z / (z / y) = x. [para(4053(a,1),48(a,1)),flip(a)]. 4057 T(x / (x / (x / y)),y) = x / y. [para(76(a,1),4053(a,1,2))]. 4058 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4053(a,1),108(a,1,2)),flip(a)]. 4060 (x * (y / x)) / x = y / (y / (y / x)). [hyper(244,a,4057,a)]. 4063 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(216,a,3987,a,b,10,a)]. 4065 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(62,a,23,a,b,3994,a)]. 4066 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3879(a,1),4009(a,1,1))]. 4068 K(x,x \ T(x * y,y)) = K(x,y). [para(4032(a,1),3747(a,1,2)),flip(a)]. 4069 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(62,a,3722,a,b,4068,a),flip(a)]. 4070 R(1 / x,x,x \ y) = R(1 / x,x,y / x). [para(110(a,1),4043(a,1,3))]. 4071 ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (x / y)). [para(3718(a,1),4044(a,1,2))]. 4072 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3617,a,4046,a),flip(a)]. 4073 T(x / (x / y),x) = L(y,y \ x,y). [para(4054(a,1),606(a,1,1))]. 4074 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4073(a,2),25(a,2,1)),flip(a)]. 4075 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(73(a,1),4073(a,1,1,2)),flip(a)]. 4076 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4073(a,2),425(a,1,2))]. 4077 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(62,a,1217,a,b,4058,a)]. 4078 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4060(a,1),792(a,1,1))]. 4079 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3296,a,4072,a)]. 4080 K(x,(x * y) / x) = K(y,x) \ 1. [para(9(a,1),4079(a,1,1,1)),flip(a)]. 4082 K(T(x,y),y) \ 1 = K(y,x). [para(204(a,1),4080(a,1,2)),flip(a)]. 4083 L(x,y,K(z,y) \ 1) = x. [para(4080(a,1),3870(a,1,3))]. 4085 L(x \ y,z,K(u,z) \ 1) != w \ y | x = w. [para(4083(a,2),47(a,1))]. 4086 K(T(x,y),y) * K(y,x) = 1. [hyper(131,a,4082,a)]. 4088 R(x,K(x,y),z) = x. [para(4082(a,1),3838(a,1,2))]. 4089 R(T(x,y),K(x,z),u) = T(x,y). [para(4088(a,1),27(a,2,1))]. 4090 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4088(a,1),469(a,1,1,1)),flip(a)]. 4093 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4086(a,1),301(a,1,2)),flip(b)]. 4094 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4089(a,1),470(a,1,1,1)),flip(a)]. 4096 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(129,a,4077,a)]. 4097 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(76(a,1),4096(a,1,1,1))]. 4098 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4033(a,1),4069(a,2,1))]. 4099 K(x \ T(x * y,x),x) = K(y,x). [hyper(286,a,1518,a(flip),b,4098,a)]. 4100 K(x \ T(y,x),x) = K(x \ y,x). [para(10(a,1),4099(a,1,1,2,1))]. 4101 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(203(a,1),4100(a,1,1,2)),flip(a)]. 4102 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4001(a,2),4101(a,1,1))]. 4103 T(x,y) * T(T(y,x),x) = y * x. [hyper(286,a,3943,a(flip),b,3935,a),flip(a)]. 4104 (x * y) / T(T(x,y),y) = T(y,x). [hyper(116,a,3943,a(flip),b,3935,a)]. 4105 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(115,a,3943,a(flip),b,3935,a)]. 4106 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(23(a,1),3935(a,1,2))]. 4107 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),4105(a,1,1))]. 4108 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3913(a,1),3955(a,1,2,1))]. 4109 T(L(x,x \ y,x),y / x) = y \ (x * y). [hyper(286,a,445,a(flip),b,3984,a),flip(a)]. 4110 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. [para(3984(a,2),3413(a,1,2))]. 4111 T(L(x,x \ y,x),y / x) = T(x,y). [hyper(286,a,22,a,b,4109,a),flip(a)]. 4112 T(L(L(x,x \ y,x),z,u),y / x) = L(T(x,y),z,u). [para(4111(a,1),25(a,1,1)),flip(a)]. 4113 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(286,a,3929,a(flip),b,4008,a),flip(a)]. 4114 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(640,a,4012,a),flip(a)]. 4115 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(4012(a,1),240(a,1,2))]. 4117 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(10(a,1),4114(a,1,2)),flip(a)]. 4118 T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y. [para(12(a,1),4114(a,1,2))]. 4119 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(286,a,3991,a(flip),b,4042,a),flip(a)]. 4120 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4119(a,1),1309(a,1,1))]. 4122 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(62,a,1296,a,b,4049,a)]. 4124 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(62,a,3954,a(flip),b,4063,a),flip(a)]. 4125 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4070(a,2),362(a,1,1))]. 4127 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4106(a,1),690(a,1,2)),flip(a)]. 4128 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [hyper(38,a,2121,a,b,4110,a(flip))]. 4129 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(4128(a,1),23(a,1,1)),flip(a)]. 4134 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4125(a,1),726(a,1,2))]. 4135 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(286,a,3635,a(flip),b,3902,a),flip(a)]. 4136 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4016,a,4135,a),flip(a)]. 4137 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4016,a,4136,a),flip(a)]. 4138 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4136(a,1),4016(a,1))]. 4139 T(x,y / (z * y)) = T(x,z \ 1). [para(9(a,1),4137(a,1,2,1))]. 4140 T(x,(y / z) \ 1) = T(x,z / y). [para(76(a,1),4137(a,1,2,1)),flip(a)]. 4144 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4140(a,1),3771(a,1,1,2))]. 4146 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(76(a,1),4138(a,1,2,1))]. 4147 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(595(a,1),3937(a,1,2))]. 4148 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(286,a,4014,a(flip),b,4147,a),flip(a)]. 4150 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3989(a,2),4148(a,1,2))]. 4151 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(62,a,604,a,b,4150,a)]. 4153 L(x,T(y,x),x) = L(x,y,x). [hyper(34,a,4014,a,b,4151,a),flip(a)]. 4155 L(x,x \ y,x) = L(x,y / x,x). [para(110(a,1),4153(a,1,2))]. 4156 (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(3938(a,1),207(a,1,1,2))]. 4157 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3923(a,1),3938(a,1,2)),flip(a)]. 4158 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3964(a,1),3938(a,1,2)),flip(a)]. 4159 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3990(a,1),3938(a,1,2)),flip(a)]. 4160 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(286,a,4100,a(flip),b,3958,a),flip(a)]. 4161 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [hyper(131,a,4160,a)]. 4163 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1514(a,1),3992(a,1,2))]. 4164 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3926(a,1),4163(a,1,2))]. 4165 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4164(a,1),42(a,1)),flip(a)]. 4166 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(34,a,1505,a(flip),b,3998,a),flip(a)]. 4167 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(129,a,4166,a)]. 4169 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3925(a,1),4002(a,1,2,2,1))]. 4170 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(131,a,4169,a),flip(a)]. 4171 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3731,a,4170,a)]. 4172 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(62,a,3754,a,b,4171,a)]. 4173 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(286,a,3314,a(flip),b,4172,a),flip(a)]. 4174 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(62,a,3332,a(flip),b,4173,a)]. 4175 K((1 / x) * y,x) = K(x \ y,x). [para(9(a,1),4174(a,1,1,2)),flip(a)]. 4176 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(22(a,2),4175(a,2,1))]. 4177 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(821(a,1),4176(a,1,1))]. 4178 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(62,a,3333,a,b,4177,a)]. 4179 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4178(a,1),4082(a,1,1))]. 4180 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4093,a,4179,a),flip(a)]. 4181 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(62,a,3186,a(flip),b,4180,a),flip(a)]. 4182 (x * (y / x)) * (y / (y / x)) = y * x. [para(76(a,1),4097(a,2,2))]. 4183 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(11(a,1),4182(a,1,1,2))]. 4184 (x * y) * ((y * x) / y) = (y * x) * x. [para(11(a,1),4183(a,1,2,2))]. 4185 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(512,a,4184,a)]. 4186 ((x \ y) * x) * x = y * (y / (y / x)). [para(4054(a,1),4185(a,1,2)),flip(a)]. 4187 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3928(a,1),4186(a,1,1,1))]. 4188 (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(1915(a,1),3981(a,1,2,1))]. 4189 T(L(L(x,x \ y,x),z,u),y / x) = T(L(x,z,u),y). [hyper(286,a,25,a(flip),b,4112,a),flip(a)]. 4190 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(286,a,4039,a(flip),b,4157,a),flip(a)]. 4191 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4190(a,1),4036(a,1,2))]. 4192 R(x,x \ y,x) = R(x,y / x,x). [hyper(34,a,4158,a,b,4159,a),flip(a)]. 4194 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(62,a,4035,a(flip),b,4192,a),flip(a)]. 4195 R(x,(x * y) / x,x) = R(x,y,x). [para(9(a,1),4192(a,1,2)),flip(a)]. 4196 R(x,T(y,x),x) = R(x,y,x). [para(204(a,1),4195(a,1,2)),flip(a)]. 4197 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(62,a,4037,a,b,4196,a)]. 4198 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4197(a,1),31(a,1,1)),flip(a)]. 4199 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(11(a,1),4194(a,1,2)),flip(a)]. 4200 T(L(L(x,y / x,x),z,u),y / x) = T(L(x,z,u),y). [para(4155(a,1),4189(a,1,1,1))]. 4201 T(L(x,y,z),x * (u / x)) = T(L(x,y,z),u). [hyper(62,a,837,a(flip),b,4200,a)]. 4202 ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. [hyper(286,a,3963,a(flip),b,4071,a),flip(a)]. 4203 ((x / y) / x) * ((y \ x) * y) = y \ x. [para(76(a,1),4202(a,2,1))]. 4204 ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. [para(76(a,1),4203(a,1,2,1))]. 4205 (x / (x / y)) / x = y / (y * (x / y)). [hyper(116,a,76,a(flip),b,4204,a),flip(a)]. 4206 L(x,K(y,z),L(y,u,w)) = x. [hyper(435,a,4090,a)]. 4207 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2942(a,1),4090(a,1,1))]. 4208 L(x,K(y,z),L(y,u,w)) != v5 | v5 = x. [para(4206(a,1),49(a,1)),flip(a)]. 4209 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4198(a,1),3980(a,1,1)),flip(a)]. 4210 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(11(a,1),4144(a,1,1,2,2))]. 4211 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(62,a,2964,a(flip),b,4210,a),flip(a)]. 4212 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4211(a,1),3619(a,1,1))]. 4213 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3646,a,4212,a)]. 4214 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(78(a,1),4212(a,1,2))]. 4217 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(109(a,1),4214(a,1,1,2))]. 4218 x \ ((x \ y) \ y) = y / ((x \ y) * x). [hyper(182,a,4217,a),flip(a)]. 4219 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(62,a,3861,a(flip),b,4218,a)]. 4220 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(204(a,1),4213(a,1,3)),flip(a)]. 4221 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(552,a,4220,a)]. 4222 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(62,a,3027,a(flip),b,4221,a)]. 4223 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3816(a,1),3839(a,2,2))]. 4224 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2756(a,1),3840(a,1,2))]. 4225 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(62,a,3188,a(flip),b,4224,a),flip(a)]. 4226 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3982(a,2),3940(a,1))]. 4227 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(286,a,3817,a(flip),b,4007,a),flip(a)]. 4228 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4167(a,1),4187(a,1,1))]. 4229 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(3997,a,4228,a),flip(a)]. 4230 T(x / (x / y),x) = x / (x / T(y,x)). [hyper(33,a,4076,a,b,4229,a)]. 4231 T(x / (x / y),x) \ x = x / T(y,x). [hyper(175,a,4230,a(flip))]. 4232 T(x / y,x) \ x = x / T(y \ x,x). [para(73(a,1),4231(a,1,1,1,2))]. 4233 L(x,x \ y,x) \ y = y / T(x,y). [para(4073(a,1),4231(a,1,1))]. 4234 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4211(a,1),3864(a,1,1))]. 4235 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3866,a,4234,a),flip(a)]. 4236 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3842,a,4234,a),flip(a)]. 4237 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(286,a,3917,a,b,4234,a),flip(a)]. 4238 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4234(a,1),3866(a,1))]. 4240 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(62,a,3917,a,b,4235,a)]. 4241 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(62,a,4048,a(flip),b,4235,a)]. 4244 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(115,a,10,a(flip),b,4236,a)]. 4245 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(62,a,3917,a,b,4236,a)]. 4246 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(115,a,4236,a(flip),b,3857,a),flip(a)]. 4248 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4236(a,1),3916(a,1,2)),flip(a)]. 4249 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(115,a,4212,a(flip),b,4237,a(flip)),flip(a)]. 4250 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4245(a,2),513(a,1))]. 4251 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [hyper(115,a,4248,a(flip),b,3978,a)]. 4253 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(929,a,4241,a),flip(a)]. 4254 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4241(a,1),877(a,1))]. 4255 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3661,a,4246,a),flip(a)]. 4256 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(286,a,950,a(flip),b,4249,a),flip(a)]. 4258 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4256(a,1),1301(a,1))]. 4259 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(439,a,4251,a),flip(a)]. 4260 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4251(a,1),439(a,1))]. 4261 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(62,a,3979,a(flip),b,4259,a)]. 4262 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(110(a,1),4259(a,1,2))]. 4263 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(688,a,4255,a),flip(a)]. 4264 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(305,a,4261,a),flip(a)]. 4265 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(110(a,1),4261(a,2,1,1))]. 4266 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4248(a,1),3975(a,1,1))]. 4267 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(655,a,4266,a),flip(a)]. 4268 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4266(a,1),655(a,1))]. 4269 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. [para(67(a,1),4006(a,1,2)),flip(a)]. 4270 R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). [para(22(a,2),4269(a,1,1,2))]. 4271 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(286,a,470,a(flip),b,4209,a),flip(a)]. 4272 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1134(a,1),4271(a,1,1))]. 4273 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(62,a,4039,a(flip),b,4272,a),flip(a)]. 4274 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4273(a,1),301(a,1,2))]. 4275 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3932(a,2),4265(a,1,2,1))]. 4276 ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). [para(3913(a,1),4270(a,1,1)),flip(a)]. 4277 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4276(a,1),2696(a,2,2))]. 4278 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3919(a,1),4052(a,1,1,2))]. 4279 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(108(a,1),4278(a,1,1))]. 4280 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4113(a,1),4108(a,1,1))]. 4281 T(x,T(y,T(x,z))) = T(x,y). [hyper(62,a,3955,a(flip),b,4280,a),flip(a)]. 4286 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(62,a,3029,a,b,4222,a),flip(a)]. 4287 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2965(a,1),4225(a,1,1)),flip(a)]. 4288 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4287(a,1),3171(a,1,2))]. 4289 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4288(a,1),290(a,1,1)),flip(a)]. 4290 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(62,a,4244,a(flip),b,3906,a)]. 4291 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4274,a,4191,a)]. 4292 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(62,a,4223,a(flip),b,4290,a)]. 4293 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4245(a,1),4292(a,1,2)),flip(a)]. 4294 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(286,a,235,a(flip),b,4293,a),flip(a)]. 4297 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(62,a,3516,a(flip),b,4294,a),flip(a)]. 4299 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4297(a,1),3339(a,2,2))]. 4300 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(62,a,1482,a(flip),b,3899,a),flip(a)]. 4301 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(108(a,1),4300(a,2,1,2))]. 4302 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3859(a,1),4301(a,1,2,1))]. 4303 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4102(a,1),4302(a,1,2)),flip(a)]. 4304 T(x,(y \ x) * y) = x. [hyper(3750,a,4303,a)]. 4305 T((x \ y) * x,y) = (x \ y) * x. [hyper(53,a,4304,a)]. 4306 T(x * (y / x),y) = x * (y / x). [para(77(a,1),4304(a,1,2))]. 4307 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4306(a,2),4219(a,1,1))]. 4308 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3734(a,1),4307(a,1,1,1)),flip(a)]. 4309 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4227(a,1),4308(a,1,2)),flip(a)]. 4310 ((x \ y) * x) / y = y / (x * (y / x)). [para(4305(a,1),4309(a,1,1))]. 4311 x \ (y / (y / x)) = ((x \ y) * x) / y. [hyper(286,a,4047,a,b,4310,a)]. 4312 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1041,a,4040,a),flip(a)]. 4313 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2160(a,1),4312(a,1,1)),flip(a)]. 4314 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(116,a,4313,a(flip),b,1035,a)]. 4316 T(x,R(x * K(y,x),z,u)) = x. [hyper(228,a,4188,a),flip(a)]. 4318 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(286,a,4289,a(flip),b,4299,a),flip(a)]. 4319 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3775,a,4318,a)]. 4321 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(286,a,145,a(flip),b,4319,a),flip(a)]. 4323 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4321(a,1),3024(a,1,2))]. 4324 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4323(a,1),3787(a,1,2)),flip(a)]. 4326 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(286,a,2650,a(flip),b,4324,a),flip(a)]. 4330 R(x,K(y \ 1,y),z) = x. [para(10(a,1),4326(a,1,3))]. 4333 R(x,y,K(z \ 1,z)) = x. [hyper(62,a,3573,a(flip),b,4330,a)]. 4334 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4330(a,1),104(a,1,1)),flip(a)]. 4335 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [para(4330(a,1),461(a,1,1)),flip(a)]. 4340 T(x,y / (z \ 1)) = T(x,y / (1 / z)). [hyper(3569,a,4333,a)]. 4341 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3510,a,4333,a),flip(a)]. 4344 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(62,a,2732,a(flip),b,4333,a),flip(a)]. 4345 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(62,a,2673,a(flip),b,4333,a),flip(a)]. 4346 R(x,y,K(z \ 1,z)) != u | x = u. [para(4333(a,1),50(a,2))]. 4347 R(x,y,K(z,1 / z)) = x. [para(76(a,1),4333(a,1,3,1))]. 4348 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4333(a,1),104(a,1,1)),flip(a)]. 4350 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4333(a,1),459(a,1,1))]. 4351 R(x,y,K(z,z \ 1)) = x. [para(1388(a,1),4333(a,1,3))]. 4352 R(x,y,K(1 / z,z)) = x. [para(1436(a,1),4333(a,1,3))]. 4353 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4347(a,1),104(a,1,1)),flip(a)]. 4357 R(x,y,z \ 1) = R(x,y,1 / z). [hyper(62,a,2729,a(flip),b,4351,a),flip(a)]. 4358 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4351(a,1),104(a,1,1)),flip(a)]. 4361 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4351(a,1),2164(a,1,1))]. 4362 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4352(a,1),104(a,1,1)),flip(a)]. 4363 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4352(a,1),494(a,1,1))]. 4364 T(x,y * K(z,z \ 1)) = T(x,y). [para(1388(a,1),4341(a,1,2,2))]. 4366 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2383(a,1),4341(a,1,2))]. 4367 T(x,y * (z \ 1)) = T(x,y * (1 / z)). [para(2567(a,1),4341(a,1,2))]. 4369 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2914(a,1),4341(a,1,2))]. 4370 T(x,(y \ 1) * z) = T(x,(1 / y) * z). [para(2995(a,1),4341(a,1,2))]. 4371 T(x,(y \ 1) \ z) = T(x,(1 / y) \ z). [para(3020(a,1),4341(a,1,2)),flip(a)]. 4373 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4344(a,1),104(a,1,1))]. 4375 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3844(a,1),4346(a,1))]. 4379 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(62,a,458,a,b,4357,a)]. 4380 R(x,y,1 / y) / (y \ 1) = x * y. [hyper(116,a,4357,a(flip),b,458,a)]. 4382 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2581(a,1),4364(a,1,2)),flip(a)]. 4383 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2748(a,1),4364(a,1,2))]. 4384 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3430(a,1),4364(a,1,2))]. 4385 T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. [hyper(116,a,27,a(flip),b,4379,a)]. 4386 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4340(a,2),4253(a,1,2,1))]. 4387 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(62,a,649,a(flip),b,4369,a),flip(a)]. 4388 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(2823(a,1),4370(a,1,2)),flip(a)]. 4389 T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). [para(3006(a,2),4370(a,2,2)),flip(a)]. 4390 K((x \ 1) * y,x \ y) = 1. [hyper(54,a,4387,a)]. 4391 T(x,y * (z * (u \ 1))) = T(x,y * (z * (1 / u))). [para(2663(a,1),4384(a,1,2,2)),flip(a)]. 4393 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(62,a,3505,a(flip),b,4334,a)]. 4394 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2646(a,1),4335(a,1,2,1)),flip(a)]. 4395 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(2995(a,1),4335(a,1,2,1))]. 4399 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2616(a,1),4345(a,2,2))]. 4400 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2476,a,4348,a)]. 4401 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2161,a,4348,a)]. 4402 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(435,a,4348,a)]. 4407 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4348(a,1),3528(a,1,1))]. 4408 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(62,a,1250,a,b,4400,a)]. 4412 L(x,y,z) != K(u \ 1,u) | K(u \ 1,u) = x. [para(4402(a,1),49(a,1)),flip(a)]. 4417 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1071(a,1),4350(a,1,2)),flip(a)]. 4419 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2153(a,2),4350(a,1,2))]. 4420 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3548(a,1),4417(a,1,2))]. 4421 T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). [para(4417(a,1),4341(a,1,2))]. 4422 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4421(a,2),240(a,1,2))]. 4423 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(62,a,2150,a,b,4353,a)]. 4424 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3431,a,4358,a)]. 4425 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(512,a,4358,a),flip(a)]. 4427 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(115,a,4424,a(flip),b,1389,a(flip))]. 4429 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(115,a,4427,a(flip),b,1400,a(flip)),flip(a)]. 4430 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(286,a,2140,a,b,4361,a),flip(a)]. 4431 R(K(x,y),x,z) != u | K(x,y) = u. [para(3844(a,2),4375(a,1))]. 4432 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2658,a,4393,a)]. 4434 x * (K(y \ 1,y) * (x \ z)) = K(y \ 1,y) * z. [hyper(300,a,4393,a),flip(a)]. 4435 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4393(a,2),18(a,2,2,2)),flip(a)]. 4440 (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(4401(a,1),448(a,1,1))]. 4442 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4393(a,1),4419(a,1,2))]. 4443 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(62,a,3497,a,b,4423,a)]. 4449 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2645(a,1),4432(a,1,2,2))]. 4450 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [hyper(115,a,2569,a(flip),b,4434,a),flip(a)]. 4456 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4449(a,1),4361(a,1,2))]. 4458 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4254,a,4386,a)]. 4459 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(131,a,4458,a),flip(a)]. 4460 x \ T(x * y,z) = T(y * x,z) / x. [para(11(a,1),4458(a,1,2,1,2))]. 4461 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(73(a,1),4458(a,1,2,1,2))]. 4463 T((x \ y) * x,z) / x = x \ T(y,z). [para(72(a,1),4458(a,1,2,1)),flip(a)]. 4468 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(110(a,1),4459(a,2,2,1))]. 4471 T(x * (y / x),K(y,z)) = x * (y / x). [para(2937(a,1),4459(a,2,2,1))]. 4472 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(3932(a,2),4459(a,2,2,1))]. 4473 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(286,a,915,a(flip),b,4460,a),flip(a)]. 4474 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(62,a,824,a,b,4460,a)]. 4475 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(129,a,4460,a(flip))]. 4476 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4460(a,2),110(a,1,1))]. 4477 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(85(a,1),4460(a,1,2,1)),flip(a)]. 4478 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4460(a,2),3749(a,1,2))]. 4479 T((x \ y) * x,z) = (x \ T(y,z)) * x. [hyper(129,a,4463,a),flip(a)]. 4480 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4463(a,1),110(a,1,1)),flip(a)]. 4484 T(K(x,y),z * (x / z)) = K(x,y). [hyper(53,a,4471,a)]. 4485 T(K(x * y,z),y * x) = K(x * y,z). [para(11(a,1),4484(a,1,2,2))]. 4490 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4475(a,1),3991(a,1,2))]. 4492 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4479(a,2),43(a,1))]. 4493 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4479(a,1),108(a,1,2))]. 4494 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4485(a,1),262(a,1,2))]. 4495 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4468(a,1),108(a,1,2)),flip(a)]. 4496 x * (y * T(y \ T(z,x),y)) = ((y \ z) * y) * x. [hyper(533,a,4493,a)]. 4497 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(110(a,1),4493(a,1,2,1,2)),flip(a)]. 4500 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(286,a,988,a(flip),b,4461,a),flip(a)]. 4501 T(x * (y / x),y \ z) = T(x * (y / x),z / y). [hyper(286,a,4459,a,b,4472,a)]. 4502 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1569(a,1),4474(a,2,1,1))]. 4503 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3806,a,4495,a),flip(a)]. 4504 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(195(a,2),4495(a,2,2,2,1))]. 4506 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(127,a,4497,a)]. 4507 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(62,a,3593,a,b,4497,a)]. 4508 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(197(a,2),4497(a,1,1,1,2))]. 4509 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(286,a,4140,a,b,4501,a)]. 4510 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4506(a,1),263(a,1,1)),flip(b)]. 4511 T(x,y \ K(z,y \ 1)) = T(x,K(z,y \ 1) / y). [para(3059(a,1),4388(a,1,2)),flip(a)]. 4514 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(131,a,4408,a)]. 4515 K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. [para(4408(a,1),1251(a,1))]. 4517 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(73(a,1),4450(a,1,2,2))]. 4519 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4517(a,1),3520(a,1,2,1))]. 4520 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(62,a,1499,a,b,4478,a)]. 4521 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2615,a,4514,a)]. 4522 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4514(a,1),2568(a,1,1))]. 4523 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(62,a,3035,a(flip),b,4519,a)]. 4524 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4523(a,1),3773(a,1,1))]. 4525 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(62,a,3793,a(flip),b,4524,a)]. 4526 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(286,a,4311,a,b,4525,a),flip(a)]. 4527 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4526(a,1),3785(a,2,2))]. 4528 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4373(a,1),43(a,1))]. 4531 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3544,a,4407,a),flip(a)]. 4532 (x \ 1) \ (R(x,y,z) \ 1) = (1 / x) \ (1 / R(x,y,z)). [hyper(62,a,3020,a(flip),b,4420,a),flip(a)]. 4533 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(62,a,3389,a(flip),b,4532,a),flip(a)]. 4535 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(18(a,2),4442(a,2,1))]. 4536 ((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(4442(a,1),2190(a,1))]. 4537 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(655,a,4456,a),flip(a)]. 4538 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4510,a,4520,a)]. 4540 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4362(a,1),4363(a,1,2))]. 4541 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(62,a,4435,a(flip),b,4535,a)]. 4542 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(286,a,2153,a,b,4541,a),flip(a)]. 4543 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2153(a,1),4541(a,1,1))]. 4546 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2650(a,1),4542(a,1,1)),flip(a)]. 4548 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2665,a,4546,a),flip(a)]. 4549 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(62,a,2711,a(flip),b,4546,a)]. 4551 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(11(a,1),4549(a,1,1,2,1,2))]. 4552 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4549(a,1),72(a,1,2,1)),flip(a)]. 4553 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(72(a,1),4549(a,1,1,2,1)),flip(a)]. 4554 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [hyper(500,a,4552,a)]. 4555 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(183,a,4553,a),flip(a)]. 4556 L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w. [para(4553(a,2),43(a,1))]. 4557 (x \ L(x,y,z)) * x = L(x,y,z). [para(160(a,1),4553(a,1,1)),flip(a)]. 4558 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4553(a,1),92(a,1,2))]. 4559 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(444(a,1),4553(a,2,1,2))]. 4560 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(445(a,1),4553(a,2,1,2))]. 4563 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(121,a,4555,a)]. 4564 x * L(y,z,u) != y | L(y,z,u) \ y = x. [para(4555(a,1),43(a,1)),flip(a)]. 4565 x \ L(x,y,z) = L(x,y,z) / x. [hyper(127,a,4557,a),flip(a)]. 4568 x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(4565(a,2),1601(a,1))]. 4569 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [hyper(115,a,4548,a,b,4425,a)]. 4570 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1782(a,1),4548(a,1,1)),flip(a)]. 4571 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(268(a,1),4558(a,1,2,1,2))]. 4572 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(115,a,4559,a(flip),b,235,a),flip(a)]. 4574 T(1 / x,L(x,y,z)) = x \ 1. [hyper(4568,a,1233,a(flip))]. 4575 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4574(a,1),3321(a,2,2))]. 4576 x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. [hyper(62,a,4538,a(flip),b,4572,a),flip(a)]. 4577 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(129,a,4576,a(flip))]. 4578 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4576(a,2),263(a,1,1)),flip(b)]. 4579 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4576(a,2),128(a,1,1))]. 4580 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(62,a,4527,a(flip),b,4560,a),flip(a)]. 4581 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(8(a,1),4580(a,1,1,2,2)),flip(a)]. 4582 x * (y \ (x / (x / y))) = (y \ x) * y. [para(64(a,1),4581(a,2,1,2))]. 4583 x \ (y / (y / x)) = K(x \ y,x). [hyper(33,a,271,a,b,4582,a),flip(a)]. 4584 x / (x / y) = y * K(y \ x,y). [hyper(131,a,4583,a),flip(a)]. 4585 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(62,a,4526,a,b,4583,a)]. 4587 ((x \ y) * x) / y = K(x \ y,x). [hyper(62,a,4311,a(flip),b,4583,a)]. 4591 (x * K(x \ y,x)) * (y / x) = y. [hyper(129,a,4584,a)]. 4593 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4584(a,1),3718(a,1,2))]. 4594 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4584(a,1),4073(a,1,1))]. 4595 K(x \ y,x) * y = (x \ y) * x. [hyper(129,a,4587,a)]. 4596 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(62,a,4524,a,b,4587,a)]. 4598 T(x,K(y \ x,y)) = x. [hyper(416,a,4595,a)]. 4600 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4595(a,1),1764(a,2,2))]. 4601 T(x * y,K(y,x)) = x * y. [para(9(a,1),4598(a,1,2,1))]. 4602 K(x,y) = (x * y) / (y * x). [para(4601(a,1),277(a,1,2)),flip(a)]. 4603 K(x,y) = T(y,x) \ y. [hyper(286,a,3849,a(flip),b,4602,a),flip(a)]. 4604 x / (y * (x / y)) = K(x / y,y). [hyper(286,a,146,a(flip),b,4602,a)]. 4605 K(x,y) * (y * x) = x * y. [hyper(129,a,4602,a(flip))]. 4606 x / ((y \ x) * y) = K(y,y \ x). [para(10(a,1),4602(a,2,1)),flip(a)]. 4607 (1 / (x * y)) / ((1 / x) * (1 / y)) = K(1 / y,1 / x). [para(32(a,1),4602(a,2,1)),flip(a)]. 4608 K(x,x \ y) * ((x \ y) * x) = y. [para(4602(a,2),78(a,1,1))]. 4609 K(x,y / x) * y = x * (y / x). [para(4602(a,2),324(a,1,1))]. 4610 K(x,y) = ((y * x) / y) \ x. [hyper(286,a,3609,a,b,4603,a),flip(a)]. 4611 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(286,a,2906,a,b,4603,a)]. 4612 K(x,y) = (1 / T(y,x)) * y. [hyper(286,a,2772,a,b,4603,a),flip(a)]. 4613 K(x,y) = y * (T(y,x) \ 1). [hyper(286,a,952,a,b,4603,a),flip(a)]. 4614 K(x,y) = x \ T(x,y). [hyper(286,a,3911,a(flip),b,4603,a),flip(a)]. 4615 x * T(x \ 1,y) = K(x \ 1,y). [hyper(286,a,3903,a(flip),b,4603,a)]. 4617 K(x,y) = y / T(y,x). [hyper(286,a,2773,a(flip),b,4603,a),flip(a)]. 4618 K(x,y) / y = 1 / T(y,x). [hyper(116,a,4603,a,b,2772,a)]. 4619 T(x,y) \ 1 = x \ K(y,x). [hyper(115,a,4603,a,b,952,a),flip(a)]. 4620 T(x,y) = x / K(y,x). [hyper(182,a,4603,a(flip)),flip(a)]. 4621 T(x,y) * K(y,x) = x. [hyper(131,a,4603,a(flip))]. 4622 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),4603(a,2,1)),flip(a)]. 4623 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),4603(a,2,1)),flip(a)]. 4627 ((x \ y) \ y) * K(x \ y,x) = x. [para(4603(a,2),326(a,1,2))]. 4628 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4603(a,2),2483(a,1,2))]. 4629 T(x,y) = K(y,x) \ x. [para(4603(a,2),2777(a,1,1)),flip(a)]. 4630 K(x,y) * T(y,x) = y. [para(4603(a,2),2778(a,1,1))]. 4631 K(x,y) != z | y / T(y,x) = z. [para(4603(a,2),2776(a,1))]. 4632 K(x,y) * ((y * x) / y) = x. [para(4603(a,2),3610(a,1,1))]. 4633 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4603(a,2),3857(a,2,1))]. 4634 K(x,y) = T(y,T(x,y)) \ y. [para(3913(a,2),4603(a,2,1))]. 4635 T(x * K(y,x),y) = x. [para(4603(a,2),3942(a,1,1,2))]. 4636 (x * y) / x = y * K(x,y). [para(4603(a,2),3915(a,2,2))]. 4638 x * (K(x,y) * z) = T(x,y) * z. [para(4603(a,2),3916(a,1,2,1))]. 4639 T(x,y) * (x \ z) = K(x,y) * z. [para(4603(a,2),3917(a,2,1))]. 4640 K(x / y,z) * x = y * T(y \ x,z). [para(4603(a,2),4048(a,1,1))]. 4641 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4603(a,2),3914(a,1))]. 4642 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4603(a,2),3909(a,1,2)),flip(a)]. 4643 x * (T(x,y) \ z) = K(y,x) * z. [para(4603(a,2),4235(a,1,1)),flip(a)]. 4644 K(x,y) * (T(y,x) * z) = y * z. [para(4603(a,2),4236(a,1,1))]. 4645 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4603(a,2),4238(a,1,1))]. 4646 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(286,a,3607,a,b,4614,a),flip(a)]. 4647 K(x,y) = ((x * y) / x) / y. [hyper(286,a,3606,a,b,4614,a),flip(a)]. 4648 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(286,a,3605,a,b,4614,a)]. 4649 K(x,y) = y \ ((x * y) / x). [hyper(286,a,3601,a,b,4614,a),flip(a)]. 4650 K(x,y) = T(x,y) * (x \ 1). [hyper(286,a,873,a,b,4614,a),flip(a)]. 4651 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(286,a,3846,a(flip),b,4614,a)]. 4652 K(x,y) = T(x,y) / x. [hyper(286,a,2851,a(flip),b,4614,a),flip(a)]. 4654 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(115,a,4614,a,b,3607,a)]. 4655 T(x,y) \ K(x,y) = x \ 1. [hyper(115,a,4614,a,b,873,a)]. 4657 x \ T(x,y \ 1) = K(x,1 / y). [hyper(62,a,3318,a(flip),b,4614,a),flip(a)]. 4658 K(x,y) = (1 / x) * T(x,y). [hyper(2862,a,4614,a(flip)),flip(a)]. 4659 T(x,y) = x * K(x,y). [hyper(131,a,4614,a(flip)),flip(a)]. 4660 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),4614(a,2,2)),flip(a)]. 4661 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),4614(a,2,2)),flip(a)]. 4662 K(x,y) != x \ z | T(x,y) = z. [para(4614(a,2),46(a,1))]. 4663 x * K(x,y) != z | T(x,y) = z. [para(4614(a,2),232(a,1,2)),flip(b)]. 4664 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4614(a,2),374(a,1,2))]. 4666 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1736(a,1),4614(a,2,2))]. 4667 T(x,y) = K(x,y) * x. [para(4614(a,2),2852(a,1,1)),flip(a)]. 4668 K(x,y) * x != z | T(x,y) = z. [para(4614(a,2),2858(a,1,1))]. 4669 (x * K(y,x)) * y = y * x. [para(4614(a,2),3597(a,1,1,2))]. 4670 T(x,y) * K(y,T(x,y)) = x. [para(4614(a,2),3600(a,1,2))]. 4671 (x * y) / x = K(x,y) * y. [para(4614(a,2),3604(a,1,1)),flip(a)]. 4672 (x \ y) * K(x,x \ y) = y / x. [para(4614(a,2),3599(a,1,2))]. 4674 K(x,x \ y) * y = x * (y / x). [para(4614(a,2),3817(a,1,1))]. 4675 K(x,y) * (x * z) = T(x,y) * z. [para(4614(a,2),3818(a,1,1))]. 4677 K(x,y) != y / z | T(y,x) = z. [para(4617(a,2),44(a,1))]. 4678 K(x,y) \ y != z | T(y,x) = z. [para(4617(a,2),303(a,1,1)),flip(b)]. 4679 K(x \ y,x) * ((x \ y) \ y) = x. [para(4617(a,2),328(a,1,1))]. 4680 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4617(a,2),2208(a,1,2))]. 4681 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4617(a,2),4127(a,2,1))]. 4684 T(x,y) \ x != z | K(y,x) = z. [para(4620(a,2),303(a,1,1)),flip(b)]. 4686 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4620(a,2),1481(a,1,1)),flip(a)]. 4687 T(x,y) != z | K(y,x) \ x = z. [para(4620(a,2),2963(a,1))]. 4688 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3319(a,1),4620(a,2,2)),flip(a)]. 4689 (x \ y) * K(x,y / x) = y / x. [para(110(a,1),4621(a,1,1))]. 4691 ((x \ y) \ y) * K(y / x,x) = x. [para(3963(a,1),4621(a,1,1))]. 4692 x * (y * K(x,y)) = T(x,y) * y. [para(4621(a,1),4248(a,1,2)),flip(a)]. 4694 T(x,y) = 1 / (x \ K(y,x)). [hyper(286,a,3338,a,b,4629,a),flip(a)]. 4695 T(x,y) = (K(y,x) / x) \ 1. [hyper(286,a,3312,a,b,4629,a),flip(a)]. 4696 T(x,y) != z \ x | K(y,x) = z. [para(4629(a,2),47(a,1))]. 4697 x / T(x,y) != z | K(y,x) = z. [para(4629(a,2),258(a,1,2))]. 4698 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4629(a,2),2478(a,1,2,1))]. 4699 K(x,y / x) * (x \ y) = y / x. [para(110(a,1),4630(a,1,2))]. 4700 x \ T(x * y,y) = y * K(x * y,y). [hyper(39,a,3719,a,b,4635,a)]. 4701 x / (x / y) = y * K(x / y,y). [hyper(39,a,222,a,b,4635,a)]. 4702 T(T(x * K(y,x),z),y) = T(x,z). [para(4635(a,1),23(a,1,1)),flip(a)]. 4703 T(x,y) != z | z * K(y,z) = x. [para(4635(a,1),48(a,1)),flip(a)]. 4704 (x * K(y,x)) \ (y * x) = y. [para(4635(a,1),205(a,1,2,2))]. 4706 (x * y) / x != z | y * K(x,y) = z. [para(4635(a,1),257(a,1,1,2)),flip(b)]. 4707 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4635(a,1),214(a,1,2,1)),flip(a)]. 4708 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4635(a,1),408(a,2,1,2))]. 4709 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4635(a,1),2126(a,2,2,2))]. 4710 T(K(x,y) * y,x) = y. [para(2787(a,2),4635(a,1,1))]. 4711 T(x \ K(y,x \ 1),y) = x \ 1. [para(2823(a,1),4635(a,1,1))]. 4712 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4635(a,1),3071(a,1,2)),flip(a)]. 4713 T(x,y * K(x,y)) = T(x,y). [para(4635(a,1),3913(a,1,2)),flip(a)]. 4714 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4635(a,1),3931(a,1,2,1)),flip(a)]. 4715 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(4635(a,1),4493(a,1,2,1,2)),flip(a)]. 4720 T(x,(y / z) \ 1) = x * K(x,z / y). [hyper(4146,a,4659,a)]. 4721 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(62,a,4281,a,b,4659,a)]. 4724 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [hyper(62,a,23,a,b,4659,a),flip(a)]. 4725 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(62,a,4367,a(flip),b,4659,a),flip(a)]. 4726 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4659(a,2),20(a,2,2)),flip(a)]. 4727 T(x,y) != x * z | K(x,y) = z. [para(4659(a,2),42(a,1))]. 4728 x \ T(x,y) != z | K(x,y) = z. [para(4659(a,2),301(a,1,2)),flip(b)]. 4730 T(x,y) != T(z,y) * K(T(z,y),u) | T(z,u) = x. [para(4659(a,1),136(a,1)),flip(a)]. 4732 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4659(a,2),435(a,2,2))]. 4733 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4659(a,2),471(a,2,2))]. 4735 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [para(4659(a,2),1652(a,1,1))]. 4736 (x * K(x,y)) \ x = K(y,x). [para(4659(a,1),4603(a,2,1)),flip(a)]. 4738 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(62,a,25,a,b,4667,a),flip(a)]. 4740 x * (K(y,x) * y) = y * x. [para(4667(a,1),108(a,1,2))]. 4743 T(x,y) != K(T(z,y),u) * T(z,y) | T(z,u) = x. [para(4667(a,1),136(a,1)),flip(a)]. 4745 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4667(a,2),210(a,1,1))]. 4746 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4667(a,2),439(a,1,2,2))]. 4747 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4667(a,2),748(a,1,2))]. 4748 (K(R(x,y,y \ 1),z) * x) \ T(R(x,y,y \ 1),z) = L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)). [para(4667(a,2),718(a,1,2))]. 4749 T(x,y) != z | x * K(x,y) = z. [para(4667(a,2),2940(a,1))]. 4750 K(x,x \ y) * (x \ y) = y / x. [hyper(39,a,110,a,b,4710,a),flip(a)]. 4751 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(92(a,1),4605(a,1,2))]. 4752 L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). [para(4605(a,1),94(a,2,2))]. 4753 K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. [para(4605(a,1),435(a,1,1)),flip(a)]. 4754 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4605(a,1),430(a,1,1))]. 4755 (x * y) \ T(y * x,z) = T(y * x,z) / (x * y). [para(4605(a,1),4477(a,1,1,1)),flip(a)]. 4756 K(x,y) = x / ((y * x) / y). [hyper(286,a,2890,a(flip),b,4610,a),flip(a)]. 4757 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(115,a,4610,a,b,1297,a),flip(a)]. 4758 K(x,y) / x = 1 / ((y * x) / y). [para(4610(a,2),2893(a,1,1))]. 4760 K(x,y) / y != z | 1 / T(y,x) = z. [para(4612(a,2),227(a,1,1)),flip(b)]. 4761 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4613(a,2),18(a,2,2,2)),flip(a)]. 4762 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4613(a,2),93(a,1,2,2)),flip(a)]. 4764 x * (T(x,y) \ 1) != z | K(y,x) = z. [para(4619(a,2),232(a,1,2)),flip(b)]. 4765 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4619(a,1),258(a,1,2))]. 4766 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(109(a,1),4619(a,1,1))]. 4767 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4619(a,1),1938(a,1,2,1))]. 4768 K(x \ y,x) * (y / x) = x \ y. [para(10(a,1),4632(a,1,2,1))]. 4770 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(81(a,1),4632(a,1,2,1))]. 4772 K(T(x,y),y) = K(x,y). [hyper(286,a,4603,a,b,4634,a)]. 4773 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(4634(a,2),3834(a,1,1))]. 4774 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4634(a,2),3915(a,2,2))]. 4775 K(x,T(y,x)) = K(x,y). [hyper(62,a,3702,a(flip),b,4772,a),flip(a)]. 4776 K(x \ (y * x),x) = K(y,x). [para(22(a,1),4772(a,1,1))]. 4777 K(x \ y,x) = K(y / x,x). [para(110(a,1),4772(a,1,1))]. 4778 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(109(a,1),4772(a,1,1))]. 4779 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(729(a,1),4772(a,1,1)),flip(a)]. 4780 K(x / (x / y),y \ x) = K(y,y \ x). [para(4053(a,1),4772(a,1,1)),flip(a)]. 4781 K(x,y) \ 1 = K(y,x). [para(4772(a,1),4082(a,1,1))]. 4782 K(x,y) * K(y,x) = 1. [para(4772(a,1),4086(a,1,1))]. 4783 K(x,y) \ 1 != z | K(y,x) = z. [para(4772(a,1),4093(a,1,1))]. 4784 K(x * K(y,x),y) = K(x,y). [para(4635(a,1),4772(a,1,1)),flip(a)]. 4785 K(x \ y,(x \ y) \ y) = K(x \ y,x). [hyper(1724,a,4775,a)]. 4786 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),4775(a,1,2))]. 4787 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),4775(a,1,2))]. 4788 K(x,x \ y) = K(x,y / x). [para(110(a,1),4775(a,1,2))]. 4789 K(x,T(x \ y,z)) = K(x,T(y / x,z)). [para(223(a,1),4775(a,1,2))]. 4790 K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). [para(225(a,1),4775(a,1,2))]. 4791 K(x,y) \ T(y,x) = T(T(y,x),x). [para(4775(a,1),4629(a,2,1)),flip(a)]. 4792 K(x,y * K(x,y)) = K(x,y). [para(4635(a,1),4775(a,1,2)),flip(a)]. 4794 1 / K(x,y) = K(y,x). [hyper(182,a,4781,a)]. 4795 K(x,y) != z \ 1 | K(y,x) = z. [para(4781(a,1),47(a,1))]. 4796 x * (K(y,z) * K(z,y)) = x. [para(4781(a,1),68(a,1,2,2))]. 4797 1 / K(x,y) != z | K(y,x) = z. [para(4781(a,1),258(a,1,2))]. 4798 x * (K(y,z) * K(z,y)) != u | x = u. [para(4781(a,1),188(a,1,2,2))]. 4799 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(4781(a,1),268(a,1,1,2))]. 4801 (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(4781(a,1),1776(a,1,1,2,2,1)),flip(a)]. 4802 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(4781(a,1),1993(a,2,1,2,1))]. 4804 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4781(a,1),3286(a,2,2))]. 4805 K(x,T(y,x)) != z | K(x,y) = z. [para(4781(a,1),4093(a,1))]. 4807 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(4794(a,1),32(a,1,2)),flip(a)]. 4808 K(x,y) != 1 / z | K(y,x) = z. [para(4794(a,1),44(a,1))]. 4809 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4226,a,4636,a),flip(a)]. 4810 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(115,a,4636,a,b,947,a)]. 4811 x \ ((y * z) / y) = x \ (z * K(y,z)). [hyper(115,a,4636,a,b,10,a)]. 4812 ((x * y) / x) * z = (y * K(x,y)) * z. [hyper(56,a,4636,a)]. 4813 x / y != z * K(y,z) | y * z = x. [para(4636(a,1),45(a,1)),flip(a)]. 4814 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4636(a,1),257(a,1))]. 4815 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(104(a,1),4636(a,1,1))]. 4816 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4636(a,1),105(a,1,1))]. 4817 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4636(a,2),460(a,1,2))]. 4818 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4636(a,1),408(a,1,1))]. 4819 T(x * K(y * x,x),y) = R(x,y,x). [para(4636(a,1),706(a,2,1)),flip(a)]. 4820 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4636(a,1),761(a,1,1))]. 4821 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4636(a,1),767(a,1,1))]. 4822 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4636(a,1),839(a,1,1,1))]. 4823 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4636(a,1),762(a,1,1))]. 4824 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1662(a,1),4636(a,1,1))]. 4825 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4636(a,1),1674(a,2,1)),flip(a)]. 4826 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1836(a,1),4636(a,1,1))]. 4827 K(x,y) = (1 / y) * ((x * y) / x). [para(4636(a,2),2821(a,1,2)),flip(a)]. 4830 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(859(a,1),4647(a,2,1)),flip(a)]. 4831 x * K(y,x) != z | (y * x) / y = z. [para(4649(a,2),232(a,1,2)),flip(b)]. 4833 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4649(a,2),1583(a,1,2)),flip(a)]. 4834 K(1 / x,y) / x = T(1 / x,y). [hyper(327,a,4650,a(flip))]. 4835 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4650(a,2),439(a,1,2,2))]. 4836 T(x,y * x) * (x \ 1) = K(x,x * y). [para(3989(a,2),4650(a,2,1)),flip(a)]. 4837 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4655(a,1),232(a,1,2)),flip(b)]. 4838 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(34,a,1843,a,b,4669,a),flip(a)]. 4839 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(4669(a,1),14(a,2,1,2)),flip(a)]. 4840 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4669(a,1),473(a,1,1,1))]. 4841 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(2823(a,1),4669(a,1,1))]. 4842 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4669(a,1),3946(a,1,1,2))]. 4845 x / (y / (y / x)) = K(x,x \ y). [para(4054(a,1),4756(a,2,2)),flip(a)]. 4854 x \ (y * (x / y)) = K(y,y \ x). [hyper(286,a,88,a,b,4788,a)]. 4856 x * K(y,y \ x) = y * (x / y). [para(4788(a,2),272(a,1,2))]. 4859 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(25(a,2),4684(a,1,1))]. 4860 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(27(a,2),4684(a,1,1))]. 4861 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3903(a,1),4684(a,1))]. 4862 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),4728(a,1,2))]. 4863 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(595(a,2),4728(a,1,2))]. 4871 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),4805(a,1,2))]. 4872 K(x,T(T(y,x),z)) != u | K(x,T(y,z)) = u. [para(23(a,1),4805(a,1,2))]. 4875 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1307(a,1),4805(a,1,2))]. 4876 K(1 / x,x) = 1. [hyper(267,a,4604,a),flip(a)]. 4877 K(x,x \ 1) = 1. [hyper(1454,a,4876,a)]. 4878 K(x \ 1,x) = 1. [hyper(62,a,4777,a,b,4876,a)]. 4880 K(x,x \ 1) = K(y,y \ 1). [hyper(286,a,4877,a,b,4877,a)]. 4883 T(x,x \ 1) = x. [hyper(55,a,4877,a)]. 4884 1 / (1 / x) = x. [hyper(116,a,4877,a(flip),b,1389,a(flip))]. 4885 x \ 1 = 1 / x. [hyper(115,a,4877,a(flip),b,1389,a(flip))]. 4888 (x \ 1) * x = 1. [hyper(387,a,4878,a)]. 4889 K(x \ 1,x) = K(y \ 1,y). [hyper(286,a,4878,a,b,4878,a)]. 4892 T(x \ 1,x) = x \ 1. [hyper(55,a,4878,a)]. 4893 (x \ 1) \ 1 = x. [hyper(115,a,4878,a(flip),b,236,a(flip))]. 4894 ((x \ 1) \ 1) * 1 = x. [para(4878(a,1),1356(a,1,2))]. 4897 T(x,L(x,y,z) \ 1) = x. [hyper(139,a,4883,a)]. 4898 1 / x != y | x \ 1 = y. [para(4883(a,1),285(a,1,2))]. 4899 T((x * y) \ z,(y \ (x \ z)) \ 1) = L(y \ (x \ z),y,x). [para(4883(a,1),505(a,1,1)),flip(a)]. 4900 R(x \ 1,x,y) = y / (x * y). [para(4883(a,1),3090(a,1,2,1)),flip(a)]. 4901 x \ K(y,x) = K(y,x) / x. [para(4883(a,1),3164(a,1,2)),flip(a)]. 4902 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [para(4883(a,1),4521(a,1,2))]. 4903 x \ 1 != y | 1 / x = y. [para(4884(a,1),303(a,1,1)),flip(b)]. 4904 T(x \ y,y \ x) = x \ y. [para(4884(a,1),2370(a,1,1))]. 4905 T(x,y) \ 1 = K(y,x) / x. [hyper(286,a,4618,a,b,4885,a),flip(a)]. 4906 x \ 1 != y | y \ 1 = x. [para(4885(a,2),175(a,1))]. 4907 (x \ 1) \ 1 != y | x = y. [para(4885(a,2),258(a,1))]. 4908 R(x \ 1,x,y) \ y = x * y. [para(4885(a,2),362(a,1,1,1))]. 4909 T(x \ 1,x) != y | x \ 1 = y. [para(4885(a,2),638(a,1,1))]. 4910 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(4885(a,2),583(a,1,1,1))]. 4911 (((x * y) \ 1) * z) / ((1 / x) * z) = R(1 / y,1 / x,z). [para(4885(a,2),113(a,1,1,1))]. 4912 (x * (y \ 1)) * y = R(x,y \ 1,y). [para(4885(a,2),2578(a,1,1,2))]. 4913 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(4885(a,2),3000(a,1,1))]. 4914 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(4885(a,2),3006(a,2,1))]. 4915 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(4885(a,2),3007(a,1,1))]. 4916 (x \ 1) * R(x,y,z) = x \ R(x,y,z). [para(4885(a,2),3559(a,1,1))]. 4917 K(x,y) = (x \ 1) * T(x,y). [para(4885(a,2),4658(a,2,1))]. 4919 K(x,x \ 1) / y = y \ 1. [para(4877(a,2),4885(a,2,1)),flip(a)]. 4923 x \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [para(4893(a,2),393(a,2,1))]. 4924 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 != u | a(x,y,z) = u. [para(4893(a,2),655(a,1))]. 4925 ((x \ 1) \ 1) * K(y \ 1,y) = x. [para(4878(a,2),4894(a,1,2))]. 4930 (L(x,y,z) \ 1) * x = x * (L(x,y,z) \ 1). [para(4897(a,1),108(a,1,2))]. 4931 K(x,y) != z | K(y,x) \ 1 = z. [para(4794(a,1),4898(a,1))]. 4934 K(x,x \ 1) = K(y,1 / y). [hyper(1395,a,4880,a),flip(a)]. 4935 K(x,x \ 1) = y * (1 / y). [hyper(1392,a,4880,a),flip(a)]. 4977 (1 / (1 / x)) * K(y,y \ 1) = x. [para(4880(a,1),1397(a,1,2))]. 4978 K(x,x \ 1) * y = (y \ 1) \ 1. [para(4880(a,1),1402(a,1,1))]. 5120 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [para(4880(a,1),2646(a,1,1,1))]. 5122 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [para(4880(a,1),2650(a,1,2,2))]. 5170 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [para(4880(a,1),2997(a,1,1))]. 5181 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(4880(a,1),2918(a,1,2))]. 5198 K(K(x,x \ 1) * y,z) = K(y,z). [para(4880(a,1),3316(a,1,1,1))]. 5262 K(L(x,y,z) \ 1,x) = K(u \ 1,u). [hyper(4515,a,4889,a)]. 5270 K(x \ 1,T(x,y)) = K(z \ 1,z). [hyper(286,a,2909,a,b,4889,a)]. 5303 K(x \ 1,x) * ((y \ 1) \ 1) = y. [para(4889(a,1),834(a,1,1))]. 5316 K(x \ 1,x) * (1 / y) = y \ 1. [para(4889(a,1),1416(a,1,1))]. 5317 x * K(y \ 1,y) = 1 / (1 / x). [para(4889(a,1),1420(a,1,2))]. 5525 ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. [para(4889(a,1),2839(a,1,2,1))]. 5528 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [para(4889(a,1),2899(a,1,1))]. 5535 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [para(4889(a,1),2998(a,1,1))]. 5544 K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z. [para(4889(a,1),3049(a,1,1))]. 5565 K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * T(z,u). [para(4889(a,1),3179(a,1,1))]. 5645 K(x \ 1,x) * (((y \ 1) * z) \ u) = ((1 / y) * z) \ u. [para(4889(a,1),4395(a,1,1))]. 5662 K(x,y) \ ((x \ 1) * (T(x,y) * z)) = L(z,T(x,y),x \ 1). [para(4917(a,2),18(a,2,1)),flip(a)]. 5671 K(x,1 / x) * (y \ 1) = 1 / y. [para(4934(a,1),1693(a,1,1))]. 5673 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(3556,a,4935,a)]. 5694 R(K(x,x \ R(y,z,u)),(x \ R(y,z,u)) * x,z * u) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [para(4606(a,1),486(a,1,1))]. 5695 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4171(a,1),4609(a,1,1))]. 5696 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2449,a,4615,a)]. 5697 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(815,a,4615,a)]. 5698 T(1 / x,y) * x = K(x \ 1,y). [hyper(407,a,4615,a)]. 5699 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(62,a,2430,a(flip),b,4615,a)]. 5700 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4615(a,1),678(a,2,2))]. 5702 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4615(a,1),827(a,2,2))]. 5703 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4615(a,1),1099(a,1,1))]. 5704 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4615(a,1),1257(a,1,2)),flip(a)]. 5705 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4615(a,1),1281(a,1,1))]. 5706 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4615(a,1),1334(a,2,1))]. 5707 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4615(a,1),1339(a,2,1))]. 5709 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4615(a,1),2240(a,2,1,2))]. 5710 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(4615(a,1),2241(a,2,1,2))]. 5712 T(x \ 1,y) \ 1 = x * K(y,x \ 1). [para(4893(a,1),4628(a,1,1)),flip(a)]. 5713 x \ (T(x,y) * z) = K(x,y) * z. [hyper(121,a,4638,a)]. 5714 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(115,a,108,a(flip),b,4638,a),flip(a)]. 5715 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(115,a,10,a(flip),b,4638,a),flip(a)]. 5716 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(33,a,4049,a,b,4638,a)]. 5717 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(33,a,945,a,b,4638,a),flip(a)]. 5718 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(33,a,4150,a(flip),b,4638,a),flip(a)]. 5719 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(33,a,4148,a(flip),b,4638,a),flip(a)]. 5720 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(33,a,4039,a(flip),b,4638,a),flip(a)]. 5721 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4638(a,1),14(a,2,2,1)),flip(a)]. 5724 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4638(a,1),301(a,1,2)),flip(b)]. 5725 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2093(a,1),4638(a,1,2))]. 5726 x * (T(y,z) * K(x,y)) = T(x,y) * T(y,z). [para(2794(a,2),4638(a,1,2))]. 5727 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4250,a,4639,a)]. 5728 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(979,a,4639,a)]. 5729 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(841,a,4639,a)]. 5730 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(286,a,2943,a,b,4639,a),flip(a)]. 5732 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(115,a,10,a(flip),b,4639,a),flip(a)]. 5733 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(62,a,4638,a,b,4639,a)]. 5734 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(62,a,4122,a,b,4639,a)]. 5735 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(115,a,4639,a(flip),b,4638,a)]. 5736 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(115,a,4639,a(flip),b,4240,a(flip))]. 5738 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4614(a,2),4639(a,1,2)),flip(a)]. 5739 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4258,a,4643,a)]. 5740 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1016,a,4643,a)]. 5741 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(978,a,4643,a),flip(a)]. 5742 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(116,a,4386,a(flip),b,4643,a(flip)),flip(a)]. 5744 x \ (K(y,x) * z) != u | T(x,y) \ z = u. [para(4643(a,1),301(a,1,2)),flip(b)]. 5745 T(x,y) * (K(y,x) * z) = x * z. [para(4643(a,1),947(a,1,2))]. 5746 (x * y) / (K(z,x) * y) = T(x,z). [para(4643(a,1),949(a,1,2))]. 5747 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4643(a,1),978(a,1))]. 5748 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4614(a,2),4643(a,1,2)),flip(a)]. 5750 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4644(a,1),301(a,1,2)),flip(b)]. 5751 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4644(a,1),430(a,1,1)),flip(a)]. 5752 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1195(a,1),4646(a,2,1)),flip(a)]. 5754 K(x,(x / y) / x) = K(x,1 / y). [hyper(3709,a,4657,a)]. 5756 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(115,a,4657,a(flip),b,3605,a)]. 5757 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4657(a,1),4728(a,1))]. 5758 T(x \ y,R(y / x,z,u)) = x \ y. [para(4672(a,1),4316(a,1,2,1))]. 5759 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(116,a,4459,a,b,4674,a)]. 5761 (x * y) \ (T(x,z) * y) = T(K(x,z),x * y). [hyper(216,a,4675,a,b,10,a),flip(a)]. 5762 K(T(x,y),z) * (T(x,y) * u) = T(T(x,z),y) * u. [para(23(a,1),4675(a,2,1))]. 5763 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(27(a,2),4675(a,2,1))]. 5765 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4675(a,1),300(a,1))]. 5766 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(214(a,1),4675(a,1,2))]. 5767 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(215(a,1),4675(a,1,2))]. 5768 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(4675(a,1),532(a,1))]. 5769 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4675(a,1),430(a,1,1))]. 5771 K(x,y) * (T(x,z) * u) = T(x,y) * (K(x,z) * u). [para(4638(a,1),4675(a,1,2))]. 5773 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4692(a,1),20(a,2,2)),flip(a)]. 5774 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4701(a,2),1545(a,1,2)),flip(a)]. 5775 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(4703,a,4702,a)]. 5776 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(4056,a,4702,a),flip(a)]. 5777 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(409,a,4702,a)]. 5778 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(4702(a,1),48(a,2)),flip(b)]. 5779 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4721(a,2),4663(a,1))]. 5781 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4757(a,1),2194(a,1,2))]. 5782 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4023(a,1),4757(a,1,1)),flip(a)]. 5783 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(790(a,1),4758(a,2,2))]. 5784 1 / (x * K(y,x)) = K(x,y) / x. [para(4636(a,1),4758(a,2,2)),flip(a)]. 5786 T(1 / x,(y * x) / y) = x \ 1. [hyper(216,a,4827,a(flip),b,4646,a(flip))]. 5789 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(62,a,3732,a,b,4854,a)]. 5790 x * K(y,y \ x) != z | y * (x / y) = z. [para(4854(a,1),232(a,1,2)),flip(b)]. 5791 T(x,K(y,y \ x)) = x. [hyper(216,a,4856,a,b,4674,a)]. 5792 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4856(a,1),18(a,2,1)),flip(a)]. 5794 K(x,K(y,y \ x)) = 1. [hyper(54,a,5791,a)]. 5795 x * K(y,K(z,z \ y)) = x. [para(5794(a,2),8(a,1,2))]. 5796 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [hyper(3061,a,4925,a),flip(a)]. 5798 (1 / x) * K(y,y \ 1) = x \ 1. [para(73(a,1),4977(a,1,1,2))]. 5801 (1 / (1 / x)) / (y * z) = x / (y * ((z \ 1) \ 1)). [para(4977(a,1),4399(a,1,1)),flip(a)]. 5803 K(x \ 1,x) * y = (y \ 1) \ 1. [para(1391(a,1),4978(a,1,1))]. 5805 K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. [para(4978(a,1),3490(a,1,1)),flip(a)]. 5806 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [para(4978(a,1),4449(a,2,2))]. 5808 K(x * (y \ 1),z) = K(x * (1 / y),z). [para(2642(a,1),5198(a,1,1)),flip(a)]. 5809 K(x / (y \ 1),z) = K(x / (1 / y),z). [para(2653(a,1),5198(a,1,1))]. 5811 K((x \ 1) * y,z) = K((1 / x) * y,z). [para(2997(a,1),5198(a,1,1)),flip(a)]. 5812 K((x \ 1) \ y,z) = K((1 / x) \ y,z). [para(3037(a,1),5198(a,1,1))]. 5814 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4430(a,2),5198(a,1,1))]. 5819 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(33,a,4395,a,b,5303,a),flip(a)]. 5824 (x * K(y,y \ 1)) \ (1 / z) = x \ (z \ 1). [para(5316(a,1),3500(a,2,2))]. 5826 x * K(1 / y,y) = 1 / (1 / x). [para(1436(a,1),5317(a,1,2))]. 5833 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(116,a,541,a(flip),b,5698,a),flip(a)]. 5834 x \ y != K(x,z) * u | T(x,z) * u = y. [para(5713(a,1),46(a,1)),flip(a)]. 5835 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5713(a,1),232(a,1,2)),flip(b)]. 5836 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5715(a,1),42(a,1))]. 5838 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),5728(a,1,2,1))]. 5839 K(x,y) \ z = K(y,x) * z. [hyper(37,a,5732,a,b,5736,a)]. 5840 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(37,a,4249,a,b,5736,a),flip(a)]. 5841 ((x \ y) \ y) \ z = x \ (K(x \ y,x) * z). [para(109(a,1),5736(a,2,1)),flip(a)]. 5843 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3237,a,5839,a)]. 5844 x / (K(y,z) * x) = K(z,y). [hyper(489,a,5839,a)]. 5845 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(304,a,5839,a),flip(a)]. 5846 K(x,y) * (K(y,x) * z) = z. [hyper(302,a,5839,a),flip(a)]. 5847 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(286,a,2798,a,b,5839,a),flip(a)]. 5848 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(115,a,5839,a,b,108,a)]. 5849 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(62,a,3501,a(flip),b,5839,a),flip(a)]. 5850 x * (K(y,z) * u) != u | K(z,y) = x. [para(5839(a,1),126(a,1,2)),flip(b)]. 5851 K(x,y) * z != u | K(y,x) * u = z. [para(5839(a,1),131(a,1))]. 5852 K(x,y) * (K(y,x) * z) != u | u = z. [para(5839(a,1),232(a,1,2))]. 5853 K(x,y) * (K(y,x) * z) != u | z = u. [para(5839(a,1),233(a,1,2))]. 5854 x / (K(y,z) * x) != u | K(z,y) = u. [para(5839(a,1),258(a,1,2))]. 5855 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5839(a,2),92(a,1,1))]. 5856 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5839(a,1),268(a,1,1,2))]. 5857 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5839(a,1),268(a,1,1))]. 5859 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5839(a,1),539(a,1,2))]. 5860 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5839(a,1),323(a,1,1,3))]. 5861 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(5839(a,1),3565(a,1,1))]. 5862 (K(x,y) \ 1) \ z = K(x,y) * z. [para(4781(a,2),5839(a,1,1))]. 5864 K(x,y) != z / u | K(y,x) * z = u. [para(5844(a,1),44(a,1))]. 5865 K(x,y) \ z != u | K(y,x) * z = u. [para(5844(a,1),303(a,1,1)),flip(b)]. 5866 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2794(a,2),5844(a,1,2))]. 5867 K(x \ y,x) * (x * (y / x)) = y. [hyper(33,a,4674,a,b,5846,a),flip(a)]. 5868 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(33,a,2093,a,b,5846,a),flip(a)]. 5869 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). [para(5846(a,1),14(a,2,1,2)),flip(a)]. 5871 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5846(a,1),94(a,2,1))]. 5872 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5846(a,1),104(a,1,2))]. 5873 a(x / K(y,z),K(y,z),K(z,y) * u) = ((x / K(y,z)) * u) \ (x * (K(z,y) * u)). [para(5846(a,1),84(a,1,1,2)),flip(a)]. 5874 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(5846(a,1),655(a,1,1,2))]. 5875 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5846(a,1),430(a,1,1)),flip(a)]. 5876 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(108(a,1),5740(a,1,2))]. 5877 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5740(a,1),232(a,1,2)),flip(b)]. 5878 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5740(a,1),258(a,1,2))]. 5879 K(x,y \ z) * T(y,y \ z) = T(y \ z,x) \ z. [para(201(a,1),5740(a,1,2)),flip(a)]. 5880 T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). [para(272(a,1),5740(a,1,2))]. 5883 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4621(a,1),5740(a,1,2)),flip(a)]. 5884 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4659(a,2),5740(a,1,2))]. 5885 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5740(a,1),4643(a,1,2)),flip(a)]. 5888 K(x,R(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). [para(459(a,1),5741(a,1,2))]. 5889 K(x,L(y,z \ 1,z)) * a(z,z \ 1,y) = T(L(y,z \ 1,z),x) \ y. [para(713(a,1),5741(a,1,2))]. 5891 K(x,T(y,z)) * (K(z,y) * u) = T(T(y,z),x) \ (y * u). [para(5740(a,1),5741(a,1,2))]. 5892 K(x,y) * (x / y) = x / T(y,x). [hyper(4165,a,5745,a),flip(a)]. 5893 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1024,a,5745,a)]. 5894 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5745(a,1),301(a,1,2)),flip(b)]. 5895 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(2234(a,1),5745(a,1,2))]. 5896 K(x,1 / (y \ x)) = K(x,y / x). [para(73(a,1),5754(a,1,2,1)),flip(a)]. 5897 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5754(a,1),272(a,1,2))]. 5898 x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). [para(5754(a,1),1770(a,1,2))]. 5899 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5781(a,1),213(a,1,2,1))]. 5900 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(175,a,5784,a)]. 5901 (x \ 1) / ((y \ 1) \ 1) = (1 / x) / y. [hyper(116,a,5798,a(flip),b,2635,a)]. 5903 K(x,K(y \ 1,y) * z) = K(x,z). [para(5803(a,2),3314(a,1,2))]. 5904 K(x \ 1,x) * y = z * (((z \ y) \ 1) \ 1). [para(5803(a,1),4434(a,1,2)),flip(a)]. 5905 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5848(a,1),1681(a,1,2,2,1))]. 5906 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5848(a,1),1870(a,1,2,2,1))]. 5908 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5892(a,1),92(a,1,1))]. 5909 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5892(a,1),171(a,1,2,1))]. 5910 K(x,y / (z \ 1)) = K(x,y / (1 / z)). [para(2569(a,1),5903(a,1,2)),flip(a)]. 5911 K(x,y * (z \ 1)) = K(x,y * (1 / z)). [para(2572(a,1),5903(a,1,2))]. 5914 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4394(a,2),5903(a,1,2))]. 5917 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3328(a,1),4819(a,1,1))]. 5918 (x * ((y \ 1) * y)) * a(x,y \ 1,y) = R(x,y \ 1,y). [hyper(62,a,81,a,b,4912,a)]. 5919 L(x / y,y,y \ 1) = L(x,y \ 1,y) / y. [hyper(62,a,4554,a(flip),b,4913,a),flip(a)]. 5920 L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). [para(4913(a,1),14(a,2,1)),flip(a)]. 5921 (x * y) * L((x * y) \ z,y,y \ 1) = x * (y * ((y \ 1) * (x \ z))). [para(4914(a,1),893(a,2,2,2))]. 5922 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(4915(a,1),232(a,1,2)),flip(b)]. 5924 L(K(x \ 1,x),y,z) = K(L(u,w,v5) \ 1,u). [hyper(286,a,4402,a,b,5262,a)]. 5927 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2797,a,5719,a)]. 5928 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2797,a,5720,a)]. 5932 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(225(a,1),5779(a,1,2))]. 5934 K(x,y) * z != u | K(y,x) \ z = u. [para(10(a,1),5852(a,1,2)),flip(b)]. 5938 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4644(a,1),5852(a,1,2)),flip(b)]. 5941 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(115,a,5927,a(flip),b,4638,a),flip(a)]. 5942 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(115,a,5928,a(flip),b,4638,a),flip(a)]. 5944 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(9(a,1),4596(a,1,1,1)),flip(a)]. 5945 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(4611(a,1),3383(a,2,1,2,1))]. 5948 T(x,x * y) * (L(x,y,x) \ z) = K(T(x,x * y),y) * z. [para(600(a,1),4633(a,1,2,1))]. 5949 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(116,a,804,a(flip),b,4640,a)]. 5950 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4640(a,1),217(a,2)),flip(a)]. 5951 x / (y * T(y \ x,z)) = K(z,x / y). [para(4640(a,1),5844(a,1,2))]. 5954 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(62,a,2296,a(flip),b,4648,a)]. 5957 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4648(a,1),1769(a,1,2))]. 5958 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4648(a,1),2068(a,2,1))]. 5959 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4648(a,1),3372(a,1,1))]. 5960 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(286,a,4614,a,b,4666,a),flip(a)]. 5961 K(x,(y \ 1) \ x) = K(x,x * y). [para(4893(a,1),5960(a,1,2,2)),flip(a)]. 5962 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [hyper(182,a,4680,a)]. 5963 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(4700(a,2),42(a,1))]. 5964 K(x,(y / z) \ 1) = K(x,z / y). [hyper(4727,a,4720,a)]. 5966 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(4720(a,2),4663(a,1))]. 5967 K(x,1 / (y / z)) = K(x,z / y). [hyper(62,a,3318,a(flip),b,5964,a)]. 5968 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),5964(a,1,2,1)),flip(a)]. 5969 K(x,(y \ z) / z) = K(x,y \ 1). [para(73(a,1),5964(a,1,2,1)),flip(a)]. 5970 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),5967(a,1,2,2)),flip(a)]. 5973 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5968(a,1),4699(a,1,1))]. 5977 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5970(a,1),4689(a,1,2))]. 5978 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5970(a,2),5757(a,1))]. 5979 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4724(a,1),4663(a,1))]. 5980 T((x \ y) \ y,z) != u | T(T(x,z),x \ y) = u. [para(109(a,1),5979(a,1,1))]. 5981 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(3994(a,1),5979(a,1))]. 5982 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4065(a,2),5979(a,1))]. 5983 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(4107(a,2),5979(a,1))]. 5984 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(4774(a,1),1787(a,1,2)),flip(a)]. 5987 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(115,a,4818,a,b,4636,a(flip))]. 5988 T(x * K(y,x),y) != z | x = z. [para(4818(a,2),259(a,1))]. 5989 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4818(a,2),4610(a,2,1)),flip(a)]. 5990 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4818(a,2),4706(a,1))]. 5991 K(x,y * x) = K(x,x * y). [hyper(4837,a,4836,a)]. 5992 K(x,x * (y / x)) = K(x,y). [para(12(a,1),5991(a,1,2)),flip(a)]. 5993 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(81(a,1),5991(a,2,2))]. 5994 (x \ 1) \ a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(115,a,717,a(flip),b,4916,a)]. 5995 R(1 / x,y,z) * K(u \ 1,u) = R(x \ 1,y,z). [para(3579(a,1),5120(a,1,1))]. 5998 K(x \ 1,x) * (y / z) = y / ((z \ 1) \ 1). [para(2639(a,1),5122(a,1,2))]. 5999 x \ (T(x \ 1,y) \ 1) = K(y,x \ 1). [hyper(115,a,5712,a,b,xx)]. 6000 x \ (T(x \ 1,y) \ 1) != z | K(y,x \ 1) = z. [para(5712(a,2),301(a,1,2)),flip(b)]. 6001 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(10(a,1),5716(a,1,1,1)),flip(a)]. 6004 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4636(a,1),5716(a,1,1))]. 6006 K(x,y) * (z * x) != u * w | u \ (T(x,y) * T(z,x)) = w. [para(5717(a,2),513(a,1))]. 6008 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(286,a,2941,a(flip),b,5738,a)]. 6009 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5738(a,2),2949(a,1))]. 6010 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5738(a,2),2952(a,1))]. 6011 ((x * y) / x) * z = y * (K(x,y) * z). [para(5739(a,1),1295(a,1,2)),flip(a)]. 6013 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(4614(a,2),5739(a,1,2))]. 6014 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5756(a,1),232(a,1,2)),flip(b)]. 6015 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(131,a,5774,a(flip))]. 6016 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(73(a,1),5808(a,2,1,2))]. 6017 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(76(a,1),5808(a,1,1,2)),flip(a)]. 6018 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5784(a,1),5811(a,2,1,1))]. 6019 (x * K(y,x)) * z = K(y,x) * (x * z). [hyper(286,a,4812,a(flip),b,5840,a)]. 6020 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(10(a,1),5840(a,2,1,1))]. 6021 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(286,a,2932,a(flip),b,5866,a),flip(a)]. 6023 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(286,a,2093,a,b,5884,a),flip(a)]. 6024 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5885(a,1),104(a,2,1))]. 6025 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(104(a,1),5885(a,1,2)),flip(a)]. 6026 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5885(a,1),300(a,1))]. 6029 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5885(a,1),430(a,1,1))]. 6030 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(872(a,1),5893(a,1,2))]. 6034 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(73(a,1),5911(a,2,2,2))]. 6035 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1481(a,1),5951(a,1,2))]. 6036 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1496(a,1),5951(a,1,2))]. 6037 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4618(a,2),5962(a,1,2))]. 6038 x * K(y,x \ 1) != z | T(x \ 1,y) \ 1 = z. [para(5999(a,1),232(a,1,2)),flip(b)]. 6040 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(286,a,5735,a,b,6004,a),flip(a)]. 6041 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(62,a,4812,a(flip),b,6011,a)]. 6042 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(10(a,1),6011(a,1,1,1)),flip(a)]. 6043 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(6011(a,1),766(a,1,1))]. 6044 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4054(a,1),6011(a,1,1))]. 6045 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5892(a,1),6011(a,2,2))]. 6047 L(x,y,K(z,y)) = x. [hyper(33,a,2813,a,b,6019,a)]. 6049 a(K(x,y),y,z) = 1. [hyper(52,a,6047,a)]. 6050 L(x,T(y,z),K(z,y)) = x. [para(3702(a,1),6047(a,1,3))]. 6051 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4053(a,1),6023(a,1,2)),flip(a)]. 6052 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4978(a,2),6034(a,1,2,2))]. 6053 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(2787(a,1),6040(a,2,2))]. 6054 R(x,K(y,x),z) = x. [hyper(4528,a,6041,a)]. 6055 L(x,K(y,z),z) = x. [hyper(435,a,6041,a)]. 6056 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(6041(a,1),18(a,2,1)),flip(a)]. 6057 (K(x,y) * z) * u != (y * K(x,y)) * z | T(y,K(x,y) * z) = u. [para(6041(a,2),217(a,2))]. 6058 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(6054(a,1),468(a,1,1,1)),flip(a)]. 6059 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(6054(a,1),470(a,1,1,1)),flip(a)]. 6060 L(x,K(y,z),z) != u | u = x. [para(6055(a,1),49(a,1)),flip(a)]. 6061 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(6055(a,1),261(a,1,2))]. 6066 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5928(a,1),5724(a,1,2))]. 6067 x \ y != z | T(x,y) \ ((x * y) / x) = z. [para(4632(a,1),5744(a,1,2))]. 6070 K(x,T(y,z)) * (K(z,y) * u) != w | T(T(y,z),x) \ (y * u) = w. [para(5740(a,1),5747(a,1,2))]. 6072 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5736(a,1),5765(a,1,2))]. 6073 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(108(a,1),5835(a,1,2))]. 6075 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5733(a,1),5835(a,1))]. 6077 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5846(a,1),5877(a,1,2))]. 6078 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(25(a,2),5894(a,1,1))]. 6079 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2094,a,5941,a)]. 6080 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2094,a,5942,a)]. 6081 L(K(x * y,x) \ z,K(x * y,x),K(x,y)) = (x \ R(x,y,x)) \ (K(x,y) * z). [para(5942(a,1),94(a,2,1))]. 6082 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5942(a,1),2094(a,1))]. 6083 T(x,y \ 1) != z | T(x,1 / y) = z. [para(71(a,1),5966(a,1,2,1))]. 6084 T(x,y \ K(y,z)) != u | T(x,z / (z * y)) = u. [para(4757(a,1),5966(a,1,2))]. 6088 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(10(a,1),6080(a,1,1,1)),flip(a)]. 6089 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4593(a,2),4096(a,1,1))]. 6090 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(34,a,4669,a,b,4707,a)]. 6091 R(T(L(x * K(y,x),z,u),y * w),y,w) = (y * w) \ ((y * L(x,z,u)) * w). [para(4707(a,1),588(a,1,2,1)),flip(a)]. 6092 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5784(a,1),4709(a,1,1,2))]. 6093 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(6092(a,1),108(a,1,2)),flip(a)]. 6094 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4725(a,1),4663(a,1))]. 6095 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(116,a,4820,a,b,4671,a(flip))]. 6096 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4820(a,2),4610(a,2,1)),flip(a)]. 6097 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4820(a,2),4756(a,2,2)),flip(a)]. 6098 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(286,a,4636,a(flip),b,4821,a)]. 6099 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(115,a,4821,a,b,4636,a(flip))]. 6100 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4821(a,2),4001(a,1,1))]. 6101 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4821(a,2),4610(a,2,1)),flip(a)]. 6102 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4821(a,2),6011(a,1,1)),flip(a)]. 6108 x \ (K(y,y \ 1) * z) = ((x \ 1) \ 1) \ z. [hyper(62,a,4361,a,b,5181,a)]. 6109 x * (((x \ (y \ z)) \ 1) \ 1) = ((y \ 1) \ 1) \ z. [hyper(62,a,2960,a(flip),b,5181,a)]. 6113 ((x \ 1) \ 1) * (y / T(z,u)) = x * (y / T(1 / (1 / z),u)). [para(3135(a,1),5525(a,1,2))]. 6121 ((1 / (1 / x)) \ y) * z = (x \ y) * ((z \ 1) \ 1). [para(5544(a,1),2621(a,1,1)),flip(a)]. 6122 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(121,a,5673,a)]. 6123 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(286,a,3639,a,b,5695,a),flip(a)]. 6124 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(116,a,3639,a,b,5695,a)]. 6125 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [hyper(929,a,5704,a),flip(a)]. 6126 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(877,a,5704,a)]. 6127 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(815,a,5704,a),flip(a)]. 6128 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(682,a,5704,a),flip(a)]. 6129 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,y). [hyper(624,a,5704,a)]. 6130 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(62,a,1496,a(flip),b,5704,a)]. 6131 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(62,a,872,a(flip),b,5704,a),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(116,a,5704,a(flip),b,400,a)]. 6133 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [hyper(115,a,1962,a(flip),b,5704,a(flip))]. 6134 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [hyper(115,a,1481,a(flip),b,5704,a(flip))]. 6135 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(9(a,1),5704(a,1,2,1)),flip(a)]. 6136 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = (x * y) * T(L(z,y,x),u). [para(18(a,2),5704(a,1,2,1)),flip(a)]. 6137 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(22(a,2),5704(a,2,2,1,1))]. 6138 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) != u | T(x,z) / y = u. [para(5704(a,1),929(a,1))]. 6141 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(116,a,804,a(flip),b,5705,a)]. 6143 K((x / y) \ 1,z) = K(y / x,z). [hyper(34,a,4640,a,b,5705,a),flip(a)]. 6144 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(929,a,5705,a(flip)),flip(a)]. 6145 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),5705(a,2,2,1))]. 6148 K((x / y) \ 1,x) = K(x \ y,x). [hyper(286,a,4777,a,b,6143,a),flip(a)]. 6149 K(1 / (x / y),z) = K(y / x,z). [hyper(62,a,2930,a(flip),b,6143,a)]. 6150 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),6143(a,1,1,1)),flip(a)]. 6152 K((x \ y) / y,z) = K(x \ 1,z). [para(73(a,1),6143(a,1,1,1)),flip(a)]. 6154 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(286,a,4174,a(flip),b,6148,a),flip(a)]. 6155 K(x \ (y \ x),x) = K(y \ 1,x). [para(73(a,1),6148(a,1,1,1)),flip(a)]. 6156 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(286,a,4651,a,b,6149,a)]. 6158 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2818,a,5748,a)]. 6159 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5775(a,1),301(a,1,2)),flip(b)]. 6160 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5775(a,1),5988(a,1,1))]. 6161 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(4672(a,1),6160(a,1,1,1))]. 6162 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(612(a,1),6161(a,1,1))]. 6163 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4804(a,1),5796(a,1,1))]. 6164 K(x \ (y \ 1),z) = K(x \ (1 / y),z). [para(1693(a,1),5814(a,1,1,2)),flip(a)]. 6165 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(2140(a,1),5814(a,1,1,2))]. 6167 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3529(a,1),5814(a,1,1))]. 6168 L(x \ 1,y,z) \ (u \ 1) = L(1 / x,y,z) \ (1 / u). [para(4570(a,1),5824(a,1,1)),flip(a)]. 6169 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5833(a,1),23(a,1,1)),flip(a)]. 6173 K(x,(y * (z \ 1)) \ u) = K(x,(y * (1 / z)) \ u). [para(2642(a,1),5914(a,1,2,1)),flip(a)]. 6174 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3492(a,1),5914(a,1,2)),flip(a)]. 6176 K(L(x,y,z) \ 1,x) / R(L(u,w,v5) \ 1,u,u \ 1) = L(u,w,v5). [para(5924(a,1),4314(a,1,1))]. 6177 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(62,a,631,a(flip),b,5944,a)]. 6179 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5987(a,1),232(a,1,2)),flip(b)]. 6180 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4584(a,2),5987(a,1,2,1))]. 6181 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5704(a,2),5987(a,1,2,1))]. 6182 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5775(a,1),5989(a,1,1,1))]. 6183 x * (((x \ (y / z)) \ 1) \ 1) = y / ((z \ 1) \ 1). [hyper(62,a,5904,a(flip),b,5998,a)]. 6184 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5851,a,6001,a)]. 6185 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(62,a,144,a(flip),b,6001,a)]. 6187 ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). [para(6001(a,1),5841(a,2,2))]. 6188 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5851,a,6020,a)]. 6193 (x / y) * K(y \ x,y) = y \ x. [hyper(4798,a,6042,a),flip(a)]. 6195 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4675(a,1),6042(a,1,2))]. 6201 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(73(a,1),6045(a,1,2)),flip(a)]. 6202 K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). [para(3037(a,1),6052(a,1,2,2))]. 6203 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(62,a,4533,a(flip),b,6122,a)]. 6204 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6203(a,1),5961(a,1,2,1))]. 6205 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(912(a,1),6156(a,1,1)),flip(a)]. 6206 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(2960(a,1),6165(a,1,1,2))]. 6207 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(5805(a,1),6174(a,1,2,2))]. 6209 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(6184(a,1),5852(a,1,2)),flip(b)]. 6215 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3564(a,1),4661(a,1,2,1)),flip(a)]. 6219 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4825(a,2),4022(a,1,1))]. 6220 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(25(a,2),5768(a,1,2))]. 6225 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4648(a,1),6014(a,1))]. 6226 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(76(a,1),6225(a,1,2))]. 6230 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4636(a,2),6061(a,1,1))]. 6233 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(34,a,4669,a,b,4715,a)]. 6234 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [hyper(129,a,4755,a(flip))]. 6236 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4615(a,1),5696(a,1,1))]. 6237 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(76(a,1),6236(a,1,1,1)),flip(a)]. 6238 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(105(a,1),6236(a,2,1,1))]. 6239 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2932(a,1),6236(a,1,1)),flip(a)]. 6240 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6237(a,1),6236(a,1,1)),flip(a)]. 6241 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6239(a,1),5839(a,1,1)),flip(a)]. 6242 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(532,a,5697,a)]. 6243 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(62,a,1485,a(flip),b,5697,a)]. 6244 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(824(a,1),5697(a,1,2))]. 6245 x * (y \ ((z \ (y * (x \ 1))) * z)) = K((x * (y \ z)) \ 1,z). [para(1256(a,1),5697(a,1,2))]. 6246 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4615(a,1),5699(a,1,1))]. 6247 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6246(a,1),92(a,1,2))]. 6248 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(2930(a,1),6246(a,1,1))]. 6249 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2932(a,1),6246(a,1,1)),flip(a)]. 6250 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(286,a,2930,a(flip),b,6248,a),flip(a)]. 6252 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6249(a,1),5839(a,1,1)),flip(a)]. 6253 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(2931(a,1),6250(a,1,1)),flip(a)]. 6254 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6253(a,1),4794(a,1,2)),flip(a)]. 6256 K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). [para(5270(a,1),5703(a,1,1))]. 6258 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(76(a,1),5706(a,2,1,1))]. 6260 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(824(a,1),5707(a,1,2))]. 6261 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5703(a,2),5707(a,1,2))]. 6262 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(62,a,6143,a,b,5742,a)]. 6263 x / ((y * K(z,y)) * ((z \ 1) \ 1)) = (1 / (1 / x)) / (z * y). [para(4669(a,1),5801(a,1,2)),flip(a)]. 6267 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(121,a,5898,a)]. 6268 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(129,a,5954,a)]. 6269 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1148(a,1),5954(a,1,1))]. 6270 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2216(a,1),5954(a,1,1))]. 6272 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [para(4636(a,1),5957(a,2,2)),flip(a)]. 6274 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4507(a,1),6035(a,1,2))]. 6275 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4497(a,1),6036(a,1,2))]. 6276 T(x,y) * (K(x * y,x) * z) = R(x,y,x) * z. [para(5928(a,1),6058(a,1,1)),flip(a)]. 6278 (((x / y) \ 1) \ 1) \ x = z * (((z \ y) \ 1) \ 1). [para(76(a,1),6109(a,1,2,1,1,2)),flip(a)]. 6279 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(131,a,6126,a)]. 6280 x / (((y \ x) \ 1) \ 1) = z * (((z \ y) \ 1) \ 1). [para(73(a,1),6183(a,1,2,1,1,2)),flip(a)]. 6281 ((x / y) * (y * z)) \ (((y \ x) * T(y,y \ x)) * z) = a(y \ x,T(y,y \ x),z). [para(6195(a,1),14(a,2,1)),flip(a)]. 6282 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4757(a,2),6202(a,1,2,2))]. 6286 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(76(a,1),6261(a,1,2,1,1))]. 6287 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2932(a,1),6261(a,1,2,1))]. 6288 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(362(a,1),6267(a,1,2,2,1,2))]. 6289 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(286,a,5957,a,b,6268,a),flip(a)]. 6290 x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. [hyper(182,a,6278,a)]. 6291 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4781(a,1),6279(a,1,2,2,1,1,2))]. 6294 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4757(a,1),6289(a,1,1,2))]. 6295 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5964(a,1),6289(a,1,1)),flip(a)]. 6299 x / ((((y / z) \ 1) \ 1) * z) = ((x / y) \ 1) \ 1. [para(2131(a,2),6290(a,1,2))]. 6300 ((x / (y * z)) \ 1) \ 1 = x / (((y \ 1) \ 1) * z). [para(11(a,1),6299(a,1,2,1,1,1)),flip(a)]. 6302 L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). [para(5839(a,2),4752(a,2,1))]. 6303 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(115,a,5839,a,b,5855,a)]. 6304 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5839(a,1),5856(a,1,1))]. 6305 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(4208,a,5857,a)]. 6306 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5857(a,1),6060(a,1)),flip(b)]. 6309 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(33,a,4543,a(flip),b,6090,a),flip(a)]. 6311 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(6090(a,1),2789(a,1,1))]. 6313 K(x \ 1,L(x,y,z)) * (u / w) = u / ((w \ 1) \ 1). [para(6309(a,2),5998(a,1,1))]. 6317 K(x \ y,x) * T(z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(22(a,2),6209(a,1,2))]. 6320 L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). [para(10(a,1),6303(a,1,2,2)),flip(a)]. 6321 K(x \ 1,L(x,y,z)) * (u / L(w,v5,v6)) = u / L((w \ 1) \ 1,v5,v6). [para(3417(a,2),6313(a,2,2))]. 6324 L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). [para(4791(a,1),6320(a,2,2))]. 6325 (1 / (x * y)) / (1 / (y * x)) = K(1 / y,1 / x). [para(32(a,1),4607(a,1,2))]. 6326 ((x * y) \ 1) / (1 / (y * x)) = K(1 / y,1 / x). [para(4885(a,2),6325(a,1,1))]. 6327 ((x * y) \ 1) / ((y * x) \ 1) = K(1 / y,1 / x). [para(4885(a,2),6326(a,1,2))]. 6328 ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,1 / x). [hyper(286,a,2930,a,b,6327,a),flip(a)]. 6329 ((x * y) \ 1) / ((y * x) \ 1) = K(y \ 1,x \ 1). [hyper(286,a,3318,a,b,6328,a),flip(a)]. 6330 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4713(a,1),4842(a,1,2))]. 6331 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(286,a,4692,a(flip),b,6330,a),flip(a)]. 6333 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(3999,a,5766,a(flip)),flip(a)]. 6334 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4000,a,5767,a(flip)),flip(a)]. 6336 (x * 1) * a(x,y \ 1,y) = R(x,y \ 1,y). [para(4888(a,1),5918(a,1,1,2))]. 6338 L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). [para(4888(a,1),5920(a,1,2,1))]. 6339 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(7(a,1),6338(a,1,2))]. 6341 x * (L(x,y,y \ 1) \ 1) = a(y \ 1,y,x). [hyper(62,a,1237,a,b,6339,a)]. 6342 (((x \ 1) * x) \ y) \ (x \ ((x \ 1) \ y)) = a(x \ 1,x,x \ ((x \ 1) \ y)). [para(268(a,1),6339(a,1,1))]. 6343 K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). [para(4804(a,1),6018(a,1,1,1))]. 6344 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2796(a,1),6059(a,1,1))]. 6345 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4510,a,6130,a),flip(a)]. 6346 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(6130(a,2),301(a,1,2)),flip(b)]. 6347 (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),6131(a,2,2))]. 6348 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3593(a,1),6134(a,1,2)),flip(a)]. 6349 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(216,a,5706,a(flip),b,6137,a(flip)),flip(a)]. 6350 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(76(a,1),6349(a,2,1,1))]. 6351 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2932(a,1),6349(a,2,1))]. 6352 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2121(a,1),6350(a,1,1))]. 6353 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6350(a,1),6246(a,1,1)),flip(a)]. 6355 1 / T(K(x,y),z) != u | K(y,T(x \ 1,z) \ 1) = u. [para(6351(a,1),4797(a,1,2))]. 6356 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(127,a,6144,a),flip(a)]. 6357 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(109(a,2),6201(a,1,2,2,1))]. 6358 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(3589(a,1),6204(a,1,2,1))]. 6359 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(286,a,65,a(flip),b,6215,a),flip(a)]. 6361 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(62,a,5752,a(flip),b,6243,a),flip(a)]. 6362 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5704(a,1),6243(a,1,1))]. 6363 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(121,a,6244,a),flip(a)]. 6364 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(76(a,1),6244(a,1,2,2,1,2)),flip(a)]. 6365 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(62,a,5528,a(flip),b,6256,a),flip(a)]. 6367 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(62,a,6275,a(flip),b,6274,a),flip(a)]. 6368 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(9(a,1),6294(a,2,2,2,1))]. 6370 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6344(a,1),471(a,1))]. 6371 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(131,a,6363,a)]. 6373 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6361(a,1),6371(a,1,2,2))]. 6374 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6373(a,1),1725(a,2,2,1))]. 6375 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(62,a,1942,a,b,4762,a)]. 6376 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(6179,a,4838,a)]. 6377 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(197(a,1),6376(a,2,3))]. 6378 T((x * y) \ z,(y \ (x \ z)) \ 1) = (x * y) \ z. [hyper(286,a,268,a(flip),b,4899,a),flip(a)]. 6379 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(1 / y,1 / x,z). [para(4885(a,2),4911(a,1,2,1))]. 6380 K(x,y) * ((y \ 1) * (T(y,x) * z)) = L(z,T(y,x),y \ 1). [hyper(5865,a,5662,a)]. 6381 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(5763(a,1),5844(a,1,2))]. 6382 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5763(a,1),5854(a,1,2))]. 6383 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4885(a,2),5917(a,1,1,1,1,2))]. 6386 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6148(a,1),6238(a,1,1))]. 6387 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(12(a,1),6386(a,2,1,1,2))]. 6389 L(x \ (y * z),x,K(T(y,y * z) * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(3689(a,1),6324(a,1,1,2))]. 6390 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,1 / x,z). [para(4885(a,2),6379(a,2,1))]. 6391 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(286,a,4357,a,b,6383,a),flip(a)]. 6392 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). [para(4885(a,2),6390(a,2,2))]. 6393 ((x * y) \ 1) / (x \ 1) = y \ 1. [hyper(483,a,6392,a(flip))]. 6394 (x \ 1) * (y \ 1) = (y * x) \ 1. [hyper(129,a,6393,a)]. 6395 (x \ 1) / (y \ 1) = (y \ x) \ 1. [para(10(a,1),6393(a,1,1,1))]. 6396 (x * (y \ 1)) \ (x * ((z * y) \ 1)) = L(z \ 1,y \ 1,x). [para(6394(a,1),18(a,2,2,2)),flip(a)]. 6397 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). [para(6394(a,1),20(a,2,2)),flip(a)]. 6398 L(x \ 1,y \ 1,y) = y * ((x * y) \ 1). [para(6394(a,1),235(a,1,2)),flip(a)]. 6401 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [para(4781(a,1),6394(a,1,1)),flip(a)]. 6402 (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). [para(4781(a,1),6394(a,1,2)),flip(a)]. 6403 (x * (y \ 1)) \ 1 = y * (x \ 1). [para(4893(a,1),6394(a,1,1)),flip(a)]. 6404 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(4893(a,1),6394(a,1,2)),flip(a)]. 6405 R(x \ 1,y \ 1,y) = ((y * x) \ 1) * y. [para(6394(a,1),4912(a,1,1)),flip(a)]. 6406 (((x * y) \ 1) / (y \ 1)) \ z = K(x \ 1,y \ 1) * ((x \ 1) \ z). [para(6394(a,1),5716(a,1,1,1))]. 6407 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(6394(a,1),6016(a,1,1))]. 6408 ((x * y) \ (y * x)) \ 1 = K(x \ 1,y \ 1). [hyper(62,a,6329,a(flip),b,6395,a),flip(a)]. 6409 (x \ K(y,z)) \ 1 = K(z,y) / (x \ 1). [para(4781(a,1),6395(a,1,1)),flip(a)]. 6410 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(4893(a,1),6395(a,1,1)),flip(a)]. 6411 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [para(4893(a,1),6395(a,1,2)),flip(a)]. 6412 R(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). [para(458(a,1),6403(a,1,1))]. 6413 (x * (R(y,z,u) \ y)) \ 1 = (y \ R(y,z,u)) * (x \ 1). [para(6203(a,1),6403(a,1,1,2))]. 6414 K(x * (y \ 1),x) = K(y \ x,x). [para(6403(a,1),6361(a,1,1))]. 6415 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(6403(a,1),6394(a,1,1)),flip(a)]. 6416 ((x * (y \ 1)) * z) \ 1 = (z \ 1) * (y * (x \ 1)). [para(6403(a,1),6394(a,1,2)),flip(a)]. 6417 (x \ (y * (z \ 1))) \ 1 = (z * (y \ 1)) / (x \ 1). [para(6403(a,1),6395(a,1,1)),flip(a)]. 6418 L(x,y,y \ 1) \ 1 = ((y * x) \ 1) * y. [para(4913(a,1),6404(a,1,1))]. 6419 (x * ((y \ 1) * z)) \ 1 = ((z \ 1) * y) * (x \ 1). [para(6404(a,1),6394(a,1,1)),flip(a)]. 6420 (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). [para(6404(a,1),6394(a,1,2)),flip(a)]. 6421 (x \ ((y \ 1) * z)) \ 1 = ((z \ 1) * y) / (x \ 1). [para(6404(a,1),6395(a,1,1)),flip(a)]. 6422 (x / (y \ 1)) \ 1 = y \ (x \ 1). [hyper(4906,a,6410,a)]. 6423 (x * (y \ (z \ 1))) \ 1 = (z / (y \ 1)) * (x \ 1). [para(6410(a,1),6394(a,1,1)),flip(a)]. 6424 (x * (y / (z \ 1))) \ 1 = (z \ (y \ 1)) * (x \ 1). [para(6410(a,1),6403(a,1,1,2))]. 6425 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [hyper(4906,a,6411,a)]. 6426 (((x \ 1) / y) * z) \ 1 = (z \ 1) * ((y \ 1) \ x). [para(6411(a,1),6404(a,1,1,1))]. 6427 K((x \ 1) \ y,y) = K(y * x,y). [hyper(62,a,6016,a(flip),b,6414,a),flip(a)]. 6428 K(x * (1 / y),x) = K(y \ x,x). [hyper(62,a,5808,a(flip),b,6414,a)]. 6429 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4757(a,1),6414(a,1,1,2)),flip(a)]. 6431 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(4893(a,1),6422(a,1,1,2)),flip(a)]. 6432 K(x,y \ (z \ 1)) = K(x,(y \ 1) / z). [para(6422(a,1),5964(a,1,2))]. 6434 K(x,(y \ 1) \ z) = K(x,y / (z \ 1)). [para(6425(a,1),5964(a,1,2))]. 6435 K((x \ 1) \ y,z) = K(x / (y \ 1),z). [para(6425(a,1),6143(a,1,1))]. 6436 ((x * (y \ 1)) / z) \ 1 = (z \ 1) \ (y * (x \ 1)). [para(6403(a,1),6425(a,1,1,1))]. 6437 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(6431(a,2),5964(a,1,2))]. 6438 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(4781(a,1),6401(a,2,2))]. 6439 x \ 1 != (y \ 1) * K(z,u) | K(u,z) * y = x. [para(6402(a,1),47(a,1)),flip(a)]. 6440 ((T(x,y) * z) \ 1) * K(x,y) = (x * z) \ 1. [para(4644(a,1),6402(a,1,1)),flip(a)]. 6441 ((T(x,y) \ z) \ 1) * K(y,x) = (x \ z) \ 1. [para(5715(a,1),6402(a,1,1)),flip(a)]. 6442 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [hyper(4903,a,6409,a),flip(a)]. 6443 K(x,y) / (z \ 1) != u | 1 / (z \ K(y,x)) = u. [para(6409(a,1),4903(a,1))]. 6444 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(76(a,1),6442(a,1,2)),flip(a)]. 6446 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [hyper(175,a,6444,a)]. 6447 K(x,y) / z != 1 / u | (1 / z) \ K(y,x) = u. [para(6444(a,1),44(a,1))]. 6449 (x \ 1) \ R(x \ 1,y \ 1,y) = x * (((y * x) \ 1) * y). [para(6405(a,1),3561(a,2,2))]. 6450 x \ 1 != ((y * z) \ 1) * y | L(z,y,y \ 1) = x. [para(6418(a,1),47(a,1)),flip(a)]. 6451 x * (((y * x) \ 1) * y) = a(y \ 1,y,x). [para(6418(a,1),6341(a,1,2))]. 6452 x * R(x \ 1,y \ 1,y) = a(y \ 1,y,x). [para(6405(a,2),6451(a,1,2))]. 6453 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(10(a,1),6407(a,2,1))]. 6454 K(x \ 1,y \ 1) = K(y,x) \ 1. [para(16(a,2),6408(a,1,1)),flip(a)]. 6455 K(x \ 1,y \ 1) = K(x,y). [hyper(4795,a,6454,a)]. 6456 K(x \ 1,y \ 1) != z | K(x,y) = z. [para(6454(a,2),4783(a,1))]. 6457 K(x / y,z \ 1) = K(y / x,z). [hyper(62,a,6143,a(flip),b,6455,a)]. 6458 K(x \ 1,y) = K(x,y \ 1). [hyper(62,a,3314,a(flip),b,6455,a)]. 6459 L(x,y \ 1,K(y,z)) = x. [para(6455(a,1),3870(a,1,3))]. 6460 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(6459(a,1),3236(a,1,2)),flip(a)]. 6461 K(x \ (y \ x),x) = K(y,x \ 1). [hyper(62,a,6155,a,b,6458,a)]. 6462 K(x \ 1,y) * z = K(x,y \ 1) * z. [hyper(56,a,6458,a)]. 6463 x \ K(x * y,y \ 1) = (y \ (x \ 1)) * y. [hyper(115,a,6458,a(flip),b,6242,a)]. 6464 x \ K(x,y \ 1) = T(x \ 1,y). [hyper(115,a,6458,a(flip),b,4615,a)]. 6466 K(x,y \ 1) * (y \ z) = T(y,x \ 1) \ z. [para(6458(a,1),5741(a,1,1))]. 6467 (x * K(y,x \ 1)) \ z = K(x,y \ 1) * (x \ z). [para(6458(a,1),6004(a,1,1,2))]. 6469 L(x,K(y,z \ 1),z) = x. [para(6458(a,1),6055(a,1,2))]. 6471 ((x * y) \ x) * (x * y) = x * K(y,(x * y) \ 1). [para(6458(a,1),5702(a,2,2))]. 6472 K(x,y \ 1) * (x \ z) = z * T(z \ (x \ z),y). [para(6458(a,1),5703(a,1,1))]. 6473 K(x \ 1,y) * (T(x \ 1,z) * u) = T(x \ 1,y) * (K(x,z \ 1) * u). [para(6458(a,1),5771(a,2,2,1))]. 6474 (x * K(y,x \ 1)) * z = x * (K(y,x \ 1) * z). [hyper(1145,a,6469,a),flip(a)]. 6475 K(x,y \ 1) != z | K(x \ 1,y) = z. [para(2932(a,1),6456(a,1))]. 6476 K(x \ 1,y) != z | K(x,y \ 1) = z. [para(3314(a,1),6456(a,1))]. 6478 K(x / y,z \ 1) != u | K(y / x,z) = u. [para(6143(a,1),6456(a,1))]. 6479 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6458(a,1),6456(a,1))]. 6480 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(6458(a,2),6456(a,1))]. 6481 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(6457(a,1),6475(a,1))]. 6482 K(1 / x,y) != z | K(x,y \ 1) = z. [para(2930(a,1),6476(a,1))]. 6483 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2122(a,1),6479(a,1,2))]. 6485 K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. [para(5819(a,1),6479(a,1,2))]. 6486 K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. [para(6300(a,1),6479(a,1,2))]. 6487 K(x \ 1,y) != z | K(1 / x,y) = z. [para(76(a,1),6480(a,1,1,1))]. 6489 T(K(x,y),x) != z | K(x,y) = z. [para(2706(a,2),6480(a,1))]. 6492 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(6150(a,2),6487(a,1))]. 6493 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(6458(a,2),6478(a,1))]. 6494 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3867(a,2),6481(a,1))]. 6495 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(2930(a,1),6493(a,1))]. 6496 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6387(a,2),6493(a,1))]. 6497 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [para(4893(a,1),6453(a,1,1,1,1,1,1))]. 6498 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(236(a,2),6460(a,1,2))]. 6499 T(x,y \ 1) \ y = x \ T(y,x \ 1). [hyper(62,a,6123,a(flip),b,6466,a),flip(a)]. 6500 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2615,a,6498,a)]. 6502 (x \ 1) \ ((y \ 1) * ((z \ 1) * u)) = ((((u \ 1) * z) * y) / x) \ 1. [para(6420(a,1),6431(a,1,2))]. 6503 ((x \ ((y \ 1) * x)) \ 1) * (y \ z) = K(x \ 1,y) * z. [para(6421(a,2),5739(a,1,1))]. 6504 K(x,(((y \ 1) / z) * u) \ (w \ 1)) = K(x,((u \ 1) * ((z \ 1) \ y)) / w). [para(6426(a,1),6432(a,2,2,1))]. 6505 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = K(y,z \ 1) * ((y \ 1) * x). [para(393(a,1),6472(a,1,2)),flip(a)]. 6506 K(L(x,y,z) \ x,u \ 1) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). [para(4563(a,1),6472(a,1,2))]. 6507 (T(x \ 1,y) \ 1) * (x \ z) = K(y \ 1,x) * z. [para(22(a,2),6503(a,1,1,1))]. 6508 (T(x,y) \ 1) * ((x \ 1) \ z) = K(y \ 1,x \ 1) * z. [para(4893(a,1),6507(a,1,1,1,1))]. 6509 (T(x,y) \ 1) * ((x \ 1) \ z) = K(y,x) * z. [para(6455(a,1),6508(a,2,1))]. 6510 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [para(9(a,1),6509(a,1,2)),flip(a)]. 6511 T(x,y) \ (x * ((x \ 1) * z)) = (T(x,y) \ 1) * z. [hyper(62,a,5740,a,b,6510,a)]. 6512 (T(x,y) \ 1) * (T(x,y) * z) = L(z,T(x,y),x \ 1). [hyper(62,a,6380,a(flip),b,6510,a),flip(a)]. 6513 ((T(x,y) \ 1) * z) \ (K(y,x) * ((x \ 1) * (z * u))) = L(L(u,z,x \ 1),(x \ 1) * z,K(y,x)). [para(6510(a,1),430(a,1,1))]. 6514 T(x,y) \ L(z,x \ 1,x) = (T(x,y) \ 1) * z. [para(235(a,1),6511(a,1,2))]. 6515 L(x,T(y,z) \ 1,T(y,z)) = L(x,y \ 1,y). [hyper(757,a,6514,a),flip(a)]. 6516 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [hyper(131,a,6514,a)]. 6517 ((x \ y) \ y) \ L(z,x \ 1,x) = (T(x,x \ y) \ 1) * z. [para(109(a,1),6514(a,1,1))]. 6518 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(62,a,4221,a(flip),b,6515,a)]. 6520 L(x / T(y,z),T(y,z),T(y,z) \ 1) = L(x,y \ 1,y) / T(y,z). [para(6515(a,1),5919(a,2,1))]. 6522 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(62,a,4286,a(flip),b,6518,a)]. 6524 L(x,T(y,z),T(y,z) \ 1) = L(x,T(y,z),y \ 1). [hyper(5922,a,6512,a)]. 6526 x * (((y * x) \ 1) * y) = a(x \ 1,y \ 1,y). [hyper(62,a,3501,a(flip),b,6449,a),flip(a)]. 6527 a(x \ 1,y \ 1,y) = a(y \ 1,y,x). [hyper(62,a,6451,a(flip),b,6526,a),flip(a)]. 6528 a(x \ 1,x,y \ 1) = a(y,x \ 1,x). [para(4893(a,1),6527(a,1,1)),flip(a)]. 6529 K(x,y / ((z \ 1) * u)) != w | K(x,y / ((1 / z) * u)) = w. [para(76(a,1),6486(a,1,2,2,1,1))]. 6530 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4767(a,1),6077(a,1))]. 6531 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1841,a,4815,a),flip(a)]. 6532 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5729(a,1),5949(a,1,1,2)),flip(a)]. 6533 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [hyper(286,a,202,a(flip),b,6127,a),flip(a)]. 6535 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(544(a,1),6240(a,1,1,1)),flip(a)]. 6536 (1 / (1 / x)) / (y * z) = x / (((y \ 1) \ 1) * z). [para(4712(a,1),6263(a,1,2)),flip(a)]. 6537 (1 / (1 / x)) / (y * (T(y,z) \ 1)) = x / (T(y,z) \ ((y \ 1) \ 1)). [para(1623(a,1),6536(a,2,2))]. 6538 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(781(a,1),6270(a,1,1,1))]. 6539 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(76(a,1),6286(a,2,1,1))]. 6540 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),6539(a,1,2,2)),flip(a)]. 6542 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(116,a,6540,a,b,xx)]. 6543 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(115,a,6540,a,b,108,a)]. 6546 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2932(a,1),6287(a,2,1))]. 6548 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),6546(a,1,2,2)),flip(a)]. 6549 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(22(a,2),6546(a,1,2,2))]. 6551 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6548(a,2),235(a,1,2))]. 6552 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5835,a,6551,a),flip(a)]. 6553 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5846(a,1),6552(a,1,1)),flip(a)]. 6554 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [hyper(33,a,6516,a,b,6553,a),flip(a)]. 6556 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(4671(a,2),6554(a,1,2))]. 6557 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5704(a,2),6291(a,1,2))]. 6558 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6128(a,1),6291(a,1,2)),flip(a)]. 6559 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(4033(a,1),6333(a,1,2))]. 6560 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(4033(a,1),6334(a,1,2))]. 6561 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(327,a,6362,a)]. 6562 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(62,a,6243,a,b,6364,a)]. 6563 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(4885(a,2),6364(a,1,1,1,1))]. 6564 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4779(a,1),6531(a,1,2)),flip(a)]. 6565 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(286,a,4809,a(flip),b,6564,a),flip(a)]. 6566 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(10(a,1),6565(a,1,1,1)),flip(a)]. 6567 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(5864,a,6532,a)]. 6568 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(121,a,6557,a)]. 6569 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6557(a,1),42(a,1))]. 6570 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6558(a,2),42(a,1))]. 6571 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(10(a,1),6563(a,2,2,2,1))]. 6572 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(6567(a,1),227(a,1,1)),flip(b)]. 6573 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1120(a,1),6567(a,1,1,2))]. 6574 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(6567(a,1),448(a,1,1)),flip(a)]. 6575 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6567(a,1),5854(a,1,2))]. 6576 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5851,a,6573,a),flip(a)]. 6577 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5846(a,1),6573(a,1,2,2)),flip(a)]. 6578 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(115,a,68,a(flip),b,6576,a),flip(a)]. 6579 (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,6578,a,b,1564,a)]. 6581 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6568(a,1),4475(a,1,1))]. 6582 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),6581(a,1,1,2,1)),flip(a)]. 6583 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6582(a,2),43(a,1))]. 6584 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(62,a,4558,a(flip),b,5710,a)]. 6585 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4642(a,1),6584(a,1,2)),flip(a)]. 6586 R(x,K(y \ 1,z),z) = x. [hyper(2817,a,6585,a)]. 6587 R(x,K(y,z),z) = x. [para(76(a,1),6586(a,1,2,1))]. 6588 R(x,K(y,z),z) != u | x = u. [para(6587(a,1),50(a,2))]. 6589 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6587(a,1),2814(a,1,1)),flip(a)]. 6590 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(121,a,6589,a)]. 6591 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(684,a,6590,a)]. 6592 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(6590(a,1),232(a,1,2)),flip(b)]. 6593 L(x,K(y,x),z) = x. [para(2786(a,1),6591(a,1,1))]. 6594 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6593(a,1),432(a,1,2,1))]. 6595 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6593(a,1),433(a,1,2,1))]. 6596 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6593(a,1),434(a,1,2,1))]. 6601 R(x,K(y,z),T(z,u)) = x. [hyper(471,a,6594,a)]. 6602 (x * K(y,z)) * T(z,y) = x * z. [para(4630(a,1),6594(a,2,2))]. 6603 (x / T(y,z)) * y = x * K(z,y). [hyper(1188,a,6602,a)]. 6604 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(121,a,6602,a)]. 6605 (x / y) * K(z,y) = x / T(y,z). [hyper(116,a,12,a(flip),b,6602,a),flip(a)]. 6606 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(115,a,10,a(flip),b,6602,a)]. 6608 (x \ y) * K(y,x) = x \ T(y,x). [hyper(34,a,4167,a,b,6602,a),flip(a)]. 6610 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,1169,a(flip),b,6602,a),flip(a)]. 6612 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(216,a,6603,a,b,10,a)]. 6613 (x * K(y,z)) / z = x / T(z,y). [hyper(127,a,6603,a)]. 6615 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3893(a,1),6603(a,1,1))]. 6618 (x / y) * K(x,y) = T(x,y) / y. [hyper(286,a,3926,a,b,6605,a),flip(a)]. 6619 T(x / y,K(x,y)) = x / y. [hyper(216,a,6605,a,b,5892,a)]. 6620 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(115,a,6605,a(flip),b,6044,a(flip)),flip(a)]. 6623 x \ T(x * y,x) = y * K(x * y,x). [para(9(a,1),6608(a,1,1)),flip(a)]. 6624 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(115,a,10,a(flip),b,6610,a)]. 6625 x * K(y,z) != u * z | u * T(z,y) = x. [para(6610(a,1),43(a,1)),flip(a)]. 6626 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(109(a,1),6610(a,1,1,2))]. 6627 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(6610(a,1),301(a,1,2)),flip(b)]. 6628 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6610(a,1),466(a,1,2)),flip(a)]. 6630 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(110(a,1),6613(a,2,2))]. 6631 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6613(a,1),4073(a,1,1,2))]. 6632 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(6613(a,1),4074(a,1,1,1,2))]. 6633 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6230,a,6618,a)]. 6636 x * (y * K(x * y,x)) = T(x * y,x). [hyper(131,a,6623,a)]. 6637 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6623(a,2),4761(a,1,1))]. 6639 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(824(a,1),6624(a,1,1))]. 6640 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(805(a,1),6624(a,1,1))]. 6641 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1306(a,1),6624(a,1,1))]. 6642 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1496(a,1),6624(a,1,1))]. 6643 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1962(a,1),6624(a,1,1))]. 6644 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(10(a,1),6627(a,1,2))]. 6646 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(34,a,4161,a,b,6626,a),flip(a)]. 6648 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(3056(a,1),6630(a,1,1))]. 6649 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(12(a,1),6639(a,1,1,2,1)),flip(a)]. 6650 K(x,((y \ z) \ 1) \ y) = (T(z,x) / (y \ z)) \ y. [para(4461(a,1),6639(a,1,1)),flip(a)]. 6651 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(805(a,1),6644(a,1,1))]. 6652 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5942(a,1),6633(a,1,2))]. 6653 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(6652(a,1),550(a,1,2))]. 6654 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(110(a,2),6648(a,1,1))]. 6656 R(x,K(y,z),L(z,u,w)) = x. [hyper(471,a,6596,a)]. 6657 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(805(a,1),6640(a,1,1,2))]. 6658 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1481(a,1),6640(a,1,1,2))]. 6659 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(76(a,1),6641(a,1,1,1,2,1))]. 6660 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5729(a,1),6643(a,1,1,1)),flip(a)]. 6661 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(131,a,6660,a(flip))]. 6662 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5846(a,1),5792(a,1,2,2)),flip(a)]. 6665 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(6348(a,2),6346(a,1))]. 6666 ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). [hyper(62,a,6417,a,b,6397,a)]. 6667 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3991(a,1),6566(a,1,1)),flip(a)]. 6668 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(286,a,3674,a(flip),b,6667,a),flip(a)]. 6669 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1256(a,1),6651(a,1,1,2))]. 6670 ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). [para(6403(a,1),6666(a,1,1,2,2))]. 6671 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(18(a,2),6670(a,1,1)),flip(a)]. 6672 R(x,y \ 1,z \ 1) \ 1 = L(x \ 1,y,z). [hyper(4906,a,6671,a(flip))]. 6673 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [para(6671(a,1),3564(a,1,2,2))]. 6674 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(195(a,1),6673(a,1,2,2,1))]. 6675 x \ (1 / ((y * x) \ y)) = (1 / ((y * x) \ y)) / x. [para(6674(a,1),4422(a,1,2)),flip(a)]. 6676 L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ 1. [para(4344(a,1),6672(a,1,1)),flip(a)]. 6677 L(x \ 1,y \ 1,z) = R(x,y,z \ 1) \ 1. [para(4893(a,1),6672(a,1,1,2)),flip(a)]. 6678 L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. [para(4893(a,1),6676(a,2,1,2))]. 6679 (x * L(y \ 1,z,u \ 1)) \ 1 = R(y,z \ 1,u) * (x \ 1). [para(6676(a,2),6403(a,1,1,2))]. 6680 (L(x \ 1,y,z \ 1) * u) \ 1 = (u \ 1) * R(x,y \ 1,z). [para(6676(a,2),6404(a,1,1,1))]. 6681 R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1. [hyper(3419,a,6677,a),flip(a)]. 6683 L(x \ 1,y \ 1,z) != u \ 1 | R(x,y,z \ 1) = u. [para(6677(a,2),47(a,1))]. 6684 R(x,y,K(z,y \ 1)) = x. [hyper(4085,a,6678,a),flip(a)]. 6685 R(x,(y \ 1) \ 1,z) = R(x,y,z). [hyper(38,a,6676,a(flip),b,6678,a(flip))]. 6686 L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. [para(4893(a,1),6678(a,1,1))]. 6688 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6684(a,1),104(a,1,1)),flip(a)]. 6689 R(x,y,K(z,y)) = x. [para(6455(a,1),6684(a,1,3))]. 6690 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6689(a,1),104(a,1,1)),flip(a)]. 6692 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(6685(a,1),104(a,1,1))]. 6694 L(K(x,y),y,z) = K(x,y). [hyper(435,a,6690,a)]. 6695 (x * y) * K(z,y) = x * ((z * y) / z). [para(4636(a,2),6690(a,2,2))]. 6696 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4672(a,1),6690(a,2,2))]. 6697 L(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(286,a,5964,a,b,6694,a),flip(a)]. 6699 a(x,y,K(z,y)) = 1. [hyper(52,a,6694,a)]. 6700 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6694(a,1),30(a,1,1)),flip(a)]. 6701 a(x,y \ 1,K(z,y)) = 1. [para(6455(a,1),6699(a,1,3))]. 6702 L(K(x,y),y \ 1,z) = K(x,y). [hyper(51,a,6701,a)]. 6703 (x * ((y \ 1) * K(z,y))) * 1 = (x * (y \ 1)) * K(z,y). [para(6701(a,1),81(a,1,2))]. 6708 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(512,a,6695,a)]. 6710 (((x \ 1) * y) * (z \ 1)) / (y * (z \ 1)) = L(x,y \ 1,z) \ 1. [hyper(62,a,20,a(flip),b,6681,a)]. 6711 x * R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ x. [para(6681(a,2),1237(a,1,2))]. 6712 x * R(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(6681(a,2),1248(a,1,2))]. 6713 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(295,a,6696,a),flip(a)]. 6716 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(286,a,2057,a(flip),b,6708,a)]. 6717 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(33,a,5957,a,b,6708,a)]. 6718 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(33,a,5898,a,b,6708,a)]. 6719 K(x,(y * z) \ y) = K(x,z \ 1). [para(9(a,1),6717(a,1,2,1)),flip(a)]. 6720 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),6717(a,2,2))]. 6721 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),6717(a,1,2,1)),flip(a)]. 6722 K(x,y \ (y / z)) = K(x,z \ 1). [para(76(a,1),6717(a,1,2,1)),flip(a)]. 6723 K(x,(((y * z) \ y) \ u) \ 1) = K(x,u \ L(z \ 1,z,y)). [para(355(a,1),6717(a,1,2,1))]. 6724 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(717(a,1),6717(a,1,2,1)),flip(a)]. 6727 K(x,(y \ T(z,y)) \ 1) = K(x,z \ T(y,z)). [para(3928(a,1),6717(a,1,2,1))]. 6728 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(6717(a,1),4659(a,2,2))]. 6729 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5839(a,1),6717(a,1,2,1))]. 6730 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5839(a,1),6717(a,2,2))]. 6731 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6717(a,1),5942(a,1,1))]. 6732 K(x,y / z) * y = y * K(x,z \ y). [para(6717(a,1),6295(a,1,2)),flip(a)]. 6734 R(x,y \ z,K(u,z \ y)) = x. [para(6717(a,1),6684(a,1,3))]. 6735 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6734(a,1),459(a,1,1))]. 6736 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),6718(a,1,2,2)),flip(a)]. 6737 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6718(a,1),5757(a,1))]. 6740 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(6719(a,1),4856(a,1,2)),flip(a)]. 6741 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(286,a,6694,a,b,6720,a)]. 6743 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(286,a,5968,a,b,6722,a),flip(a)]. 6745 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(4730,a,6728,a),flip(a)]. 6747 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6728(a,2),4663(a,1))]. 6748 T(x,1 / (y \ z)) = T(x,z \ y). [hyper(6083,a,6745,a)]. 6750 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [hyper(286,a,4629,a(flip),b,6745,a),flip(a)]. 6752 T((x * y) \ z,(x \ z) \ y) = (x * y) \ z. [hyper(62,a,6378,a(flip),b,6745,a),flip(a)]. 6753 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),6745(a,1,2,1)),flip(a)]. 6754 T(x,((y * z) \ y) \ 1) = T(x,z). [para(9(a,1),6745(a,2,2))]. 6756 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),6745(a,1,2,1))]. 6757 T(x,x \ y) / (y \ x) = x * (y / x). [para(6745(a,1),3684(a,1,1))]. 6758 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6745(a,1),4066(a,1,1))]. 6759 T(x,y \ (y / z)) = T(x,1 / z). [para(76(a,1),6748(a,1,2,2)),flip(a)]. 6760 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(640,a,6753,a),flip(a)]. 6761 T(K(x,y),(z * y) \ z) = K(x,y). [hyper(286,a,2230,a(flip),b,6753,a),flip(a)]. 6762 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2598(a,2),6753(a,1,2))]. 6765 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6754(a,1),3069(a,1,2))]. 6766 T(x,(x / y) / x) = T(x,1 / y). [hyper(62,a,3932,a(flip),b,6759,a)]. 6767 T(K(x,y / z),y) = K(x,z \ y). [hyper(216,a,6732,a,b,xx)]. 6769 (x * y) \ ((x * K(z,u \ x)) * y) = R(T(K(z,x / u),x * y),x,y). [para(6732(a,1),588(a,1,2,1))]. 6770 K(x,y \ x) = K(x,x / y). [hyper(6489,a,6767,a),flip(a)]. 6771 K(x,(y \ z) \ z) = T(K(x,y),z). [para(73(a,1),6767(a,1,1,2)),flip(a)]. 6773 K(x,(y \ x) \ x) = K(x,y). [para(73(a,1),6770(a,2,2))]. 6774 K(x * y,T(y,x)) = K(x * y,y). [para(3948(a,2),6773(a,1,2))]. 6775 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(62,a,1723,a,b,6771,a)]. 6776 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6771(a,1),2955(a,1,2,1))]. 6777 T(K(x,y),z * y) = K(x,T(y,z)). [para(3948(a,2),6771(a,1,2)),flip(a)]. 6778 T(K(x,y),y * z) = K(x,T(y,z)). [para(9(a,1),6775(a,1,2,2)),flip(a)]. 6779 K(x * y,T(x,y)) = K(x * y,x). [hyper(62,a,4485,a(flip),b,6777,a),flip(a)]. 6780 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6778(a,1),108(a,1,2))]. 6781 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5977(a,2),6743(a,2,2))]. 6782 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4696,a,6750,a)]. 6785 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(6665,a,6782,a)]. 6786 K(1 / (x \ y),z) = K(y \ x,z). [hyper(6487,a,6782,a)]. 6787 K(x \ y,z \ 1) = K(y \ x,z). [hyper(6476,a,6782,a)]. 6788 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(286,a,631,a(flip),b,6782,a),flip(a)]. 6789 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(62,a,6134,a,b,6782,a)]. 6790 K((x * y) \ x,z) = K(y \ 1,z). [para(9(a,1),6782(a,1,1,1)),flip(a)]. 6791 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(22(a,2),6782(a,1,1,1))]. 6792 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(94(a,2),6782(a,1,1,1))]. 6795 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5839(a,1),6782(a,1,1,1))]. 6796 x * T(x \ y,z) = y * K(x \ y,z). [para(6782(a,1),5704(a,2,2))]. 6797 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6782(a,1),6246(a,1,1)),flip(a)]. 6798 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6782(a,1),6126(a,2,2))]. 6799 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6782(a,1),6279(a,1,2,2))]. 6800 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6782(a,1),6131(a,1,2))]. 6801 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6782(a,1),6345(a,1,2))]. 6802 K(x \ y,z \ 1) != u | K(y \ x,z) = u. [para(6782(a,1),6456(a,1))]. 6803 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6782(a,1),6533(a,1,2))]. 6804 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(286,a,631,a(flip),b,6786,a),flip(a)]. 6806 K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). [para(6786(a,1),6250(a,1,1)),flip(a)]. 6809 K(L(x \ 1,x,y) \ 1,z) = K(x,z). [para(195(a,2),6788(a,1,1,1))]. 6811 (x * y) * K(y,z) = x * T(y,z). [para(6788(a,1),6135(a,1,2))]. 6814 K((x * y) \ x,z) != u | K(y,z \ 1) = u. [para(6790(a,2),6476(a,1))]. 6815 K((x * y) \ x,z) != u | K(1 / y,z) = u. [para(6790(a,2),6487(a,1))]. 6816 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6804(a,1),4659(a,2,2)),flip(a)]. 6819 R(x,y,K(y,z)) = x. [hyper(4733,a,6811,a)]. 6820 L(K(x,y),x,z) = K(x,y). [hyper(4732,a,6811,a)]. 6821 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(518,a,6811,a)]. 6822 (x / y) * T(y,z) = x * K(y,z). [hyper(295,a,6811,a),flip(a)]. 6823 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(121,a,6811,a)]. 6825 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(6811(a,1),304(a,1,2))]. 6826 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(6811(a,1),295(a,1))]. 6829 L(K(x,y),z * x,u / (z * T(x,y))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [para(6811(a,1),97(a,1,3,2))]. 6831 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6811(a,1),492(a,1,2))]. 6833 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4605(a,1),6811(a,1,1)),flip(a)]. 6834 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6811(a,1),6589(a,1,1)),flip(a)]. 6835 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6811(a,1),6602(a,1,1))]. 6839 R(x,y,K(y,z)) != u | u = x. [para(6819(a,1),50(a,1)),flip(a)]. 6844 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(286,a,4781,a,b,6820,a),flip(a)]. 6845 a(x,y,K(y,z)) = 1. [hyper(52,a,6820,a)]. 6847 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6820(a,1),502(a,1,2,1))]. 6848 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(6820(a,1),1161(a,1,2,2)),flip(a)]. 6851 a(x,y \ 1,K(y,z)) = 1. [para(6455(a,1),6845(a,1,3))]. 6852 a(x,y,K(y \ 1,z)) = 1. [para(6458(a,2),6845(a,1,3))]. 6853 L(K(x,y),x \ 1,z) = K(x,y). [hyper(51,a,6851,a)]. 6854 L(K(x,y),x,z) != u | K(x,y) = u. [para(6844(a,2),4783(a,1))]. 6856 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(6853(a,1),92(a,1,2))]. 6857 L(K(x,y),1 / x,z) = K(x,y). [para(4885(a,1),6853(a,1,2))]. 6858 L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(2586(a,2),6857(a,1,2))]. 6859 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6821(a,1),874(a,1,1,2)),flip(a)]. 6860 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6821(a,1),6124(a,1,2))]. 6861 (x / T(y,z)) * K(y,z) = x / y. [hyper(62,a,1179,a(flip),b,6822,a),flip(a)]. 6863 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6822(a,1),301(a,1,2)),flip(b)]. 6864 (x * K(y,z)) * y = x * T(y,z). [para(6822(a,1),1173(a,1,1))]. 6865 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6822(a,1),1178(a,1,1))]. 6866 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(6822(a,1),1191(a,1,1))]. 6867 K(x / y,z) * (x * K(y,u)) != w | T(x / y,z) * T(y,u) = w. [para(6822(a,1),5938(a,1,2))]. 6868 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6823(a,1),232(a,1,2)),flip(b)]. 6872 L(x \ T(x,y),x,z) != u | K(x,y) = u. [para(4614(a,1),6854(a,1,1))]. 6875 (((T(x,y) * z) \ 1) * K(x,y)) * x = L(z,T(x,y),T(x,y) \ 1) \ 1. [hyper(286,a,6418,a,b,6864,a),flip(a)]. 6876 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(286,a,2794,a,b,6864,a),flip(a)]. 6877 ((x * (T(y,z) \ 1)) * K(y,z)) * y = R(x,T(y,z) \ 1,T(y,z)). [hyper(286,a,4912,a(flip),b,6864,a),flip(a)]. 6879 (1 / x) * K(x,y) = K(x,y) / x. [hyper(116,a,4658,a,b,6864,a),flip(a)]. 6882 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(115,a,6822,a(flip),b,6864,a)]. 6883 (x * K(y,z)) * K(z,y) = x. [hyper(34,a,6602,a(flip),b,6864,a),flip(a)]. 6884 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6864(a,1),14(a,2,1,2)),flip(a)]. 6887 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6864(a,1),195(a,2,1))]. 6888 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6864(a,1),304(a,1,2))]. 6889 R(T(x * K(y,z),y * u),y,u) = (y * u) \ ((x * T(y,z)) * u). [para(6864(a,1),588(a,1,2,1)),flip(a)]. 6890 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6690(a,1),6864(a,1,1))]. 6891 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6696(a,1),6864(a,1,1)),flip(a)]. 6892 x / K(y,z) = x * K(z,y). [hyper(295,a,6883,a),flip(a)]. 6894 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(216,a,6883,a,b,5846,a)]. 6895 (x * K(y,z)) \ x = K(z,y). [hyper(121,a,6883,a)]. 6897 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(34,a,2093,a,b,6883,a),flip(a)]. 6898 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6883(a,1),18(a,2,2,2))]. 6899 x * K(y,z) != u | u * K(z,y) = x. [para(6883(a,1),43(a,1)),flip(a)]. 6901 x / K(y,z) != u | x * K(z,y) = u. [para(6883(a,1),227(a,1,1)),flip(b)]. 6902 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6883(a,1),301(a,1,2)),flip(b)]. 6904 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6883(a,1),92(a,1,1))]. 6905 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(6883(a,1),105(a,2,1))]. 6907 (x * K(y,z)) * (K(z,y) * u) != x * w | L(u,K(z,y),x * K(y,z)) = w. [para(6883(a,1),435(a,1,1)),flip(a)]. 6908 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6883(a,1),655(a,1,1,2))]. 6909 (x * K(y,z)) * K(z,y) != u | x = u. [para(6892(a,1),228(a,1))]. 6911 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6892(a,1),478(a,1,1))]. 6912 R((x / y) * K(y,z),K(z,y),y) = x / (y * K(z,y)). [para(6892(a,1),2815(a,1,1))]. 6914 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6892(a,1),5967(a,2,2))]. 6915 K(x,(y * z) \ y) = (u * K(z \ 1,x)) \ u. [hyper(286,a,6719,a,b,6895,a)]. 6916 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(38,a,6650,a(flip),b,6895,a)]. 6917 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6895(a,2),5839(a,1,1))]. 6918 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(6080(a,1),6895(a,1,1))]. 6919 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(6608(a,1),6895(a,1,1)),flip(a)]. 6920 L(x,K(x,y),z) = x. [hyper(4746,a,6865,a)]. 6922 L(T(x,y),K(x,z),u) = T(x,y). [para(6920(a,1),25(a,2,1))]. 6923 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6920(a,1),434(a,1,2,1))]. 6925 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6920(a,1),4551(a,1,1,2)),flip(a)]. 6928 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6922(a,1),30(a,1,1)),flip(a)]. 6929 L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,z) = K(x,z). [hyper(4641,a,6809,a)]. 6931 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(6090(a,1),6902(a,1,1))]. 6932 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(6098(a,1),6902(a,1,1))]. 6934 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6861(a,1),6909(a,1,1))]. 6935 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(129,a,6757,a)]. 6936 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(11(a,1),6757(a,2,2))]. 6937 T(x,y / x) / (y \ x) = x * (y / x). [para(3932(a,1),6757(a,1,1))]. 6938 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(286,a,355,a,b,6760,a)]. 6939 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(62,a,6351,a(flip),b,6791,a),flip(a)]. 6940 T(K(x / y,z),x) = K(y \ x,z). [hyper(5950,a,6796,a)]. 6941 K(x / y,z) * x = x * K(y \ x,z). [hyper(62,a,4640,a,b,6796,a)]. 6945 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6796(a,2),301(a,1,2)),flip(b)]. 6947 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6796(a,2),93(a,1,2,2)),flip(a)]. 6948 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6796(a,1),880(a,1,1))]. 6949 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6796(a,1),1754(a,2,1))]. 6951 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6796(a,1),6651(a,1,1,2))]. 6952 K(x \ y,y) = K(y / x,y). [hyper(62,a,2784,a(flip),b,6940,a),flip(a)]. 6954 K(x * (1 / y),x) = K(x / y,x). [hyper(62,a,6428,a,b,6952,a)]. 6955 K((x \ y) \ y,y) = K(x,y). [para(73(a,1),6952(a,2,1))]. 6957 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(115,a,92,a(flip),b,6835,a)]. 6958 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6835(a,1),3974(a,1,2))]. 6959 T((x / y) * K(y,z),y) = y \ (x * K(y,z)). [para(6822(a,1),6866(a,2,2))]. 6961 (x \ 1) * T(x,y) != z | K(x,y) = z. [para(4914(a,1),6872(a,1))]. 6964 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(286,a,5897,a,b,6937,a),flip(a)]. 6965 K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y). [hyper(34,a,2795,a(flip),b,6941,a)]. 6967 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6741(a,1),335(a,1)),flip(b)]. 6969 T(x,L(y,y \ 1,z)) = T(x,y). [para(76(a,1),6762(a,2,2))]. 6970 T(x,y) * (x \ z) = z * K((z \ (x \ z)) \ 1,L(y,y \ 1,u)). [para(6969(a,1),6129(a,1,1))]. 6971 K(K(x,y) * z,u \ 1) != w | K(z \ K(y,x),u) = w. [para(5839(a,1),6802(a,1,1))]. 6972 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(6458(a,2),6802(a,1))]. 6974 R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. [para(20(a,2),6826(a,1,1))]. 6975 (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. [para(6613(a,1),6826(a,1,1))]. 6977 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(174(a,1),6934(a,1,1))]. 6978 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(182,a,6938,a)]. 6979 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(10(a,1),6967(a,1,2,1,1))]. 6980 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5846(a,1),6967(a,1,2,1,1))]. 6981 L(K(x,y),y,z) != u | K(x,y) = u. [para(6741(a,2),6967(a,1))]. 6982 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(94(a,2),6972(a,1,1,1))]. 6983 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(2930(a,1),6972(a,1))]. 6985 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5839(a,1),6972(a,1,1,1))]. 6987 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4509(a,1),6978(a,1,2))]. 6989 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(22(a,2),6979(a,1,2,1))]. 6990 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(94(a,2),6979(a,1,2,1))]. 6992 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3318(a,1),6979(a,1))]. 6993 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5839(a,1),6979(a,1,2,1))]. 6999 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [hyper(3568,a,6712,a)]. 7000 x \ (y * R(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). [hyper(62,a,1630,a(flip),b,6712,a)]. 7001 a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. [para(6712(a,1),3568(a,1))]. 7002 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [para(4893(a,1),6999(a,1,1)),flip(a)]. 7005 K(x,y \ T(z,y)) != u | K(x,T(y,z) \ z) = u. [para(6727(a,1),6979(a,1))]. 7006 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(286,a,6020,a(flip),b,6780,a),flip(a)]. 7007 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6795(a,1),6349(a,2,1))]. 7008 K((x \ 1) \ y,y) = K(x * y,y). [hyper(5963,a,6798,a),flip(a)]. 7009 K((x \ 1) \ y,x) = K(x * y,x). [hyper(33,a,6623,a(flip),b,6798,a(flip)),flip(a)]. 7010 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6798(a,1),4476(a,1,1))]. 7011 K(x * y,y) = K(y * x,y). [hyper(62,a,6427,a(flip),b,7008,a),flip(a)]. 7012 K((1 / x) * y,y) = K(x \ y,y). [para(76(a,1),7008(a,1,1,1)),flip(a)]. 7013 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(7008(a,1),4659(a,2,2)),flip(a)]. 7014 T(x * K(x * y,x),y) = R(x,y,x). [para(7011(a,1),4819(a,1,1,2))]. 7015 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(7011(a,2),5942(a,1,2))]. 7016 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(7011(a,2),6080(a,1,1))]. 7017 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(7011(a,1),5987(a,1,2,1,2))]. 7018 K((1 / x) \ y,x) = K(x * y,x). [hyper(62,a,5812,a(flip),b,7009,a)]. 7019 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(7014(a,1),23(a,1,1)),flip(a)]. 7020 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6864(a,1),7015(a,1,2,1))]. 7021 x \ R(x,y,x) != z | K(x,y) * K(y * x,x) = z. [para(7016(a,1),2098(a,1))]. 7022 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6834(a,1),5773(a,1,1))]. 7023 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(6625,a,6876,a(flip))]. 7024 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(116,a,6890,a(flip),b,104,a)]. 7025 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6890(a,1),4839(a,1,2))]. 7026 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(6915(a,2),6902(a,1))]. 7027 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(235(a,1),7026(a,1,2,1))]. 7028 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(22(a,2),6936(a,1,1,2))]. 7029 T(x,y) / ((y * x) \ x) = x * y. [para(3913(a,1),7028(a,1,1))]. 7030 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(310,a,7029,a),flip(a)]. 7031 (x * y) \ T(x,y) = (y * x) \ x. [hyper(175,a,7029,a)]. 7032 T(x,y) = (x * y) * ((y * x) \ x). [hyper(129,a,7029,a),flip(a)]. 7033 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(62,a,4264,a,b,7031,a)]. 7035 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7033(a,1),1938(a,1,2)),flip(a)]. 7036 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6697(a,1),335(a,1)),flip(b)]. 7038 K(x,(y \ 1) \ z) != u | K(x,y / (z \ 1)) = u. [para(6425(a,1),7036(a,1,2))]. 7039 K(x,(y \ 1) \ (z \ 1)) != u | K(x,y / z) = u. [para(6431(a,2),7036(a,1,2))]. 7040 K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. [para(6719(a,2),7036(a,1))]. 7043 L(x * y,K(y * x,z),u) = x * y. [para(9(a,1),6925(a,2,1))]. 7044 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(7043(a,1),92(a,1,2))]. 7045 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6928(a,1),261(a,1,2))]. 7047 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(805(a,1),6945(a,1,2))]. 7048 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1256(a,1),6945(a,1,2))]. 7050 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(286,a,27,a,b,7019,a),flip(a)]. 7051 ((x \ 1) \ y) * R(((x \ 1) \ y) \ 1,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(445(a,1),6711(a,2,1))]. 7052 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6972,a,6785,a),flip(a)]. 7053 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4576(a,2),6789(a,1,2))]. 7054 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6899,a,6800,a)]. 7056 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(33,a,6801,a,b,6803,a),flip(a)]. 7057 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(7056(a,1),4794(a,1,2))]. 7058 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4797,a,7057,a),flip(a)]. 7059 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4494,a,6833,a(flip))]. 7060 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(3233(a,1),6856(a,2,2))]. 7061 (x * K(y \ 1,z)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). [para(6864(a,1),7060(a,1,1)),flip(a)]. 7063 R(x,y \ z,(y \ z) \ z) = ((x * (z / y)) * y) / z. [para(6891(a,1),664(a,1,1)),flip(a)]. 7064 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6164(a,2),6916(a,2,2))]. 7065 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(6061,a,6948,a)]. 7066 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(7054(a,1),6909(a,1,1))]. 7067 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(383(a,2),6736(a,1,2))]. 7068 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(62,a,6797,a(flip),b,6792,a)]. 7069 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(10(a,1),7068(a,2,1,1))]. 7070 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(10(a,1),7068(a,2,1,2))]. 7071 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(76(a,1),7068(a,1,1,1)),flip(a)]. 7072 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(108(a,1),7068(a,2,1,2))]. 7073 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(94(a,2),7068(a,2,1))]. 7074 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5846(a,1),7068(a,2,1,1))]. 7075 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7009(a,1),7068(a,1,1))]. 7076 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1722(a,2),7073(a,2,1))]. 7077 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3006(a,1),7073(a,2,1))]. 7078 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6981,a,7069,a)]. 7080 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7069(a,1),6981(a,1))]. 7081 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(96(a,2),7071(a,1,1))]. 7082 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(286,a,18,a(flip),b,7081,a),flip(a)]. 7083 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),7081(a,1,1,2)),flip(a)]. 7084 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7081(a,1),4781(a,1,1)),flip(a)]. 7085 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4905(a,2),7081(a,1,1,2))]. 7086 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6981,a,7083,a),flip(a)]. 7087 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7083(a,1),496(a,1,2))]. 7088 K(L(x,y,z),y * x) = K(x,x * y). [hyper(286,a,5991,a(flip),b,7086,a),flip(a)]. 7089 K((1 / x) * y,y) != z | K(x \ y,y) = z. [para(7077(a,1),6981(a,1))]. 7090 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(7011(a,1),7089(a,1))]. 7092 K(x / y,x) != z | K(y \ x,x) = z. [para(6954(a,1),7090(a,1))]. 7093 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6901,a,7087,a)]. 7094 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7093(a,1),42(a,1)),flip(a)]. 7095 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(6825,a,4773,a)]. 7096 x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(4773(a,1),6825(a,1))]. 7097 (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). [hyper(286,a,6811,a,b,7095,a)]. 7098 T(T(x,y) * y,K(y,z)) = T(x,T(y,z)) * y. [hyper(286,a,213,a(flip),b,7095,a),flip(a)]. 7099 T(x * y,K(y,z)) != u | y * T(x,T(y,z)) = u. [para(7097(a,1),6868(a,1))]. 7100 (x * y) * K(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(6811(a,2),7096(a,1))]. 7101 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(62,a,6601,a(flip),b,6911,a),flip(a)]. 7102 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(899(a,2),6911(a,2,2))]. 7103 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5719(a,1),7101(a,1,2)),flip(a)]. 7104 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5720(a,1),7101(a,1,2)),flip(a)]. 7105 (x * y) / R(x,y,x) = y * K(x,x * y). [para(174(a,1),7104(a,1,1)),flip(a)]. 7106 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7104(a,1),6864(a,1,1)),flip(a)]. 7107 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(6588,a,6912,a),flip(a)]. 7109 (x * y) / (y * K(z,y)) = x * K(y,z). [para(11(a,1),7107(a,2,1))]. 7111 x / ((y * z) / y) = (x / z) * K(z,y). [para(4636(a,2),7107(a,1,2))]. 7112 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4672(a,1),7107(a,1,2)),flip(a)]. 7113 x / (y * K(z,y \ 1)) = (x / y) * K(y,z \ 1). [para(6458(a,1),7107(a,1,2,2))]. 7114 (x * y) / ((z * y) / z) = x * K(y,z). [para(4636(a,2),7109(a,1,2))]. 7116 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(6589(a,1),7109(a,1,1))]. 7117 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6899,a,7111,a(flip))]. 7119 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(62,a,1313,a(flip),b,7114,a)]. 7121 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(10(a,1),7117(a,1,1,2,1))]. 7122 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7117(a,1),847(a,2,1,2))]. 7123 (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(7117(a,1),4473(a,1,2,1))]. 7125 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4054(a,1),7119(a,1,1,2))]. 7130 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6613(a,1),7125(a,1,1)),flip(a)]. 7131 x / (T(y \ 1,z) \ 1) = (x / y) * K(y,z \ 1). [para(5712(a,2),7113(a,1,2))]. 7132 L(K(x,y \ 1),z / x,(z / x) \ 1) \ 1 = ((z / (T(x \ 1,y) \ 1)) \ 1) * (z / x). [para(7131(a,2),6418(a,2,1,1))]. 7133 x / (T((y \ 1) \ 1,z) \ 1) = (x / (y \ 1)) * K(y,z). [para(6455(a,1),7131(a,2,2))]. 7134 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6958(a,1),655(a,1))]. 7136 R(x,y \ z,(y \ z) \ z) = R(x,z / y,y). [hyper(286,a,106,a(flip),b,7063,a),flip(a)]. 7137 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(62,a,1549,a,b,7136,a)]. 7138 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7070(a,1),425(a,1,2)),flip(a)]. 7139 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7009(a,1),7070(a,1,1))]. 7140 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7082(a,2),439(a,1))]. 7141 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(73(a,1),7140(a,1,1,2))]. 7142 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(94(a,1),7141(a,1,1))]. 7143 K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. [para(454(a,1),7141(a,1,1))]. 7144 (x * (T(y,z) \ 1)) * 1 = (x * (y \ 1)) * K(z,y). [para(4628(a,1),6703(a,1,1,2))]. 7145 (x * (y \ 1)) * K(z,y) = x * (T(y,z) \ 1). [hyper(124,a,7144,a),flip(a)]. 7146 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6899,a,7145,a)]. 7147 (x / (y \ 1)) * (T(y,z) \ 1) = x * K(z,y). [hyper(295,a,7145,a),flip(a)]. 7148 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [hyper(116,a,6193,a(flip),b,7147,a)]. 7149 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2273(a,2),6724(a,1,2))]. 7150 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [hyper(725,a,6929,a),flip(a)]. 7154 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1684(a,1),7150(a,2,2))]. 7155 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(115,a,6949,a(flip),b,6796,a(flip))]. 7156 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(76(a,1),7155(a,1,2,1,2,1)),flip(a)]. 7157 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(286,a,25,a,b,6957,a),flip(a)]. 7158 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,u \ 1)) = a(u,u \ 1,L(z,y,x)). [para(18(a,2),7000(a,2,3))]. 7159 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4710(a,1),7007(a,1,1,1)),flip(a)]. 7160 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(7159(a,1),108(a,1,2)),flip(a)]. 7161 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6159,a,7017,a),flip(a)]. 7162 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(4893(a,1),7133(a,1,2,1,1)),flip(a)]. 7163 x / (T(y,y \ (x / (y \ 1))) \ 1) = y * ((x / (y \ 1)) / y). [hyper(5790,a,7162,a),flip(a)]. 7164 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4635(a,1),7157(a,2,1))]. 7165 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(6692(a,1),43(a,1))]. 7166 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(455(a,2),6721(a,1,2))]. 7167 K(x,y \ L(z \ 1,z,u)) = K(x,y \ ((u * z) \ u)). [hyper(6979,a,6723,a),flip(a)]. 7168 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6887(a,2),4835(a,1))]. 7170 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(6975,a,7106,a)]. 7171 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(76(a,1),6987(a,1,2,2)),flip(a)]. 7172 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(473,a,7022,a),flip(a)]. 7173 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7025(a,1),854(a,1))]. 7174 K((x \ y) \ z,y) = K((y / x) \ z,y). [hyper(7048,a,7053,a)]. 7175 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(7053(a,1),7048(a,1))]. 7176 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(7174(a,2),7070(a,1,1))]. 7178 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(62,a,3421,a(flip),b,7067,a)]. 7179 R(x \ 1,y,z) * R(R(x \ 1,y,z) \ 1,u \ 1,w) = R((L(((x \ 1) \ 1) \ 1,u,w \ 1) * x) \ 1,y,z). [para(6680(a,2),3383(a,2,1))]. 7180 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6766(a,1),6964(a,1,1))]. 7181 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(76(a,1),7180(a,1,2)),flip(a)]. 7183 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6797(a,1),6982(a,1))]. 7184 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(7059(a,1),7044(a,2,2))]. 7185 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(286,a,5846,a(flip),b,7184,a),flip(a)]. 7186 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(34,a,6234,a,b,7185,a)]. 7187 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [hyper(131,a,7186,a)]. 7188 L(x,y \ 1,z) \ 1 != u | R(x \ 1,y,z \ 1) = u. [para(6710(a,1),473(a,1))]. 7189 R(x,T(y,z) \ 1,T(y,z)) = (x * (y \ 1)) * y. [para(7146(a,1),6877(a,1,1)),flip(a)]. 7190 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(286,a,4912,a(flip),b,7189,a),flip(a)]. 7192 a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = x \ R(x,y \ 1,y). [para(7190(a,1),2623(a,2,2))]. 7193 a(x,T(y,z) \ 1,(T(y,z) \ 1) \ 1) = a(x,y \ 1,y). [hyper(286,a,3501,a(flip),b,7192,a),flip(a)]. 7194 a(x,T(y,z) \ 1,T(y,z)) = a(x,y \ 1,y). [hyper(62,a,3513,a(flip),b,7193,a)]. 7196 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6864(a,1),7024(a,1,2))]. 7197 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(473,a,7196,a),flip(a)]. 7198 K((x * (y \ z)) \ u,z) = K((x * (z / y)) \ u,z). [hyper(62,a,7070,a(flip),b,7176,a)]. 7199 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(10(a,1),7198(a,1,1,1)),flip(a)]. 7200 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(73(a,1),7199(a,1,1,1,2))]. 7201 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7200(a,1),6604(a,1,1,2)),flip(a)]. 7202 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(286,a,6604,a(flip),b,7201,a),flip(a)]. 7203 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(7030(a,1),7202(a,1,2))]. 7204 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7203(a,1),240(a,1,2))]. 7205 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(62,a,280,a(flip),b,7204,a)]. 7206 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(62,a,6758,a(flip),b,7205,a),flip(a)]. 7208 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5885(a,1),4754(a,1,2))]. 7209 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(62,a,6181,a(flip),b,6133,a),flip(a)]. 7210 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(286,a,6782,a(flip),b,7209,a),flip(a)]. 7211 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6972,a,7210,a)]. 7212 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7211(a,1),4794(a,1,2)),flip(a)]. 7213 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(286,a,4794,a(flip),b,7212,a),flip(a)]. 7214 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6542(a,1),6141(a,2,1,1))]. 7216 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),6269(a,1,1,2,2,1))]. 7217 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(286,a,5964,a(flip),b,7216,a),flip(a)]. 7218 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(7216(a,2),7036(a,1))]. 7219 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7217(a,1),481(a,1,1))]. 7220 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [hyper(131,a,6375,a)]. 7221 ((x \ (y * x)) \ 1) \ z = K(y \ 1,x \ 1) * ((y \ 1) \ z). [para(6395(a,1),6406(a,1,1))]. 7222 K(x \ 1,y \ 1) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(22(a,2),7221(a,1,1,1)),flip(a)]. 7223 x * T(x \ ((y \ 1) \ x),z) = (T(y,z) \ 1) \ x. [hyper(62,a,6472,a(flip),b,7222,a)]. 7224 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [hyper(262,a,7223,a)]. 7225 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(76(a,1),7224(a,1,1,2,1)),flip(a)]. 7226 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(182,a,7225,a)]. 7228 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(62,a,7206,a,b,7226,a),flip(a)]. 7229 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(7228(a,1),2122(a,1,1))]. 7230 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7030(a,2),7229(a,1,1))]. 7231 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(9(a,1),7230(a,1,1,1,1)),flip(a)]. 7232 L(x / T(y,z),T(y,z),y \ 1) = L(x,y \ 1,y) / T(y,z). [hyper(62,a,6524,a(flip),b,6520,a)]. 7233 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3867(a,1),6535(a,1,1)),flip(a)]. 7234 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6493,a,7233,a)]. 7236 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(76(a,1),7234(a,1,1,2,1)),flip(a)]. 7237 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(101(a,2),7234(a,1,1))]. 7238 R(K(x,y),T(x,z),u) = K(x,y). [para(3815(a,1),7234(a,1,1)),flip(a)]. 7239 (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). [para(7238(a,1),104(a,1,1)),flip(a)]. 7240 K(R(x,x \ 1,y),z) = K(x,z). [hyper(286,a,347,a(flip),b,7237,a),flip(a)]. 7241 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),7237(a,1,1,2)),flip(a)]. 7242 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7237(a,2),104(a,1,1))]. 7243 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5735(a,1),7237(a,1,1,2))]. 7244 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7237(a,1),6895(a,1,1,2)),flip(a)]. 7245 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7241(a,1),31(a,1,1)),flip(a)]. 7246 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),7236(a,2,1,2))]. 7247 L(x,T(y,z),K(y,u)) = x. [hyper(435,a,7239,a)]. 7248 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(62,a,4799,a(flip),b,7247,a)]. 7249 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(6008(a,1),7248(a,1,1))]. 7250 x / (T(y,z) \ ((y \ 1) \ 1)) = (1 / (1 / x)) / K(z,y). [para(4613(a,2),6537(a,1,2)),flip(a)]. 7251 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(286,a,4688,a(flip),b,7250,a),flip(a)]. 7252 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3117(a,1),7251(a,1,2))]. 7253 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(175,a,7252,a)]. 7254 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5739(a,1),6538(a,1,1,1)),flip(a)]. 7255 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(286,a,4460,a,b,7254,a),flip(a)]. 7256 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(7036,a,7255,a)]. 7257 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4232(a,2),7256(a,1,2))]. 7258 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(286,a,7156,a,b,7257,a)]. 7259 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(684,a,6543,a)]. 7260 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7259(a,1),6353(a,1,1,1)),flip(a)]. 7261 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(286,a,6350,a(flip),b,7260,a),flip(a)]. 7262 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(7261(a,1),686(a,1,2,1)),flip(a)]. 7263 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [hyper(116,a,6497,a(flip),b,6571,a(flip))]. 7264 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(115,a,6497,a(flip),b,6571,a(flip))]. 7265 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(6447,a,7263,a)]. 7266 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(7263(a,1),303(a,1,1)),flip(b)]. 7267 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(76(a,1),7264(a,1,1,2))]. 7268 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(76(a,1),7265(a,1,1,2)),flip(a)]. 7269 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(7267(a,2),6649(a,2,1))]. 7270 (T(x,y) / (z \ 1)) \ x = z \ K(y,x). [hyper(286,a,169,a(flip),b,7268,a),flip(a)]. 7271 (T(x / y,y) / (z \ 1)) \ (x / y) = z \ K(y,y \ x). [para(4788(a,2),7270(a,2,2))]. 7272 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(11(a,1),7269(a,1,2,1,1)),flip(a)]. 7273 (1 / x) \ K((x \ y) * x,z) = T(y,z) / (x \ y). [hyper(38,a,6650,a(flip),b,7272,a),flip(a)]. 7274 ((x \ y) / (z \ 1)) \ (y / x) = z \ K(x,x \ y). [para(110(a,1),7271(a,1,1,1))]. 7275 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4576(a,2),6658(a,1,1,2))]. 7276 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6822(a,1),6659(a,1,1,1)),flip(a)]. 7277 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(131,a,7276,a(flip))]. 7278 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(6923(a,1),7276(a,2,1))]. 7279 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7277(a,1),6895(a,1,1)),flip(a)]. 7280 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6882(a,1),7277(a,1,2,2))]. 7281 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(115,a,7280,a(flip),b,104,a)]. 7283 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6883(a,1),7280(a,1,1,1))]. 7284 (x * (K(y,z) * K(z,u))) \ ((x * K(z,u)) * K(y,z)) = a(x,K(y,z),K(z,u)). [hyper(115,a,7283,a,b,81,a)]. 7285 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(116,a,7283,a(flip),b,104,a)]. 7287 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(7283(a,2),6864(a,1,1))]. 7288 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(6592,a,7287,a)]. 7289 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(286,a,6594,a(flip),b,7288,a),flip(a)]. 7290 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2794(a,2),7289(a,2,2))]. 7291 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(73(a,1),7279(a,1,1,1,1)),flip(a)]. 7292 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [hyper(131,a,7291,a)]. 7293 (x * y) \ ((x * K(z \ x,u)) * y) != w | K((z * y) \ (x * y),u) = w. [para(7292(a,1),301(a,1,2)),flip(b)]. 7294 (x * K(y,z \ 1)) * (y \ K(y,u)) = (x * T(y \ 1,z)) * K(y,u). [para(6458(a,1),7061(a,1,1,2))]. 7295 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4675(a,1),7208(a,1,2,2)),flip(a)]. 7296 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(7295(a,2),749(a,1))]. 7297 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6735(a,1),7220(a,1,2))]. 7298 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(62,a,5895,a(flip),b,7297,a),flip(a)]. 7300 T(x,(y \ z) * (z \ y)) = x. [hyper(53,a,7298,a)]. 7303 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),7300(a,1,2,1))]. 7305 (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). [hyper(638,a,7303,a)]. 7306 K(x,y * ((z * y) \ z)) = 1. [hyper(54,a,7303,a)]. 7307 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(53,a,7303,a)]. 7310 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(195(a,2),7307(a,1,1,2))]. 7311 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(62,a,7035,a(flip),b,7310,a)]. 7313 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4362(a,1),4540(a,1,2,2))]. 7314 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4617(a,2),4681(a,1,1,3))]. 7315 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(6050(a,1),7314(a,1,1)),flip(a)]. 7316 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5717(a,2),7315(a,1,2))]. 7318 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4840,a,4824,a)]. 7319 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4824(a,1),706(a,2,1)),flip(a)]. 7320 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5990,a,7319,a)]. 7321 (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(7318(a,1),1840(a,1,1,2)),flip(a)]. 7322 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4826(a,1),862(a,1,1,1))]. 7323 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(824(a,1),5709(a,1,2))]. 7324 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(6041(a,1),6056(a,1,2))]. 7325 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(6414(a,1),6731(a,1,2))]. 7326 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7078(a,1),7325(a,1,2))]. 7327 L(x,T(y,z),T(y,z) \ 1) \ 1 = ((y * x) \ 1) * y. [para(6440(a,1),6875(a,1,1)),flip(a)]. 7329 L(x,T(y,z),y \ 1) \ 1 = ((y * x) \ 1) * y. [para(6524(a,1),7327(a,1,1))]. 7330 L(x,T(y,z),y \ 1) = L(x,y,y \ 1). [hyper(6450,a,7329,a),flip(a)]. 7332 L(x / T(y,z),y,y \ 1) = L(x,y \ 1,y) / T(y,z). [hyper(62,a,7232,a(flip),b,7330,a),flip(a)]. 7335 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6947(a,2),7047(a,1))]. 7336 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3644(a,1),7171(a,2,2))]. 7337 (T(x,y \ 1) / y) \ x = x / (y \ T(x,y \ 1)). [hyper(62,a,3686,a(flip),b,7336,a)]. 7338 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3067(a,1),7337(a,2,2,2))]. 7339 (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3067(a,1),7338(a,1,1,1))]. 7340 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(175,a,7339,a(flip))]. 7341 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(110(a,1),7340(a,1,1,1,1))]. 7342 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(110(a,1),7341(a,2,2))]. 7343 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(7274(a,1),7342(a,1,1))]. 7344 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4180(a,2),7343(a,1,1,2))]. 7345 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2100,a,7285,a),flip(a)]. 7346 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(439,a,7313,a)]. 7347 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4691(a,1),7346(a,1,1)),flip(a)]. 7348 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(6899,a,7347,a)]. 7349 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7348(a,1),4423(a,2,2))]. 7350 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4620(a,2),4686(a,2,2,1,1))]. 7351 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(115,a,4698,a(flip),b,4643,a),flip(a)]. 7352 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4675(a,1),5769(a,1,2)),flip(a)]. 7353 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(286,a,18,a,b,7352,a),flip(a)]. 7354 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(7352(a,2),439(a,1))]. 7355 L(L(x,y,z \ 1),(z \ 1) * y,K(z,u \ 1)) != w | L(x,y,T(z \ 1,u)) = w. [para(6458(a,1),7354(a,1,3))]. 7356 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3314(a,1),6021(a,1,2,2))]. 7357 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4780(a,1),6051(a,1,1))]. 7358 K(x,y \ 1) * (T(x \ 1,z) * u) = T(x \ 1,y) * (K(x,z \ 1) * u). [hyper(62,a,6462,a(flip),b,6473,a)]. 7359 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(76(a,1),6561(a,1,1,1,1,2)),flip(a)]. 7360 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6782(a,1),7359(a,1,2))]. 7361 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(4885(a,2),7360(a,1,2,1,2))]. 7362 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(912(a,1),6562(a,1,1))]. 7363 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4463(a,1),7362(a,1,1)),flip(a)]. 7364 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(108(a,1),6657(a,1,1,2,2))]. 7365 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4571(a,2),7364(a,1,1))]. 7366 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(4885(a,2),7064(a,2,2,1,1,1,1))]. 7367 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4714(a,1),7164(a,1,1,2))]. 7368 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4692(a,1),7367(a,1,2,2))]. 7369 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4500(a,1),7363(a,1,2)),flip(a)]. 7370 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(286,a,4827,a,b,7369,a)]. 7371 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(9(a,1),7370(a,2,2,1)),flip(a)]. 7372 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5839(a,1),7371(a,1,2))]. 7373 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7257(a,2),7372(a,1,1))]. 7374 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(8(a,1),7373(a,1,2))]. 7375 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(286,a,7361,a(flip),b,7366,a),flip(a)]. 7376 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(6453(a,1),7375(a,2,1))]. 7377 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(286,a,4618,a(flip),b,7376,a),flip(a)]. 7379 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7310(a,1),7377(a,2,2))]. 7380 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(62,a,4495,a(flip),b,4504,a),flip(a)]. 7381 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3583(a,2),4508(a,1,1))]. 7382 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5958(a,1),5959(a,2,1))]. 7383 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(34,a,104,a,b,7382,a)]. 7384 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(34,a,3869,a(flip),b,7382,a),flip(a)]. 7385 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),7384(a,1,2,1))]. 7387 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3314(a,1),7383(a,1,1)),flip(a)]. 7388 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5964(a,1),7383(a,1,1)),flip(a)]. 7389 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6717(a,1),7383(a,1,1)),flip(a)]. 7390 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(7387(a,1),4659(a,2,2))]. 7391 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7387(a,1),6241(a,1,1)),flip(a)]. 7392 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3235,a,7391,a)]. 7393 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(566,a,7391,a)]. 7394 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(531,a,7391,a)]. 7395 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(62,a,5909,a(flip),b,7391,a),flip(a)]. 7396 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(7391(a,2),123(a,1)),flip(b)]. 7397 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(562(a,1),7388(a,1,2)),flip(a)]. 7398 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(488(a,1),7385(a,1,2,1)),flip(a)]. 7399 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(62,a,6102,a(flip),b,6025,a)]. 7400 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(266,a,7399,a),flip(a)]. 7401 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6041(a,1),7400(a,2,1))]. 7402 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [hyper(34,a,6024,a,b,7401,a)]. 7403 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4431,a,7402,a),flip(a)]. 7404 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(62,a,6236,a(flip),b,7402,a)]. 7405 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(10(a,1),7402(a,1,2)),flip(a)]. 7406 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(7402(a,1),27(a,2,1))]. 7407 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(108(a,1),7402(a,1,2))]. 7408 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(104(a,1),7402(a,1,2))]. 7409 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4643(a,1),7402(a,1,2))]. 7410 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(62,a,7244,a(flip),b,7405,a)]. 7411 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(101(a,1),7405(a,1,2))]. 7412 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(133,a,7410,a),flip(a)]. 7414 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(76(a,1),7411(a,1,2,2,1)),flip(a)]. 7415 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),7414(a,2,2,1))]. 7416 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),7414(a,2,2,2))]. 7417 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(3589(a,2),7414(a,1,1,2))]. 7418 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(6770(a,2),7416(a,1,1))]. 7419 K(x,(y / z) \ x) = K(x,(x * z) / y). [hyper(4431,a,7418,a)]. 7420 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(286,a,5964,a,b,7418,a),flip(a)]. 7421 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(7418(a,1),4431(a,1))]. 7423 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1663(a,1),7419(a,2,2))]. 7424 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(11(a,1),7420(a,1,1,2,1))]. 7426 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(12(a,1),7424(a,2,2,1,2))]. 7427 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4565(a,2),7423(a,1,2,1))]. 7428 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(7403(a,1),7408(a,1,1))]. 7429 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(6494,a,7426,a)]. 7430 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(286,a,5964,a(flip),b,7429,a),flip(a)]. 7431 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7430(a,1),6493(a,1))]. 7432 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(62,a,7241,a(flip),b,7428,a),flip(a)]. 7433 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7432(a,1),5844(a,1,2,1)),flip(a)]. 7434 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7433(a,2),5854(a,1))]. 7435 R(L(T(x * K(y,x),y * z),u,w),y,z) = (y * z) \ ((y * L(x,u,w)) * z). [para(25(a,2),6091(a,1,1))]. 7436 a(x \ 1,x,x \ ((x \ 1) \ y)) = (1 \ y) \ (x \ ((x \ 1) \ y)). [para(4888(a,1),6342(a,1,1,1)),flip(a)]. 7437 a(x \ 1,x,x \ ((x \ 1) \ y)) = y \ (x \ ((x \ 1) \ y)). [para(64(a,1),7436(a,2,1))]. 7439 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6612(a,2),6631(a,2,2))]. 7440 K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). [hyper(6669,a,7275,a)]. 7441 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(10(a,1),7440(a,1,2,1)),flip(a)]. 7442 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(73(a,1),7440(a,2,2,1,2))]. 7443 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(328(a,1),7442(a,1,2,1)),flip(a)]. 7444 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6603(a,1),7443(a,1,2,1))]. 7445 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4627(a,1),7444(a,1,2,1)),flip(a)]. 7446 a(x,K(y,z),K(z,u)) != w | a(x,K(z,u),K(y,z)) = w. [para(7284(a,1),2101(a,1))]. 7447 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),7322(a,2,1,1))]. 7448 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4552(a,2),7380(a,1,2))]. 7449 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(266,a,7381,a),flip(a)]. 7450 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(286,a,5964,a(flip),b,7398,a),flip(a)]. 7451 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(62,a,7388,a(flip),b,7450,a)]. 7452 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6770(a,2),7451(a,1,1))]. 7453 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,7241,a(flip),b,7452,a),flip(a)]. 7454 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(10(a,1),7453(a,1,2,1,1)),flip(a)]. 7455 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(6043(a,1),7453(a,1,2,1))]. 7456 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(62,a,7237,a(flip),b,7454,a),flip(a)]. 7457 L(R(T(x * K(y,x),y * z),y,z),u,w) = (y * z) \ ((y * L(x,u,w)) * z). [hyper(62,a,29,a(flip),b,7435,a)]. 7458 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(286,a,4153,a(flip),b,7439,a),flip(a)]. 7459 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(261,a,7448,a),flip(a)]. 7460 L((x * y) \ ((z * T(x,z)) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). [para(6889(a,1),7457(a,1,1))]. 7461 L((x * y) \ ((x * z) * y),u,w) = (x * y) \ ((x * L(z,u,w)) * y). [para(108(a,1),7460(a,1,1,2,1))]. 7462 L(((x / y) * y) \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). [para(12(a,1),7461(a,2,1))]. 7464 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5846(a,1),5875(a,2,2))]. 7465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | x = w. [para(7464(a,2),302(a,1))]. 7467 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) != w | z \ (K(y,x) * u) = w. [para(5856(a,1),7465(a,1,1))]. 7468 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(214(a,1),5905(a,1,2)),flip(a)]. 7469 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4781(a,1),7468(a,1,1,2,1))]. 7470 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(215(a,1),5906(a,1,2)),flip(a)]. 7471 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4781(a,1),7470(a,1,1,2,1))]. 7472 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5885(a,1),6029(a,1,2))]. 7473 K(1 / x,x) \ (R(1 / y,y,K(1 / x,x)) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). [para(5826(a,1),6288(a,1,2,2,1,2))]. 7474 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(286,a,1752,a(flip),b,6357,a),flip(a)]. 7475 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(286,a,4124,a(flip),b,7474,a),flip(a)]. 7476 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(7065(a,1),6374(a,1,1,1))]. 7477 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3328(a,1),6377(a,1,1))]. 7478 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(4885(a,2),7477(a,1,1,1,1,2,1))]. 7479 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(62,a,937,a(flip),b,7351,a)]. 7480 L(x \ (((x / y) * z) * y),u,w) = x \ (((x / y) * L(z,u,w)) * y). [para(12(a,1),7462(a,1,1,1))]. 7481 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(62,a,7324,a(flip),b,7472,a),flip(a)]. 7482 a(x / K(y,z),K(y,z),K(z,y) * u) = ((x * K(z,y)) * u) \ (x * (K(z,y) * u)). [para(6892(a,1),5873(a,2,1,1))]. 7483 (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = x * (y * T(z,u)). [hyper(286,a,432,a(flip),b,6136,a),flip(a)]. 7487 a(x \ y,T(x,x \ y),z) = ((y / x) * (x * z)) \ (y * z). [para(201(a,1),6281(a,1,2,1)),flip(a)]. 7488 a(x \ y,T(x,x \ y),z) != u | a(y / x,x,z) = u. [para(7487(a,2),853(a,1))]. 7489 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3388(a,1),6347(a,1,2,1,1))]. 7490 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2932(a,1),7489(a,1,2))]. 7491 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6370,a,6577,a)]. 7492 R(K(x,y),y,z) = K(x,y). [para(347(a,1),7491(a,1,2))]. 7493 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(7491(a,1),7410(a,1,1,2)),flip(a)]. 7494 K((x * y) / z,x) = K(x / (z / y),x). [hyper(62,a,7246,a(flip),b,7492,a)]. 7495 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(62,a,6236,a(flip),b,7492,a)]. 7496 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(702(a,1),7495(a,1,1,1))]. 7497 K((x / y) \ z,z) = K((z * y) / x,z). [hyper(286,a,6952,a,b,7494,a)]. 7498 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7494(a,2),7092(a,1))]. 7499 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(286,a,6895,a(flip),b,7493,a),flip(a)]. 7500 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(62,a,7416,a(flip),b,7499,a)]. 7501 L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(6786(a,1),6858(a,1,1))]. 7502 L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). [para(76(a,1),7501(a,1,1,1))]. 7504 L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). [para(4884(a,1),7502(a,1,2,2,2))]. 7505 L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). [hyper(286,a,6786,a(flip),b,7504,a),flip(a)]. 7506 L(K(x,y),z \ (z / x),u) = K(x,y). [hyper(286,a,632,a(flip),b,7505,a),flip(a)]. 7507 K((x / y) \ x,z) != u | K(y,z) = u. [para(7505(a,1),335(a,1)),flip(b)]. 7509 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). [para(7506(a,1),723(a,1,1)),flip(a)]. 7510 K(x \ (x * y),z) != u | K(y,z) = u. [para(11(a,1),7507(a,1,1,1))]. 7512 K(1 / ((x * y) \ x),z) != u | K(y,z) = u. [para(6786(a,2),7510(a,1))]. 7513 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). [hyper(286,a,6759,a(flip),b,7509,a),flip(a)]. 7515 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = K(y,z). [hyper(286,a,1474,a(flip),b,7513,a),flip(a)]. 7516 ((x \ 1) \ y) * R((y \ 1) / x,x,x \ 1) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(6411(a,1),7051(a,1,2,1))]. 7517 ((x \ 1) \ y) * ((y \ 1) * (x \ 1)) = (1 \ (x * y)) \ ((x \ 1) \ y). [para(560(a,1),7516(a,1,2))]. 7518 (1 \ (x * y)) \ ((x \ 1) \ y) = ((x \ 1) \ y) * ((x * y) \ 1). [para(6394(a,1),7517(a,1,2)),flip(a)]. 7519 ((x \ 1) \ y) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). [para(64(a,1),7518(a,1,1)),flip(a)]. 7521 ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * (((x \ 1) \ y) \ 1). [para(7519(a,1),6403(a,1,1))]. 7522 ((x * y) \ ((x \ 1) \ y)) \ 1 = (x * y) * ((y \ 1) / x). [para(6411(a,1),7521(a,2,2))]. 7523 x \ 1 != (y * z) * ((z \ 1) / y) | (y * z) \ ((y \ 1) \ z) = x. [para(7522(a,1),47(a,1)),flip(a)]. 7524 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(62,a,7415,a(flip),b,7219,a),flip(a)]. 7525 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1678(a,2),7323(a,1,2))]. 7526 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(261,a,7525,a)]. 7527 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6260(a,1),7526(a,1,2)),flip(a)]. 7528 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5741(a,1),7527(a,2,2))]. 7529 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(76(a,1),7528(a,1,1,2,1))]. 7530 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(76(a,1),7529(a,2,2,1,2))]. 7531 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(115,a,6948,a(flip),b,7530,a(flip))]. 7534 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6883(a,1),7530(a,1,1)),flip(a)]. 7535 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(109(a,1),7531(a,2,1))]. 7536 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4635(a,1),7534(a,1,2,1))]. 7537 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(7535(a,1),4475(a,1,1)),flip(a)]. 7538 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(62,a,3894,a(flip),b,7537,a)]. 7539 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(4563(a,1),7538(a,2,1,1))]. 7540 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4784(a,1),7536(a,1,1,2))]. 7541 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(4804(a,1),7540(a,2,2))]. 7542 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4495(a,1),4503(a,2,1))]. 7543 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4644(a,1),5751(a,2,2))]. 7544 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(7543(a,2),439(a,1))]. 7546 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6610(a,1),6628(a,2,1))]. 7547 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(286,a,20,a,b,7546,a),flip(a)]. 7550 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(201(a,1),7547(a,1,2))]. 7551 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7137(a,1),7550(a,1,1))]. 7552 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(286,a,4479,a,b,6859,a)]. 7553 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(76(a,1),7542(a,1,1,2)),flip(a)]. 7554 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3723(a,1),7552(a,1,1)),flip(a)]. 7555 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7554(a,1),6860(a,1,1)),flip(a)]. 7556 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(286,a,5759,a(flip),b,7555,a),flip(a)]. 7561 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4432(a,1),4531(a,1,2)),flip(a)]. 7565 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(286,a,18,a,b,7561,a),flip(a)]. 7566 L(x,y \ 1,z) = L(x,1 / y,z). [para(1071(a,1),7565(a,1,2))]. 7568 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2153(a,2),7565(a,1,2))]. 7569 L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). [para(2567(a,1),7565(a,1,2))]. 7572 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(7566(a,2),92(a,1,2))]. 7574 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(76(a,1),7572(a,1,2,2))]. 7575 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(7574(a,1),42(a,1)),flip(a)]. 7576 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5978,a,7496,a),flip(a)]. 7578 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(286,a,6143,a(flip),b,7576,a),flip(a)]. 7579 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5978,a,7578,a)]. 7581 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6493,a,7579,a)]. 7594 (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(1119(a,1),4156(a,1,1))]. 7595 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1143(a,1),7594(a,1,2))]. 7596 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(655,a,7595,a),flip(a)]. 7598 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,4267,a,b,7596,a)]. 7599 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3913(a,1),7598(a,1,1))]. 7600 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4649(a,2),4833(a,1,2,1,2,2))]. 7601 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(62,a,2257,a(flip),b,7600,a)]. 7602 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4496(a,1),7601(a,1,1))]. 7603 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(228,a,7602,a)]. 7605 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7603(a,1),7350(a,1,1))]. 7606 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(228,a,7605,a),flip(a)]. 7607 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(682,a,7606,a),flip(a)]. 7609 T(T(x,y) \ (x * z),x) = T(x,y) \ (z * x). [hyper(4579,a,7607,a),flip(a)]. 7610 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(34,a,6864,a,b,7607,a),flip(a)]. 7611 T(x * K(y,z),y) * y = T(x,y) * T(y,z). [para(6866(a,2),7607(a,1,1))]. 7612 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6888,a,7610,a)]. 7613 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(216,a,7610,a(flip),b,5714,a)]. 7615 T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. [para(7610(a,1),6888(a,1))]. 7616 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5979,a,7613,a)]. 7617 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2229(a,1),7616(a,1,1)),flip(a)]. 7618 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(6583,a,7612,a),flip(a)]. 7619 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(286,a,6822,a,b,7612,a)]. 7620 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(110(a,1),7612(a,2,1))]. 7621 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7612(a,2),5724(a,1,2))]. 7622 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(6569,a,7618,a)]. 7623 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(286,a,5876,a,b,7618,a),flip(a)]. 7624 T(K(x \ 1,y) * z,y) = K(x,y \ 1) * T(z,y). [hyper(286,a,6462,a(flip),b,7618,a),flip(a)]. 7626 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5942(a,1),7618(a,1,1)),flip(a)]. 7627 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(62,a,5703,a,b,7622,a)]. 7628 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(9(a,1),7622(a,1,2,1)),flip(a)]. 7630 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7622(a,1),1486(a,1,1)),flip(a)]. 7631 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(7622(a,1),6581(a,1,1)),flip(a)]. 7632 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7622(a,1),6640(a,1,1,2)),flip(a)]. 7633 x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). [hyper(286,a,5736,a,b,7623,a)]. 7636 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(25(a,2),7628(a,2,2))]. 7637 T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(7628(a,2),6317(a,1))]. 7639 T(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). [para(7631(a,1),7613(a,1,1))]. 7640 T(T(x,y) \ (x * z),x) != T(x,y) \ u | z * x = u. [para(7609(a,2),46(a,1))]. 7641 T(x * K(y,z \ 1),y \ 1) * (y \ 1) = T(x,y \ 1) * T(y \ 1,z). [para(6458(a,1),7611(a,1,1,1,2))]. 7642 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5833(a,1),7619(a,1,1,1)),flip(a)]. 7643 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(62,a,6959,a(flip),b,7620,a)]. 7644 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(131,a,7643,a)]. 7645 T(x,y) \ (z * K(x,y)) = T(x \ z,K(x,y)). [hyper(216,a,7643,a(flip),b,5715,a),flip(a)]. 7647 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [para(7643(a,2),6864(a,1,1))]. 7648 (x * y) * K(x,z) = x * (y * K(x,z)). [para(9(a,1),7644(a,1,2,1)),flip(a)]. 7649 L(K(x,y),z,x) = K(x,y). [hyper(7575,a,7648,a)]. 7650 R(x,y,K(x,z)) = x. [hyper(7165,a,7648,a)]. 7651 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(6073,a,7648,a(flip))]. 7652 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7648(a,1),6864(a,1,1))]. 7653 R(T(x,y),z,K(x,u)) = T(x,y). [para(7650(a,1),27(a,2,1))]. 7655 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7650(a,1),468(a,1,1,1)),flip(a)]. 7656 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7650(a,1),469(a,1,1,1)),flip(a)]. 7657 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7650(a,1),470(a,1,1,1)),flip(a)]. 7658 R(x \ 1,y,K(x,z)) = x \ 1. [para(6455(a,1),7650(a,1,3))]. 7660 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7650(a,1),7242(a,1,1,1)),flip(a)]. 7661 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(286,a,9,a,b,7649,a),flip(a)]. 7662 K(L(x,y,x),z) = K(x,z). [hyper(62,a,7083,a(flip),b,7649,a)]. 7663 a(x,y,K(x,z)) = 1. [hyper(52,a,7649,a)]. 7664 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(115,a,7649,a(flip),b,3000,a)]. 7665 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(7649(a,1),261(a,1,2))]. 7666 K(T(x / (x / y),x),z) = K(y,z). [para(4073(a,2),7662(a,1,1))]. 7667 K(R(x,y,x),z) = K(x,z). [para(4291(a,1),7662(a,1,1)),flip(a)]. 7668 T(x,L(y,z,y)) = x / K(y,x). [para(7662(a,1),4620(a,2,2))]. 7669 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7662(a,1),4738(a,1,1))]. 7670 R(K(x,y),z,x) = K(x,y). [hyper(62,a,7237,a(flip),b,7667,a)]. 7671 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7667(a,1),4659(a,2,2)),flip(a)]. 7672 x * K(R(x,y,x),z) = T(x,z). [para(7667(a,2),4659(a,2,2)),flip(a)]. 7673 K(x,R(y,z,y)) = 1 / K(y,x). [para(7667(a,1),4794(a,1,2)),flip(a)]. 7675 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7667(a,1),5763(a,1,1))]. 7676 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7667(a,1),7242(a,1,1)),flip(a)]. 7677 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(62,a,7416,a(flip),b,7670,a)]. 7678 K(x,(y / x) / z) = K(x,y / (z * x)). [hyper(62,a,7415,a(flip),b,7670,a),flip(a)]. 7679 K(x,R(y,z,x)) = K(x,y). [hyper(62,a,7402,a(flip),b,7670,a)]. 7681 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7670(a,1),6024(a,1,1)),flip(a)]. 7682 T(x,R(y,z,x)) = x * K(x,y). [para(7679(a,1),4659(a,2,2))]. 7685 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(7658(a,1),104(a,1,1)),flip(a)]. 7686 T(x,L(y,z,y)) = T(x,y). [hyper(286,a,4620,a,b,7668,a),flip(a)]. 7687 T(x,L(y,z,y)) = x * K(x,y). [hyper(286,a,6892,a(flip),b,7668,a),flip(a)]. 7688 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(638,a,7686,a),flip(a)]. 7692 T(x,T(y / z,y)) = T(x,z \ y). [para(4075(a,1),7686(a,1,2))]. 7693 T(x,R(y,z,y)) = T(x,y). [para(4291(a,1),7686(a,1,2)),flip(a)]. 7694 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(638,a,7693,a),flip(a)]. 7695 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7693(a,1),108(a,1,2))]. 7696 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4120(a,1),7693(a,1,2))]. 7697 K(x,R(y,z,y)) = K(x,y). [hyper(286,a,4794,a(flip),b,7673,a),flip(a)]. 7698 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7673(a,2),4797(a,1))]. 7699 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4045(a,1),7697(a,1,2)),flip(a)]. 7700 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4120(a,1),7697(a,1,2))]. 7701 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7697(a,1),6098(a,1,2)),flip(a)]. 7702 T(x,R(y,z,x)) = T(x,y). [hyper(286,a,4659,a,b,7682,a),flip(a)]. 7705 T(x,(y * x) / z) = T(x,y / (z / x)). [para(481(a,1),7702(a,1,2))]. 7706 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(700(a,1),7702(a,1,2))]. 7711 K(x,L(y,z,y)) = K(x,y). [hyper(4727,a,7687,a)]. 7712 K(x,T(y / z,y)) = K(x,z \ y). [para(4075(a,1),7711(a,1,2))]. 7713 (x / L(y,z,y)) * K(u,y) = x / T(L(y,z,y),u). [para(7711(a,1),6605(a,1,2))]. 7714 K((x \ y) \ y,z) = K(T(x,y),z). [para(176(a,1),7666(a,1,1,1)),flip(a)]. 7716 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(73(a,1),7692(a,1,2,1)),flip(a)]. 7717 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7692(a,1),5779(a,1))]. 7719 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4120(a,1),7698(a,1,2))]. 7720 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1736(a,1),7699(a,1,2)),flip(a)]. 7721 K(x,T(y,z * y)) = K(x,T(y,z)). [para(3989(a,2),7699(a,1,2))]. 7722 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(1724,a,7700,a)]. 7723 K(x,T(y,z)) = T(K(x,y),z). [hyper(62,a,6775,a(flip),b,7700,a),flip(a)]. 7724 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(3880(a,1),7700(a,1,2))]. 7726 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(286,a,7406,a,b,7723,a)]. 7727 K(1 / T(x,y),z) = K(1 / x,T(z,y)). [hyper(286,a,6352,a,b,7723,a)]. 7728 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(286,a,6349,a,b,7723,a)]. 7729 K(x / y,T(z,x)) = K(y \ x,z). [hyper(286,a,6940,a(flip),b,7723,a),flip(a)]. 7730 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(286,a,2957,a(flip),b,7723,a),flip(a)]. 7731 K(x,T(y,z)) / z = K(x,y) / T(z,K(x,y)). [hyper(116,a,7723,a,b,3924,a)]. 7732 T(K(x * y,x),y) = K(x * y,x). [hyper(62,a,6779,a(flip),b,7723,a),flip(a)]. 7733 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7723(a,2),23(a,1,1)),flip(a)]. 7734 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),7723(a,1,2))]. 7735 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(25(a,2),7723(a,1,2))]. 7736 x * K(y,T(z,x)) = K(y,z) * x. [para(7723(a,2),108(a,1,2))]. 7738 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(7723(a,2),202(a,1,2,2))]. 7739 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(7723(a,2),532(a,1,2,2))]. 7740 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7723(a,2),578(a,1,2,2))]. 7741 T(K(x,y),K(z,y)) = K(x,y). [para(2786(a,1),7723(a,1,2)),flip(a)]. 7742 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7723(a,2),4016(a,1,2))]. 7743 x * T(K(x,y),z) = T(x,T(y,z)). [para(7723(a,1),4659(a,2,2)),flip(a)]. 7745 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7723(a,2),6180(a,1,1))]. 7747 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(115,a,7741,a(flip),b,5845,a)]. 7748 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(7741(a,1),262(a,1,2))]. 7749 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7741(a,1),7616(a,1,1)),flip(a)]. 7750 K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). [para(110(a,1),7730(a,1,2))]. 7751 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(697(a,1),7714(a,1,1,1)),flip(a)]. 7752 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6917(a,1),7714(a,1,1)),flip(a)]. 7753 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7714(a,1),7068(a,1,1)),flip(a)]. 7754 K((x \ y) \ y,z) = K(x,T(z,y)). [para(73(a,1),7729(a,1,1)),flip(a)]. 7756 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7729(a,1),3872(a,1,3))]. 7758 K(x \ R(y / z,u,w),z \ y) = K(R(y / z,u,w) / x,z \ y). [para(5758(a,1),7729(a,1,2)),flip(a)]. 7761 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7729(a,1),7236(a,1,1)),flip(a)]. 7762 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6977,a,7736,a)]. 7763 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(6899,a,7736,a)]. 7764 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(33,a,6289,a(flip),b,7736,a),flip(a)]. 7765 (K(x,y) * z) \ (z * (K(x,T(y,z)) * u)) = L(u,K(x,T(y,z)),z). [para(7736(a,1),18(a,2,1)),flip(a)]. 7766 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(23(a,1),7736(a,1,2,2))]. 7767 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(25(a,2),7736(a,1,2,2))]. 7768 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7736(a,1),42(a,1))]. 7770 K(x,y / z) * z = z * K(x,z \ y). [para(110(a,1),7736(a,1,2,2)),flip(a)]. 7771 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7736(a,1),93(a,1,2,2)),flip(a)]. 7772 x \ (y * K(z,T(x,y))) != u | T(x,z) \ y = u. [para(7736(a,2),5744(a,1,2))]. 7773 x * (T(y,x) * K(z,T(y,x))) = (K(z,y) * x) * T(y,x). [para(7736(a,1),6589(a,1,1)),flip(a)]. 7774 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(7700(a,1),7736(a,1,2))]. 7775 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(286,a,7613,a,b,7743,a)]. 7776 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(62,a,7696,a(flip),b,7749,a)]. 7777 K(T(x,y),z) = K(x,T(z,y)). [hyper(62,a,7714,a(flip),b,7754,a)]. 7778 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(4563(a,1),7754(a,1,1)),flip(a)]. 7779 ((x \ y) \ y) * (z * K(x,T(z,y))) = T((x \ y) \ y,z) * z. [para(7754(a,1),4692(a,1,2,2))]. 7780 a(x,y,K(z,T(y,u))) = 1. [para(7754(a,1),6699(a,1,3))]. 7781 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(51,a,7780,a)]. 7782 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(4931,a,7777,a)]. 7783 x / T(x,T(y,z)) = K(y,T(x,z)). [hyper(4631,a,7777,a)]. 7784 K(T(x,y),z) = T(K(x,z),y). [hyper(286,a,7723,a(flip),b,7777,a),flip(a)]. 7785 K(T(x,y),y / z) = K(x,z \ y). [hyper(286,a,7712,a(flip),b,7777,a),flip(a)]. 7786 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(286,a,4575,a(flip),b,7777,a),flip(a)]. 7787 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(62,a,6182,a,b,7777,a)]. 7788 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(57,a,7777,a)]. 7789 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(115,a,7777,a(flip),b,4613,a(flip)),flip(a)]. 7790 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),7777(a,2,2))]. 7791 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(25(a,2),7777(a,1,1))]. 7792 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),7777(a,1,1))]. 7793 K(x / y,T(z,y)) = K(y \ x,z). [para(110(a,1),7777(a,1,1)),flip(a)]. 7794 K(T(x,y),z / y) = K(x,y \ z). [para(110(a,1),7777(a,2,2))]. 7795 K((x * y) / x,T(z,x)) = K(y,z). [para(203(a,1),7777(a,1,1)),flip(a)]. 7796 K(x \ y,T(z,y / x)) = K(x \ y,z). [para(249(a,1),7777(a,1,1)),flip(a)]. 7797 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(284(a,1),7777(a,1,1))]. 7798 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(888(a,1),7777(a,2,2))]. 7799 K(x,T(y,K(x,z))) = K(x,y). [para(2937(a,1),7777(a,1,1)),flip(a)]. 7800 K(T(x,K(y,z)),y) = K(x,y). [para(2937(a,1),7777(a,2,2))]. 7801 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7777(a,1),4620(a,2,2)),flip(a)]. 7802 T(x,T(y,z)) * K(y,T(x,z)) = x. [para(7777(a,1),4621(a,1,2))]. 7803 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7777(a,1),4630(a,1,1))]. 7804 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7777(a,1),4667(a,2,1)),flip(a)]. 7807 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(4904(a,1),7777(a,1,1)),flip(a)]. 7808 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5791(a,1),7777(a,1,1)),flip(a)]. 7809 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7777(a,1),5839(a,1,1))]. 7810 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7777(a,1),5741(a,1,1))]. 7811 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7777(a,1),5865(a,1,1))]. 7813 K(x,T(y,z)) * (T(x,z) * u) = T(T(x,y),z) * u. [para(7777(a,1),5762(a,1,1))]. 7814 T(x,x * y) * (L(x,y,x) \ z) = K(x,T(y,x * y)) * z. [para(7777(a,1),5948(a,2,1))]. 7815 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7777(a,1),6604(a,1,1,2))]. 7816 T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). [para(7777(a,1),6612(a,2,2,2))]. 7818 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7777(a,1),6892(a,1,2))]. 7819 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7777(a,1),6899(a,1,2))]. 7820 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7777(a,1),6901(a,1,2))]. 7821 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7777(a,1),7283(a,1,2)),flip(a)]. 7822 x * K(T(y,x),z) = K(y,z) * x. [para(7777(a,2),7736(a,1,2))]. 7823 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(27(a,2),7799(a,1,2))]. 7824 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(7799(a,1),7736(a,1,2))]. 7825 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7784(a,2),7799(a,1,2))]. 7826 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7800(a,1),4667(a,2,1)),flip(a)]. 7827 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7777(a,1),7763(a,1,2))]. 7829 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7782(a,1),4783(a,1))]. 7830 K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) / y). [para(191(a,1),7785(a,1,1)),flip(a)]. 7831 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7785(a,1),4667(a,2,1)),flip(a)]. 7832 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(62,a,6152,a(flip),b,7793,a),flip(a)]. 7833 K(x \ y,L(x,z,u)) = K(y / x,L(x,z,u)). [para(166(a,1),7793(a,1,2)),flip(a)]. 7834 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7793(a,1),4667(a,2,1)),flip(a)]. 7835 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7793(a,1),4668(a,1,1))]. 7836 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7793(a,2),7510(a,1))]. 7837 K(x / y,z) * y = y * K(y \ x,z). [para(7793(a,1),7736(a,1,2)),flip(a)]. 7839 K(x,R(T(x,y),z,u) \ w) = K(x,w / R(T(x,y),z,u)). [para(191(a,1),7794(a,1,1)),flip(a)]. 7840 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7794(a,1),6934(a,1,2))]. 7842 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7795(a,1),6656(a,1,2))]. 7843 a(x,T(y,z),K(u,y)) = 1. [para(7795(a,1),6699(a,1,3))]. 7844 K((x * y) / x,z) * x = x * K(y,z). [para(7795(a,1),7736(a,1,2)),flip(a)]. 7845 L(K(x,y),T(y,z),u) = K(x,y). [hyper(51,a,7843,a)]. 7846 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(115,a,7845,a(flip),b,3000,a)]. 7848 T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. [para(7801(a,1),122(a,1,1)),flip(b)]. 7849 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6894(a,1),7808(a,1,2))]. 7851 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7822(a,1),6895(a,1,1))]. 7852 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7822(a,1),6902(a,1,1))]. 7853 x * K(y,T(z,u)) != u | K(z,y) * u = x. [para(7827(a,1),43(a,1)),flip(a)]. 7855 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7842(a,1),493(a,1,1))]. 7857 L(K(x,y),z,x) != u | K(x,y) = u. [para(7661(a,2),301(a,1)),flip(b)]. 7860 K(L(x,y,x),z) != u | K(x,z) = u. [para(7083(a,1),7857(a,1))]. 7861 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4073(a,2),7860(a,1,1))]. 7862 K(x,y) != z | K(R(x,u,x),y) = z. [para(4291(a,1),7860(a,1,1))]. 7863 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(62,a,7069,a(flip),b,7781,a),flip(a)]. 7864 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7723(a,1),7829(a,1))]. 7866 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(2945,a,7669,a)]. 7867 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(115,a,7669,a(flip),b,5733,a),flip(a)]. 7868 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(286,a,27,a,b,7671,a),flip(a)]. 7869 L(x,y,K(x,z)) = x. [hyper(7575,a,7676,a)]. 7871 ((x * y) / x) \ (z * y) = T(K(y,x) * z,y). [hyper(216,a,7676,a,b,4633,a),flip(a)]. 7872 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7676(a,1),195(a,2,1)),flip(a)]. 7874 L(T(x,y),z,K(x,u)) = T(x,y). [para(7869(a,1),25(a,2,1))]. 7875 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7869(a,1),433(a,1,2,1))]. 7879 L(x \ 1,y,K(x,z)) = x \ 1. [para(6455(a,1),7869(a,1,3))]. 7881 L(K(x,y),z,K(x,u)) = K(x,y). [para(7869(a,1),7081(a,1,1)),flip(a)]. 7883 (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). [para(7874(a,1),495(a,1,2))]. 7889 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(7879(a,1),92(a,1,2))]. 7890 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(7879(a,1),798(a,1,1)),flip(a)]. 7893 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7881(a,1),25(a,2,1))]. 7894 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7881(a,1),4024(a,1,1,1))]. 7895 x / T(K(y,z),x) = K(y,z) \ x. [para(7881(a,1),4233(a,1,1)),flip(a)]. 7896 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7895(a,1),3924(a,1,1))]. 7897 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7688(a,1),108(a,1,2)),flip(a)]. 7898 L(R(x,y,L(x,z,u)),z,u) * T(w,L(x,z,u)) = w * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),7695(a,1,1))]. 7899 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(110(a,1),7695(a,1,2))]. 7901 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6745(a,1),7720(a,1,2)),flip(a)]. 7902 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(163(a,1),7728(a,1,1,1)),flip(a)]. 7903 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(286,a,7723,a,b,7733,a)]. 7904 x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. [para(7747(a,1),47(a,1)),flip(a)]. 7905 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7686(a,1),7762(a,1,2,1))]. 7907 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5969(a,1),7770(a,1,1)),flip(a)]. 7908 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7789(a,1),1772(a,1,2))]. 7909 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7829,a,7790,a)]. 7910 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(6010,a,7804,a)]. 7911 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [hyper(286,a,23,a,b,7804,a),flip(a)]. 7913 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(6075,a,7824,a)]. 7914 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [para(7824(a,1),6438(a,1,1))]. 7916 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7866(a,1),6305(a,1,1)),flip(a)]. 7917 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(7390(a,1),7866(a,2,1))]. 7918 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(115,a,7868,a(flip),b,5730,a)]. 7920 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5846(a,1),7894(a,1,1)),flip(a)]. 7921 T(T(x,y),z) != u | K(x,T(z,y)) * T(x,y) = u. [para(7910(a,1),6010(a,1))]. 7922 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7723(a,2),7910(a,1,2,2))]. 7923 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(6899,a,7920,a)]. 7926 (x * (K(y,x) * z)) * K(x,y) = T(x * z,K(x,y)). [para(5885(a,1),7920(a,1,1))]. 7927 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7920(a,1),6909(a,1,1))]. 7928 T(T(x,K(y,z)),K(z,y)) = x. [hyper(399,a,7923,a)]. 7929 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [hyper(116,a,5705,a(flip),b,7923,a)]. 7930 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(116,a,10,a(flip),b,7923,a),flip(a)]. 7931 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(34,a,4669,a,b,7923,a)]. 7932 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(216,a,7923,a(flip),b,4638,a),flip(a)]. 7935 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7723(a,2),7923(a,1,1))]. 7936 T(x / y,K(y,x)) = x / y. [hyper(39,a,6619,a,b,7928,a),flip(a)]. 7937 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(7928(a,1),48(a,1)),flip(a)]. 7938 x * K(K(y,z),x) != u | T(x,K(z,y)) = u. [para(7928(a,1),6160(a,1))]. 7939 T(T(x,K(y,z)),T(z,y)) = T(x,z). [para(7928(a,1),7616(a,1,1)),flip(a)]. 7940 K(K(x,y),z) = K(z,K(y,x)). [hyper(33,a,4659,a(flip),b,7931,a),flip(a)]. 7941 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(7931(a,1),4814(a,1))]. 7942 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(4931,a,7940,a)]. 7943 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(7940(a,1),4783(a,1,1))]. 7944 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7940(a,1),4675(a,1,1))]. 7945 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7942(a,1),4783(a,1))]. 7949 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(6899,a,7932,a)]. 7950 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(286,a,7723,a,b,7932,a),flip(a)]. 7951 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(34,a,4612,a(flip),b,7949,a)]. 7952 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [hyper(6355,a,7951,a)]. 7953 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(4898,a,7951,a)]. 7954 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(7953(a,1),458(a,1,2)),flip(a)]. 7956 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(7953(a,1),4764(a,1,2))]. 7957 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(7953(a,1),4802(a,1,2,1))]. 7958 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [hyper(34,a,6897,a,b,7950,a)]. 7959 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(76(a,1),7952(a,1,2,1,1))]. 7960 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(4885(a,1),7952(a,1,2,1,1))]. 7961 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4893(a,1),7952(a,1,2,1,1))]. 7962 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(5851,a,7958,a)]. 7963 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7958(a,1),7023(a,1,1))]. 7964 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(6225,a,7959,a)]. 7967 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(6225,a,7960,a)]. 7968 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(286,a,7723,a,b,7961,a)]. 7970 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(7961(a,1),4663(a,1,2))]. 7973 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(7964(a,2),7775(a,2,2))]. 7974 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6989,a,7968,a(flip)),flip(a)]. 7975 K(x \ y,T(z \ 1,u)) != w | K(y \ x,T(z,u)) = w. [para(7968(a,2),6802(a,1))]. 7977 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1231(a,1),7719(a,1,2,2))]. 7980 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6775(a,1),7719(a,1))]. 7981 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7784(a,2),7980(a,1))]. 7982 T(T(K(x,y),z),u) != w | K(x,T(T(y,u),z)) = w. [para(7733(a,2),7980(a,1))]. 7984 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(25(a,2),7981(a,1,1))]. 7985 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7213(a,2),7981(a,1))]. 7986 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7714(a,2),7981(a,1))]. 7988 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(10(a,1),7836(a,1,1,1))]. 7990 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(62,a,7261,a(flip),b,7893,a)]. 7992 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5846(a,1),7990(a,1,2)),flip(a)]. 7994 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4781(a,1),7943(a,1))]. 7995 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(166(a,1),7988(a,1,2))]. 7996 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4460(a,2),7988(a,1,1))]. 7997 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4816(a,2),7988(a,1,1))]. 7998 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(37,a,22,a(flip),b,7633,a)]. 7999 L(x,y,K(z,x)) = x. [hyper(7575,a,7998,a)]. 8000 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7998(a,1),5718(a,1,2,2))]. 8002 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7999(a,1),30(a,1,1)),flip(a)]. 8004 L(K(x,y),z,K(u,x)) = K(x,y). [para(7999(a,1),7081(a,1,1)),flip(a)]. 8005 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(8004(a,1),92(a,1,2))]. 8006 L(x,y,T(x,z)) = L(x,y,x). [hyper(7544,a,8002,a),flip(a)]. 8007 L(x,y,x * K(z,x)) = L(x,y,x). [hyper(62,a,7481,a(flip),b,8002,a)]. 8009 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8006(a,1),25(a,2,1))]. 8012 L(x \ y,z,x \ y) = L(x \ y,z,y / x). [para(4672(a,1),8007(a,1,3)),flip(a)]. 8013 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(286,a,25,a,b,8009,a),flip(a)]. 8015 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(8013(a,1),4260(a,1))]. 8016 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(34,a,6668,a,b,7647,a)]. 8018 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(286,a,6053,a,b,8016,a),flip(a)]. 8019 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4035(a,1),8018(a,1,2))]. 8020 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(286,a,142,a(flip),b,7651,a),flip(a)]. 8021 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7652(a,1),6884(a,1,2))]. 8022 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7664(a,1),6282(a,2,2,2))]. 8023 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(286,a,6713,a,b,7701,a)]. 8024 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(286,a,5741,a(flip),b,7774,a),flip(a)]. 8025 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(166(a,1),7792(a,2,2))]. 8026 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1842(a,1),7792(a,1,1)),flip(a)]. 8027 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2786(a,1),7792(a,2,2))]. 8028 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6894(a,1),7823(a,1,2,1))]. 8029 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(286,a,7616,a(flip),b,7826,a),flip(a)]. 8030 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(6010,a,8029,a)]. 8031 K(x,K(y,z)) = K(z,K(y,x)). [hyper(34,a,7963,a,b,8030,a)]. 8032 K(K(x,y),z) = K(x,K(y,z)). [hyper(7945,a,8031,a)]. 8033 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8031(a,1),85(a,1,2))]. 8034 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8031(a,1),4629(a,2,1)),flip(a)]. 8035 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8031(a,1),4659(a,2,2)),flip(a)]. 8036 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8031(a,1),4667(a,2,1)),flip(a)]. 8038 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(8031(a,1),4668(a,1,1))]. 8039 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8031(a,1),4678(a,1,1))]. 8040 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8031(a,1),7942(a,1,1))]. 8042 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8031(a,1),7932(a,1,1))]. 8043 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8031(a,1),7962(a,1,2))]. 8044 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(286,a,6239,a(flip),b,8032,a),flip(a)]. 8045 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(62,a,7383,a,b,8032,a)]. 8046 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(8032(a,1),4629(a,2,1)),flip(a)]. 8047 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8032(a,1),4659(a,2,2)),flip(a)]. 8048 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8032(a,1),4663(a,1,2))]. 8050 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(8032(a,1),5741(a,1,1))]. 8052 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8032(a,1),6811(a,1,2))]. 8054 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8032(a,1),7181(a,1,2))]. 8055 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8032(a,1),7994(a,1))]. 8056 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7943,a,8040,a)]. 8057 K(K(x,y),z) = K(y,K(z,x)). [hyper(4783,a,8040,a)]. 8058 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8040(a,1),7943(a,1))]. 8059 K(K(x,y),z) = K(y,K(x,z)). [hyper(286,a,8032,a,b,8056,a)]. 8060 K(x,K(y,z)) = K(z,K(x,y)). [hyper(286,a,8031,a,b,8056,a),flip(a)]. 8061 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8056(a,1),4659(a,2,2)),flip(a)]. 8062 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8056(a,1),4667(a,2,1)),flip(a)]. 8064 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8056(a,1),4663(a,1,2))]. 8065 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(8056(a,1),4668(a,1,1))]. 8066 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5991(a,2),8056(a,1,2))]. 8067 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8056(a,1),5782(a,1,2))]. 8068 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7777(a,2),8056(a,1,2))]. 8069 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8056(a,1),8035(a,1,2))]. 8070 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8056(a,1),8036(a,1,1))]. 8071 K(K(x,y),z) = K(x,K(z,y)). [hyper(286,a,8031,a,b,8057,a),flip(a)]. 8072 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8057(a,1),4659(a,2,2)),flip(a)]. 8073 K(K(x,y),z) * y = T(y,K(z,x)). [para(8057(a,2),4667(a,2,1)),flip(a)]. 8076 K(K(x,y),z) = K(z,K(x,y)). [hyper(286,a,8031,a,b,8059,a),flip(a)]. 8077 K(x,K(y,z)) = K(x,K(z,y)). [hyper(62,a,8057,a(flip),b,8059,a)]. 8078 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8059(a,1),4605(a,1,1))]. 8079 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6239(a,1),8059(a,1,1)),flip(a)]. 8080 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8059(a,1),7994(a,1))]. 8081 x * K(K(y,z),x) = T(x,K(y,z)). [para(8059(a,2),8035(a,1,2))]. 8082 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(286,a,7958,a,b,8060,a)]. 8083 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8060(a,1),4667(a,2,1)),flip(a)]. 8085 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(8060(a,2),4675(a,1,1))]. 8086 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8060(a,2),6144(a,1,1))]. 8087 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(8060(a,2),6613(a,1,1,2))]. 8088 x * T(x \ y,K(z,u)) = y * K(z,K(u,x \ y)). [para(8060(a,2),6796(a,2,2))]. 8089 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8060(a,2),6798(a,2,2))]. 8090 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7777(a,1),8060(a,1,2))]. 8091 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(8060(a,1),7950(a,1,1))]. 8092 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8060(a,2),7950(a,1,1))]. 8093 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(8060(a,1),7962(a,1,2))]. 8094 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(8060(a,2),7962(a,1,2))]. 8095 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8060(a,1),8036(a,1,1))]. 8096 K(x,K(y,z)) / y != u | 1 / T(y,K(x,z)) = u. [para(8071(a,1),4760(a,1,1))]. 8097 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8071(a,1),7994(a,1))]. 8098 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8076(a,1),4782(a,1,1))]. 8099 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(8076(a,1),5839(a,1,1))]. 8100 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(8076(a,1),5846(a,1,1))]. 8101 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8076(a,1),5741(a,1,1))]. 8102 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8076(a,1),5851(a,1,1))]. 8103 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. [para(8076(a,1),5853(a,1,1))]. 8104 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(8076(a,1),5747(a,1,1))]. 8105 K(x,K(y,z)) \ (x * u) != w | T(x,K(y,z)) * u = w. [para(8076(a,1),5750(a,1,1))]. 8106 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(8076(a,1),6605(a,1,2))]. 8107 x / K(y,K(z,u)) = x * K(y,K(z,u)). [para(8076(a,1),6892(a,1,2))]. 8108 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8076(a,1),7938(a,1,2))]. 8109 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8076(a,1),7994(a,1))]. 8111 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6356(a,1),8077(a,1,2)),flip(a)]. 8112 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7784(a,1),8077(a,1,2)),flip(a)]. 8113 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8077(a,1),7962(a,1,2))]. 8114 K(x,K(y,z) \ 1) * y = T(y,K(x \ 1,z)). [hyper(62,a,6462,a(flip),b,8062,a)]. 8115 T(x,K(y,z)) = T(x,K(z,y)). [hyper(62,a,8035,a(flip),b,8069,a)]. 8116 T(T(x,K(y,z)),K(y,z)) = x. [hyper(7941,a,8115,a)]. 8117 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(7099,a,8115,a),flip(a)]. 8118 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(286,a,7920,a,b,8115,a)]. 8119 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(286,a,5845,a,b,8115,a)]. 8120 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(286,a,7894,a(flip),b,8115,a),flip(a)]. 8121 T(T(x,y),K(z,y)) = x * T(K(x,y),z). [hyper(286,a,7775,a(flip),b,8115,a),flip(a)]. 8122 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(286,a,7613,a(flip),b,8115,a),flip(a)]. 8123 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(286,a,6894,a(flip),b,8115,a),flip(a)]. 8124 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8115(a,1),108(a,1,2))]. 8125 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8115(a,1),4011(a,1,2))]. 8126 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(8115(a,1),5979(a,1,1))]. 8127 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8115(a,1),7616(a,1,1))]. 8128 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8115(a,1),7923(a,1,1))]. 8129 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(8115(a,1),7939(a,1,1))]. 8130 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(8115(a,1),7937(a,1))]. 8131 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(727,a,8116,a)]. 8132 T(K(x,y),z) * z = z * K(x,y). [para(8116(a,1),4103(a,1,2))]. 8133 (x * K(y,z)) / x = T(K(y,z),x). [para(8116(a,1),4104(a,1,2))]. 8134 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8116(a,1),7941(a,1,1)),flip(b)]. 8135 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8081(a,1),7172(a,1,3)),flip(a)]. 8136 T(x,K(y,z)) != u * x | K(z,K(x,y)) = u. [para(8083(a,1),43(a,1))]. 8137 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8122(a,1),7799(a,1,2))]. 8138 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8122(a,1),7800(a,1,1))]. 8139 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8122(a,1),7923(a,1,1))]. 8140 T(T(K(x,y),z),z) = K(x,y). [hyper(399,a,8132,a)]. 8141 T(K(x \ y,z),x) = K(y / x,z). [hyper(34,a,7837,a,b,8132,a),flip(a)]. 8142 T(K(x,y \ z),y) = K(x,z / y). [hyper(34,a,7770,a,b,8132,a),flip(a)]. 8143 T(K(x \ y,z),y) = K(y / x,z). [hyper(34,a,6941,a,b,8132,a),flip(a)]. 8144 T(K(x,T(y,z)),z) = K(x,y). [hyper(34,a,7736,a(flip),b,8132,a),flip(a)]. 8145 K(x \ y,z) * y = y * K(y / x,z). [para(6940(a,1),8132(a,1,1))]. 8146 K(x,T(y,z)) * z = z * K(x,y). [para(7723(a,2),8132(a,1,1))]. 8147 K(T(x,y),z) * y = y * K(x,z). [para(7784(a,2),8132(a,1,1))]. 8148 K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). [para(7735(a,2),8132(a,1,1))]. 8149 K(x,T(T(y,z),z)) = K(x,y). [hyper(62,a,7903,a,b,8140,a)]. 8150 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(39,a,7964,a(flip),b,8140,a),flip(a)]. 8151 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(39,a,6352,a(flip),b,8140,a),flip(a)]. 8153 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8140(a,1),214(a,1,2,1)),flip(a)]. 8154 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8140(a,1),247(a,1,2,2,1))]. 8155 K(T(x,y),T(z,y)) = K(x,z). [hyper(7864,a,8144,a)]. 8156 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(244,a,8144,a)]. 8157 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(62,a,6349,a,b,8144,a)]. 8158 K(x \ y,T(z,y)) = K(y / x,z). [hyper(62,a,6940,a(flip),b,8144,a)]. 8159 K(x,T(y \ z,z)) = K(x,z / y). [hyper(39,a,6767,a,b,8144,a),flip(a)]. 8161 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8144(a,1),215(a,1,2,1)),flip(a)]. 8162 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8144(a,1),587(a,1,2,1)),flip(a)]. 8165 K(x \ y,T(z,x)) = K(y / x,z). [hyper(7988,a,8149,a)]. 8166 K((x * y) / x,z) = K(y,T(z,x)). [hyper(7836,a,8149,a),flip(a)]. 8167 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(62,a,7792,a,b,8149,a)]. 8168 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(62,a,7791,a,b,8149,a)]. 8169 K(x,T(y \ z,y)) = K(x,z / y). [para(110(a,1),8149(a,1,2,1))]. 8170 K(x,(y * z) / y) = K(x,T(z,y)). [para(203(a,1),8149(a,1,2,1)),flip(a)]. 8171 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8149(a,1),7804(a,1,1)),flip(a)]. 8172 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8149(a,1),7836(a,1))]. 8173 K(x / (x / y),z) = K(y,T(z,x)). [hyper(7861,a,8155,a),flip(a)]. 8175 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(62,a,7752,a(flip),b,8155,a)]. 8176 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),8155(a,1,2))]. 8177 K(T(x,y),y \ z) = K(x,z / y). [para(110(a,1),8155(a,1,2))]. 8178 K(x,(y * z) / y) = K(T(x,y),z). [para(203(a,1),8155(a,1,2)),flip(a)]. 8180 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1307(a,1),8155(a,1,2))]. 8181 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3719(a,1),8155(a,1,1)),flip(a)]. 8182 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4053(a,1),8155(a,1,2))]. 8183 K(x * K(y,x),z) = K(x,T(z,y)). [para(4635(a,1),8155(a,1,1)),flip(a)]. 8184 x * K(T(x,y),T(z,y)) = T(x,z). [para(8155(a,2),4659(a,2,2)),flip(a)]. 8185 K(x \ K(y,x \ 1),z) = K(x \ 1,T(z,y)). [para(4711(a,1),8155(a,1,1)),flip(a)]. 8186 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8155(a,1),5883(a,1,1)),flip(a)]. 8187 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(8155(a,1),6573(a,1,1))]. 8188 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8155(a,1),7402(a,1,1))]. 8190 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(8155(a,1),7861(a,1))]. 8191 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(8133(a,2),108(a,1,2))]. 8194 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(62,a,7734,a,b,8141,a)]. 8195 K(((x * y) \ x) \ z,y) = K(z / ((x * y) \ x),y). [hyper(62,a,6761,a(flip),b,8141,a)]. 8196 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8141(a,1),7743(a,1,2))]. 8197 K(x,y \ z) * y = y * K(x,z / y). [para(8142(a,1),108(a,1,2)),flip(a)]. 8198 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(62,a,6778,a(flip),b,8143,a)]. 8199 K(x \ y,z \ y) = K(y / x,y / z). [hyper(62,a,6767,a(flip),b,8143,a)]. 8200 K(x \ y,z) \ y = y / K(y / x,z). [para(8143(a,1),7895(a,1,2)),flip(a)]. 8201 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(34,a,6289,a,b,8146,a),flip(a)]. 8202 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(34,a,6295,a(flip),b,8146,a),flip(a)]. 8203 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(116,a,8146,a(flip),b,4639,a)]. 8204 (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,T(u,y)),y). [para(8146(a,1),14(a,2,1,2)),flip(a)]. 8205 L(x \ y,x,K(z,T(u,x))) = (x * K(z,u)) \ (K(z,T(u,x)) * y). [para(8146(a,1),94(a,2,1))]. 8206 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8146(a,1),588(a,1,2,1)),flip(a)]. 8207 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8146(a,1),4638(a,1,2)),flip(a)]. 8208 (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(8146(a,1),5872(a,1,1,3)),flip(a)]. 8209 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5851,a,8147,a)]. 8210 K(x,T(y,z)) * z != u | z * K(x,y) = u. [para(8156(a,1),263(a,1,1)),flip(b)]. 8212 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7719,a,8158,a)]. 8213 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7142,a,8158,a)]. 8214 K(1 / x,T(y,z)) = K(z / (z * x),y). [hyper(6815,a,8158,a)]. 8216 K(x,y / (y / z)) = K(x,T(z,y)). [para(76(a,1),8159(a,1,2,1)),flip(a)]. 8217 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(62,a,6782,a,b,8165,a)]. 8218 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),8165(a,1,1)),flip(a)]. 8219 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(447(a,2),8165(a,1,1))]. 8220 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8165(a,1),6879(a,1,2)),flip(a)]. 8221 K((x * y) / x,T(z \ 1,u)) = K(y,T(T(z,u) \ 1,x)). [hyper(62,a,7968,a,b,8166,a)]. 8222 ((x * y) / x) * K(y,T(z,x)) != u | T((x * y) / x,z) = u. [para(8166(a,1),4663(a,1,2))]. 8223 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(8166(a,1),7836(a,1))]. 8224 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(14(a,2),8169(a,1,2,1)),flip(a)]. 8225 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),8169(a,1,2,1)),flip(a)]. 8226 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(772(a,1),8170(a,1,2)),flip(a)]. 8227 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(769(a,1),8170(a,1,2)),flip(a)]. 8230 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(62,a,4830,a,b,8178,a)]. 8231 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8178(a,2),7981(a,1))]. 8232 x / T(x,y * K(z,y)) = K(y,T(x,z)). [hyper(4631,a,8183,a)]. 8233 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4711(a,1),8184(a,1,2,2)),flip(a)]. 8234 K(x,y / (y / z)) = K(T(x,y),z). [hyper(286,a,7777,a,b,8216,a),flip(a)]. 8236 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8216(a,1),7357(a,1,2))]. 8237 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8216(a,1),7130(a,1,1,2))]. 8239 (x / y) * K(z,(x / y) \ x) = K(z,T(y,x)) * (x / y). [para(8216(a,1),7770(a,1,1)),flip(a)]. 8240 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(7940(a,2),8055(a,1))]. 8241 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8059(a,2),8055(a,1))]. 8242 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(8071(a,2),8055(a,1))]. 8243 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(7958(a,2),8097(a,1))]. 8244 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7777(a,1),8109(a,1,2))]. 8245 (K(x,y) * z) * K(y,x) != u | T(z,K(x,y)) = u. [para(7920(a,2),8134(a,1))]. 8246 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(110(a,1),8223(a,1,2,1))]. 8247 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7723(a,1),8223(a,1))]. 8248 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7729(a,1),8223(a,1))]. 8249 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7777(a,2),8223(a,1))]. 8250 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7793(a,1),8223(a,1))]. 8251 K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. [para(7796(a,1),8223(a,1))]. 8253 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7791(a,2),8223(a,1))]. 8254 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(8158(a,1),8223(a,1))]. 8259 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(8159(a,1),8247(a,1,1))]. 8260 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(23(a,1),8249(a,1,2))]. 8261 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),8249(a,1,2))]. 8262 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(110(a,1),8249(a,1,2))]. 8263 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(191(a,1),8249(a,1,1))]. 8264 K(L(x \ y,z,u),T(w,x)) != v5 | K(L(y / x,z,u),w) = v5. [para(224(a,1),8249(a,1,1))]. 8265 K(T(x,y),R(z,y,u)) != w | K(x,((y * z) * u) / (y * u)) = w. [para(706(a,2),8249(a,1,2))]. 8267 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7799(a,1),8042(a,1,1,2)),flip(a)]. 8268 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8043(a,1),42(a,1))]. 8269 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8047(a,2),7980(a,1))]. 8271 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(8068(a,1),8055(a,1))]. 8272 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7777(a,1),8072(a,1,2,2))]. 8273 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2098,a,8082,a)]. 8275 K(x,y) * K(y,K(x,z)) != u | K(x,T(y,z)) = u. [para(8082(a,1),5852(a,1,2)),flip(b)]. 8278 K(x,y \ z) * K(x,K(y,y \ z)) = K(x,z / y). [hyper(286,a,8169,a(flip),b,8093,a),flip(a)]. 8280 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7794(a,1),8093(a,1,2,2))]. 8281 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [para(8094(a,1),7023(a,1,1))]. 8282 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6253(a,1),8112(a,2,2,1))]. 8283 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(512,a,8118,a),flip(a)]. 8284 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(8118(a,1),512(a,1))]. 8285 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(6610(a,1),8119(a,1,2)),flip(a)]. 8286 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6861(a,1),8119(a,1,2)),flip(a)]. 8287 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(6892(a,2),8119(a,1,2))]. 8288 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(8120(a,1),213(a,1,2,1)),flip(a)]. 8289 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(8120(a,1),7941(a,1,1)),flip(b)]. 8290 T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). [para(5967(a,1),8121(a,1,2))]. 8291 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(8123(a,1),7941(a,1,1)),flip(b)]. 8292 T(T(x,K(y,z)),K(y,z)) * K(K(y,z) * x,T(x,K(y,z))) = R(T(x,K(y,z)),K(y,z),T(x,K(y,z))). [para(8128(a,1),5928(a,1,2,1))]. 8293 K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. [para(8145(a,1),302(a,1,2))]. 8294 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8145(a,2),6623(a,2,2,1)),flip(a)]. 8295 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(62,a,7964,a,b,8150,a)]. 8296 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(62,a,6352,a,b,8151,a)]. 8298 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4053(a,1),8157(a,1,1,1)),flip(a)]. 8300 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(286,a,6008,a,b,8171,a),flip(a)]. 8301 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [hyper(115,a,8171,a,b,5738,a(flip))]. 8302 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8171(a,1),4618(a,2,2))]. 8303 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(286,a,8234,a(flip),b,8182,a),flip(a)]. 8304 x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. [para(8191(a,1),4458(a,1,2,1))]. 8306 (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). [para(210(a,1),8197(a,1,1,2)),flip(a)]. 8307 K(x \ y,(z * x) \ y) = K(y / x,z \ (y / x)). [hyper(7431,a,8199,a(flip)),flip(a)]. 8309 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(6483,a,8202,a)]. 8310 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(62,a,7974,a(flip),b,8202,a)]. 8311 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8207(a,2),7402(a,1,2))]. 8312 K(x / (x * (y / z)),u) = K(z / y,T(u,x)). [hyper(6495,a,8214,a),flip(a)]. 8313 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(286,a,6143,a,b,8217,a),flip(a)]. 8314 T(x,y * K(z,y)) = T(x,T(y,z)). [hyper(35,a,7783,a,b,8232,a),flip(a)]. 8315 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2288(a,1),8314(a,1,2))]. 8316 T(x,(y * z) / y) = T(x,T(z,y)). [para(4636(a,2),8314(a,1,2))]. 8317 T(x,T(T(y,z),z)) = T(x,y). [para(4670(a,1),8314(a,1,2)),flip(a)]. 8318 T(x,T(y \ z,y)) = T(x,z / y). [para(4672(a,1),8314(a,1,2)),flip(a)]. 8319 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(223(a,1),8317(a,1,2,1))]. 8321 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6365(a,1),8316(a,1,2,1)),flip(a)]. 8322 T(x,((y \ z) \ z) \ z) = T(x,z / y). [para(3920(a,1),8318(a,1,2))]. 8325 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8273(a,1),6909(a,1,1))]. 8326 T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). [hyper(62,a,7628,a,b,8281,a)]. 8327 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8287(a,1),94(a,2,2))]. 8328 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(222(a,1),8295(a,1,2,2,1))]. 8329 K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). [para(222(a,1),8296(a,1,1,2,1))]. 8330 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8296(a,1),4620(a,2,2))]. 8331 (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(8300(a,2),211(a,1,1,1))]. 8332 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(9(a,1),8309(a,1,2,1,2))]. 8333 K(x,(y * z) \ z) = K(x,z / (z * y)). [para(9(a,1),8310(a,1,2,1,1))]. 8334 T(x,T(y \ z,z)) = T(x,z / y). [hyper(62,a,7716,a(flip),b,8322,a)]. 8335 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(2804(a,1),8326(a,1,1))]. 8336 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(5778,a,8335,a)]. 8337 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(8158(a,1),8335(a,1,1,2))]. 8338 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(773(a,2),8172(a,1,1))]. 8339 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4636(a,1),8172(a,1,1))]. 8340 K(x,L(T(y,z),u,w)) * z != v5 | z * K(x,L(y,u,w)) = v5. [para(25(a,2),8210(a,1,1,2))]. 8341 K(x,y \ z) * y != u | y * K(x,z / y) = u. [para(110(a,1),8210(a,1,1,2))]. 8342 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(7799(a,1),8210(a,1,1))]. 8343 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4476(a,1),8246(a,1,2))]. 8344 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7754(a,2),8248(a,1))]. 8345 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(163(a,1),8250(a,1,2))]. 8346 K(L(x \ y,x,z),T(u,z * x)) != w | K((z * y) / (z * x),u) = w. [para(94(a,2),8250(a,1,1))]. 8347 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7777(a,2),8250(a,1))]. 8349 K(R(x / y,y,z),T(u,x * z)) != w | K((y * z) \ (x * z),u) = w. [para(105(a,2),8254(a,1,1))]. 8351 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(2957(a,1),8259(a,1))]. 8352 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7723(a,2),8259(a,1))]. 8354 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3672(a,1),7831(a,1,2))]. 8355 L(R(x,y,L(x,z,u)),z,u) * (L(x,z,u) \ w) = (w / L(x,z,u)) * R(L(x,z,u),y,L(x,z,u)). [para(29(a,1),7899(a,1,1))]. 8356 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7899(a,1),6577(a,2,2))]. 8357 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(33,a,7736,a,b,7907,a)]. 8358 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(62,a,7974,a(flip),b,8357,a)]. 8359 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(76(a,1),8357(a,2,2,2))]. 8360 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(8358(a,1),4659(a,2,2)),flip(a)]. 8362 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(62,a,5899,a,b,7913,a)]. 8363 ((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(7914(a,1),4913(a,2,3))]. 8364 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(175,a,8019,a)]. 8365 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(7894(a,1),8027(a,1,1,1)),flip(a)]. 8366 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3145,a,8033,a),flip(a)]. 8367 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6892(a,2),8078(a,1,2))]. 8368 R((x / (y * z)) / K(u,K(w,y)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8085(a,1),478(a,2,2))]. 8369 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(6230,a,8106,a)]. 8370 T(x,K(y \ 1,z)) = K(y,K(z,x)) * x. [para(4781(a,1),8114(a,1,1,2)),flip(a)]. 8371 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(8136,a,8370,a)]. 8372 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(286,a,8070,a(flip),b,8370,a),flip(a)]. 8373 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(286,a,8036,a(flip),b,8370,a),flip(a)]. 8374 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(34,a,8070,a,b,8370,a(flip))]. 8375 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(34,a,8036,a,b,8370,a(flip))]. 8376 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8370(a,2),8038(a,1))]. 8377 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(286,a,8060,a,b,8371,a),flip(a)]. 8378 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(286,a,8056,a,b,8371,a),flip(a)]. 8380 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(76(a,1),8371(a,1,2,2)),flip(a)]. 8381 K(x \ 1,K(y,z)) = K(y,K(z,x)). [para(3314(a,1),8371(a,1,2)),flip(a)]. 8382 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3318(a,1),8371(a,1,2))]. 8383 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(6458(a,2),8371(a,1,2))]. 8384 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8371(a,2),8097(a,1))]. 8385 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(8134,a,8372,a)]. 8386 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(6455(a,1),8372(a,1,2)),flip(a)]. 8387 T(T(x,K(y,z)),y \ 1) = T(x,T(y \ 1,z)). [para(8372(a,1),7616(a,1,1))]. 8388 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(62,a,8122,a(flip),b,8373,a),flip(a)]. 8389 T(K(x,y \ 1) * z,K(x,y)) = z * K(x,y \ 1). [hyper(62,a,8120,a(flip),b,8373,a),flip(a)]. 8390 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8373(a,1),8124(a,1,2))]. 8391 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(286,a,8056,a,b,8374,a),flip(a)]. 8392 K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. [para(8374(a,2),8097(a,1))]. 8394 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(286,a,8056,a,b,8375,a),flip(a)]. 8396 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(76(a,1),8377(a,1,2,2)),flip(a)]. 8397 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5964(a,1),8377(a,1,2))]. 8398 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5968(a,2),8377(a,1,2))]. 8399 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6717(a,1),8377(a,1,2))]. 8400 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8377(a,1),8047(a,1,2))]. 8401 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6717(a,1),8378(a,1,2)),flip(a)]. 8402 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(62,a,6205,a(flip),b,8380,a)]. 8403 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8380(a,2),8109(a,1))]. 8404 K(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). [para(8380(a,1),8092(a,1,1))]. 8405 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(62,a,6246,a,b,8381,a)]. 8406 x * (y \ ((K(z,u) \ (y * (x \ 1))) * K(z,u))) = K(z,K(u,x * (y \ K(z,u)))). [hyper(62,a,6245,a,b,8381,a)]. 8408 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8382(a,2),8097(a,1))]. 8409 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6262(a,1),8383(a,1,2)),flip(a)]. 8411 T(x,K(y,z \ 1)) != u | T(x,K(y,z)) = u. [para(8385(a,2),8134(a,1))]. 8412 T((x \ 1) * y,K(y,x)) = (x \ 1) * y. [hyper(62,a,4601,a(flip),b,8386,a),flip(a)]. 8413 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6717(a,1),8386(a,1,2))]. 8414 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(116,a,8391,a(flip),b,5698,a),flip(a)]. 8415 K(x,K(y \ z,u)) != w | K(z \ y,K(x,u)) = w. [para(8391(a,1),6972(a,1))]. 8416 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(115,a,8394,a(flip),b,6177,a(flip))]. 8417 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6242(a,2),8394(a,1,2))]. 8419 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(62,a,7613,a(flip),b,8388,a),flip(a)]. 8420 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(286,a,4659,a(flip),b,8419,a),flip(a)]. 8421 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8398(a,2),8109(a,1))]. 8422 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8401(a,1),8109(a,1))]. 8423 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4727,a,8420,a)]. 8424 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8420(a,2),4663(a,1))]. 8425 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(62,a,7724,a(flip),b,8423,a)]. 8426 K(x,L(T(y,z \ 1),u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,2),8423(a,1,2))]. 8427 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(76(a,1),8423(a,1,2,2)),flip(a)]. 8428 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(110(a,1),8423(a,1,2)),flip(a)]. 8430 K(x,T(y,z \ (u \ 1))) = K(x,T(y,u / (z \ 1))). [para(6410(a,1),8423(a,1,2,2)),flip(a)]. 8431 K(x,T(x * y,y)) = K(x,x * y). [hyper(286,a,4775,a(flip),b,8425,a),flip(a)]. 8432 K(x,T(x * y,y)) != z | K(x,x * y) = z. [para(8425(a,2),4805(a,1))]. 8433 T(x,K(y \ z,u)) != w | T(x,K(u,z \ y)) = w. [para(6782(a,1),8376(a,1,2))]. 8434 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5964(a,1),8384(a,1,2))]. 8435 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5968(a,2),8384(a,1,2))]. 8436 K(x,K(y,((z \ 1) * u) * (w \ 1))) != v5 | K(x,K(y,w * ((u \ 1) * z))) = v5. [para(6419(a,1),8384(a,1,2,2))]. 8437 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w \ K(u,z))) = v5. [para(6730(a,1),8384(a,1,2))]. 8438 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(6717(a,1),8411(a,1,2))]. 8439 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(8388(a,2),8424(a,1))]. 8441 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(8115(a,1),8439(a,1))]. 8442 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8386(a,1),8439(a,1))]. 8444 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8318(a,1),8139(a,1,1))]. 8445 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4053(a,1),8167(a,1,1,1)),flip(a)]. 8446 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(7140,a,8168,a)]. 8447 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1622(a,1),8168(a,1,1))]. 8448 K(L(x \ K(y,x \ 1),z,u),w) = K(L(x \ 1,z,u),T(w,y)). [para(4711(a,1),8168(a,1,1,1)),flip(a)]. 8449 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(62,a,8359,a(flip),b,8175,a),flip(a)]. 8450 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1622(a,1),8176(a,1,2))]. 8451 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8250,a,8181,a)]. 8452 K(x \ K(y,x \ 1),z) = K(x,T(z,y) \ 1). [hyper(286,a,6458,a(flip),b,8185,a),flip(a)]. 8453 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8300(a,1),8186(a,1,1))]. 8454 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(62,a,7807,a(flip),b,8194,a),flip(a)]. 8455 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8198(a,2),7498(a,1))]. 8456 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8201(a,1),4659(a,2,2))]. 8457 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8201(a,2),7036(a,1))]. 8458 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8212(a,1),7736(a,1,2)),flip(a)]. 8459 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7712(a,1),8263(a,1))]. 8461 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8285(a,1),7777(a,1,1)),flip(a)]. 8463 K(x / (x * (y / x)),z) = K(y \ x,z). [hyper(286,a,7729,a(flip),b,8312,a),flip(a)]. 8464 K((x * y) \ y,z) = K(y / (y * x),z). [para(11(a,1),8463(a,1,1,2,2)),flip(a)]. 8465 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(76(a,1),8313(a,1,1,1)),flip(a)]. 8466 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5896(a,1),8315(a,1,2,1))]. 8467 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(286,a,4620,a,b,8330,a),flip(a)]. 8468 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(110(a,1),8467(a,1,2,2,1))]. 8469 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8336(a,2),42(a,1))]. 8470 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(8336(a,1),6160(a,1,1))]. 8471 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4663,a,8360,a),flip(a)]. 8472 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(62,a,6756,a,b,8471,a)]. 8473 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(6053(a,1),8364(a,1,1))]. 8474 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(6359(a,1),8367(a,1,1,2))]. 8475 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(62,a,8047,a(flip),b,8400,a),flip(a)]. 8477 T(K(x,y),z \ 1) != u | K(x,T(y,z)) = u. [para(8475(a,2),7980(a,1))]. 8478 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7723(a,2),8477(a,1))]. 8479 K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. [para(3066(a,1),8478(a,1,2))]. 8480 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4140(a,1),8478(a,1,2))]. 8482 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6745(a,1),8478(a,1,2))]. 8483 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8472(a,1),8478(a,1,2))]. 8484 K(x \ K(y,x \ 1),z) = K(x,T(z \ 1,y)). [hyper(286,a,7968,a,b,8452,a),flip(a)]. 8485 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8032(a,1),8453(a,2,1))]. 8486 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(286,a,8165,a(flip),b,8454,a),flip(a)]. 8487 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3920(a,1),8468(a,1,2,2))]. 8488 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4636(a,2),8473(a,1,1,2))]. 8490 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(7748,a,4643,a(flip)),flip(a)]. 8493 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(62,a,4810,a,b,8490,a)]. 8494 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(8490(a,1),3799(a,2,3))]. 8495 ((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(8493(a,1),93(a,1,2,2,1))]. 8496 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5839(a,1),7811(a,1))]. 8497 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(6892(a,1),7820(a,1))]. 8498 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6778(a,1),7956(a,1,2))]. 8499 T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. [para(7723(a,2),7982(a,1,1))]. 8500 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8043(a,1),8048(a,1))]. 8501 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8090(a,2),8048(a,1,2))]. 8502 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8400(a,1),8048(a,1))]. 8504 T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). [hyper(8096,a,8414,a(flip)),flip(a)]. 8506 T(1 / x,K(y,z)) \ 1 != u | T(x,K(y,z)) = u. [para(8504(a,2),303(a,1,1)),flip(b)]. 8511 K(x,L(T(y,z),z,u)) * (u * z) != w | (u * z) * K(x,(u * (y * z)) / (u * z)) = w. [para(210(a,1),8341(a,1,1,2))]. 8512 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7974(a,1),8457(a,1))]. 8513 T((x \ y) * K(z,y / x),z) != u | T(x \ y,K(z,y)) = u. [para(8159(a,1),8470(a,1,1,2))]. 8514 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7784(a,1),8496(a,1,1))]. 8515 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7784(a,1),8497(a,1,2))]. 8516 K(T(x,y),T(z,u)) != w | K(x,T(T(z,y),u)) = w. [para(7784(a,2),8499(a,1))]. 8517 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(6458(a,1),7624(a,1,1,1))]. 8518 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(34,a,4667,a(flip),b,7627,a)]. 8519 K(x \ K(y,z),y) = K(x,y \ 1). [hyper(286,a,6458,a(flip),b,8518,a),flip(a)]. 8520 K(x \ K(y,z),y) != u | K(x,y \ 1) = u. [para(8518(a,2),6476(a,1))]. 8521 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8518(a,1),6796(a,2,2)),flip(a)]. 8522 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(286,a,6624,a(flip),b,7632,a),flip(a)]. 8524 K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). [para(6696(a,1),8522(a,1,2,1)),flip(a)]. 8525 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6883(a,1),8522(a,1,2,1)),flip(a)]. 8527 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7736(a,1),8522(a,1,2,1))]. 8528 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7827(a,1),8522(a,1,2,1)),flip(a)]. 8530 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [hyper(286,a,6895,a,b,8525,a),flip(a)]. 8531 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(8525(a,1),4659(a,2,2))]. 8533 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),8527(a,1,2)),flip(a)]. 8534 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6567(a,1),8527(a,1,2,1)),flip(a)]. 8535 K(x,y \ K(z,x)) != u | K(x,y \ 1) = u. [para(8528(a,1),7026(a,1))]. 8536 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(286,a,4659,a,b,8531,a),flip(a)]. 8537 T(x,T(x,y) \ z) = T(x,x \ z). [para(4621(a,1),8536(a,1,2,1)),flip(a)]. 8538 T(x,T(y,x) \ z) = T(x,y \ z). [para(4659(a,2),8536(a,1,2,1))]. 8539 T(x,(x \ y) \ z) = T(x,(y / x) \ z). [para(6193(a,1),8536(a,1,2,1))]. 8540 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6883(a,1),8536(a,1,2,1)),flip(a)]. 8541 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7822(a,1),8536(a,1,2,1))]. 8544 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(62,a,4279,a,b,8537,a)]. 8546 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7093(a,1),8540(a,1,2,1)),flip(a)]. 8550 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(7575,a,7655,a)]. 8551 L(K(x,y),z,x \ 1) = K(x,y). [hyper(7575,a,7685,a)]. 8552 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(7685(a,1),6895(a,1,1))]. 8554 (x / L(y,z,y)) * K(u,y) = x / L(T(y,u),z,y). [para(25(a,2),7713(a,2,2))]. 8555 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(27(a,2),7726(a,2,2))]. 8557 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(7772,a,7816,a(flip)),flip(a)]. 8558 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8317(a,1),8557(a,1,1,2))]. 8559 T(x / T(y,z),y) / (y \ x) = K(z,T(y,x)). [hyper(116,a,8558,a,b,7810,a)]. 8560 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,x)). [hyper(286,a,8094,a,b,8559,a),flip(a)]. 8561 T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). [para(7883(a,1),110(a,1,1))]. 8562 R(K(x,y),z,x \ 1) = K(x,y). [hyper(7165,a,7889,a)]. 8563 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(264,a,7889,a)]. 8564 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(216,a,7889,a,b,6549,a)]. 8566 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(62,a,7402,a(flip),b,8562,a)]. 8567 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(8566(a,1),4659(a,2,2))]. 8568 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(286,a,4659,a,b,8567,a),flip(a)]. 8569 T(x,R(y,z,x \ 1)) \ x = K(y,x). [para(8567(a,2),4736(a,1,1))]. 8570 T(x,y * (x \ 1)) = T(x,y / x). [para(560(a,1),8568(a,1,2))]. 8571 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(286,a,3932,a,b,8570,a),flip(a)]. 8572 T(x,x \ (y / (x \ 1))) = T(x,y). [para(12(a,1),8571(a,1,2)),flip(a)]. 8573 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [para(8572(a,1),7163(a,1,2,1))]. 8574 K(R(x,y,z \ 1),z) = K(x,z). [hyper(4684,a,8569,a)]. 8575 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(8574(a,1),5783(a,1,1))]. 8576 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,(T(x,y) \ 1) \ y). [para(8573(a,1),4856(a,2,2)),flip(a)]. 8577 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7916(a,1),5745(a,1,2))]. 8578 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4390(a,1),7922(a,1,1))]. 8579 x * ((K(y,x) * z) * K(x,y)) = T(x * z,K(x,y)). [hyper(7665,a,7926,a)]. 8580 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(2805(a,1),7935(a,1,1,2)),flip(a)]. 8581 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [hyper(8514,a,7944,a(flip)),flip(a)]. 8582 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(7944(a,2),8514(a,1))]. 8583 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(8005(a,1),8123(a,1,1))]. 8584 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6883(a,1),8052(a,1,1)),flip(a)]. 8585 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [hyper(116,a,8088,a(flip),b,400,a)]. 8586 K(x,K(y,(z \ 1) \ (z \ u))) = (z \ u) \ (z \ T(u,K(x,y))). [hyper(115,a,872,a(flip),b,8088,a(flip)),flip(a)]. 8587 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(34,a,7767,a(flip),b,8148,a),flip(a)]. 8588 K(x,L(T(y,z),u,w / (u * y))) * z = z * K(x,((w / (u * y)) * u) \ w). [para(97(a,1),8148(a,2,2,2))]. 8589 K(x,L(T((y * z) / y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [para(243(a,1),8587(a,1,2,1,1)),flip(a)]. 8590 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5983,a,8154,a)]. 8591 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(6161,a,8590,a)]. 8592 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(62,a,4511,a(flip),b,8233,a)]. 8593 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(286,a,8042,a(flip),b,8267,a),flip(a)]. 8594 T(K(x,y),K(z,y) \ u) = T(K(x,y),u / K(z,y)). [para(7930(a,1),8593(a,1,2)),flip(a)]. 8595 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(3989(a,1),8272(a,1,2,2,2))]. 8596 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(62,a,8465,a(flip),b,8298,a),flip(a)]. 8597 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,7967,a(flip),b,8328,a)]. 8598 T(K(x,y \ 1) * z,T(x \ 1,y)) = T(z * K(x,y \ 1),x \ 1). [para(8389(a,1),8387(a,1,1)),flip(a)]. 8599 K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). [para(5896(a,1),8404(a,1,2))]. 8600 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8374(a,1),8405(a,1,1))]. 8601 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8381(a,1),8405(a,1,1))]. 8602 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8600(a,1),92(a,1,2))]. 8603 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(62,a,8600,a(flip),b,8601,a)]. 8604 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(286,a,8056,a,b,8603,a)]. 8605 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8603(a,1),8058(a,1))]. 8606 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8603(a,2),8058(a,1))]. 8607 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(7012(a,1),8417(a,2,2))]. 8608 K(x,L(T(y,z \ 1),u,w)) = K(x,L(T(y,z),u,w)). [para(25(a,2),8426(a,2,2))]. 8609 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(4730,a,8456,a),flip(a)]. 8610 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(9(a,1),8609(a,1,2,1,1)),flip(a)]. 8611 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4757(a,1),8610(a,1,2)),flip(a)]. 8615 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8530(a,2),6902(a,1))]. 8617 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(6193(a,1),8615(a,1,2,1))]. 8618 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(5995(a,1),8615(a,1,2,1))]. 8619 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(7795(a,1),8615(a,1,2,1,2))]. 8620 K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. [para(7822(a,1),8615(a,1,2,1))]. 8621 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(5803(a,1),8620(a,1,2,1))]. 8622 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7723(a,2),8555(a,1,1))]. 8623 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(25(a,2),8564(a,2,2))]. 8624 T(x * y,K(x,z)) = x * T(y,K(z,x)). [para(8118(a,1),8579(a,1,2)),flip(a)]. 8625 T(x * (y * K(x,z)),K(x,z)) = x * (K(x,z) * y). [para(6894(a,1),8624(a,2,2))]. 8626 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8031(a,1),8581(a,1,1))]. 8627 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(7016(a,1),8584(a,1,1))]. 8628 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [para(4659(a,2),8585(a,1,1))]. 8629 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4727,a,8592,a)]. 8630 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6154(a,1),8629(a,1,2,1)),flip(a)]. 8631 K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(499(a,1),8608(a,1,2)),flip(a)]. 8632 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),8622(a,1,2)),flip(a)]. 8633 T(x * (y * K(x,z)),K(x,z)) = T(x,z) * y. [hyper(286,a,4638,a(flip),b,8625,a),flip(a)]. 8634 T(x * (y * K(x,z)),K(x,z)) != u | T(x,z) * y = u. [para(8625(a,2),5835(a,1))]. 8635 T(x * (y * z),K(x,z)) = T(x,z) * (y * T(z,x)). [para(6610(a,1),8633(a,1,1,2))]. 8636 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(286,a,347,a(flip),b,8632,a),flip(a)]. 8637 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,8636,a),flip(a)]. 8638 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7732(a,1),7626(a,1,2))]. 8639 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(62,a,5942,a(flip),b,8638,a),flip(a)]. 8640 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(244,a,8639,a)]. 8641 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6652(a,1),8640(a,1,1))]. 8642 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(116,a,8641,a(flip),b,7476,a(flip))]. 8643 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(7970,a,7743,a),flip(a)]. 8644 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(286,a,8472,a(flip),b,8643,a),flip(a)]. 8646 (T(x,y) \ 1) * T(z,T(x \ 1,y)) = z * (T(x,y) \ 1). [para(8643(a,2),108(a,1,2))]. 8647 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(62,a,8611,a(flip),b,8644,a)]. 8648 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(76(a,1),8644(a,2,2,2))]. 8649 T(x,y \ (z \ y)) = T(x,y / (y * z)). [hyper(6084,a,8647,a),flip(a)]. 8650 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8648(a,1),8138(a,1,1)),flip(a)]. 8651 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(8498,a,7958,a)]. 8652 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(8058,a,8651,a)]. 8653 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(10(a,1),8651(a,1,1)),flip(a)]. 8654 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(286,a,8056,a,b,8652,a),flip(a)]. 8655 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(10(a,1),8652(a,1,2,1)),flip(a)]. 8656 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(8097,a,8653,a)]. 8659 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(8109,a,8654,a)]. 8660 K(x,K(y,y * z)) = K(y,K(z,x)). [hyper(8080,a,8654,a)]. 8661 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(10(a,1),8654(a,1,2,1)),flip(a)]. 8662 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(8654(a,1),8094(a,1,2))]. 8664 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(62,a,8090,a(flip),b,8655,a)]. 8666 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(8422,a,8656,a)]. 8667 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(286,a,8060,a,b,8656,a),flip(a)]. 8669 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(286,a,8077,a,b,8659,a),flip(a)]. 8670 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(286,a,8077,a,b,8660,a),flip(a)]. 8671 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(286,a,8060,a(flip),b,8660,a),flip(a)]. 8672 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(62,a,8401,a(flip),b,8661,a)]. 8673 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8661(a,1),8626(a,1,1))]. 8676 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(10(a,1),8671(a,1,2,2)),flip(a)]. 8677 K(x,K(y,z * y)) = K(x,K(y,z)). [para(5991(a,2),8671(a,1,2))]. 8678 K(x,K(y,z / y)) = K(x,K(y,z)). [para(5992(a,1),8671(a,1,2)),flip(a)]. 8679 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(8671(a,1),7950(a,1,1))]. 8681 K(x,K(x / y,z)) = K(x,K(z,y)). [para(76(a,1),8672(a,1,2,2)),flip(a)]. 8682 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(8422,a,8676,a)]. 8683 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [para(8676(a,1),8278(a,1,2))]. 8684 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(8055,a,8677,a)]. 8685 K(x,K(y,z * y)) = K(y,K(x,x * z)). [hyper(286,a,8670,a,b,8677,a),flip(a)]. 8687 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8677(a,2),8109(a,1))]. 8688 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(8109,a,8681,a)]. 8689 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8681(a,2),8109(a,1))]. 8690 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(286,a,8077,a,b,8682,a),flip(a)]. 8691 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(286,a,8031,a,b,8684,a),flip(a)]. 8692 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(8435,a,8688,a),flip(a)]. 8693 K(x,K(y,z / x)) = K(x,K(y,z)). [hyper(8434,a,8688,a)]. 8694 K(x,K(y,z * x)) = K(x,K(z,y)). [hyper(8421,a,8688,a),flip(a)]. 8695 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(8109,a,8690,a)]. 8696 K(x,K(y,z \ y)) != u | K(x,K(y,z)) = u. [para(8690(a,2),8109(a,1))]. 8697 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(8097,a,8691,a)]. 8698 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(8691(a,2),8055(a,1))]. 8699 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(8691(a,1),8269(a,1,2))]. 8700 K(x,K(y * x,z)) = K(x,K(y,z)). [hyper(8109,a,8694,a)]. 8701 T(x,K(y,z * x)) = x * K(x,K(z,y)). [para(8694(a,1),4659(a,2,2))]. 8702 K(x,K(y \ z,z)) = K(z,K(x,y)). [hyper(286,a,8060,a(flip),b,8695,a),flip(a)]. 8703 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8702(a,2),8097(a,1))]. 8704 L(K(x,K(y,y * z)),u,w) = K(x,K(z * x,L(y,u,w))). [para(8685(a,1),8600(a,1,1))]. 8705 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(8108,a,8701,a(flip)),flip(a)]. 8706 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),8705(a,1,2,2)),flip(a)]. 8707 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,8706,a),flip(a)]. 8708 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(8056(a,1),8689(a,1))]. 8709 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(8399(a,1),8696(a,1))]. 8710 K(x,K(y * z,L(u,z,y))) != w | K(x,K(y * z,y * (z * u))) = w. [para(18(a,2),8709(a,1,2,2))]. 8711 K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. [para(4788(a,1),8709(a,1,2))]. 8712 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(172(a,1),8711(a,1,2,2))]. 8713 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8664(a,2),8244(a,1))]. 8715 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(8342,a,8683,a)]. 8716 T(x \ y,z) * K(z,y / x) = (x \ y) * K(z,K(x,y)). [para(8683(a,1),5745(a,1,2))]. 8717 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [para(8077(a,1),8683(a,1,2))]. 8718 K(x,((y * z) / y) \ u) * K(x,K(z,T(u,y))) = K(x,u / ((y * z) / y)). [para(8166(a,1),8683(a,1,2,2))]. 8719 K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,(z \ 1) / y). [para(8377(a,1),8683(a,1,2))]. 8720 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(8102,a,8715,a)]. 8721 (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(8715(a,1),4726(a,1,1,1))]. 8722 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(8060(a,1),8715(a,1,1))]. 8723 K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). [hyper(8342,a,8720,a)]. 8724 K(x,K(y * z,y * (L(y,u,w) * z))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). [para(1235(a,1),8720(a,1,2,2))]. 8726 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(8056(a,1),8720(a,1,1))]. 8727 K(x,K(y,z)) * K(z,y / x) = K(z,x \ y). [para(8060(a,2),8720(a,1,1))]. 8729 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5977(a,2),8722(a,2,2)),flip(a)]. 8730 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [para(8077(a,1),8723(a,1,2))]. 8731 K(x,y / z) * K(x,K(z,z \ y)) = K(x,z \ y). [para(8676(a,2),8723(a,1,2))]. 8732 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2586(a,1),8726(a,2,2))]. 8733 K(x,y \ z) * K(z / y,x) = K(y,K(z,x)). [hyper(6899,a,8727,a)]. 8734 K(x,(((y \ 1) / z) * u) \ (w \ 1)) * K(x,K((u \ 1) * ((z \ 1) \ y),w)) = K(x,w \ ((u \ 1) * ((z \ 1) \ y))). [para(6504(a,2),8730(a,1,1))]. 8735 K(x \ y,z) * K(x,K(y,z)) = K(y / x,z). [hyper(5851,a,8733,a)]. 8736 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(8090(a,2),8679(a,1,1))]. 8737 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(62,a,6176,a(flip),b,8575,a),flip(a)]. 8739 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1237(a,1),8737(a,1,2,1))]. 8740 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(175,a,8739,a),flip(a)]. 8741 L(1 / x,y,z) \ (1 / x) = (L(1 / x,y,z) \ 1) / x. [hyper(327,a,8740,a),flip(a)]. 8742 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(121,a,8740,a)]. 8743 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8600(a,2),8605(a,1))]. 8744 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8056(a,1),8743(a,1,1))]. 8745 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8077(a,1),8743(a,1,1))]. 8746 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7575,a,7656,a)]. 8747 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7656(a,1),6902(a,1,1))]. 8748 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(62,a,7083,a(flip),b,8746,a)]. 8749 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(521,a,7657,a),flip(a)]. 8751 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(8749(a,1),301(a,1,2)),flip(b)]. 8752 (K(x,y) * z) * T(y,z) = z * T(y * K(x,y),z). [para(5775(a,1),7773(a,1,2)),flip(a)]. 8753 (K(x,y) * z) * T(y,z) = (y * K(x,y)) * z. [hyper(286,a,108,a(flip),b,8752,a),flip(a)]. 8754 T(x,K(y,x) * z) = T(x,z). [hyper(6057,a,8753,a)]. 8755 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(8754(a,1),4263(a,1,3))]. 8756 T(x,T(y,x) * z) = T(x,y * z). [para(4675(a,1),8754(a,1,2))]. 8757 T(x,K(x,y) \ z) = T(x,z). [para(5839(a,2),8754(a,1,2))]. 8758 T(x,K(x,y) * z) = T(x,z). [para(5846(a,1),8754(a,1,2)),flip(a)]. 8760 T(x,y * T(z,x)) = T(x,y * z). [para(6145(a,1),8754(a,1,2))]. 8762 T(x,y * K(z,x)) = T(x,y). [para(7844(a,1),8754(a,1,2))]. 8763 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(286,a,2843,a(flip),b,8758,a),flip(a)]. 8764 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(8758(a,1),5775(a,1,1))]. 8766 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(6455(a,1),8758(a,1,2,1))]. 8768 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(8758(a,1),7777(a,1,1)),flip(a)]. 8769 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7963(a,1),8758(a,1,2))]. 8770 T(x,y * K(x,z)) = T(x,y). [para(8146(a,1),8758(a,1,2))]. 8771 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(8758(a,1),8158(a,1,2))]. 8773 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8762(a,1),4660(a,1,2,1)),flip(a)]. 8777 T(x,y / (x \ z)) = T(x,y / (z / x)). [para(7112(a,1),8762(a,1,2)),flip(a)]. 8778 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8762(a,1),8177(a,1,1))]. 8781 K(x,y * K(x,z)) = x \ T(x,y). [hyper(115,a,8770,a(flip),b,4659,a(flip)),flip(a)]. 8782 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(8770(a,1),214(a,1,2,1))]. 8784 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(8770(a,1),3931(a,1,2,1))]. 8786 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7093(a,1),8770(a,1,2)),flip(a)]. 8787 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8770(a,1),8165(a,1,2))]. 8788 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8770(a,1),8161(a,1,1,1,2))]. 8789 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(8756(a,1),836(a,1,1)),flip(a)]. 8791 T(x,T(y,x \ z)) = T(x,T(y,z / x)). [para(110(a,1),8769(a,1,2,2))]. 8792 K(x,y * K(x,z)) = K(x,y). [hyper(286,a,4614,a,b,8781,a),flip(a)]. 8793 T(x,K(y,x * K(y,z))) = x. [para(8781(a,2),2801(a,1,2))]. 8794 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8781(a,2),4728(a,1))]. 8796 K(x,y * T(z,x)) = K(x,y * z). [para(6610(a,1),8792(a,1,2)),flip(a)]. 8797 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6661(a,1),8792(a,1,2)),flip(a)]. 8798 K(x,y * K(z,x)) = K(x,y). [para(6883(a,1),8792(a,1,2)),flip(a)]. 8800 K(x \ y,z / (x \ y)) = K(x \ y,z / (y / x)). [para(7112(a,1),8792(a,1,2)),flip(a)]. 8801 K(x,y / (x \ z)) = K(x,y / (z / x)). [para(7121(a,1),8792(a,1,2))]. 8802 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8792(a,1),7020(a,1,1)),flip(a)]. 8803 K(x,K(x,y) * z) = K(x,z). [para(7736(a,1),8792(a,1,2))]. 8804 K(x,K(y,x) * z) = K(x,z). [para(7827(a,1),8792(a,1,2)),flip(a)]. 8805 K(x,K(y,x * K(y,z))) = 1. [hyper(54,a,8793,a)]. 8806 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(323(a,1),8798(a,1,2))]. 8807 K(x * K(y,z),z) = 1 / K(z,x). [para(8798(a,1),4794(a,1,2)),flip(a)]. 8808 K(x,y * L(K(z,x),u,w)) = K(x,y). [para(6249(a,1),8798(a,1,2,2))]. 8809 K(x,y \ T(y * z,x)) = K(x,z). [para(6126(a,2),8798(a,1,2))]. 8810 K(x,y * K(z,x \ 1)) = K(x,y). [para(6458(a,1),8798(a,1,2,2))]. 8812 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(8798(a,1),7492(a,1,1))]. 8813 K(x,K(x,y) \ z) = K(x,z). [para(10(a,1),8803(a,1,2)),flip(a)]. 8814 K(x,T(x,y) * z) = K(x,x * z). [para(4675(a,1),8803(a,1,2))]. 8815 K(x,K(y,x) \ z) = K(x,z). [para(5839(a,2),8803(a,1,2))]. 8817 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(7387(a,1),8803(a,1,2,1))]. 8819 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(8813(a,1),8032(a,1,1)),flip(a)]. 8820 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8815(a,1),8047(a,1,2,2)),flip(a)]. 8822 K(x * K(y,z),z) = K(x,z). [hyper(286,a,4794,a(flip),b,8807,a),flip(a)]. 8823 K(x * K(y,z),z) != u | K(x,z) = u. [para(8807(a,2),4797(a,1))]. 8824 K(x * T(y,z),z) = K(x * y,z). [para(1271(a,1),8822(a,1,1))]. 8826 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8822(a,1),3867(a,1,1))]. 8827 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6249(a,1),8822(a,1,1,2))]. 8829 K(x * K(y,z \ 1),z) = K(x,z). [para(6458(a,1),8822(a,1,1,2))]. 8830 K(x * T(y,z),y) = K(x * y,y). [para(6610(a,1),8822(a,1,1)),flip(a)]. 8831 K(x * K(y,z),y) = K(x,y). [para(6883(a,1),8822(a,1,1)),flip(a)]. 8832 K(K(x,y) * z,x) = K(z,x). [para(7763(a,1),8822(a,1,1)),flip(a)]. 8833 K(K(x,y) * z,y) = K(z,y). [para(7822(a,1),8822(a,1,1))]. 8834 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8831(a,1),6101(a,1,1,1,2)),flip(a)]. 8835 K(x * (y * z),z) = K(x * (z * y),z). [para(7093(a,1),8831(a,1,1)),flip(a)]. 8838 K(K(x,y) \ z,x) = K(z,x). [para(10(a,1),8832(a,1,1)),flip(a)]. 8839 K(T(x,y) * z,x) = K(x * z,x). [para(4675(a,1),8832(a,1,1))]. 8840 K(T(x,y) \ z,x) = K(x \ z,x). [para(5715(a,1),8832(a,1,1)),flip(a)]. 8843 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8832(a,1),6820(a,1,1))]. 8844 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(7387(a,1),8832(a,1,1,1))]. 8846 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8832(a,1),8032(a,1,1)),flip(a)]. 8849 K(K(x,y \ 1) * z,y) = K(z,y). [para(6458(a,1),8833(a,1,1,1))]. 8850 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7795(a,1),8833(a,1,1,1))]. 8851 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8838(a,1),7510(a,1))]. 8852 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6717(a,1),8810(a,1,2,2))]. 8853 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7612(a,2),8814(a,1,2))]. 8854 K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). [para(7694(a,1),8824(a,1,1,2))]. 8855 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(1270(a,1),8829(a,1,1))]. 8856 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6717(a,1),8829(a,1,1,2))]. 8857 K(x * T(y,z),y) = K(y * x,y). [hyper(286,a,7011,a(flip),b,8830,a),flip(a)]. 8858 (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. [para(8839(a,1),4663(a,1,2))]. 8860 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(8840(a,1),5776(a,1,1,2))]. 8862 K(K(x,1 / y) * z,y) = K(z,y). [para(3318(a,1),8849(a,1,1,1))]. 8863 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5789(a,1),8849(a,1,1,1))]. 8866 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(286,a,8839,a,b,8857,a)]. 8867 K(x * (y / T(x,z)),x) = K(y,x). [para(12(a,1),8857(a,1,1)),flip(a)]. 8868 K((1 / x) * y,x) = K(y * (1 / x),x). [para(4605(a,1),8862(a,1,1)),flip(a)]. 8869 K(T(x,1 / y) / z,y) = K(x / z,y). [para(6144(a,1),8862(a,1,1))]. 8870 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7736(a,1),8794(a,1,2))]. 8871 K(x,y * (z * K(u,x))) = K(x,y * z). [para(92(a,1),8808(a,1,2))]. 8872 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(104(a,1),8817(a,1,2))]. 8873 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7241(a,1),8817(a,1,2,1))]. 8876 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1270(a,1),8823(a,1,1))]. 8877 K((K(x,y) * z) * u,x) = K(z * u,x). [para(104(a,1),8844(a,1,1))]. 8878 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7241(a,1),8844(a,1,1,1))]. 8880 K(x * y,x) != z | K(y * x,x) = z. [para(4605(a,1),8851(a,1,1))]. 8881 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(5170(a,1),8851(a,1,1))]. 8882 K(((x \ 1) \ 1) * y,z) != u | K(x * y,z) = u. [para(5805(a,1),8851(a,1,1))]. 8883 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(5806(a,1),8851(a,1,1))]. 8885 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(5170(a,1),8870(a,1,2))]. 8886 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(5805(a,1),8870(a,1,2))]. 8887 K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. [para(5806(a,1),8870(a,1,2))]. 8888 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4605(a,1),8873(a,1,2))]. 8889 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5715(a,1),8873(a,1,2)),flip(a)]. 8890 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5763(a,1),8873(a,1,2))]. 8891 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7963(a,1),8873(a,1,2))]. 8892 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(8209(a,1),8873(a,1,2)),flip(a)]. 8894 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4605(a,1),8878(a,1,1))]. 8895 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4644(a,1),8878(a,1,1)),flip(a)]. 8896 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8167(a,1),8878(a,1,1,1))]. 8897 K(x,y / (R(x,z,u) \ w)) = K(x,y / (w / R(x,z,u))). [para(7112(a,1),8892(a,1,2)),flip(a)]. 8898 T(x \ 1,y * x) = T(x \ 1,x * y). [para(4605(a,1),8766(a,1,2)),flip(a)]. 8899 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(286,a,7777,a(flip),b,8768,a),flip(a)]. 8900 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(286,a,7705,a,b,8777,a)]. 8901 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5846(a,1),8797(a,1,2,1)),flip(a)]. 8902 K(x,T((y \ 1) * z,u)) = K(x,T((1 / y) * z,u)). [para(5535(a,1),8797(a,1,2,1))]. 8903 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(286,a,7677,a,b,8801,a)]. 8904 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(286,a,8032,a(flip),b,8819,a),flip(a)]. 8905 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(286,a,8032,a(flip),b,8846,a),flip(a)]. 8906 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4644(a,1),8850(a,1,1)),flip(a)]. 8907 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(286,a,6017,a(flip),b,8868,a),flip(a)]. 8908 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2681(a,1),8869(a,2,1))]. 8909 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(272(a,1),8871(a,1,2,2))]. 8910 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [para(8871(a,1),7723(a,2,1))]. 8912 K(x,(y * K(x,z)) * u) = K(x,y * u). [para(8146(a,1),8872(a,1,2,1))]. 8913 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(286,a,4114,a(flip),b,8898,a),flip(a)]. 8914 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(8898(a,1),1938(a,1,2,1,1))]. 8915 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(8898(a,2),1938(a,1,1))]. 8916 x * T(x \ 1,y * x) = K(x \ 1,x * y). [para(8898(a,2),4615(a,1,2))]. 8917 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6567(a,1),8899(a,1,2,2)),flip(a)]. 8918 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8036(a,1),8899(a,1,2,2))]. 8919 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8146(a,1),8899(a,1,2,2))]. 8920 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8146(a,1),8901(a,1,2,1))]. 8921 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(8058,a,8904,a)]. 8922 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5846(a,1),8905(a,1,1)),flip(a)]. 8923 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8905(a,1),6819(a,1,3))]. 8924 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8146(a,1),8905(a,1,1))]. 8925 K(K(x,y) * z,K(x,u)) != w | K(x,K(z,u)) = w. [para(8905(a,2),8058(a,1))]. 8926 K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). [para(6605(a,1),8912(a,1,2,1))]. 8927 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(10(a,1),8913(a,1,2))]. 8928 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(8500,a,8918,a)]. 8929 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7093(a,1),8919(a,1,2,2)),flip(a)]. 8930 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7277(a,1),8919(a,1,2,2)),flip(a)]. 8931 K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). [para(6861(a,1),8920(a,1,2,1)),flip(a)]. 8932 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7723(a,1),8921(a,1,2))]. 8933 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),8876(a,1,1,2))]. 8934 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). [para(110(a,1),8891(a,1,2,2))]. 8935 K(x \ y,z * (y \ x)) = K(x \ y,z * (x / y)). [para(6696(a,1),8852(a,1,2)),flip(a)]. 8936 K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). [para(6696(a,1),8856(a,1,1)),flip(a)]. 8937 T(x / (x / y),z) = x / (x / T(y,z)). [para(4584(a,2),8860(a,1,1))]. 8940 T(x / (x / y),z) \ x = x / T(y,z). [hyper(175,a,8937,a(flip))]. 8944 T(x / y,z) \ x = x / T(y \ x,z). [para(73(a,1),8940(a,1,1,1,2))]. 8946 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(6037(a,1),8940(a,1,1,1))]. 8947 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(175,a,8944,a(flip))]. 8948 T(x / y,z) \ x = y * K(z,y \ x). [hyper(38,a,6606,a,b,8947,a),flip(a)]. 8949 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(73(a,1),8947(a,1,1,1,1)),flip(a)]. 8950 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(8947(a,1),7722(a,1,2)),flip(a)]. 8951 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(182,a,8948,a)]. 8952 T(x / y,K(z,u)) \ x = y * K(y \ x,K(z,u)). [para(8076(a,1),8948(a,2,2))]. 8953 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(5980,a,8949,a)]. 8957 T((x \ y) \ y,z) \ ((T(x,z) \ y) \ u) = T(x,z) \ ((y / T(x,z)) \ u). [para(8949(a,2),6187(a,1,1))]. 8958 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). [para(8949(a,2),7722(a,1,2))]. 8959 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(9(a,1),8951(a,1,2,2,2))]. 8960 x / T(T(y,z),y \ x) = T(y,z) \ x. [hyper(182,a,8953,a(flip))]. 8961 T(T(x,y),x \ y) = (x \ T(y,x)) \ y. [para(3928(a,1),8953(a,2,1))]. 8962 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(23(a,1),8960(a,1,2))]. 8963 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(8962(a,1),7475(a,1,2))]. 8964 K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). [para(6184(a,1),8863(a,1,1))]. 8965 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(8906(a,1),5987(a,1,2,1,2)),flip(a)]. 8966 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4861,a,8916,a)]. 8967 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(286,a,4181,a,b,8966,a)]. 8968 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(8966(a,2),6615(a,2,2))]. 8969 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). [para(4635(a,1),8931(a,1,2,1,2)),flip(a)]. 8970 K(x,T(y / z,u)) * y = y * K(x,T(z \ y,u)). [para(8950(a,1),7736(a,1,2)),flip(a)]. 8971 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(8950(a,1),8223(a,1))]. 8972 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(23(a,1),8958(a,2,2))]. 8973 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(286,a,4708,a(flip),b,8959,a),flip(a)]. 8974 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(4885(a,1),8967(a,1,2,1))]. 8975 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6487,a,8974,a)]. 8976 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(8975(a,1),4856(a,1,2)),flip(a)]. 8977 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(62,a,7402,a(flip),b,8812,a)]. 8978 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8812(a,1),4346(a,1))]. 8979 K(x,y * x) != z | K(x,x * y) = z. [para(85(a,1),8978(a,1,2))]. 8982 K(x,K(y,x) * z) != u | K(x,z) = u. [para(7822(a,1),8978(a,1,2))]. 8983 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7086(a,2),8979(a,1))]. 8985 K(x,((1 / y) * z) \ u) != w | K(x,((y \ 1) * z) \ u) = w. [para(5645(a,1),8982(a,1,2))]. 8986 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(286,a,8798,a(flip),b,8977,a),flip(a)]. 8988 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),8986(a,1,2))]. 8989 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(62,a,7241,a(flip),b,8826,a)]. 8990 K(R(x,K(y,z),u),z) = K(x,z). [hyper(286,a,8822,a(flip),b,8989,a),flip(a)]. 8992 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(31(a,1),8990(a,1,1))]. 8993 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(62,a,7083,a(flip),b,8843,a)]. 8994 K(L(x,K(y,z),u),y) = K(x,y). [hyper(286,a,8832,a(flip),b,8993,a),flip(a)]. 8996 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8994(a,1,1))]. 8997 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(7077(a,2),8881(a,1))]. 8998 K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. [para(76(a,1),8887(a,1,2,2,1))]. 8999 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(8925,a,8922,a(flip)),flip(a)]. 9002 x * K(y \ z,x / (z / y)) = (y \ z) * (x / (y \ z)). [para(8800(a,1),272(a,1,2))]. 9003 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(286,a,8047,a(flip),b,8820,a),flip(a)]. 9005 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(62,a,8594,a(flip),b,9003,a)]. 9007 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6892(a,1),9005(a,1,2))]. 9008 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),8889(a,1,2,1))]. 9009 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4585(a,1),8902(a,2,2,1))]. 9010 K(x * y,1 / y) = K(y * x,1 / y). [para(4884(a,1),8907(a,1,1,1)),flip(a)]. 9011 K((x \ y) * x,1 / x) = K(y,1 / x). [para(10(a,1),9010(a,2,1))]. 9012 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(286,a,7723,a,b,8910,a),flip(a)]. 9013 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(85(a,1),8930(a,1,2,2,1))]. 9014 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(8963(a,1),601(a,1,2))]. 9016 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6782(a,1),8976(a,2,2))]. 9017 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(286,a,8838,a(flip),b,8996,a),flip(a)]. 9019 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7093(a,1),9017(a,1,1,1)),flip(a)]. 9020 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7827(a,1),9017(a,1,1,1)),flip(a)]. 9021 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8155(a,1),9017(a,1,1,1,2))]. 9022 K(x \ K(y,z),z) = K(x,z \ 1). [hyper(6814,a,9020,a),flip(a)]. 9023 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(94(a,2),9020(a,1,1))]. 9024 K(x \ K(y,z),z) != u | K(x,z \ 1) = u. [para(9020(a,1),6814(a,1))]. 9025 K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). [para(6861(a,1),9012(a,1,2,1,2)),flip(a)]. 9026 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [para(4913(a,1),9019(a,2,1,1))]. 9027 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(62,a,9008,a(flip),b,7839,a),flip(a)]. 9029 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7165,a,7875,a)]. 9030 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4605(a,1),7875(a,1,1)),flip(a)]. 9031 (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(7875(a,1),5721(a,1,1,2))]. 9032 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(62,a,7416,a(flip),b,9029,a)]. 9033 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(62,a,7241,a(flip),b,9029,a)]. 9034 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9033(a,1),4667(a,2,1)),flip(a)]. 9035 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(9033(a,1),5900(a,1,1,1)),flip(a)]. 9036 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(286,a,4659,a,b,7973,a),flip(a)]. 9037 T(x,T(1 / y,z)) = T(x,1 / T(y,z)). [hyper(8439,a,9036,a)]. 9038 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8115(a,1),8020(a,1,2))]. 9039 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6239(a,1),8044(a,1,1)),flip(a)]. 9040 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8032(a,1),8045(a,1,1))]. 9041 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6239(a,1),8079(a,1,2)),flip(a)]. 9042 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(62,a,9039,a,b,9041,a)]. 9043 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8056(a,1),9042(a,1,1))]. 9044 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(9043(a,2),4663(a,1,2))]. 9045 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),8089(a,1,2,1))]. 9046 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(8261,a,8188,a(flip)),flip(a)]. 9047 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8188(a,2),8261(a,1))]. 9048 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(10(a,1),9046(a,1,2)),flip(a)]. 9049 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(62,a,7409,a,b,9048,a)]. 9051 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5846(a,1),9049(a,1,2)),flip(a)]. 9052 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(6567(a,1),9051(a,1,2)),flip(a)]. 9053 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(107(a,1),9047(a,1,2,1))]. 9054 K(x,T(T(y \ 1,z),u)) = K(x,T(T(y,z) \ 1,u)). [hyper(8172,a,8221,a)]. 9055 K(x,T(T((y / z) \ 1,z),u)) = K(x,T((z \ y) \ 1,u)). [para(110(a,1),9054(a,2,2,1,1))]. 9056 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4636(a,1),8230(a,1,1,1,2))]. 9057 K(x,T(y,z)) * (z / y) = (z / y) * K(x,y). [para(76(a,1),8239(a,1,2,2)),flip(a)]. 9058 K(x,T(y,z)) * (z / y) = z / T(y,x). [hyper(286,a,6605,a(flip),b,9057,a),flip(a)]. 9059 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(2786(a,1),9058(a,1,1,2))]. 9060 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4645,a,9059,a)]. 9061 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(9060(a,1),3169(a,1,2)),flip(a)]. 9062 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8155(a,1),8302(a,1,1)),flip(a)]. 9063 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9062(a,1),7569(a,2,2,2))]. 9065 K(x \ 1,x) * (K(y,z) * K(y,u)) = (y \ K(y,z)) * T(y,u). [para(8362(a,1),5565(a,1,2))]. 9066 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8155(a,1),8446(a,1,1)),flip(a)]. 9067 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(174(a,1),9066(a,1,1,2)),flip(a)]. 9070 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6981,a,9067,a),flip(a)]. 9071 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(4643(a,1),9067(a,1,2))]. 9072 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8155(a,1),9067(a,1,1))]. 9073 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(62,a,7556,a(flip),b,8449,a),flip(a)]. 9074 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(286,a,8896,a(flip),b,8461,a),flip(a)]. 9075 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8057(a,1),8485(a,2,2))]. 9076 T(x / T(y,z),y) / (y \ x) != u | K(z,T(y,x)) = u. [para(8560(a,2),8275(a,1))]. 9077 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y,K(z,y \ x)). [para(8667(a,2),8560(a,2,2))]. 9078 K(x,K(y * z,L(y,u,w))) = K(x,K(z * x,L(y,u,w))). [hyper(8743,a,8704,a)]. 9079 T((x \ y) * K(z,y / x),z) = (x \ y) * K(z,K(x,y)). [hyper(7615,a,8716,a)]. 9080 K(x,y \ (z \ 1)) * K(x,K(y,z)) = K(x,z \ (y \ 1)). [hyper(286,a,6432,a,b,8719,a),flip(a)]. 9081 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(62,a,9021,a(flip),b,8787,a)]. 9082 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8250,a,9081,a),flip(a)]. 9084 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7277(a,1),9082(a,1,1,2)),flip(a)]. 9085 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7763(a,1),9084(a,1,1,2,1)),flip(a)]. 9086 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7822(a,1),9084(a,1,1,2,1))]. 9087 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(466(a,1),9086(a,1,1))]. 9088 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1836(a,2),9030(a,1,2))]. 9089 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(286,a,8897,a,b,9032,a),flip(a)]. 9090 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(286,a,27,a,b,9034,a),flip(a)]. 9091 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8707(a,1),9038(a,1,2))]. 9092 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(9091(a,2),42(a,1))]. 9093 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(3926(a,2),9091(a,2,2,1))]. 9094 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(286,a,8377,a(flip),b,9040,a),flip(a)]. 9095 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9040(a,2),8095(a,1,1))]. 9096 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8371(a,1),9094(a,1,1))]. 9097 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8377(a,1),9094(a,1,1))]. 9098 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(62,a,9042,a(flip),b,9096,a)]. 9099 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(62,a,9096,a(flip),b,9097,a)]. 9100 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(62,a,9043,a(flip),b,9097,a)]. 9101 (K(x,K(y,z)) * u) \ K(x,K(y,R(z,u,u \ 1))) = u \ 1. [hyper(115,a,9097,a(flip),b,458,a)]. 9102 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9097(a,2),4659(a,2,2)),flip(a)]. 9103 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7417(a,1),9098(a,1,2)),flip(a)]. 9105 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3867(a,1),9100(a,1,2)),flip(a)]. 9106 K(x,T((y / z) \ 1,u)) * z = z * K(x,T((z \ y) \ 1,u)). [para(9055(a,1),7766(a,1,2)),flip(a)]. 9107 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(129,a,9056,a)]. 9108 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(9061(a,1),445(a,1,1,1))]. 9109 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(286,a,8168,a(flip),b,9072,a),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9072(a,2),8253(a,1))]. 9112 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(10(a,1),9109(a,1,2)),flip(a)]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(286,a,338,a(flip),b,9112,a),flip(a)]. 9114 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(62,a,9071,a,b,9112,a)]. 9115 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9112(a,2),339(a,1)),flip(b)]. 9117 L(K(x,y),K(z,x),u) = K(x,y). [hyper(62,a,7085,a(flip),b,9113,a)]. 9119 a(x,K(y,z),K(z,u)) = 1. [hyper(52,a,9117,a)]. 9120 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9117(a,1),92(a,1,2))]. 9121 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9117(a,1),433(a,1,2,1))]. 9122 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(9117(a,1),434(a,1,2,1))]. 9123 a(x,K(y,z),K(u,y)) = 1. [hyper(7446,a,9119,a)]. 9124 L(K(x,y),K(y,z),u) = K(x,y). [hyper(51,a,9123,a)]. 9125 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9124(a,1),92(a,1,2))]. 9126 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8155(a,1),9124(a,1,2))]. 9127 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(9126(a,1),261(a,1,2))]. 9129 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(7844(a,1),9114(a,1,2))]. 9130 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(62,a,6898,a(flip),b,9129,a)]. 9132 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [hyper(286,a,6246,a(flip),b,9130,a),flip(a)]. 9133 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(131,a,9130,a)]. 9134 L(K(x,y),z,y \ 1) = K(x,y). [hyper(62,a,8552,a(flip),b,9130,a),flip(a)]. 9135 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(10(a,1),9130(a,1,2))]. 9138 K(L(x,y,z \ 1),z) = K(x,z). [hyper(62,a,9109,a(flip),b,9134,a)]. 9139 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,7072,a(flip),b,9134,a)]. 9142 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7822(a,1),9133(a,1,1,2))]. 9143 K(x * (y * K(z,u)),z) = K(x * y,z). [para(9133(a,1),8827(a,1,1)),flip(a)]. 9144 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6605(a,1),9143(a,1,1,2))]. 9145 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7104(a,1),9143(a,1,1,2))]. 9146 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7736(a,1),9143(a,1,1,2))]. 9147 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(9146(a,1),6097(a,1,2,1,2)),flip(a)]. 9148 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(9146(a,1),6099(a,1,2,1,2)),flip(a)]. 9149 K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). [para(3889(a,1),9144(a,1,1,2))]. 9150 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6899,a,9120,a)]. 9151 R(x,K(y,z),K(z,u)) = x. [hyper(471,a,9120,a)]. 9152 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(62,a,7170,a(flip),b,9120,a),flip(a)]. 9153 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2093(a,2),9120(a,2,2))]. 9154 R(x,K(y,z),K(u,y)) = x. [hyper(62,a,7345,a,b,9151,a)]. 9155 R(x,T(K(y,z),u),K(z,w)) = x. [para(1974(a,1),9151(a,1,2))]. 9156 (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(9151(a,1),2737(a,1,1,1))]. 9157 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6249(a,1),9151(a,1,2))]. 9158 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9151(a,1),6831(a,1,1))]. 9160 R(x,K(y,z),K(u,y)) != w | x = w. [para(9154(a,1),50(a,2))]. 9161 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9154(a,1),7281(a,1,1))]. 9162 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6771(a,1),9155(a,1,3))]. 9163 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(9157(a,1),460(a,1,1))]. 9164 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9162(a,1),814(a,1,1)),flip(a)]. 9165 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(62,a,3972,a(flip),b,9158,a),flip(a)]. 9166 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(25(a,2),9158(a,1,2,2))]. 9167 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). [para(1844(a,1),9158(a,1,2))]. 9168 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9158(a,2),2098(a,1))]. 9170 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(62,a,6088,a,b,9165,a)]. 9171 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9165(a,1),6895(a,1,1))]. 9172 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9165(a,1),6897(a,1,1))]. 9173 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(9(a,1),9170(a,1,2,2)),flip(a)]. 9174 x \ R(x,T(y,x),x) = a(x,y,x). [para(204(a,1),9173(a,1,2)),flip(a)]. 9175 x \ R(x,y,x) = a(x,y,x). [para(4196(a,1),9174(a,1,2))]. 9176 K(x,y) * K(y * x,x) = a(x,y,x). [hyper(7021,a,9175,a)]. 9177 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(6082,a,9175,a)]. 9178 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(6066,a,9175,a)]. 9179 x * a(x,y,x) = R(x,y,x). [hyper(131,a,9175,a)]. 9180 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(62,a,7918,a,b,9175,a)]. 9181 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(62,a,7326,a,b,9175,a)]. 9182 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(62,a,6088,a(flip),b,9175,a)]. 9185 a(x,y,x) * x = R(x,y,x). [para(9175(a,1),3563(a,1,1))]. 9186 T(x * y,x) / x = y * a(x,y,x). [para(9175(a,1),6652(a,1,2)),flip(a)]. 9187 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9175(a,1),6918(a,1,1))]. 9188 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9175(a,1),7810(a,1,2)),flip(a)]. 9189 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9179(a,1),301(a,1,2)),flip(b)]. 9190 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(5851,a,9176,a)]. 9191 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6899,a,9177,a)]. 9192 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5851,a,9177,a)]. 9193 K(x,y) * a(y,x,y) = K(y * x,y). [para(9177(a,1),5868(a,1,2))]. 9195 a(x,y,x) * K(x,x * y) = K(x,y). [para(9177(a,1),6897(a,1,1))]. 9196 K(x,x \ y) * K(y,x) = a(x,x \ y,x). [para(10(a,1),9178(a,1,2,1))]. 9198 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9178(a,1),6902(a,1,1))]. 9199 a(x,y,x) * (y * x) = T(x * y,x). [para(9178(a,1),7185(a,1,1))]. 9200 (x * y) * a(y,x,y) = T(y * x,y). [para(9178(a,1),7187(a,1,2))]. 9201 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(62,a,1868,a,b,9186,a)]. 9202 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(10(a,1),9186(a,1,1,1)),flip(a)]. 9203 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9186(a,1),110(a,1,1))]. 9204 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9186(a,2),209(a,1,2,2))]. 9205 (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(9186(a,2),429(a,1,2,2))]. 9206 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9186(a,2),751(a,1,2,2,2))]. 9207 a(x,y,x) \ K(y * x,x) = K(y,x). [para(7011(a,2),9187(a,1,2))]. 9208 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5942(a,2),9189(a,1))]. 9209 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(286,a,7011,a,b,9191,a),flip(a)]. 9210 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(6765(a,1),9191(a,2,1))]. 9211 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(10(a,1),9192(a,1,1,2))]. 9214 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(10(a,1),9195(a,1,2,2))]. 9215 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9200(a,1),828(a,1,1,2))]. 9216 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9180(a,1),3563(a,1,1))]. 9217 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7936(a,1),9216(a,1,2)),flip(a)]. 9219 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ ((y \ z) \ 1)). [para(6717(a,1),9214(a,1,2))]. 9221 ((x \ y) * ((K(z,u) \ 1) \ 1)) * K(w,z) = ((1 / (1 / x)) \ y) * (K(z,u) * K(w,z)). [para(6121(a,1),9125(a,1,1))]. 9222 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2093(a,2),9150(a,1,1,2))]. 9223 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(216,a,9153,a,b,578,a)]. 9225 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7736(a,1),9161(a,1,1))]. 9227 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(34,a,9150,a,b,9222,a(flip))]. 9229 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(9222(a,1),6909(a,1,1))]. 9230 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(127,a,9227,a)]. 9231 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(121,a,9227,a)]. 9232 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9227(a,1),227(a,1,1)),flip(b)]. 9233 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(286,a,2093,a,b,9231,a),flip(a)]. 9234 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9233(a,1),7231(a,1,1,1)),flip(a)]. 9236 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [hyper(6951,a,9135,a),flip(a)]. 9237 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(9135(a,1),6951(a,1))]. 9238 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(116,a,9142,a(flip),b,8153,a),flip(a)]. 9239 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(9142(a,1),301(a,1,2)),flip(b)]. 9240 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(62,a,8854,a,b,9145,a)]. 9241 K(x,y) * K(y,y * x) = R(y,x,y) \ y. [hyper(114,a,9152,a,b,3590,a(flip))]. 9243 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(6079(a,1),9152(a,1,2)),flip(a)]. 9244 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7857,a,9236,a),flip(a)]. 9245 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [hyper(6854,a,9236,a),flip(a)]. 9246 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(76(a,1),9236(a,1,1,2)),flip(a)]. 9247 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4033(a,1),9236(a,2,2,1))]. 9248 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5839(a,1),9236(a,1,1,2))]. 9249 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(9236(a,1),7857(a,1))]. 9252 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(62,a,7058,a,b,9244,a)]. 9253 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(62,a,6642,a,b,9244,a)]. 9254 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(10(a,1),9244(a,1,2,1)),flip(a)]. 9255 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(4856(a,1),9244(a,1,2,1)),flip(a)]. 9256 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9244(a,1),6716(a,2,2))]. 9257 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(62,a,9236,a,b,9252,a)]. 9258 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(18(a,2),9252(a,1,2)),flip(a)]. 9259 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(94(a,2),9252(a,1,2))]. 9260 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(210(a,1),9252(a,1,2)),flip(a)]. 9261 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(9(a,1),9254(a,1,2,2))]. 9263 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1656(a,1),9258(a,1,2,2,2)),flip(a)]. 9264 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3888(a,1),9259(a,2,2,2,2))]. 9265 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(9245(a,1),7834(a,1,1))]. 9266 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(38,a,4781,a,b,9253,a),flip(a)]. 9267 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(11(a,1),9253(a,1,1,1,1,2))]. 9268 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(9266(a,1),7449(a,2,1))]. 9269 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(62,a,4495,a(flip),b,9256,a),flip(a)]. 9270 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(114,a,9256,a(flip),b,4495,a(flip)),flip(a)]. 9272 x \ K(y,x \ (y \ 1)) = y * ((x \ 1) / y). [hyper(121,a,9270,a)]. 9273 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9270(a,1),7459(a,2,2))]. 9274 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(9269(a,1),42(a,1))]. 9275 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(286,a,8867,a(flip),b,9240,a),flip(a)]. 9276 K(R(x,y,x) * z,x) = K(x * z,x). [para(9(a,1),9275(a,1,1,2)),flip(a)]. 9277 K(x * R(y,z,y),y) = K(y * x,y). [hyper(62,a,8894,a(flip),b,9276,a)]. 9278 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9277(a,1),4694(a,2,2,2))]. 9279 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(286,a,4694,a,b,9278,a),flip(a)]. 9280 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(286,a,4659,a(flip),b,9279,a),flip(a)]. 9281 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4727,a,9280,a)]. 9282 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(62,a,8888,a,b,9281,a)]. 9283 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7862,a,9282,a)]. 9284 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(286,a,4787,a(flip),b,9260,a),flip(a)]. 9286 K(x,K(y * z,L(y,u,w))) = K(x,K(z,L(y,u,w))). [hyper(286,a,8700,a(flip),b,9078,a),flip(a)]. 9287 T((x \ y) * K(z,y / x),z) = (x \ y) * K(x,K(y,z)). [para(8060(a,2),9079(a,2,2))]. 9288 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(115,a,9090,a(flip),b,5733,a),flip(a)]. 9289 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9090(a,1),7681(a,1,1,2)),flip(a)]. 9290 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9107(a,1),5844(a,1,2))]. 9291 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9107(a,1),5854(a,1,2))]. 9292 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(286,a,7788,a(flip),b,9225,a),flip(a)]. 9293 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5839(a,1),9255(a,1,2))]. 9294 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(9(a,1),9267(a,1,1,1,1)),flip(a)]. 9295 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(6152(a,1),9290(a,1,2,1,2,2)),flip(a)]. 9296 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9085(a,1),9290(a,1,2,1,2,2)),flip(a)]. 9297 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7736(a,1),9292(a,1,2))]. 9298 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(22(a,2),9293(a,1,2,2)),flip(a)]. 9299 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(3746(a,1),7814(a,2,1))]. 9300 K(x * y,x) * (K(x,y) * z) = x * (L(x,y,x) \ z). [para(9299(a,1),4644(a,1,2))]. 9301 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(286,a,7777,a(flip),b,8026,a),flip(a)]. 9303 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7754(a,1),8213(a,1,1))]. 9304 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(8222,a,6013,a),flip(a)]. 9305 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5851,a,9304,a)]. 9306 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4636(a,1),9305(a,1,2,1))]. 9307 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6753(a,1),9306(a,1,2)),flip(a)]. 9308 K((x * y) \ z,T(u,y)) != w | K(L((x \ z) / y,y,x),u) = w. [para(268(a,1),8264(a,1,1))]. 9309 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8447(a,1),8260(a,1))]. 9310 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(588(a,1),8533(a,1,2))]. 9311 K(x,a(K(x,y),z,u)) = 1. [hyper(62,a,6776,a(flip),b,9310,a),flip(a)]. 9313 T(x,a(K(x,y),z,u)) = x. [hyper(55,a,9311,a)]. 9314 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(53,a,9313,a)]. 9315 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9313(a,1),108(a,1,2))]. 9316 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9313(a,1),7822(a,1,2,1)),flip(a)]. 9317 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9314(a,1),7822(a,1,2,1)),flip(a)]. 9318 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(8031(a,1),8582(a,1,1))]. 9319 K(x,K(y,z)) * (K(y,z) * u) != w | K(y,T(z,x)) * u = w. [para(8077(a,1),8582(a,1,1))]. 9320 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8056(a,1),8602(a,2,2,2))]. 9321 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(8619,a,8778,a)]. 9323 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(8262,a,9321,a),flip(a)]. 9324 K(x,y / (z * x)) = K(x,y / (x * z)). [para(85(a,1),9323(a,1,2,2))]. 9326 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6883(a,1),9323(a,1,2,2)),flip(a)]. 9327 K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). [para(8792(a,1),9323(a,1,2,2,2))]. 9328 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(105(a,2),9324(a,2,2)),flip(a)]. 9329 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7277(a,1),9326(a,1,2,2)),flip(a)]. 9330 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(62,a,4790,a,b,9328,a)]. 9331 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(85(a,1),9329(a,1,2,2,1))]. 9332 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(271(a,1),9329(a,1,2,2,1))]. 9333 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7763(a,1),9329(a,1,2,2,1)),flip(a)]. 9334 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7822(a,1),9329(a,1,2,2,1))]. 9335 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6567(a,1),9333(a,1,2,2,1)),flip(a)]. 9336 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(466(a,1),9334(a,1,2))]. 9337 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(286,a,4660,a(flip),b,8773,a),flip(a)]. 9338 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7822(a,1),9337(a,1,2))]. 9339 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6249(a,1),9338(a,1,2,1))]. 9340 K((T(x,y) * z) \ ((x * y) * z),u) = K(R(y,T(x,y),z),T(u,x * z)). [para(8789(a,2),7792(a,1,1))]. 9342 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8830(a,1),8802(a,2,2))]. 9343 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(286,a,7015,a(flip),b,9342,a),flip(a)]. 9345 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9189,a,9343,a)]. 9346 a(x,y * K(x,z),x) = a(x,y,x). [hyper(286,a,9175,a(flip),b,9345,a),flip(a)]. 9348 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(9044,a,9102,a)]. 9349 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(38,a,6895,a,b,9132,a)]. 9351 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(6605(a,1),9229(a,1,1))]. 9352 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(62,a,9033,a(flip),b,9301,a)]. 9354 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),9352(a,1,2,2)),flip(a)]. 9355 K(x,T(y,z * x)) = K(x,T(y,z)). [para(347(a,1),9352(a,1,2,2,2))]. 9356 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(8971,a,9355,a),flip(a)]. 9357 K(x,T((y * x) \ z,y)) = K(x,z / (y * x)). [hyper(8246,a,9355,a),flip(a)]. 9358 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(286,a,7662,a,b,9355,a)]. 9359 K(x,T(y,z / x)) = K(x,T(y,z)). [para(12(a,1),9355(a,1,2,2)),flip(a)]. 9360 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(81(a,1),9355(a,1,2,2))]. 9361 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(9355(a,1),7736(a,1,2))]. 9362 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(9355(a,1),9191(a,1,2))]. 9363 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4137(a,1),9359(a,1,2))]. 9364 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(8478,a,9363,a),flip(a)]. 9365 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(8482,a,9364,a)]. 9366 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(9(a,1),9364(a,1,2,2))]. 9367 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,9365,a),flip(a)]. 9368 K(x,T(y,x * z)) = K(x,T(y,z)). [para(9(a,1),9365(a,1,2,2)),flip(a)]. 9369 K(x,L(T(y,x \ z),u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,2),9365(a,1,2))]. 9370 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(27(a,2),9365(a,1,2))]. 9371 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(9365(a,1),4659(a,2,2))]. 9373 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(9365(a,1),7241(a,1,1))]. 9374 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(9365(a,1),8034(a,1,1,2))]. 9375 T(K(x,y),x * z) = K(x,T(y,z)). [para(9(a,1),9367(a,1,2,2)),flip(a)]. 9376 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(9367(a,2),7980(a,1))]. 9377 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(286,a,7777,a,b,9368,a),flip(a)]. 9378 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(110(a,1),9368(a,1,2)),flip(a)]. 9379 (x * y) \ (T(x,z) * y) = K(x,T(z,y)). [hyper(62,a,5761,a,b,9375,a)]. 9380 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(9377(a,2),7981(a,1))]. 9381 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(162(a,1),9366(a,1,2)),flip(a)]. 9382 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(163(a,1),9366(a,1,2)),flip(a)]. 9383 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(286,a,4659,a,b,9371,a),flip(a)]. 9384 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(9371(a,2),4663(a,1))]. 9385 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(62,a,8791,a(flip),b,9383,a)]. 9386 T(x,T(y,x \ y)) = T(x,y). [para(107(a,1),9383(a,2,2))]. 9387 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(110(a,1),9383(a,1,2)),flip(a)]. 9388 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(9383(a,1),4660(a,1,2,1))]. 9389 T(x,T(x * y,y)) = T(x,x * y). [para(9(a,1),9386(a,1,2,2))]. 9390 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [hyper(286,a,8203,a,b,9385,a)]. 9391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(73(a,1),9385(a,1,2,2)),flip(a)]. 9393 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(9391(a,1),8137(a,1,2))]. 9394 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(62,a,8934,a,b,9354,a)]. 9395 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(8223,a,9358,a)]. 9396 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(9358(a,1),7860(a,1))]. 9399 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(8791(a,1),9384(a,1))]. 9401 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),9394(a,1,2,2)),flip(a)]. 9402 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(171(a,1),9394(a,1,2,2)),flip(a)]. 9403 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(286,a,8451,a,b,9395,a),flip(a)]. 9405 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(286,a,8043,a,b,9401,a),flip(a)]. 9406 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9401(a,1),8971(a,1))]. 9407 K(T(x * y,y) / x,z) = K(y,z). [hyper(9115,a,9403,a),flip(a)]. 9409 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(10(a,1),9407(a,1,1,1,1))]. 9410 K(T(x,y) / (x / y),z) = K(y,z). [para(12(a,1),9407(a,1,1,1,1))]. 9411 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6868,a,9361,a),flip(a)]. 9412 x \ (K(y,z) * (x * y)) = T(y,T(z,x)). [hyper(115,a,9361,a(flip),b,6811,a(flip))]. 9413 K(x,T(y,z)) * (y * x) = (y * x) * K(x,T(y,z)). [para(165(a,1),9361(a,1,2,2)),flip(a)]. 9415 x \ (T(y,z) * T(x,y)) = T(y,T(z,x)). [hyper(6006,a,9411,a)]. 9416 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8317(a,1),9411(a,2,2))]. 9417 T(T(x,y) * K(z,x),z) = T(x,T(y,z)). [hyper(6888,a,9415,a)]. 9418 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(116,a,9416,a(flip),b,5717,a(flip))]. 9420 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7721(a,1),9416(a,1,1))]. 9422 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9367(a,1),9416(a,1,1))]. 9423 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1736(a,1),9418(a,1,1,2))]. 9424 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8770(a,1),9418(a,1,1,2)),flip(a)]. 9425 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(286,a,9244,a(flip),b,9378,a),flip(a)]. 9426 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(9390(a,2),9399(a,1))]. 9427 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). [para(110(a,1),9393(a,1,2,2))]. 9428 K(x,T(y,(x * y) * z)) = K(x,T(y,z)). [hyper(286,a,7699,a(flip),b,9402,a),flip(a)]. 9429 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(62,a,9013,a,b,9402,a)]. 9430 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(110(a,1),9429(a,1,2)),flip(a)]. 9431 K(x,L(T(y,x \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(25(a,2),9369(a,2,2))]. 9432 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(27(a,2),9370(a,2,2))]. 9433 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(9381(a,1),4838(a,1,2))]. 9434 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(9381(a,2),8072(a,2,1))]. 9435 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(9382(a,1),7320(a,1,2))]. 9436 K(x,T(y,z)) * (y * x) = T(x * y,K(y,z)). [hyper(286,a,7097,a(flip),b,9413,a),flip(a)]. 9437 K(x,T(y,z)) * (y * x) != u | T(x * y,K(y,z)) = u. [para(9413(a,2),7100(a,1))]. 9438 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(286,a,3155,a,b,9420,a),flip(a)]. 9439 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(286,a,9418,a(flip),b,9424,a),flip(a)]. 9440 T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). [para(7121(a,1),9439(a,1,2,1))]. 9441 K(x,L(T(y,x * z),u,w)) = K(x,L(T(y,z),u,w)). [para(9(a,1),9431(a,1,2,1,2)),flip(a)]. 9442 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(9(a,1),9432(a,1,2,1,2)),flip(a)]. 9443 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(286,a,7706,a,b,9440,a)]. 9444 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4875,a,9442,a)]. 9445 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8268,a,9405,a)]. 9446 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9405(a,2),8269(a,1))]. 9447 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(10(a,1),9445(a,1,2,2)),flip(a)]. 9448 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(104(a,1),9445(a,1,2,2))]. 9449 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8422,a,9447,a)]. 9450 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(76(a,1),9449(a,1,2,2)),flip(a)]. 9451 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8435,a,9450,a),flip(a)]. 9452 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8058,a,9448,a)]. 9453 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9448(a,1),8092(a,1,1))]. 9455 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(115,a,9433,a(flip),b,5725,a),flip(a)]. 9456 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9433(a,1),6058(a,1,1)),flip(a)]. 9457 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(115,a,9435,a(flip),b,5725,a),flip(a)]. 9459 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9435(a,1),5724(a,1,2))]. 9460 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(9249,a,9444,a)]. 9461 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(62,a,7241,a(flip),b,9373,a),flip(a)]. 9462 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(62,a,8445,a,b,9461,a)]. 9463 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(105(a,1),9462(a,1,1)),flip(a)]. 9464 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8039,a,9374,a),flip(a)]. 9465 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),9464(a,1,2,2)),flip(a)]. 9467 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(62,a,9418,a(flip),b,9423,a),flip(a)]. 9468 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8325,a,9453,a),flip(a)]. 9469 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(10(a,1),9468(a,1,2,2,1)),flip(a)]. 9470 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9380,a,9469,a),flip(a)]. 9471 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),9470(a,1,2,2)),flip(a)]. 9472 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(9320(a,1),8064(a,1))]. 9473 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(435,a,9349,a)]. 9474 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3314(a,1),9473(a,1,1)),flip(a)]. 9476 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(62,a,6895,a,b,9474,a)]. 9477 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(9474(a,1),6252(a,1,1)),flip(a)]. 9478 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(9474(a,1),8518(a,1,1,2))]. 9479 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(9474(a,1),8770(a,1,2,2))]. 9481 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(9474(a,1),9151(a,1,3))]. 9482 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(9474(a,1),9473(a,1,1)),flip(a)]. 9483 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(9481(a,1),50(a,2))]. 9484 T(x,y * (z * K(x,u))) = T(x,y * z). [para(92(a,1),9479(a,1,2))]. 9485 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7083(a,1),9479(a,1,2,2))]. 9486 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(438(a,1),9485(a,1,2))]. 9487 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(9485(a,1),4622(a,1,1,1)),flip(a)]. 9488 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8061(a,1),9484(a,1,2,2))]. 9489 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(9478(a,1),6096(a,1,1,1,2)),flip(a)]. 9490 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(3235,a,9477,a)]. 9491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(302,a,9477,a),flip(a)]. 9492 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(38,a,7664,a,b,9477,a)]. 9493 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(9477(a,2),123(a,1)),flip(b)]. 9494 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(62,a,7084,a,b,9490,a)]. 9495 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(9490(a,1),258(a,1,2))]. 9496 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(62,a,8176,a(flip),b,9494,a),flip(a)]. 9497 L(K(x,y),z,y) = K(x,y). [hyper(62,a,7711,a(flip),b,9494,a),flip(a)]. 9498 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),9494(a,1,2,2)),flip(a)]. 9499 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(73(a,1),9494(a,1,2,2)),flip(a)]. 9500 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(96(a,1),9494(a,1,2))]. 9501 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(9494(a,1),7723(a,2,1))]. 9502 L(K(x,y),z,K(y,u)) = K(x,y). [para(7869(a,1),9494(a,1,2)),flip(a)]. 9503 L(K(x,y),z,K(u,y)) = K(x,y). [para(7999(a,1),9494(a,1,2)),flip(a)]. 9504 K(L(x,y,z),z) = K(x,z). [hyper(9110,a,9497,a)]. 9505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7335,a,9497,a)]. 9506 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(62,a,7069,a(flip),b,9497,a),flip(a)]. 9507 a(x,y,K(z,x)) = 1. [hyper(52,a,9497,a)]. 9508 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9497(a,1),92(a,1,2))]. 9511 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),9504(a,1,1))]. 9512 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6662(a,1),9504(a,1,1))]. 9513 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(9502(a,1),92(a,1,2))]. 9515 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(9110,a,9503,a)]. 9516 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(62,a,9023,a(flip),b,9515,a)]. 9517 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9515(a,1),4695(a,2,1,1))]. 9518 K(x,L(y,z,x)) = K(x,y). [hyper(7857,a,9498,a),flip(a)]. 9519 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(4412,a,9498,a)]. 9520 L(K(x,L(y,z,u)),L(y,z,u),w) = L(K(x,y),z * y,u). [hyper(286,a,6694,a,b,9498,a)]. 9521 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(62,a,6700,a,b,9498,a)]. 9522 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(62,a,9067,a(flip),b,9498,a)]. 9523 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(62,a,8551,a(flip),b,9498,a),flip(a)]. 9524 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(62,a,8550,a(flip),b,9498,a),flip(a)]. 9525 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(62,a,8004,a(flip),b,9498,a),flip(a)]. 9527 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(9498(a,1),8827(a,1,1,2))]. 9528 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),9518(a,1,2))]. 9529 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(691(a,1),9518(a,1,2)),flip(a)]. 9530 T(x,L(y,z,x)) = x * K(x,y). [para(9518(a,1),4659(a,2,2))]. 9531 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9518(a,1),7083(a,1,1)),flip(a)]. 9532 K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). [hyper(62,a,7240,a,b,9523,a)]. 9533 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(25(a,1),9524(a,1,2))]. 9534 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),9525(a,1,2))]. 9535 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5856(a,1),9525(a,1,2))]. 9536 T(x,L(y,z,x)) = T(x,y). [hyper(286,a,4659,a,b,9530,a),flip(a)]. 9537 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9536(a,1,2))]. 9538 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(445(a,1),9536(a,1,2)),flip(a)]. 9541 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(271(a,1),9527(a,1,1))]. 9542 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7763(a,1),9527(a,1,1)),flip(a)]. 9543 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(9542(a,1),8183(a,1,1,2)),flip(a)]. 9544 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(62,a,7056,a,b,9505,a)]. 9545 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(62,a,7052,a,b,9505,a)]. 9546 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),9505(a,1,1,1)),flip(a)]. 9547 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1569(a,1),9505(a,1,1,1)),flip(a)]. 9548 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9505(a,1),6801(a,1,2))]. 9549 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(9505(a,1),8145(a,1,1))]. 9550 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9506(a,1),6095(a,1,1,1,2))]. 9551 R(x,y,K(z,x)) = x. [hyper(7165,a,9508,a)]. 9553 R(x,y,K(z,T(x,u))) = x. [hyper(138,a,9551,a(flip))]. 9555 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(9551(a,1),31(a,1,1)),flip(a)]. 9556 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9551(a,1),468(a,1,1,1)),flip(a)]. 9557 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(9551(a,1),469(a,1,1,1)),flip(a)]. 9558 R(x,y,K(z,x \ 1)) = x. [para(6458(a,1),9551(a,1,3))]. 9559 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9553(a,1),104(a,1,1)),flip(a)]. 9560 x * K(y,T(z,u)) != z * (w * K(y,T(z,u))) | z * w = x. [para(9553(a,1),472(a,1,1)),flip(a)]. 9561 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9553(a,1),469(a,1,1,1)),flip(a)]. 9563 (x * y) * K(z,x \ 1) = x * (y * K(z,x \ 1)). [para(9558(a,1),104(a,1,1)),flip(a)]. 9566 R(x,y,T(x,z)) = R(x,y,x). [hyper(62,a,7547,a(flip),b,9555,a),flip(a)]. 9567 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(9555(a,1),768(a,1,1,2)),flip(a)]. 9570 R(x / y,z,y \ x) = R(x / y,z,x / y). [para(110(a,1),9566(a,1,3))]. 9571 R(x,y,(x \ z) \ z) = R(x,y,x). [para(109(a,1),9566(a,1,3))]. 9573 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4595(a,1),9516(a,1,1,2))]. 9575 K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). [para(4750(a,1),9516(a,1,1,2)),flip(a)]. 9576 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5846(a,1),9516(a,1,1,2)),flip(a)]. 9578 K(x \ ((y * z) \ z),y \ 1) = K(x \ (z / (y * z)),y \ 1). [para(5973(a,1),9516(a,1,1,2)),flip(a)]. 9579 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6145(a,1),9516(a,1,1,2))]. 9580 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(108(a,1),9537(a,1,2,1)),flip(a)]. 9581 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(62,a,9387,a,b,9538,a)]. 9582 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(62,a,8539,a(flip),b,9538,a)]. 9583 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(8933,a,9544,a(flip)),flip(a)]. 9584 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9544(a,1),6095(a,1,1,1,2))]. 9585 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9544(a,2),8933(a,1))]. 9586 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(9546(a,1),8933(a,1))]. 9588 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8155(a,1),9576(a,1,1,2,1))]. 9589 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8146(a,1),9576(a,1,1,2))]. 9590 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(155(a,1),9583(a,1,1))]. 9591 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7093(a,1),9589(a,1,1,2)),flip(a)]. 9592 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(286,a,4695,a,b,9517,a),flip(a)]. 9593 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(94(a,1),9592(a,1,2))]. 9594 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(9491(a,1),301(a,1,2)),flip(b)]. 9595 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(6854,a,9499,a),flip(a)]. 9596 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(286,a,9259,a(flip),b,9499,a),flip(a)]. 9597 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),9499(a,2,2))]. 9598 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(445(a,1),9499(a,2,2))]. 9599 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3006(a,1),9499(a,2,2))]. 9600 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(94(a,1),9595(a,1,2))]. 9601 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(445(a,1),9595(a,1,2)),flip(a)]. 9602 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4262(a,1),9595(a,1,2))]. 9603 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5871(a,1),9595(a,1,2)),flip(a)]. 9604 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(62,a,7427,a(flip),b,9601,a),flip(a)]. 9605 K(x,y \ (z * x)) = K(x,x / (z \ y)). [hyper(62,a,6770,a(flip),b,9601,a),flip(a)]. 9606 (x / y) \ (x * K(y,z \ (u * y))) = T(y,(u \ z) \ y). [para(9601(a,1),6821(a,1,2,2))]. 9607 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(8927(a,2),9601(a,1,2,1))]. 9608 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7175,a,9545,a)]. 9609 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7936(a,2),9570(a,2,1)),flip(a)]. 9610 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(206(a,1),9579(a,1,1)),flip(a)]. 9611 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(62,a,8538,a(flip),b,9580,a),flip(a)]. 9612 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(94(a,2),9611(a,1,2))]. 9613 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9590(a,1),6391(a,1,1,1))]. 9614 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(62,a,6167,a(flip),b,9608,a),flip(a)]. 9615 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(8933,a,9614,a),flip(a)]. 9616 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9615(a,1),4694(a,2,2,2))]. 9617 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7084(a,2),9493(a,1))]. 9618 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(9498(a,1),9521(a,1,1))]. 9619 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(62,a,7069,a(flip),b,9618,a),flip(a)]. 9621 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(286,a,7083,a(flip),b,9531,a),flip(a)]. 9622 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(445(a,1),9621(a,1,2)),flip(a)]. 9623 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(12(a,1),9585(a,1,1,1))]. 9625 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(9573(a,1),9585(a,1))]. 9626 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(286,a,9254,a(flip),b,9596,a),flip(a)]. 9627 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [para(4888(a,1),9597(a,2,2,2))]. 9628 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7722(a,1),9597(a,1,1)),flip(a)]. 9629 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(62,a,9067,a(flip),b,9598,a)]. 9630 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(62,a,7069,a(flip),b,9598,a),flip(a)]. 9631 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(9598(a,1),25(a,2,1))]. 9632 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(9598(a,1),92(a,1,2))]. 9633 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(9598(a,1),6060(a,1)),flip(b)]. 9634 L(K(x,y \ z),z,y \ 1) != u | K(x,(y \ 1) * z) = u. [para(9599(a,2),8885(a,1))]. 9635 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(73(a,1),9617(a,1,2,2))]. 9636 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(96(a,1),9617(a,1,2))]. 9638 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(7056(a,1),9625(a,1))]. 9639 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7068(a,2),9625(a,1))]. 9640 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(9513(a,1),1307(a,1,1,2))]. 9641 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8971,a,9529,a),flip(a)]. 9642 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9641(a,2),7768(a,1,1))]. 9643 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(8620,a,9535,a),flip(a)]. 9645 K(x,y \ T(x,z)) = K(x,y \ x). [para(4667(a,2),9643(a,1,2,2))]. 9646 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4605(a,1),9643(a,1,2,2)),flip(a)]. 9647 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4608(a,1),9643(a,1,2,2)),flip(a)]. 9648 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6567(a,1),9643(a,1,2,2)),flip(a)]. 9649 T(x,y \ (K(x,z) * u)) = (w / x) \ (w * K(x,y \ u)). [para(9643(a,1),6821(a,1,2,2)),flip(a)]. 9650 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(9643(a,1),7723(a,2,1))]. 9651 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8146(a,1),9643(a,1,2,2))]. 9653 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(7985,a,9645,a)]. 9654 K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). [para(110(a,1),9645(a,1,2,2))]. 9655 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(9645(a,1),7985(a,1))]. 9656 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(286,a,9261,a,b,9646,a)]. 9657 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(9647(a,1),4659(a,2,2))]. 9658 K(x,y \ (z * (x \ u))) = K(x,y \ (z * (u / x))). [para(6696(a,1),9651(a,1,2,2)),flip(a)]. 9659 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(7093(a,1),9651(a,1,2,2)),flip(a)]. 9660 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7277(a,1),9651(a,1,2,2)),flip(a)]. 9661 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(62,a,7808,a(flip),b,9653,a),flip(a)]. 9662 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(9(a,1),9656(a,1,2,1)),flip(a)]. 9663 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(9(a,1),9656(a,1,2)),flip(a)]. 9664 K(x,y \ (z * x)) != u | K(x,(y / x) \ z) = u. [para(9656(a,1),8617(a,1))]. 9665 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9656(a,1),9236(a,1,1))]. 9666 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(286,a,4659,a,b,9657,a),flip(a)]. 9667 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(9(a,1),9666(a,1,2,2,1))]. 9668 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(9666(a,2),4749(a,1))]. 9669 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(9666(a,1),4622(a,1,1,1)),flip(a)]. 9670 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(286,a,9582,a,b,9667,a)]. 9671 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(286,a,9538,a,b,9667,a)]. 9672 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9667(a,1),4660(a,1,2,1))]. 9673 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9670(a,1),4622(a,1,1,1))]. 9674 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6894(a,1),9661(a,1,2,1))]. 9676 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(56,a,9548,a)]. 9677 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(9(a,1),9548(a,2,2,1,2))]. 9678 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(9548(a,1),6902(a,1,1))]. 9679 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(33,a,8458,a(flip),b,9549,a(flip))]. 9681 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(8858,a,9556,a),flip(a)]. 9682 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(7575,a,9559,a)]. 9683 (x * y) * K(z,T(x,u)) = x * (y * T(K(z,x),u)). [para(7723(a,1),9559(a,2,2,2))]. 9684 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(62,a,7069,a(flip),b,9682,a),flip(a)]. 9686 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(9575(a,2),6101(a,1,1,1,2))]. 9687 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(62,a,8771,a(flip),b,9588,a),flip(a)]. 9688 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4605(a,1),9588(a,1,1,2)),flip(a)]. 9689 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8248,a,9687,a),flip(a)]. 9691 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9689(a,1),6895(a,1,1,2)),flip(a)]. 9692 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(430(a,1),9591(a,2,1))]. 9693 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(62,a,8541,a(flip),b,9593,a)]. 9695 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4086(a,1),9693(a,1,2,2)),flip(a)]. 9696 T(x,y \ T(x,z)) = T(x,y \ x). [para(4630(a,1),9693(a,1,2,2)),flip(a)]. 9697 T(x,y \ ((x \ z) \ u)) = T(x,y \ ((z / x) \ u)). [para(6001(a,1),9693(a,1,2,2)),flip(a)]. 9698 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(9695(a,1),6195(a,1,2,1))]. 9699 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7717,a,9696,a)]. 9701 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(430(a,1),9648(a,1,2))]. 9702 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(286,a,7723,a,b,9650,a),flip(a)]. 9703 K(x \ y,(z * x) \ y) = K(y / x,z \ (x \ y)). [hyper(286,a,8307,a,b,9654,a)]. 9704 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(286,a,8358,a(flip),b,9658,a),flip(a)]. 9705 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6883(a,1),9660(a,1,2,2,1)),flip(a)]. 9706 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(6623(a,2),9681(a,1,2))]. 9707 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [hyper(572,a,9683,a)]. 9708 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(62,a,7863,a,b,9688,a)]. 9709 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(286,a,6895,a(flip),b,9691,a),flip(a)]. 9710 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(9416(a,1),9709(a,1,2,1))]. 9711 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(286,a,8903,a(flip),b,9710,a),flip(a)]. 9713 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(108(a,1),9711(a,1,2,1))]. 9714 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(201(a,1),9711(a,1,2,1)),flip(a)]. 9715 K(x,(y / z) \ x) = K(x,z / (x \ y)). [hyper(7421,a,9713,a)]. 9716 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(9713(a,1),7421(a,1))]. 9717 K(x,(x \ y) / z) = K(x,y / (x * z)). [para(9(a,1),9714(a,1,2,2))]. 9718 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(286,a,9641,a,b,9715,a)]. 9719 K(x,(y / z) \ x) = K(x,(z * x) / y). [hyper(286,a,8903,a,b,9715,a),flip(a)]. 9720 K(x,(y / z) \ x) * u = K(x,z / (x \ y)) * u. [hyper(56,a,9715,a)]. 9721 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),9715(a,2,2,2))]. 9722 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(9715(a,2),7415(a,1,1))]. 9723 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(286,a,9324,a,b,9717,a),flip(a)]. 9724 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(286,a,9356,a,b,9719,a)]. 9725 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(286,a,8142,a,b,9719,a)]. 9726 K(x,y / (K(z,u) * x)) = K(x,(x \ y) * K(u,z)). [para(6892(a,1),9723(a,1,2)),flip(a)]. 9727 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(9718(a,2),7736(a,2,1)),flip(a)]. 9728 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(39,a,8144,a,b,9725,a)]. 9730 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(73(a,1),9728(a,1,2,1,1)),flip(a)]. 9732 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(9664,a,9730,a)]. 9733 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(62,a,9662,a(flip),b,9730,a),flip(a)]. 9734 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(73(a,1),9732(a,1,2,1)),flip(a)]. 9735 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8903(a,2),9716(a,1))]. 9736 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(9356(a,2),9735(a,1))]. 9737 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9697(a,2),4622(a,1,1,1))]. 9738 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4667(a,2),9702(a,1,2,1,2))]. 9739 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7911(a,1),9702(a,1,2,1,2))]. 9740 K(x,y \ (((x \ z) * u) * w)) = K(x,y \ (((z / x) * u) * w)). [para(7006(a,1),9705(a,1,2,2,1)),flip(a)]. 9741 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1677(a,1),9706(a,1,2)),flip(a)]. 9742 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1851(a,1),9706(a,1,2)),flip(a)]. 9743 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(1132,a,9707,a),flip(a)]. 9744 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(8455,a,9708,a(flip)),flip(a)]. 9745 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(9(a,1),9744(a,1,1,1)),flip(a)]. 9746 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(62,a,6429,a(flip),b,9745,a)]. 9747 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8880,a,9746,a)]. 9748 T(x,(y / z) \ x) = T(x,z / (x \ y)). [hyper(6009,a,9720,a)]. 9749 T(x,(y / z) \ x) = T(x,(z * x) / y). [hyper(286,a,8900,a,b,9748,a),flip(a)]. 9750 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9380,a,9733,a),flip(a)]. 9751 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(9477(a,1),9750(a,1,2))]. 9752 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(286,a,8183,a(flip),b,9543,a),flip(a)]. 9753 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4751(a,1),9752(a,1,2,2))]. 9754 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(286,a,9601,a(flip),b,9602,a),flip(a)]. 9755 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [hyper(6485,a,9627,a(flip)),flip(a)]. 9757 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1238(a,1),9628(a,1,2)),flip(a)]. 9760 L(K(x,y \ z),z,z \ 1) != u | K(x,((z \ 1) * y) \ 1) = u. [para(9755(a,2),8985(a,1))]. 9761 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6249(a,1),9476(a,1,1,2))]. 9762 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(182,a,9761,a)]. 9763 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(9761(a,1),126(a,1,2)),flip(b)]. 9765 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8155(a,1),9496(a,1,1)),flip(a)]. 9766 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(11(a,1),9765(a,1,2,2)),flip(a)]. 9767 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(174(a,1),9765(a,1,2,2)),flip(a)]. 9768 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(240(a,1),9765(a,1,2,2))]. 9770 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(62,a,7069,a(flip),b,9767,a),flip(a)]. 9771 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(12(a,1),9767(a,1,2))]. 9772 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9767(a,1),92(a,1,2))]. 9773 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4638(a,1),9767(a,1,2))]. 9774 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(340,a,9771,a),flip(a)]. 9775 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(62,a,7199,a(flip),b,9512,a)]. 9776 K(K(x \ y,x) * z,y) = K(z,y). [hyper(7510,a,9775,a),flip(a)]. 9779 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9776(a,1),4659(a,2,2)),flip(a)]. 9780 L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. [para(9520(a,1),335(a,1)),flip(b)]. 9782 K(L(x,y,z) \ 1,x) != u | K(w \ 1,L(w,v5,v6)) = u. [para(5924(a,1),9780(a,1))]. 9783 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z * K(y,u),w)) = v5. [para(6864(a,1),9780(a,1,2))]. 9784 K(L(x,y,z) \ 1,L(x,y,z)) = K(u \ 1,L(u,w,v5)). [hyper(9782,a,9519,a(flip)),flip(a)]. 9785 K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) = u * T(L(u,w,v5) \ 1,u). [para(9784(a,1),2191(a,1,1))]. 9786 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7575,a,9557,a)]. 9787 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(9780,a,9786,a)]. 9788 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9110,a,9786,a)]. 9789 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(4004(a,1),9788(a,1,1))]. 9790 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1236(a,1),9604(a,1,2)),flip(a)]. 9791 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [hyper(6863,a,9606,a),flip(a)]. 9792 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9791(a,1),7901(a,1,2))]. 9793 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(10(a,1),9792(a,1,2,2,2))]. 9794 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9671(a,2),9792(a,1,2))]. 9795 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(9(a,1),9794(a,1,2,2,1)),flip(a)]. 9796 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(9376,a,9795,a),flip(a)]. 9797 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(286,a,7161,a,b,9796,a),flip(a)]. 9798 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(62,a,7161,a,b,9797,a)]. 9799 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(9(a,1),9798(a,1,2,2)),flip(a)]. 9800 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(286,a,9364,a(flip),b,9793,a),flip(a)]. 9801 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(286,a,4694,a,b,9616,a),flip(a)]. 9802 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(9668,a,9801,a),flip(a)]. 9803 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4727,a,9802,a)]. 9804 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(9(a,1),9803(a,1,2,2)),flip(a)]. 9805 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(62,a,9646,a,b,9804,a)]. 9806 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(6847(a,2),9622(a,2,2,2)),flip(a)]. 9807 K(x,((y \ 1) * (y / z)) \ 1) != u | L(K(x,z),y,y \ 1) = u. [para(4888(a,1),9636(a,1,2,2))]. 9808 T(x,y \ (K(x,z) * u)) != w | T(x,y \ u) = w. [para(9649(a,2),6863(a,1))]. 9811 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(6108(a,1),9808(a,1,2))]. 9812 T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. [para(3084(a,2),9811(a,1,2,1))]. 9813 K(x \ y,x \ (z \ y)) = K(y / x,z \ (x \ y)). [hyper(8248,a,9734,a),flip(a)]. 9814 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(286,a,9703,a,b,9813,a)]. 9815 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(76(a,1),9814(a,2,2))]. 9816 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(286,a,7777,a,b,9739,a),flip(a)]. 9817 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(286,a,9738,a(flip),b,9739,a),flip(a)]. 9821 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6868,a,9779,a),flip(a)]. 9822 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4776(a,1),9821(a,2,1))]. 9823 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(62,a,9158,a,b,9457,a)]. 9824 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9457(a,1),5868(a,1,2))]. 9825 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(8223,a,9463,a)]. 9826 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9610(a,1),8032(a,1,1)),flip(a)]. 9827 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(430(a,1),9629(a,2,2))]. 9828 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(286,a,7723,a,b,9631,a),flip(a)]. 9829 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(9678,a,7365,a),flip(a)]. 9830 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(7365(a,1),9678(a,1))]. 9831 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),9829(a,1,2,1,2)),flip(a)]. 9832 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3000(a,1),9829(a,1,2,1)),flip(a)]. 9833 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9829(a,1),6895(a,1,1,2))]. 9834 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,8524,a,b,9831,a)]. 9835 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(9(a,1),9834(a,1,2,2))]. 9836 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(286,a,9646,a,b,9835,a),flip(a)]. 9837 (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). [para(9835(a,1),6821(a,1,2,2))]. 9838 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,8524,a(flip),b,9836,a)]. 9839 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(8(a,1),9836(a,2,2,1))]. 9840 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4669(a,1),9836(a,1,2,1)),flip(a)]. 9842 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9838(a,1),9236(a,1,1))]. 9843 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9508(a,1),9772(a,2,2))]. 9844 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(286,a,7761,a(flip),b,9825,a)]. 9845 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(76(a,1),9844(a,1,1,1)),flip(a)]. 9846 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),9845(a,1,1,2)),flip(a)]. 9848 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9053,a,9846,a),flip(a)]. 9849 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8833(a,1),9846(a,1,1))]. 9850 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7723(a,2),9828(a,1,1))]. 9851 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(156(a,1),9832(a,1,2)),flip(a)]. 9853 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3013(a,1),9851(a,1,2,1)),flip(a)]. 9854 (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(4497(a,2),9843(a,2,2))]. 9855 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6854,a,9850,a)]. 9857 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(286,a,9724,a(flip),b,9855,a),flip(a)]. 9858 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9855(a,2),9736(a,1))]. 9859 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),9857(a,1,2,1,1)),flip(a)]. 9860 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4054(a,1),9859(a,1,2,1)),flip(a)]. 9861 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4078(a,2),9859(a,1,2,1)),flip(a)]. 9862 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(286,a,400,a(flip),b,7630,a),flip(a)]. 9863 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(286,a,7777,a(flip),b,7787,a),flip(a)]. 9865 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7777(a,1),7821(a,1,1,2))]. 9866 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8165(a,1),8220(a,1,1)),flip(a)]. 9867 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(570,a,9866,a),flip(a)]. 9868 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(6443,a,9867,a)]. 9869 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5756(a,1),9868(a,1,2))]. 9870 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(6149(a,1),9869(a,2,2))]. 9873 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(8288(a,1),9411(a,1,2)),flip(a)]. 9874 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9047,a,8311,a),flip(a)]. 9876 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4621(a,1),9874(a,1,2,2)),flip(a)]. 9877 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7736(a,1),9874(a,1,2,2))]. 9878 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(62,a,7407,a,b,9876,a)]. 9879 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),9878(a,1,2))]. 9880 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9877(a,1),6895(a,1,1,2)),flip(a)]. 9881 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3565(a,1),9879(a,2,2))]. 9882 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(286,a,6895,a(flip),b,9880,a),flip(a)]. 9883 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(62,a,7243,a(flip),b,9882,a)]. 9884 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5846(a,1),9882(a,1,1,2)),flip(a)]. 9886 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(286,a,7237,a(flip),b,9883,a),flip(a)]. 9887 R(K(x,y),x \ z,u) = R(K(x,y),z / x,u). [para(4699(a,1),9886(a,1,2)),flip(a)]. 9888 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9887(a,2),7395(a,1,1))]. 9889 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9888(a,1),43(a,1)),flip(a)]. 9890 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8338,a,9138,a)]. 9891 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(286,a,6185,a(flip),b,8444,a),flip(a)]. 9892 T(T(x,y / z),K(z,z \ y)) = T(x,z \ y). [hyper(33,a,8124,a,b,8444,a(flip))]. 9893 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(115,a,9891,a(flip),b,4638,a)]. 9894 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(62,a,6620,a(flip),b,8580,a),flip(a)]. 9895 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(7896(a,1),8583(a,1,1,2))]. 9896 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8501,a,8595,a),flip(a)]. 9898 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,7776,a(flip),b,9896,a),flip(a)]. 9899 K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). [para(8666(a,1),8599(a,1,1))]. 9900 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(286,a,8695,a(flip),b,8607,a),flip(a)]. 9901 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(76(a,1),9900(a,1,2,2,1,2))]. 9902 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(8885,a,9901,a)]. 9903 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(62,a,7316,a(flip),b,8673,a),flip(a)]. 9904 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5736(a,1),8755(a,1,2))]. 9905 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5736(a,1),9904(a,2,2))]. 9906 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9905(a,1),425(a,1,2)),flip(a)]. 9907 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3928(a,1),9906(a,1,2,1))]. 9908 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3928(a,1),9907(a,2,2,2))]. 9909 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9908(a,1),3959(a,1,1))]. 9910 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(7045,a,8782,a)]. 9911 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4792(a,1),8973(a,1,2,2))]. 9913 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7723(a,2),9009(a,2,2))]. 9914 (K(x,y) * K(x,z)) \ K(u,u \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(9065(a,1),3553(a,1,1)),flip(a)]. 9915 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(9065(a,1),7568(a,1,2))]. 9916 T(x / T(y,z),y) / (y \ x) = K(z,y) * K(y \ x,K(z,y)). [para(8031(a,1),9077(a,2,2))]. 9917 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8378(a,1),9095(a,1,1,1)),flip(a)]. 9918 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9043(a,1),9917(a,2,1))]. 9919 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(4743,a,9918,a),flip(a)]. 9920 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8376,a,9919,a),flip(a)]. 9921 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(62,a,9348,a(flip),b,9920,a)]. 9922 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(615(a,1),9921(a,1,2,2)),flip(a)]. 9923 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(621(a,1),9149(a,2,1,2,1))]. 9924 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9186(a,1),9201(a,1,1)),flip(a)]. 9925 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5839(a,1),9237(a,1,1,2))]. 9926 K(x,y \ (x \ z)) != u | K(x,(y * x) \ z) = u. [para(9257(a,1),9237(a,1))]. 9929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(9268(a,1),6274(a,1,2)),flip(a)]. 9930 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(9274,a,9273,a)]. 9931 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9930(a,1),6895(a,1,1,2)),flip(a)]. 9932 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(286,a,6895,a(flip),b,9931,a),flip(a)]. 9933 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(10(a,1),9932(a,1,1,1)),flip(a)]. 9934 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(62,a,6702,a,b,9933,a)]. 9935 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(62,a,7069,a(flip),b,9934,a)]. 9936 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(62,a,9139,a(flip),b,9935,a),flip(a)]. 9938 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(286,a,8855,a(flip),b,9936,a),flip(a)]. 9939 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8933,a,9938,a)]. 9940 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(62,a,9026,a(flip),b,9939,a)]. 9941 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(286,a,9583,a(flip),b,9940,a),flip(a)]. 9942 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9941(a,1),5987(a,1,2,1,2))]. 9943 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(62,a,9460,a(flip),b,9294,a),flip(a)]. 9944 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(286,a,8796,a(flip),b,9298,a),flip(a)]. 9945 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(62,a,7441,a(flip),b,9944,a)]. 9946 K(x,K(y \ x,y) * z) = K(x,z). [hyper(4871,a,9945,a),flip(a)]. 9950 K(x,y * K(z \ x,z)) = K(x,y). [hyper(62,a,7849,a(flip),b,9946,a)]. 9951 K(x,(y \ x) * z) = K(x,(x / y) * z). [para(6188(a,1),9946(a,1,2))]. 9953 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(7054(a,1),9950(a,1,2)),flip(a)]. 9955 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(286,a,9306,a(flip),b,9307,a),flip(a)]. 9956 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(10(a,1),9955(a,1,2,1,1)),flip(a)]. 9957 K(x * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). [hyper(286,a,8183,a(flip),b,9327,a),flip(a)]. 9958 K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). [hyper(8339,a,9957,a)]. 9959 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(64(a,1),9630(a,2,1))]. 9960 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1124(a,1),9630(a,2,1))]. 9961 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(9959(a,1),8401(a,1,2)),flip(a)]. 9963 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(64(a,1),9632(a,1,2,2)),flip(a)]. 9965 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(286,a,7444,a(flip),b,9674,a),flip(a)]. 9967 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(62,a,9603,a(flip),b,9965,a)]. 9968 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4674(a,1),9967(a,1,2,2))]. 9969 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(73(a,1),9968(a,1,2,2,2))]. 9970 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9969(a,1),9636(a,1))]. 9971 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4572(a,1),9676(a,2,1)),flip(a)]. 9972 (((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(9698(a,1),7013(a,1,2,1))]. 9973 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4776(a,1),9822(a,1,1,1))]. 9974 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6570,a,9973,a),flip(a)]. 9975 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9974(a,2),437(a,2,2))]. 9976 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6902,a,9833,a),flip(a)]. 9977 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9833(a,1),6902(a,1))]. 9978 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(62,a,9019,a(flip),b,9976,a)]. 9979 L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9976(a,1),6095(a,1,1,1,2))]. 9980 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(10(a,1),9978(a,1,1,1,2)),flip(a)]. 9982 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9978(a,1),4694(a,2,2,2)),flip(a)]. 9983 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8933,a,9980,a)]. 9984 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(9980(a,1),8933(a,1))]. 9985 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(8(a,1),9983(a,2,1,1))]. 9986 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(62,a,7139,a,b,9985,a)]. 9987 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(62,a,7075,a,b,9985,a)]. 9988 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(9019(a,1),9977(a,1))]. 9989 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(9(a,1),9862(a,1,2,2,1,2))]. 9990 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(8866(a,1),9863(a,1,1,1,1,2)),flip(a)]. 9991 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(286,a,9894,a(flip),b,9893,a),flip(a)]. 9992 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,9465,a(flip),b,9898,a)]. 9993 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7980,a,9992,a)]. 9994 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(286,a,9725,a(flip),b,9993,a),flip(a)]. 9995 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(286,a,6358,a(flip),b,9994,a),flip(a)]. 9996 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(9910(a,1),428(a,1,2))]. 9997 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9913(a,2),8713(a,1))]. 9998 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(4813,a,9916,a),flip(a)]. 9999 T(x / T(y,z \ 1),y) = (y \ x) * K(z,y \ 1). [para(6458(a,1),9998(a,2,2))]. 10000 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(9998(a,2),6589(a,1,1))]. 10001 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(9929(a,2),5854(a,1))]. 10002 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(10001,a,6367,a),flip(a)]. 10004 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(62,a,9324,a,b,10002,a)]. 10005 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(12(a,1),10004(a,1,2,2,1)),flip(a)]. 10006 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4134(a,1),10004(a,1,2,2,1))]. 10007 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4765,a,9982,a),flip(a)]. 10009 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(62,a,8546,a,b,10007,a)]. 10010 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(6258(a,1),9989(a,1,2)),flip(a)]. 10012 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),7751(a,1,1))]. 10013 L(K(T(x,y),z) * u,K(z,T(x,y)),y) = (K(z,x) * y) \ (y * u). [para(5846(a,1),7765(a,1,2,2)),flip(a)]. 10014 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(62,a,7890,a(flip),b,7872,a),flip(a)]. 10016 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8146(a,1),10014(a,1,3))]. 10017 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7168,a,10016,a)]. 10018 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(10017(a,1),1940(a,1,1,2))]. 10019 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(10017(a,1),3403(a,1,1))]. 10020 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(62,a,7310,a(flip),b,10018,a),flip(a)]. 10023 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10020(a,1),1810(a,1,1))]. 10024 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(8021(a,1),655(a,1))]. 10025 a(x,y,T(x,z)) = a(x,y,x). [hyper(10024,a,9346,a)]. 10026 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(10024,a,9345,a)]. 10027 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(10025(a,1),7134(a,1))]. 10028 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(10026(a,2),9189(a,1))]. 10029 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8180(a,1),8366(a,1,2))]. 10030 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7723(a,2),8206(a,1,1))]. 10031 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(286,a,6101,a(flip),b,8834,a),flip(a)]. 10032 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6883(a,1),10031(a,1,2)),flip(a)]. 10033 (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(10031(a,1),7344(a,1,1,2))]. 10034 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6368(a,2),9248(a,2,2,1))]. 10035 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(7160(a,2),9248(a,2,2,1))]. 10039 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(23(a,1),9303(a,1,1,2))]. 10040 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(9351,a,7103,a)]. 10041 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9178(a,1),10040(a,1,2))]. 10042 (x * y) / L(y,z,y) = x * a(y,z,y). [para(11(a,1),10041(a,1,1)),flip(a)]. 10043 R(x / y,a(y,z,y),a(y,z,y) \ u) * u = (x / L(y,z,y)) * (a(y,z,y) \ u). [para(10041(a,1),323(a,2,1))]. 10044 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [hyper(175,a,10042,a)]. 10045 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(62,a,1663,a(flip),b,10042,a)]. 10046 a(x,y,x) \ x = L(x,y,x). [hyper(62,a,3502,a(flip),b,10044,a)]. 10047 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(829(a,1),10044(a,1,2))]. 10048 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9186(a,2),10044(a,1,1))]. 10050 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(62,a,7897,a(flip),b,10045,a)]. 10051 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(11(a,1),10045(a,1,1)),flip(a)]. 10053 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(62,a,8577,a,b,10050,a)]. 10054 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(62,a,1236,a,b,10050,a)]. 10055 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8013(a,1),10050(a,1,2,1))]. 10056 L(x,y,x) * (z * a(x,y,x)) = x * z. [hyper(131,a,10054,a)]. 10057 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(10(a,1),10054(a,1,2)),flip(a)]. 10058 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8145(a,1),10048(a,1,2))]. 10059 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(10053(a,2),42(a,1))]. 10060 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10053(a,1),4644(a,1,2))]. 10061 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(10059,a,10055,a),flip(a)]. 10063 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4862,a,9388,a),flip(a)]. 10064 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(62,a,7797,a,b,10063,a)]. 10065 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(10064(a,1),6604(a,1,1,2)),flip(a)]. 10066 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(286,a,9836,a(flip),b,9665,a),flip(a)]. 10067 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(286,a,8524,a(flip),b,9665,a),flip(a)]. 10069 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(9783,a,9766,a)]. 10071 K(x,L(y,z * K(u,y),w)) = K(x,L(y,z,w)). [para(6883(a,1),10069(a,1,2,2)),flip(a)]. 10072 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7736(a,1),10069(a,1,2,2))]. 10073 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(62,a,9773,a,b,10072,a)]. 10078 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(2610(a,1),10012(a,2,1,1))]. 10079 L(K(x,T(y,z)) * u,K(y,T(x,z)),z) = (K(y,x) * z) \ (z * u). [para(7777(a,1),10013(a,1,1,1))]. 10080 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(10030(a,1),7392(a,1,1)),flip(a)]. 10081 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [hyper(286,a,6532,a(flip),b,10039,a),flip(a)]. 10082 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2034(a,2),10067(a,2,2,1,2))]. 10083 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(10081(a,2),6575(a,1))]. 10084 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7734(a,1),10081(a,1,1))]. 10085 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9470(a,1),10084(a,1,1,1))]. 10086 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(286,a,7581,a(flip),b,7758,a),flip(a)]. 10087 K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). [para(197(a,1),10086(a,1,1,2))]. 10088 K(x \ ((y * z) \ z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(62,a,9578,a,b,10087,a)]. 10089 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8111(a,1),8086(a,1,1))]. 10090 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(10089(a,1),106(a,1,1,1)),flip(a)]. 10091 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(10089(a,1),5850(a,1,2))]. 10092 T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). [para(7964(a,2),8290(a,2,2))]. 10093 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(62,a,8319,a(flip),b,8321,a)]. 10094 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(286,a,4137,a(flip),b,10093,a),flip(a)]. 10096 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(286,a,4369,a(flip),b,10094,a),flip(a)]. 10097 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5741(a,1),8356(a,1,2)),flip(a)]. 10100 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(8758(a,1),8764(a,1,2,2)),flip(a)]. 10101 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(286,a,5775,a(flip),b,10100,a),flip(a)]. 10103 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,6376,a(flip),b,10101,a),flip(a)]. 10104 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(8935(a,1),9016(a,2,2))]. 10105 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8060(a,1),9075(a,1,1,1))]. 10106 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(9092,a,9093,a),flip(a)]. 10107 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5777(a,1),10106(a,1,1,1))]. 10108 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(6883(a,1),9121(a,1,1)),flip(a)]. 10109 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(6883(a,1),9122(a,1,1)),flip(a)]. 10110 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(9762(a,1),9163(a,1,1))]. 10115 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9217(a,2),43(a,1))]. 10116 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(9265(a,1),7835(a,1))]. 10117 K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8748(a,1),9309(a,1))]. 10118 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(10117,a,9753,a),flip(a)]. 10120 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(62,a,8929,a(flip),b,10118,a)]. 10121 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(12(a,1),10118(a,1,2,2,2)),flip(a)]. 10122 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(10(a,1),10120(a,1,2,2,2)),flip(a)]. 10123 K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). [para(75(a,1),10120(a,1,2,2)),flip(a)]. 10124 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(10122(a,1),8246(a,1))]. 10125 K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). [hyper(286,a,7727,a,b,10123,a),flip(a)]. 10126 K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). [para(12(a,1),10125(a,1,2,2)),flip(a)]. 10127 K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). [hyper(62,a,8329,a(flip),b,10126,a)]. 10128 K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). [para(73(a,1),10127(a,1,1,2,2)),flip(a)]. 10130 K(1 / (x / y),T(z,x)) != u | K(1 / (y \ x),z) = u. [para(10128(a,1),8223(a,1))]. 10131 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(4600(a,1),9360(a,1,2)),flip(a)]. 10132 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(286,a,4622,a(flip),b,9487,a),flip(a)]. 10133 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7736(a,1),10132(a,1,1))]. 10134 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(334(a,1),10133(a,1,1,1,1))]. 10135 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(6030(a,1),10134(a,1,1)),flip(a)]. 10136 K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). [para(110(a,1),10135(a,1,1,2))]. 10137 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(7575,a,9561,a)]. 10138 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(9655,a,9607,a)]. 10139 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(286,a,3962,a(flip),b,9741,a),flip(a)]. 10140 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),10139(a,1,1,2,1)),flip(a)]. 10141 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(286,a,3961,a(flip),b,9742,a),flip(a)]. 10142 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(286,a,7908,a(flip),b,9743,a),flip(a)]. 10143 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(62,a,8627,a(flip),b,10142,a)]. 10144 T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. [para(10143(a,1),8699(a,1))]. 10145 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(10144,a,9188,a),flip(a)]. 10146 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10145(a,1),10044(a,1,1))]. 10147 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(2804(a,1),10146(a,1,2))]. 10148 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7811,a,10147,a)]. 10149 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5938,a,10148,a)]. 10150 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4490(a,1),10149(a,1,1))]. 10151 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(62,a,2806,a(flip),b,10150,a)]. 10152 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(9467(a,1),10151(a,1,2))]. 10153 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7832(a,2),10152(a,1,1))]. 10154 T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). [hyper(6863,a,9837,a),flip(a)]. 10155 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(8(a,1),10154(a,2,2,1))]. 10156 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5900(a,2),9840(a,1,2,1,1))]. 10158 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9853(a,1),6800(a,1,2))]. 10159 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4578,a,9971,a),flip(a)]. 10160 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(9614(a,1),10159(a,1,1,2))]. 10161 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(286,a,10005,a(flip),b,10006,a),flip(a)]. 10162 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(62,a,9330,a,b,10161,a)]. 10163 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(76(a,1),10162(a,2,2,2,1))]. 10164 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(286,a,7815,a(flip),b,10065,a),flip(a)]. 10165 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),10164(a,2,2))]. 10166 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3948(a,2),10165(a,1,2,1)),flip(a)]. 10167 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [hyper(286,a,4659,a,b,10092,a),flip(a)]. 10169 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(110(a,1),10167(a,2,2,2))]. 10170 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(116,a,7412,a(flip),b,10108,a)]. 10171 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(286,a,2095,a(flip),b,10110,a),flip(a)]. 10172 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(62,a,9855,a(flip),b,10138,a)]. 10173 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [para(9133(a,1),10171(a,1,1))]. 10174 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(64(a,1),10172(a,1,2,1))]. 10175 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(286,a,9730,a(flip),b,10174,a)]. 10176 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(62,a,9855,a(flip),b,10175,a)]. 10177 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(64(a,1),10176(a,1,2,1)),flip(a)]. 10179 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(9757(a,2),7977(a,1))]. 10180 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(10179,a,10137,a)]. 10181 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(10(a,1),10180(a,1,2,2)),flip(a)]. 10182 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(9486(a,1),10180(a,1,2))]. 10183 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),10182(a,1,2,2,2))]. 10184 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8786(a,1),10182(a,1,2))]. 10185 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(9396,a,10184,a),flip(a)]. 10187 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(62,a,8906,a,b,10185,a)]. 10188 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(9396,a,10183,a),flip(a)]. 10189 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),10188(a,1,2,2)),flip(a)]. 10190 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(62,a,9427,a,b,10189,a)]. 10191 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(62,a,9860,a(flip),b,10190,a)]. 10192 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(62,a,9721,a(flip),b,10191,a),flip(a)]. 10193 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9380,a,10192,a),flip(a)]. 10194 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,9027,a(flip),b,10193,a)]. 10195 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8833(a,1),8000(a,1,1))]. 10196 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(8754(a,1),10195(a,1,2)),flip(a)]. 10198 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(286,a,5718,a(flip),b,10196,a),flip(a)]. 10200 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5741(a,1),10198(a,1,2))]. 10201 L(x,T(y,K(x,z)),x) = L(x,y,x). [para(8073(a,1),10198(a,1,2))]. 10202 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3565(a,2),8218(a,1,1))]. 10203 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(286,a,8043,a,b,8224,a)]. 10204 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(9865(a,2),9127(a,1))]. 10205 K(x,T((y / z) \ x,u)) = K(x,T(z / (x \ y),u)). [hyper(9642,a,9727,a),flip(a)]. 10206 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(10205(a,2),4659(a,2,2)),flip(a)]. 10207 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10206(a,1),4663(a,1))]. 10208 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(10207,a,9581,a)]. 10209 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(73(a,1),10208(a,1,2,1,1)),flip(a)]. 10210 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(286,a,4622,a(flip),b,9669,a),flip(a)]. 10211 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(9(a,1),10210(a,1,1,2,1))]. 10212 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9672(a,1),4862(a,1))]. 10213 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4859,a,9673,a),flip(a)]. 10215 K(x \ 1,L(x,y,z)) * (u / L(u,w,v5)) != v6 | (L(u,w,v5) \ 1) * u = v6. [para(9785(a,2),262(a,1))]. 10216 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(286,a,8057,a(flip),b,9826,a),flip(a)]. 10217 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(6159,a,9942,a),flip(a)]. 10218 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(4914(a,1),10217(a,1,1,1))]. 10219 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(286,a,9684,a(flip),b,10218,a),flip(a)]. 10220 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(62,a,9890,a(flip),b,10219,a),flip(a)]. 10221 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8250,a,10220,a),flip(a)]. 10222 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(286,a,7497,a,b,10221,a),flip(a)]. 10223 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(9(a,1),10222(a,1,1,1)),flip(a)]. 10224 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(11(a,1),10223(a,1,1,1)),flip(a)]. 10225 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [para(4893(a,1),10224(a,1,1,2,2,1))]. 10226 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(62,a,10088,a,b,10225,a)]. 10228 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7909(a,1),10080(a,1,1))]. 10229 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8144(a,1),10085(a,1,1)),flip(a)]. 10230 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(129,a,10229,a)]. 10232 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(9(a,1),10230(a,1,1,1,1))]. 10233 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(6908,a,10173,a)]. 10234 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6883(a,1),10233(a,1,2)),flip(a)]. 10235 T(x,a(y,z,K(x,u))) = x. [para(10234(a,1),8763(a,1,2))]. 10236 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9129(a,1),10234(a,1,2))]. 10237 a(x,y,K(z,u)) * z = z * a(x,y,K(z,u)). [para(10235(a,1),108(a,1,2))]. 10238 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10235(a,1),7736(a,1,2,2)),flip(a)]. 10239 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(9763,a,10236,a)]. 10240 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5934,a,10236,a)]. 10241 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5851,a,10236,a)]. 10242 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2097,a,10236,a)]. 10244 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7083(a,1),10236(a,1,2))]. 10245 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10236(a,1),7469(a,1,1)),flip(a)]. 10247 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(9473(a,1),10236(a,1,2))]. 10248 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(4564,a,10239,a)]. 10249 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(33,a,9491,a,b,10242,a)]. 10251 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(9498(a,1),10242(a,1,1))]. 10252 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(9987(a,1),10248(a,1,1))]. 10253 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(7076(a,1),10249(a,1,1))]. 10254 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10244(a,1),6044(a,2,2))]. 10255 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(9765(a,1),10251(a,1,1)),flip(a)]. 10256 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(9491(a,1),10245(a,1,2)),flip(a)]. 10257 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(115,a,5846,a(flip),b,10256,a),flip(a)]. 10258 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(6249(a,1),10247(a,1,1))]. 10259 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(286,a,10242,a(flip),b,10255,a),flip(a)]. 10260 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(6603(a,1),10259(a,1,2))]. 10262 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5865,a,10252,a)]. 10263 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(34,a,10242,a,b,10262,a)]. 10264 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5991(a,2),10263(a,1,1))]. 10265 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(6935(a,1),10263(a,2,2,2,1))]. 10266 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(424(a,1),10264(a,2,2))]. 10267 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(286,a,7088,a(flip),b,10266,a),flip(a)]. 10269 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(5859(a,1),10202(a,2,2))]. 10270 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(10202(a,1),8378(a,2,2))]. 10271 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(10204,a,8237,a)]. 10272 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8236(a,1),10271(a,1,2)),flip(a)]. 10273 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7253(a,1),10272(a,2,2))]. 10274 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8097,a,10216,a)]. 10275 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(62,a,10030,a(flip),b,10228,a),flip(a)]. 10276 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7279(a,2),10275(a,1,1))]. 10277 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(10276(a,1),4783(a,1))]. 10278 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = (T(x,y \ 1) * T(y \ 1,z)) * K(y \ 1,u). [para(7641(a,1),6811(a,1,1)),flip(a)]. 10279 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(6675(a,2),7642(a,2,1))]. 10280 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(8200(a,2),7745(a,1,2,1,2))]. 10281 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1141(a,1),7855(a,1,2)),flip(a)]. 10282 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(7387(a,1),7917(a,1,2)),flip(a)]. 10283 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(286,a,2956,a,b,10282,a),flip(a)]. 10284 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8514,a,7957,a)]. 10285 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(286,a,7156,a,b,8294,a),flip(a)]. 10286 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3102(a,1),8494(a,1,3))]. 10287 K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). [para(6654(a,1),8908(a,1,1))]. 10288 K((x \ y) / (1 / x),1 / x) = K((y / x) / (x \ 1),1 / x). [hyper(62,a,5809,a(flip),b,10287,a)]. 10289 K((x \ y) / (1 / x),1 / x) = K((y / x) / (1 / x),1 / x). [hyper(286,a,5809,a(flip),b,10288,a),flip(a)]. 10290 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10289(a,2),4701(a,2,2))]. 10291 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7846(a,1),8957(a,2,2))]. 10293 K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. [para(8969(a,2),8339(a,1))]. 10294 L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(7249(a,1),9063(a,1,2,2))]. 10295 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7992(a,1),9164(a,1,2)),flip(a)]. 10297 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1548(a,2),9204(a,1,2,2))]. 10298 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(286,a,9290,a(flip),b,9295,a),flip(a)]. 10299 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(76(a,1),10298(a,1,2,1,1)),flip(a)]. 10300 x * K(y,T((x \ z) \ 1,u)) = K(y,T(x / z,u)) * x. [para(10299(a,1),9106(a,1,1)),flip(a)]. 10301 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(33,a,8970,a(flip),b,10300,a),flip(a)]. 10302 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6483,a,10301,a)]. 10303 K(x,T(1 / (y \ x),z)) = K(x,T(y / x,z)). [hyper(286,a,4789,a(flip),b,10302,a),flip(a)]. 10305 K(x,K(y,z)) * K(y,x / y) = K(y,T(x / y,z)). [hyper(62,a,9899,a,b,10303,a)]. 10306 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(286,a,9511,a(flip),b,9692,a),flip(a)]. 10307 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(9988,a,10306,a)]. 10320 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10061(a,1),10047(a,1,1,2))]. 10322 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8316(a,1),10107(a,2,1,2))]. 10323 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),10140(a,1,1,2,1)),flip(a)]. 10324 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),10141(a,1,1,2,1))]. 10325 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(6485,a,10156,a)]. 10326 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(10215,a,6321,a),flip(a)]. 10327 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(175,a,10326,a)]. 10328 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(10327(a,1),7539(a,1,1))]. 10329 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10328(a,1),3783(a,2,1))]. 10330 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7840,a,10254,a)]. 10331 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(166(a,1),10330(a,1,2,2))]. 10332 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(62,a,7636,a,b,10281,a)]. 10333 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(7723(a,2),10284(a,1,2,1))]. 10334 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4231(a,1),10285(a,2,1))]. 10335 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(7011(a,1),10334(a,1,2))]. 10336 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(8946(a,1),10286(a,1,3,2))]. 10337 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(108(a,1),10297(a,1,2)),flip(a)]. 10338 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(7637,a,10332,a)]. 10339 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7953(a,1),7954(a,1,3)),flip(a)]. 10340 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(10339(a,1),43(a,1))]. 10341 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * (y * z)) / (u * z)). [hyper(33,a,7767,a,b,8306,a)]. 10342 x * K(y,L(z,u,w / (u * z))) = x * K(y,((w / (u * z)) * u) \ w). [hyper(8340,a,8588,a)]. 10343 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8109,a,9103,a)]. 10344 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(286,a,6097,a(flip),b,9147,a),flip(a)]. 10345 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(286,a,6099,a(flip),b,9148,a),flip(a)]. 10346 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4740(a,1),10345(a,1,1)),flip(a)]. 10347 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7723(a,2),9238(a,1,1))]. 10348 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(6311,a,9550,a),flip(a)]. 10350 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(6311,a,9584,a),flip(a)]. 10351 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(94(a,2),10350(a,1,1))]. 10352 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(62,a,10066,a(flip),b,9842,a),flip(a)]. 10353 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1118(a,1),9995(a,1,2,1))]. 10354 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8304(a,2),10058(a,1,1))]. 10356 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(286,a,146,a(flip),b,10090,a),flip(a)]. 10357 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(286,a,4652,a,b,10356,a),flip(a)]. 10359 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(286,a,8056,a,b,10357,a),flip(a)]. 10360 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8877(a,1),10103(a,1,1,2))]. 10361 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(62,a,6376,a(flip),b,10360,a),flip(a)]. 10363 ((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(10361(a,1),7479(a,2,2,2,1,1))]. 10364 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7803(a,1),10361(a,1,2)),flip(a)]. 10365 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(8317(a,1),10364(a,1,2))]. 10366 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9(a,1),10232(a,2,2,1,1))]. 10367 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10366(a,1),227(a,1,1)),flip(b)]. 10373 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(10343(a,1),8109(a,1))]. 10374 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8917(a,1),10347(a,1,1))]. 10375 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(10083,a,10374,a)]. 10377 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(6572,a,10375,a(flip)),flip(a)]. 10378 K((x * y) / (x * (z \ y)),u) != w | K(z,(x * y) / (x * (u \ y))) = w. [para(10375(a,2),6572(a,1))]. 10379 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(62,a,6532,a(flip),b,10377,a),flip(a)]. 10380 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10379(a,2),10367(a,1))]. 10381 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(162(a,1),10353(a,1,2,2))]. 10382 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8145(a,1),10354(a,1,1,2,1))]. 10383 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8155(a,1),8187(a,1,2,2,1))]. 10385 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(9409(a,1),8354(a,1,1)),flip(a)]. 10386 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(286,a,7834,a(flip),b,10385,a),flip(a)]. 10387 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3672(a,1),10386(a,1,1)),flip(a)]. 10388 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(10116,a,10387,a)]. 10389 K(x,K(y,z * (u \ K(x,y)))) = z * (u \ T(u * (z \ 1),K(x,y))). [para(7896(a,1),8406(a,1,2,2)),flip(a)]. 10390 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(z,u)))). [hyper(286,a,6244,a(flip),b,10389,a)]. 10391 K(x,K(y,z * (u \ K(x,y)))) = K(x,K(y,z * (u \ 1))). [hyper(8392,a,10390,a),flip(a)]. 10392 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(8806(a,1),10391(a,1,2))]. 10393 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(458(a,1),10392(a,2,2,2))]. 10394 K(x,K(y,R(z,u,u \ K(z,x)))) = K(z,K(x,R(y,u,u \ 1))). [hyper(62,a,9099,a,b,10393,a)]. 10395 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(z,R(y,u,u \ 1))). [hyper(286,a,8056,a,b,10394,a),flip(a)]. 10396 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(118,a,8578,a),flip(a)]. 10397 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4387(a,1),10396(a,1,1)),flip(a)]. 10398 (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(6530,a,10397,a)]. 10399 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(286,a,8629,a(flip),b,8630,a),flip(a)]. 10400 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(73(a,1),10399(a,1,1,2,1,2,1))]. 10401 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8650,a(flip),b,10400,a)]. 10403 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,8303,a(flip),b,10401,a)]. 10404 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(215(a,1),9289(a,2,1))]. 10405 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(62,a,9088,a(flip),b,10404,a),flip(a)]. 10406 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(286,a,6096,a(flip),b,9489,a),flip(a)]. 10407 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1675(a,1),9823(a,1,2))]. 10408 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(655,a,10407,a),flip(a)]. 10410 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9459,a,10408,a)]. 10411 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7197(a,1),10408(a,1,2)),flip(a)]. 10412 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10408(a,1),9824(a,1,2))]. 10413 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(1484,a,10010,a)]. 10414 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8521(a,2),10413(a,1,1))]. 10415 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(76(a,1),10414(a,1,1,2,1))]. 10416 L(x,K(y,z),K(z,u)) = x. [hyper(435,a,10415,a)]. 10417 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(216,a,10415,a,b,10,a),flip(a)]. 10419 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10415(a,1),304(a,1,2))]. 10421 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2093(a,1),10415(a,1,1))]. 10422 K(x,y) * (K(x * y,x) * z) = (x \ R(x,y,x)) * z. [para(5942(a,1),10415(a,1,1)),flip(a)]. 10423 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10415(a,1),7393(a,1,2))]. 10424 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10415(a,1),9234(a,1,1,1))]. 10425 L(K(x,y) \ z,K(u,w),K(w,v5)) = K(y,x) * z. [hyper(286,a,5839,a(flip),b,10416,a),flip(a)]. 10426 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(62,a,6304,a(flip),b,10416,a)]. 10427 L(x,K(y,z),K(z,u)) != w | x = w. [para(10416(a,1),49(a,2))]. 10428 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7754(a,1),10416(a,1,2))]. 10429 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1145,a,10428,a),flip(a)]. 10430 (x \ R(x,y,x)) \ (K(x,y) * z) = K(x,x * y) * z. [hyper(62,a,6081,a(flip),b,10425,a)]. 10431 T(x,y) * (K(x * y,x) * z) = x * ((x \ R(x,y,x)) * z). [para(10422(a,1),4638(a,1,2)),flip(a)]. 10433 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),T(x,y) * z) * u. [para(7777(a,1),10430(a,1,2,1))]. 10434 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5846(a,1),10417(a,1,2,2)),flip(a)]. 10435 x * ((x \ R(x,y,x)) * z) = R(x,y,x) * z. [hyper(62,a,6276,a(flip),b,10431,a),flip(a)]. 10436 (x \ R(x,y,x)) \ z = R(x,y,x) \ (x * z). [hyper(546,a,10435,a),flip(a)]. 10437 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9175(a,1),10435(a,1,2,1))]. 10438 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(115,a,10,a(flip),b,10437,a),flip(a)]. 10440 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(10295(a,1),10419(a,1))]. 10441 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5854,a,10423,a),flip(a)]. 10443 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(6438(a,1),10424(a,2,1))]. 10444 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(286,a,9,a(flip),b,10291,a),flip(a)]. 10446 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(131,a,10444,a)]. 10447 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(10446(a,1),7356(a,1,2))]. 10448 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9162(a,1),10340(a,1)),flip(a)]. 10449 L(R(x,y,L(x,z,u)),z,u) * T(u * z,L(x,z,u)) != w | u * (z * R(x,y,L(x,z,u))) = w. [para(7898(a,2),741(a,1))]. 10450 (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(7777(a,1),8208(a,2,1,2))]. 10451 R((x / (y * z)) / K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8060(a,1),8368(a,1,1,2))]. 10452 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),9074(a,1,1,2))]. 10453 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(655,a,9167,a),flip(a)]. 10455 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(62,a,9455,a(flip),b,10453,a)]. 10456 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10453(a,1),6897(a,1,1))]. 10457 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(10453(a,1),8584(a,1,1)),flip(a)]. 10458 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8895(a,1),10453(a,1,1))]. 10459 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(131,a,10455,a)]. 10460 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10455(a,1),6203(a,1,1)),flip(a)]. 10461 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10455(a,1),9288(a,1,2)),flip(a)]. 10462 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(10365(a,2),10455(a,1,2))]. 10463 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10459(a,1),301(a,1,2)),flip(b)]. 10464 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(4267(a,1),10460(a,2,1))]. 10465 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),10456(a,1,2,2))]. 10466 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5836,a,10461,a)]. 10467 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(5834,a,10461,a)]. 10468 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,937,a(flip),b,10466,a)]. 10469 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(10463,a,10462,a)]. 10470 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,7599,a(flip),b,10469,a),flip(a)]. 10471 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4268,a,10470,a)]. 10472 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(10365(a,1),10464(a,1,1))]. 10473 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10471(a,1),10472(a,2,1))]. 10474 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(62,a,10460,a(flip),b,10473,a)]. 10475 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3913(a,1),9215(a,1,1)),flip(a)]. 10476 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10416(a,1),9223(a,1,1,1)),flip(a)]. 10477 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2093(a,1),10476(a,1,2,2))]. 10478 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10477(a,1),6624(a,1,1))]. 10479 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7896(a,1),10478(a,1,1,1)),flip(a)]. 10480 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9737(a,1),4859(a,1))]. 10481 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(10194(a,2),8263(a,1))]. 10482 R((x / (y * z)) * K(y,K(u,w)),K(u,K(w,y)),y * z) = x / (T(y,K(u,w)) * z). [para(8107(a,1),10451(a,1,1))]. 10483 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(8115(a,1),10452(a,1,2))]. 10484 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7730(a,1),10458(a,1,2)),flip(a)]. 10485 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(286,a,10453,a(flip),b,10484,a),flip(a)]. 10487 a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). [para(110(a,1),10485(a,1,2))]. 10488 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(347(a,1),10485(a,1,2,2))]. 10489 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10487(a,2),10465(a,1,1))]. 10490 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(286,a,7750,a,b,10489,a),flip(a)]. 10491 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(2810(a,1),10483(a,1,2))]. 10493 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(10491(a,1),6376(a,1,1,2))]. 10494 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5775(a,1),10493(a,1,1))]. 10495 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(62,a,7447,a(flip),b,10494,a),flip(a)]. 10496 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(10495(a,1),9456(a,2,1))]. 10497 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3562(a,2),8023(a,1,1))]. 10498 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(252(a,1),8474(a,1,1))]. 10500 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6892(a,1),10498(a,1,2))]. 10501 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(7490(a,1),10500(a,1,2)),flip(a)]. 10502 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(286,a,7,a(flip),b,10501,a),flip(a)]. 10503 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5851,a,10502,a)]. 10504 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(9098(a,1),10503(a,1,1))]. 10505 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,T(x,y) * y). [para(4181(a,1),8576(a,2,2))]. 10506 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(8692(a,1),8729(a,2,1))]. 10507 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8333(a,1),10506(a,2,2))]. 10508 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(62,a,6781,a,b,10507,a)]. 10509 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(6226,a,10508,a)]. 10511 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(286,a,5987,a(flip),b,8965,a),flip(a)]. 10512 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(109(a,1),10511(a,1,1,1))]. 10513 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(62,a,8992,a(flip),b,9087,a),flip(a)]. 10515 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(20(a,2),10513(a,1,1))]. 10516 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(62,a,8365,a,b,10515,a)]. 10517 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(62,a,9849,a,b,10516,a)]. 10518 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(62,a,9052,a(flip),b,10517,a)]. 10520 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(62,a,9846,a(flip),b,10518,a),flip(a)]. 10521 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10520(a,1),4694(a,2,2,2))]. 10522 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10521(a,2),4765(a,1))]. 10523 ((K(x,y) * z) * ((K(u,w) \ 1) \ 1)) * K(v5,u) = ((1 / (1 / K(y,x))) \ z) * (K(u,w) * K(v5,u)). [para(5839(a,1),9221(a,1,1,1))]. 10524 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(62,a,8988,a(flip),b,9336,a),flip(a)]. 10526 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(20(a,2),10524(a,1,2))]. 10527 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(62,a,8028,a,b,10526,a)]. 10528 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10527(a,1),4659(a,2,2)),flip(a)]. 10529 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4663,a,10528,a),flip(a)]. 10530 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5741(a,1),10529(a,1,2,1)),flip(a)]. 10531 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10522,a,10530,a),flip(a)]. 10533 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5932,a,10531,a)]. 10534 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(62,a,9534,a(flip),b,9701,a),flip(a)]. 10536 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(62,a,8534,a(flip),b,10534,a),flip(a)]. 10538 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),10536(a,2,2))]. 10539 K(x,L(y,T(z,x),u)) = K(x,L(y,z,u)). [para(1092(a,2),10538(a,1,2,2))]. 10540 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5839(a,2),10538(a,1,2,2))]. 10541 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5846(a,1),10538(a,1,2,2)),flip(a)]. 10542 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10541(a,1),5843(a,1,2,2)),flip(a)]. 10543 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(286,a,5843,a(flip),b,10542,a),flip(a)]. 10544 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4630(a,1),10543(a,1,1,2)),flip(a)]. 10545 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(62,a,10352,a(flip),b,9704,a),flip(a)]. 10546 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(286,a,9863,a(flip),b,9990,a),flip(a)]. 10547 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(107(a,1),10546(a,1,2,1,1,1)),flip(a)]. 10548 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(34,a,4522,a(flip),b,10329,a),flip(a)]. 10549 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4672(a,1),10497(a,2,1))]. 10550 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9175(a,1),10549(a,1,1))]. 10551 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(286,a,9609,a,b,10550,a)]. 10552 a(x \ y,z,x \ y) = a(y / x,z,y / x). [hyper(10115,a,10551,a),flip(a)]. 10553 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(62,a,8357,a,b,10545,a),flip(a)]. 10554 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(286,a,10121,a(flip),b,10553,a),flip(a)]. 10555 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),10554(a,1,2,1)),flip(a)]. 10556 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(62,a,7764,a(flip),b,10555,a),flip(a)]. 10557 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(286,a,6717,a(flip),b,10556,a),flip(a)]. 10558 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4871,a,10557,a),flip(a)]. 10559 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(62,a,9663,a(flip),b,10557,a),flip(a)]. 10560 K(x,x \ (y * (x * z))) = K(x,y * z). [para(9(a,1),10558(a,2,2,2))]. 10561 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10558(a,1),6895(a,1,1,2))]. 10562 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(62,a,9626,a,b,10559,a)]. 10563 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(62,a,9659,a,b,10560,a)]. 10564 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10563(a,1),8676(a,1,2)),flip(a)]. 10565 K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,u \ (y * (z * u))). [para(10563(a,1),8731(a,1,2,2))]. 10567 L(K(x,x \ y),y,z) = K(x,x \ y). [para(9(a,1),10562(a,1,3))]. 10568 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(9237,a,10567,a)]. 10570 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(62,a,9257,a(flip),b,10567,a)]. 10571 a(x,y,K(z,z \ y)) = 1. [hyper(52,a,10567,a)]. 10573 a(x,y,K(z \ y,z)) = 1. [para(4785(a,1),10571(a,1,3))]. 10574 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(51,a,10573,a)]. 10575 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9639,a,10574,a)]. 10577 ((x * y) \ x) * (x * y) = x * K(y,y \ (x \ 1)). [para(10568(a,1),6471(a,2,2))]. 10579 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(62,a,9834,a(flip),b,10570,a),flip(a)]. 10580 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(9(a,1),10570(a,1,2,2)),flip(a)]. 10582 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(10(a,1),10575(a,1,1,2,2))]. 10583 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10575(a,1),9677(a,1,2))]. 10584 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(62,a,9546,a(flip),b,10582,a),flip(a)]. 10585 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(1253(a,1),10584(a,1,1,2,1))]. 10586 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(4429(a,1),10584(a,1,1,2,1))]. 10587 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(8909(a,1),10564(a,1,2)),flip(a)]. 10588 R(x,y,K(z \ y,z)) = x. [hyper(756,a,10583,a)]. 10589 T(x * ((y \ z) * y),K(y \ z,y)) = K(y \ z,y) * (x * z). [para(10583(a,1),8123(a,1,1))]. 10591 R(x,y \ z,y) = R(x,z / y,y). [hyper(62,a,7551,a(flip),b,10588,a)]. 10592 R(x,y * z,K(z,y)) = x. [para(9(a,1),10588(a,1,3,1))]. 10593 (x * (y * z)) * K(z,y) = x * (z * y). [para(10592(a,1),475(a,1,1)),flip(a)]. 10595 T(x \ (((x / y) * z) * y),x / y) = R(T(z,x),y \ x,y). [hyper(286,a,1744,a,b,10591,a)]. 10596 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(286,a,9722,a(flip),b,10591,a),flip(a)]. 10597 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(286,a,7415,a(flip),b,10591,a),flip(a)]. 10600 K(x,L(y,x,z)) = K(x,y). [hyper(7094,a,10593,a)]. 10601 (x * (y * z)) / T(y,z) = (x * (z * y)) / y. [hyper(116,a,10593,a(flip),b,6822,a)]. 10602 ((x * (y * z)) / z) \ (x * (z * y)) = T(z,y). [hyper(115,a,10593,a(flip),b,6822,a)]. 10605 T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). [para(10593(a,1),8119(a,1,2)),flip(a)]. 10606 K(L(x,y,z),y) = K(x,y). [hyper(62,a,9522,a,b,10600,a)]. 10607 K(x,T((y * x) \ z,u)) = K(x,T(x \ (y \ z),u)). [para(505(a,1),10600(a,1,2))]. 10608 T(x,L(y,x,z)) = x * K(x,y). [para(10600(a,1),4659(a,2,2))]. 10609 K(L(x,y,z),y) = (u * K(y,x)) \ u. [para(10600(a,1),6895(a,1,1,2)),flip(a)]. 10610 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10600(a,1),8604(a,1,2)),flip(a)]. 10614 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10606(a,1),10073(a,1,1))]. 10615 T(x,L(y,x,z)) = T(x,y). [hyper(286,a,4659,a,b,10608,a),flip(a)]. 10618 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(62,a,9612,a(flip),b,10615,a)]. 10619 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10615(a,1),108(a,1,2))]. 10621 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(454(a,1),10615(a,1,2))]. 10622 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10615(a,1),7368(a,1,1,2)),flip(a)]. 10623 K(L(x,y,z),y) != u | K(x,y) = u. [para(10609(a,2),6902(a,1))]. 10624 L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. [para(7073(a,2),10623(a,1))]. 10625 K(x,L(y,x,z)) != u | K(x,y) = u. [para(9522(a,1),10623(a,1))]. 10626 K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(30(a,1),10625(a,1,2))]. 10627 K(x,(y * x) \ z) != u | K(x,x \ (y \ z)) = u. [para(268(a,1),10625(a,1,2))]. 10631 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9531(a,1),10625(a,1))]. 10633 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10619(a,1),1239(a,1,2,2))]. 10634 ((x * (y * K(z,u))) / y) * K(y,K(z,u)) = (x * (K(z,u) * y)) / y. [hyper(62,a,8106,a,b,10601,a)]. 10635 (x * ((T(y,z) * K(u,y)) * u)) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(5726(a,1),10601(a,2,1,2))]. 10638 L(x,T(y,x),z) = L(x,y,z). [hyper(286,a,18,a,b,10622,a)]. 10640 L(x,x \ y,z) = L(x,y / x,z). [para(110(a,1),10638(a,1,2))]. 10641 L(x,T(y,K(x,z)),u) = L(x,T(y,T(x,z)),u). [para(7616(a,1),10638(a,1,2)),flip(a)]. 10643 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(286,a,507,a(flip),b,10640,a),flip(a)]. 10644 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10640(a,2),7140(a,1,1))]. 10645 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(62,a,10201,a(flip),b,10641,a),flip(a)]. 10646 L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). [para(110(a,1),10645(a,1,2))]. 10647 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(62,a,10200,a(flip),b,10646,a),flip(a)]. 10649 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(62,a,7458,a,b,10647,a)]. 10650 K(x,(x * y) \ z) != u | K(x,x \ (y \ z)) = u. [para(7058(a,1),10627(a,1))]. 10651 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(9531(a,2),10631(a,1))]. 10654 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6902,a,10561,a),flip(a)]. 10655 K(x * (y \ 1),y) = K(y \ x,y). [para(8(a,1),10654(a,1,1,2)),flip(a)]. 10656 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(10(a,1),10654(a,1,1,2)),flip(a)]. 10657 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(8883,a,10655,a),flip(a)]. 10658 x * K(x * (y \ 1),y) = (y \ x) * y. [para(10655(a,2),271(a,1,2))]. 10659 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(76(a,1),10658(a,1,2,1,2)),flip(a)]. 10660 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4893(a,1),10658(a,1,2,1,2)),flip(a)]. 10661 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(286,a,6720,a(flip),b,10657,a),flip(a)]. 10662 L(x \ 1,x,y) * (y * x) = y * K(x,x \ (y \ 1)). [hyper(577,a,10577,a)]. 10663 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(4429(a,1),10579(a,1,2,2,1,2))]. 10664 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10579(a,1),7083(a,1,1)),flip(a)]. 10665 K(x,T(x \ (y \ z),y)) = K(x,z / (y * x)). [hyper(62,a,9357,a(flip),b,10607,a),flip(a)]. 10666 K(x,y / (z * x)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). [para(10665(a,1),5942(a,1,1))]. 10667 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6718(a,1),10659(a,2,2))]. 10668 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(62,a,10073,a(flip),b,10614,a),flip(a)]. 10669 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10614(a,2),7860(a,1))]. 10670 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(62,a,10351,a(flip),b,10668,a)]. 10671 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(848(a,1),10668(a,1,1)),flip(a)]. 10672 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(107(a,1),10669(a,1,2,1))]. 10673 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(10(a,1),10672(a,1,2))]. 10676 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10649(a,1),6632(a,1,1)),flip(a)]. 10677 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7822(a,1),10676(a,1,2,2))]. 10679 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(286,a,25,a,b,10677,a),flip(a)]. 10680 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(1092(a,2),10679(a,1,2,2))]. 10681 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5736(a,1),10679(a,1,2))]. 10682 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(10680(a,1),29(a,1,1)),flip(a)]. 10683 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8558(a,2),10681(a,1,2))]. 10684 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(8015,a,10683,a)]. 10685 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(8936(a,1),10667(a,2,2))]. 10686 K(x \ (x * (y \ z)),L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). [hyper(286,a,7833,a,b,10671,a)]. 10687 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(286,a,29,a(flip),b,10682,a),flip(a)]. 10688 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(7510,a,10686,a),flip(a)]. 10689 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7995,a,10688,a)]. 10691 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10480,a,10689,a)]. 10692 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6967,a,10661,a)]. 10695 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10664(a,2),10631(a,1))]. 10696 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(286,a,25,a,b,10621,a),flip(a)]. 10697 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(62,a,25,a,b,10696,a)]. 10698 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(10009(a,1),10697(a,1,1))]. 10699 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(10618(a,1),10698(a,1,1)),flip(a)]. 10700 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10699(a,1),5838(a,1,2,1))]. 10702 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(62,a,5838,a(flip),b,10700,a),flip(a)]. 10703 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10702(a,1),9182(a,1,2)),flip(a)]. 10704 ((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),10633(a,1,1,1))]. 10705 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1668,a,10704,a),flip(a)]. 10706 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(108(a,1),10705(a,1,2))]. 10707 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8983,a,10706,a),flip(a)]. 10709 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10707(a,1),7083(a,1,1))]. 10710 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(10631,a,10709,a),flip(a)]. 10711 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10710(a,1),10267(a,1,1))]. 10712 L(K(x,x * y),y,z) = K(x,x * y). [para(9070(a,1),10711(a,1,1))]. 10714 L(K(x,x * y),y,z) = K(x,T(x * y,y)). [hyper(286,a,8431,a,b,10712,a),flip(a)]. 10715 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10712(a,2),4794(a,1,2))]. 10717 L(K(x,x * y),y,z) != u | K(x,x * y) = u. [para(10714(a,2),8432(a,1))]. 10718 L(K(x * y,x),y,z) = K(x * y,x). [hyper(9495,a,10715,a)]. 10719 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(62,a,9986,a(flip),b,10718,a)]. 10720 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(9984,a,10719,a)]. 10721 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(9623,a,10719,a)]. 10722 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(9586,a,10719,a)]. 10723 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7080,a,10719,a)]. 10725 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(62,a,9573,a(flip),b,10719,a),flip(a)]. 10726 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10719(a,1),6095(a,1,1,1,2))]. 10727 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(10719(a,1),9181(a,1,2))]. 10728 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10719(a,1),9585(a,1))]. 10729 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10720(a,1),6096(a,1,1,1,2))]. 10730 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10727(a,1),9208(a,1))]. 10731 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(6311,a,10726,a),flip(a)]. 10732 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(62,a,9619,a,b,10731,a)]. 10733 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(22(a,2),10703(a,2,2,2))]. 10734 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(2948(a,1),8331(a,1,2,1)),flip(a)]. 10735 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2948(a,1),10734(a,1,2)),flip(a)]. 10737 (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(10735(a,1),591(a,1,1,1)),flip(a)]. 10739 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(22(a,2),9263(a,2,2,2))]. 10740 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(286,a,8809,a(flip),b,10739,a),flip(a)]. 10742 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(506(a,1),10740(a,1,2))]. 10743 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(12(a,1),10742(a,1,2,1,1)),flip(a)]. 10744 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(9(a,1),10743(a,1,2,1)),flip(a)]. 10745 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(9635,a,10744,a)]. 10746 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(9740(a,2),10745(a,1,1))]. 10747 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(9663(a,1),10746(a,1,1))]. 10748 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(10631,a,10747,a)]. 10750 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(62,a,7306,a(flip),b,10748,a),flip(a)]. 10751 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(62,a,7149,a(flip),b,10750,a)]. 10752 K(x,a(y,z,z \ 1)) = 1. [hyper(6456,a,10751,a)]. 10754 T(x,a(y,z,z \ 1)) = x. [hyper(55,a,10752,a)]. 10755 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [hyper(7640,a,10754,a),flip(a)]. 10756 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(53,a,10754,a)]. 10757 T(x,a(y,z \ 1,z)) = x. [para(3513(a,1),10754(a,1,2))]. 10758 T(x,a(y,y \ 1,z)) = x. [para(6999(a,1),10754(a,1,2))]. 10759 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(53,a,10757,a)]. 10760 T(x,a(y \ 1,y,z)) = x. [para(6527(a,1),10757(a,1,2))]. 10761 T(a(x,x \ 1,y),z) = a(x,x \ 1,y). [hyper(53,a,10758,a)]. 10762 a(x \ 1,x,y) \ z = z / a(x \ 1,x,y). [hyper(638,a,10760,a)]. 10763 K(x,a(y \ 1,y,z)) = 1. [hyper(54,a,10760,a)]. 10764 T(a(x \ 1,x,y),z) = a(x \ 1,x,y). [hyper(53,a,10760,a)]. 10765 x * L(a(y,z,z \ 1),u,w) != v5 | L(a(y,z,z \ 1),u,w) * x = v5. [para(10756(a,1),376(a,1,2,1))]. 10766 L(a(x,y,y \ 1),z,u) * (u * z) = u * (z * a(x,y,y \ 1)). [para(10756(a,1),578(a,1,2,2)),flip(a)]. 10767 (T(x,a(y,z,z \ 1)) * u) \ ((x * a(y,z,z \ 1)) * u) = R(a(y,z,z \ 1),T(x,a(y,z,z \ 1)),u). [para(10756(a,1),836(a,1,1)),flip(a)]. 10768 T(a(x,y \ 1,y),z) = x \ R(x,y \ 1,y). [hyper(286,a,3501,a,b,10759,a),flip(a)]. 10770 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5849(a,2),10768(a,1,1))]. 10773 ((x * (y * a(z,u,u \ 1))) / y) \ (L(a(z,u,u \ 1),y,x) * (y * x)) = T(y,x). [para(10766(a,1),10602(a,1,1,1))]. 10774 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,10333,a,b,10770,a)]. 10775 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,8581,a,b,10774,a)]. 10776 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10061(a,1),9362(a,1,1)),flip(a)]. 10777 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(62,a,10187,a(flip),b,10776,a),flip(a)]. 10779 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7819,a,10777,a)]. 10781 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),10779(a,1,2,2))]. 10782 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(8972(a,1),10779(a,1,1))]. 10783 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(10299(a,1),10779(a,1,1))]. 10784 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9451(a,1),9434(a,1,2))]. 10785 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8060(a,1),10784(a,1,2))]. 10787 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(9381(a,1),10785(a,2,1))]. 10788 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(62,a,10457,a(flip),b,10787,a)]. 10789 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10448,a,10788,a)]. 10790 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10440,a,10789,a)]. 10791 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,9339,a(flip),b,9751,a),flip(a)]. 10792 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(7981,a,9789,a),flip(a)]. 10793 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),9827(a,1,2,1))]. 10795 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),10793(a,1,2))]. 10796 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(10651,a,10795,a)]. 10797 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(286,a,9528,a(flip),b,10796,a),flip(a)]. 10800 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),10797(a,2,2,2))]. 10801 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(4033(a,1),10800(a,1,1,2))]. 10802 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7698,a,10801,a)]. 10804 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(62,a,10544,a(flip),b,10802,a),flip(a)]. 10805 (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,9975,a)]. 10806 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(10277,a,10805,a)]. 10807 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9830,a,10806,a)]. 10808 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),10807(a,1,2,1)),flip(a)]. 10809 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(286,a,9284,a(flip),b,10808,a),flip(a)]. 10810 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(203(a,1),10809(a,1,2)),flip(a)]. 10811 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10809(a,1),9975(a,1,2))]. 10812 L(K(x,y),z,y * x) = K(x,y). [hyper(10625,a,10810,a),flip(a)]. 10813 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10810(a,1),10625(a,1))]. 10815 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10812(a,1),10366(a,1,1))]. 10817 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(62,a,7093,a(flip),b,10811,a),flip(a)]. 10818 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(262,a,10817,a)]. 10819 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(116,a,12,a(flip),b,10818,a),flip(a)]. 10821 (x * K(y,z \ 1)) * (z * (y \ 1)) = x * ((y \ 1) * z). [para(6458(a,1),10818(a,1,1,2))]. 10822 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),10819(a,1,1,2))]. 10825 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10819(a,1),8794(a,1,2))]. 10827 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(62,a,9870,a,b,10822,a)]. 10828 (x / (y * z)) * K((y * z) / y,y) = x / (T(y,z) * z). [para(3662(a,2),10822(a,2,2))]. 10829 K(x / y,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). [para(10822(a,1),8912(a,1,2,1))]. 10830 (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. [hyper(175,a,10827,a)]. 10831 ((x * ((x / y) \ 1)) / x) \ 1 = x / (x * (((y / x) \ 1) \ 1)). [para(10830(a,1),2976(a,1,1))]. 10832 (x * T(y,z \ 1)) * (z * (y \ 1)) = (x * y) * ((y \ 1) * z). [para(6811(a,1),10821(a,1,1))]. 10834 (x / (y * z)) * K(y \ (y * z),y) = x / (T(y,z) * z). [para(4777(a,2),10828(a,1,2))]. 10835 (x / (y * z)) * K(z,y) = x / (T(y,z) * z). [para(9(a,1),10834(a,1,2,1))]. 10837 K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). [para(4205(a,2),10829(a,1,2,1))]. 10838 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [hyper(6311,a,9979,a),flip(a)]. 10839 L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). [hyper(7143,a,10838,a)]. 10840 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4275(a,1),10265(a,2,2))]. 10841 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(286,a,9754,a(flip),b,10840,a),flip(a)]. 10842 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(10717,a,10841,a),flip(a)]. 10843 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(10841(a,1),10717(a,1))]. 10845 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(62,a,9839,a,b,10842,a)]. 10848 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(62,a,9646,a(flip),b,10842,a)]. 10849 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(62,a,9600,a(flip),b,10842,a),flip(a)]. 10850 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10842(a,1),7083(a,1,1))]. 10851 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(10842(a,2),8670(a,1,2))]. 10852 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(10842(a,2),8671(a,1,2))]. 10853 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10845(a,1),4659(a,2,2))]. 10854 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(8058,a,10851,a)]. 10855 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1118(a,1),10852(a,1,2,2))]. 10856 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10854(a,1),8400(a,1,2)),flip(a)]. 10857 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1236(a,1),10843(a,1,2))]. 10858 K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(9838(a,2),10843(a,1))]. 10859 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(286,a,4659,a,b,10853,a),flip(a)]. 10860 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(62,a,10155,a(flip),b,10859,a)]. 10861 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(62,a,10209,a(flip),b,10860,a),flip(a)]. 10862 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10861(a,1),5719(a,1,2))]. 10863 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(10631,a,10850,a),flip(a)]. 10864 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(10212,a,10863,a)]. 10865 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10855(a,2),8422(a,1))]. 10866 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(286,a,8047,a(flip),b,10856,a),flip(a)]. 10867 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8502,a,10866,a)]. 10868 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),10867(a,1,2,2)),flip(a)]. 10869 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(10868(a,1),4660(a,1,2,1))]. 10870 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(62,a,10153,a(flip),b,10862,a),flip(a)]. 10872 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(76(a,1),10870(a,1,2,2)),flip(a)]. 10873 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(10(a,2),10872(a,1,2))]. 10874 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4862,a,10869,a),flip(a)]. 10875 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(7389(a,1),10270(a,1,2))]. 10876 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,9098,a(flip),b,10875,a)]. 10877 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(T(x,y),z * T(x,y)) * u. [para(5991(a,2),10433(a,2,1))]. 10878 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(10491(a,1),10496(a,1,2,1))]. 10879 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(5741(a,1),10878(a,1,2))]. 10881 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(7723(a,2),10504(a,1,2,2,1))]. 10882 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6931,a,10729,a),flip(a)]. 10884 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(286,a,10181,a(flip),b,10792,a),flip(a)]. 10886 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(286,a,8165,a(flip),b,10884,a),flip(a)]. 10887 (T(x,y) \ R(T(x,y),z,T(x,y))) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. [hyper(8496,a,10877,a(flip)),flip(a)]. 10888 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(5839(a,1),10881(a,1,2))]. 10889 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(6258(a,1),7214(a,1,1,2))]. 10890 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(286,a,632,a(flip),b,10889,a),flip(a)]. 10892 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(129,a,10890,a)]. 10893 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(35,a,5844,a,b,10890,a)]. 10895 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(9318,a,10892,a),flip(a)]. 10896 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8060(a,2),10892(a,1,1))]. 10897 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5846(a,1),10893(a,1,2,2)),flip(a)]. 10898 K(x,T(y,z)) * (y * x) = T(x,K(y,z)) * y. [hyper(62,a,7316,a(flip),b,10895,a),flip(a)]. 10899 T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). [para(10895(a,1),4476(a,1,1,2,1))]. 10900 T(K(x,K(y,z)) * u,K(x,y)) = (K(x,T(y,z)) * u) * K(y,x). [para(10895(a,1),8118(a,1,1)),flip(a)]. 10901 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(9437,a,10898,a)]. 10902 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(116,a,9436,a(flip),b,10898,a(flip))]. 10903 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4492,a,10901,a),flip(a)]. 10904 T(x / y,K(y,z)) = T(x,K(y,z)) / y. [para(12(a,1),10902(a,1,1,1)),flip(a)]. 10905 T(x / (y / z),K(y / z,z)) = T(x,K(z \ y,z)) / (y / z). [para(4777(a,2),10904(a,2,1,2))]. 10906 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(286,a,5740,a,b,10897,a)]. 10907 K(x,y) * (K(x * y,x) * z) = x * (L(x,y,x) \ z). [hyper(286,a,9300,a(flip),b,10897,a),flip(a)]. 10908 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(286,a,145,a(flip),b,10897,a),flip(a)]. 10909 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(62,a,10426,a,b,10897,a)]. 10910 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(62,a,10421,a,b,10897,a)]. 10911 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(62,a,10415,a,b,10897,a)]. 10912 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5846(a,1),10897(a,2,2))]. 10913 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7081(a,1),10897(a,1,2,1)),flip(a)]. 10914 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(10897(a,1),10443(a,1,1,1))]. 10915 T(T(K(x,y) * z,K(u,w)),K(u,w)) = K(y,v5) * (K(x,y) * (K(y,v5) \ z)). [hyper(286,a,8116,a,b,10908,a)]. 10917 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9178(a,1),10909(a,1,1)),flip(a)]. 10918 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5851,a,10917,a)]. 10919 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9(a,1),10918(a,1,2)),flip(a)]. 10920 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4528,a,10910,a)]. 10921 L(x,K(y,z),K(u,y)) = x. [hyper(435,a,10910,a)]. 10922 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(116,a,10893,a(flip),b,10910,a)]. 10923 (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,10910,a(flip),b,4669,a)]. 10924 L(x,K(y,z),K(u,y)) != w | x = w. [para(10921(a,1),49(a,2))]. 10927 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(10920(a,1),3383(a,1,1)),flip(a)]. 10928 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(9176(a,1),10911(a,1,1)),flip(a)]. 10929 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5885(a,1),10928(a,1,2))]. 10930 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5851,a,10912,a)]. 10931 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5867(a,1),10922(a,1,1))]. 10932 (((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(10930(a,1),1902(a,1,1,1,1))]. 10933 T(x,y) * (K(x * y,x) * z) = x * (x * (L(x,y,x) \ z)). [para(10907(a,1),4638(a,1,2)),flip(a)]. 10934 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4638(a,1),10906(a,1,2))]. 10935 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(10906(a,1),5894(a,1))]. 10936 x * (x * (L(x,y,x) \ z)) = R(x,y,x) * z. [hyper(62,a,6276,a(flip),b,10933,a),flip(a)]. 10938 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(10050(a,1),10936(a,1,2))]. 10939 a(x,y,x) * z = z * a(x,y,x). [hyper(33,a,10437,a,b,10938,a)]. 10940 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(33,a,1121,a,b,10938,a)]. 10941 (x * y) * a(x,z,x) = R(x,z,x) * y. [hyper(33,a,1117,a(flip),b,10938,a),flip(a)]. 10942 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(115,a,10938,a(flip),b,92,a)]. 10944 a(x,y,x) \ z = z / a(x,y,x). [hyper(298,a,10939,a),flip(a)]. 10945 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(286,a,9924,a(flip),b,10939,a),flip(a)]. 10946 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(233,a,10939,a),flip(a)]. 10947 T(x,a(y,z,y)) = x. [hyper(219,a,10939,a)]. 10948 T(a(x,y,x),z) = a(x,y,x). [hyper(216,a,10939,a,b,xx)]. 10949 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(115,a,10051,a(flip),b,10939,a)]. 10950 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10939(a,2),42(a,1))]. 10953 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(10939(a,1),92(a,1,1))]. 10954 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10939(a,1),588(a,1,2,1))]. 10955 K(x,a(y,z,y)) = 1. [hyper(54,a,10947,a)]. 10956 T(x,a(y,z,y)) != u | u = x. [para(10947(a,1),48(a,1)),flip(a)]. 10958 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(10947(a,1),638(a,1))]. 10959 T(x,y \ R(y,z,y)) = x. [para(9173(a,1),10947(a,1,2))]. 10960 (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). [hyper(638,a,10959,a)]. 10961 T(x \ R(x,y,x),z) = x \ R(x,y,x). [hyper(53,a,10959,a)]. 10963 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(286,a,9175,a,b,10948,a),flip(a)]. 10964 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10948(a,1),262(a,1,2))]. 10965 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10948(a,1),215(a,1,2,1)),flip(a)]. 10967 R(a(x,y,x) \ (z / u),a(x,y,x),u) != w | z / (a(x,y,x) * u) = w. [para(614(a,2),10956(a,1)),flip(b)]. 10969 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(10946(a,1),10056(a,1,2)),flip(a)]. 10970 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(4357(a,2),10963(a,2,2))]. 10972 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(62,a,7899,a(flip),b,10940,a)]. 10973 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(10941(a,1),301(a,1,2)),flip(b)]. 10974 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(12(a,1),10949(a,1,2)),flip(a)]. 10975 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(10949(a,1),10918(a,1,2))]. 10976 T(x \ R(x,y,x),z) = K(x,y) * K(x * y,x). [hyper(286,a,5942,a,b,10961,a),flip(a)]. 10977 (a(x,y,x) \ z) * K(x,a(x,y,x) \ z) = (L(x,y,x) * z) / x. [hyper(116,a,10969,a(flip),b,4669,a),flip(a)]. 10978 (x * y) * a(y,z,y) = x * R(y,z,y). [para(11(a,1),10972(a,1,1)),flip(a)]. 10979 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(10972(a,2),42(a,1))]. 10980 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4035(a,1),10972(a,1,2))]. 10981 (x / y) * R(y,z,y) = x * (y \ R(y,z,y)). [para(9175(a,2),10972(a,2,2))]. 10982 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10972(a,2),10060(a,1,2))]. 10983 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [hyper(121,a,10974,a)]. 10984 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(10974(a,1),301(a,1,2)),flip(b)]. 10985 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(121,a,10978,a)]. 10986 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(62,a,10939,a,b,10978,a)]. 10988 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(116,a,10978,a(flip),b,10939,a)]. 10989 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10978(a,1),10320(a,1,1))]. 10990 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(115,a,12,a(flip),b,10986,a),flip(a)]. 10991 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(116,a,10986,a(flip),b,145,a(flip))]. 10993 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10988(a,1),263(a,1,1)),flip(b)]. 10995 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [hyper(62,a,7170,a,b,10990,a)]. 10996 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(62,a,9243,a(flip),b,10990,a)]. 10997 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(286,a,10944,a(flip),b,10996,a),flip(a)]. 11000 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(10997(a,2),10958(a,1))]. 11002 R(x,y,x) \ (x * z) = z / (x \ R(x,y,x)). [hyper(62,a,10436,a(flip),b,10960,a)]. 11003 ((x * y) * z) \ (R(R(x,y,z),u,R(x,y,z)) * (y * z)) = L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)). [para(104(a,1),10942(a,1,1))]. 11004 L(a(x,y,x),z,x) != u | a(x,y,x) = u. [para(10942(a,1),10973(a,1))]. 11005 K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. [para(10976(a,1),309(a,1))]. 11007 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(115,a,10046,a(flip),b,10995,a)]. 11009 T(x,R(a(y,z,y),u,w)) = x. [hyper(219,a,10965,a)]. 11011 a(x,y,x) != z | x \ R(x,y,x) = z. [para(9178(a,1),11005(a,1))]. 11014 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(286,a,8013,a(flip),b,10989,a),flip(a)]. 11016 (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. [para(10426(a,2),10935(a,1))]. 11017 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8060(a,2),10896(a,2,2,1))]. 11018 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(286,a,9513,a(flip),b,10900,a),flip(a)]. 11019 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(62,a,10097,a(flip),b,10982,a)]. 11020 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(11019(a,1),7675(a,1,2))]. 11021 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(300,a,11017,a),flip(a)]. 11022 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8060(a,2),11021(a,1,2,1))]. 11023 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10948(a,1),10954(a,2,1))]. 11024 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9186(a,2),11023(a,1,2,1))]. 11026 ((x * y) * z) \ ((R(x,u,x) * y) * z) = R(a(x,u,x),x * y,z). [para(10941(a,1),11023(a,1,2,1))]. 11027 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(62,a,10337,a,b,11024,a)]. 11028 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(4635(a,1),11027(a,1,1,2)),flip(a)]. 11029 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(193(a,2),10931(a,1,2,2,2))]. 11030 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7081(a,1),10913(a,1,1))]. 11031 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(286,a,10245,a(flip),b,11030,a),flip(a)]. 11032 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(62,a,10257,a(flip),b,11031,a)]. 11033 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(489,a,11032,a)]. 11034 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(286,a,10238,a,b,11032,a),flip(a)]. 11036 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11034(a,2),42(a,1))]. 11037 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(39,a,9895,a,b,10915,a),flip(a)]. 11039 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6570,a,11037,a),flip(a)]. 11041 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [hyper(115,a,11039,a,b,xx)]. 11042 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(6883(a,1),11041(a,1,2,1))]. 11043 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(38,a,6895,a,b,11042,a),flip(a)]. 11044 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6583,a,11043,a),flip(a)]. 11045 T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). [hyper(62,a,7639,a(flip),b,11043,a),flip(a)]. 11046 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(6249(a,1),11043(a,2,2))]. 11047 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8062(a,1),11044(a,1,1)),flip(a)]. 11048 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9921(a,1),11044(a,2,2))]. 11049 T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). [para(7613(a,1),11045(a,1,1)),flip(a)]. 11050 T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). [hyper(6583,a,11049,a),flip(a)]. 11051 K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). [hyper(62,a,8561,a(flip),b,11050,a),flip(a)]. 11052 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(11047(a,1),10105(a,1,1))]. 11053 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(110(a,1),11051(a,1,2)),flip(a)]. 11054 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8060(a,1),11052(a,2,1))]. 11055 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8056(a,1),11054(a,2,2))]. 11056 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5938,a,11020,a),flip(a)]. 11057 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9232,a,10923,a)]. 11058 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4635(a,1),11028(a,2,2))]. 11059 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6249(a,1),11046(a,1,1,2))]. 11060 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(4492,a,11059,a),flip(a)]. 11061 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(9477(a,1),11060(a,1,1))]. 11062 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(286,a,9477,a(flip),b,11061,a),flip(a)]. 11063 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(286,a,213,a(flip),b,11062,a),flip(a)]. 11064 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),11063(a,1,1))]. 11065 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7154(a,1),7379(a,1,1))]. 11066 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(286,a,9290,a(flip),b,9296,a),flip(a)]. 11067 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(9416(a,1),11066(a,1,2,1,2,1))]. 11068 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6595(a,1),9567(a,2,1))]. 11069 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(286,a,10406,a(flip),b,9806,a),flip(a)]. 11071 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(286,a,6717,a(flip),b,11069,a),flip(a)]. 11072 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6847(a,1),11071(a,1,2,2))]. 11073 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(62,a,10864,a(flip),b,11072,a)]. 11074 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(10(a,1),10158(a,1,2,2,1))]. 11075 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(7066,a,11074,a),flip(a)]. 11077 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11075(a,1),9953(a,1,2))]. 11078 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(109(a,1),11077(a,1,2,2))]. 11079 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(7027,a,11078,a),flip(a)]. 11080 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(6522(a,1),11079(a,1,2,1))]. 11081 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(7027,a,11080,a),flip(a)]. 11083 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(34,a,10888,a,b,10775,a)]. 11085 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2579(a,1),11083(a,1,2,2))]. 11086 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(286,a,8077,a,b,11085,a),flip(a)]. 11087 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(y,z)). [hyper(62,a,10395,a,b,11085,a)]. 11088 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11085(a,1),8061(a,1,2)),flip(a)]. 11089 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(560(a,1),11086(a,1,2,2))]. 11091 (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. [para(11086(a,1),9101(a,1,2))]. 11092 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(4885(a,1),11089(a,1,2,2,2))]. 11093 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(4893(a,1),11089(a,1,2,2,2)),flip(a)]. 11094 (K(x,K(y,z)) * u) \ 1 = u \ K(x,K(y,z)). [para(8100(a,1),11091(a,1,1)),flip(a)]. 11096 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(8804(a,1),11092(a,1,2)),flip(a)]. 11097 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8434,a,11093,a)]. 11098 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8109,a,11093,a)]. 11099 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(6434(a,2),11093(a,1,2))]. 11100 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11096(a,1),8069(a,1,2))]. 11101 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),11097(a,2,2,2))]. 11102 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(4885(a,1),11097(a,1,2,2,1))]. 11103 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [para(6432(a,2),11097(a,1,2))]. 11104 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(12(a,1),11099(a,2,2,2))]. 11105 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(11099(a,1),8089(a,2,2))]. 11106 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8058,a,11101,a)]. 11107 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(62,a,9961,a(flip),b,11103,a),flip(a)]. 11108 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(11104(a,1),9045(a,2,2))]. 11109 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(62,a,8409,a(flip),b,11106,a)]. 11110 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(8060(a,1),11108(a,2,2))]. 11113 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11109(a,1),10089(a,1,1))]. 11114 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11109(a,1),10359(a,1,1))]. 11115 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8077(a,1),11114(a,1,1))]. 11117 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(62,a,9096,a(flip),b,11115,a)]. 11118 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(73(a,1),11117(a,1,2,2,2))]. 11119 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [hyper(535,a,11110,a),flip(a)]. 11120 (x / y) \ z != y * K(x,K(u,w)) | T(x,K(u,w)) = z. [para(11110(a,1),46(a,1)),flip(a)]. 11121 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8102,a,11113,a)]. 11122 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(73(a,1),11113(a,1,2)),flip(a)]. 11124 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8031(a,1),11121(a,1,1))]. 11125 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8060(a,1),11122(a,2,1))]. 11126 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(10091,a,11124,a)]. 11127 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(175,a,11125,a)]. 11128 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4747,a,11127,a)]. 11129 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(52,a,11128,a)]. 11130 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),11129(a,1,3))]. 11131 a(K(K(x,y),z),u,u \ z) = 1. [para(7940(a,2),11129(a,1,1))]. 11132 a(K(x,K(y,z * u)),z,u) = 1. [para(8031(a,1),11130(a,1,1))]. 11133 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(286,a,8098,a,b,11131,a),flip(a)]. 11135 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(286,a,8035,a(flip),b,11088,a),flip(a)]. 11137 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(62,a,9922,a(flip),b,11135,a)]. 11138 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [hyper(131,a,11105,a)]. 11139 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(11105(a,2),657(a,1,2,2)),flip(a)]. 11140 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7742,a,11137,a)]. 11142 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(9472,a,11138,a)]. 11143 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11118(a,1),11133(a,2,2))]. 11144 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(62,a,8054,a(flip),b,11100,a),flip(a)]. 11145 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7723(a,2),11144(a,2,1))]. 11146 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8427(a,1),11145(a,2,1))]. 11147 T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. [para(11146(a,2),45(a,1))]. 11148 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11146(a,2),6605(a,1,1))]. 11149 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8703,a,11107,a),flip(a)]. 11150 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8422,a,11149,a)]. 11151 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(5993(a,2),11150(a,2,2))]. 11152 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8060(a,2),11143(a,2,2))]. 11153 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7940(a,1),11152(a,1,1))]. 11154 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) != w | K(L(z,y,x) \ u,L(z,y,x)) = w. [para(10839(a,1),10624(a,1))]. 11155 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(11154,a,10670,a)]. 11156 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10586,a(flip),b,11155,a),flip(a)]. 11157 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10585,a(flip),b,11155,a),flip(a)]. 11158 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,10691,a(flip),b,11156,a)]. 11159 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(62,a,7018,a(flip),b,11158,a)]. 11160 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8880,a,11159,a)]. 11161 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(286,a,10213,a(flip),b,11160,a),flip(a)]. 11162 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(64(a,1),11161(a,2,1))]. 11163 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11162(a,1),9182(a,1,1))]. 11164 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10691,a(flip),b,11157,a)]. 11165 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(62,a,10722,a(flip),b,11164,a)]. 11166 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(286,a,10348,a(flip),b,11165,a),flip(a)]. 11167 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8880,a,11166,a)]. 11168 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,11162,a(flip),b,11167,a),flip(a)]. 11169 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(62,a,10348,a,b,11168,a)]. 11170 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(62,a,10211,a,b,11168,a)]. 11171 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(62,a,9770,a(flip),b,11168,a),flip(a)]. 11172 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(62,a,10213,a,b,11170,a)]. 11173 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(286,a,6892,a(flip),b,11068,a),flip(a)]. 11174 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6595(a,1),11173(a,1,1,1))]. 11175 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1899(a,2),11174(a,1,1))]. 11176 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2787(a,1),11175(a,1,1,1,1,2))]. 11177 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9911(a,1),11176(a,1,1,1))]. 11178 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(791,a,11177,a),flip(a)]. 11180 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2796(a,2),11178(a,1,1,2))]. 11181 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(33,a,9133,a,b,11180,a)]. 11183 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(9634,a,11181,a)]. 11184 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(62,a,8888,a,b,11183,a)]. 11195 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8060(a,1),6637(a,1,2,2))]. 11196 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(4659(a,2),6848(a,2,1,2))]. 11197 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6811(a,1),11196(a,2,2))]. 11198 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6820(a,1),11197(a,1,3))]. 11199 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(11198(a,2),473(a,1))]. 11201 R(x,y,T(z,y)) = R(x,y,z). [hyper(11199,a,10592,a)]. 11202 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(11199,a,8923,a)]. 11203 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(11199,a,31,a),flip(a)]. 11205 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(62,a,8135,a,b,11201,a)]. 11207 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(11201(a,1),462(a,1,1))]. 11209 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7723(a,2),11201(a,1,3))]. 11210 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(11201(a,1),10411(a,2,2))]. 11211 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9007(a,1),11205(a,1,2))]. 11212 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(116,a,142,a(flip),b,11207,a)]. 11213 K(R(x / y,y,z),T(u,z * y)) != w | K((z * y) \ (x * T(z,y)),u) = w. [para(11212(a,1),7988(a,1,1))]. 11215 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(11202(a,2),5860(a,1,1))]. 11216 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7653(a,1),11203(a,1,1)),flip(a)]. 11217 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(286,a,4020,a(flip),b,11216,a),flip(a)]. 11218 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [hyper(286,a,3990,a(flip),b,11216,a),flip(a)]. 11220 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(11216(a,1),1135(a,1,1))]. 11221 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4635(a,1),11216(a,1,1)),flip(a)]. 11222 (T(x,y) \ R(T(x,y),z,x)) \ (K(x,T(z,y)) * u) = K(x,T(z * T(x,y),y)) * u. [para(11216(a,1),10887(a,1,1,2))]. 11223 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(1310,a,11218,a)]. 11224 T(x,x * (y / T(x,z))) = T(x,y). [para(77(a,1),11223(a,1,2)),flip(a)]. 11225 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(7923(a,1),11220(a,1,2,1))]. 11226 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7723(a,2),11211(a,1,2))]. 11227 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11226(a,1),10450(a,2,1))]. 11228 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(286,a,10408,a(flip),b,11210,a),flip(a)]. 11229 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7173,a,11228,a)]. 11230 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(25(a,2),11229(a,1,3))]. 11231 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(62,a,2522,a(flip),b,11230,a)]. 11232 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4635(a,1),11221(a,1,1)),flip(a)]. 11233 R(x,y,x * K(z,x)) = R(x,y,x). [para(4635(a,1),11232(a,1,3)),flip(a)]. 11234 R(x \ y,z,x \ y) = R(x \ y,z,y / x). [para(4672(a,1),11233(a,1,3)),flip(a)]. 11235 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(62,a,9166,a(flip),b,11231,a)]. 11236 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(62,a,10703,a,b,11235,a)]. 11237 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8120(a,1),11215(a,1,1,3))]. 11238 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5839(a,1),11237(a,2,2))]. 11239 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(286,a,11238,a(flip),b,11227,a),flip(a)]. 11240 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7777(a,1),11239(a,1,1,2))]. 11241 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8146(a,1),11240(a,1,2))]. 11242 (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(9316(a,2),11241(a,1,1))]. 11243 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(y * T(x,z),z)) * u. [para(7918(a,1),11222(a,1,1))]. 11245 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) != w * u | K(x,T(y * T(x,z),z)) = w. [para(11243(a,2),43(a,1))]. 11247 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(8125(a,1),11225(a,1,2))]. 11248 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(286,a,8928,a(flip),b,11247,a),flip(a)]. 11250 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,u \ 1))) = a(u,u \ 1,L(z,y,x)). [para(890(a,1),7158(a,1,2))]. 11251 (x * y) \ (x * (y * (z * R(z \ 1,u,u \ 1)))) = a(u,u \ 1,L(z,y,x)). [para(889(a,1),11250(a,1,2,2))]. 11252 (x * y) \ (x * (y * a(z,z \ 1,u))) = a(z,z \ 1,L(u,y,x)). [para(6712(a,1),11251(a,1,2,2,2))]. 11253 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [hyper(439,a,11252,a),flip(a)]. 11254 a(x \ 1,(x \ 1) \ 1,L(y,z,u)) = L(a(x \ 1,x,y),z,u). [para(4893(a,1),11253(a,2,1,2))]. 11255 a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). [para(7002(a,1),11253(a,2,1))]. 11256 a(x \ 1,x,L(y,z,u)) = L(a(x \ 1,x,y),z,u). [para(4893(a,1),11254(a,1,2))]. 11257 a(x \ 1,x,L(y \ 1,z,u)) = L(a(y,x \ 1,x),z,u). [para(6528(a,1),11256(a,2,1))]. 11258 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9805(a,1),10082(a,1,1))]. 11259 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9237,a,11258,a),flip(a)]. 11260 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2034(a,1),11259(a,1,2,1,2))]. 11261 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(62,a,9838,a(flip),b,11260,a)]. 11262 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,7442,a(flip),b,11261,a),flip(a)]. 11263 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(6093(a,1),11262(a,1,2,1)),flip(a)]. 11264 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(9482(a,1),10258(a,1,2))]. 11265 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(6249(a,1),11264(a,2,3))]. 11266 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(6072,a,10879,a)]. 11271 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7723(a,2),11195(a,2,1,1))]. 11272 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8496,a,11266,a)]. 11277 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7782(a,1),11271(a,2,1))]. 11278 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(286,a,9126,a(flip),b,11277,a),flip(a)]. 11281 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7257(a,2),11278(a,1,1))]. 11282 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(8805(a,1),11281(a,1,2,2))]. 11283 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [hyper(305,a,11282,a)]. 11284 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5865,a,11283,a)]. 11285 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7258(a,1),11284(a,1,1))]. 11286 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(286,a,8853,a(flip),b,11285,a),flip(a)]. 11287 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(62,a,7374,a(flip),b,11286,a)]. 11288 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11287(a,1),7050(a,1,1,1,2))]. 11289 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4659(a,2),11288(a,1,1,1))]. 11290 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(7941,a,11289,a)]. 11291 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11290(a,1),11248(a,1,1))]. 11292 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(9983(a,1),11291(a,1,1,2,2))]. 11307 (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(286,a,6892,a(flip),b,4801,a),flip(a)]. 11308 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = ((T(z,u) \ 1) * y) \ ((T(z,u) \ 1) * (y * x)). [para(6510(a,1),6513(a,1,2)),flip(a)]. 11309 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z,u) \ 1). [hyper(286,a,18,a,b,11308,a),flip(a)]. 11310 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) != w | L(x,y,T(z,u) \ 1) = w. [para(11308(a,2),439(a,1))]. 11311 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(6653,a,8642,a)]. 11312 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9175(a,1),11311(a,1,3))]. 11313 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(11312(a,1),384(a,1,1)),flip(a)]. 11314 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(11313(a,1),9203(a,1,1))]. 11315 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(11314(a,1),1993(a,1,1)),flip(a)]. 11316 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(9239,a,7278,a(flip)),flip(a)]. 11317 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(163(a,1),11316(a,2,1,2))]. 11318 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1667(a,1),11317(a,1,2)),flip(a)]. 11319 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(8997,a,11318,a)]. 11320 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(62,a,7069,a(flip),b,11318,a),flip(a)]. 11321 a(x,L(y,z,u),K(w,y)) = 1. [hyper(52,a,11318,a)]. 11322 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(76(a,1),7553(a,2,2,2,1,1,2))]. 11323 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(76(a,1),11322(a,1,2))]. 11324 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11323(a,1),7524(a,1,1))]. 11325 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(7218,a,11324,a)]. 11327 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10825,a,11325,a),flip(a)]. 11328 K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). [hyper(286,a,5970,a(flip),b,11325,a),flip(a)]. 11329 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),11325(a,1,2,2)),flip(a)]. 11331 K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). [para(12(a,1),11328(a,1,2,2,1)),flip(a)]. 11332 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10380,a,11327,a),flip(a)]. 11333 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,9331,a(flip),b,11327,a)]. 11334 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11333(a,1),4659(a,2,2)),flip(a)]. 11335 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(10(a,1),11332(a,1,2,2,2)),flip(a)]. 11336 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(20(a,2),11335(a,2,2))]. 11338 K(x,R(y,x,z)) = K(x,y). [hyper(10813,a,11336,a),flip(a)]. 11340 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(62,a,9943,a,b,11338,a)]. 11341 K(R(x,y,z),y) = K(x,y). [hyper(62,a,9848,a,b,11338,a)]. 11342 K(x,x \ (y / z)) = K(x,y / (z * x)). [hyper(62,a,10163,a(flip),b,11338,a),flip(a)]. 11343 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(62,a,7405,a(flip),b,11338,a)]. 11344 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),11338(a,1,2))]. 11345 K(1 / x,T(y / (1 / x),z)) = K(1 / x,T(y * x,z)). [para(908(a,1),11338(a,1,2)),flip(a)]. 11347 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(286,a,11338,a,b,11341,a),flip(a)]. 11349 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11347(a,2),4659(a,2,2))]. 11350 K(x \ (y / z),x) = K(y / (x * z),x). [hyper(6496,a,11343,a),flip(a)]. 11351 K(x,x \ (y / z)) = K(x,(x \ y) / z). [hyper(286,a,9723,a,b,11342,a),flip(a)]. 11352 K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). [hyper(286,a,11325,a(flip),b,11342,a),flip(a)]. 11353 K(x,x \ (y / z)) = K(x,y / (x * z)). [hyper(286,a,9324,a(flip),b,11342,a),flip(a)]. 11355 K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,T(x \ (z \ y),z),x). [para(11342(a,2),10666(a,1,1))]. 11356 T(x,R(y,x,z)) = T(x,y). [hyper(286,a,7672,a(flip),b,11349,a),flip(a)]. 11358 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(487(a,1),11356(a,1,2))]. 11359 K(x \ (y / z),x) = K((x \ y) / z,x). [hyper(286,a,9679,a,b,11350,a),flip(a)]. 11360 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),11351(a,2,2,1))]. 11361 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11353(a,2),11334(a,1,2))]. 11362 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11359(a,2),7837(a,1,1))]. 11363 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4115(a,1),11360(a,1,2,2))]. 11364 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(62,a,7408,a,b,11344,a)]. 11366 ((x * y) * z) * K(y,T(x,z)) = (y * x) * z. [hyper(131,a,11340,a)]. 11367 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11366(a,1),301(a,1,2)),flip(b)]. 11368 ((x * y) * z) * K(y,T(x,(y * x) * z)) = (y * x) * z. [para(9428(a,2),11366(a,1,2))]. 11369 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(286,a,9332,a(flip),b,11352,a),flip(a)]. 11370 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7768,a,11362,a)]. 11371 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(62,a,9471,a(flip),b,11370,a)]. 11372 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11371(a,1),6895(a,1,1,2)),flip(a)]. 11373 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(62,a,11360,a(flip),b,11369,a),flip(a)]. 11374 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11373(a,1),7421(a,1))]. 11375 T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [hyper(4663,a,11361,a)]. 11376 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(7853,a,11368,a)]. 11377 L(x,y * z,K(z,y)) = x. [hyper(4753,a,11376,a)]. 11378 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(546,a,11376,a)]. 11379 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [hyper(532,a,11376,a)]. 11380 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(300,a,11376,a),flip(a)]. 11381 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(62,a,10815,a(flip),b,11376,a)]. 11382 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),11376(a,1,2,1))]. 11383 K(x * y,R(z,x,y)) * (((z * x) * y) * u) = ((x * y) * R(z,x,y)) * u. [para(104(a,1),11376(a,1,2,1))]. 11384 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(81(a,1),11376(a,1,2))]. 11386 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(11376(a,1),448(a,1,2))]. 11387 K(x,(x * y) / x) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(3662(a,2),11376(a,2,1))]. 11388 K(x * y,x / (x * y)) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(6740(a,1),11376(a,2,1))]. 11390 L(x,T(y,z),z) = L(x,y,z). [hyper(7296,a,11377,a)]. 11391 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(62,a,7481,a(flip),b,11377,a)]. 11392 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(62,a,7295,a(flip),b,11377,a),flip(a)]. 11394 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(62,a,449,a(flip),b,11390,a),flip(a)]. 11395 L(x,y \ z,y) = L(x,z / y,y). [para(110(a,1),11390(a,1,2))]. 11398 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11390(a,1),437(a,1,2))]. 11399 L(x,K(y,T(z,u)),u) = L(x,K(y,z),u). [para(7723(a,2),11390(a,1,2))]. 11401 L(x,y,y \ z) = L(x,y,z / y). [para(4672(a,1),11391(a,1,3)),flip(a)]. 11404 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [para(73(a,1),11401(a,2,3))]. 11405 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(11401(a,2),8219(a,1,1))]. 11407 x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. [hyper(311,a,11378,a)]. 11408 x \ (K(x / y,y) * z) = (y * (x / y)) \ z. [para(12(a,1),11378(a,1,1))]. 11409 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(5767(a,1),11378(a,1,2))]. 11410 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [para(10(a,1),11380(a,1,2,1))]. 11411 L(x,K(y,z),z * y) = x. [hyper(747,a,11381,a)]. 11412 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(512,a,11381,a)]. 11413 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(115,a,10,a(flip),b,11381,a),flip(a)]. 11415 (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). [para(8581(a,1),11381(a,1,2))]. 11416 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(286,a,11390,a,b,11411,a),flip(a)]. 11417 L(x,K(y,z),z * y) != u | x = u. [para(11411(a,1),49(a,2))]. 11418 L(K(x,T(y,z)) * u,K(y,x),z) = (K(y,x) * z) \ (z * u). [hyper(62,a,10079,a(flip),b,11399,a),flip(a)]. 11419 (x * y) \ (y * (x * z)) = K(x,y) \ L(z,x,y). [hyper(115,a,18,a,b,11413,a),flip(a)]. 11421 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(8032(a,1),11413(a,1,1))]. 11423 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(182,a,11392,a(flip))]. 11424 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5745(a,1),11392(a,2,2,2)),flip(a)]. 11425 K(x \ y,x) * ((x \ y) \ (y * z)) = (x \ y) \ (((x \ y) * x) * z). [hyper(115,a,11382,a(flip),b,5733,a),flip(a)]. 11427 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(11382(a,1),8620(a,1,2,1))]. 11428 (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,(y * x) \ y) * z). [para(195(a,2),11407(a,2,1,1)),flip(a)]. 11429 x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. [para(4777(a,2),11408(a,1,2,1))]. 11431 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(131,a,11429,a)]. 11432 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [hyper(286,a,11410,a,b,11431,a)]. 11433 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(33,a,5846,a(flip),b,11431,a),flip(a)]. 11434 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [hyper(131,a,11433,a),flip(a)]. 11436 L(K(x,y) * z,y,x) = K(y,x) \ L(z,y,x). [hyper(62,a,11419,a(flip),b,11424,a),flip(a)]. 11437 L(K(x,y) * z,y,x) = K(x,y) * L(z,y,x). [hyper(286,a,5839,a(flip),b,11436,a),flip(a)]. 11438 (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). [hyper(115,a,10605,a,b,11379,a(flip))]. 11439 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [hyper(33,a,11412,a,b,11432,a(flip))]. 11440 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x,y) \ 1) * (y \ z). [para(8573(a,1),11439(a,2,1,2)),flip(a)]. 11441 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(286,a,6895,a(flip),b,11372,a),flip(a)]. 11442 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7981,a,11441,a)]. 11443 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(73(a,1),11442(a,1,2,1,2)),flip(a)]. 11444 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(62,a,9264,a,b,11443,a)]. 11445 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11338(a,1),11364(a,1,1))]. 11448 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(x * y,K(z,T(u,x))) * ((x * K(z,u)) * y). [para(8146(a,1),11384(a,1,2,1)),flip(a)]. 11449 L(K(x,T(y,K(y,x) \ z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). [hyper(286,a,147,a(flip),b,11418,a),flip(a)]. 11450 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(62,a,10580,a(flip),b,11363,a),flip(a)]. 11451 K(x,x \ (x * y)) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(4788(a,2),11387(a,1,1))]. 11453 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3938(a,1),11409(a,1,2))]. 11454 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(104(a,1),11453(a,2,2))]. 11455 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(6209,a,11425,a),flip(a)]. 11456 K(x,y) * ((((x * y) / x) * x) * z) = (T(x,y) * y) * z. [para(9(a,1),11451(a,1,1,2))]. 11457 K(x,y) * ((x * y) * z) = (T(x,y) * y) * z. [para(12(a,1),11456(a,1,2,1))]. 11459 (L(x \ 1,x,y) * (y * x)) \ z = y \ (K(y * x,x \ 1) * z). [para(6719(a,1),11428(a,2,2,1))]. 11461 (x * K(y,y \ (x \ 1))) \ z = x \ (K(x * y,y \ 1) * z). [para(10662(a,1),11459(a,1,1))]. 11462 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,11358,a)]. 11463 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4371(a,2),11444(a,2,2))]. 11464 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(286,a,14,a,b,11454,a)]. 11465 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(131,a,11464,a(flip))]. 11466 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(286,a,3932,a,b,11462,a),flip(a)]. 11467 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(286,a,9800,a(flip),b,11463,a),flip(a)]. 11468 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(286,a,8423,a(flip),b,11467,a),flip(a)]. 11469 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(10625,a,11468,a),flip(a)]. 11471 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(286,a,9073,a,b,11469,a)]. 11472 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11471(a,1),4667(a,2,1)),flip(a)]. 11473 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(62,a,9903,a(flip),b,11472,a),flip(a)]. 11474 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11473(a,2),6195(a,1,2))]. 11475 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(262,a,11474,a)]. 11476 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(286,a,27,a,b,11466,a),flip(a)]. 11477 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11375(a,2),11476(a,1,1))]. 11478 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),11477(a,1,1,2,2)),flip(a)]. 11479 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(643,a,11478,a),flip(a)]. 11480 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11478(a,1),6381(a,1,2,1))]. 11481 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(62,a,936,a(flip),b,11479,a)]. 11482 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(9(a,1),11479(a,1,1,2)),flip(a)]. 11483 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(594(a,1),11479(a,1,1)),flip(a)]. 11484 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(9003(a,1),11479(a,1,1)),flip(a)]. 11486 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(6100(a,1),11481(a,2,1))]. 11487 K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). [para(11483(a,1),7445(a,1,2,1))]. 11488 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1122(a,1),11482(a,1,1)),flip(a)]. 11489 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(7394(a,1),11484(a,1,1))]. 11490 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7723(a,2),11489(a,2,1))]. 11491 ((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(8450(a,1),11490(a,2,1))]. 11492 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(286,a,210,a(flip),b,11488,a),flip(a)]. 11493 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(27(a,2),11492(a,2,1))]. 11494 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(286,a,597,a(flip),b,11493,a),flip(a)]. 11495 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11494(a,1),4623(a,1,1))]. 11496 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4860,a,11495,a),flip(a)]. 11497 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8880,a,11496,a)]. 11498 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(286,a,10346,a,b,11497,a),flip(a)]. 11499 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5885(a,1),11386(a,1,1))]. 11501 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6382,a,11480,a),flip(a)]. 11503 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(11501(a,1),4594(a,1,1,2))]. 11504 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4675(a,1),11499(a,1,1,2)),flip(a)]. 11505 L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. [para(11504(a,2),855(a,1))]. 11506 L(K(x,T(y,z)) * u,K(y,x),K(y,x) \ z) = z \ ((K(y,x) \ z) * u). [para(8757(a,1),11449(a,1,1,1,2))]. 11507 L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(y,x) \ z) * u). [para(5839(a,1),11506(a,1,3))]. 11509 L(K(x,T(y,z)) * u,K(y,x),K(x,y) * z) = z \ ((K(x,y) * z) * u). [para(5839(a,1),11507(a,2,2,1))]. 11510 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(286,a,7777,a(flip),b,11329,a),flip(a)]. 11511 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(286,a,8488,a(flip),b,11486,a),flip(a)]. 11512 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(8364(a,1),11511(a,1,1)),flip(a)]. 11513 (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(11512(a,1),10980(a,1,2))]. 11515 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(6098(a,1),11503(a,1,1))]. 11516 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,11515,a)]. 11517 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4594(a,1),11516(a,1,1)),flip(a)]. 11518 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(286,a,29,a(flip),b,11517,a),flip(a)]. 11519 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(11518(a,1),1155(a,1,1,1)),flip(a)]. 11520 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(286,a,9425,a(flip),b,11510,a),flip(a)]. 11521 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7981,a,11520,a)]. 11522 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(62,a,11067,a(flip),b,11521,a)]. 11524 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,9430,a(flip),b,11522,a)]. 11525 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(11427,a,11524,a),flip(a)]. 11526 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(65(a,1),11525(a,1,2,2))]. 11527 K(x * y,(x * y) \ x) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(4788(a,2),11388(a,1,1))]. 11529 K(x * y,y \ 1) * (((x / (x * y)) * (x * y)) * z) = (x * K(x * y,y \ 1)) * z. [para(6719(a,1),11527(a,1,1))]. 11530 (x * K(x * y,y \ 1)) * z = K(x * y,y \ 1) * (x * z). [para(12(a,1),11529(a,1,2,1)),flip(a)]. 11533 ((x * (y * z)) / L(z,y,x)) * R(L(z,y,x),u,L(z,y,x)) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [para(428(a,1),8355(a,1,2)),flip(a)]. 11534 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(4884(a,1),8732(a,1,1,2,2,2))]. 11535 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(8688(a,1),11534(a,1,1))]. 11536 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(33,a,10509,a(flip),b,11535,a),flip(a)]. 11538 K(x,(y / z) / y) = K(x,y / (y * z)). [para(4884(a,1),11536(a,1,2,1,2))]. 11540 (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(4638(a,1),9031(a,1,1))]. 11541 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(655,a,11540,a),flip(a)]. 11542 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11540(a,1),655(a,1))]. 11543 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5715(a,1),11541(a,1,2)),flip(a)]. 11544 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = (T(x,y \ 1) * T(y \ 1,z)) * K(y,u \ 1). [para(6458(a,1),10278(a,2,2))]. 11545 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(73(a,1),10280(a,1,2,1)),flip(a)]. 11547 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(7723(a,2),11545(a,2,2))]. 11548 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(286,a,7809,a(flip),b,11547,a),flip(a)]. 11550 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(62,a,8932,a(flip),b,11548,a),flip(a)]. 11552 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11550(a,2),8708(a,1))]. 11553 ((1 / (1 / K(x,y))) \ z) * (K(u,w) * K(v5,u)) = ((K(y,x) * z) * K(u,w)) * K(v5,u). [para(2402(a,1),10523(a,1,1,2)),flip(a)]. 11554 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7920(a,1),11553(a,2,1))]. 11555 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(286,a,11043,a,b,11554,a),flip(a)]. 11556 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2406(a,1),11555(a,1,1,1))]. 11557 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5839(a,1),11556(a,1,1))]. 11558 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(286,a,8115,a,b,11557,a),flip(a)]. 11559 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(62,a,11057,a(flip),b,11557,a),flip(a)]. 11560 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2093(a,1),11558(a,1,2))]. 11561 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,11560,a(flip),b,4669,a)]. 11562 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8118(a,1),11559(a,1,1)),flip(a)]. 11563 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,10702,a(flip),b,10663,a)]. 11564 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10695,a,11563,a)]. 11565 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10858,a,11564,a)]. 11566 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(8(a,1),11565(a,1,2,2,1))]. 11567 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(286,a,6173,a,b,11566,a),flip(a)]. 11568 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(286,a,10882,a(flip),b,11567,a),flip(a)]. 11569 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(8(a,1),11568(a,2,2,2,1))]. 11570 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7778(a,1),10733(a,2,2))]. 11571 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(8284,a,10899,a),flip(a)]. 11572 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(10920(a,1),10927(a,2,2,1,1))]. 11573 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(4781(a,1),11572(a,2,2,1))]. 11575 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4781(a,1),11573(a,1,1,2,1))]. 11576 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(62,a,5861,a(flip),b,11575,a)]. 11577 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(11575(a,1),465(a,1,1,1)),flip(a)]. 11578 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(11575(a,2),7471(a,1,1))]. 11580 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(8032(a,1),11578(a,1,1,1,2,1))]. 11581 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(4884(a,1),11263(a,2,2,1,2))]. 11582 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6717(a,1),11581(a,1,2,1,1,2,1))]. 11583 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(62,a,10325,a(flip),b,11582,a),flip(a)]. 11584 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,11081,a(flip),b,11583,a),flip(a)]. 11585 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(62,a,11526,a(flip),b,11584,a),flip(a)]. 11586 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(9807,a,11585,a),flip(a)]. 11587 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9970,a,11586,a),flip(a)]. 11588 (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(6892(a,1),11307(a,1,1))]. 11589 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K((T(x,y) \ 1) \ y,T(x \ 1,y)) * (y \ z). [para(7968(a,2),11440(a,2,1))]. 11591 (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(4207(a,1),11491(a,1,1))]. 11592 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(4199(a,1),11513(a,1,2,1)),flip(a)]. 11593 (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(4781(a,1),11588(a,1,2,2,1)),flip(a)]. 11594 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(286,a,10109,a(flip),b,11593,a),flip(a)]. 11595 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(6899,a,11594,a)]. 11597 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y / (T(x,y) \ 1),x \ 1) * (y \ z). [para(8158(a,1),11589(a,2,1))]. 11598 (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(8146(a,1),11591(a,1,1,2))]. 11599 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8747,a,11598,a),flip(a)]. 11600 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9787(a,1),11599(a,1,1))]. 11601 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(62,a,7246,a(flip),b,11600,a)]. 11603 K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z). [hyper(286,a,6965,a,b,11601,a)]. 11604 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(286,a,10886,a,b,11603,a)]. 11605 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11604(a,1),8344(a,1))]. 11606 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = (y \ K(y,z \ 1)) * x. [hyper(286,a,6460,a(flip),b,6505,a),flip(a)]. 11607 L(x,y \ 1,y) * T(L(x,y \ 1,y) \ (y \ L(x,y \ 1,y)),z) = T(y \ 1,z) * x. [para(6464(a,1),11606(a,2,1))]. 11608 R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,T(x,K(y,z))). [para(8116(a,1),8292(a,1,1)),flip(a)]. 11609 R(T(x,K(y,z)),K(y,z),T(x,K(y,z))) = x * K(K(y,z) * x,x). [para(6774(a,1),11608(a,2,2))]. 11610 (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(7914(a,1),8363(a,1,1))]. 11611 (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(1680(a,2),9205(a,1,2,2))]. 11612 K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). [hyper(6932,a,9686,a)]. 11613 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(4817(a,1),11612(a,2,2))]. 11614 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10512(a,1),10782(a,1,1)),flip(a)]. 11615 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7754(a,1),11614(a,2,2))]. 11617 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3322(a,1),10783(a,1,1))]. 11618 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),10932(a,1,1,1)),flip(a)]. 11620 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10441(a,1),11618(a,1,2,1)),flip(a)]. 11622 ((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(11620(a,1),8495(a,1,2,2))]. 11623 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5745(a,1),11622(a,1,2)),flip(a)]. 11624 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(286,a,5734,a(flip),b,11623,a),flip(a)]. 11626 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(286,a,5846,a(flip),b,11624,a),flip(a)]. 11628 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(8493(a,1),11626(a,1,2))]. 11629 L(x,K(y,z) * K(u,z),T(z,u)) != w | w = x. [para(11628(a,1),49(a,1)),flip(a)]. 11630 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(x * y,T(u,x))) * ((x * K(z,u)) * y). [para(8056(a,1),11448(a,2,1))]. 11631 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(286,a,1155,a(flip),b,11519,a),flip(a)]. 11632 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),11631(a,2,3))]. 11633 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(92(a,1),11611(a,1,2)),flip(a)]. 11634 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4893(a,1),3570(a,1,1))]. 11635 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(6162,a,11634,a)]. 11636 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(104(a,1),11635(a,1,1,2))]. 11637 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(14(a,2),11636(a,1,1)),flip(a)]. 11638 T(a(x,y,z),x) = a(x,y,z). [hyper(4924,a,11637,a),flip(a)]. 11639 a(x,y,z) * x = x * a(x,y,z). [para(11638(a,1),108(a,1,2)),flip(a)]. 11640 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3805(a,1),11638(a,1,1))]. 11643 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4654(a,1),7122(a,1,2,2,1))]. 11645 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(6556(a,1),11643(a,1,2,2))]. 11646 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(157,a,11645,a)]. 11647 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(64(a,1),11646(a,2,1))]. 11648 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(115,a,5786,a(flip),b,11647,a)]. 11649 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(62,a,9335,a(flip),b,7455,a),flip(a)]. 11651 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1821(a,1),8914(a,2,1))]. 11652 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(62,a,11651,a(flip),b,8915,a),flip(a)]. 11653 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1821(a,1),11652(a,1,1)),flip(a)]. 11654 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(11653(a,1),11126(a,1,1,1,1))]. 11655 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5742(a,2),11654(a,1,1))]. 11656 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8241,a,11655,a)]. 11657 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,11098,a(flip),b,11656,a)]. 11658 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),11657(a,1,2,2)),flip(a)]. 11659 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11658(a,1),8055(a,1))]. 11660 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(286,a,6718,a(flip),b,9547,a),flip(a)]. 11661 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(9(a,1),11660(a,2,2))]. 11662 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6992,a,11661,a)]. 11663 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(9(a,1),11662(a,1,2))]. 11664 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9638,a,11663,a)]. 11665 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(286,a,10848,a(flip),b,10791,a),flip(a)]. 11666 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(8115(a,1),11561(a,1,1))]. 11667 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(286,a,11569,a(flip),b,11665,a),flip(a)]. 11668 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(286,a,11073,a(flip),b,11667,a),flip(a)]. 11670 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2439(a,1),11668(a,1,2))]. 11671 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11670(a,1),6895(a,1,1,2)),flip(a)]. 11672 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(286,a,6895,a(flip),b,11671,a),flip(a)]. 11673 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(11672(a,1),7010(a,1,1,2))]. 11674 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(10732(a,1),11673(a,1,1,2))]. 11675 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),11674(a,1,1,2,1,2))]. 11676 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(6090(a,1),11675(a,1,1))]. 11677 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,11676,a)]. 11678 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(7014(a,1),11677(a,1,1)),flip(a)]. 11679 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4038,a,11678,a)]. 11680 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(140,a,11679,a)]. 11681 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11679(a,1),433(a,1,2))]. 11682 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11679(a,1),7698(a,1,2))]. 11683 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(286,a,4819,a,b,11680,a)]. 11685 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(11498(a,1),11683(a,1,1,2))]. 11687 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10804(a,1),11682(a,1))]. 11688 x * (y * R(z,u,L(z,y,x))) != w | x * (y * R(z,u,z)) = w. [para(11681(a,1),261(a,1))]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6098(a,1),11685(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(7011(a,1),11689(a,1,1,1,2))]. 11691 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,11690,a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(7014(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(62,a,11680,a(flip),b,11692,a)]. 11694 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),470(a,1,1)),flip(a)]. 11695 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(286,a,104,a(flip),b,11694,a),flip(a)]. 11696 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10495(a,1),11695(a,1,1,1)),flip(a)]. 11697 (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(286,a,7116,a(flip),b,7321,a),flip(a)]. 11698 (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(286,a,9153,a(flip),b,11697,a),flip(a)]. 11699 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10410(a,1),11698(a,2,2))]. 11700 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7107(a,1),11699(a,1,1))]. 11701 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(7318(a,1),11700(a,1,2))]. 11702 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(62,a,7290,a(flip),b,11701,a)]. 11703 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9435(a,1),11702(a,1,2))]. 11704 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11680(a,1),11703(a,1,2))]. 11705 (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(11692(a,1),11703(a,1,2))]. 11706 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10979,a,11704,a),flip(a)]. 11708 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11706(a,1),10412(a,1,2)),flip(a)]. 11709 K(x * L(y,z,u),y) = K(y * x,y). [hyper(286,a,9193,a(flip),b,11708,a),flip(a)]. 11711 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(62,a,11319,a(flip),b,11709,a)]. 11712 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(62,a,9541,a(flip),b,11709,a),flip(a)]. 11714 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(62,a,10725,a(flip),b,11712,a)]. 11715 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8345,a,11714,a)]. 11717 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(286,a,6414,a(flip),b,11711,a),flip(a)]. 11718 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11605,a,11717,a)]. 11719 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(62,a,11320,a(flip),b,11717,a)]. 11720 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11717(a,1),10160(a,1,1,2))]. 11722 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(286,a,10723,a(flip),b,11719,a),flip(a)]. 11723 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(92(a,1),11722(a,1,1,2))]. 11724 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9625,a,11723,a)]. 11725 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(62,a,9591,a(flip),b,11723,a)]. 11726 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,11171,a,b,11725,a)]. 11727 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(10728,a,11724,a(flip)),flip(a)]. 11728 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(62,a,10307,a(flip),b,11727,a)]. 11729 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),11728(a,2,1))]. 11730 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11687,a,11729,a),flip(a)]. 11731 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(11729(a,1),11687(a,1))]. 11732 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10644,a,11730,a)]. 11733 K(x,L(x \ y,y,z)) = K(x,x \ y). [hyper(10623,a,11730,a),flip(a)]. 11734 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11730(a,1),10644(a,1))]. 11735 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(11417,a,11732,a),flip(a)]. 11736 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10673,a,11732,a)]. 11737 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10631,a,11732,a),flip(a)]. 11738 K(x,L(T(T(y,z),u * z),z,u)) = K((u * z) / (u * (x \ z)),y). [hyper(10083,a,11732,a),flip(a)]. 11739 K(x,L(y,z * y,u)) = K(x,L(y,z,u)). [hyper(9780,a,11732,a),flip(a)]. 11740 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(8745,a,11732,a),flip(a)]. 11741 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(8743,a,11732,a),flip(a)]. 11742 K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). [hyper(7335,a,11732,a),flip(a)]. 11743 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(7183,a,11732,a)]. 11744 K(x,L(y,y,z)) = K(x,y). [hyper(6981,a,11732,a),flip(a)]. 11745 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(286,a,4781,a,b,11732,a)]. 11746 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(62,a,10241,a,b,11732,a)]. 11747 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(62,a,11587,a(flip),b,11732,a)]. 11748 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(62,a,9473,a(flip),b,11732,a),flip(a)]. 11749 K(x,L(T(y,z),y,u)) = K(x,T(y,z)). [hyper(62,a,7781,a(flip),b,11732,a),flip(a)]. 11750 K((x \ y) \ z,L(u,z,x)) = K(y \ (x * z),u). [hyper(62,a,7069,a(flip),b,11732,a),flip(a)]. 11751 K(x,L(y,z * x,u / (z * T(x,y)))) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(62,a,6829,a(flip),b,11732,a),flip(a)]. 11753 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11732(a,1),92(a,1,2))]. 11754 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(268(a,1),11732(a,2,2))]. 11755 x * K(y,L(z,u,x / u)) = (x / u) * (u * K(y,z)). [para(11732(a,1),426(a,1,2))]. 11756 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(445(a,1),11732(a,2,2))]. 11757 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11732(a,1),427(a,1,2,2))]. 11759 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(11732(a,1),1254(a,1,2,1))]. 11760 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11732(a,2),4659(a,2,2)),flip(a)]. 11761 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6717(a,1),11732(a,1,1)),flip(a)]. 11762 K(x,L(y,y,z)) != u | K(x,y) = u. [para(11732(a,1),6981(a,1))]. 11763 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11732(a,1),7335(a,1))]. 11764 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11732(a,2),8606(a,1,2))]. 11765 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(11732(a,1),8745(a,1))]. 11766 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11732(a,1),9237(a,1))]. 11767 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11732(a,1),8591(a,1,2))]. 11768 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11732(a,1),10236(a,1,2))]. 11769 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11732(a,1),10239(a,1,2))]. 11770 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11732(a,1),10242(a,1,1))]. 11771 K(x,L(y,y * z,u)) != w | K(x,L(y,z,u)) = w. [para(11732(a,1),10672(a,1))]. 11772 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11732(a,1),11398(a,1,2))]. 11774 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(11416(a,1),11735(a,1,2))]. 11775 K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(R(y,z,u),z * u,w)). [para(171(a,1),11736(a,1,2,2)),flip(a)]. 11776 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(38,a,9490,a,b,11745,a)]. 11777 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11745(a,1),4783(a,1))]. 11778 K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,u)). [hyper(62,a,9628,a,b,11776,a)]. 11780 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(62,a,11732,a(flip),b,11776,a),flip(a)]. 11781 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(11776(a,2),7940(a,1,1))]. 11782 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(11776(a,2),8242(a,1,1))]. 11783 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11776(a,1),10236(a,1,2))]. 11784 K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). [hyper(8346,a,11780,a),flip(a)]. 11785 K(x,L(y,z,u)) \ 1 = K(y,L(x,z,u)). [hyper(4931,a,11780,a)]. 11786 K(x,L(y,z * K(y,u),w)) = K(L(x,z,w),y). [hyper(286,a,10069,a,b,11780,a)]. 11787 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(62,a,11737,a,b,11780,a)]. 11788 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(62,a,11730,a(flip),b,11780,a),flip(a)]. 11789 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(62,a,11405,a(flip),b,11780,a),flip(a)]. 11790 K(x \ K(y,x \ 1),L(z,u,w)) = K(L(x \ 1,u,w),T(z,y)). [hyper(62,a,8448,a(flip),b,11780,a),flip(a)]. 11791 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(268(a,1),11780(a,1,1)),flip(a)]. 11792 K(x,L(y * z,z,y)) * (y * (z * x)) = L(x,z,y) * (y * z). [para(11780(a,1),4751(a,1,1))]. 11793 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(11780(a,1),6934(a,1,2))]. 11794 K(x \ y,L(T(z,u * x),x,u)) != w | K((u * y) / (u * x),z) = w. [para(11780(a,1),8346(a,1))]. 11795 K(x,L(y,z \ u,z)) = K(x,L(y,u / z,z)). [para(110(a,1),11774(a,1,2,2))]. 11796 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(11785(a,1),4783(a,1))]. 11797 K(x,L(y,T(z,x),u)) = K(x,L(y,z * x,u)). [hyper(286,a,10539,a,b,11787,a)]. 11798 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(10(a,1),11787(a,1,2,2))]. 11799 K(x,L(y,x * z,u)) = K(x,L(y,z,u)). [para(9(a,1),11788(a,1,2,2)),flip(a)]. 11800 K(L(x,y \ z,u),T(y,w)) = (K(y,L(x,z,u)) * w) \ w. [para(11788(a,1),7851(a,1,1,1)),flip(a)]. 11801 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11780(a,2),11734(a,1))]. 11802 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8601(a,1),11777(a,1))]. 11803 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(9246(a,2),11777(a,1))]. 11804 K(x,L(y,z,u) \ 1) != w | K(x,L(y \ 1,z,u)) = w. [para(9473(a,1),11777(a,1))]. 11805 K(x,L(y \ 1,z,u) \ 1) != w | K(x,L(y,z,u)) = w. [para(9474(a,2),11777(a,1))]. 11806 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(10241(a,2),11777(a,1))]. 11807 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11776(a,1),11777(a,1))]. 11808 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(11732(a,2),11796(a,1))]. 11809 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8060(a,2),11801(a,1))]. 11810 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11737(a,2),11807(a,1))]. 11811 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(9498(a,1),11740(a,1,2)),flip(a)]. 11812 K(x,L(K(y,z),u,w)) = K(x,L(K(z,y),u,w)). [hyper(286,a,11740,a,b,11741,a)]. 11813 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9771(a,1),11741(a,1,2)),flip(a)]. 11814 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(62,a,10238,a(flip),b,11746,a)]. 11815 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11777,a,11747,a),flip(a)]. 11816 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(11747(a,1),11777(a,1))]. 11817 K(x \ y,L(z \ 1,u,w)) != v5 | K(y \ x,L(z,u,w)) = v5. [para(11748(a,2),6802(a,1))]. 11819 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11768(a,1),2098(a,1))]. 11820 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11768(a,1),6011(a,2,2))]. 11821 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11768(a,1),5725(a,1,2)),flip(a)]. 11822 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11769(a,1),6909(a,1,1))]. 11823 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,10251,a(flip),b,11770,a)]. 11824 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11770(a,1),2094(a,1))]. 11825 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8060(a,2),11823(a,1,3))]. 11826 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(62,a,10244,a(flip),b,11783,a)]. 11827 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(11781(a,1),11783(a,1,2))]. 11828 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11826(a,1),10331(a,2,2))]. 11830 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10643(a,1),11798(a,2,2))]. 11831 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [para(9492(a,2),11812(a,1,2))]. 11833 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11404(a,1),11815(a,2,2))]. 11834 K(x,L(y,x \ z,u)) != w | K(x,L(y,z,u)) = w. [para(11780(a,1),11731(a,1))]. 11835 K(((x / y) \ 1) \ z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). [para(6431(a,1),11750(a,1,1,1))]. 11836 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11753(a,1),42(a,1)),flip(a)]. 11837 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(268(a,1),11753(a,1,2,2))]. 11838 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z) \ 1,x)) = x * ((L(x,y,z) \ 1) * K(u,w)). [para(1237(a,1),11753(a,1,1))]. 11839 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11753(a,1),4663(a,1))]. 11840 (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x * K(y,z))) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(7541(a,1),11753(a,1,1))]. 11841 (x * (y * K(z,u))) * K(w,L(v5,K(z,L(u,y,x)),x * y)) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). [para(11753(a,1),11753(a,1,1))]. 11842 K(x,(y * z) \ u) * a(y,z,K(x,z \ (y \ u))) = K(x,z \ (y \ u)). [para(11754(a,1),10249(a,1,1))]. 11843 K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z) \ 1,x)) = K(((L(x,y,z) \ 1) * x) \ u,w). [para(4930(a,2),11791(a,2,1,1))]. 11844 K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. [para(11791(a,2),8080(a,1,2))]. 11845 K(x,L(y,T(z,x),u)) != w | K(x,L(y,z,u)) = w. [para(11797(a,2),11810(a,1))]. 11846 K(x,L(y,z,u)) != w | K(x,L(y,x * z,u)) = w. [para(9(a,1),11834(a,1,2,2))]. 11847 K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). [hyper(286,a,11732,a(flip),b,11761,a),flip(a)]. 11848 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11761(a,2),11777(a,1))]. 11849 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(8605,a,11811,a)]. 11850 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11102(a,1),11825(a,1,3))]. 11851 K((x \ y) \ y,L(z \ u,w,v5)) = K(x,T(L((u \ z) \ 1,w,v5),y)). [hyper(7986,a,11847,a),flip(a)]. 11852 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11401(a,2),11755(a,1,2,2))]. 11853 x * ((x \ y) * K(z,(x \ y) \ u)) = y * K(z,y \ (x * u)). [para(11756(a,1),425(a,1,2)),flip(a)]. 11854 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(11782,a,10874,a(flip)),flip(a)]. 11855 K(x,R(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(6671(a,2),11805(a,1,2))]. 11856 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10244(a,1),11822(a,1))]. 11859 K(x,L(T(y,z),u,u \ z)) * z = (z / u) * (u * K(x,y)). [hyper(62,a,8148,a,b,11852,a)]. 11860 x * K(y,L(z,u / K(y,z),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. [para(12(a,1),11852(a,2,2))]. 11861 (x / y) * (y * K(x,z)) != u | T(x,L(z,y,y \ x)) = u. [para(11852(a,1),4663(a,1))]. 11862 ((x / y) * (y * K(z,u))) \ x = K(L(u,y,y \ x),z). [para(11852(a,1),6895(a,1,1))]. 11863 (x / (y * z)) * ((y * z) * K(u,z)) = x * K(u,L(z,y,(y * z) \ x)). [para(11739(a,1),11852(a,1,2)),flip(a)]. 11864 K(x,R(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). [hyper(11855,a,xx),flip(a)]. 11865 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(11864(a,1),11086(a,1,2))]. 11866 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(3011(a,1),11865(a,1,2,2))]. 11867 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,w \ 1,w))). [para(11866(a,2),11110(a,2,2))]. 11868 ((x / y) * (y * K(z,u))) \ x = K(u,L(z,y,y \ x)). [hyper(286,a,11780,a(flip),b,11862,a),flip(a)]. 11870 K(L(x,y \ z,u),T(y,w)) = K(L(x,z,u),T(y,w)). [hyper(286,a,7851,a(flip),b,11800,a),flip(a)]. 11871 K(L(x,y \ z,u),T(y,w)) = K(x,L(T(y,w),z,u)). [hyper(286,a,11780,a(flip),b,11870,a),flip(a)]. 11872 K(x,L(T(y,z),y \ u,w)) = K(x,L(T(y,z),u,w)). [hyper(11807,a,11871,a)]. 11873 K(x,L(T(y,z),u,w)) != v5 | K(x,L(T(y,z),y \ u,w)) = v5. [para(11871(a,1),11807(a,1))]. 11874 K(x,L(T((y * z) / y,u),T(K(z,y) * w,z),v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). [para(7871(a,1),11872(a,1,2,2))]. 11875 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(451(a,1),11813(a,1,2,2)),flip(a)]. 11876 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11828(a,1),9991(a,2,2))]. 11877 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) / (u \ 1),z). [hyper(62,a,8608,a(flip),b,11789,a)]. 11878 K(T(x,y) \ z,L(T(u,w),T(x,y),T(x,y) \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [para(6605(a,2),11789(a,2,1,1,1))]. 11879 K(L(T(x,y),z,z \ y),z \ u) = (w * K(((y / z) * u) / y,x)) \ w. [para(11789(a,1),6895(a,1,1,2)),flip(a)]. 11880 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K((((T(u,w) \ 1) / x) * y) / (T(u,w) \ 1),z). [para(8643(a,2),11789(a,1,2,1))]. 11881 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(11793,a,11820,a)]. 11882 (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(4150(a,1),11881(a,1,1))]. 11883 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [hyper(11120,a,11867,a)]. 11884 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(444(a,1),11883(a,1,2,2)),flip(a)]. 11885 T(x,K(y,z \ (u \ 1))) = T(x,K(y,u * z)). [hyper(8438,a,11884,a)]. 11886 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(6437(a,1),11884(a,1,2)),flip(a)]. 11887 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8442,a,11886,a),flip(a)]. 11888 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(286,a,8706,a(flip),b,11886,a),flip(a)]. 11889 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(62,a,11140,a(flip),b,11888,a)]. 11890 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(4893(a,1),11888(a,1,2,2,2))]. 11891 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8438,a,11889,a)]. 11892 T(x,K(y,x * z)) = T(x,K(y,z)). [para(9(a,1),11889(a,1,2,2)),flip(a)]. 11893 T(x,K(y,x / z)) = T(x,K(y,z)). [para(76(a,1),11891(a,1,2,2)),flip(a)]. 11894 K(x,K(y \ z,(u \ 1) \ (u \ z))) = (u \ z) \ (u \ T(z,K(x,y))). [para(11891(a,1),8586(a,2,2,2))]. 11895 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,11892,a),flip(a)]. 11896 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(11893(a,1),6205(a,2,1,1))]. 11897 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(11895(a,1),23(a,1,1)),flip(a)]. 11898 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(11895(a,1),8127(a,1,1))]. 11899 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(11890(a,1),4767(a,1,1))]. 11900 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(286,a,7616,a(flip),b,11897,a),flip(a)]. 11901 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(115,a,11900,a(flip),b,7920,a)]. 11902 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5981,a,11898,a)]. 11903 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(11902(a,1),213(a,1,2))]. 11904 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(8439,a,11887,a),flip(a)]. 11905 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8424,a,11904,a)]. 11906 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(286,a,4659,a(flip),b,11905,a),flip(a)]. 11907 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4727,a,11906,a)]. 11908 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4490(a,2),11903(a,1,2))]. 11909 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11798(a,1),11763(a,1))]. 11910 K(x \ ((y \ 1) * z),L(u,x,y)) != w | K((y * x) \ L(z,y \ 1,y),u) = w. [para(393(a,1),11909(a,1,1,2))]. 11911 K(L(x \ 1,y,z),T(u,w)) = K(x,T(L(u,y,z) \ 1,w)). [hyper(62,a,8484,a(flip),b,11790,a),flip(a)]. 11912 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11803,a,9815,a)]. 11913 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [hyper(8342,a,11827,a)]. 11914 x * (y * K(z,y \ (x \ 1))) = T((x * y) \ 1,z) \ 1. [hyper(6038,a,11837,a),flip(a)]. 11915 x * (y * K(z,y \ (x \ ((x * y) * u)))) = (x * y) * K(z,u). [para(9(a,1),11837(a,1,2,2)),flip(a)]. 11916 x * (L(x \ 1,y \ 1,y) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(713(a,1),11914(a,1,2,2,2))]. 11917 x * (L(x \ 1,y,y \ 1) * K(z,a(y \ 1,y,x \ 1))) = T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1. [para(6339(a,1),11914(a,1,2,2,2))]. 11918 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(121,a,11853,a)]. 11919 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(11782,a,11854,a)]. 11920 x * K(y,x \ (z \ ((z * x) * u))) = z \ ((z * x) * K(y,u)). [hyper(121,a,11915,a),flip(a)]. 11922 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(10136(a,2),11919(a,1,2))]. 11923 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * z) / (u * (y \ z))). [hyper(286,a,10377,a(flip),b,11738,a),flip(a)]. 11924 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(9477(a,1),11767(a,1,1))]. 11925 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(62,a,11172,a(flip),b,11912,a)]. 11926 K(x,(y * (z * u)) / (y * u)) = K(x,(y * u) / (y * (z \ u))). [hyper(62,a,10341,a(flip),b,11923,a)]. 11927 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(286,a,9762,a(flip),b,11924,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(8130,a,11927,a)]. 11929 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6955(a,1),11720(a,1,1,2)),flip(a)]. 11930 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(286,a,6864,a(flip),b,11929,a),flip(a)]. 11931 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1231(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),10338(a,2,2))]. 11933 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(286,a,6866,a,b,11932,a),flip(a)]. 11934 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(11142(a,1),11757(a,1,2))]. 11935 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(11934(a,1),110(a,1,1)),flip(a)]. 11936 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(11934(a,1),4845(a,1,2,2)),flip(a)]. 11937 K(x \ y,L((z * x) \ 1,x,z)) != u | K((z * y) / (z * x),(z * x) \ 1) = u. [para(4892(a,1),11794(a,1,2,1))]. 11938 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(11844,a,11849,a),flip(a)]. 11939 K((x \ y) \ y,L(z \ u,w,v5)) = K(x,L(T((u \ z) \ 1,y),w,v5)). [para(25(a,2),11851(a,2,2))]. 11940 T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(y \ x,z)))). [para(11894(a,1),8952(a,2,2))]. 11941 K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,T(L(z \ y,w,v5),u)). [hyper(7986,a,11939,a),flip(a)]. 11942 K(x,L(T((y \ z) \ 1,u),w,v5)) = K(x,L(T(z \ y,u),w,v5)). [para(25(a,2),11941(a,2,2))]. 11943 K(x \ 1,(y * z) \ u) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). [hyper(286,a,6458,a(flip),b,11842,a),flip(a)]. 11944 K(L(T(x,y),z,z \ y),z \ u) = K(x,((y / z) * u) / y). [hyper(286,a,6895,a(flip),b,11879,a),flip(a)]. 11945 K(T(x,y),L(z \ u,z,z \ y)) = K(x,((y / z) * u) / y). [hyper(11807,a,11944,a)]. 11946 K(x,T(L(y \ z,y,y \ u),u)) = K(x,((u / y) * z) / u). [hyper(7981,a,11945,a)]. 11947 K(x,L(T(y \ z,u),y,y \ u)) = K(x,((u / y) * z) / u). [para(25(a,2),11946(a,1,2))]. 11948 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(y \ z,u),y,y \ u) \ 1). [hyper(8520,a,11947,a),flip(a)]. 11949 K(x,L(T(T(y,z),u),z,z \ u)) = K(x,((u / z) * (y * z)) / u). [para(22(a,2),11947(a,1,2,1,1))]. 11950 K(x,L(T(y \ T(z,y),u),T(y,z),T(y,z) \ u)) = K(x,((u / T(y,z)) * z) / u). [para(3928(a,1),11947(a,1,2,1,1))]. 11951 K(x,L(T(T(y \ z,y),u),T(y,y \ z),T(y,y \ z) \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [para(3921(a,1),11947(a,1,2,1,1))]. 11952 K(x,L(T((y * z) \ u,z),y * z,(y * z) \ z)) = K(x,(R(y \ 1,y,z) * u) / z). [para(4900(a,2),11947(a,2,2,1,1))]. 11953 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10350(a,1),11938(a,1,2))]. 11954 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(62,a,11922,a(flip),b,11953,a)]. 11955 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(11844,a,11954,a),flip(a)]. 11956 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8058,a,11955,a)]. 11957 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(62,a,10274,a(flip),b,11956,a)]. 11958 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(286,a,10029,a(flip),b,11957,a),flip(a)]. 11960 K(x,K(y,a(z,x,u))) = 1. [para(203(a,1),11958(a,1,2,2,3))]. 11962 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11960(a,1),8035(a,1,2)),flip(a)]. 11963 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(286,a,8,a(flip),b,11962,a),flip(a)]. 11964 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8403,a,11896,a)]. 11966 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(286,a,8402,a(flip),b,11964,a),flip(a)]. 11967 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(480(a,2),11966(a,1,2,2))]. 11968 x * K(y,L(z,u * K(z,y),(u / K(y,z)) \ x)) = (x / (u / K(y,z))) * u. [para(6892(a,1),11860(a,1,2,2,2))]. 11969 x * K(y,L(z,u * K(z,y),(u * K(z,y)) \ x)) = (x / (u / K(y,z))) * u. [para(6892(a,1),11968(a,1,2,2,3,1))]. 11970 x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z / K(y,u))) * z. [para(11786(a,1),11969(a,1,2))]. 11971 x * K(L(y,z,(z * K(u,y)) \ x),u) = (x / (z * K(u,y))) * z. [para(6892(a,1),11970(a,2,1,2))]. 11973 x * K(y,L(z,u,(u * K(z,y)) \ x)) = (x / (u * K(z,y))) * u. [para(11780(a,1),11971(a,1,2))]. 11974 ((x * y) * K(z,u)) * K(u,L(z,y,(y * K(z,u)) \ ((x * y) * K(z,u)))) = R(x,y,K(z,u)) * y. [para(20(a,2),11973(a,2,1))]. 11975 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(5839(a,1),11759(a,1,2))]. 11976 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(11780(a,1),11975(a,1,2,1))]. 11977 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4675(a,1),11976(a,1,2))]. 11978 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11821(a,1),11977(a,1,2)),flip(a)]. 11979 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(62,a,11169,a(flip),b,11830,a),flip(a)]. 11980 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),11876(a,1,2))]. 11981 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7621,a,11980,a),flip(a)]. 11982 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11780(a,1),11981(a,2,1))]. 11983 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(286,a,11770,a(flip),b,11982,a),flip(a)]. 11984 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(302,a,11983,a)]. 11986 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(9(a,1),11984(a,1,3,1)),flip(a)]. 11987 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4776(a,1),11984(a,1,3)),flip(a)]. 11988 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4778(a,1),11984(a,1,3)),flip(a)]. 11989 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6155(a,1),11984(a,1,3))]. 11990 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10582(a,2),11984(a,1,3))]. 11991 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11986(a,2),11034(a,1,1))]. 11992 a(x,y,K(x * z,z)) = 1. [hyper(286,a,7663,a(flip),b,11987,a),flip(a)]. 11993 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(11987(a,1),11978(a,2,2,2))]. 11994 L(K(x * y,y),z,x) = K(x * y,y). [hyper(51,a,11992,a)]. 11995 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11994(a,1),7740(a,2,1))]. 11996 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11036,a,11991,a)]. 11997 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(10(a,1),11996(a,1,3,2)),flip(a)]. 11998 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(62,a,11988,a,b,11997,a)]. 11999 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(6773(a,1),11998(a,1,3)),flip(a)]. 12000 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(62,a,11989,a,b,11999,a)]. 12001 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6782(a,1),12000(a,1,3))]. 12002 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(9799(a,1),11995(a,1,2,2))]. 12003 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(7739,a,12002,a),flip(a)]. 12004 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(62,a,10929,a(flip),b,12003,a),flip(a)]. 12005 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(10928(a,1),12004(a,1,2)),flip(a)]. 12006 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(300,a,12005,a),flip(a)]. 12007 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(286,a,3930,a(flip),b,11935,a),flip(a)]. 12008 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7723(a,2),12007(a,2,1))]. 12009 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(286,a,11726,a(flip),b,11979,a),flip(a)]. 12010 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11803,a,12009,a)]. 12011 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(62,a,11169,a(flip),b,12010,a)]. 12012 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(62,a,11925,a(flip),b,12011,a)]. 12013 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(22(a,2),12012(a,2,1,2))]. 12014 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(62,a,10721,a(flip),b,12013,a)]. 12015 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(12014(a,1),5844(a,1,2,1)),flip(a)]. 12016 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(12014(a,1),11291(a,1,1,2,2))]. 12017 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(286,a,5844,a(flip),b,12015,a),flip(a)]. 12018 K(x,(R(y \ 1,y,z) * u) / z) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,11947,a(flip),b,11952,a),flip(a)]. 12019 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(286,a,5727,a(flip),b,11993,a),flip(a)]. 12020 K(x,((y * z) \ u) \ 1) * a(y,z,K(x \ 1,z \ (y \ u))) = K(x,(z \ (y \ u)) \ 1). [hyper(62,a,6462,a(flip),b,11943,a)]. 12021 K(x,y \ (z * u)) * a(z,u,K(x \ 1,u \ (z \ y))) = K(x,(u \ (z \ y)) \ 1). [para(6717(a,1),12020(a,1,1))]. 12022 K(x,y \ (z * u)) * a(z,u,K(x,(u \ (z \ y)) \ 1)) = K(x,(u \ (z \ y)) \ 1). [para(6458(a,1),12021(a,1,2,3))]. 12023 K(x,y \ (z * u)) * a(z,u,K(x,(z \ y) \ u)) = K(x,(u \ (z \ y)) \ 1). [para(6717(a,1),12022(a,1,2,3))]. 12024 T(x / y,K(z \ u,(w \ 1) \ (w \ u))) \ x = y * ((w \ u) \ (w \ T(u,K(z,y \ x)))). [para(8115(a,1),11940(a,2,2,2,2))]. 12025 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * ((z \ u) \ T(z \ u,K(z,y \ x))). [para(10903(a,2),12024(a,2,2,2))]. 12026 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z \ u,K(z,y \ x)). [para(4614(a,2),12025(a,2,2))]. 12027 T(x / y,K(z \ u,(z \ 1) \ (z \ u))) \ x = y * K(z,K(u,y \ x)). [para(8655(a,1),12026(a,2,2))]. 12028 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(y,K(z,x \ 1)). [hyper(8506,a,12027,a)]. 12029 T(x,K(y \ z,(y \ 1) \ (y \ z))) = x * K(x,K(y,z)). [para(8371(a,1),12028(a,2,2))]. 12030 T(x,K(y \ z,(y \ 1) \ (y \ z))) = T(x,K(y,z)). [hyper(4730,a,12029,a),flip(a)]. 12031 T(x,K(y \ z,1 \ (y * (y \ z)))) = T(x,K(y,z)). [para(9601(a,1),12030(a,1,2))]. 12032 T(x,K(y \ z,z)) = T(x,K(y,z)). [para(154(a,1),12031(a,1,2,2))]. 12033 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,12032,a),flip(a)]. 12034 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(8433,a,12033,a)]. 12035 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(62,a,8337,a,b,12033,a)]. 12036 T(x,K(y,y / z)) = T(x,K(z,y)). [para(76(a,1),12033(a,1,2,1)),flip(a)]. 12038 T(x,K(y \ z,y)) = T(x,K(y,z)). [hyper(8134,a,12034,a)]. 12039 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(62,a,11963,a(flip),b,12034,a),flip(a)]. 12040 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(62,a,9892,a(flip),b,12034,a),flip(a)]. 12041 T(x,K(y,y * z)) = T(x,K(y,z)). [para(9(a,1),12034(a,1,2,2)),flip(a)]. 12042 T(x,K(y,z / y)) = T(x,K(y,z)). [para(4788(a,1),12034(a,1,2))]. 12043 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(62,a,10169,a(flip),b,12036,a),flip(a)]. 12044 T(x,K(y,y * z)) = T(x,K(z,y)). [para(9(a,1),12038(a,1,2,1)),flip(a)]. 12045 T(x,K(y,z * y)) = T(x,K(z,y)). [para(4776(a,1),12038(a,1,2)),flip(a)]. 12046 T(x / (y / z),K(y / z,z)) = T(x,K(z,y)) / (y / z). [para(12038(a,1),10905(a,2,1))]. 12047 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(8291,a,12041,a),flip(a)]. 12048 T(x,K(y,y * T(x,z))) = x. [hyper(286,a,2792,a(flip),b,12041,a),flip(a)]. 12049 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(53,a,12048,a)]. 12050 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(62,a,10167,a(flip),b,12042,a),flip(a)]. 12051 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(12044(a,1),8127(a,1,1))]. 12052 (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). [hyper(115,a,12045,a(flip),b,8117,a(flip))]. 12053 T((x / y) \ z,K(y,x)) = T(z / (x / y),y \ x). [para(110(a,1),12040(a,1,1))]. 12054 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(12035(a,1),4702(a,1,1))]. 12055 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(7928(a,1),12054(a,1,1)),flip(a)]. 12056 T(x * K(y \ z,x),z / y) = T(x,K(y,z)). [hyper(6160,a,12055,a),flip(a)]. 12057 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(12039(a,1),108(a,1,2)),flip(a)]. 12058 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(12049(a,1),7903(a,2,1))]. 12059 T(x / (y / z),K(z \ y,z)) = T(x,K(z,y)) / (y / z). [para(4777(a,2),12046(a,1,2))]. 12060 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(62,a,12043,a(flip),b,12050,a),flip(a)]. 12061 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(62,a,9037,a,b,12060,a)]. 12062 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(73(a,1),12061(a,1,2,1,2)),flip(a)]. 12063 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(62,a,8487,a(flip),b,12062,a),flip(a)]. 12064 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(62,a,8466,a,b,12063,a)]. 12065 T(x,T(y * z,z)) = T(x,z * y). [hyper(62,a,11438,a(flip),b,12052,a),flip(a)]. 12066 T(x,y * (z / y)) = T(x,T(z,y)). [para(12(a,1),12065(a,1,2,1)),flip(a)]. 12067 x * (y * K(x,z * y)) = T(x,y * z) * y. [para(12065(a,1),8207(a,1,1)),flip(a)]. 12068 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(3662(a,2),12066(a,1,2)),flip(a)]. 12069 K(x,y * z) * y = y * K(x,z * y). [hyper(33,a,4638,a,b,12067,a)]. 12070 K(x,T(y * z,y)) = K(x,z * y). [hyper(7768,a,12069,a)]. 12071 K(T(x,y),z * y) = K(x,y * z). [hyper(34,a,8147,a,b,12069,a)]. 12072 K(x,T(y * z,z)) = K(x,z * y). [hyper(34,a,8146,a,b,12069,a)]. 12073 (x / y) * K(z,y * (x / y)) = K(z,x) * (x / y). [para(12(a,1),12069(a,1,1,2)),flip(a)]. 12075 K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). [hyper(8479,a,12070,a)]. 12076 K(x \ y,z * x) = K(y / x,x * z). [hyper(8250,a,12070,a),flip(a)]. 12077 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),12070(a,1,2,1)),flip(a)]. 12079 K(T(x,y),z * y) = 1 / K(y * z,x). [hyper(286,a,4794,a,b,12071,a),flip(a)]. 12080 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(62,a,9364,a(flip),b,12072,a)]. 12081 K(x,y * (z / y)) = K(x,T(z,y)). [para(12(a,1),12072(a,1,2,1)),flip(a)]. 12082 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4475(a,1),12077(a,1,2)),flip(a)]. 12083 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(8573(a,2),12081(a,1,2)),flip(a)]. 12084 K(1 / x,y * x) = K(1 / x,x * y). [hyper(6487,a,12076,a)]. 12085 K(x * y,T(z,y)) = K(y * x,z). [hyper(4808,a,12079,a)]. 12086 K(x * (y \ 1),T(z,y)) = K((y \ 1) * x,z). [hyper(8478,a,12085,a)]. 12087 K(x * y,T(z,x)) = K(y * x,z). [hyper(8223,a,12085,a),flip(a)]. 12088 K(x * y,z) * K(y,K(z,x * y)) = K(y * x,z). [hyper(62,a,7962,a,b,12085,a)]. 12090 K(x * (y / x),z) = K(y,T(z,x)). [para(12(a,1),12085(a,1,1)),flip(a)]. 12091 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [para(23(a,1),12085(a,1,2))]. 12092 K(x * y,z) * y = y * K(y * x,z). [para(12085(a,1),7736(a,1,2)),flip(a)]. 12093 K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). [para(8129(a,1),12085(a,1,2)),flip(a)]. 12094 K(x * y,z) * x = x * K(y * x,z). [para(12085(a,1),8146(a,1,1))]. 12095 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(12085(a,1),8223(a,1))]. 12096 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(8478,a,12087,a)]. 12099 K((x \ y) * x,z) = K(y,T(z,x)). [para(10(a,1),12087(a,1,1)),flip(a)]. 12100 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(12087(a,1),4667(a,2,1)),flip(a)]. 12102 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(12087(a,1),8223(a,1))]. 12103 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12087(a,1),10151(a,1,1))]. 12104 K(((x * y) \ z) * (y * x),u) = K(K(y,x) * z,T(u,y * x)). [para(11380(a,1),12087(a,1,1)),flip(a)]. 12105 K(x * (y / x),L(z \ 1,u,w)) = K(y,T(L(z,u,w) \ 1,x)). [hyper(11804,a,12090,a)]. 12106 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(6132(a,1),12090(a,1,1,2)),flip(a)]. 12107 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12099(a,1),4620(a,2,2))]. 12108 (1 / x) \ K(y,T(z,x)) = T(y,z) / (x \ y). [para(12099(a,1),7273(a,1,2))]. 12109 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(57,a,12084,a)]. 12110 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(286,a,7801,a(flip),b,12107,a),flip(a)]. 12112 T(x,T(y * z,y)) = T(x,z * y). [para(9(a,1),12110(a,1,2,1)),flip(a)]. 12114 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(62,a,12051,a,b,12112,a)]. 12115 T(x,T(y,z) * z) = T(x,z * y). [hyper(62,a,12068,a(flip),b,12112,a)]. 12117 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(286,a,4659,a(flip),b,12115,a),flip(a)]. 12118 K(T(x,y) * y,z) = z / T(z,y * x). [para(12115(a,1),4617(a,2,2))]. 12119 T(x,T((T(y,z) * z) \ u,z * y)) = T(x,u / (T(y,z) * z)). [para(12115(a,1),8318(a,1,2))]. 12120 K((T(x,y) * y) \ z,T(u,y * x)) != w | K(z / (T(x,y) * y),u) = w. [para(12115(a,1),8250(a,1,2))]. 12121 T(T(x,K(y,z)),(z \ 1) * y) = T(x,y * (z \ 1)). [para(8386(a,1),12114(a,1,1))]. 12122 K(x,T(y,z) * z) = K(x,z * y). [hyper(4727,a,12117,a)]. 12123 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(12117(a,2),4663(a,1))]. 12124 K(x,(T(y,z) * z) \ 1) = K(x \ 1,z * y). [hyper(6476,a,12122,a)]. 12125 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y) \ 1,y * x). [para(12122(a,1),10505(a,2,2))]. 12126 K(T(x,y) * y,z) = K(y * x,z). [hyper(286,a,4617,a,b,12118,a),flip(a)]. 12127 K(T(x,y) * y,z) != u | K(y * x,z) = u. [para(12118(a,2),4697(a,1))]. 12131 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5957(a,2),12095(a,1,1))]. 12132 K(((x * y) \ x) * z,T(u,y \ 1)) != w | K(z * ((x * y) \ x),u) = w. [para(6753(a,1),12095(a,1,2))]. 12134 K((T(x,y) * y) * z,T(u,y * x)) != w | K(z * (T(x,y) * y),u) = w. [para(12115(a,1),12095(a,1,2))]. 12135 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(12068(a,2),12123(a,1))]. 12136 K(T(T(x,y),z) * y,u) != w | K(y * T(x,z),u) = w. [para(23(a,1),12127(a,1,1,1))]. 12137 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(12051(a,2),12135(a,1))]. 12138 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z * (1 / (y / x))). [hyper(8251,a,12075,a)]. 12139 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,10381,a(flip),b,12080,a),flip(a)]. 12140 K(x \ y,T(x * z,u)) = K(y / x,T(z * x,u)). [hyper(7988,a,12082,a)]. 12141 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12082(a,1),4805(a,1))]. 12142 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(12082(a,1),8223(a,1))]. 12144 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8425(a,1),12142(a,1))]. 12146 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(400(a,1),12086(a,1,1))]. 12147 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1817(a,1),12096(a,1,1)),flip(a)]. 12148 T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). [para(12(a,1),12100(a,1,1,1)),flip(a)]. 12149 (1 / (1 / x)) \ K(y,T(z,x)) = T(y,z) / ((1 / x) \ y). [para(8427(a,1),12108(a,1,2))]. 12150 K(x,(T(y,z) * z) \ 1) != u | K(x,(z * y) \ 1) = u. [para(12124(a,2),6476(a,1))]. 12151 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8077(a,1),12137(a,1,1,2))]. 12152 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8149(a,1),12137(a,1,1,2))]. 12153 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8671(a,1),12137(a,1,1,2))]. 12154 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [hyper(62,a,8428,a(flip),b,12083,a),flip(a)]. 12155 K(x,(y \ 1) \ (y \ z)) = K(x,(z / y) / (y \ 1)). [para(7148(a,1),12154(a,1,2)),flip(a)]. 12156 K(x * y,z) * K(y,K(z,x)) = K(y * x,z). [para(8692(a,1),12088(a,1,2))]. 12157 K(x * y,z) * K(y,K(x,z)) = K(y * x,z). [para(8694(a,1),12088(a,1,2))]. 12158 K(x * y,z) * K(x,K(y,z)) = K(y * x,z). [para(8697(a,1),12088(a,1,2))]. 12159 K(x * y,z) * K(x,K(z,y)) = K(y * x,z). [para(8031(a,1),12156(a,1,2))]. 12160 K(x * T(x \ y,z),u) * K(x,K(T(y / x,z),u)) = K(x * T(y / x,z),u). [para(400(a,1),12157(a,1,1,1))]. 12161 K((x * y) * T(z,y),u) * K(z * y,K(R(x,y,z),u)) = K((z * y) * R(x,y,z),u). [para(11207(a,1),12157(a,1,1,1))]. 12162 x * K(y,K(z,u)) != K(z * y,u) | K(y * z,u) = x. [para(12158(a,1),43(a,1)),flip(a)]. 12163 K(L(x,y,z) * (z * y),u) * K(L(x,y,z),K(z * y,u)) = K(z * (y * x),u). [para(92(a,1),12158(a,2,1))]. 12164 (K(x,K(y,z)) \ 1) * K(z,x * y) = K(y * x,z) \ 1. [para(12158(a,1),6402(a,1,1)),flip(a)]. 12165 K((x * (y / x)) * z,u) * K(y,T(K(z,u),x)) = K(z * (x * (y / x)),u). [para(12090(a,1),12158(a,1,2))]. 12166 K(x * ((y \ 1) \ z),u) * K(x,K(u,y * z)) = K(((y \ 1) \ z) * x,u). [para(11099(a,1),12159(a,1,2))]. 12167 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(6149(a,1),12109(a,1,2)),flip(a)]. 12168 K(x,T((y \ 1) * z,K(z,y))) * T(x,K(z,y)) = T(x,z * (y \ 1)). [hyper(7921,a,12121,a)]. 12169 T(T(x,K((y \ 1) \ z,y)),z) = T(x,((y \ 1) \ z) * (y \ 1)). [para(10(a,1),12121(a,1,2))]. 12170 K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). [hyper(62,a,4459,a(flip),b,12148,a),flip(a)]. 12171 T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(115,a,12170,a,b,272,a)]. 12174 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(12058(a,2),7980(a,1))]. 12175 T(x / (y / z),K(z,y)) = T(x,K(z,y)) / (y / z). [hyper(62,a,12038,a(flip),b,12059,a)]. 12176 (1 / (1 / x)) \ K(y,T(z,x)) = K(y,z) / x. [hyper(286,a,7376,a(flip),b,12149,a),flip(a)]. 12177 x \ K(y,T(z,x)) = K(y,z) / x. [para(4884(a,1),12176(a,1,1))]. 12178 x * (K(y,z) / x) = K(y,T(z,x)). [hyper(131,a,12177,a)]. 12179 K(x,T(y,z)) / z = z \ K(x,y). [para(8149(a,1),12177(a,1,2)),flip(a)]. 12180 x \ K(x * y,z) = K(y * x,z) / x. [para(12085(a,1),12177(a,1,2))]. 12181 (x \ K(y,z)) * x = K(y,T(z,x)). [hyper(129,a,12179,a)]. 12182 T(K(x,y) / z,K(x,y)) = z \ K(x,y). [hyper(62,a,11146,a,b,12179,a)]. 12183 K(x,y) / T(z,K(x,y)) = z \ K(x,y). [hyper(62,a,7731,a(flip),b,12179,a)]. 12184 K(x,T(y,z)) / z != u | z \ K(x,y) = u. [para(12181(a,1),227(a,1,1)),flip(b)]. 12185 (x \ K(y,z)) \ (K(y,T(z,x)) * u) = (K(y,z) / x) \ (K(y,z) * u). [para(12181(a,1),11455(a,1,2,1))]. 12186 T(x,x \ K(y,z)) = T(x,K(y,z)). [hyper(35,a,240,a,b,12183,a)]. 12187 T(x,x \ K(y,z)) = T(x,K(z,y)). [hyper(286,a,8115,a,b,12186,a),flip(a)]. 12188 (K(x,K(y,z)) \ 1) * K(z,x * y) = K(z,y * x). [hyper(286,a,4781,a(flip),b,12164,a),flip(a)]. 12189 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [para(7942(a,1),12188(a,1,1))]. 12190 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(8040(a,1),12188(a,1,1))]. 12191 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(8077(a,1),12189(a,1,1))]. 12192 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(8342,a,12190,a)]. 12193 K(x,K(y,z * u)) * K(x,y * (u \ (z \ 1))) = K(x,(u \ (z \ 1)) * y). [para(11103(a,1),12190(a,1,1))]. 12194 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [para(8077(a,1),12192(a,1,2))]. 12195 K(x,T(L(y \ 1,z,u),w)) = K(x,T(L(y,z,u) \ 1,w)). [hyper(62,a,12090,a(flip),b,12105,a)]. 12196 K(x,L(T(y \ 1,z),u,w)) = K(x,T(L(y,u,w) \ 1,z)). [para(25(a,2),12195(a,1,2))]. 12197 K(L(x \ 1,y,z),T(u,w)) = K(x,L(T(u \ 1,w),y,z)). [hyper(286,a,11911,a,b,12196,a)]. 12198 K(x \ 1,L(T(y,z),u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11807,a,12197,a)]. 12199 K(x,L(T(y \ 1,z),u,w)) = K(x,L(T(y,z),u,w) \ 1). [hyper(6476,a,12198,a),flip(a)]. 12200 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,((z \ 1) \ y) * (z \ 1)). [hyper(8126,a,12169,a)]. 12201 T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z \ 1)). [hyper(286,a,12110,a(flip),b,12200,a),flip(a)]. 12203 T(T(x,y),K(z,(z \ 1) \ y)) != u | T(x,T(y,z)) = u. [para(12201(a,2),8424(a,1))]. 12204 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(6149(a,1),12167(a,1,2))]. 12205 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(12204(a,1),43(a,2))]. 12206 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,z * (y \ 1)). [para(8412(a,1),12168(a,1,1,2))]. 12207 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(62,a,11053,a(flip),b,12171,a)]. 12208 K(((x * y) \ x) * z,T(u,y)) != w | K(z * ((x * y) \ x),u) = w. [para(8423(a,1),12132(a,1))]. 12209 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),(y * x) \ 1). [para(6458(a,1),12125(a,2,2))]. 12210 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(824(a,1),12146(a,1,1))]. 12211 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7996,a,12210,a),flip(a)]. 12213 K(L(x,y,z) * (z * y),u) * K(u,K(z * y,L(x,y,z))) = K(z * (y * x),u). [para(8031(a,1),12163(a,1,2))]. 12214 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(64(a,1),12147(a,2,1,2,2,1,2))]. 12215 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),12214(a,2,1,2))]. 12216 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12215(a,2),8250(a,1))]. 12217 ((x * y) * K(z,u)) * K(u,L(z,y,R(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(588(a,1),11974(a,1,2,2,3))]. 12218 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T((y \ z) \ 1,u),y,y \ u)). [hyper(286,a,12199,a,b,11948,a),flip(a)]. 12219 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(12017(a,1),12016(a,1,2,1,1))]. 12220 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(62,a,11291,a(flip),b,12219,a),flip(a)]. 12221 K(x \ K(L(T(y \ z,u),y,y \ u),w),((u / y) * z) / u) = K(x,L(T(z \ y,u),y,y \ u)). [hyper(286,a,11942,a(flip),b,12218,a),flip(a)]. 12222 K(x,L(T(y \ z,u),z,z \ u)) = K(x,(((u / z) * y) / u) \ 1). [hyper(9024,a,12221,a),flip(a)]. 12223 K(x,L(T(y \ z,u),z,z \ u)) = K(x,u / ((u / z) * y)). [hyper(286,a,5964,a(flip),b,12222,a),flip(a)]. 12224 K(x,L(T(y \ z,u),(y \ z) \ z,z \ u)) = K(x,u / ((u / z) * y)). [hyper(11873,a,12223,a)]. 12225 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(210(a,1),9640(a,1,1)),flip(a)]. 12226 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(8115(a,1),12225(a,2,1,1))]. 12227 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(286,a,25,a,b,12226,a),flip(a)]. 12228 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(9160,a,12227,a),flip(a)]. 12229 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(10427,a,12228,a)]. 12231 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5979,a,12229,a)]. 12233 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(8115(a,1),12229(a,1,1))]. 12234 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(286,a,4659,a(flip),b,12231,a)]. 12235 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(62,a,11562,a,b,12231,a)]. 12236 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(62,a,9921,a,b,12231,a)]. 12237 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,12229,a(flip),b,12231,a)]. 12238 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(2093(a,1),12231(a,2,2))]. 12239 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(2093(a,1),12233(a,2,2))]. 12240 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(9845(a,1),12233(a,1,1,2)),flip(a)]. 12241 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12233(a,1),10479(a,2,1))]. 12242 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5988,a,12237,a),flip(a)]. 12243 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4749,a,12237,a)]. 12245 (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(12237(a,1),8544(a,1,2))]. 12246 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12238(a,1),11055(a,1,1))]. 12247 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12234(a,1),4663(a,1))]. 12248 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2093(a,2),12235(a,1,2,1))]. 12249 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12242(a,1),6160(a,1,1))]. 12250 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(33,a,12235,a,b,12243,a)]. 12251 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2093(a,2),12250(a,1,1))]. 12252 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2093(a,1),12251(a,2,2))]. 12253 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(33,a,4659,a(flip),b,12248,a),flip(a)]. 12254 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12248(a,1),12242(a,1,1))]. 12255 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(62,a,12252,a(flip),b,12253,a),flip(a)]. 12256 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12253(a,1),4659(a,2,2)),flip(a)]. 12257 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(23(a,1),12247(a,1))]. 12259 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4684,a,12246,a),flip(a)]. 12261 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(286,a,12250,a(flip),b,12259,a),flip(a)]. 12262 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(7411(a,1),12259(a,1,2,2)),flip(a)]. 12263 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(286,a,12253,a,b,12261,a),flip(a)]. 12264 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(62,a,11153,a,b,12261,a),flip(a)]. 12265 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,11022,a,b,12261,a)]. 12266 (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(12261(a,2),4766(a,2,2)),flip(a)]. 12267 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(8924(a,1),12261(a,1,1))]. 12268 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(62,a,12239,a(flip),b,12236,a),flip(a)]. 12269 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(286,a,4603,a,b,12241,a),flip(a)]. 12270 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5839(a,1),12269(a,1,2))]. 12271 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(286,a,11132,a(flip),b,12264,a),flip(a)]. 12272 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2093(a,1),12271(a,1,2))]. 12273 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),12272(a,1,2,2,2,3))]. 12274 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12249,a,12268,a)]. 12275 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(286,a,4659,a(flip),b,12274,a)]. 12276 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(9920(a,1),12240(a,2,1))]. 12277 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4831,a,12256,a)]. 12278 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11557(a,1),12277(a,1,1))]. 12279 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,4659,a(flip),b,12275,a)]. 12280 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(286,a,12229,a(flip),b,12276,a),flip(a)]. 12281 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9845(a,1),12280(a,1,2,2))]. 12282 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(286,a,12237,a,b,12281,a)]. 12283 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(8056(a,1),12265(a,1,2,2,2))]. 12284 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8924(a,1),12267(a,1,2)),flip(a)]. 12285 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(286,a,12261,a(flip),b,12284,a),flip(a)]. 12286 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12284(a,1),8823(a,1))]. 12288 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7827(a,1),12285(a,1,1)),flip(a)]. 12289 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(62,a,12255,a(flip),b,12288,a)]. 12291 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(12289(a,1),11666(a,2,2))]. 12292 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12259(a,1),12286(a,1))]. 12293 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12263(a,1),12286(a,1))]. 12294 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12270(a,2),12293(a,1))]. 12295 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(6026,a,12283,a)]. 12296 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8056(a,1),12295(a,1,1))]. 12297 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(9100(a,1),12262(a,2,2))]. 12298 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(286,a,12259,a(flip),b,12297,a),flip(a)]. 12299 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(7411(a,1),12298(a,1,1,2))]. 12300 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(286,a,10910,a(flip),b,12291,a),flip(a)]. 12302 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(10017(a,1),10019(a,1,2,1,1)),flip(a)]. 12303 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(286,a,3403,a(flip),b,12302,a),flip(a)]. 12305 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1821(a,1),12303(a,2,1))]. 12306 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1821(a,1),12305(a,1,1))]. 12307 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(12306(a,1),11769(a,1,2,2))]. 12308 R(a(x,y,y \ 1),T(z,a(x,y,y \ 1)),u) = (z * u) \ ((z * a(x,y,y \ 1)) * u). [para(10754(a,1),10767(a,1,1,1)),flip(a)]. 12309 (x * y) \ ((x * a(z,u,u \ 1)) * y) = R(a(z,u,u \ 1),x,y). [para(10754(a,1),12308(a,1,2)),flip(a)]. 12310 (x * y) * R(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. [hyper(131,a,12309,a)]. 12311 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),11151(a,1,2,2,2)),flip(a)]. 12312 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),11613(a,2,1,1))]. 12313 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(286,a,10032,a(flip),b,12312,a),flip(a)]. 12315 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),12313(a,1,1,1))]. 12316 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),12315(a,1,2,2))]. 12317 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6249(a,1),12316(a,1,2,1,3))]. 12318 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (T(u,w) \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [para(7162(a,2),11880(a,2,1))]. 12319 (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(10166(a,1),11882(a,1,2))]. 12320 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(4050(a,1),12319(a,1,2)),flip(a)]. 12321 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),12320(a,2,2))]. 12322 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(286,a,7905,a(flip),b,12321,a),flip(a)]. 12323 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(11780(a,1),12322(a,2,1))]. 12324 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(286,a,7669,a(flip),b,12323,a),flip(a)]. 12325 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7721(a,1),12324(a,1,2,3))]. 12326 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3945(a,1),12325(a,1,2,3))]. 12327 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,12019,a,b,12326,a)]. 12328 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11732(a,1),12327(a,1,1))]. 12329 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2786(a,1),12328(a,1,2)),flip(a)]. 12330 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(286,a,5839,a(flip),b,12329,a),flip(a)]. 12331 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11780(a,1),12330(a,2,1))]. 12332 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(286,a,4667,a,b,12331,a),flip(a)]. 12333 x * ((y * ((x * y) \ 1)) * K(z,a(y,y \ 1,x \ 1))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(6398(a,1),11916(a,1,2,1))]. 12334 T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * (L(x \ 1,y,y \ 1) * 1). [para(10763(a,1),11917(a,1,2,2)),flip(a)]. 12335 T((x * L(x \ 1,y,y \ 1)) \ 1,z) \ 1 = x * L(x \ 1,y,y \ 1). [para(8(a,1),12334(a,2,2))]. 12337 T(R(x,y \ 1,y) * (x \ 1),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(6679(a,1),12335(a,1,1,1))]. 12338 T(x \ R(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(1045(a,1),12337(a,1,1,1))]. 12339 T(a(x,y \ 1,y),z) \ 1 = x * L(x \ 1,y,y \ 1). [para(3501(a,1),12338(a,1,1,1))]. 12340 x * L(x \ 1,y,y \ 1) = a(x,y \ 1,y) \ 1. [para(107(a,1),12339(a,1,1)),flip(a)]. 12341 a(x * y,y \ 1,y) \ 1 = x * (y * ((y \ 1) * (x \ 1))). [hyper(62,a,5921,a(flip),b,12340,a),flip(a)]. 12342 a(x * y,y \ 1,y) \ 1 = x * (y * ((x * y) \ 1)). [para(6394(a,1),12341(a,2,2,2))]. 12343 (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(4348(a,1),4440(a,1,1,2))]. 12347 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [hyper(286,a,6272,a(flip),b,5984,a),flip(a)]. 12348 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(4636(a,1),12347(a,1,1))]. 12349 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(7798(a,1),12348(a,1,1,2))]. 12350 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(6717(a,1),12349(a,2,2))]. 12351 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(4885(a,2),12350(a,2,2,2,1))]. 12352 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [hyper(129,a,12351,a)]. 12353 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(34,a,6233,a(flip),b,12352,a),flip(a)]. 12354 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(121,a,12353,a)]. 12355 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(8113(a,1),12354(a,1,2,2))]. 12356 (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(5839(a,1),6579(a,1,1,2))]. 12357 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(8032(a,1),9873(a,2,1))]. 12358 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,10468,a(flip),b,10363,a)]. 12359 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11542,a,12358,a)]. 12362 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10405(a,1),12359(a,2,2,2))]. 12363 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),12362(a,2,2,2,1))]. 12364 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),12363(a,2,2))]. 12366 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(286,a,10455,a(flip),b,12364,a),flip(a)]. 12367 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(62,a,11543,a(flip),b,12366,a),flip(a)]. 12368 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(12366(a,1),4268(a,1))]. 12370 (x * (T(y,z) * T(u,y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(6864(a,1),10635(a,1,1,2))]. 12371 (x * (K(y,z) * (u * y))) / T(T(y,z) * K(u,y),u) = (x * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y)). [para(5717(a,2),12370(a,1,1,2))]. 12372 (x * (T(y,z) * T(z,u))) / (T(z,u) * K(y,z)) = (x * (K(z,u) * (y * z))) / T(z,T(u,y)). [para(9417(a,1),12371(a,1,2)),flip(a)]. 12373 L(a(R(x,y,z),u,R(x,y,z)),y * z,R(x,y,z)) = ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z). [para(470(a,1),11003(a,1,2)),flip(a)]. 12374 ((x * y) * z) \ ((R(x,u,R(x,y,z)) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(11004,a,12373,a),flip(a)]. 12375 ((x * y) * z) \ ((R(x,u,x) * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11695(a,1),12374(a,1,2))]. 12376 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [hyper(62,a,11026,a(flip),b,12375,a)]. 12377 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(9836(a,1),11292(a,1,2,1,1))]. 12378 ((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(62,a,4419,a(flip),b,12343,a)]. 12382 ((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(4807(a,1),12356(a,1,1))]. 12383 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(286,a,8626,a(flip),b,12357,a),flip(a)]. 12384 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(62,a,11291,a(flip),b,12377,a),flip(a)]. 12385 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(10124,a,12384,a),flip(a)]. 12386 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(8246,a,12385,a)]. 12387 K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). [hyper(9735,a,12386,a)]. 12388 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(12387(a,2),10597(a,1,1))]. 12389 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(62,a,10596,a(flip),b,12388,a)]. 12390 K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). [hyper(11374,a,12389,a)]. 12391 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(286,a,7456,a(flip),b,12390,a),flip(a)]. 12392 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(20(a,2),12391(a,1,2,1)),flip(a)]. 12393 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(485(a,1),12392(a,2,2,1))]. 12394 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5961(a,1),12392(a,1,1)),flip(a)]. 12395 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6773(a,1),12392(a,1,1)),flip(a)]. 12396 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11487(a,2),12392(a,1,1))]. 12397 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(8618,a,12394,a)]. 12398 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(12395(a,1),12396(a,1,1)),flip(a)]. 12399 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(4885(a,2),12393(a,1,1,2,1,1))]. 12400 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4536,a,12378,a),flip(a)]. 12404 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3503,a,12400,a),flip(a)]. 12407 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1356(a,1),12404(a,1,3)),flip(a)]. 12408 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2646(a,1),12404(a,1,3)),flip(a)]. 12409 a(x,y,K(z,z \ 1) * u) = (a(x,y,u) * K(w,v5)) * K(v5,w). [hyper(286,a,6883,a,b,12408,a),flip(a)]. 12410 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(62,a,4537,a,b,12408,a)]. 12412 a(x,y,K(z,z \ 1) * u) != w | a(x,y,u) = w. [para(12409(a,2),2676(a,1))]. 12414 a(x,y,(z \ 1) \ 1) != u | a(x,y,z) = u. [para(1402(a,1),12412(a,1,3))]. 12415 a(x \ 1,y \ 1,y) != z | a(y \ 1,y,x) = z. [para(6528(a,1),12414(a,1))]. 12418 a(R(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,L(x \ 1,y,z)) = w. [para(6671(a,2),12415(a,1,1))]. 12419 a(L(x,y \ 1,z \ 1),u \ 1,u) != w | a(u \ 1,u,R(x \ 1,y,z)) = w. [para(6686(a,2),12415(a,1,1))]. 12420 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2140(a,1),12410(a,1,1,1,2,2))]. 12422 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(w,w \ 1) = a(x,y,z). [para(4880(a,1),12420(a,1,1,1,2,2,2))]. 12423 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3966(a,1),3891(a,1,1,2)),flip(a)]. 12424 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(286,a,1707,a(flip),b,12423,a),flip(a)]. 12425 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3887(a,1),12424(a,1,3))]. 12426 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(12425(a,1),3585(a,1,1,1))]. 12427 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(12425(a,1),12426(a,1,2))]. 12428 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(315,a,12427,a)]. 12429 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(62,a,4421,a,b,12428,a)]. 12430 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(12429(a,1),201(a,1,2))]. 12431 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(12430(a,1),12103(a,1,1,1))]. 12432 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(76(a,1),3900(a,1,1,2))]. 12433 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),12432(a,1,1))]. 12434 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3004(a,1),12433(a,1,1))]. 12435 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(76(a,1),12434(a,1,2,2,2))]. 12436 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),12435(a,1,2,2))]. 12437 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3004(a,1),12436(a,1,2,2))]. 12438 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),12437(a,1,2))]. 12440 (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). [para(12438(a,1),4277(a,1,1))]. 12441 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(175,a,12440,a(flip))]. 12442 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(62,a,3010,a(flip),b,12441,a)]. 12443 L(x \ (y * z),x,K(y * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(8839(a,1),6389(a,1,3))]. 12445 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,R(x \ 1,z,u)). [hyper(62,a,6452,a(flip),b,7179,a),flip(a)]. 12446 (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(8071(a,1),8721(a,1,1,2))]. 12447 (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(5839(a,1),9854(a,1,1,2,2))]. 12448 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(6928(a,1),9996(a,1,1)),flip(a)]. 12449 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(6078,a,12448,a(flip)),flip(a)]. 12451 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(286,a,4675,a(flip),b,12449,a),flip(a)]. 12452 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6928(a,1),12451(a,1,2))]. 12453 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(62,a,8784,a(flip),b,12452,a)]. 12455 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(286,a,11821,a(flip),b,12453,a),flip(a)]. 12456 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12455(a,1),4702(a,1,1))]. 12457 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12455(a,1),4822(a,1,1))]. 12458 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(286,a,12332,a(flip),b,12457,a),flip(a)]. 12459 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(9097(a,1),11580(a,1,1,1,2))]. 12460 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(8280(a,1),12446(a,1,1)),flip(a)]. 12461 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(7723(a,2),12460(a,2,2))]. 12462 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(286,a,7818,a(flip),b,12461,a),flip(a)]. 12463 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(8077(a,1),12462(a,1,1))]. 12464 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(6839,a,12463,a)]. 12466 (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(5733(a,1),12447(a,1,1,2))]. 12467 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10540(a,1),12466(a,1,2))]. 12468 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9768(a,1),12467(a,1,2))]. 12470 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5839(a,1),12468(a,2,2,1,1))]. 12471 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8118(a,1),12470(a,2,2,1))]. 12472 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(10901(a,2),12471(a,2,2))]. 12473 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),12472(a,2,2,1))]. 12474 ((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(12473(a,1),6331(a,1,1,2))]. 12475 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(12296(a,1),12459(a,1,1,1))]. 12476 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),7262(a,2,2,1,2))]. 12477 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(286,a,214,a(flip),b,12476,a),flip(a)]. 12478 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(214(a,1),12477(a,1,2))]. 12479 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5839(a,1),12478(a,1,2,2))]. 12480 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(286,a,3403,a(flip),b,12479,a),flip(a)]. 12481 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)). [para(1390(a,1),10033(a,1,1)),flip(a)]. 12483 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8751,a,12481,a),flip(a)]. 12485 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(131,a,12483,a)]. 12486 (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(12485(a,1),12382(a,1,1))]. 12487 (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(6578(a,1),12486(a,1,2))]. 12488 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1077,a,12487,a)]. 12489 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(286,a,5839,a(flip),b,12488,a),flip(a)]. 12490 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,9035,a,b,12489,a)]. 12491 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2845,a,12490,a),flip(a)]. 12492 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(8261,a,12491,a),flip(a)]. 12494 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(8249,a,12492,a),flip(a)]. 12496 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(12494(a,1),10503(a,1,1))]. 12497 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(5747,a,12496,a)]. 12498 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10495(a,1),12496(a,1,2,2))]. 12499 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12497(a,1),10463(a,1))]. 12500 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10461(a,1),12498(a,1,2))]. 12501 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5853,a,12500,a),flip(a)]. 12502 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12499,a,12501,a)]. 12504 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12502(a,1),10474(a,1,1)),flip(a)]. 12505 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [hyper(4906,a,12504,a)]. 12506 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(47,a,12504,a)]. 12508 (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(286,a,9909,a,b,12506,a)]. 12510 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12505(a,1),4907(a,1))]. 12511 (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(10687(a,1),12508(a,1,1,2))]. 12512 (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(582(a,1),12511(a,1,1))]. 12513 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(215(a,1),12512(a,1,2)),flip(a)]. 12514 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(286,a,1155,a(flip),b,12513,a),flip(a)]. 12515 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),12514(a,2,3))]. 12516 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(12510,a,12515,a)]. 12517 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(62,a,12502,a(flip),b,12516,a)]. 12519 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(62,a,12367,a(flip),b,12517,a),flip(a)]. 12521 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,11632,a,b,12519,a)]. 12522 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(10028,a,12521,a)]. 12524 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12522(a,1),11592(a,1,2)),flip(a)]. 12525 (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),12524(a,2,2,2))]. 12526 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10488(a,1),12525(a,2,2))]. 12527 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,11705,a(flip),b,12526,a)]. 12528 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(334(a,1),12527(a,1,2,3))]. 12529 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10950,a,12528,a)]. 12530 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(62,a,12376,a,b,12529,a)]. 12531 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(62,a,12522,a(flip),b,12529,a),flip(a)]. 12532 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(10(a,1),12530(a,1,2)),flip(a)]. 12533 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12532(a,1),10459(a,1,2)),flip(a)]. 12534 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12532(a,1),10467(a,1,2)),flip(a)]. 12535 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,10495,a(flip),b,12533,a),flip(a)]. 12536 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12531(a,1),10490(a,1,1))]. 12537 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(62,a,12057,a(flip),b,12536,a)]. 12538 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10061(a,1),12535(a,1,2,1)),flip(a)]. 12539 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(286,a,12534,a,b,12538,a),flip(a)]. 12541 (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(12539(a,1),11696(a,2,1,1))]. 12542 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = L(R(z,u,L(z,y,x)),y,x) * T(x * y,L(z,y,x)). [hyper(62,a,10981,a(flip),b,11533,a)]. 12543 (x * (y * z)) * (L(z,y,x) \ R(L(z,y,x),u,L(z,y,x))) = x * (y * R(z,u,L(z,y,x))). [hyper(10449,a,12542,a(flip)),flip(a)]. 12544 (x * (y * z)) * a(L(z,y,x),u,L(z,y,x)) = x * (y * R(z,u,L(z,y,x))). [para(9175(a,1),12543(a,1,2))]. 12545 (x * y) * a(L(z,y / z,x),u,L(z,y / z,x)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12(a,1),12544(a,1,1,2))]. 12546 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(6646(a,1),9014(a,1,1,1))]. 12547 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3927(a,1),12546(a,1,1)),flip(a)]. 12548 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(286,a,11224,a(flip),b,12547,a),flip(a)]. 12550 (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(286,a,470,a(flip),b,10737,a),flip(a)]. 12551 (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,1826,a(flip),b,12550,a)]. 12552 (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(5847(a,1),12551(a,1,1,2,1))]. 12553 (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(6158(a,1),12552(a,1,1,2,1))]. 12554 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8184(a,1),12553(a,1,1,2,1)),flip(a)]. 12555 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(62,a,4094,a(flip),b,12554,a),flip(a)]. 12557 (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(12555(a,1),1133(a,2,1,2)),flip(a)]. 12558 (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(5839(a,1),12557(a,1,1))]. 12559 (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(10383(a,1),12558(a,1,1))]. 12560 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(258,a,12559,a),flip(a)]. 12563 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(62,a,7397,a(flip),b,12560,a)]. 12564 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(286,a,7830,a,b,12563,a),flip(a)]. 12565 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(62,a,8890,a(flip),b,12564,a),flip(a)]. 12567 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(286,a,11184,a(flip),b,12565,a),flip(a)]. 12568 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(8459,a,12567,a)]. 12570 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(4781(a,1),12480(a,2,1,2,1))]. 12571 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(10236(a,1),12570(a,2,1))]. 12572 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(9490(a,1),12571(a,1,2,2,2,1))]. 12573 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,12479,a(flip),b,12572,a)]. 12574 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(62,a,11265,a(flip),b,12573,a)]. 12575 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6820(a,1),12574(a,1,3)),flip(a)]. 12576 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11732(a,1),12574(a,1,3))]. 12577 x * L(a(y,z,K(u,w)),u,v5) = x * a(y,z,K(u,w)). [hyper(57,a,12575,a)]. 12578 a(x,y,a(z,u,K(y,w))) = 1. [hyper(52,a,12575,a)]. 12579 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(12575(a,1),92(a,1,2))]. 12581 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8155(a,1),12578(a,1,3,3))]. 12582 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(12576(a,2),92(a,1,2))]. 12583 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * (T(x,y) * a(z,u,K(w,v5))). [para(12576(a,2),437(a,1,2))]. 12584 x * L(a(y,z,K(u,w)),T(u,v5),v5) = x * a(y,z,K(u,w)). [para(11390(a,2),12577(a,1,2))]. 12585 x * a(y,z,K(u,L(w,T(u,v5),v5))) = x * a(y,z,K(u,w)). [para(12576(a,2),12584(a,1,2))]. 12586 (x * y) * z != x * (y * a(u,w,K(v5,v6))) | a(u,w,K(v5,L(v6,y,x))) = z. [para(12582(a,1),42(a,1)),flip(a)]. 12587 (x * y) * a(z,u,K(x,w)) = x * (y * a(z,u,K(x,w))). [para(9518(a,1),12582(a,1,2,3))]. 12588 K(x,(T(y,z * a(u,w,K(v5,v6))) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). [para(12582(a,2),12122(a,1,2))]. 12589 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(4781(a,1),7102(a,1,1,1,2,1))]. 12590 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(9762(a,1),12589(a,1,1,1))]. 12591 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(11595(a,1),12590(a,1,1))]. 12592 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(10236(a,1),12591(a,1,1,2))]. 12593 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(4781(a,1),12592(a,1,3,1))]. 12594 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(9483,a,12593,a),flip(a)]. 12596 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4794(a,1),12594(a,1,2,1))]. 12597 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4794(a,1),12596(a,1,2,2,1))]. 12598 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10240(a,1),12597(a,1,2))]. 12599 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(175,a,12598,a)]. 12600 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(12598(a,1),394(a,1,1))]. 12601 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(12599(a,1),258(a,1,2))]. 12602 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(9151(a,1),9156(a,1,1,2,1,1)),flip(a)]. 12603 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),12602(a,2,1,2,1))]. 12605 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9151(a,1),12603(a,1,1)),flip(a)]. 12606 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2096(a,1),12605(a,2,2))]. 12607 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(62,a,10170,a,b,12606,a)]. 12608 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(228,a,12607,a),flip(a)]. 12609 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(3090(a,1),9923(a,2,1,2))]. 12610 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(621(a,1),12609(a,1,1,2,2))]. 12611 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(4883(a,1),12610(a,1,1,2,1,1)),flip(a)]. 12612 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(8032(a,1),11899(a,1,2,1,2))]. 12613 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(8378(a,1),12612(a,1,2,1,2))]. 12614 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(8066(a,1),12613(a,1,2,1,2))]. 12615 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(8669(a,1),12614(a,1,2,1,2))]. 12616 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(4735(a,2),12615(a,1,2,1))]. 12617 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(6220,a,12616,a)]. 12618 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(8374(a,1),12617(a,1,1)),flip(a)]. 12619 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(1328(a,1),12618(a,2,2))]. 12620 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(286,a,8101,a(flip),b,12619,a),flip(a)]. 12621 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(9(a,1),9960(a,1,1,1)),flip(a)]. 12622 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(286,a,7754,a(flip),b,12621,a),flip(a)]. 12624 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(9406,a,12622,a(flip)),flip(a)]. 12625 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7981,a,12624,a)]. 12626 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(62,a,10122,a(flip),b,12625,a)]. 12627 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9446,a,12626,a)]. 12628 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8971,a,12627,a),flip(a)]. 12630 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(62,a,7500,a(flip),b,12628,a)]. 12631 K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). [hyper(8351,a,12630,a)]. 12632 K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). [hyper(286,a,9089,a,b,12631,a),flip(a)]. 12633 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(286,a,11649,a,b,12632,a)]. 12634 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(20(a,2),12633(a,2,2,1))]. 12635 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(62,a,9884,a(flip),b,12634,a),flip(a)]. 12637 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(5839(a,1),10269(a,1,1,1))]. 12638 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(11575(a,1),12637(a,1,1))]. 12639 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6980,a,12638,a)]. 12641 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,12299,a(flip),b,12639,a)]. 12642 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(12294,a,12641,a),flip(a)]. 12643 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(286,a,12279,a(flip),b,12642,a),flip(a)]. 12644 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(286,a,12273,a(flip),b,12643,a),flip(a)]. 12645 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6980,a,12644,a)]. 12647 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12645(a,1),4770(a,1,1))]. 12648 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11576(a,1),12647(a,1,2))]. 12649 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(118,a,12648,a)]. 12650 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8076(a,1),12648(a,1,2,1))]. 12651 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5851,a,12649,a)]. 12652 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(7383(a,1),12649(a,1,2))]. 12653 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12649(a,1),7471(a,1,1)),flip(a)]. 12654 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9878(a,1),12649(a,1,2))]. 12655 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(12649(a,1),9121(a,2,2))]. 12656 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12649(a,1),12282(a,2,2))]. 12657 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12649(a,1),12299(a,1,1)),flip(a)]. 12658 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12649(a,1),12608(a,1,1,2))]. 12659 (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(12651(a,1),11242(a,1,1)),flip(a)]. 12660 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5851,a,12653,a)]. 12661 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(62,a,8788,a,b,12655,a)]. 12662 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12292,a,12657,a)]. 12665 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12657(a,1),12292(a,1))]. 12666 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12649(a,1),12658(a,1,2))]. 12667 (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,12666,a)]. 12668 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(62,a,10975,a(flip),b,12660,a)]. 12669 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(12662(a,1),12475(a,1,1,1))]. 12670 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9096(a,1),12650(a,1,2,2))]. 12671 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12296(a,1),12670(a,1,2))]. 12672 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9315(a,1),12668(a,1,2))]. 12673 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5938,a,12672,a)]. 12674 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(286,a,10283,a,b,12673,a),flip(a)]. 12675 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(286,a,12661,a(flip),b,12659,a),flip(a)]. 12676 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(351(a,1),12669(a,1,1)),flip(a)]. 12677 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(286,a,9317,a(flip),b,12676,a),flip(a)]. 12678 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8032(a,1),12677(a,1,2,1,1))]. 12679 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9097(a,1),12678(a,1,2,1))]. 12680 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4667(a,2),12679(a,1,2))]. 12681 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,11048,a,b,12680,a)]. 12682 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8062(a,1),12681(a,1,1))]. 12683 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12257,a,12682,a)]. 12684 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(62,a,12656,a(flip),b,12683,a),flip(a)]. 12685 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(33,a,4659,a(flip),b,12684,a),flip(a)]. 12686 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12665,a,12685,a)]. 12687 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12686(a,1),12671(a,1,2))]. 12688 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(118,a,12687,a),flip(a)]. 12689 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(286,a,12685,a,b,12688,a),flip(a)]. 12690 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8056(a,1),12688(a,1,1))]. 12691 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8056(a,1),12689(a,1,1))]. 12692 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(5696(a,1),5945(a,1,1))]. 12693 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(5696(a,1),12692(a,1,2,1,1)),flip(a)]. 12694 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(4781(a,1),12693(a,2,2,1))]. 12695 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(7383(a,1),12694(a,2,2))]. 12696 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(4615(a,1),12695(a,1,1,1)),flip(a)]. 12697 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(7383(a,1),12696(a,2,1,2))]. 12698 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,12652,a(flip),b,12697,a),flip(a)]. 12699 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(4786(a,1),11163(a,1,2)),flip(a)]. 12700 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(173(a,1),11936(a,2,2))]. 12701 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(286,a,4652,a,b,12700,a),flip(a)]. 12703 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(286,a,8060,a,b,12701,a),flip(a)]. 12704 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(12008(a,1),12703(a,1,2))]. 12705 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(11765,a,12704,a)]. 12706 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(8058,a,12705,a)]. 12707 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(62,a,7825,a(flip),b,12706,a)]. 12709 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4787(a,1),12707(a,1,2))]. 12710 K(x,K(y * z,y * (z * u))) = K(x,K(u,y * z)). [hyper(8710,a,12709,a)]. 12711 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(6143(a,1),12431(a,1,1))]. 12712 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),12711(a,1,2,2,1,2))]. 12714 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9467(a,1),12712(a,1,2))]. 12715 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(12(a,1),2205(a,1,2,1))]. 12716 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(70(a,1),12715(a,1,2))]. 12718 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(308,a,12716,a),flip(a)]. 12721 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3350(a,1),12718(a,1,1))]. 12722 L(1 / x,y,z) \ (1 / x) = 1 / (x * L(x \ 1,y,z)). [hyper(62,a,8741,a,b,12721,a)]. 12723 L(x \ 1,y,z) \ (x \ 1) = 1 / (x * L(x \ 1,y,z)). [hyper(62,a,6168,a,b,12722,a)]. 12724 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(62,a,10548,a(flip),b,12723,a),flip(a)]. 12725 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12723(a,1),8742(a,1,1))]. 12726 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1821(a,1),12724(a,1,2))]. 12727 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12726(a,1),4658(a,2,1)),flip(a)]. 12728 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(286,a,8077,a,b,12727,a),flip(a)]. 12729 (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(12727(a,2),8109(a,1))]. 12730 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12725(a,1),11065(a,1,2))]. 12731 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(62,a,5901,a(flip),b,12730,a)]. 12732 (x * ((y * x) \ y)) \ 1 = (1 / ((y * x) \ y)) / x. [hyper(286,a,7305,a,b,12731,a)]. 12734 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(286,a,6675,a,b,12732,a),flip(a)]. 12735 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(175,a,12732,a(flip))]. 12736 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12735(a,1),4502(a,1,2,1))]. 12737 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(286,a,7305,a,b,12736,a),flip(a)]. 12738 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12734(a,1),12737(a,1,1))]. 12739 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(62,a,10279,a,b,12738,a)]. 12740 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6816(a,1),12739(a,1,1))]. 12741 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(62,a,6169,a(flip),b,12740,a),flip(a)]. 12742 T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). [hyper(62,a,10023,a(flip),b,12741,a),flip(a)]. 12743 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(175,a,12742,a(flip))]. 12744 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(12743(a,1),2122(a,1,1)),flip(a)]. 12745 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12744(a,2),9601(a,1,2,1))]. 12746 K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [hyper(9655,a,12745,a)]. 12747 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * ((x * (1 / (1 / z))) / x)). [para(4352(a,1),7473(a,1,2,1)),flip(a)]. 12748 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * (1 / (1 / ((x * z) / x)))). [para(2204(a,1),12747(a,2,2,2))]. 12750 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(6939(a,1),11029(a,1,2,1))]. 12751 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3736(a,1),12750(a,1,2,2)),flip(a)]. 12752 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9422(a,1),12751(a,2,2))]. 12753 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),12752(a,2,2,1))]. 12754 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(12442(a,1),12753(a,1,1,2))]. 12755 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8637(a,1),12754(a,1,1))]. 12757 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(12442(a,1),12755(a,1,2,1))]. 12758 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(4913(a,1),12757(a,1,2,2))]. 12759 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8025(a,1),12758(a,1,2))]. 12760 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(9532(a,1),12759(a,1,2)),flip(a)]. 12761 T(K(x,y) * K(y,z),z) = (y * z) / (z * T(y,x)). [hyper(286,a,7631,a,b,12760,a)]. 12763 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(9283(a,1),6559(a,1,1)),flip(a)]. 12764 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(286,a,7628,a,b,12763,a),flip(a)]. 12766 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(4675(a,1),12764(a,2,1))]. 12767 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(9283(a,1),6560(a,1,1)),flip(a)]. 12768 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(286,a,7628,a,b,12767,a),flip(a)]. 12770 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(4675(a,1),12768(a,2,1))]. 12771 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(286,a,10324,a(flip),b,12770,a),flip(a)]. 12772 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(3993(a,2),12771(a,1,2))]. 12773 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9279(a,1),12772(a,1,2,1))]. 12774 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3989(a,2),12773(a,1,2,1))]. 12776 (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(10909(a,1),12266(a,2,1,1))]. 12777 (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(286,a,10914,a(flip),b,12776,a),flip(a)]. 12778 (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(10909(a,1),12777(a,1,2,1,1))]. 12779 (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(8999(a,1),12778(a,1,2,1))]. 12780 (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(8077(a,1),12779(a,1,2,1))]. 12782 (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(10909(a,1),12780(a,1,2,2,1))]. 12783 (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(8999(a,1),12782(a,1,2,2))]. 12785 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12295(a,1),12783(a,1,2))]. 12786 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(11016,a,12785,a)]. 12787 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(62,a,12300,a,b,12786,a)]. 12788 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12278,a(flip),b,12787,a)]. 12789 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(11314(a,1),11315(a,2,2,1,1))]. 12790 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(286,a,1630,a(flip),b,12789,a),flip(a)]. 12791 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(1877(a,1),12790(a,2,2))]. 12792 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(889(a,1),12791(a,2,2,1))]. 12793 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(1042(a,1),12792(a,2,2,1,2))]. 12794 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(1630(a,1),12793(a,1,1))]. 12795 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(286,a,9902,a(flip),b,10131,a),flip(a)]. 12796 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(286,a,8060,a(flip),b,12795,a),flip(a)]. 12797 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ z,z \ (z / (((x \ z) \ 1) \ 1))),u) = K(((z \ (z / (x \ z))) * (x \ z)) \ (z / (((x \ z) \ 1) \ 1)),u). [para(6280(a,1),10078(a,1,1,1,2))]. 12798 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(286,a,9,a(flip),b,11577,a),flip(a)]. 12800 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11575(a,1),12798(a,1,3))]. 12802 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12649(a,1),12800(a,1,3))]. 12803 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1145,a,12802,a),flip(a)]. 12805 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,12675,a(flip),b,12803,a),flip(a)]. 12806 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5846(a,1),12805(a,1,2))]. 12807 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8149(a,1),12806(a,1,1,1)),flip(a)]. 12808 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(217,a,12807,a),flip(a)]. 12809 ((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(11732(a,1),12474(a,1,2,2))]. 12810 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(4366(a,1),12797(a,1,1,1))]. 12812 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),12810(a,1,1,1)),flip(a)]. 12813 K(R(x,x \ y,y \ (z * (((z \ x) \ 1) \ 1))),u) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),u). [para(6280(a,1),12812(a,2,1,3,2)),flip(a)]. 12814 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),12813(a,1,1,3)),flip(a)]. 12816 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4344(a,1),12814(a,2,1))]. 12817 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(73(a,1),12816(a,1,1,1,1,2))]. 12818 K(((x \ y) * (y \ x)) \ (z * (((z \ y) \ 1) \ 1)),u) = K(R(y,y \ x,x \ y),u). [para(6280(a,1),12817(a,1,1,2))]. 12819 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(62,a,6206,a(flip),b,12818,a)]. 12821 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),12819(a,1,1,1,1)),flip(a)]. 12822 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(7311(a,1),12821(a,2,1,1))]. 12823 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(286,a,7753,a(flip),b,12822,a),flip(a)]. 12824 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),12823(a,1,1,3))]. 12825 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7777(a,1),12824(a,2,1))]. 12826 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(62,a,7237,a(flip),b,12825,a)]. 12827 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(12826(a,1),9438(a,2,2))]. 12828 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(286,a,92,a(flip),b,12827,a),flip(a)]. 12829 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [hyper(286,a,7738,a(flip),b,12828,a),flip(a)]. 12830 (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,11108,a(flip),b,12809,a)]. 12831 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(10344(a,1),12830(a,1,2,2)),flip(a)]. 12832 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(8077(a,1),12831(a,2,2))]. 12834 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(12709(a,1),12832(a,2,2))]. 12835 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(8056(a,1),12834(a,2,2))]. 12836 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(11732(a,1),12835(a,1,1,2))]. 12837 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,11064,a,b,12836,a)]. 12838 (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(12473(a,1),12837(a,1,1)),flip(a)]. 12839 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(12838(a,1),513(a,1))]. 12840 (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(10909(a,1),12245(a,1,2,1,1))]. 12841 (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(11557(a,1),12840(a,1,2,1))]. 12842 (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(8118(a,1),12841(a,1,2,1,1))]. 12843 (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(12229(a,1),12842(a,1,2,1))]. 12844 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12254(a,1),12843(a,1,2)),flip(a)]. 12845 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(286,a,12277,a(flip),b,12844,a),flip(a)]. 12846 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(10909(a,1),12845(a,1,2))]. 12847 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(62,a,12788,a(flip),b,12846,a)]. 12848 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(62,a,10434,a(flip),b,12847,a)]. 12849 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(62,a,9297,a(flip),b,12848,a)]. 12850 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12849(a,1),10429(a,1,1)),flip(a)]. 12851 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,11272,a(flip),b,12850,a),flip(a)]. 12852 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10790(a,1),12851(a,1,1)),flip(a)]. 12854 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12852(a,1),12541(a,2,1))]. 12855 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12532(a,1),12854(a,2,1,1))]. 12857 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11216(a,1),12855(a,1,1,1))]. 12858 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11056(a,1),12857(a,1,1))]. 12860 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10053(a,1),12858(a,1,1)),flip(a)]. 12861 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(115,a,12860,a(flip),b,656,a)]. 12863 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11367,a,12861,a),flip(a)]. 12864 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10948(a,1),12863(a,2,2))]. 12865 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(286,a,10955,a(flip),b,12864,a),flip(a)]. 12869 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(51,a,12865,a)]. 12870 (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(12869(a,1),11423(a,1,2))]. 12871 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(11009(a,1),12870(a,1,1,2,1))]. 12872 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(474,a,12871,a),flip(a)]. 12873 R(a(x,y,x),z,u) = a(x,y,x). [hyper(33,a,10939,a(flip),b,12872,a),flip(a)]. 12874 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(62,a,467,a,b,12873,a)]. 12875 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(62,a,12530,a(flip),b,12873,a)]. 12876 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(62,a,11058,a(flip),b,12873,a),flip(a)]. 12877 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12873(a,1),104(a,1,1)),flip(a)]. 12879 L(x,y,a(z,u,z)) = x. [para(12873(a,1),12869(a,1,3))]. 12880 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(537,a,12879,a),flip(a)]. 12881 (a(x,y,x) \ z) \ 1 = z \ a(x,y,x). [hyper(536,a,12879,a),flip(a)]. 12882 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(62,a,268,a(flip),b,12879,a)]. 12883 L(x,y,a(z,u,z)) != w | x = w. [para(12879(a,1),49(a,2))]. 12884 a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u. [para(12879(a,1),425(a,1,2)),flip(a)]. 12885 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12879(a,1),495(a,1,2))]. 12886 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12879(a,1),431(a,1,2,1)),flip(a)]. 12887 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12879(a,1),429(a,1,2,2,1))]. 12888 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12879(a,1),10953(a,1,2))]. 12891 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(286,a,11706,a,b,12875,a),flip(a)]. 12892 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12875(a,1),12537(a,1,2)),flip(a)]. 12893 x \ (a(y,z,y) * u) != w | (a(y,z,y) \ x) \ u = w. [para(445(a,1),12883(a,1))]. 12894 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(12368,a,12891,a),flip(a)]. 12896 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(6090(a,1),12876(a,1,2)),flip(a)]. 12897 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12877(a,1),14(a,2,1)),flip(a)]. 12898 (a(x,y,x) * (z * u)) \ (u * (a(x,y,x) * z)) = K(u,a(x,y,x) * z). [para(12877(a,1),16(a,2,1)),flip(a)]. 12900 a(x,y,x) * ((a(x,y,x) \ z) * u) != w | z * u = w. [para(12877(a,1),512(a,1))]. 12901 (a(x,y,x) * z) / u = (z / u) * a(x,y,x). [hyper(286,a,10939,a(flip),b,12885,a),flip(a)]. 12902 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4664,a,12888,a)]. 12903 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(286,a,12005,a(flip),b,12888,a),flip(a)]. 12905 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(22(a,1),12894(a,1,2))]. 12907 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(286,a,9211,a(flip),b,12892,a),flip(a)]. 12909 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10481,a,12907,a),flip(a)]. 12910 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(62,a,11236,a,b,12905,a)]. 12911 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(62,a,11360,a(flip),b,12909,a)]. 12912 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(62,a,12568,a(flip),b,12911,a)]. 12914 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(62,a,12635,a(flip),b,12912,a)]. 12916 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,12317,a(flip),b,12914,a),flip(a)]. 12917 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10945(a,1),12874(a,1,1,1))]. 12918 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(62,a,11633,a(flip),b,12896,a)]. 12919 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(62,a,11570,a(flip),b,12910,a),flip(a)]. 12920 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(286,a,12699,a,b,12919,a)]. 12922 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(62,a,12398,a(flip),b,12916,a)]. 12923 R(K(x,y),z,u) = K(R(x,z,u),y). [para(7492(a,1),12922(a,1,1))]. 12924 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12923(a,2),4781(a,1,1))]. 12927 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(7396,a,12924,a)]. 12928 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12924(a,1),7396(a,1))]. 12929 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(286,a,8,a,b,12927,a)]. 12930 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(62,a,12923,a(flip),b,12927,a)]. 12935 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12927(a,1),12649(a,1,2))]. 12936 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12927(a,1),12674(a,2,1,2))]. 12937 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7434,a,12930,a),flip(a)]. 12939 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12929(a,1),123(a,1)),flip(b)]. 12941 K(R(x,y,z),u) != w | R(K(x,u),y,z) = w. [para(12930(a,2),12928(a,1))]. 12944 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12923(a,1),12939(a,1))]. 12945 K(x,y) != z | R(K(x,y),y,u) = z. [para(11341(a,1),12941(a,1))]. 12946 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(62,a,12654,a(flip),b,12935,a)]. 12947 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12946(a,2),12689(a,2,1)),flip(a)]. 12948 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(62,a,12691,a,b,12947,a)]. 12951 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12944,a,12937,a)]. 12952 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4659(a,2),12936(a,2,1))]. 12953 (x * y) \ (a(z,u,z) \ (y * (a(z,u,z) * x))) = K(y,a(z,u,z) * x). [hyper(62,a,12882,a(flip),b,12898,a)]. 12954 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(104(a,1),12917(a,1,1))]. 12955 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12903(a,1),12954(a,1,1,1))]. 12956 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(10(a,1),12955(a,1,2,1))]. 12957 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12006(a,1),12956(a,1,1,1)),flip(a)]. 12958 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(286,a,20,a,b,12957,a),flip(a)]. 12959 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(9(a,1),12958(a,1,2,2)),flip(a)]. 12960 a(x,R(y,z,u),x) = a(x,y,x). [hyper(62,a,12873,a(flip),b,12959,a),flip(a)]. 12962 a(x,y / (z * y),x) = a(x,z \ 1,x). [para(4900(a,1),12960(a,1,2))]. 12963 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12960(a,1),9199(a,1,1))]. 12964 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12960(a,1),9216(a,1,1)),flip(a)]. 12965 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). [para(12422(a,1),12962(a,1,2,2)),flip(a)]. 12966 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(286,a,9216,a(flip),b,12964,a),flip(a)]. 12967 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12966(a,1),12774(a,1,2))]. 12968 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10993,a,12963,a)]. 12969 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12968(a,2),3922(a,1,1))]. 12970 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(730(a,1),12967(a,1,2)),flip(a)]. 12972 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(12970(a,1),4697(a,1,2))]. 12973 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(62,a,10989,a(flip),b,12969,a)]. 12975 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(22(a,2),12920(a,1,2))]. 12976 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(10027,a,12975,a)]. 12977 (x * y) * a(z,u,R(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12976(a,1),12545(a,1,2))]. 12978 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,L(z,y / z,x))). [para(12891(a,1),12977(a,1,2))]. 12980 (x * y) * a(z,u,L(z,w,v5)) = x * ((y / z) * R(z,u,z)). [hyper(11688,a,12978,a(flip)),flip(a)]. 12981 (x * y) * a(z,u,L(z,w,v5)) = x * (y * a(z,u,z)). [para(10972(a,1),12980(a,2,2))]. 12983 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(334(a,1),12981(a,1,2,3))]. 12984 L(a(x,y,x),z,u) = a(x,y,x). [hyper(7575,a,12983,a)]. 12985 R(x,y,a(z,u,z)) = x. [hyper(7165,a,12983,a)]. 12986 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(572,a,12983,a)]. 12987 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(521,a,12983,a),flip(a)]. 12989 (x * (y * a(z,u,z))) * w = a(z,u,z) * ((x * y) * w). [para(12983(a,1),12888(a,1,1))]. 12992 L(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(286,a,12984,a,b,12984,a)]. 12994 L(a(x,y,x),z,u) = (w * x) \ (w * R(x,y,x)). [hyper(286,a,10985,a,b,12984,a),flip(a)]. 12996 a(x,y * K(z,y),x) = a(x,y,x). [hyper(62,a,12876,a,b,12984,a)]. 12999 a(x,T(y,z),x) = a(x,y,x). [para(4670(a,1),12996(a,1,2)),flip(a)]. 13000 a(x,y \ z,x) = a(x,z / y,x). [para(4672(a,1),12996(a,1,2)),flip(a)]. 13001 x \ R(x,T(y,z),x) = a(x,y,x). [hyper(11011,a,12999,a)]. 13003 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(12999(a,1),9210(a,1,1))]. 13005 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(286,a,12999,a,b,13000,a)]. 13006 R(x,T(y,z),x) = R(x,y,x). [hyper(37,a,9175,a,b,13001,a),flip(a)]. 13013 K(x,x \ (y / z)) * K(x * T(x \ (z \ y),z),x) = x \ R(x,x \ (z \ y),x). [para(13006(a,1),11355(a,2,2))]. 13015 a(x,y,x) * (z \ 1) = z \ a(x,y,x). [hyper(10964,a,12987,a)]. 13016 a(x,y,x) * ((z \ 1) * u) = (z \ a(x,y,x)) * u. [para(12987(a,1),12888(a,1,1)),flip(a)]. 13029 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12992(a,1),335(a,1)),flip(b)]. 13030 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(612(a,1),13005(a,1,2))]. 13031 ((x \ 1) / y) * a(z,u,z) = (x \ a(z,u,z)) / y. [para(13015(a,1),12901(a,1,1)),flip(a)]. 13033 x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). [para(10939(a,2),12986(a,1,2))]. 13034 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12983(a,1),12986(a,1,2))]. 13035 (a(x,y,x) \ z) \ u = (z \ u) * a(x,y,x). [hyper(12893,a,13033,a)]. 13036 L(a(x \ y,z,x \ y),u,w) = y \ (x * R(x \ y,z,x \ y)). [hyper(286,a,147,a(flip),b,12994,a),flip(a)]. 13037 a(x,y,x) \ ((z \ a(x,y,x)) * u) = (z \ 1) * u. [hyper(121,a,13016,a)]. 13038 (((x \ a(y,z,y)) * u) \ w) * a(y,z,y) = ((x \ 1) * u) \ w. [para(13037(a,1),13035(a,1,1)),flip(a)]. 13039 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(13030(a,2),10983(a,1,2,1)),flip(a)]. 13040 (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). [para(10939(a,2),12989(a,1,1,2))]. 13041 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(18(a,2),13034(a,2,1))]. 13042 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(9560,a,13040,a)]. 13043 (x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w). [hyper(115,a,69,a(flip),b,13040,a)]. 13045 a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. [hyper(286,a,145,a(flip),b,13042,a),flip(a)]. 13046 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(115,a,145,a(flip),b,13042,a)]. 13047 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(62,a,12888,a,b,13042,a)]. 13049 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(12900,a,13045,a),flip(a)]. 13050 K(x,y) * (z * (a(x,y,x) \ u)) = K(x,x * y) * (z * u). [para(13045(a,1),10919(a,1,2)),flip(a)]. 13051 (x * (a(y,z,y) \ u)) \ 1 = (x * u) \ a(y,z,y). [para(13046(a,1),12881(a,1,1))]. 13052 (x * (a(y,z,y) \ u)) \ w = (x * u) \ (a(y,z,y) * w). [para(13046(a,1),12880(a,1,1))]. 13053 (x * y) \ (y * (a(z,u,z) \ (a(z,u,z) * x))) = K(y,a(z,u,z) * x). [para(13046(a,1),12953(a,1,2))]. 13054 R(x,a(y,z,y),u) = x. [hyper(4528,a,13047,a)]. 13055 L(x,a(y,z,y),u) = x. [hyper(435,a,13047,a)]. 13056 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(13047(a,1),14(a,2,1,2)),flip(a)]. 13057 a(x,y,x) \ (z / u) = z / (a(x,y,x) * u). [hyper(10967,a,13054,a),flip(a)]. 13058 (x / L(y,z,y)) * (a(y,z,y) \ u) = (x / y) * u. [para(13054(a,1),10043(a,1,1)),flip(a)]. 13059 x / (a(y,z,y) \ u) = (x / u) * a(y,z,y). [para(13055(a,1),452(a,1,2))]. 13060 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(a(y,z,y) \ u,x). [hyper(115,a,13049,a(flip),b,85,a)]. 13061 (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(x,a(z,u,z) \ y,w). [para(13049(a,1),14(a,2,1,2)),flip(a)]. 13062 (x * (a(y,z,y) \ u)) \ ((a(y,z,y) \ x) * (u * w)) = L(w,u,a(y,z,y) \ x). [para(13049(a,1),18(a,2,1)),flip(a)]. 13063 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). [para(13049(a,1),18(a,2,2,2)),flip(a)]. 13067 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9185(a,1),13057(a,2,2))]. 13068 a(x,y,x) \ (z / u) = z / (u * a(x,y,x)). [para(10939(a,1),13057(a,2,2))]. 13069 a(x,y,x) \ (z * K(x,z)) = (x * z) / R(x,y,x). [hyper(62,a,4811,a(flip),b,13067,a)]. 13070 (x / ((y \ a(z,u,z)) * w)) * a(z,u,z) = x / ((y \ 1) * w). [para(13037(a,1),13059(a,1,2)),flip(a)]. 13072 (x * (y * (a(z,u,z) * w))) \ v5 = (x * (y * w)) \ (a(z,u,z) \ v5). [para(13042(a,1),13043(a,1,1,2))]. 13073 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(593(a,1),13036(a,2,2))]. 13074 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(12983(a,1),13041(a,1,2,2))]. 13075 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(439,a,13074,a)]. 13076 L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w). [hyper(4556,a,13075,a),flip(a)]. 13077 L(a(x,y,x) \ K(z,u),w,v5) = a(x,y,x) \ K(z,L(u,w,v5)). [para(11732(a,1),13076(a,2,2))]. 13078 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12960(a,1),13039(a,2,2,1))]. 13079 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(13078(a,2),10984(a,1))]. 13081 K(x,a(y,z,y) * u) = (u * x) \ (x * u). [para(9(a,1),13053(a,1,2,2)),flip(a)]. 13082 K(x,a(y,z,y) * u) = K(x,u). [hyper(286,a,16,a,b,13081,a),flip(a)]. 13083 K(x,a(y,z,y) \ u) = K(x,u). [para(10(a,1),13082(a,1,2)),flip(a)]. 13084 T(x,a(y,z,y) * u) = x * K(x,u). [para(13082(a,1),4659(a,2,2))]. 13085 K(x,(y \ R(y,z,y)) * u) = K(x,u). [para(9173(a,1),13082(a,1,2,1))]. 13086 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(10438(a,1),13082(a,1,2)),flip(a)]. 13087 K(x,y * a(z,u,z)) = K(x,y). [para(10939(a,1),13082(a,1,2))]. 13088 K(x,y * R(z,u,z)) = K(x,y * z). [para(10986(a,1),13082(a,1,2))]. 13089 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(13045(a,1),13082(a,1,2)),flip(a)]. 13090 (a(x,y,x) \ z) * K(x,z) = (L(x,y,x) * z) / x. [para(13083(a,1),10977(a,1,2))]. 13091 K(x,y / (z * a(u,w,u))) = K(x,y / z). [para(13068(a,1),13083(a,1,2))]. 13092 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(286,a,4614,a(flip),b,13087,a),flip(a)]. 13093 K(x,T(y,z) / z) = K(x,z \ y). [para(9202(a,1),13087(a,1,2))]. 13095 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(13033(a,2),13087(a,1,2))]. 13096 K(x,y / T(z,y)) = K(x,z \ y). [para(3926(a,1),13093(a,1,2))]. 13097 T(x,a(y,z,y) * u) = T(x,u). [hyper(4730,a,13084,a),flip(a)]. 13098 T(x,(y \ R(y,z,y)) * u) = T(x,u). [para(9173(a,1),13097(a,1,2,1))]. 13099 T(x,y * a(z,u,z)) = T(x,y). [para(10939(a,1),13097(a,1,2))]. 13100 T(x,y * a(z,u,z)) = L(T(x,y),w,a(v5,v6,v5)). [hyper(286,a,12879,a,b,13099,a),flip(a)]. 13101 T(x,(y * z) * y) = T(x,y * (z * y)). [para(81(a,1),13099(a,1,2))]. 13102 T(x,T(y,z) / z) = T(x,z \ y). [para(9202(a,1),13099(a,1,2))]. 13103 T(x,y * L(z,u,z)) = T(x,y * z). [para(10051(a,1),13099(a,1,2)),flip(a)]. 13104 T(x,y \ (a(z,u,z) * w)) = T(x,y \ w). [para(13033(a,2),13099(a,1,2))]. 13105 T(x,y / T(z,y)) = T(x,z \ y). [para(3926(a,1),13102(a,1,2))]. 13106 T(x,T(T(y,z) / z,u)) = K(x,u) * T(x * K(u,x),z \ y). [para(13102(a,1),9306(a,1,2)),flip(a)]. 13107 K(x,T(y,z \ u) * (T(u,z) / z)) = K(x,(T(u,z) / z) * y). [para(13102(a,1),12122(a,1,2,1))]. 13108 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4120(a,1),13086(a,1,2,1))]. 13110 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(13086(a,1),9247(a,1,1))]. 13111 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11217(a,1),13086(a,1,2,1))]. 13112 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(4045(a,1),13088(a,1,2,2)),flip(a)]. 13114 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(13092(a,2),4728(a,1))]. 13115 T(x,y * ((z \ u) \ u)) = T(x,y * T(z,u)). [para(12548(a,1),13103(a,1,2,2)),flip(a)]. 13116 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(6089(a,1),13101(a,1,2)),flip(a)]. 13117 K(x,K(y,y * z) * u) = K(x,K(y,z) * u). [para(10918(a,1),13089(a,1,2))]. 13118 K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * ((z \ 1) * v5)). [para(13037(a,1),13089(a,1,2,2)),flip(a)]. 13119 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(13046(a,1),13089(a,1,2,2))]. 13120 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9199(a,1),13095(a,1,2,2))]. 13121 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9172(a,1),13095(a,1,2,2))]. 13122 K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). [para(10986(a,1),13095(a,1,2,2))]. 13123 K(x,y \ (z \ a(u,w,u))) = K(x,y \ (z \ 1)). [para(13015(a,1),13095(a,1,2,2))]. 13124 T(x,y \ R(z,u,z)) = T(x,y \ z). [para(9185(a,1),13104(a,1,2,2))]. 13125 T(x,y \ T(z * u,z)) = T(x,y \ (u * z)). [para(9199(a,1),13104(a,1,2,2))]. 13126 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(286,a,13108,a,b,13111,a)]. 13127 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(286,a,6895,a,b,13111,a),flip(a)]. 13128 K(x,T(y,z * y) \ u) = K(x,T(y,z) \ u). [para(3948(a,2),13111(a,1,2,1)),flip(a)]. 13129 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(286,a,4614,a(flip),b,13112,a),flip(a)]. 13131 K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). [para(10(a,1),13117(a,1,2,1,2)),flip(a)]. 13132 K(x,y \ K(z,u * z)) = K(x,y \ K(z,u)). [para(4786(a,1),13121(a,1,2,2)),flip(a)]. 13133 K(x,K(y,y \ z) * (z \ u)) = K(x,T(z,y) \ u). [para(5741(a,1),13131(a,2,2))]. 13134 K(x,K(y,z) * ((z / y) \ u)) = K(x,(y \ z) \ u). [para(6184(a,1),13131(a,1,2)),flip(a)]. 13135 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(T(y \ z,y) \ 1) * u). [para(6510(a,1),13131(a,1,2)),flip(a)]. 13136 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(13100(a,2),339(a,1)),flip(b)]. 13138 T(x,y \ (a(z,u,z) * w)) != v5 | T(x,y \ w) = v5. [para(13033(a,2),13136(a,1,2))]. 13141 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * T(u,w))). [para(4120(a,1),13122(a,1,2,2,2))]. 13142 K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). [para(11217(a,1),13122(a,1,2,2,2))]. 13144 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(13129(a,2),4728(a,1))]. 13145 K(K(x,x \ y) * (y \ z),u) = (w * K(u,T(y,x) \ z)) \ w. [para(13133(a,1),6895(a,1,1,2)),flip(a)]. 13147 K(x,y * ((z / L(u,w,u)) * v5)) = K(x,y * ((z / u) * v5)). [para(13058(a,1),13119(a,1,2,2)),flip(a)]. 13148 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(13127(a,2),6902(a,1))]. 13149 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). [hyper(286,a,13141,a,b,13142,a)]. 13150 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [hyper(9237,a,13110,a),flip(a)]. 13152 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),13150(a,1,2,1,1)),flip(a)]. 13153 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(13152(a,1),8512(a,1))]. 13154 K(x,L(T(y,z),u,w) \ z) != v5 | K(x,z / L(y,u,w)) = v5. [para(25(a,2),13153(a,1,2,1))]. 13155 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3928(a,1),13153(a,1,2))]. 13156 T(x,T(T(y,z) / z,u)) = T(x,T(z \ y,u)). [hyper(286,a,9306,a(flip),b,13106,a),flip(a)]. 13157 T(x,T(y / T(z,y),u)) = T(x,T(z \ y,u)). [para(3926(a,1),13156(a,1,2,1))]. 13158 K(K(x,x \ y) * (y \ z),u) = K(T(y,x) \ z,u). [hyper(286,a,6895,a(flip),b,13145,a),flip(a)]. 13159 K(K(x,x \ y) * (y \ z),u) != w | K(T(y,x) \ z,u) = w. [para(13145(a,2),6902(a,1))]. 13160 K(T(x,y) \ (x * z),u) = K(K(y,y \ x) * z,u). [para(9(a,1),13158(a,1,1,2)),flip(a)]. 13161 K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). [para(5740(a,1),13160(a,1,1)),flip(a)]. 13162 K(T(x,x \ y) * z,u) = K(K(x,y) * (x * z),u). [para(4675(a,1),13161(a,1,1))]. 13163 K(K(x,x \ y) * (y * z),u) = K(y * (K(x,y) * z),u). [para(5885(a,1),13161(a,2,1))]. 13164 K(K(x,y) * (((x \ y) \ 1) * z),u) = K((T(x \ y,x) \ 1) * z,u). [para(6510(a,1),13161(a,1,1)),flip(a)]. 13165 K(T(x,x \ y) * z,u) = K(T(x,y) * z,u). [para(4675(a,1),13162(a,2,1))]. 13166 K(T(x \ y,y) * z,u) = K(T(x \ y,x) * z,u). [para(3934(a,1),13165(a,1,1,1)),flip(a)]. 13167 K((x * (y / x)) * z,u) = K(y * (K(x,y) * z),u). [para(11434(a,1),13163(a,1,1))]. 13168 K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). [para(213(a,1),13149(a,1,2,2))]. 13169 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4591(a,1),13116(a,1,2,2))]. 13170 (x * y) \ (a(z,u,z) * (y * (a(z,u,z) \ x))) = K(a(z,u,z) \ y,x). [hyper(62,a,13052,a(flip),b,13060,a)]. 13171 K(a(x,y,x) \ z,u) = (u * z) \ (z * u). [para(13045(a,1),13170(a,1,2)),flip(a)]. 13172 K(a(x,y,x) \ z,u) = K(z,u). [hyper(286,a,16,a,b,13171,a),flip(a)]. 13174 K(a(x,y,x) * z,u) = K(z,u). [hyper(7510,a,13172,a),flip(a)]. 13175 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13172(a,1),7510(a,1))]. 13176 K((x \ a(y,z,y)) * u,w) = K((x \ 1) * u,w). [para(13037(a,1),13172(a,1,1)),flip(a)]. 13177 K(x * (a(y,z,y) \ u),w) = K(x * u,w). [para(13046(a,1),13172(a,1,1))]. 13178 K(R(x,y,x) \ z,u) = K(x \ z,u). [para(10438(a,1),13174(a,1,1)),flip(a)]. 13179 K(x * a(y,z,y),u) = K(x,u). [para(10939(a,1),13174(a,1,1))]. 13180 K((a(x,y,x) \ z) * u,w) = K(z * u,w). [para(12884(a,1),13174(a,1,1)),flip(a)]. 13181 K(T(x,y) / y,z) = K(y \ x,z). [para(9202(a,1),13179(a,1,1))]. 13182 K(x / L(y,z,y),u) = K(x / y,u). [para(10041(a,1),13179(a,1,1))]. 13184 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(13179(a,1),12902(a,2,2))]. 13185 K(x / T(y,x),z) = K(y \ x,z). [hyper(62,a,10106,a(flip),b,13181,a)]. 13186 K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u). [para(4120(a,1),13178(a,1,1,1))]. 13187 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(10939(a,1),13175(a,1,1))]. 13188 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9202(a,1),13187(a,1,1))]. 13189 K(x * K(y * z,y),u) = K(x * K(z,y),u). [para(9187(a,1),13177(a,1,1,2)),flip(a)]. 13190 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [para(9187(a,1),13180(a,1,1,1)),flip(a)]. 13191 K(K(x * y,y) * z,u) = K(K(x,y) * z,u). [para(9207(a,1),13180(a,1,1,1)),flip(a)]. 13192 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3926(a,1),13188(a,1,1))]. 13193 K(T(x \ y,y) \ z,u) = K(T(x \ y,x) \ z,u). [para(3934(a,1),13186(a,1,1,1)),flip(a)]. 13194 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(286,a,4659,a,b,13184,a),flip(a)]. 13196 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [hyper(131,a,13194,a),flip(a)]. 13197 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(10939(a,2),13196(a,1,1))]. 13198 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(13197(a,2),6657(a,1,1,2,2))]. 13199 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). [para(8537(a,1),13168(a,1,2,2,1))]. 13200 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). [hyper(286,a,13142,a(flip),b,13199,a),flip(a)]. 13202 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). [para(213(a,1),13200(a,2,2,2))]. 13203 K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ (T(z \ 1,u) * w)). [para(4012(a,1),13202(a,1,2,2,1))]. 13204 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(12972,a,12761,a(flip)),flip(a)]. 13205 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12654(a,1),13204(a,1,1))]. 13206 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(62,a,12808,a,b,13205,a),flip(a)]. 13207 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(162(a,1),13206(a,2,1,2))]. 13208 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(12945,a,13207,a)]. 13209 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),13207(a,1,1))]. 13210 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(62,a,9951,a,b,13209,a)]. 13211 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(62,a,12139,a(flip),b,13210,a)]. 13212 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4777(a,2),13211(a,2,1))]. 13213 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13207(a,1),13208(a,1,1))]. 13214 (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). [para(13049(a,1),13062(a,1,2))]. 13215 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). [para(13046(a,1),13214(a,1,2,2))]. 13216 L(x,a(y,z,y) \ u,w) = L(x,u,a(y,z,y) \ w). [hyper(62,a,13063,a(flip),b,13215,a)]. 13217 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12877(a,1),12886(a,2,1))]. 13219 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (R(x,z,x) * (x \ y)). [para(9571(a,1),13073(a,2,2,1))]. 13221 L(a((x \ y) \ y,z,(x \ y) \ y),u,w) = y \ (y * a(x,z,x)). [para(10940(a,1),13219(a,2,2))]. 13222 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(342,a,13221,a),flip(a)]. 13223 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(62,a,11615,a(flip),b,13222,a)]. 13225 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(23(a,1),13223(a,1,1,2))]. 13226 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(286,a,12999,a,b,13225,a)]. 13227 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(34,a,10781,a,b,13226,a(flip))]. 13229 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(286,a,7723,a(flip),b,13227,a),flip(a)]. 13231 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8662(a,2),13229(a,2,1)),flip(a)]. 13232 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(7011(a,2),13231(a,1,1,1))]. 13233 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(286,a,12885,a(flip),b,13217,a),flip(a)]. 13234 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),13233(a,2,2))]. 13235 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12879(a,1),13234(a,1,2))]. 13236 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(13235(a,2),12794(a,1,1,2))]. 13237 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12877(a,1),12897(a,1,2,1))]. 13238 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4823(a,1),12918(a,2,2))]. 13239 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9206,a,13238,a)]. 13240 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12984(a,1),13239(a,1,1))]. 13242 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(286,a,13000,a,b,13240,a),flip(a)]. 13245 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(18(a,2),13242(a,2,2))]. 13246 a(x,L(y,z,u),x) = a(x,y,x). [hyper(13029,a,13245,a),flip(a)]. 13248 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(268(a,1),13246(a,1,2))]. 13249 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13246(a,1),9179(a,1,2)),flip(a)]. 13250 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13246(a,1),10046(a,1,1)),flip(a)]. 13251 R(x,L(y,z,u),x) = R(x,y,x). [hyper(286,a,9179,a(flip),b,13249,a),flip(a)]. 13252 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(13251(a,1),12766(a,1,2,1))]. 13253 L(x,L(y,z,u),x) = L(x,y,x). [hyper(286,a,10046,a(flip),b,13250,a),flip(a)]. 13254 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1722(a,2),13253(a,1,2)),flip(a)]. 13255 (x * (y * (a(z,u,z) * w))) \ (a(z,u,z) * ((x * y) * w)) = a(x,y * a(z,u,z),w). [para(12989(a,1),13056(a,1,2))]. 13256 (K(x,y) * (z * (a(x,y,x) \ u))) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). [para(10918(a,1),13061(a,1,2,1))]. 13257 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12877(a,1),13237(a,1,2))]. 13258 (x * (y * z)) \ (a(u,w,u) \ (a(u,w,u) * ((x * y) * z))) = a(x,y * a(u,w,u),z). [hyper(62,a,13072,a(flip),b,13255,a)]. 13259 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(753,a,13257,a)]. 13260 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12883,a,13259,a),flip(a)]. 13262 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(10(a,1),13260(a,1,1)),flip(a)]. 13263 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9209(a,1),13260(a,1,1))]. 13264 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9172(a,1),13260(a,1,1))]. 13265 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9171(a,1),13262(a,1,1))]. 13266 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(10(a,1),13263(a,1,1,1))]. 13267 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(62,a,13212,a,b,13265,a)]. 13268 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(286,a,13264,a(flip),b,13266,a),flip(a)]. 13269 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(6773(a,1),13268(a,1,1)),flip(a)]. 13270 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(7008(a,1),13269(a,1,1))]. 13271 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(62,a,13263,a(flip),b,13270,a),flip(a)]. 13272 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(62,a,12652,a,b,13271,a)]. 13273 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3314(a,1),13271(a,1,1)),flip(a)]. 13274 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12930(a,1),13271(a,2,1))]. 13275 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11445(a,2),13273(a,2,1)),flip(a)]. 13276 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(62,a,11007,a,b,13267,a)]. 13277 (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,6919,a(flip),b,13267,a)]. 13278 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,12698,a,b,13274,a)]. 13279 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(7404(a,1),13275(a,2,1))]. 13280 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(286,a,13273,a(flip),b,13279,a),flip(a)]. 13281 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11445(a,1),13280(a,1,1))]. 13282 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12930(a,1),13281(a,2,1))]. 13283 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13272(a,1),13278(a,1,1)),flip(a)]. 13284 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(286,a,13213,a(flip),b,13283,a),flip(a)]. 13285 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,13282,a(flip),b,13284,a)]. 13286 a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). [para(9(a,1),13258(a,1,2)),flip(a)]. 13287 a(x,y * a(z,u,z),w) = a(x,y,w). [hyper(286,a,14,a,b,13286,a),flip(a)]. 13289 a(x,T(y * z,y),u) = a(x,z * y,u). [para(9200(a,1),13287(a,1,2))]. 13290 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(10946(a,1),13287(a,1,2)),flip(a)]. 13291 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(13251(a,1),13252(a,1,2,2,1))]. 13293 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(3989(a,2),13291(a,1,2))]. 13295 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4033(a,1),13293(a,1,2,2))]. 13296 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12112(a,1),13295(a,1,2))]. 13297 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(729(a,1),13296(a,1,2)),flip(a)]. 13298 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(62,a,10323,a(flip),b,13297,a)]. 13299 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(115,a,13298,a(flip),b,4659,a(flip))]. 13301 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9168,a,13299,a),flip(a)]. 13302 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(286,a,11783,a(flip),b,13301,a),flip(a)]. 13303 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),13302(a,1,1))]. 13304 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(62,a,9790,a(flip),b,13303,a)]. 13305 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11715(a,1),13304(a,2,3))]. 13306 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(286,a,11984,a(flip),b,13305,a),flip(a)]. 13308 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10857,a,13306,a)]. 13310 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(62,a,11007,a,b,13308,a)]. 13311 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),13308(a,1,2))]. 13312 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(7092,a,13311,a)]. 13313 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(62,a,10723,a(flip),b,13312,a)]. 13314 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11718(a,1),13313(a,2,3))]. 13315 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(76(a,1),13314(a,2,3,1))]. 13318 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13315(a,1),5844(a,1,2,1)),flip(a)]. 13319 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(286,a,11033,a(flip),b,13318,a),flip(a)]. 13320 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13319(a,1),4659(a,2,2))]. 13321 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13319(a,1),11996(a,1,3)),flip(a)]. 13322 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(62,a,12001,a,b,13321,a)]. 13323 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(13321(a,1),12307(a,1,1))]. 13325 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13322(a,1),10253(a,1,2))]. 13327 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13254(a,1),13310(a,1,2))]. 13328 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(6306,a,13327,a)]. 13329 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(62,a,7867,a(flip),b,13328,a)]. 13330 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12578(a,1),13325(a,1,2)),flip(a)]. 13331 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(286,a,8,a(flip),b,13330,a),flip(a)]. 13333 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(13331(a,1),10447(a,1,2,2)),flip(a)]. 13334 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(286,a,10447,a(flip),b,13333,a),flip(a)]. 13335 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13334(a,1),4659(a,2,2))]. 13336 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(13334(a,1),8399(a,1,2)),flip(a)]. 13338 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(4730,a,13335,a),flip(a)]. 13339 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13338(a,1),13329(a,1,2,1))]. 13340 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4863,a,13339,a)]. 13341 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(12581(a,1),13323(a,1,1))]. 13342 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(118,a,13341,a)]. 13344 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(62,a,7166,a(flip),b,13342,a)]. 13346 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13344(a,1),4659(a,2,2)),flip(a)]. 13348 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4663,a,13346,a),flip(a)]. 13349 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13348(a,2),595(a,1,1))]. 13350 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(286,a,13320,a(flip),b,13349,a),flip(a)]. 13351 (K(x,x * y) * (z * u)) \ ((K(x,x * y) * z) * u) = a(K(x,y),a(x,y,x) \ z,u). [para(13050(a,1),13256(a,1,1))]. 13352 a(K(x,y),a(x,y,x) \ z,u) = a(K(x,x * y),z,u). [hyper(655,a,13351,a),flip(a)]. 13353 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12877(a,1),12887(a,1,2))]. 13354 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(10(a,1),13236(a,1,1,2,1)),flip(a)]. 13355 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13354(a,1),13277(a,1,1))]. 13356 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(9(a,1),13355(a,1,2))]. 13357 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4684,a,13356,a),flip(a)]. 13359 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13357(a,1),12690(a,2,2))]. 13360 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(62,a,12948,a(flip),b,13359,a),flip(a)]. 13361 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(62,a,10855,a,b,13360,a)]. 13362 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8060(a,2),13361(a,2,1))]. 13363 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(10865,a,13362,a)]. 13364 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,10343,a(flip),b,13363,a)]. 13365 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8077(a,1),13364(a,2,1))]. 13366 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9105(a,1),13365(a,2,1))]. 13367 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10373,a,13366,a)]. 13370 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(62,a,10876,a(flip),b,13367,a)]. 13372 L(L(x,y,z),z * y,a(u,w,u)) = L(x,L(y,z,a(u,w,u)),a(u,w,u) * z). [hyper(751,a,13353,a)]. 13373 L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = L(x,y,z). [hyper(12883,a,13372,a),flip(a)]. 13375 L(x,y,a(z,u,z) * w) = L(x,y,w). [para(12879(a,1),13373(a,1,2))]. 13376 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(10(a,1),13375(a,1,3)),flip(a)]. 13377 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(9191(a,1),13375(a,1,3))]. 13378 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9195(a,1),13375(a,1,3)),flip(a)]. 13379 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(9199(a,1),13375(a,1,3))]. 13380 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9172(a,1),13375(a,1,3))]. 13381 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(10939(a,1),13375(a,1,3))]. 13382 L(x,y,(a(z,u,z) \ w) * v5) = L(x,y,w * v5). [para(12884(a,1),13375(a,1,3)),flip(a)]. 13383 L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). [para(13045(a,1),13375(a,1,3)),flip(a)]. 13384 L(x,a(y,z,y) \ u,w) = L(x,u,w). [hyper(62,a,13216,a,b,13376,a)]. 13385 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9171(a,1),13376(a,1,3))]. 13386 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(10057(a,1),13381(a,1,3))]. 13388 L(x \ (y * z),x,K(z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [hyper(62,a,12443,a(flip),b,13377,a),flip(a)]. 13389 L(x,y,K(K(z,u) * w,(w * K(z,u)) * (K(u,z) * v5))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). [para(11415(a,1),13378(a,1,3,2))]. 13390 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(4785(a,1),13380(a,1,3)),flip(a)]. 13391 L(x,y / z,K(y,z)) = x. [hyper(7756,a,13385,a)]. 13392 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13391(a,1),5908(a,1,2)),flip(a)]. 13393 L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). [para(12548(a,1),13386(a,1,3,1)),flip(a)]. 13394 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(286,a,13385,a(flip),b,13390,a),flip(a)]. 13395 L(x,K(y,z),K(y,u)) = x. [hyper(10924,a,13394,a),flip(a)]. 13396 L(x,y,K(z,u \ z)) = L(x,y,K(u,z)). [para(6955(a,1),13394(a,1,3)),flip(a)]. 13397 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(1145,a,13395,a),flip(a)]. 13398 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(62,a,6304,a(flip),b,13395,a)]. 13399 L(x,y,K(z,z * (u \ 1))) = L(x,y,K(u,z)). [para(5960(a,2),13396(a,1,3))]. 13400 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5851,a,13392,a)]. 13401 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [hyper(62,a,13378,a(flip),b,13399,a)]. 13402 L(L(x,y,z \ 1),(z \ 1) * y,K(u,z)) = L(x,y,T(z \ 1,u)). [hyper(7355,a,13401,a),flip(a)]. 13403 R(K(x,y),x \ y,z) = K(x,y). [hyper(9889,a,13400,a)]. 13404 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),13403(a,1,2))]. 13406 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(62,a,12394,a,b,13404,a)]. 13408 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13406(a,1),4659(a,2,2))]. 13409 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13406(a,1),12399(a,1,1))]. 13410 L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). [para(9171(a,1),13382(a,1,3,1))]. 13411 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(286,a,4659,a,b,13408,a),flip(a)]. 13412 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(9812,a,13411,a)]. 13413 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(12(a,1),13412(a,1,2,1,2))]. 13414 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(62,a,9749,a(flip),b,13413,a)]. 13415 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(286,a,4659,a(flip),b,13414,a)]. 13416 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(33,a,4659,a(flip),b,13415,a)]. 13417 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(9735,a,13416,a)]. 13418 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13416(a,1),8203(a,1,1,2))]. 13419 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13417(a,1),7241(a,1,1))]. 13420 (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(13397(a,1),11610(a,1,2))]. 13421 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(u,u \ 1)). [hyper(62,a,9914,a(flip),b,13398,a)]. 13422 L(x,y,K(z \ u,u) * w) = L(x,y,K(z,u \ 1) * w). [para(6461(a,1),13410(a,1,3,1)),flip(a)]. 13423 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,(u \ z) * u) * w). [para(10918(a,1),13410(a,1,3)),flip(a)]. 13424 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(9426,a,13418,a),flip(a)]. 13425 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(62,a,9443,a(flip),b,13424,a)]. 13426 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10207,a,13425,a)]. 13427 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13426(a,1),12714(a,1,2))]. 13428 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(62,a,7241,a(flip),b,13419,a),flip(a)]. 13429 L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). [hyper(11310,a,13402,a),flip(a)]. 13430 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(286,a,13417,a(flip),b,13409,a),flip(a)]. 13432 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),13430(a,2,2,2))]. 13433 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12939,a,13432,a)]. 13434 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3166(a,1),13421(a,2,2))]. 13435 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(286,a,5885,a(flip),b,13434,a),flip(a)]. 13436 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(9059(a,1),13435(a,2,2))]. 13437 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(4906,a,13436,a)]. 13438 (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(13437(a,1),4923(a,1,2,2))]. 13439 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,u * (u \ z)) * w). [para(5991(a,2),13423(a,2,3,1))]. 13440 L(x,y,K(z,u) * (a(u \ z,u,u \ z) \ w)) = L(x,y,K(u \ z,z) * w). [para(10(a,1),13439(a,2,3,1,2))]. 13441 L(x,y,K(z \ u,u) * w) = L(x,y,K(u,z) * w). [hyper(62,a,13383,a(flip),b,13440,a),flip(a)]. 13443 L(x,y,K(z,u \ 1) * w) = L(x,y,K(u,z) * w). [hyper(62,a,13422,a(flip),b,13441,a)]. 13444 (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [hyper(62,a,6302,a(flip),b,13388,a),flip(a)]. 13445 (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(8814(a,1),13444(a,1,1,1))]. 13446 (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). [para(3689(a,1),13445(a,1,2,1))]. 13448 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,11620,a(flip),b,13420,a)]. 13449 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(9389(a,1),13427(a,1,2)),flip(a)]. 13450 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(286,a,5719,a(flip),b,13449,a),flip(a)]. 13451 L(x,y \ z,x) = L(x,z / y,x). [hyper(62,a,10873,a(flip),b,13450,a)]. 13453 L(x,(y \ z) \ z,x) = L(x,y,x). [para(73(a,1),13451(a,2,2))]. 13454 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3565(a,2),13451(a,2,2)),flip(a)]. 13455 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4816(a,2),13451(a,2,2)),flip(a)]. 13457 L(x,y * K(z,y),x) = L(x,y,x). [para(6219(a,1),13453(a,1,2)),flip(a)]. 13458 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(6098(a,1),13457(a,1,2))]. 13459 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(62,a,13458,a(flip),b,13455,a),flip(a)]. 13460 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(13079,a,13459,a),flip(a)]. 13462 L(x,R(y,z,u),x) = L(x,y,x). [para(9(a,1),13460(a,2,2))]. 13463 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(14(a,2),13454(a,2,2))]. 13464 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(62,a,13462,a(flip),b,13463,a)]. 13466 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13464(a,1),13276(a,1,2))]. 13467 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(6306,a,13466,a)]. 13468 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13357(a,2),13467(a,1,1))]. 13469 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(11000,a,13468,a)]. 13470 a(x,a(y,z,u),x) = 1. [hyper(158,a,13469,a),flip(a)]. 13471 a(x,a(y,z,u),x) \ w = w. [para(13470(a,2),64(a,1,1))]. 13472 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(9198,a,13471,a)]. 13475 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(62,a,13340,a(flip),b,13472,a)]. 13476 a(x \ 1,x,K(y,z)) = 1. [hyper(286,a,10763,a(flip),b,13475,a),flip(a)]. 13477 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(13475(a,2),4659(a,2,2)),flip(a)]. 13478 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(13475(a,2),4663(a,1,2))]. 13479 x \ (a(y,z,K(x,u)) \ w) = T(x,a(y,z,u)) \ w. [para(13475(a,2),5732(a,1,2,1))]. 13480 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(13475(a,1),11032(a,2,1))]. 13481 L(K(x,y),z,z \ 1) = K(x,y). [hyper(51,a,13476,a)]. 13482 K(L(x,y,y \ 1),z) = K(x,z). [hyper(11808,a,13481,a)]. 13483 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11777,a,13481,a)]. 13484 K(x,((y \ 1) * z) \ 1) = K(x,z \ y). [hyper(9760,a,13481,a)]. 13487 (x \ 1) \ K(y,z) = x * K(y,z). [hyper(115,a,13481,a(flip),b,4913,a)]. 13488 (1 / x) \ K(y,z) = x * K(y,z). [hyper(115,a,13481,a(flip),b,3000,a)]. 13489 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(y,z \ 1) \ 1. [para(13481(a,1),7132(a,1,1)),flip(a)]. 13490 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(13481(a,1),11760(a,1,2)),flip(a)]. 13494 K((x \ 1) \ y,z) = K(x * y,z). [para(3013(a,1),13482(a,1,1)),flip(a)]. 13495 K((x \ 1) * y,z) = K(x \ y,z). [para(4914(a,1),13482(a,1,1))]. 13496 K(x,L(y,z,z \ x)) = K(x,y). [hyper(11816,a,13483,a)]. 13497 K(x,L(y,z \ x,z)) = K(x,y). [hyper(62,a,11833,a(flip),b,13483,a)]. 13498 K(x,(1 / y) * z) = K(x,y \ z). [para(3006(a,1),13483(a,1,2))]. 13499 K(x,L(y,z \ 1,z)) = K(x,y). [para(3011(a,1),13483(a,1,2))]. 13500 K(x,(y \ 1) \ z) = K(x,y * z). [para(3013(a,1),13483(a,1,2)),flip(a)]. 13501 K(x,(y \ 1) * z) = K(x,y \ z). [para(4914(a,1),13483(a,1,2))]. 13502 K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). [hyper(286,a,13483,a,b,13496,a)]. 13503 K(x * y,L(z,x,y)) = K(x * y,z). [para(9(a,1),13496(a,1,2,3))]. 13505 K(x * y,L(z,y,x)) = K(x * y,z). [para(9(a,1),13497(a,1,2,2))]. 13506 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(11766,a,13499,a)]. 13507 K(x,y * (z * (y \ 1))) = K(x,T(z,y)). [hyper(62,a,8631,a(flip),b,13499,a)]. 13508 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(556(a,1),13499(a,1,2)),flip(a)]. 13509 T(L(x,y \ 1,y),z) \ x = K(z,x) * a(y,y \ 1,x). [para(13499(a,1),5889(a,1,1)),flip(a)]. 13510 T(K(x,y) / (z \ 1),z \ 1) = z * K(x,y). [hyper(306,a,13487,a)]. 13512 (x \ 1) * K(y,z) = x \ K(y,z). [para(4893(a,1),13487(a,1,1)),flip(a)]. 13513 (x * (y \ 1)) \ K(z,u) = (y * (x \ 1)) * K(z,u). [para(6403(a,1),13487(a,1,1))]. 13514 ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). [para(6404(a,1),13487(a,1,1))]. 13515 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7266,a,13488,a),flip(a)]. 13517 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(286,a,7117,a(flip),b,13488,a),flip(a)]. 13519 (T(x,y) / z) \ x = z * K(y,x). [hyper(62,a,7268,a,b,13488,a)]. 13520 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(62,a,6446,a,b,13488,a)]. 13522 (x \ T(y,z)) \ (x \ y) = K(z,y). [hyper(115,a,7265,a(flip),b,13488,a(flip))]. 13525 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(13488(a,1),535(a,1))]. 13527 1 / (x * K(y,z)) = K(z,y) / x. [para(13488(a,1),6444(a,1,2))]. 13529 K(x * (y \ z),L(u,y \ z,y)) = K((y * (x \ 1)) \ z,u). [hyper(11763,a,13494,a),flip(a)]. 13530 K(x \ (y \ 1),z) = K(y * x,z \ 1). [hyper(6802,a,13494,a)]. 13531 K((x / y) * z,L(u,z,y \ 1)) = K((x \ 1) \ ((y \ 1) * z),u). [hyper(62,a,11835,a(flip),b,13494,a),flip(a)]. 13532 K(x \ ((y \ 1) \ z),x) = K(y * (x \ z),x). [hyper(62,a,10582,a(flip),b,13494,a)]. 13533 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(62,a,10226,a(flip),b,13494,a)]. 13534 K(x / (y \ 1),z) = K(x * y,z). [hyper(62,a,6435,a(flip),b,13494,a)]. 13537 K((x * K(y,x \ 1)) \ z,u) = K(T(x \ 1,y) * z,u). [para(5712(a,1),13494(a,1,1,1))]. 13538 K((x * (y \ 1)) \ z,u) = K((y * (x \ 1)) * z,u). [para(6403(a,1),13494(a,1,1,1))]. 13539 K(((x \ 1) * y) \ z,u) = K(((y \ 1) * x) * z,u). [para(6404(a,1),13494(a,1,1,1))]. 13540 K(((x \ 1) \ y) \ z,u) = K(((y \ 1) / x) * z,u). [para(6425(a,1),13494(a,1,1,1))]. 13542 x * (y * K(x * y,z)) = T(x * y,z). [para(13494(a,1),6799(a,1,2,2))]. 13543 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13494(a,1),7010(a,1,1,2))]. 13546 K(x * ((x \ 1) * y),z) != u | K(y,z) = u. [para(13494(a,1),7510(a,1))]. 13547 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13494(a,1),10159(a,1,1,2))]. 13548 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(286,a,8964,a,b,13495,a),flip(a)]. 13549 K((x \ a(y,z,y)) * u,w) = K(x \ u,w). [hyper(62,a,13176,a,b,13495,a)]. 13550 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(10(a,1),13495(a,1,1)),flip(a)]. 13551 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(13495(a,1),8882(a,1))]. 13553 K(x,((y \ 1) * x) \ z) = K(x,y * (x \ z)). [hyper(9926,a,13500,a)]. 13554 K(x,y * (z \ 1)) = K(x,y / z). [hyper(7039,a,13500,a),flip(a)]. 13555 K(x,(y * (z \ 1)) \ u) = K(x,(z * (y \ 1)) * u). [para(6403(a,1),13500(a,1,2,1))]. 13556 K(x,(y / (z \ 1)) \ u) = K(x,(z \ (y \ 1)) * u). [para(6410(a,1),13500(a,1,2,1))]. 13558 K(x,y * z) != u | K(x,y / (z \ 1)) = u. [para(13500(a,1),7038(a,1))]. 13559 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(13500(a,1),7039(a,1))]. 13560 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(13500(a,1),8621(a,1))]. 13561 (x * y) * K(z,x * y) = x * (y * K(z,x * y)). [para(13500(a,1),9963(a,1,2,2)),flip(a)]. 13565 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,T(y \ z,y) \ u). [hyper(62,a,13135,a,b,13501,a)]. 13566 K(x,(y * ((z * y) \ 1)) * u) = K(x,R(z,y,y \ 1) \ u). [para(6412(a,1),13501(a,1,2,1))]. 13567 K(x,(y \ 1) * z) != u | K(x,(z \ y) \ 1) = u. [para(13501(a,2),6737(a,1))]. 13568 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13501(a,1),8886(a,1))]. 13570 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(62,a,6402,a,b,13512,a)]. 13571 x \ K(y,L(z,u,u \ (x \ 1))) = ((x \ 1) / u) * (u * K(y,z)). [hyper(62,a,11852,a(flip),b,13512,a),flip(a)]. 13572 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. [hyper(62,a,6441,a(flip),b,13512,a),flip(a)]. 13579 (x \ K(x,y)) * K(z,u) = K(x,y) * (x \ K(z,u)). [para(13512(a,1),6460(a,1,2)),flip(a)]. 13580 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13512(a,1),6895(a,1,1))]. 13581 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(13512(a,1),6902(a,1,1))]. 13582 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(x,y)). [para(13512(a,1),8119(a,1,2))]. 13583 (L(T(x,y),z \ 1,z) \ x) * K(x,y) = a(z,z \ 1,T(x,y)). [hyper(286,a,713,a(flip),b,13515,a),flip(a)]. 13584 x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). [hyper(286,a,279,a(flip),b,13515,a)]. 13587 x / (y * K(z,x)) = T(x,z) / y. [hyper(182,a,13519,a)]. 13588 R(x \ 1,x,T(y,z)) \ y = (x * T(y,z)) * K(z,y). [para(4900(a,2),13519(a,1,1))]. 13589 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(6937(a,1),13519(a,1,1)),flip(a)]. 13590 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(6439,a,13520,a),flip(a)]. 13591 (x * K(y,z)) \ 1 = K(z,y) / x. [hyper(4906,a,13520,a)]. 13592 ((K(x,y) / z) * u) \ 1 = (u \ 1) * (z * K(y,x)). [para(13520(a,1),6394(a,1,2)),flip(a)]. 13593 (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). [para(13520(a,1),6403(a,1,1,2))]. 13594 ((x * K(y,z)) * u) \ 1 = (u \ 1) * (K(z,y) / x). [para(13520(a,1),6404(a,1,1,1))]. 13595 (x \ 1) \ ((K(y,z) / u) * (w \ 1)) = ((w * (u * K(z,y))) / x) \ 1. [para(13520(a,1),6436(a,1,1,1,2)),flip(a)]. 13597 K(x,K(y,(K(z,u) / w) * v5)) * K(x,y * (v5 \ (w * K(u,z)))) = K(x,(v5 \ ((K(z,u) / w) \ 1)) * y). [para(13520(a,1),12193(a,1,2,2,2,2))]. 13599 (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). [para(22(a,2),13522(a,1,2))]. 13602 K((x \ 1) / y,z) = K(y * x,z \ 1). [hyper(6478,a,13534,a)]. 13603 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K((((u \ 1) / x) * y) * u,z). [hyper(62,a,11877,a,b,13534,a)]. 13604 K(x / (1 / y),z) = K(x * y,z). [hyper(62,a,5809,a(flip),b,13534,a)]. 13605 K(x * (1 / y),z) = K(x / y,z). [para(76(a,1),13534(a,1,1,2)),flip(a)]. 13606 K(x * (y \ 1),z) = K(x / y,z). [para(4893(a,1),13534(a,1,1,2)),flip(a)]. 13608 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(y * T(x,y),x \ 1) * (y \ z). [para(13534(a,1),11597(a,2,1))]. 13612 K(x,y * (1 / z)) = K(x,y / z). [hyper(8998,a,13554,a)]. 13613 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(5671(a,1),13554(a,1,2)),flip(a)]. 13614 K(x,y / (z * (u \ 1))) = K(x,y * (u * (z \ 1))). [para(6403(a,1),13554(a,1,2,2)),flip(a)]. 13615 K(x,y / (z / (u \ 1))) = K(x,y * (u \ (z \ 1))). [para(6422(a,1),13554(a,1,2,2)),flip(a)]. 13616 K(x,y * (z * ((u * z) \ 1))) = K(x,y / R(u,z,z \ 1)). [para(6412(a,1),13554(a,1,2,2))]. 13617 K(x,y * (((z \ 1) * u) * (w \ 1))) = K(x,y / (w * ((u \ 1) * z))). [para(6419(a,1),13554(a,1,2,2))]. 13619 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(13554(a,1),8887(a,1))]. 13620 (x \ K(y,z)) \ 1 = K(z,y) * x. [hyper(4906,a,13570,a)]. 13621 K(x,y) * (1 / z) = K(x,y) / z. [hyper(38,a,6446,a,b,13570,a),flip(a)]. 13625 ((K(x,y) * z) * u) \ 1 = (u \ 1) * (z \ K(y,x)). [para(13570(a,1),6394(a,1,2)),flip(a)]. 13626 (x \ (K(y,z) * u)) \ 1 = (u \ K(z,y)) / (x \ 1). [para(13570(a,1),6395(a,1,1)),flip(a)]. 13627 (x * (y \ K(z,u))) \ 1 = (K(u,z) * y) * (x \ 1). [para(13570(a,1),6403(a,1,1,2))]. 13628 (x / (y \ K(z,u))) \ 1 = (K(u,z) * y) \ (x \ 1). [para(13570(a,1),6422(a,1,1,2))]. 13629 (x \ 1) * ((y \ 1) \ (K(z,u) * w)) = (((w \ K(u,z)) / y) * x) \ 1. [para(13570(a,1),6426(a,1,1,1,1)),flip(a)]. 13630 (K(x,y) * z) \ K(u,w) = (z \ K(y,x)) * K(u,w). [para(13570(a,1),13512(a,1,1)),flip(a)]. 13631 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(13570(a,1),13554(a,1,2,2)),flip(a)]. 13632 T(x,y) / (z / T(y,x)) = x / (z / y). [para(6861(a,1),13587(a,1,2)),flip(a)]. 13633 T(x,y) / (z * K(x,y)) = x / z. [para(6883(a,1),13587(a,1,2)),flip(a)]. 13634 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(380,a,13590,a)]. 13635 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4695(a,2),13590(a,1,2)),flip(a)]. 13636 K(x,y) * (z \ 1) = K(x,y) / z. [para(4893(a,1),13590(a,1,2)),flip(a)]. 13637 K(x,y) * (z * K(u,z \ 1)) = K(x,y) / T(z \ 1,u). [para(6606(a,1),13590(a,1,2)),flip(a)]. 13639 L(L(x \ 1,y,z),x,K(u,w)) = L(x \ 1,y,z). [para(13634(a,1),30(a,1,1)),flip(a)]. 13643 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(13604(a,1),10290(a,2,2))]. 13644 K(x * (1 / y),z) = z / T(z,x / y). [hyper(286,a,4617,a(flip),b,13605,a),flip(a)]. 13645 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(286,a,8195,a,b,13606,a),flip(a)]. 13646 K(x * (((y \ 1) * z) * (u \ 1)),w) = K(x / (u * ((z \ 1) * y)),w). [para(6419(a,1),13606(a,1,1,2))]. 13647 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(13606(a,1),8883(a,1))]. 13648 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). [hyper(62,a,12138,a,b,13612,a)]. 13649 K(x,y) * (K(y,x) / z) = z \ 1. [para(76(a,1),13620(a,1,1)),flip(a)]. 13651 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(4807(a,1),13621(a,1,2))]. 13652 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13621(a,1),7894(a,1,1))]. 13653 (x / y) * (y * K(x,z)) = T(x,z). [hyper(129,a,13633,a)]. 13655 K(x,T(y,z)) * (z \ 1) = z \ K(x,y). [hyper(286,a,12179,a(flip),b,13636,a),flip(a)]. 13656 K(x,y) * (((z * u) \ 1) * z) = K(x,y) / L(u,z,z \ 1). [para(6418(a,1),13636(a,1,2))]. 13657 T(x,L(y,z,z \ x)) = T(x,y). [hyper(11861,a,13653,a)]. 13659 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(115,a,13653,a(flip),b,11475,a)]. 13660 T(x * y,L(z,x,y)) = T(x * y,z). [para(9(a,1),13657(a,1,2,3))]. 13662 (K(x * K(y,x),y) * z) \ x = z \ (x * K(y,x)). [para(4635(a,1),13659(a,1,2))]. 13663 (K(x,y) \ z) \ T(y,x) = z \ y. [para(5839(a,2),13659(a,1,1))]. 13664 (K(x,y) * z) \ y = z \ T(y,x). [para(5846(a,1),13659(a,1,1)),flip(a)]. 13669 (K(x,y) \ z) \ (y * x) = z \ (x * y). [hyper(62,a,13446,a(flip),b,13663,a)]. 13671 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(4730,a,13490,a),flip(a)]. 13674 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(62,a,4389,a(flip),b,13671,a)]. 13676 T(x,L(y,z \ 1,z)) = T(x,y). [para(3011(a,1),13671(a,1,2))]. 13677 T(x,(y \ 1) \ z) = T(x,y * z). [para(3013(a,1),13671(a,1,2)),flip(a)]. 13679 K(T(x,y) * L(y,z,z \ 1),u) != w | K(L(y,z,z \ 1) * x,u) = w. [para(13671(a,1),12127(a,1,1,1))]. 13680 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [para(556(a,1),13676(a,1,2)),flip(a)]. 13684 T(x,y \ ((y \ 1) \ z)) = T(x,z). [para(10(a,1),13674(a,1,2)),flip(a)]. 13685 ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). [para(13674(a,1),108(a,1,2))]. 13687 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [para(6394(a,1),13674(a,1,2))]. 13688 T(x,((y \ 1) * K(z,u)) * w) = T(x,(K(u,z) * y) \ w). [para(6402(a,1),13674(a,1,2,1))]. 13689 ((x \ 1) * y) * K(z,T(u,x \ y)) = K(z,u) * ((x \ 1) * y). [para(13674(a,1),7736(a,1,2,2))]. 13690 K(x,T(y,z \ u)) * ((z \ 1) * u) = ((z \ 1) * u) * K(x,y). [para(13674(a,1),8146(a,1,1,2))]. 13692 T(x,((y \ 1) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(13047(a,2),13674(a,1,2))]. 13693 T(((x \ 1) \ y) \ 1,x * y) = ((x \ 1) \ y) \ 1. [hyper(4909,a,13677,a),flip(a)]. 13695 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(13677(a,1),9811(a,1))]. 13696 K(x * y,T((y * x) \ z,u)) = K(x * y,T(x \ (y \ z),u)). [para(505(a,1),13503(a,1,2))]. 13697 K(x * y,(x * y) \ z) = K(x * y,y \ (x \ z)). [para(268(a,1),13505(a,1,2))]. 13698 K(x,1 / ((y \ 1) * z)) = K(x,z \ y). [hyper(6225,a,13484,a)]. 13701 K(x,y \ (T(z,y) \ 1)) = K(x,(y * z) \ 1). [hyper(12150,a,13506,a),flip(a)]. 13702 K(L(x,y,z),u \ (w \ 1)) = K(x,L((w * u) \ 1,y,z)). [hyper(11807,a,13506,a),flip(a)]. 13703 K(x \ y,z \ (u \ 1)) != w | K(y \ x,u * z) = w. [para(13506(a,1),6802(a,1))]. 13704 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(13506(a,1),8384(a,1,2))]. 13705 T(x,K(y,z \ (u \ 1))) != w | T(x,K(y,u * z)) = w. [para(13506(a,1),8411(a,1,2))]. 13706 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(T(x,y),x \ (y \ 1)). [para(13506(a,1),12209(a,2,2))]. 13708 K(x,(y \ R(y,z,u)) * (w * (R(y,z,u) \ y))) = K(x,T(w,y \ R(y,z,u))). [para(6203(a,1),13507(a,1,2,2,2))]. 13709 K(L(x,y,(z \ 1) / (y * x)),u) = K(z * (((z \ 1) / (y * x)) * y),u \ 1). [para(97(a,2),13530(a,1,1))]. 13710 K(((x \ 1) \ y) * z,u \ 1) = K(z \ ((y \ 1) / x),u). [para(6411(a,1),13530(a,1,1,2)),flip(a)]. 13711 K(((x \ 1) / y) * z,u \ 1) = K(z \ ((y \ 1) \ x),u). [para(6425(a,1),13530(a,1,1,2)),flip(a)]. 13712 K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (((y * x) \ 1) * y),u). [para(6418(a,1),13530(a,1,1,2)),flip(a)]. 13713 (K(x * y,z \ 1) * u) \ 1 = u \ K(z,y \ (x \ 1)). [para(13530(a,1),13570(a,1,1,1))]. 13714 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11839,a,13542,a)]. 13715 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13714(a,1),427(a,1,2)),flip(a)]. 13716 K(x * ((y \ 1) \ z),u \ 1) = K(((z \ 1) / y) / x,u). [para(6411(a,1),13602(a,1,1,1)),flip(a)]. 13717 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(110(a,1),13632(a,1,2,2))]. 13718 T(x,y * (1 / z)) = T(x,y / z). [hyper(4677,a,13644,a)]. 13719 T(x,y * (z \ 1)) = T(x,y / z). [hyper(6094,a,13718,a)]. 13720 T(x,y / (1 / z)) = T(x,y * z). [hyper(62,a,4382,a(flip),b,13718,a),flip(a)]. 13721 T(x,y / (z \ 1)) = T(x,y * z). [para(73(a,1),13718(a,1,2,2)),flip(a)]. 13723 T(x,T(y \ z,z)) = T(x,z * (y \ 1)). [hyper(286,a,8334,a,b,13719,a)]. 13724 T(x,(y / (z \ 1)) / z) = T(x,y). [para(12(a,1),13719(a,1,2)),flip(a)]. 13725 T(x,y / (K(z,u) * w)) = T(x,y * (w \ K(u,z))). [para(13570(a,1),13719(a,1,2,2)),flip(a)]. 13727 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,8597,a(flip),b,13720,a),flip(a)]. 13728 K((x / (y \ 1)) * z,T(u,x * y)) = K(z * (x / (y \ 1)),u). [para(13721(a,1),12087(a,1,2))]. 13730 (K(x,y) * z) \ (x * y) = z \ (y * x). [para(9(a,1),13669(a,1,1)),flip(a)]. 13731 ((x * y) \ 1) * T(z,y \ (x \ 1)) = z * ((x * y) \ 1). [para(13687(a,1),108(a,1,2))]. 13732 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ T((x \ 1) \ y,y \ (x \ 1)). [para(13687(a,1),930(a,2,2))]. 13733 K(x,1 / ((1 / y) * z)) = K(x,z \ y). [hyper(6529,a,13698,a)]. 13735 (K(x,y) * (z \ 1)) * K(u,w) != v5 | (z * K(y,x)) \ K(u,w) = v5. [para(6401(a,1),13525(a,1,1))]. 13736 (K(x,y) * z) * K(u,w) != v5 | (z \ K(y,x)) \ K(u,w) = v5. [para(13620(a,1),13525(a,1,1))]. 13740 K(x \ y,z) != u | K((x \ 1) * y,z) = u. [para(4893(a,1),13551(a,1,1,1))]. 13741 K((x * (y \ 1)) \ z,u) != w | K((y * (x \ 1)) * z,u) = w. [para(6403(a,1),13551(a,1,1,1))]. 13743 K(L(x \ 1,y,z \ 1) \ u,w) != v5 | K(R(x,y \ 1,z) * u,w) = v5. [para(6676(a,2),13551(a,1,1,1))]. 13744 K(R(x \ 1,y,z \ 1) \ u,w) != v5 | K(L(x,y \ 1,z) * u,w) = v5. [para(6681(a,2),13551(a,1,1,1))]. 13745 K((K(x,y) / z) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. [para(13591(a,1),13551(a,1,1,1))]. 13749 K(x,(y * z) \ 1) != u | K(x,z \ (y \ 1)) = u. [para(6394(a,1),13560(a,1,2))]. 13750 K(x,(y * ((z * y) \ 1)) * u) != w | K(x,R(z,y,y \ 1) \ u) = w. [para(6412(a,1),13560(a,1,2,1))]. 13751 K(x,(y * (z \ 1)) \ u) != w | K(x,(z * (y \ 1)) * u) = w. [para(6403(a,1),13568(a,1,2,1))]. 13752 K(x,((y \ 1) * z) \ u) != w | K(x,((z \ 1) * y) * u) = w. [para(6404(a,1),13568(a,1,2,1))]. 13753 K(x,((y \ 1) \ z) \ u) != w | K(x,((z \ 1) / y) * u) = w. [para(6425(a,1),13568(a,1,2,1))]. 13755 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11450(a,2),13568(a,1))]. 13756 K(x,y / (x * (z \ 1))) = K(x,(x \ y) * z). [hyper(13619,a,9717,a),flip(a)]. 13757 K(x,y / (z * (u \ 1))) != w | K(x,y * (u * (z \ 1))) = w. [para(6403(a,1),13619(a,1,2,2))]. 13758 K(x,y / (z / (u \ 1))) != w | K(x,y * (u \ (z \ 1))) = w. [para(6410(a,1),13619(a,1,2,2))]. 13759 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(13620(a,1),13619(a,1,2,2))]. 13760 K(x / y,z) != u | K(x * (y \ 1),z) = u. [para(4893(a,1),13647(a,1,1,2))]. 13761 K(x \ y,L(T(z,u),x,x \ (u \ 1))) != w | K((((u \ 1) / x) * y) * u,z) = w. [para(11877(a,2),13647(a,1))]. 13762 K(x / (K(y,z) * u),w) != v5 | K(x * (u \ K(z,y)),w) = v5. [para(13620(a,1),13647(a,1,1,2))]. 13764 T(x,(K(y,z) * (u \ 1)) * w) != v5 | T(x,(u * K(z,y)) \ w) = v5. [para(6401(a,1),13695(a,1,2,1))]. 13767 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8146(a,1),13715(a,2,1,2)),flip(a)]. 13768 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(13605(a,2),13760(a,1))]. 13769 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(7904,a,13480,a),flip(a)]. 13770 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(286,a,13331,a,b,13769,a)]. 13771 K(a(x,y,z),y) = 1. [hyper(62,a,6699,a(flip),b,13769,a),flip(a)]. 13772 (x * a(y,z,K(u,x))) \ w = K(x,a(y,z,u)) * (x \ w). [para(13769(a,2),6004(a,1,1,2))]. 13773 (x * a(y,z,K(u,w))) \ 1 = K(w,a(y,z,u)) * (x \ 1). [para(13769(a,2),6401(a,1,1,2))]. 13775 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(13502(a,2),10625(a,1))]. 13777 K(L(x,y,y \ 1),z) != u | K(x,z) = u. [para(11780(a,2),13775(a,1))]. 13778 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(4914(a,1),13777(a,1,1))]. 13779 K(K(x,y) * (((x \ y) \ 1) * z),u) != w | K(T(x \ y,x) \ z,u) = w. [para(13164(a,2),13778(a,1))]. 13780 K((x \ a(y,z,y)) * u,w) != v5 | K(x \ u,w) = v5. [para(13176(a,2),13778(a,1))]. 13781 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(62,a,12746,a(flip),b,13508,a)]. 13782 K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). [para(4893(a,1),13508(a,1,2,1,1)),flip(a)]. 13783 T(K(x,y) * z,z \ 1) = z * K(x,y). [para(13590(a,1),13510(a,1,1))]. 13784 T(K(x,y) * (z \ u),u \ z) = (z \ u) * K(x,y). [hyper(6747,a,13783,a)]. 13785 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(13517(a,1),7123(a,2,1))]. 13786 T(x \ 1,K(y,z)) * K(x \ K(z,y),u) != w | K(y,z) * T(x \ K(z,y),u) = w. [para(13582(a,1),6868(a,1,1))]. 13787 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13652(a,1),11148(a,1,1))]. 13788 K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). [hyper(286,a,13506,a(flip),b,13701,a),flip(a)]. 13789 K(x,T((y * z) \ 1,u)) = K(x,T(z \ (y \ 1),u)). [para(6394(a,1),13782(a,1,2,1))]. 13790 K(x,((y \ z) \ u) \ (((y * u) \ z) \ 1)) = K(x,((y * u) \ z) \ (((y \ z) \ u) \ 1)). [para(6752(a,1),13788(a,1,2,2,1))]. 13791 x * 1 != y | T(x,a(z,u,x)) = y. [para(422(a,1),13478(a,1,2))]. 13792 T(x,a(y,z,x)) = x. [hyper(13791,a,8,a)]. 13793 (x * a(y,z,x)) / x = a(y,z,x). [para(13792(a,1),174(a,1,2))]. 13794 ((K(x,L(y,z,z \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). [para(11852(a,1),13514(a,1,1)),flip(a)]. 13795 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / (z * K(y,x))) * z) \ K(w,v5). [para(11973(a,1),13514(a,1,1)),flip(a)]. 13796 K((x * (y \ 1)) * z,u \ 1) != w | K(z \ (y * (x \ 1)),u) = w. [para(13538(a,1),6802(a,1))]. 13797 K((x * (K(y,z) \ 1)) \ (K(z,T(y,x \ 1)) * u),w) = K(((x \ 1) * K(y,z)) * (K(z,y) * u),w). [para(11415(a,1),13538(a,2,1))]. 13798 K(((x * K(y,z)) * (u \ 1)) * w,v5) = K((u * (K(z,y) / x)) \ w,v5). [para(13591(a,1),13538(a,1,1,1,2)),flip(a)]. 13799 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((K(z,T(y,u)) * x) \ w,v5). [para(7782(a,1),13539(a,1,1,1,1)),flip(a)]. 13800 K(x,K(y,((z \ 1) * u) * w)) * x = T(x,K(((u \ 1) * z) \ w,y)). [para(13539(a,2),8095(a,2,2))]. 13801 K(((x \ 1) * (K(y,z) / u)) * w,v5) = K(((u * K(z,y)) * x) \ w,v5). [para(13520(a,1),13539(a,1,1,1,1)),flip(a)]. 13802 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((K(u,z) * y) * x) \ w,v5). [para(13620(a,1),13539(a,1,1,1,1)),flip(a)]. 13803 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(34,a,4577,a(flip),b,13547,a),flip(a)]. 13804 K(x \ 1,(x \ 1) \ (y \ z)) = K(x \ 1,(x * (y \ 1)) * z). [hyper(10627,a,13555,a)]. 13805 K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y / (z \ 1))). [hyper(7005,a,13556,a)]. 13806 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(11836,a,13561,a)]. 13808 x * ((y / x) * K(z,x * (y / x))) = (x * (y / x)) * K(z,T(y,x)). [para(12081(a,1),13561(a,1,2)),flip(a)]. 13809 K(L(x,y,z),z * y) = K(x,z * y). [hyper(11796,a,13806,a)]. 13810 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(13806(a,1),11792(a,1,1))]. 13811 K(x,y \ 1) * (x \ K(z,u)) = T(x \ 1,y) * K(z,u). [para(6464(a,1),13579(a,1,1)),flip(a)]. 13812 T(x,y * ((z \ 1) * (K(u,w) / v5))) = T(x,y / ((v5 * K(w,u)) * z)). [para(13594(a,1),13719(a,1,2,2))]. 13813 K(x,y * (z * (x \ 1))) = K(x,(x \ y) * z). [hyper(62,a,13756,a(flip),b,13614,a),flip(a)]. 13814 K(x,y * (L(z,u,w) * (z \ 1))) = K(x,y / (L(z,u,w) \ z)). [para(1237(a,1),13614(a,1,2,2)),flip(a)]. 13815 K(x,T((y / (z \ 1)) \ u,y / (z \ 1))) = K(x,u * (z \ (y \ 1))). [hyper(62,a,8169,a,b,13615,a)]. 13816 K(x \ 1,(K(y,z) * u) * w) = K(x,(w \ 1) * (u \ K(z,y))). [para(13625(a,1),6458(a,2,2))]. 13817 K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x / ((K(w,u) * z) * y),v5). [para(13625(a,1),13606(a,1,1,2))]. 13818 K(x,T(y,(K(z,u) * w) * (v5 \ 1))) != v6 | K(x,T(y,v5 * (w \ K(u,z)))) = v6. [para(13627(a,1),8478(a,1,2,2))]. 13819 K(x,((K(y,z) * u) * (w \ 1)) * v5) != v6 | K(x,(w * (u \ K(z,y))) \ v5) = v6. [para(13627(a,1),13560(a,1,2,1))]. 13820 T(x,K(y,z \ ((K(u,w) * v5) \ (v6 \ 1)))) = T(x,K(y,(v6 / (v5 \ K(w,u))) * z)). [para(13628(a,1),11885(a,1,2,2,2))]. 13821 K(x,(x \ y) * K(z,u)) = K(x,y * (x \ K(z,u))). [hyper(62,a,9726,a(flip),b,13631,a)]. 13822 K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). [para(5741(a,1),13631(a,1,2,2)),flip(a)]. 13823 (K(x,y) * z) \ x = z \ (x * K(y,x)). [para(4784(a,1),13662(a,1,1,1))]. 13824 T(x,K(y,z)) \ (y * K(z,y)) = (x * K(y,z)) \ y. [para(108(a,1),13823(a,1,1)),flip(a)]. 13827 T(((x \ 1) \ y) \ 1,x * y) = (y \ 1) / x. [hyper(286,a,6411,a(flip),b,13693,a),flip(a)]. 13828 T((x \ 1) / y,y * x) = (x \ 1) / y. [para(6411(a,1),13827(a,1,1))]. 13829 ((x \ 1) / y) * (y * x) = (y * x) * ((x \ 1) / y). [para(13828(a,1),108(a,1,2)),flip(a)]. 13830 x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. [para(13717(a,1),3973(a,1,2))]. 13831 T(x,y / T(K(z,u) * w,y)) = T(x,T(y,K(z,u) * w) * (w \ K(u,z))). [para(3926(a,1),13725(a,1,2))]. 13832 K(x,(y / (K(z,u) * w)) \ T(v5,y * (w \ K(u,z)))) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. [para(13725(a,1),13155(a,1,2,2))]. 13833 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(62,a,6777,a(flip),b,13727,a),flip(a)]. 13834 K(x \ y,T(z \ (u \ 1),w)) = K(y \ x,T(u * z,w)). [hyper(7975,a,13789,a),flip(a)]. 13835 ((((x \ 1) / y) * y) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [hyper(62,a,172,a,b,13829,a)]. 13836 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13830(a,1),2609(a,1,1))]. 13837 R(x \ 1,x,T(y,z)) \ y = x * y. [hyper(286,a,6610,a(flip),b,13588,a),flip(a)]. 13839 K(x,K(y,(z \ 1) \ u)) != w | K(x,K(y,z * u)) = w. [para(8399(a,1),13704(a,1))]. 13840 T(x,K(y,(z \ 1) \ u)) != w | T(x,K(y,z * u)) = w. [para(8413(a,1),13705(a,1))]. 13841 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(115,a,13810,a(flip),b,11380,a)]. 13845 L(T(x,y),z \ 1,z) \ x = K(y,x) * a(z,z \ 1,x). [para(25(a,2),13509(a,1,1))]. 13847 K(K(x,y \ 1) * (x \ z),u) = K(T(x \ 1,y) * z,u). [para(6467(a,1),13537(a,1,1))]. 13848 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13548(a,1),11617(a,1,1))]. 13849 K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(4118(a,2),13648(a,1,1))]. 13850 K(x,L((y * z) \ 1,u,w)) = K(x,L(z \ (y \ 1),u,w)). [hyper(11807,a,13702,a),flip(a)]. 13851 (x * K(x * y,z \ 1)) \ 1 = x \ K(z,x \ (y \ 1)). [para(12092(a,1),13713(a,1,1))]. 13852 T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u * ((y * z) \ 1)). [para(13731(a,1),13674(a,1,2)),flip(a)]. 13854 (x * ((y * z) \ 1)) * T(u,(y * z) \ T(x,z \ (y \ 1))) = u * (((y * z) \ 1) * T(x,z \ (y \ 1))). [para(13731(a,1),13685(a,1,1))]. 13856 K(K(x,y) * z,T(u \ (w \ 1),v5)) = K(z \ K(y,x),T(w * u,v5)). [para(5839(a,1),13834(a,1,1))]. 13857 K(x \ y,L(x \ (z \ 1),x,z)) = K((z * y) / (z * x),(z * x) \ 1). [hyper(11937,a,13850,a),flip(a)]. 13858 K(x * (y \ z),L(u,y \ z,y)) = K((x * (y \ 1)) * z,u). [hyper(286,a,13538,a(flip),b,13529,a),flip(a)]. 13860 (x * K(R(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). [hyper(286,a,6895,a,b,13566,a)]. 13861 ((K(x,y) * ((z * u) \ 1)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). [hyper(62,a,172,a,b,13656,a)]. 13862 K(x * (y \ z),L(u,y \ z,y)) != w | K((x * (y \ 1)) * z,u) = w. [para(13529(a,2),13741(a,1))]. 13863 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(u,z) * (y \ 1)) * w) = v5. [para(4781(a,1),13751(a,1,2,1,2))]. 13864 K(x,((x \ 1) * y) * z) = K(x,y * (x \ z)). [hyper(13752,a,13553,a)]. 13865 K(x \ K(y,z * (y \ u)),((y \ 1) * z) * u) != w | K(x,(((y \ 1) * z) * u) \ 1) = w. [para(13864(a,1),9024(a,1,1,2))]. 13867 K(x,y / (z / (K(u,w) * v5))) != v6 | K(x,y * ((v5 \ K(w,u)) \ (z \ 1))) = v6. [para(13620(a,1),13758(a,1,2,2,2))]. 13868 K((K(x,y) * z) / u,w) != v5 | K(u * (z \ K(y,x)),w \ 1) = v5. [para(6457(a,1),13762(a,1))]. 13869 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z \ 1,y) * 1. [hyper(286,a,5839,a(flip),b,13489,a),flip(a)]. 13871 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(K(z,u \ 1) * x,w \ 1). [para(13489(a,2),13530(a,1,1,2))]. 13872 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(13551,a,13533,a),flip(a)]. 13873 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(286,a,9590,a(flip),b,13872,a),flip(a)]. 13874 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(62,a,12611,a,b,13873,a)]. 13876 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13874(a,1),7478(a,1,1,1))]. 13877 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(62,a,9613,a(flip),b,13876,a),flip(a)]. 13879 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(12(a,1),13877(a,1,3,2)),flip(a)]. 13880 (K(x,y) * a(z,z \ 1,y)) * K(y,x) = a(z,z \ 1,T(y,x)). [para(13845(a,1),13583(a,1,1))]. 13881 K(x,T(y,(K(z,u) / w) \ (K(z,u) * v5))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). [para(12185(a,1),13690(a,1,1,2,2))]. 13882 T(x,y \ (a(z,u,z) * w)) = T(x,(y \ a(z,u,z)) * w). [para(12987(a,1),13692(a,1,2,1)),flip(a)]. 13883 T(x,(y \ a(z,u,z)) * w) = T(x,y \ w). [hyper(13138,a,13882,a),flip(a)]. 13885 K(x,K((y / (z \ 1)) * u,T((u * (y / (z \ 1))) \ w,y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13728(a,2),13131(a,1,2,1))]. 13886 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10656(a,1),13803(a,1,2))]. 13887 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),13886(a,1,2,1))]. 13889 (x \ (y * z)) / T(y,z) = (x \ (z * y)) / y. [hyper(116,a,13887,a(flip),b,6822,a)]. 13890 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(171(a,1),13887(a,1,1)),flip(a)]. 13891 ((x * y) / z) \ (y * x) != u | z * K(y,x) = u. [para(13887(a,1),571(a,1))]. 13894 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(286,a,6811,a(flip),b,13890,a),flip(a)]. 13895 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(182,a,13894,a),flip(a)]. 13896 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,((x * (y \ 1)) * z) \ 1). [hyper(286,a,6458,a(flip),b,13804,a),flip(a)]. 13897 T(x,(y * z) \ T(u,z \ (y \ 1))) = T(x,u / (y * z)). [hyper(286,a,13719,a(flip),b,13852,a),flip(a)]. 13898 T(x,(y * z) \ T(z,z \ (y \ 1))) = T(x,y \ 1). [hyper(286,a,4139,a(flip),b,13897,a),flip(a)]. 13899 ((x / (T(y \ 1,z) \ 1)) \ 1) * (x / y) = K(z,y \ 1) * 1. [hyper(286,a,6462,a(flip),b,13869,a),flip(a)]. 13900 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13879(a,1),10970(a,2,2))]. 13901 T(a(x,x \ 1,y),K(z,y)) = a(x,x \ 1,T(y,z)). [hyper(8245,a,13880,a)]. 13902 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(62,a,10761,a(flip),b,13901,a),flip(a)]. 13904 a(x,x \ 1,y \ z) = a(x,x \ 1,z / y). [para(110(a,1),13902(a,1,3))]. 13905 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(z \ 1) * (y * (x \ 1))). [para(6416(a,1),13896(a,2,2))]. 13906 ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)) * 1. [para(13506(a,1),13899(a,2,1))]. 13907 K(x \ 1,(x \ 1) \ (y \ z)) = K(x,(x \ (z \ 1)) * y). [hyper(286,a,13813,a(flip),b,13905,a),flip(a)]. 13908 K(x \ 1,x * (y \ z)) = K(x,(x \ (z \ 1)) * y). [hyper(13568,a,13907,a)]. 13909 K(x,(x * (y \ z)) \ 1) = K(x,(x \ (z \ 1)) * y). [hyper(6476,a,13908,a)]. 13910 K(x,x \ ((y \ z) \ 1)) = K(x,(x \ (z \ 1)) * y). [hyper(10650,a,13909,a)]. 13911 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,(x \ (z \ 1)) * y). [hyper(62,a,9219,a,b,13910,a)]. 13912 K((x / y) * z,L(u,z,y \ 1)) = K(x * ((y \ 1) * z),u). [hyper(286,a,13494,a(flip),b,13531,a),flip(a)]. 13913 K((x / y) * z,L(u,z,y \ 1)) != w | K(x * ((y \ 1) * z),u) = w. [para(13531(a,2),13551(a,1))]. 13914 K(x,y) * (((y \ 1) / z) * (z * K(u,w))) != v5 | T(y,x) \ K(u,L(w,z,z \ (y \ 1))) = v5. [para(13571(a,1),5747(a,1,2))]. 13915 K(x,T(y,(z \ 1) * ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). [para(13629(a,2),8423(a,1,2,2))]. 13916 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9011(a,1),13643(a,2,2))]. 13917 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(286,a,2288,a(flip),b,13916,a),flip(a)]. 13918 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(73(a,1),13917(a,1,1))]. 13919 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(64(a,1),13781(a,1,2)),flip(a)]. 13920 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(286,a,5991,a(flip),b,13919,a),flip(a)]. 13921 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(286,a,10849,a(flip),b,13920,a),flip(a)]. 13923 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(286,a,9653,a,b,13921,a),flip(a)]. 13924 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),13923(a,1,2,1,1,1)),flip(a)]. 13925 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9858,a,13924,a),flip(a)]. 13926 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12141,a,13925,a)]. 13927 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(62,a,10177,a(flip),b,13925,a)]. 13928 K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). [hyper(62,a,12220,a(flip),b,13926,a)]. 13929 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),13927(a,1,2,1,1)),flip(a)]. 13930 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,9816,a,b,13929,a)]. 13931 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13928(a,2),7241(a,1,1))]. 13932 (x * (y / x)) * K(z,T(y,x)) = x * (K(z,y) * (y / x)). [para(12073(a,1),13808(a,1,2)),flip(a)]. 13933 (x * (K(y,z) * (z / x))) / (x * (z / x)) != u | K(y,T(z,x)) * K(x * (z / x),K(y,T(z,x))) = u. [para(13932(a,1),4706(a,1,1))]. 13934 K(x,T((y / (z \ 1)) \ u,y * z)) = K(x,u * (z \ (y \ 1))). [para(13721(a,1),13815(a,1,2))]. 13935 K(x \ K(y,z),T(K(u,w) * v5,v6)) = K(K(z,y) * x,T(v5 \ K(w,u),v6)). [para(4781(a,1),13856(a,1,2,1,2)),flip(a)]. 13936 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(73(a,1),13918(a,1,2,1)),flip(a)]. 13937 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5896(a,1),13936(a,1,1))]. 13938 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13937(a,2),2044(a,1,2))]. 13939 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13937(a,2),10831(a,1,1,1,2,1))]. 13940 K((x * y) / (x * z),(x * z) \ 1) = K(z \ y,(x * z) \ 1). [para(268(a,1),13857(a,1,2)),flip(a)]. 13941 K((x * y) / (x * z),(x * z) \ 1) = K(y \ z,x * z). [hyper(286,a,6787,a(flip),b,13940,a),flip(a)]. 13942 K((x * y) / (x * z),z \ (x \ 1)) = K(y \ z,x * z). [hyper(13749,a,13941,a)]. 13943 K((x * y) \ y,x * y) = K(x,y \ (x \ 1)). [para(11(a,1),13942(a,1,1)),flip(a)]. 13944 ((x * y) \ y) * (x * y) = y * K(x,y \ (x \ 1)). [para(13943(a,1),271(a,1,2)),flip(a)]. 13945 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = K(z,(x * y) \ y) * (x * y). [hyper(115,a,13944,a(flip),b,5745,a)]. 13947 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,T(x \ (y \ 1),y)). [hyper(286,a,7788,a(flip),b,13706,a),flip(a)]. 13948 K(x,T(y / (z \ 1),u) \ u) = K(x,(z \ (y \ 1)) * T(u,y * z)). [para(13721(a,1),13805(a,2,2,2))]. 13949 K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u / (z / (y \ 1))). [hyper(13153,a,13948,a),flip(a)]. 13950 K(x,(y \ (z \ 1)) * T(u,z * y)) = K(x,u * (y \ (z \ 1))). [hyper(286,a,13615,a(flip),b,13949,a),flip(a)]. 13951 K(x,((y / z) \ 1) * T(u,y * (z \ 1))) = K(x,u * ((z \ 1) \ (y \ 1))). [para(6431(a,1),13950(a,1,2,1))]. 13952 K(x,(K(y,z) \ ((u / (z * y)) \ 1)) * T(w,u / (T(z,y) * y))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). [para(10835(a,1),13950(a,1,2,2,2))]. 13953 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(62,a,9817,a(flip),b,13930,a),flip(a)]. 13954 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7981,a,13953,a)]. 13956 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(62,a,10547,a(flip),b,13954,a),flip(a)]. 13958 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(108(a,1),13956(a,1,2,1,1,2)),flip(a)]. 13959 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(286,a,9861,a(flip),b,13958,a),flip(a)]. 13960 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(12174,a,13959,a)]. 13961 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(4884(a,1),13960(a,2,2,1,1,2))]. 13962 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(286,a,12397,a(flip),b,13961,a)]. 13963 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13962(a,2),7241(a,1,1))]. 13964 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(62,a,7245,a(flip),b,13963,a)]. 13965 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). [hyper(62,a,7241,a(flip),b,13931,a)]. 13966 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(286,a,13428,a(flip),b,13965,a),flip(a)]. 13967 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(73(a,1),13966(a,2,2,2))]. 13968 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(62,a,13964,a,b,13967,a)]. 13970 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12930(a,1),13968(a,1,1))]. 13971 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12939,a,13970,a)]. 13972 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(286,a,12930,a(flip),b,13971,a),flip(a)]. 13973 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(62,a,12951,a(flip),b,13972,a),flip(a)]. 13975 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,13433,a(flip),b,13973,a),flip(a)]. 13976 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13975(a,2),4667(a,2,1)),flip(a)]. 13977 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4668,a,13976,a)]. 13978 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(286,a,12973,a,b,13977,a)]. 13979 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(62,a,8013,a(flip),b,13978,a)]. 13980 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(62,a,12952,a,b,13979,a)]. 13982 L(T(x,R(y / T(1 / (1 / z),u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(6113(a,2),13979(a,2,2,1))]. 13983 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,1 / (y * x)). [para(10665(a,1),13947(a,2,2))]. 13984 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,(y * x) \ 1). [para(3318(a,2),13983(a,2,2))]. 13985 (T(x,y) \ 1) * (x * ((y / (x \ 1)) / x)) = y * K(x,x \ (y \ 1)). [para(10568(a,1),13984(a,2,2))]. 13986 K(x,T(y,z \ R(z,u,z))) = K(x,y * (R(z,u,z) \ z)). [hyper(62,a,13085,a(flip),b,13708,a),flip(a)]. 13987 K(x,y * (R(z,u,z) \ z)) = K(x,y). [para(10959(a,1),13986(a,1,2)),flip(a)]. 13988 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(x \ 1) / (y * z))). [hyper(11807,a,13709,a),flip(a)]. 13989 ((x \ 1) * x) / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [para(12(a,1),13835(a,1,1,1))]. 13991 1 / a((x \ 1) / y,y,x) = (y * x) * ((x \ 1) / y). [para(4888(a,1),13989(a,1,1))]. 13993 ((x / (T((y * z) \ 1,u) \ 1)) \ 1) * (x / (y * z)) = K(u,z \ (y \ 1)). [hyper(286,a,8,a(flip),b,13906,a),flip(a)]. 13994 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,y / (x * y)). [hyper(286,a,8197,a(flip),b,13945,a),flip(a)]. 13995 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = (x * y) * K(z,x \ 1). [para(5968(a,1),13994(a,2,2))]. 13996 T((x * y) \ y,z) \ (y * K(x,y \ (x \ 1))) = x * (y * K(z,x \ 1)). [hyper(286,a,9563,a(flip),b,13995,a),flip(a)]. 13998 K(x,(x \ T((y * x) \ x,z)) \ K(y,x \ (y \ 1))) = K(x,y * (x * K(z,y \ 1))). [para(13996(a,1),9261(a,2,2))]. 13999 ((T(x,y) \ 1) * (x * ((y / (x \ 1)) / x))) \ z = K(x * y,x \ 1) * (y \ z). [para(108(a,1),13608(a,2,1,1))]. 14000 (x * K(y,y \ (x \ 1))) \ z = K(y * x,y \ 1) * (x \ z). [para(13985(a,1),13999(a,1,1))]. 14001 x \ (K(x * y,y \ 1) * z) = K(y * x,y \ 1) * (x \ z). [hyper(62,a,11461,a(flip),b,14000,a)]. 14002 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(286,a,1033,a(flip),b,13900,a),flip(a)]. 14003 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(286,a,1609,a(flip),b,14002,a),flip(a)]. 14004 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(11234(a,2),14003(a,2,1,2))]. 14005 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(286,a,10991,a(flip),b,14004,a),flip(a)]. 14006 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(4885(a,2),14005(a,1,1,3))]. 14007 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(62,a,11640,a(flip),b,14006,a)]. 14008 K(x,T(y,z \ ((u \ 1) \ (K(w,v5) * v6)))) = K(x,T(y,((v6 \ K(v5,w)) / u) * z)). [para(13674(a,1),13915(a,1,2))]. 14009 ((K(x,y) / (z * u)) * z) / a(K(x,y),(z * u) \ 1,z) = K(x,y) / L(u,z,z \ 1). [para(13636(a,1),13861(a,1,1,1))]. 14010 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(62,a,12064,a(flip),b,13938,a)]. 14011 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2603(a,1),14010(a,2,1))]. 14012 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(286,a,76,a(flip),b,14011,a),flip(a)]. 14014 x \ (x / ((y / x) \ 1)) = (x / ((x \ y) \ 1)) / x. [hyper(62,a,13836,a(flip),b,14012,a)]. 14015 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(131,a,14014,a)]. 14016 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5846(a,1),13448(a,1,2)),flip(a)]. 14017 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(286,a,5846,a(flip),b,14016,a),flip(a)]. 14020 (K(x,L(y,z,z \ (u \ 1))) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(y,x))) \ K(w,v5). [para(11785(a,1),13794(a,1,1,1))]. 14021 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(6143(a,1),13848(a,1,2))]. 14022 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8486(a,1),14021(a,1,2))]. 14023 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(286,a,14007,a(flip),b,14022,a),flip(a)]. 14024 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3064(a,1),13785(a,1,2))]. 14026 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5786(a,1),14024(a,1,2)),flip(a)]. 14027 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(286,a,11648,a(flip),b,14026,a),flip(a)]. 14029 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((T(z,x) \ 1) * z). [para(14027(a,1),12748(a,2,2))]. 14030 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(y,1 / y) * ((T(z,x) \ 1) * z). [hyper(286,a,5839,a(flip),b,14029,a),flip(a)]. 14031 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(286,a,7349,a(flip),b,14030,a),flip(a)]. 14032 K((x * K(y,z)) \ (K(y,T(z,x \ 1)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). [para(4781(a,1),13797(a,1,1,1,2))]. 14033 K((x * K(y,z)) \ (K(y,T(z,x)) * u),w) = K(((x \ 1) * K(z,y)) * (K(y,z) * u),w). [para(8423(a,1),14032(a,1,1,2,1))]. 14034 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13520(a,1),13939(a,1,1,1,2))]. 14035 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13589(a,1),14034(a,1,1,1,2))]. 14036 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(6015(a,1),14035(a,1,1,1)),flip(a)]. 14037 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2603(a,1),14036(a,1,2,2,1))]. 14038 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(76(a,1),14037(a,1,2,2))]. 14040 ((x / (x / y)) / x) \ 1 = x / (x / ((y / x) \ 1)). [para(14015(a,1),14038(a,1,2)),flip(a)]. 14041 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(182,a,14040,a)]. 14042 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(v5,v5 \ 1) / a(y,z,u),x). [hyper(10730,a,12965,a)]. 14043 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(v5,v5 \ 1) / a(z,u,y),x). [hyper(62,a,13248,a(flip),b,14042,a)]. 14044 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(v5,v5 \ 1) / a(w,u,y),x). [para(18(a,2),14043(a,1,2,2))]. 14045 a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,(w \ L(w,u,z)) * K(v5,v5 \ 1),x). [para(4569(a,1),14044(a,1,2)),flip(a)]. 14046 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(286,a,9346,a(flip),b,14045,a)]. 14047 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(4919(a,1),14046(a,2,2)),flip(a)]. 14048 (((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(14047(a,1),10475(a,1,1,2))]. 14049 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(10(a,1),13198(a,1,1,2,2,1)),flip(a)]. 14050 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(286,a,6640,a(flip),b,14049,a),flip(a)]. 14052 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9190(a,1),14050(a,1,2,1,2))]. 14053 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(9200(a,1),14050(a,1,2,1,2))]. 14054 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(10056(a,1),14050(a,1,2,1)),flip(a)]. 14055 x * (((y * z) \ 1) * T(z,z \ (y \ 1))) = (z * ((y * z) \ 1)) * T(x,y \ 1). [para(13898(a,1),13854(a,1,2)),flip(a)]. 14056 (x * ((y * x) \ 1)) * T(z,y \ 1) = z * (x * ((y * x) \ 1)). [para(13731(a,1),14055(a,1,2)),flip(a)]. 14057 T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u * (y * ((z * y) \ 1))). [hyper(33,a,12069,a(flip),b,14056,a),flip(a)]. 14058 T(K(x,(y * ((z * y) \ 1)) * u),z \ 1) = K(x,u / R(z,y,y \ 1)). [hyper(286,a,13616,a(flip),b,14057,a),flip(a)]. 14059 (((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y)) * ((x * y) \ 1) = (x * y) \ ((x \ 1) \ y). [para(4904(a,1),13732(a,2,2))]. 14060 ((x * y) \ 1) \ a(x,x \ 1,(x \ 1) \ y) = (x \ 1) \ y. [hyper(34,a,7519,a,b,14059,a),flip(a)]. 14061 K(x,K((y / (z \ 1)) * u,T((y / (z \ 1)) \ (u \ w),y * z)) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13696(a,1),13885(a,1,2,1))]. 14062 K(x,(K(y,z) * ((u / (y * z)) \ 1)) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(5839(a,1),13952(a,1,2,1))]. 14063 K(x,K((y / (z \ 1)) * u,(u \ w) * (z \ (y \ 1))) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [para(13934(a,1),14061(a,1,2,1))]. 14064 K(x,(K(y,z) / (u / (y * z))) * T(w,u / (T(y,z) * z))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(13636(a,1),14062(a,1,2,1))]. 14065 L(T(x,R(y / T(z,u),w,v5)),y / T(1 / (1 / z),u),x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(4884(a,1),13982(a,1,1,2,1,2,1))]. 14066 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(10533(a,1),14065(a,1,1))]. 14067 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(4884(a,1),14066(a,1,2,2,1)),flip(a)]. 14068 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(286,a,10684,a(flip),b,14067,a),flip(a)]. 14070 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(286,a,13979,a(flip),b,14068,a),flip(a)]. 14071 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),14070(a,2,2,1))]. 14072 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3138(a,1),14071(a,1,2,1))]. 14073 K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(176(a,1),13849(a,1,2,1))]. 14074 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). [hyper(7981,a,14073,a),flip(a)]. 14076 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). [hyper(286,a,12140,a(flip),b,14074,a),flip(a)]. 14077 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(4352(a,1),14031(a,1,2,2,2))]. 14079 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(5839(a,1),14077(a,1,2,2))]. 14080 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(10552(a,2),13003(a,1,1))]. 14082 (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(10336(a,1),13438(a,1,2))]. 14083 (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(9915(a,1),14082(a,1,2))]. 14084 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14017(a,1),14083(a,1,2)),flip(a)]. 14085 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(4893(a,1),14084(a,1,1,1))]. 14086 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13437(a,1),14085(a,1,1)),flip(a)]. 14087 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(14086(a,1),9108(a,1,1))]. 14088 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(9061(a,1),14087(a,1,2))]. 14089 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,10294,a,b,14088,a)]. 14090 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(4643(a,1),14089(a,1,2))]. 14091 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(11629,a,14090,a)]. 14093 (((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(6163(a,1),9972(a,1,1,1))]. 14094 (((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(14091(a,1),14093(a,1,1))]. 14095 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(6500(a,1),14094(a,1,1,1)),flip(a)]. 14096 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(4883(a,1),14095(a,2,2,2,1))]. 14097 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(6343(a,2),14096(a,2,2))]. 14098 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(9747(a,1),14097(a,2,2))]. 14099 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),14098(a,2,2,1))]. 14100 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(286,a,6811,a(flip),b,14099,a),flip(a)]. 14102 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(286,a,11908,a(flip),b,14100,a),flip(a)]. 14103 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6163(a,1),14102(a,1,1,1))]. 14104 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14091(a,1),14103(a,1,1))]. 14105 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6500(a,1),14104(a,1,1,1))]. 14106 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(62,a,4383,a(flip),b,14105,a)]. 14107 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(3989(a,1),14106(a,2,1))]. 14108 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13319(a,1),14107(a,2,2))]. 14109 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13319(a,1),14108(a,1,1,1))]. 14110 (((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(1736(a,1),14048(a,2,1))]. 14111 (((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(286,a,12985,a(flip),b,14110,a),flip(a)]. 14113 ((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(10978(a,1),14111(a,1,1))]. 14114 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(62,a,11014,a(flip),b,14113,a)]. 14115 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(62,a,13350,a(flip),b,14114,a),flip(a)]. 14116 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(14115(a,2),12456(a,1,1))]. 14117 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(14115(a,2),12458(a,1,1))]. 14118 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5979,a,14116,a)]. 14119 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(4391(a,2),14118(a,1,1))]. 14120 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5979,a,14117,a)]. 14121 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(4885(a,2),14119(a,1,2,1,3,2,2))]. 14122 T(x,L(y * (z * (u \ 1)),w,v5)) = T(x,L(y * (z * (1 / u)),w,v5)). [hyper(62,a,14118,a(flip),b,14121,a)]. 14123 (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(4893(a,1),10398(a,1,2,1,2,2,2,2,1))]. 14124 (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(8056(a,1),14123(a,1,2,1))]. 14125 (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(8596(a,1),14124(a,1,2,1,2))]. 14126 (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(7902(a,1),14125(a,1,2,1,2))]. 14128 (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(8375(a,1),14126(a,1,2,1))]. 14129 (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(4893(a,1),14128(a,1,2,2,1,2,1,2,2,2,1))]. 14130 (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(8032(a,1),14129(a,1,2,2,1,2))]. 14131 (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(10403(a,1),14130(a,1,2,2,1,2,2))]. 14132 (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(7786(a,1),14131(a,1,2,2,1,2,2))]. 14134 (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(8371(a,1),14132(a,1,2,2,1,2))]. 14135 (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(4735(a,2),14134(a,1,2,2,1))]. 14136 (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(8623(a,2),14135(a,1,2))]. 14137 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,8563,a(flip),b,14136,a)]. 14138 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(1328(a,1),14137(a,1,2)),flip(a)]. 14139 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(286,a,8101,a(flip),b,14138,a),flip(a)]. 14140 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1821(a,1),14139(a,1,1)),flip(a)]. 14141 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,12620,a,b,14140,a)]. 14142 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1821(a,1),14141(a,1,1))]. 14143 (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(14142(a,1),12728(a,1,2))]. 14144 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12729,a,14143,a),flip(a)]. 14145 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(286,a,8060,a,b,14144,a),flip(a)]. 14146 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(62,a,11658,a(flip),b,14145,a)]. 14147 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(286,a,8056,a,b,14146,a),flip(a)]. 14148 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11659,a,14147,a)]. 14149 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,12311,a,b,14148,a)]. 14150 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(286,a,13336,a(flip),b,14149,a),flip(a)]. 14151 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8687,a,14150,a)]. 14152 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14150(a,1),8687(a,1))]. 14153 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(8712,a,14151,a)]. 14154 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,12796,a,b,14153,a)]. 14155 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9997,a,14154,a)]. 14156 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,13370,a(flip),b,14155,a)]. 14157 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9452(a,1),14156(a,1,1)),flip(a)]. 14158 K(x,K(y * z,a(y,z,u))) = 1. [hyper(286,a,11132,a(flip),b,14157,a),flip(a)]. 14159 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14152,a,14158,a)]. 14162 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(14159(a,1),10203(a,1,2)),flip(a)]. 14163 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(286,a,8,a(flip),b,14162,a),flip(a)]. 14165 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(62,a,9881,a,b,14163,a)]. 14166 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13357(a,2),14165(a,1,1))]. 14167 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13283,a,b,14166,a)]. 14168 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,13285,a(flip),b,14167,a)]. 14169 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(286,a,13472,a,b,14168,a)]. 14171 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(286,a,12946,a(flip),b,14169,a),flip(a)]. 14172 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(62,a,13340,a(flip),b,14171,a),flip(a)]. 14173 a(x,x,K(y,z)) = 1. [hyper(62,a,6049,a(flip),b,14172,a),flip(a)]. 14174 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14172(a,1),12667(a,1,1,2))]. 14175 a(x * y,x,K(y,z)) = 1. [hyper(62,a,11823,a(flip),b,14173,a)]. 14176 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(62,a,12600,a(flip),b,14174,a),flip(a)]. 14177 a(K(x,y),a(x,y,x) \ z,u) = a(x,z,K(u,x * y)). [hyper(62,a,13352,a,b,14176,a)]. 14178 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(62,a,14172,a(flip),b,14176,a),flip(a)]. 14179 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(14176(a,1),172(a,1,2))]. 14180 a(x,y,K(z,L(u,x,w))) = a(K(x,u),y,z). [para(10600(a,1),14176(a,1,1)),flip(a)]. 14181 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),w,K(v5,u)). [para(13769(a,2),14176(a,1,1))]. 14182 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(14176(a,1),13980(a,1,2))]. 14183 ((K(x,y) / (z * u)) * z) / a(x,(z * u) \ 1,K(z,y)) = K(x,y) / L(u,z,z \ 1). [para(14176(a,1),14009(a,1,2))]. 14184 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11824,a,14178,a)]. 14185 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11819,a,14178,a)]. 14186 (x * a(y,z,K(u,w))) \ x = a(w,z,K(u,y)). [hyper(286,a,12599,a,b,14178,a)]. 14187 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(286,a,13475,a(flip),b,14178,a),flip(a)]. 14188 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(286,a,12001,a(flip),b,14178,a),flip(a)]. 14189 a(x \ y,z,K(u,w)) = a(u,z,K(y \ x,w)). [hyper(62,a,12001,a,b,14178,a),flip(a)]. 14190 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(62,a,12000,a,b,14178,a)]. 14191 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(62,a,11826,a,b,14178,a)]. 14192 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(62,a,13475,a(flip),b,14178,a),flip(a)]. 14193 a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). [hyper(62,a,12000,a(flip),b,14178,a),flip(a)]. 14194 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(57,a,14178,a)]. 14195 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8057(a,1),14178(a,1,3))]. 14196 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(14178(a,2),10241(a,1,2))]. 14197 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(14178(a,2),11032(a,1,1))]. 14198 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(14178(a,1),11746(a,1,2))]. 14199 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(14178(a,2),11746(a,1,2))]. 14200 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(14178(a,1),11814(a,1,1))]. 14201 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(14178(a,2),11814(a,1,1))]. 14202 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(14178(a,1),11806(a,1,2))]. 14203 K(x,(y * z) \ u) * a(x,z,K(z \ (y \ u),y)) = K(x,z \ (y \ u)). [para(14178(a,2),11842(a,1,2))]. 14204 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [para(14178(a,2),12598(a,1,2))]. 14205 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(14178(a,2),12601(a,1,2))]. 14206 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(14178(a,2),13477(a,1,2))]. 14207 a(x,y,K(z,a(u,x,w))) = a(z,y,1). [para(13771(a,1),14178(a,1,3)),flip(a)]. 14208 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(14178(a,2),13478(a,1,2))]. 14209 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(14178(a,1),14115(a,2,2))]. 14210 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(286,a,13334,a,b,14187,a)]. 14211 a(x \ 1,y,K(z,u)) = K(x,a(u,y,z) \ 1). [hyper(286,a,6458,a(flip),b,14187,a),flip(a)]. 14212 (x * a(y,z,u)) / x = a(y,z,u) * a(x,z,K(u,y)). [para(14187(a,2),4636(a,2,2))]. 14213 (x * y) * a(x,z,K(u,w)) = x * (y * K(x,a(w,z,u))). [para(14187(a,2),7648(a,1,2))]. 14214 x * ((y * ((x * y) \ 1)) * a(z,y \ 1,K(x \ 1,y))) = T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1. [para(14187(a,2),12333(a,1,2,2))]. 14215 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14187(a,1),13475(a,2,2))]. 14217 (x * a(y,z,K(u,x))) \ w = a(x,z,K(u,y)) * (x \ w). [para(14187(a,2),13772(a,2,1))]. 14218 (x * a(y,z,K(u,w))) \ 1 = a(w,z,K(u,y)) * (x \ 1). [para(14187(a,2),13773(a,2,1))]. 14219 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(14187(a,2),14176(a,1,1))]. 14220 (x * y) * a(z,u,K(w,y)) = x * T(y,a(w,u,z)). [para(14192(a,2),6811(a,1,2))]. 14223 a(x,y,K(z,a(u,x,w))) = 1. [hyper(286,a,418,a(flip),b,14207,a),flip(a)]. 14225 K(a(x,y,z),a(u,w,y)) = 1. [hyper(62,a,14192,a(flip),b,14223,a)]. 14226 T(a(x,y,z),a(u,w,y)) = a(x,y,z). [hyper(55,a,14225,a)]. 14227 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(2932(a,1),14190(a,1,3)),flip(a)]. 14228 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,14178,a(flip),b,14191,a)]. 14229 a(x \ y,x,K(z,u)) = a(z,y,K(u,x \ y)). [para(10(a,1),14191(a,1,2)),flip(a)]. 14230 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(14191(a,1),11856(a,1))]. 14231 K(L(x,y,z) \ x,u \ 1) = a(x,y,K(z,u)). [hyper(62,a,13770,a,b,14193,a)]. 14232 T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,y / z)). [para(13554(a,1),14206(a,1,2,3)),flip(a)]. 14233 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(268(a,1),14210(a,1,2,1))]. 14234 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ 1)). [para(14227(a,1),11746(a,1,2))]. 14237 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(14172(a,2),14230(a,1))]. 14238 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(14178(a,1),14230(a,1))]. 14239 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(14190(a,2),14230(a,1))]. 14243 a(x,y,K(z,L(u,x,w))) != v5 | a(x,y,K(z,u)) = v5. [para(14180(a,2),14237(a,1))]. 14244 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(11768(a,2),14238(a,1))]. 14245 a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. [para(11990(a,2),14238(a,1))]. 14247 a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. [para(12001(a,1),14238(a,1))]. 14250 K(x,y) * (a(x,y,x) \ K(x * y,L(x,z,u))) = a(x * y,z,K(u,x)). [hyper(62,a,10918,a,b,14184,a)]. 14251 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(14185(a,1),6909(a,1,1))]. 14252 a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,z \ (y \ x))). [para(10568(a,1),14188(a,2,3))]. 14253 a(x \ y,z,K(u,w)) != v5 | a(u,z,K(y \ x,w)) = v5. [para(14188(a,2),14230(a,1))]. 14255 a(x,y,K(z \ L(z,u,u \ 1),w)) = a(a(u \ 1,u,z),y,K(x,w)). [para(6339(a,1),14189(a,1,1)),flip(a)]. 14257 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8031(a,1),14195(a,2,3)),flip(a)]. 14258 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8060(a,1),14195(a,2,3))]. 14259 K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). [para(11538(a,1),14196(a,1,2,3))]. 14260 x \ (a(y,z,K(x,u)) * w) = T(x,a(u,z,y)) \ w. [para(14197(a,1),13479(a,1,2))]. 14261 K(x,y) * a(x,z,K(u,y \ 1)) = K(x,L(y,z,u \ 1)). [para(6458(a,1),14198(a,1,2,3))]. 14262 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(8076(a,1),14198(a,1,2,3))]. 14263 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). [para(12000(a,1),14198(a,1,2))]. 14264 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(u,w,v5))). [para(13769(a,2),14198(a,1,2,3))]. 14265 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,z \ 1)). [para(14190(a,1),14198(a,1,2))]. 14267 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(14199(a,2),11734(a,1))]. 14268 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(286,a,11732,a,b,14200,a),flip(a)]. 14269 a(x,y \ z,K(y,u)) * K(x,u) = K(x,L(u,z / y,y)). [hyper(286,a,11795,a(flip),b,14200,a),flip(a)]. 14270 x * (a(y,z,K((z * K(u,y)) \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. [para(14200(a,2),11973(a,1,2))]. 14271 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,(z \ 1) \ u)). [para(13494(a,1),14200(a,1,1,3))]. 14272 a(x,y,K(z,z \ (u \ w))) * K(z,x) = K(z,L(x,y,(u * z) \ w)). [para(10568(a,1),14201(a,1,1,3))]. 14273 a(x,y,K(z,L(u,w,v5) \ 1)) * K(z,x) = K(z,L(x,y,L(u \ 1,w,v5))). [para(11748(a,1),14201(a,1,1,3))]. 14274 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(14204(a,1),12601(a,1))]. 14275 K(x,a(y,z,u) \ 1) = a(u,z,K(x,y)). [hyper(62,a,14227,a(flip),b,14211,a),flip(a)]. 14276 K(x,y \ L(y,z,u)) = a(y,z,K(x,u)). [hyper(62,a,13344,a(flip),b,14275,a)]. 14277 T(x \ 1,a(y,z,u)) * K(w,v5) = a(u,z,K(x,y)) * (x \ K(w,v5)). [para(14275(a,1),13811(a,1,1)),flip(a)]. 14278 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8056(a,1),14215(a,1,3))]. 14279 K(x \ L(x,y,z),u) = a(x,y,K(z,u)). [hyper(6802,a,14231,a)]. 14280 a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ ((L(x,y,z) \ x) \ x),u). [para(14231(a,1),6506(a,1,1))]. 14281 K(x \ L(x,y,y \ 1),z) = 1. [hyper(286,a,6852,a(flip),b,14279,a),flip(a)]. 14282 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(286,a,11913,a,b,14258,a)]. 14283 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(286,a,8600,a(flip),b,14268,a),flip(a)]. 14284 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14268(a,1),43(a,1))]. 14285 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14268(a,2),8744(a,1))]. 14286 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(62,a,14195,a(flip),b,14278,a)]. 14287 a(x,y,K(z,u \ 1)) != w | a(z,y,K(x,u)) = w. [para(14178(a,1),14239(a,1))]. 14289 a(x,y,K(z,u \ (w \ 1))) != v5 | a(z,y,K(x,w * u)) = v5. [para(13506(a,1),14287(a,1,3))]. 14290 a(a(x,y,z),u,K(w,v5)) = a(x,u,K(w,a(v5,y,z))). [hyper(62,a,14181,a(flip),b,14219,a)]. 14291 a(x,y,K(z,u)) * (z \ w) = T(z,a(u,y,x)) \ w. [hyper(37,a,967,a(flip),b,14260,a),flip(a)]. 14292 K(x,(y * z) \ u) * a(x,w,K(z \ (y \ u),y)) = K(x,L((y * z) \ u,w,y \ 1)). [para(9505(a,1),14263(a,1,2,3))]. 14293 K(x,L(y,L(z,u,w),z \ 1)) = K(x,y) * 1. [para(11321(a,1),14263(a,1,2)),flip(a)]. 14294 K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(v5,w,u) \ 1)). [para(14192(a,2),14263(a,1,2,3))]. 14295 K(x,L(y,L(z,u,w),z \ 1)) = K(x,y). [hyper(286,a,8,a(flip),b,14293,a),flip(a)]. 14296 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,1 / z)). [para(3498(a,1),14265(a,2,2))]. 14297 a(a(x,y,z),u,K(w,v5)) = a(x,u,a(w,y,K(z,v5))). [para(14187(a,2),14290(a,2,3))]. 14298 K(x,y) * a(z,u,a(x,w,K(v5,y))) = K(x,L(y,u,1 / a(z,w,v5))). [para(14297(a,1),14296(a,1,2))]. 14299 a(x,y,K(z,x * u)) = a(K(x,u),y,z). [hyper(62,a,13290,a(flip),b,14177,a),flip(a)]. 14301 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(286,a,14176,a(flip),b,14299,a),flip(a)]. 14303 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,x * u)). [para(14301(a,1),14201(a,1,1))]. 14304 K(x,L(y,z,y * u)) = K(x,L(y,z,u)). [hyper(62,a,14201,a(flip),b,14303,a),flip(a)]. 14305 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [para(10(a,1),14304(a,1,2,3)),flip(a)]. 14307 K(x,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. [para(14190(a,1),14202(a,1,2))]. 14309 a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). [para(81(a,1),14212(a,1,1)),flip(a)]. 14310 K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) != v6 | a(L(y,z,u),w,K(v5,x)) = v6. [para(11780(a,1),14244(a,1,2))]. 14311 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(14178(a,1),14251(a,1,1))]. 14313 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(62,a,14109,a,b,14182,a)]. 14314 (x * y) * a(x,z,K(u,w)) = x * (y * a(x,z,K(u,w))). [para(14187(a,2),14213(a,2,2,2))]. 14315 (x * (y * a(z,u,K(y,w)))) \ 1 = a(w,u,K(y,z)) * ((x * y) \ 1). [para(12579(a,1),14218(a,1,1))]. 14316 a(x \ (y * z),u,K(z,w)) = a(w,u,K(z,y \ x)). [hyper(286,a,11997,a(flip),b,14252,a),flip(a)]. 14317 K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y \ 1)) = K(x,L(y,z,(K(v6,v5) * w) * (u \ 1))). [para(13627(a,1),14261(a,2,2,3))]. 14318 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [hyper(286,a,11732,a,b,14262,a),flip(a)]. 14319 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(286,a,9767,a,b,14262,a),flip(a)]. 14320 K(x,L(y,z / u,u)) != w | K(x,L(y,u \ z,u)) = w. [para(14269(a,1),14251(a,1))]. 14321 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(11639(a,1),14313(a,1,1))]. 14322 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(12586,a,14314,a)]. 14323 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). [para(445(a,1),14322(a,1,3,2)),flip(a)]. 14324 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14209(a,2),14321(a,1,1))]. 14325 K(x,y \ (z * u)) * a(z,u,K(x,y \ (z * u))) = K(x,(u \ (z \ y)) \ 1). [para(14323(a,1),12023(a,1,2))]. 14326 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5982,a,14324,a)]. 14327 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(62,a,14120,a(flip),b,14326,a),flip(a)]. 14328 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(62,a,14072,a(flip),b,14327,a),flip(a)]. 14329 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(12601,a,14179,a)]. 14330 a(x,y,K(z,u \ (x \ w))) != v5 | a(x,y,K(z,u \ w)) = v5. [para(14178(a,1),14245(a,1))]. 14331 K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,u * w)). [hyper(14251,a,14271,a),flip(a)]. 14332 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,u * w)) = v5. [para(14271(a,1),14251(a,1))]. 14333 K(x,L(y,z,(u \ 1) * w)) = K(x,L(y,z,u \ w)). [para(4893(a,1),14331(a,1,2,3,1)),flip(a)]. 14334 K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,w * (u \ 1))). [para(6431(a,1),14331(a,1,2,3))]. 14335 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,y * x)). [para(14331(a,1),11852(a,1,2)),flip(a)]. 14336 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,(K(v5,w) / u) * v6)). [para(13520(a,1),14331(a,1,2,3,1))]. 14337 K(x,L(y,z,(u * K(w,u)) \ v5)) = K(x,L(y,z,(u \ K(u,w)) * v5)). [para(4804(a,1),14333(a,1,2,3,1)),flip(a)]. 14338 K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,w \ (w * u))). [para(4913(a,1),14333(a,1,2,3))]. 14339 K(x,L(y,z,(u * w) \ 1)) = K(x,L(y,z,w \ (u \ 1))). [para(6394(a,1),14333(a,1,2,3))]. 14340 K(x,L(y,z,u \ a(w,v5,w))) = K(x,L(y,z,u \ 1)). [para(13381(a,1),14333(a,1,2)),flip(a)]. 14341 K(x,L(y,z,u * ((w * u) \ 1))) = K(x,L(y,z,w \ 1)). [para(11(a,1),14334(a,1,2,3,1)),flip(a)]. 14342 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ a(u,w,u))). [para(13051(a,1),14339(a,1,2,3)),flip(a)]. 14343 K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,u)). [para(9(a,1),14338(a,2,2,3))]. 14344 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8077(a,1),14282(a,1,2))]. 14345 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(93(a,2),14283(a,2,2,2)),flip(a)]. 14346 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8056(a,1),14283(a,1,1,3))]. 14347 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8391(a,1),14283(a,1,1,3))]. 14348 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(33,a,14318,a,b,14319,a)]. 14350 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(10(a,1),14348(a,1,2)),flip(a)]. 14351 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8060(a,2),14348(a,1,3))]. 14352 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8060(a,2),14351(a,2,3))]. 14353 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(10273(a,1),14328(a,1,2,1))]. 14354 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(62,a,14122,a,b,14353,a)]. 14355 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4613(a,2),14354(a,1,2,1,2))]. 14356 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(167(a,1),14355(a,1,2,1)),flip(a)]. 14357 T(x,R(y,z,z \ 1)) = T(x,y). [hyper(286,a,13671,a(flip),b,14356,a),flip(a)]. 14359 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(14356(a,1),108(a,1,2))]. 14360 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(14356(a,1),4617(a,2,2)),flip(a)]. 14362 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(4697,a,14360,a),flip(a)]. 14363 K(R(x,y,y \ 1),z) = K(x,z). [hyper(286,a,13482,a(flip),b,14362,a),flip(a)]. 14364 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(286,a,11780,a(flip),b,14362,a),flip(a)]. 14365 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(105(a,1),14362(a,1,1)),flip(a)]. 14366 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(478(a,1),14362(a,1,1)),flip(a)]. 14367 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(u,z) * y),w). [para(6911(a,1),14362(a,1,1)),flip(a)]. 14368 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(14362(a,1),7997(a,1))]. 14369 K(R(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(14362(a,2),11807(a,1))]. 14370 a(K(L(x,y,z),u),w,v5) = a(R(x,y,z),w,K(v5,u)). [para(14362(a,1),14176(a,1,1))]. 14372 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = (K(x,z) * x) \ T(R(x,y,y \ 1),z). [para(14363(a,1),4748(a,1,1,1)),flip(a)]. 14373 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(12944,a,14364,a)]. 14374 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12941,a,14364,a)]. 14375 K(x / y,L(T(z,u * y),y,u)) = K((u * y) \ (x * T(u,y)),z). [hyper(11213,a,14364,a),flip(a)]. 14376 K(x / y,L(T(z,x * u),y,u)) = K((y * u) \ (x * u),z). [hyper(8349,a,14364,a),flip(a)]. 14377 K((T(x,y) * z) \ ((x * y) * z),u) = K(y,L(T(u,x * z),T(x,y),z)). [hyper(62,a,9340,a,b,14364,a)]. 14378 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(478(a,1),14364(a,1,1)),flip(a)]. 14380 K(x,L(y,z,u)) * K(y,y \ R(x,z,u)) = a(y,y \ R(x,z,u),y). [para(14364(a,1),9182(a,1,1))]. 14382 K((x * y) * T(z,y),u) * K(z * y,K(x,L(u,y,z))) = K((z * y) * R(x,y,z),u). [para(14364(a,1),12161(a,1,2,2))]. 14383 K(x,L(y,z \ 1,u \ 1)) = K(x,L(y,z,u)). [hyper(11855,a,14373,a),flip(a)]. 14384 K(x,((y * z) * u) / (y * u)) = K(T(x,y),L(z,y,u)). [hyper(8265,a,14373,a)]. 14385 K(x,R(L(y,z,u),w,v5)) = K(x,L(L(y,w,v5),z,u)). [para(30(a,1),14373(a,2,2))]. 14386 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(105(a,1),14373(a,1,2)),flip(a)]. 14387 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(478(a,1),14373(a,1,2)),flip(a)]. 14388 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(614(a,1),14373(a,1,2)),flip(a)]. 14389 K(x,L(y,y \ z,u)) * ((y \ z) * u) = T(R(y,y \ z,u),x) \ (z * u). [para(14373(a,1),5888(a,1,1))]. 14390 K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(14373(a,1),11855(a,1))]. 14391 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14373(a,1),11967(a,1,2))]. 14392 a(x,y,K(z,L(u,w,v5))) * K(z,x) = K(z,L(x,y,R(u,w,v5))). [para(14373(a,1),14201(a,1,1,3))]. 14393 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(286,a,11732,a,b,14374,a),flip(a)]. 14394 R(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(286,a,11748,a(flip),b,14374,a),flip(a)]. 14395 K(x,(y * z) / ((u \ y) * z)) = K(x,L(u,y,z)). [hyper(62,a,7411,a,b,14374,a)]. 14396 (x * y) / ((K(z,u) * x) * y) = K(u,L(z,x,y)). [hyper(62,a,7393,a,b,14374,a)]. 14397 K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). [hyper(62,a,10030,a(flip),b,14374,a),flip(a)]. 14398 K(x,L(x \ R(y,z,u),(x \ R(y,z,u)) * x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [hyper(62,a,5694,a(flip),b,14374,a),flip(a)]. 14399 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14374(a,1),104(a,1,1))]. 14400 K(x,L(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u). [para(14374(a,1),323(a,1,1))]. 14401 K(x,L(y,z / u,u)) * z = (K(x,y) * (z / u)) * u. [para(14374(a,1),332(a,1,1))]. 14402 K(x,L(y,z,u)) * (z * u) != w | (K(x,y) * z) * u = w. [para(14374(a,1),266(a,1,1))]. 14405 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14374(a,1),11207(a,1,1))]. 14407 L(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [hyper(62,a,10030,a(flip),b,14393,a),flip(a)]. 14408 L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(62,a,7414,a(flip),b,14393,a),flip(a)]. 14409 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(62,a,7246,a(flip),b,14393,a),flip(a)]. 14410 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14393(a,1),104(a,1,1))]. 14411 (K(x,T(y,z * u)) * z) * u = (z * u) * L(K(x,y),z,u). [para(14393(a,1),8162(a,2,2))]. 14413 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(14393(a,2),11777(a,1))]. 14414 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14393(a,1),13894(a,1,1))]. 14415 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,z \ x,y)) = w. [para(101(a,1),14369(a,1,1))]. 14417 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(12930(a,1),14369(a,1))]. 14418 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. [para(7234(a,2),14413(a,1))]. 14420 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). [para(3508(a,1),14383(a,1,2))]. 14421 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(62,a,7383,a(flip),b,14394,a)]. 14422 K((L(x,y,z) \ 1) \ (x \ u),L(w,L(x,y,z),x \ 1)) = K(((L(x,y,z) \ 1) * x) \ u,w). [hyper(62,a,11843,a(flip),b,14420,a),flip(a)]. 14423 K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) = K(x,R(y * z,u,w)). [para(557(a,1),14420(a,1,2)),flip(a)]. 14424 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z),x \ 1)) = x * ((L(x,y,z) \ 1) * K(u,w)). [para(14420(a,1),11838(a,1,2))]. 14425 K(x,y) * K(y,L(x,z,u \ 1)) = a(y,z \ 1,K(u,x)). [para(14420(a,1),14184(a,1,2))]. 14426 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(703(a,1),14421(a,1,2,1)),flip(a)]. 14427 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(13660(a,1),14359(a,1,2))]. 14429 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(8338,a,14365,a)]. 14430 K(x * K(y / (z * u),x),w) = K(x,T(w,L((y / u) / z,z,u))). [para(14366(a,1),8183(a,1,1,2))]. 14431 K(L((x * a(y,z,K(u,w))) / v5,v5,a(w,z,K(u,y))),v6) = K(x / (v5 * a(w,z,K(u,y))),v6). [para(14204(a,1),14366(a,1,1,1,1))]. 14432 (x * y) * K(z / (y * x),u) = x * (y * K((z / x) / y,u)). [para(14378(a,1),11753(a,1,2))]. 14433 K((x / y) * a(z,u,K(w,v5)),L(v6,a(v5,u,K(w,z)),y)) = K(x / (a(v5,u,K(w,z)) * y),v6). [para(14204(a,1),14378(a,1,1))]. 14434 K(x,L(y / T(z / u,w),T(z / u,w),u)) = K(x,(y * u) / (u * T(u \ z,w))). [para(400(a,1),14386(a,2,2,2))]. 14435 K(x,L(y / z,z,u)) * (z * u) = (z * u) * K(x,(z * u) \ (y * u)). [para(14386(a,2),7770(a,1,1))]. 14436 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14387(a,1),11813(a,2,2))]. 14437 ((x \ y) * z) * K(u,((x \ y) * z) \ (y * z)) = K(u,L(x,y,z)) * ((x \ y) * z). [para(14395(a,1),7770(a,1,1)),flip(a)]. 14438 (x * y) / ((x * K(z,u)) * y) = K(u,L(T(z,x),x,y)). [para(8147(a,1),14396(a,1,2,1))]. 14439 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,x,a(y,z,z \ 1))). [para(10755(a,2),14396(a,1,2))]. 14440 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,x * y,z)). [para(11382(a,1),14396(a,1,2,1))]. 14441 K(x,L(y,z * u,a(K(x,y),z,u))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [hyper(286,a,81,a(flip),b,14399,a),flip(a)]. 14442 (K(x,y) * z) * (z \ u) != w | K(x,L(y,z,z \ u)) * u = w. [para(14399(a,1),300(a,1))]. 14443 K(x,L(y,K(z,u),u \ w)) * (T(u,z) \ w) = (K(x,y) * K(z,u)) * (u \ w). [para(5741(a,1),14399(a,1,2))]. 14444 K(x,L(y,z,u)) * ((x \ z) * u) = (K(x,y) * (x \ z)) * u. [para(11788(a,1),14399(a,1,1))]. 14445 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(62,a,7771,a(flip),b,14409,a)]. 14446 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(9067(a,1),14410(a,1,1))]. 14447 a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). [hyper(14237,a,14370,a),flip(a)]. 14448 K(x,L(R(y,z,u),w,v5)) = K(x,L(L(y,z,u),w,v5)). [para(29(a,1),14385(a,1,2))]. 14449 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [hyper(6974,a,14427,a)]. 14450 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(62,a,11465,a,b,14427,a)]. 14451 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(115,a,14427,a(flip),b,11465,a),flip(a)]. 14453 K(x,L(R(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). [hyper(62,a,11775,a,b,14448,a)]. 14454 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7736(a,1),14450(a,1,1,1))]. 14455 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(286,a,94,a,b,14451,a),flip(a)]. 14456 L(x \ R(x,K(y,T(z,u)),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(8146(a,1),14455(a,2,3)),flip(a)]. 14458 K(x,((y * z) * u) / (y * u)) = K(x,T(L(z,y,u),y)). [hyper(286,a,7777,a(flip),b,14384,a),flip(a)]. 14459 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(451(a,1),14388(a,1,2)),flip(a)]. 14460 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(8128(a,1),14388(a,2,2,1,2))]. 14461 K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. [para(3508(a,1),14390(a,1,2))]. 14462 K(x,L(y,z \ K(u,w),v5 \ 1)) != v6 | K(x,L(y,K(w,u) * z,v5)) = v6. [para(13570(a,1),14390(a,1,2,2))]. 14463 (K(x,T(y,z)) * u) * (u \ z) = (z / u) * (u * K(x,y)). [hyper(62,a,11859,a(flip),b,14400,a),flip(a)]. 14464 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = ((K(y,z) * u) * (u \ (x \ 1))) \ 1. [para(14400(a,1),6403(a,1,1)),flip(a)]. 14465 K(x,L(y,z \ 1,z * u)) * u = (K(x,y) * (z \ 1)) * ((z \ 1) \ u). [para(14331(a,1),14400(a,1,1))]. 14466 (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). [hyper(8511,a,14405,a)]. 14467 (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(T(u,a(y,z,z \ 1)),a(y,z,z \ 1),x)). [para(10755(a,1),14438(a,1,1))]. 14468 ((x * y) * z) / T(x,y * z) = ((y * z) * R(x,y,z)) / x. [hyper(116,a,14449,a(flip),b,6603,a),flip(a)]. 14469 K(x,((y * z) * u) / (y * u)) = K(x,L(T(z,y),y,u)). [para(25(a,2),14458(a,2,2))]. 14470 K(x,L(T(y,z / u),z / u,u)) = K(x,(((z / u) * y) * u) / z). [para(12(a,1),14469(a,1,2,2)),flip(a)]. 14471 K(x,(T(K(y,K(z,u)) * w,K(y,z)) * v5) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(11018(a,2),14469(a,1,2,1,1))]. 14472 K(((x \ y) * z) \ (y * z),u) = K(x,L(T(u,y * z),y,z)). [hyper(14418,a,7729,a),flip(a)]. 14473 a(x,y \ 1,K(z,u)) = a(x,y,K(z \ 1,u)). [hyper(14244,a,14425,a),flip(a)]. 14474 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [hyper(286,a,14190,a(flip),b,14473,a),flip(a)]. 14475 a(x,y \ K(z,u),K(w,v5)) = a(w,K(u,z) * y,K(x,v5)). [para(13570(a,1),14474(a,1,2))]. 14476 K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((K(x,x \ y) * y) \ z,T(u,y)). [para(4856(a,1),14429(a,2,1,2)),flip(a)]. 14477 K(((x * K(y,z)) * u) \ x,T(w,u)) = K((K(z,y) * (x * K(y,z))) / (u * (x * K(y,z))),w). [para(6895(a,1),14429(a,2,1,1,1))]. 14478 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y \ K(z,u))). [para(13627(a,1),14429(a,1,1)),flip(a)]. 14479 (x / y) * (y * K(z,T(u,x))) = (K(z,u) * y) * (y \ x). [para(8149(a,1),14463(a,1,1,1)),flip(a)]. 14480 K(x,L(T(y,(z * x) * u),T(z,x),u)) = K((T(z,x) * u) \ ((z * x) * u),y). [para(174(a,1),14376(a,1,1))]. 14481 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(216,a,14411,a,b,11398,a(flip))]. 14483 K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K((T(z,u) * K(x,y)) \ 1,w). [para(14481(a,1),7728(a,1,1,1)),flip(a)]. 14484 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(4675(a,1),14446(a,2,1))]. 14485 K(x / y,L(T(z,x * u),x,u)) = K((y * u) \ (x * u),z). [para(76(a,1),14472(a,1,1,1,1)),flip(a)]. 14486 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(62,a,12263,a(flip),b,14344,a)]. 14487 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10251(a,1),14486(a,1,1))]. 14488 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8077(a,1),14487(a,2,3))]. 14489 K(x,L(y,z,R(u,w,v5))) = K(x,L(y,z,L(u,w,v5))). [hyper(14311,a,14392,a),flip(a)]. 14490 K(x,L(y,z,R(u,w,v5))) != v6 | K(x,L(y,z,L(u,w,v5))) = v6. [para(14392(a,1),14311(a,1))]. 14491 ((x * y) * K(z,u)) * K(u,L(z,y,L(T(x,y * K(z,u)),y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(14489(a,1),12217(a,1,2))]. 14492 K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(y,z,K(x,z \ u)) = w. [para(14233(a,2),14245(a,1))]. 14493 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(9594,a,14414,a)]. 14494 K(x,L(R((y \ 1) \ z,u,w),y,y \ 1)) != v5 | K(x,L(y * z,u,w)) = v5. [para(14423(a,2),14417(a,1))]. 14495 K(x,T(y,L((z / u) / w,w,u))) = K(x,T(y,z / (w * u))). [hyper(8339,a,14430,a),flip(a)]. 14496 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13604(a,1),14436(a,1,2))]. 14497 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,14493,a)]. 14498 a(x,y,K(z \ L(z,u,u \ 1),w)) = a(u \ 1,y,a(x,u,K(z,w))). [hyper(286,a,14297,a(flip),b,14255,a),flip(a)]. 14500 L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. [para(14259(a,1),14267(a,1))]. 14501 K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). [hyper(14311,a,14272,a),flip(a)]. 14503 (K(x,L(y,z,x \ (u \ w))) * v5) \ v5 = K(L(y,z,(u * x) \ w),T(x,v5)). [para(14501(a,1),7851(a,1,1,1))]. 14504 T(x \ 1,a(y,z,u)) * K(w,v5) = T(x,a(y,z,u)) \ K(w,v5). [hyper(286,a,14291,a(flip),b,14277,a),flip(a)]. 14505 T(x \ 1,a(y,z,u)) = T(x,a(y,z,u)) \ 1. [hyper(34,a,13512,a,b,14504,a),flip(a)]. 14506 K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). [hyper(62,a,14264,a(flip),b,14294,a),flip(a)]. 14507 K(x,L(y,z,(u \ K(u,w)) * v5)) = K(x,L(y,z,K(u,w) * (u \ v5))). [para(6004(a,1),14337(a,1,2,3)),flip(a)]. 14508 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14346,a(flip),b,14347,a),flip(a)]. 14509 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(76(a,1),14508(a,1,2,2,3)),flip(a)]. 14510 K(x,L(L(y,z,u),(y * z) * u,w)) = K(x,L(L(y,z,u),z * u,w)). [hyper(62,a,14448,a(flip),b,14453,a)]. 14511 a(x \ 1,y,a(z,x,K(u,w))) = a(z,y,1). [para(14281(a,1),14498(a,1,3)),flip(a)]. 14512 a(x \ 1,y,a(z,x,K(u,w))) = 1. [hyper(286,a,418,a(flip),b,14511,a),flip(a)]. 14515 K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y) * 1. [para(14512(a,1),14298(a,1,2)),flip(a)]. 14516 K(x,L(y,z,1 / a(u \ 1,u,w))) = K(x,y). [hyper(286,a,8,a(flip),b,14515,a),flip(a)]. 14517 K(x,L(y,z,a(u \ 1,u,w) \ 1)) = K(x,y). [para(3498(a,2),14516(a,1,2))]. 14518 K(x,L(y,z,a(u \ 1,u,w))) = K(x,y). [hyper(14390,a,14517,a)]. 14519 K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). [hyper(62,a,14506,a(flip),b,14517,a)]. 14520 K(x,L(L(y,x,z),x * z,u)) = K(x,L(y,(y * x) * z,u)). [hyper(10626,a,14510,a),flip(a)]. 14521 K(x,L(L(y,x,z),z,u)) = K(x,L(y,(y * x) * z,u)). [hyper(62,a,11799,a(flip),b,14520,a)]. 14522 K(x,L(y,(y * x) * z,u)) != w | K(x,L(y,z,u)) = w. [para(14521(a,1),10626(a,1))]. 14523 K(x,y) * L(a(x,y,x) \ K(x * y,x),z,u) = a(x * y,z,K(u,x)). [para(13077(a,2),14250(a,1,2))]. 14524 a(x,y,K(z,u)) * L(x,y,z) = x * T(x \ L(x,y,z),u). [para(4563(a,1),14280(a,2,2,1,2))]. 14525 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8056(a,1),14285(a,1,1,3))]. 14527 x * K(y,L(z,u \ 1,u * x)) = (x / (u \ 1)) * (u \ K(y,z)). [para(13512(a,1),14335(a,1,2)),flip(a)]. 14528 (x * y) * K(z,(x * y) \ (u * y)) = (K(z,u / x) * x) * y. [hyper(14402,a,14435,a),flip(a)]. 14529 (x * y) * K(z,(x * y) \ (u * y)) = (x * K(z,x \ u)) * y. [para(7770(a,1),14528(a,2,1))]. 14531 K(x,L(y,z \ 1,z * u)) * u = (K(x,y) / z) * ((z \ 1) \ u). [para(13636(a,1),14465(a,2,1))]. 14532 K(x,y) * L(K(y,x),z,u) = a(x * y,z,K(u,x)). [para(9187(a,1),14523(a,1,2,1))]. 14533 K(x,y) * K(y,L(x,z,u)) = a(x * y,z,K(u,x)). [para(11732(a,1),14532(a,1,2))]. 14534 a(x * y,z,K(u,x)) = a(y,z,K(u,x)). [hyper(14244,a,14533,a),flip(a)]. 14536 a(x * (y * z),y,K(z,x)) = 1. [hyper(286,a,14175,a(flip),b,14534,a),flip(a)]. 14537 K(x,L(y,z,L(u \ 1,w,v5))) = K(x,L(y,z,L(u,w,v5) \ 1)). [hyper(14311,a,14273,a),flip(a)]. 14538 T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). [para(11736(a,1),14389(a,1,1)),flip(a)]. 14539 (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). [para(8146(a,1),14466(a,2,1))]. 14540 K(x,R((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [hyper(14494,a,13483,a),flip(a)]. 14541 K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [hyper(14417,a,14540,a)]. 14542 K(L(x,y,(z * u) \ w),T(u,v5)) = K(L(x,y,u \ (z \ w)),T(u,v5)). [hyper(7852,a,14503,a),flip(a)]. 14543 K(L(x,y,(z * u) \ w),T(u,v5)) = K(x,L(T(u,v5),y,u \ (z \ w))). [hyper(286,a,11780,a(flip),b,14542,a),flip(a)]. 14544 K(x,L(T(y,z),u,(w * y) \ v5)) = K(x,L(T(y,z),u,y \ (w \ v5))). [hyper(11807,a,14543,a)]. 14545 x * (a(y,z,K(z \ x,u)) * K(y,u)) = (x / (z * K(u,y))) * z. [para(9017(a,1),14270(a,1,2,1,3))]. 14547 x * K(y,L(z,u,u \ x)) = (x / (u * K(z,y))) * u. [para(14200(a,1),14545(a,1,2))]. 14548 (x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)). [hyper(62,a,11852,a(flip),b,14547,a),flip(a)]. 14549 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(34,a,4443,a,b,14548,a),flip(a)]. 14551 (x / (y * z)) * ((y * z) * K(u,z)) = (x / (y * T(z,u))) * (y * z). [para(6811(a,1),14548(a,1,1,2)),flip(a)]. 14552 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = (((u \ 1) / z) * (z * K(x,y))) \ K(w,v5). [para(14548(a,1),13795(a,2,1))]. 14553 K(x,1 / x) * (y / z) = y / (1 / (1 / z)). [para(5826(a,1),14549(a,1,2)),flip(a)]. 14555 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(14553(a,1),8872(a,1,2,1))]. 14556 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(14553(a,1),14079(a,1,2,2)),flip(a)]. 14557 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13527(a,1),14555(a,1,2,1,2,2))]. 14558 x * K(y,L(z,u,(u * z) \ x)) = (x / (u * T(z,y))) * (u * z). [hyper(62,a,11863,a(flip),b,14551,a)]. 14559 K(x,L(y \ (z * u),u,z \ 1)) = K(x,(u \ (z \ y)) \ 1). [hyper(14307,a,14325,a)]. 14560 K(x,L(y \ (z * u),u,z \ 1)) != w | K(x,(z \ y) \ u) = w. [para(14559(a,2),6979(a,1))]. 14561 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(286,a,7968,a,b,14426,a),flip(a)]. 14562 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((K(y,z) * u) \ 1). [hyper(286,a,6423,a(flip),b,14464,a),flip(a)]. 14563 K(x,L(T(y,(z * x) * u),T(z,x),u)) = K(x,L(T(y,z * u),T(z,x),u)). [hyper(286,a,14377,a(flip),b,14480,a),flip(a)]. 14564 K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),T(z,x),u)). [hyper(11845,a,14563,a)]. 14565 K(x,L(T(y,(z * x) * u),z,u)) = K(x,L(T(y,z * u),z,u)). [hyper(286,a,10539,a(flip),b,14564,a),flip(a)]. 14566 K(L(T(x,(y * z) * u),y,u),T(z,w)) = (K(z,L(T(x,y * u),y,u)) * w) \ w. [para(14565(a,1),7851(a,1,1,1)),flip(a)]. 14567 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(286,a,10299,a(flip),b,14561,a),flip(a)]. 14568 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6990,a,14567,a),flip(a)]. 14569 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(286,a,13152,a(flip),b,14568,a),flip(a)]. 14570 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(6740(a,1),14568(a,2,2,1))]. 14571 x * (K(y,L(z,u,u \ (x \ 1))) \ 1) = (x / (u \ 1)) * ((u \ 1) * K(z,y)). [para(6402(a,1),14562(a,2,2))]. 14572 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y,y \ (x \ 1))). [para(11785(a,1),14571(a,1,2)),flip(a)]. 14573 x * K(y,L(z,u,u \ (x \ 1))) = (x / (u \ 1)) * (u \ K(y,z)). [para(13512(a,1),14572(a,1,2)),flip(a)]. 14574 (x * (y \ 1)) * K(z,L(u,y,y \ ((x * (y \ 1)) \ 1))) = x * (y \ K(z,u)). [para(11(a,1),14573(a,2,1))]. 14575 (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((x \ K(y,z)) / (v5 \ 1)) * (v5 \ K(u,w)). [para(13620(a,1),14573(a,1,2,2,3,2))]. 14576 (x * (y \ 1)) * K(z,L(u,y,y \ (y * (x \ 1)))) = x * (y \ K(z,u)). [para(6403(a,1),14574(a,1,2,2,3,2))]. 14577 (x * (y \ 1)) * K(z,L(u,y,x \ 1)) = x * (y \ K(z,u)). [para(9(a,1),14576(a,1,2,2,3))]. 14579 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,(v6 * v5) \ 1)). [hyper(286,a,14340,a(flip),b,14342,a),flip(a)]. 14581 K(x,L(y,z,(a(u,w,u) \ v5) \ (v6 \ 1))) = K(x,L(y,z,v5 \ (v6 \ 1))). [hyper(286,a,14339,a(flip),b,14579,a),flip(a)]. 14582 K(x,L(y,z,u \ (a(w,v5,w) * (v6 \ 1)))) = K(x,L(y,z,u \ (v6 \ 1))). [para(12880(a,1),14581(a,1,2,3))]. 14583 K(x,L(y,z,u \ (w \ a(v5,v6,v5)))) = K(x,L(y,z,u \ (w \ 1))). [para(13015(a,1),14582(a,1,2,3,2))]. 14584 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(L(T(x,y * u),y,u),T(z,w)). [hyper(286,a,7851,a(flip),b,14566,a),flip(a)]. 14585 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(T(x,y * u),L(T(z,w),y,u)). [hyper(286,a,11780,a(flip),b,14584,a),flip(a)]. 14586 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,T(L(T(z,w),y,u),y * u)). [hyper(286,a,7777,a(flip),b,14585,a),flip(a)]. 14587 K(L(T(x,(y * z) * u),y,u),T(z,w)) = K(x,L(T(T(z,w),y * u),y,u)). [para(25(a,2),14586(a,2,2))]. 14588 K(T(x,(y * z) * u),L(T(z,w),y,u)) = K(x,L(T(T(z,w),y * u),y,u)). [hyper(11807,a,14587,a)]. 14589 K(x,T(L(T(y,z),u,w),(u * y) * w)) = K(x,L(T(T(y,z),u * w),u,w)). [hyper(7981,a,14588,a)]. 14590 K(x,L(T(T(y,z),(u * y) * w),u,w)) = K(x,L(T(T(y,z),u * w),u,w)). [para(25(a,2),14589(a,1,2))]. 14591 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14350(a,1),14345(a,2,1))]. 14592 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(286,a,14283,a(flip),b,14591,a),flip(a)]. 14593 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(93(a,1),14592(a,1,2,2))]. 14594 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11395(a,1),14593(a,1,2,2))]. 14595 K(x,L((y \ z) / T(u / K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(11119(a,1),14434(a,2,2,1))]. 14597 K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,(y \ z) \ z)) * u. [hyper(62,a,14529,a(flip),b,14437,a),flip(a)]. 14598 K(x,L(y,z,u)) * ((y \ z) * u) = ((y \ z) * K(x,T(y,z))) * u. [para(7722(a,1),14597(a,2,1,2))]. 14599 K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(8024(a,1),14598(a,2,1))]. 14600 T(R(x,x \ y,z),u) \ (y * z) = (T(x,u) \ y) * z. [hyper(62,a,14538,a,b,14599,a)]. 14601 K(x,T(y,z)) * ((T(y,z) \ y) * u) = (T(T(y,z),x) \ y) * u. [para(11749(a,1),14599(a,1,1))]. 14602 K(x,T(y,z)) * (K(z,y) * u) = (T(T(y,z),x) \ y) * u. [para(4603(a,2),14601(a,1,2,1))]. 14603 T(T(x,y),z) \ (x * u) = (T(T(x,y),z) \ x) * u. [hyper(6070,a,14602,a)]. 14604 ((K(x,y) / (z * u)) * z) / a(z,z * u,K(x,y)) = K(x,y) / L(u,z,z \ 1). [para(14474(a,1),14183(a,1,2))]. 14605 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [hyper(62,a,14203,a(flip),b,14292,a),flip(a)]. 14606 K((x \ y) \ y,z \ (u \ w)) = K(x,T(L((u * z) \ w,z,u \ 1),y)). [hyper(7986,a,14605,a),flip(a)]. 14607 K(x,y \ (z \ ((z * y) * u))) = K(x,L(u,y,z \ 1)). [para(9(a,1),14605(a,1,2,1)),flip(a)]. 14609 K(x,L((L(y,z,u) \ y) \ w,y,(L(y,z,u) \ 1) \ 1)) = K(x,y \ ((L(y,z,u) \ 1) \ w)). [para(4902(a,1),14605(a,1,2,1,1))]. 14610 K(x,L(((y * z) \ 1) \ u,y \ 1,(z \ 1) \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [para(6394(a,1),14605(a,1,2,1,1))]. 14611 K(x,L((y / (z * u)) \ w,K(u,z),(y / (u * z)) \ 1)) = K(x,K(u,z) \ ((y / (u * z)) \ w)). [para(10819(a,1),14605(a,1,2,1,1))]. 14612 x \ ((x * y) * K(z,u)) = y * K(z,L(u,y,x \ 1)). [para(14607(a,1),11920(a,1,2)),flip(a)]. 14613 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [para(10(a,1),14612(a,1,2,1)),flip(a)]. 14614 T(x,((y * z) * K(u,w)) \ y) = T(x,(z * K(u,L(w,z,y \ 1))) \ 1). [para(14612(a,1),6745(a,1,2,1)),flip(a)]. 14615 K((x \ y) \ y,z \ (u \ w)) = K(x,L(T((u * z) \ w,y),z,u \ 1)). [para(25(a,2),14606(a,2,2))]. 14616 T(x,((y * z) * K(u,w)) \ y) = T(x,K(L(w,z,y \ 1),u) / z). [para(13591(a,1),14614(a,2,2))]. 14617 T(x,((y * z) * K(u,w)) \ y) = T(x,K(w,L(u,z,y \ 1)) / z). [para(11780(a,1),14616(a,2,2,1))]. 14618 K(x,L(T((y * z) \ u,w),z,y \ 1)) != v5 | K(x,T(z \ (y \ u),w)) = v5. [para(14615(a,1),7986(a,1))]. 14619 K(x,L(((y * z) \ 1) \ u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [hyper(14390,a,14610,a)]. 14620 K(x,L((y * z) * u,y,z \ 1)) = K(x,(y \ 1) \ ((z \ 1) \ u)). [hyper(62,a,14541,a(flip),b,14619,a)]. 14621 K(x,L((y * z) * u,y,z \ 1)) = K(x,y * ((z \ 1) \ u)). [hyper(286,a,13500,a(flip),b,14620,a),flip(a)]. 14622 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ T(R(x,y,y \ 1),z). [para(4667(a,2),14372(a,2,1))]. 14624 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = T(x,z) \ R(T(x,z),y,y \ 1). [para(27(a,2),14622(a,2,2))]. 14625 L(a(x,y,y \ 1),x,K(R(x,y,y \ 1),z)) = a(T(x,z),y,y \ 1). [hyper(286,a,717,a(flip),b,14624,a),flip(a)]. 14626 L(a(x,y,y \ 1),x,K(x,L(z,y,y \ 1))) = a(T(x,z),y,y \ 1). [para(14364(a,1),14625(a,1,3))]. 14627 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(3873,a,14626,a),flip(a)]. 14628 a(T(x,y),z \ 1,z) = a(x,z \ 1,(z \ 1) \ 1). [hyper(12414,a,14627,a)]. 14630 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(25(a,2),14627(a,1,1))]. 14631 a(R(T(x,y),z,u),w,w \ 1) = a(R(x,z,u),w,w \ 1). [para(27(a,2),14627(a,1,1))]. 14632 a(x \ y,z,z \ 1) = a(y / x,z,z \ 1). [para(110(a,1),14627(a,1,1))]. 14633 a(R(x \ y,x,z),u,u \ 1) = a((y * z) / (x * z),u,u \ 1). [para(612(a,1),14627(a,1,1))]. 14634 (T(x,y) / y) * a(T(y,x) \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). [para(14632(a,2),4051(a,1,2))]. 14635 a(T(x,y),z \ 1,z) = a(x,z \ 1,z). [hyper(286,a,12407,a(flip),b,14628,a),flip(a)]. 14636 a(x \ y,z \ 1,z) = a(y / x,z \ 1,z). [para(110(a,1),14635(a,1,1))]. 14637 a(x \ 1,x,(y / z) \ 1) = a(z \ y,x \ 1,x). [hyper(286,a,6528,a,b,14636,a)]. 14638 a((x \ 1) \ y,z \ 1,z) = a(z \ 1,z,x \ (y \ 1)). [para(6422(a,1),14637(a,1,3)),flip(a)]. 14639 a(R(x \ y,x,z),u,u \ 1) = a((x * z) \ (y * z),u,u \ 1). [hyper(286,a,14632,a,b,14633,a),flip(a)]. 14640 a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(T(z,T(u,x)),x,y),w,w \ 1). [para(9412(a,1),14639(a,1,1,1)),flip(a)]. 14641 K((x * y) * T(z,y),u) * K(x,K(z * y,L(u,y,z))) = K((z * y) * R(x,y,z),u). [para(8056(a,1),14382(a,1,2))]. 14642 x * ((L(x,y,z) \ 1) * K(u,w)) = (L(x,y,z) \ x) * K(u,w). [para(14295(a,1),14424(a,1,2)),flip(a)]. 14643 (L(x,y,z) \ x) * K(u,w) = x * (L(x,y,z) \ K(u,w)). [para(13512(a,1),14642(a,1,2)),flip(a)]. 14645 x * (L(x,y \ 1,y) \ K(z,u)) = a(y,y \ 1,x) * K(z,u). [para(713(a,1),14643(a,1,1)),flip(a)]. 14646 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12473(a,1),14497(a,1,1))]. 14647 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8115(a,1),14646(a,1,1,2))]. 14648 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(12839,a,14647,a)]. 14649 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8273(a,2),14648(a,1,2,2))]. 14650 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9153(a,2),14649(a,1,2))]. 14651 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(9488(a,2),14650(a,1,2,2,2))]. 14652 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(10(a,1),14569(a,1,2,1,2))]. 14653 K((x * y) * T(z,y),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(12709(a,1),14641(a,1,2))]. 14654 K(x * (y * T(y \ (x \ z),y)),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). [para(805(a,1),14653(a,1,1,1))]. 14655 K(x,L(y,z * u,a(x,z,K(u,y)))) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [para(14176(a,1),14441(a,1,1,2,3))]. 14656 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(286,a,13833,a(flip),b,14556,a),flip(a)]. 14658 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(251(a,1),14656(a,2,2))]. 14659 a((x * y) \ ((K(z,u) * (x * z)) * y),w,w \ 1) = a(R(z,x,y),w,w \ 1). [hyper(286,a,14631,a(flip),b,14640,a),flip(a)]. 14661 K(((L(x,y,z) \ 1) * x) \ u,w) = K((L(x,y,z) \ 1) \ (x \ u),w). [hyper(62,a,14295,a(flip),b,14422,a),flip(a)]. 14663 K(((L(x,y,z) \ 1) * x) \ u,w) = K(L(x,y,z) * (x \ u),w). [hyper(286,a,13494,a(flip),b,14661,a),flip(a)]. 14664 K((L(x,y,z) \ x) \ u,w) = K(L(x,y,z) * (x \ u),w). [para(4902(a,1),14663(a,1,1,1))]. 14665 K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). [para(6339(a,1),14664(a,1,1,1)),flip(a)]. 14666 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,u). [hyper(286,a,14519,a(flip),b,14439,a),flip(a)]. 14668 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(T(x,K(y,z)) / (u * (x * K(y,z))),w). [para(5845(a,1),14477(a,2,1,1))]. 14669 K(x,L((L(y,z,u) \ y) \ w,y,L(y,z,u))) = K(x,y \ ((L(y,z,u) \ 1) \ w)). [para(3508(a,1),14609(a,1,2))]. 14670 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(7851(a,2),14651(a,1,2,2))]. 14671 (x \ K(y,z)) * K(u,L(w,v5,v5 \ (K(z,y) * x))) = ((v5 \ (K(z,y) * x)) \ 1) * (v5 \ K(u,w)). [para(13626(a,2),14575(a,2,1))]. 14672 K(((K(x,x \ y) \ z) * K(x,x \ y)) / (x * (y / x)),u) = K((x * (y / x)) \ z,T(u,y)). [para(4674(a,1),14476(a,2,1,1))]. 14673 K(T(x,K(y,y \ z)) / (y * (z / y)),u) = K((y * (z / y)) \ x,T(u,z)). [para(7896(a,1),14672(a,1,1,1))]. 14674 T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * ((y * ((x * y) \ 1)) * 1). [para(6701(a,1),14214(a,1,2,2)),flip(a)]. 14675 T((x * L(x \ 1,y \ 1,y)) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). [para(8(a,1),14674(a,2,2))]. 14677 T((x * (y * ((x * y) \ 1))) \ 1,z) \ 1 = x * (y * ((x * y) \ 1)). [para(6398(a,1),14675(a,1,1,1,1,2))]. 14678 T(((x * y) * (y \ 1)) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(6415(a,1),14677(a,1,1,1))]. 14679 T(R(x,y,y \ 1) * (x \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(458(a,1),14678(a,1,1,1,1))]. 14680 T(x \ R(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(1045(a,1),14679(a,1,1,1))]. 14681 T(a(x,y,y \ 1),z) \ 1 = x * (y * ((x * y) \ 1)). [para(717(a,1),14680(a,1,1,1))]. 14682 x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. [para(107(a,1),14681(a,1,1)),flip(a)]. 14683 a(x * y,y \ 1,y) \ 1 = a(x,y,y \ 1) \ 1. [hyper(62,a,12342,a,b,14682,a)]. 14684 a(x / y,y,y \ 1) \ 1 = a(x,y \ 1,y) \ 1. [para(12(a,1),14683(a,1,1,1)),flip(a)]. 14685 a(x \ y,x,x \ 1) \ 1 = a(y,x \ 1,x) \ 1. [para(14632(a,2),14684(a,1,1))]. 14686 a(x \ y,x,x \ 1) = a(y,x \ 1,x). [hyper(47,a,14685,a)]. 14687 a((x \ 1) \ y,x \ 1,(x \ 1) \ 1) \ 1 = a(y,x,x \ 1) \ 1. [para(4893(a,1),14685(a,2,1,2))]. 14689 a((x \ 1) \ y,x \ 1,x) \ 1 = a(y,x,x \ 1) \ 1. [para(3513(a,1),14687(a,1,1))]. 14690 a(x \ 1,x,x \ (y \ 1)) \ 1 = a(y,x,x \ 1) \ 1. [para(14638(a,1),14689(a,1,1))]. 14691 a(x \ 1,y,y \ 1) \ 1 = a(y \ 1,y,y \ x) \ 1. [para(4893(a,1),14690(a,1,1,3,2)),flip(a)]. 14692 a(x \ 1,x,x \ y) \ 1 = a(x,x \ 1,y) \ 1. [para(6999(a,1),14691(a,1,1)),flip(a)]. 14693 a(x \ 1,x,x \ y) = a(x,x \ 1,y). [hyper(47,a,14692,a)]. 14694 a(x,x \ 1,(x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)). [hyper(62,a,7437,a(flip),b,14693,a),flip(a)]. 14696 a(x,x \ 1,x * y) = a(x \ 1,x,y). [para(9(a,1),14693(a,1,3)),flip(a)]. 14697 a((x * y) \ 1,x,x \ 1) = a(x \ 1,x,y). [hyper(7001,a,14696,a)]. 14698 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(8327(a,1),14460(a,1,2)),flip(a)]. 14699 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),14698(a,2,2,1))]. 14700 K(x,L(x \ R(y,z,u),x,z * u)) = ((y * z) * u) / (((x \ R(y,z,u)) * x) * (z * u)). [hyper(11771,a,14398,a)]. 14701 ((x * y) * z) / (((u \ R(x,y,z)) * u) * (y * z)) = K(u,u \ R(x,y,z)). [hyper(10625,a,14700,a),flip(a)]. 14703 ((x * y) * z) / (R((u \ x) * u,y,z) * (y * z)) = K(u,u \ R(x,y,z)). [para(3583(a,2),14701(a,1,2,1))]. 14704 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,u \ R(x,y,z)). [para(104(a,1),14703(a,1,2))]. 14705 (x * a(y,z,z \ 1)) / ((a(y,z,z \ 1) * K(u,w)) * x) = K(w,L(u,a(y,z,z \ 1),x)). [para(10754(a,1),14467(a,2,2,1))]. 14706 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),14570(a,1,2,1,2))]. 14707 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(7032(a,2),14670(a,1,2))]. 14708 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8115(a,1),14707(a,1,2,1,2))]. 14709 x \ T(y * T(x,K(z,u)),K(z \ 1,u)) = T(y,K(u,z \ 1) * x). [para(8372(a,1),14707(a,1,2,1,2))]. 14710 x \ T(y * T(x,K(z,u \ w)),K(z,w \ u)) = T(y,K(w \ u,z) * x). [para(8413(a,1),14707(a,1,2,1,2))]. 14711 x \ T(y * T(x,K(z,u / (w * ((v5 \ 1) * v6)))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). [para(13617(a,1),14707(a,1,2,1,2,2))]. 14712 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8115(a,1),14708(a,1,2))]. 14713 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(131,a,14712,a),flip(a)]. 14714 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(62,a,14707,a(flip),b,14712,a)]. 14715 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(115,a,14714,a,b,4659,a(flip))]. 14716 (K(x,y) * z) * T(u,K(y,x) * z) = u * (K(x,y) * z). [para(14714(a,1),108(a,1,2))]. 14717 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4675(a,1),14714(a,1,2)),flip(a)]. 14718 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5741(a,1),14714(a,1,2)),flip(a)]. 14719 ((x * K(y,z)) * u) / T(x,K(z,y) * u) = ((K(y,z) * u) * R(x,K(y,z),u)) / x. [para(14714(a,1),14468(a,1,2))]. 14720 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4728,a,14715,a)]. 14721 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(14715(a,1),4728(a,1))]. 14722 K(x,K(y \ z,y) * u) = K(x,K(y,z) * u). [hyper(286,a,13131,a(flip),b,14720,a),flip(a)]. 14724 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(4675(a,1),14720(a,1,2)),flip(a)]. 14725 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5741(a,1),14720(a,1,2)),flip(a)]. 14726 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7834(a,1),14720(a,1,2)),flip(a)]. 14727 K(x,y \ (K(z,u) * w)) * K(x,K(y,K(u,z) * w)) = K(x,(K(z,u) * w) / y). [para(14720(a,1),8683(a,1,2,2))]. 14728 K(x,K(y,z) * ((y * z) * u)) = K(x,(z * y) * u). [para(11376(a,1),14720(a,1,2)),flip(a)]. 14729 K(x,K(L(y,z,u),w) * (z * u)) = K(x,(K(w,y) * z) * u). [para(14399(a,1),14720(a,1,2)),flip(a)]. 14730 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5840(a,1),14717(a,1,2))]. 14731 T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u). [para(5716(a,2),14718(a,1,2))]. 14732 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(286,a,14720,a,b,14722,a),flip(a)]. 14733 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(286,a,14715,a,b,14722,a),flip(a)]. 14734 K(x,K(y,z * y) * u) = K(x,K(z,y) * u). [para(4776(a,1),14722(a,1,2,1)),flip(a)]. 14735 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(5885(a,1),14724(a,1,2))]. 14736 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(6020(a,1),14724(a,1,2)),flip(a)]. 14737 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5716(a,2),14725(a,1,2))]. 14738 K(x,T(y \ z,y) \ u) = K(x,(z / y) \ u). [para(6001(a,1),14725(a,1,2)),flip(a)]. 14739 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(204(a,1),14730(a,1,2,1)),flip(a)]. 14740 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12152,a,14739,a),flip(a)]. 14741 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4023(a,1),14737(a,1,2,1))]. 14742 K(x,((y \ ((z \ 1) * y)) \ 1) \ u) = K(x,T(z,y \ 1) \ u). [para(6421(a,2),14737(a,1,2,1))]. 14743 K(x,K(y,z) * (((y \ z) \ 1) * u)) = K(x,(z / y) \ u). [hyper(62,a,13565,a,b,14738,a)]. 14744 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(14722(a,2),14721(a,1))]. 14745 K(x,K(y \ z,y) * u) != w | K(x,K(y,z) * u) = w. [para(14732(a,2),14721(a,1))]. 14746 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(11457(a,1),14728(a,1,2))]. 14747 K(x,(y * z) * u) * K(x,K(T(z,y) * y,u)) = K(x,u * (T(z,y) * y)). [para(14746(a,1),12192(a,1,1))]. 14748 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [hyper(4662,a,14733,a)]. 14749 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(9(a,1),14748(a,1,2,1,1)),flip(a)]. 14750 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(62,a,14714,a,b,14749,a)]. 14751 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12153,a,14750,a),flip(a)]. 14752 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12137,a,14740,a),flip(a)]. 14753 T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. [para(14740(a,1),12137(a,1))]. 14754 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(203(a,1),14752(a,1,2,2,1)),flip(a)]. 14755 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14754(a,1),4617(a,2,2))]. 14756 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(286,a,4617,a,b,14755,a),flip(a)]. 14757 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1329(a,1),14756(a,2,1))]. 14758 K(x * (y * K(z,y)),u) = K(x * T(y,z),u). [para(4636(a,1),14756(a,1,1,2))]. 14759 K((x * y) * (z * K(y,z)),u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(14758(a,2),14653(a,1,1))]. 14760 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(62,a,14054,a(flip),b,14741,a),flip(a)]. 14762 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(12(a,1),14760(a,1,2,1,1)),flip(a)]. 14763 K(x,L((y / z) \ u,y / z,z)) = K(x,T(y,z) \ (z * u)). [para(94(a,2),14762(a,1,2))]. 14764 K(x,((y \ 1) * ((y \ z) \ 1)) \ u) = K(x,T(z \ 1,y \ 1) \ u). [para(6395(a,1),14762(a,1,2,1,2))]. 14765 K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. [para(14720(a,1),14745(a,1))]. 14767 K(x,(T(y \ 1,z) \ 1) \ u) = K(x,T(y,z \ 1) \ u). [para(22(a,2),14742(a,1,2,1,1))]. 14768 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(13568,a,14767,a),flip(a)]. 14769 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12151,a,14751,a),flip(a)]. 14770 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z \ 1) * x). [para(8372(a,1),14709(a,1,2))]. 14771 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(62,a,14707,a(flip),b,14770,a),flip(a)]. 14772 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(6455(a,1),14771(a,1,2,1)),flip(a)]. 14773 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(115,a,14772,a(flip),b,4659,a(flip)),flip(a)]. 14774 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8124(a,1),14772(a,1,2)),flip(a)]. 14775 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(286,a,4614,a,b,14773,a),flip(a)]. 14776 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(14773(a,2),4728(a,1))]. 14777 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(14721,a,14775,a)]. 14778 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5703(a,1),14775(a,1,2)),flip(a)]. 14779 K(x,K(y,z \ 1) * u) = K(x,K(y,z) * u). [para(6455(a,1),14775(a,1,2,1)),flip(a)]. 14781 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(14775(a,1),10034(a,1,1))]. 14782 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6717(a,1),14777(a,1,2,1)),flip(a)]. 14783 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8390(a,1),14777(a,1,2)),flip(a)]. 14784 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(14777(a,1),10035(a,1,1))]. 14785 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(14777(a,2),14721(a,1))]. 14786 K(x,K(y,(z \ (u \ 1)) * (w \ 1)) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). [para(6424(a,1),14779(a,1,2,1,2))]. 14787 (x * K(y,K(z,u) * w)) \ x = K(K(z,u \ 1) * w,y). [para(14779(a,1),6895(a,1,1,2))]. 14788 K(x,K(y,((z * u) / z) \ 1) * w) = K(x,K(y,T(u,z)) * w). [para(8170(a,1),14779(a,2,2,1))]. 14789 K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(((u \ 1) \ z) * y,w) * v5). [para(13710(a,1),14779(a,1,2,1))]. 14790 K(x,K(((y \ 1) / z) / u,w) * v5) = K(x,K(u * ((z \ 1) \ y),w) * v5). [para(13716(a,1),14779(a,1,2,1))]. 14791 K(x,K(y,z \ 1) * u) != w | K(x,K(z,y) * u) = w. [para(14779(a,2),14721(a,1))]. 14792 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(14744,a,14782,a),flip(a)]. 14793 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u \ z) * w) = v5. [para(14782(a,1),14721(a,1))]. 14794 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(62,a,14725,a(flip),b,14792,a)]. 14795 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7834(a,1),14792(a,1,2))]. 14796 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5741(a,1),14794(a,2,2))]. 14798 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u \ K(z,y),w) * v5) = v6. [para(13620(a,1),14776(a,1,2,1,1))]. 14799 K(x,K(y \ ((z \ 1) / u),w) * v5) != v6 | K(x,K(((u \ 1) \ z) * y,w) * v5) = v6. [para(13710(a,1),14785(a,1,2,1))]. 14800 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4704(a,1),14778(a,1,2,2)),flip(a)]. 14801 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8124(a,1),14783(a,1,2)),flip(a)]. 14802 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(14801(a,1),4794(a,1,2)),flip(a)]. 14803 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(286,a,4794,a(flip),b,14802,a),flip(a)]. 14804 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(12131,a,14803,a)]. 14805 K((x * y) * K(z,(L(u,y,x) \ 1) \ 1),w) = K(x * (y * K(u \ 1,z)),w). [para(6247(a,1),14803(a,2,1))]. 14806 K(K(x,y \ 1) * z,u) = K(K(x,y) * z,u). [hyper(6902,a,14787,a),flip(a)]. 14807 K(K(x,y \ 1) * z,u) != w | K(K(x,y) * z,u) = w. [para(14787(a,1),6902(a,1))]. 14808 K(T(x \ 1,y) * z,u) = K(K(x,y) * (x \ z),u). [hyper(62,a,13847,a(flip),b,14806,a)]. 14809 K(K(x \ y,z) * u,w) = K(K(y \ x,z) * u,w). [para(6787(a,1),14806(a,1,1,1))]. 14810 K(K(x,y \ (z \ 1)) * u,w) = K(K(x,z * y) * u,w). [para(13506(a,1),14806(a,1,1,1))]. 14811 K(K(x \ ((y \ 1) \ z),u) * w,v5) = K(K(((z \ 1) / y) * x,u) * w,v5). [para(13711(a,1),14806(a,1,1,1))]. 14812 K(K(x,L(y,z,u) \ 1) * (z * u),w) = K((K(x,y) * z) * u,w). [para(14399(a,1),14806(a,2,1))]. 14813 K(K(x \ ((y \ 1) * z),u) * w,v5) = K(K(((z \ 1) * y) * x,u) * w,v5). [para(13539(a,1),14809(a,1,1,1)),flip(a)]. 14814 K(K(x \ y,z) * u,w) != v5 | K(K(y \ x,z) * u,w) = v5. [para(6787(a,1),14807(a,1,1,1))]. 14816 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8385(a,1),14774(a,1,2,2))]. 14817 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(108(a,1),14816(a,1,2)),flip(a)]. 14818 K(x,K(y,z / (z * u)) * w) = K(x,K(y,T(u,z)) * w). [para(5964(a,1),14788(a,1,2,1))]. 14819 K(K(x,L(y \ 1,z,u)) * (z * u),w) = K((K(x,y) * z) * u,w). [para(11748(a,2),14812(a,1,1,1))]. 14820 K((K(x,y \ 1) * z) * u,w) = K((K(x,y) * z) * u,w). [para(14399(a,1),14819(a,1,1))]. 14821 K(x,T(y \ 1,z \ 1) \ u) = K(x,(((z \ y) * z) \ 1) \ u). [para(6394(a,1),14764(a,1,2,1)),flip(a)]. 14822 K(x,T(y \ 1,z \ 1) \ u) = K(x,((z \ y) * z) * u). [hyper(286,a,13500,a(flip),b,14821,a),flip(a)]. 14823 K(x,T(y \ 1,z \ 1) \ u) != w | K(x,((z \ y) * z) * u) = w. [para(14821(a,2),13568(a,1))]. 14824 K(x,(((K(y,z) * u) \ w) * (K(y,z) * u)) * v5) = K(x,T(w \ 1,u \ K(z,y)) \ v5). [para(13570(a,1),14822(a,1,2,1,2)),flip(a)]. 14825 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(286,a,14726,a(flip),b,14795,a),flip(a)]. 14826 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10388(a,1),14825(a,1,2))]. 14827 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14706,a(flip),b,14826,a)]. 14828 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(6365(a,1),14826(a,1,2,2,2)),flip(a)]. 14829 K(x,(y * z) * u) * K(x,K(y * z,u)) = K(x,u * (T(z,y) * y)). [para(12126(a,1),14747(a,1,2,2))]. 14830 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [hyper(62,a,12192,a(flip),b,14829,a),flip(a)]. 14831 K(x,y * (T(z,u \ (w * v5)) * (u \ T(v5 * w,v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). [para(13125(a,1),14830(a,1,2,2,1))]. 14833 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9925,a,14781,a),flip(a)]. 14834 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6368(a,1),14833(a,1,2,1))]. 14835 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9925,a,14784,a),flip(a)]. 14836 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(7160(a,1),14835(a,1,2,1))]. 14837 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(8067(a,1),14836(a,2,2))]. 14838 K((x * y) * K(z,L(u,y,x)),w) = K(x * (y * K(u \ 1,z)),w). [para(3314(a,1),14805(a,1,1,2))]. 14839 K(T(x,y) * (x \ (z * (y \ 1))),u) = K(z * ((y \ 1) * K(y \ 1,((z * (y \ 1)) \ (x \ (z * (y \ 1)))) \ 1)),u). [para(6970(a,2),14838(a,1,1))]. 14840 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1817(a,1),14757(a,1,1))]. 14841 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4648(a,1),14840(a,1,1,2)),flip(a)]. 14842 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4615(a,1),14841(a,1,1,2))]. 14843 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(14842(a,1),13580(a,1,1,2))]. 14844 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(13581,a,14843,a),flip(a)]. 14845 K(x,K(y,(z \ (u \ 1)) / w) * v5) = K(x,K(y,w * (u / (z \ 1))) * v5). [para(13554(a,1),14786(a,1,2,1))]. 14846 K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K((z * y) * R(x,y,z),u). [para(6834(a,1),14759(a,1,1,1))]. 14847 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14834,a(flip),b,14827,a)]. 14848 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,14052,a(flip),b,14847,a)]. 14849 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4659(a,2),14848(a,1,2,1))]. 14850 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(3913(a,1),14849(a,1,2,1))]. 14851 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),14850(a,1,2,2,1))]. 14852 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(108(a,1),14851(a,1,2,2,2,2))]. 14853 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8317(a,1),14852(a,2,2))]. 14855 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8183(a,1),14800(a,2,2,1))]. 14856 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8146(a,1),14855(a,2,2))]. 14857 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4704(a,1),14856(a,1,2,2,1,2))]. 14858 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5700(a,1),14857(a,1,2))]. 14859 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(14858(a,1),4794(a,1,2)),flip(a)]. 14860 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(286,a,4794,a(flip),b,14859,a),flip(a)]. 14861 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(62,a,12106,a(flip),b,14860,a),flip(a)]. 14862 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(62,a,14804,a,b,14861,a)]. 14863 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12216,a,14862,a)]. 14864 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(286,a,12211,a(flip),b,14863,a)]. 14865 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4480(a,1),14864(a,1,1))]. 14866 K(((x * y) / x) / z,u) != w | K(T(y,x) / z,u) = w. [para(14865(a,1),8347(a,1))]. 14867 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(14866,a,10322,a(flip)),flip(a)]. 14868 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(13188,a,14867,a),flip(a)]. 14869 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(13192,a,14868,a),flip(a)]. 14870 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4670(a,1),14869(a,1,1,2)),flip(a)]. 14871 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(14870(a,1),4794(a,1,2)),flip(a)]. 14872 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(286,a,4794,a(flip),b,14871,a),flip(a)]. 14873 K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). [para(110(a,1),14872(a,1,2,2,1))]. 14874 K(x,y \ ((z * u) / z)) = K(x,y \ T(u,z)). [para(203(a,1),14872(a,1,2,2,1)),flip(a)]. 14875 K(x,y \ (T(z,z * u) * u)) = K(x,y \ T(z * u,z)). [para(3689(a,1),14872(a,1,2,2,1)),flip(a)]. 14876 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3954(a,1),14872(a,1,2,2,1))]. 14877 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4635(a,1),14872(a,1,2,2,1)),flip(a)]. 14878 K(x,y \ (((z * u) \ 1) / (u \ 1))) = K(x,y \ T(z \ 1,u \ 1)). [para(6394(a,1),14874(a,1,2,2,1))]. 14879 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(9633,a,14877,a)]. 14880 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2930(a,2),14879(a,1,2,2))]. 14881 K(x,y \ (T(z,z * u) * u)) = K(x,y \ (u * z)). [hyper(286,a,13120,a(flip),b,14875,a),flip(a)]. 14882 K(x,y * (z \ (T(u,u * w) * w))) * K(x,K(y,z \ (w * u))) = K(x,(z \ (T(u,u * w) * w)) * y). [para(14881(a,1),12192(a,1,2,2))]. 14883 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(62,a,13120,a(flip),b,14876,a)]. 14884 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3924(a,1),14883(a,1,2,2)),flip(a)]. 14885 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(62,a,14853,a(flip),b,14884,a),flip(a)]. 14886 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(8968(a,1),14885(a,1,2,2,2))]. 14887 K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ ((u \ (z * u)) \ 1)). [para(6395(a,1),14878(a,1,2,2)),flip(a)]. 14888 K(x,y \ T(z \ 1,u \ 1)) = K(x,y \ (T(z,u) \ 1)). [para(22(a,2),14887(a,2,2,2,1))]. 14889 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(4893(a,1),14828(a,2,2,2,2,1))]. 14890 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8319(a,1),14889(a,1,2))]. 14891 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(10096(a,1),14890(a,1,2)),flip(a)]. 14892 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(286,a,8423,a(flip),b,14891,a),flip(a)]. 14894 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(62,a,14652,a(flip),b,14892,a)]. 14895 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(3953(a,1),14894(a,1,2,2,1))]. 14896 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(8822(a,1),14837(a,1,2,2,2))]. 14897 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(8060(a,2),14896(a,1,2,2))]. 14899 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8416(a,1),14897(a,1,2)),flip(a)]. 14900 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(286,a,6729,a(flip),b,14899,a),flip(a)]. 14901 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(62,a,14054,a(flip),b,14900,a)]. 14902 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6993,a,14901,a),flip(a)]. 14907 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(62,a,14844,a,b,14902,a)]. 14908 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(62,a,14880,a(flip),b,14907,a),flip(a)]. 14909 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(62,a,14879,a(flip),b,14908,a),flip(a)]. 14910 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(73(a,1),14909(a,1,2,2,2)),flip(a)]. 14911 K(x,y \ T(z \ 1,u)) = K(x,y \ (T(z,u) \ 1)). [hyper(62,a,14888,a(flip),b,14910,a),flip(a)]. 14912 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8472(a,1),14910(a,1,2,2))]. 14914 K(x \ y,z \ T(u \ 1,w)) != v5 | K(y \ x,T(u,w) * z) = v5. [para(14911(a,2),13703(a,1))]. 14915 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(9699(a,1),14895(a,1,2,1))]. 14916 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3953(a,1),14915(a,1,2,2,2,2))]. 14918 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(62,a,14796,a(flip),b,14916,a)]. 14919 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(13102(a,1),14918(a,2,2))]. 14920 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(62,a,14884,a(flip),b,14919,a)]. 14921 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(62,a,13126,a(flip),b,14886,a)]. 14922 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14817(a,1),14921(a,1,2,2))]. 14923 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5991(a,1),14922(a,1,2,2,2,2))]. 14924 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14769(a,1),14923(a,1,2,2))]. 14925 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4659(a,2),14924(a,1,2,2,2))]. 14926 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(13148,a,14925,a),flip(a)]. 14927 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(286,a,14760,a(flip),b,14926,a),flip(a)]. 14928 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8471(a,1),14927(a,1,2))]. 14929 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(8483,a,14928,a)]. 14930 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(5702(a,1),14929(a,2,2,1))]. 14931 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (x \ (x * (y \ 1)))) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),14839(a,1,1,2)),flip(a)]. 14932 K(x * ((y \ 1) * K(y \ 1,((x * (y \ 1)) \ (y \ 1)) \ 1)),z) = K(T(x,y) * (y \ 1),z). [para(9(a,1),14931(a,1,1,2,2,2,1,2))]. 14934 K(x * ((y \ 1) * K(y \ 1,(y \ 1) \ (x * (y \ 1)))),z) = K(T(x,y) * (y \ 1),z). [para(6717(a,1),14932(a,1,1,2,2))]. 14935 K(x * ((y \ 1) * K(y \ 1,x)),z) = K(T(x,y) * (y \ 1),z). [para(4786(a,1),14934(a,1,1,2,2))]. 14936 K(T(x,y) * (y \ 1),z) = K(x * T(y \ 1,x),z). [para(4659(a,2),14935(a,1,1,2)),flip(a)]. 14937 K(T(x,y) * (y \ 1),z) = K((y \ 1) * x,z). [para(108(a,1),14936(a,2,1))]. 14938 K(x * ((y \ (x \ z)) * y),u) * K(x,K(u,((x * y) \ z) * y)) = K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u). [para(108(a,1),14654(a,1,1,1,2))]. 14939 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(8318(a,1),14930(a,2,2,2))]. 14940 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(8649(a,2),14939(a,2,2,2))]. 14941 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(286,a,14912,a(flip),b,14940,a),flip(a)]. 14942 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(286,a,14836,a(flip),b,14941,a),flip(a)]. 14943 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(286,a,14052,a(flip),b,14942,a),flip(a)]. 14944 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(4659(a,2),14943(a,2,2,1))]. 14945 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(286,a,14920,a(flip),b,14944,a),flip(a)]. 14946 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(10(a,1),14945(a,1,2,1,2))]. 14947 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7696(a,1),14946(a,1,2))]. 14948 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12112(a,1),14947(a,1,2)),flip(a)]. 14949 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(11(a,1),14948(a,1,2,1)),flip(a)]. 14950 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(76(a,1),14948(a,1,2,2)),flip(a)]. 14951 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(11(a,1),14949(a,1,2,1)),flip(a)]. 14952 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8482,a,14951,a)]. 14955 K(x,T(y,z * u)) != w | K(x,T(y,u \ z)) = w. [para(14951(a,1),8482(a,1))]. 14956 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(14951(a,1),8483(a,1))]. 14958 K(T(x,y * z),u) = K(x,T(u,z \ y)). [hyper(286,a,7777,a,b,14952,a)]. 14959 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(62,a,14951,a(flip),b,14952,a)]. 14960 K(x,T(y,L(z \ u,z,w))) = K(x,T(y,(w * u) * (w * z))). [para(94(a,2),14952(a,1,2,2))]. 14961 K(x,y) * K(y,T(x,z * u)) = K(x,K(y,u \ z)). [para(14952(a,1),8082(a,1,2))]. 14962 T(x * K(y,T(x,z * u)),y) = T(x,K(y,u \ z)). [para(14952(a,1),8335(a,1,1,2))]. 14963 (x \ K(y,T(z,u * w))) \ (x \ 1) = K(z,T(y,w \ u)). [hyper(62,a,13580,a,b,14958,a)]. 14964 K(x,T(y,z \ u)) != w | K(x,T(y,u * z)) = w. [para(14958(a,1),7981(a,1))]. 14965 K(L(x \ y,x,z),T(u,x * z)) = K((z * y) / (z * x),u). [hyper(8346,a,14959,a),flip(a)]. 14967 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(14959(a,1),7736(a,1,2))]. 14969 K(x * (y * z),T(u,z * y)) != w | K((y * z) * x,u) = w. [para(14959(a,1),12102(a,1))]. 14970 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [para(13674(a,1),14959(a,1,2)),flip(a)]. 14972 L(K(x,T(T(y,z),u * z)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(14959(a,1),14407(a,1,1))]. 14974 K(x,T(y,z \ u)) = K(x,T(y,u / z)). [hyper(62,a,11907,a(flip),b,14970,a),flip(a)]. 14975 K(x,T(y,(z \ 1) \ u)) = K(x,T(y,z \ (u \ 1))). [hyper(286,a,8430,a,b,14974,a),flip(a)]. 14976 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(62,a,14445,a,b,14974,a)]. 14977 K((x / y) / z,T(u,y \ x)) != w | K(z \ (x / y),u) = w. [para(14974(a,2),8254(a,1))]. 14979 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(14951(a,1),14964(a,1))]. 14981 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13720(a,2),14979(a,1,2))]. 14983 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(13169(a,1),14950(a,1,2))]. 14984 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(8243,a,14961,a),flip(a)]. 14985 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [hyper(8470,a,14962,a),flip(a)]. 14986 K(x,(y * z) \ u) * (z * y) = (z * y) * K(x,u / (y * z)). [para(8169(a,1),14967(a,1,2)),flip(a)]. 14987 K(x,T(y,z \ (u \ 1))) = K(x,T(y,z * u)). [para(13677(a,1),14975(a,1,2)),flip(a)]. 14988 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(14956,a,14983,a)]. 14990 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,u)). [hyper(62,a,8280,a,b,14988,a)]. 14991 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(14988(a,1),12464(a,1,1))]. 14992 K(x,K(y,z \ u)) = K(x,K(y,u / z)). [hyper(33,a,8093,a,b,14990,a),flip(a)]. 14993 K(x,K(y / z,u)) = K(x,K(u,z \ y)). [hyper(33,a,8043,a,b,14990,a)]. 14994 K(x,K(y,z \ u)) = K(x,K(y,z / u)). [hyper(8422,a,14992,a)]. 14995 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [hyper(8109,a,14992,a)]. 14996 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(286,a,11089,a,b,14992,a)]. 14997 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(62,a,11875,a,b,14992,a)]. 14998 (x / y) * K(z,K(u,y \ x)) = T(x / y,K(z,u)). [para(14992(a,2),8069(a,1,2))]. 14999 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(14992(a,2),8434(a,1))]. 15000 K(x,(y / z) * u) * K(x,K(u,z \ y)) = K(x,u * (y / z)). [para(14992(a,2),12194(a,1,2))]. 15001 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13498(a,2),14992(a,1,2))]. 15003 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(14993(a,1),8109(a,1))]. 15004 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),14994(a,1,2,2)),flip(a)]. 15005 K(x,(y / z) \ u) * K(x,K(u,y \ z)) = K(x,u / (y / z)). [para(14994(a,2),8717(a,1,2))]. 15006 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(14995(a,2),8109(a,1))]. 15007 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [para(11791(a,2),14995(a,1,2))]. 15008 K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,z * ((w \ 1) * u))). [hyper(8436,a,14996,a),flip(a)]. 15009 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13498(a,2),15003(a,1,2))]. 15010 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [hyper(6138,a,14998,a),flip(a)]. 15011 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11552,a,14991,a)]. 15013 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(8271,a,15011,a)]. 15014 K(T(x,y),K(z,u)) = K(x,K(z,u)). [hyper(8080,a,15011,a)]. 15015 K(x,K(y,T(z,u))) = K(x,K(y,T(z,w))). [hyper(286,a,15011,a,b,15011,a)]. 15016 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(286,a,8060,a,b,15011,a),flip(a)]. 15017 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(286,a,8056,a,b,15011,a),flip(a)]. 15018 K(x,K(y,T(z,u))) != w | K(x,K(z,y)) = w. [para(15011(a,2),8058(a,1))]. 15020 K(T(x,y) * z,u) * K(x,K(z,u)) = K(z * T(x,y),u). [para(15011(a,1),12156(a,1,2))]. 15025 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(7784(a,1),15013(a,1,2))]. 15027 K(x,T(y,z) \ u) * K(x,K(y,u)) = K(x,u / T(y,z)). [para(15013(a,1),8683(a,1,2))]. 15028 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12071(a,1),15013(a,1,2))]. 15029 K(x * T(x \ y,z),u) * K(x,K(y / x,u)) = K(x * T(y / x,z),u). [para(15013(a,1),12160(a,1,2))]. 15032 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(62,a,7784,a(flip),b,15014,a)]. 15033 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(15014(a,1),7822(a,1,2)),flip(a)]. 15035 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(62,a,8282,a(flip),b,15016,a)]. 15037 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8226(a,1),15016(a,1,2))]. 15038 K(x,((y * z) / y) \ u) * K(x,K(z,u)) = K(x,u / ((y * z) / y)). [para(15016(a,1),8718(a,1,2))]. 15041 K(x,K(y * z,u)) = K(x,K(u,z * y)). [para(12070(a,1),15017(a,1,2)),flip(a)]. 15044 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(15025(a,1),8210(a,1,1))]. 15045 K((x * (y / x)) * z,u) * K(y,K(z,u)) = K(z * (x * (y / x)),u). [para(15025(a,1),12165(a,1,2))]. 15046 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(15025(a,1),14481(a,1,1,1))]. 15048 T(x,K(y,K(z,u))) = x. [hyper(53,a,15032,a)]. 15049 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(15032(a,1),262(a,1,2))]. 15050 x * R(K(y,K(z,u)),w,w \ x) = (K(y,K(z,u)) * w) * (w \ x). [para(15032(a,1),672(a,1,2,1))]. 15051 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [hyper(8634,a,15048,a),flip(a)]. 15052 K(x,T(y,K(z,u))) = K(x,y). [hyper(8469,a,15048,a)]. 15053 T(x,T(K(y,z),u)) = T(x,K(y,z)). [hyper(8441,a,15048,a)]. 15054 T(x,T(y,K(z,u))) = T(x,y). [hyper(8439,a,15048,a)]. 15056 T(x,y \ K(z,u)) = T(x,K(z,u) / y). [hyper(62,a,12040,a(flip),b,15048,a)]. 15057 K(x,K(y,K(z,u))) = 1. [hyper(54,a,15048,a)]. 15058 T(x,K(y,K(z,u))) != w | w = x. [para(15048(a,1),48(a,1)),flip(a)]. 15060 T(x,K(y,z) * u) = T(x,u * K(y,z)). [para(15048(a,1),12114(a,1,1))]. 15061 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(15048(a,1),12137(a,1,1))]. 15062 K(K(x,y),K(z,u)) = 1. [hyper(8698,a,15057,a)]. 15064 T(K(x,y),K(z,u)) = K(x,y). [hyper(55,a,15062,a)]. 15066 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12144,a,15052,a),flip(a)]. 15067 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(12102,a,15052,a)]. 15068 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(9308,a,15052,a)]. 15069 K(x,y \ K(z,u)) = K(x,K(z,u) / y). [hyper(8971,a,15052,a),flip(a)]. 15070 K(T(x,K(y,z)),u) = K(x,u). [hyper(8249,a,15052,a),flip(a)]. 15072 (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). [hyper(62,a,7851,a,b,15052,a)]. 15074 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(62,a,12093,a(flip),b,15052,a)]. 15077 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7613(a,1),15052(a,1,2))]. 15078 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(15052(a,1),7736(a,1,2))]. 15082 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(15052(a,1),8223(a,1))]. 15083 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(15052(a,1),8249(a,1))]. 15084 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(8283(a,1),15052(a,1,2)),flip(a)]. 15086 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(15052(a,1),8352(a,1))]. 15088 x * (K(y,z) * K(u,w)) != v5 | x * (K(u,w) * K(y,z)) = v5. [para(15052(a,1),7739(a,1,2,2))]. 15091 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(15052(a,1),9416(a,1,1))]. 15093 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(15052(a,1),12095(a,1))]. 15094 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(15052(a,1),12102(a,1))]. 15095 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(15052(a,1),12142(a,1))]. 15096 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(15052(a,1),12144(a,1))]. 15099 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(15052(a,1),12829(a,1,1))]. 15101 T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). [hyper(62,a,13723,a(flip),b,15054,a)]. 15102 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7613(a,1),15054(a,1,2))]. 15104 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). [para(8285(a,1),15054(a,1,2))]. 15107 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(15054(a,1),14699(a,1,2))]. 15110 T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). [para(15064(a,1),25(a,1,1)),flip(a)]. 15114 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(15064(a,1),7651(a,1,2)),flip(a)]. 15115 T(K(x,y) * z,K(z,u)) = K(x,y) * z. [para(15064(a,1),10901(a,2,1))]. 15118 K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). [hyper(286,a,13182,a,b,15070,a),flip(a)]. 15120 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(15070(a,1),8260(a,1))]. 15121 K(x * (y * K(x,z)),u) = K(T(x,z) * y,u). [para(8633(a,1),15070(a,1,1)),flip(a)]. 15122 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(7613(a,1),15058(a,1)),flip(b)]. 15124 T(x,K(y,z \ u)) = T(x,K(y,u / z)). [para(6767(a,1),15053(a,1,2))]. 15125 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(6777(a,1),15053(a,1,2))]. 15126 K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u). [hyper(12095,a,15077,a),flip(a)]. 15127 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8500,a,15077,a)]. 15130 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(286,a,8158,a(flip),b,15077,a),flip(a)]. 15131 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(286,a,7723,a(flip),b,15077,a),flip(a)]. 15133 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(15077(a,1),7736(a,1,2))]. 15134 K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. [para(15077(a,1),8250(a,1))]. 15135 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(15077(a,1),10779(a,1,1))]. 15142 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(286,a,8115,a,b,15125,a),flip(a)]. 15144 K(x,T(y,z)) * T(u,K(x,y)) = u * K(x,T(y,z)). [para(15125(a,1),108(a,1,2))]. 15145 T(x,K(y,(z / u) \ 1)) = T(x,K(y,z \ u)). [para(8359(a,1),15125(a,1,2)),flip(a)]. 15146 T(x,K(y,z * u)) = T(x,K(y,u * z)). [para(12070(a,1),15125(a,1,2))]. 15147 T(T(x,K(y,z)),T(z,u) * y) = T(x,y * T(z,u)). [para(15125(a,1),12114(a,1,1))]. 15151 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(15127(a,1),12383(a,1,2))]. 15153 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(15131(a,2),7980(a,1))]. 15155 x \ T(y * T(x,K(z,u)),K(u,T(z,w))) = T(y,K(T(z,w),u) * x). [para(15142(a,1),14707(a,1,2,1,2))]. 15156 K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(25(a,2),15082(a,1,2))]. 15158 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7851(a,2),15082(a,1))]. 15159 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(8285(a,1),15082(a,1,2))]. 15160 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),u) = w. [para(8461(a,1),15082(a,1))]. 15161 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(9892(a,1),15082(a,1,2))]. 15162 K(K(x,y) * (z / y),u) != w | K(z / T(y,x),u) = w. [para(8286(a,1),15083(a,1,1))]. 15163 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(7894(a,1),15122(a,1,2))]. 15164 T(x,K(y,z) * (u \ 1)) != w | T(x,u \ K(y,z)) = w. [para(13723(a,1),15122(a,1))]. 15188 K(x,y * T(z,u)) * K(x,K(y,T(z,w))) = K(x,T(z,u) * y). [para(15015(a,1),12192(a,1,2))]. 15191 K(x,K(y * z,T(u,w))) = K(x,K(u,z * y)). [hyper(286,a,15017,a,b,15028,a)]. 15192 K(x,K(y,z * (x * u))) = K(x,K(y,u * z)). [hyper(286,a,9448,a(flip),b,15028,a),flip(a)]. 15194 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(15028(a,1),8058(a,1))]. 15195 K(x,K(y,z * u)) != w | K(x,K(u * z,y)) = w. [para(15028(a,1),8109(a,1))]. 15196 K(x,y * z) * K(x,K(u,z * y)) = K(x,T(y * z,u)). [para(15028(a,1),8093(a,1,2))]. 15197 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(15028(a,1),15009(a,1))]. 15198 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(9318,a,15033,a),flip(a)]. 15199 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(8104,a,15033,a),flip(a)]. 15200 (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. [hyper(8103,a,15033,a),flip(a)]. 15201 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(8102,a,15033,a)]. 15203 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(286,a,8052,a(flip),b,15033,a),flip(a)]. 15204 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(8056(a,1),15033(a,1,1))]. 15208 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(15041(a,1),8109(a,1))]. 15209 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(15041(a,2),8109(a,1))]. 15211 T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,L(u,z,y \ 1))). [hyper(286,a,14617,a,b,15056,a)]. 15212 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(62,a,14714,a,b,15060,a)]. 15213 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(62,a,14707,a,b,15060,a)]. 15214 K(x,K(K(y,z) * u,(K(y,z) * u) \ w) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). [para(15060(a,1),13133(a,2,2,1))]. 15215 K(x,T((K(y,z) * u) \ w,u * K(y,z)) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). [para(15060(a,1),14738(a,1,2,1))]. 15216 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(15060(a,1),14713(a,2,2))]. 15217 K(x,y * K(z,u \ 1)) = K(x,K(u,z) * y). [hyper(14791,a,15066,a),flip(a)]. 15218 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(14721,a,15066,a)]. 15219 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11753(a,1),15066(a,2,2))]. 15220 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(13515(a,1),15066(a,2,2))]. 15221 K(x,K(y,z) * (u \ 1)) != w | K(x,u \ K(y,z)) = w. [para(15066(a,2),13560(a,1))]. 15222 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(15066(a,1),14721(a,1))]. 15223 K(x,y * K(z,u \ 1)) != w | K(x,K(u,z) * y) = w. [para(15066(a,1),14791(a,1))]. 15224 K(x * K(y,z \ 1),u) = K(K(z,y) * x,u). [hyper(286,a,14803,a,b,15067,a)]. 15225 K(x * K(y * z,y),u) = K(K(z,y) * x,u). [hyper(286,a,13189,a,b,15067,a)]. 15226 K(x * K(y,y \ z),u) = K(K(y,z) * x,u). [hyper(62,a,13161,a(flip),b,15067,a),flip(a)]. 15227 K((x \ y) * K(x,z \ 1),u) = K(y * T(y \ (x \ y),z),u). [para(6472(a,1),15067(a,1,1)),flip(a)]. 15228 K(K(x,y) * (z \ x),u) = K(z \ T(x,y),u). [para(13515(a,1),15067(a,2,1))]. 15229 x * (K(y,z) * K(K(y,z) * x,u)) = T(x * K(y,z),u). [para(15067(a,2),13542(a,1,2,2))]. 15230 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(62,a,14459,a,b,15069,a)]. 15231 (K(x,y) * K(z,u)) \ w != K(y,x) | K(z,u) = w. [para(15072(a,1),46(a,1)),flip(a)]. 15236 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(15078(a,1),81(a,1,1,2))]. 15237 (K(x,y) * (K(z,u) * w)) * a(K(x,y),K(z,u),w) = (K(z,u) * K(x,y)) * w. [para(15078(a,1),81(a,2,1))]. 15240 K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). [para(8173(a,1),15078(a,1,1)),flip(a)]. 15242 K(x,K(y,K(z,u) \ w)) \ (w * K(u,z)) = T(w * K(u,z),K(x,y)). [para(15084(a,2),8046(a,1,1,2))]. 15244 T(x * (K(y,z) * u),K(x,u)) = x * (K(y,z) * u). [para(15115(a,1),8624(a,2,2))]. 15247 K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). [hyper(34,a,8735,a,b,15200,a),flip(a)]. 15248 L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(15201(a,1),430(a,1,2,2,2)),flip(a)]. 15249 K(x,K(y,z * u)) * K(y * ((z \ 1) \ u),x) = K(((z \ 1) \ u) * y,x). [hyper(286,a,12166,a(flip),b,15204,a),flip(a)]. 15250 K(x,K(y,z)) * K(y * z,x) = K(z * y,x). [hyper(286,a,12159,a(flip),b,15204,a),flip(a)]. 15251 x * K(y,K(z,u)) != w | K(z,K(y,u)) * w = x. [para(15204(a,1),8102(a,1))]. 15252 K(x,y) * (z * K(y,K(x,u))) = K(x,T(y,u)) * z. [para(15204(a,1),10895(a,1,2))]. 15254 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(6811(a,1),15212(a,2,2))]. 15255 T(x,K(y,z) * (u * K(y,z))) = T(x,u). [para(6883(a,1),15212(a,2,2))]. 15256 T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)). [para(13515(a,1),15212(a,2,2))]. 15258 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). [para(6811(a,1),15218(a,2,2))]. 15259 K(x,K(y,z) * (u \ z)) = K(x,u \ T(z,y)). [para(13515(a,1),15218(a,2,2))]. 15262 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(8077(a,1),15018(a,1))]. 15263 K(x,K(y,(z \ u) * z)) != w | K(x,K(u,y)) = w. [para(12077(a,2),15018(a,1,2))]. 15265 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(8318(a,1),15153(a,1,2))]. 15269 K((x \ 1) * T(y,x),T(z,y)) = K((x \ 1) * y,z). [hyper(286,a,14937,a(flip),b,15074,a),flip(a)]. 15271 T(L(K(x,y),z,u),w \ v5) = T(L(K(x,y),z,u),v5 / w). [para(15110(a,1),12054(a,1,1)),flip(a)]. 15272 (T(x,y) * K(z,u)) * T(y,x) = (x * K(z,u)) * y. [para(15114(a,1),6602(a,1,1))]. 15273 K(T(x \ 1,y) * z,T(u,x)) = K(z * T(x \ 1,y),u). [hyper(8478,a,15126,a)]. 15274 T(x,x \ y) * K(z,T(x \ y,x)) = T(x \ y,z) \ y. [hyper(286,a,5879,a(flip),b,15133,a),flip(a)]. 15275 T(x,y) * K(z,T(T(u,x),w)) = K(z,T(u,w)) * T(x,y). [para(23(a,1),15133(a,1,2,2))]. 15276 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [hyper(62,a,7929,a,b,15145,a)]. 15278 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = K(z,K(u,y * x)) * ((x * K(z,u)) * y). [para(15191(a,1),11630(a,2,1))]. 15279 T((x \ y) * K(z,y / x),z) = T(x,K(y,z)) \ y. [hyper(62,a,9287,a,b,15199,a)]. 15280 (T(x,y) \ z) * K(x,K(u,w)) = T(T(x,y),K(u,w)) \ z. [para(15014(a,1),15199(a,1,2))]. 15281 K(x,y * K(z,u \ (w \ 1))) = K(x,K(w * u,z) * y). [para(13506(a,1),15217(a,1,2,2))]. 15282 K(x,y \ T(z,z \ u)) = K(x,K(z,u) * (y \ z)). [hyper(14765,a,15220,a),flip(a)]. 15283 K(x,K(y,z) * (u \ (y \ z))) = K(x,u \ T(y \ z,y)). [hyper(14745,a,15220,a)]. 15284 K(x,(y \ z) * K(z,u)) = K(x,y \ T(z,u)). [hyper(62,a,15066,a(flip),b,15220,a)]. 15285 K(x \ T(y,y \ z),u) = K(K(y,z) * (x \ y),u). [para(13515(a,1),15226(a,1,1))]. 15286 K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [hyper(62,a,12204,a,b,15247,a)]. 15287 K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(4788(a,2),15247(a,1,2))]. 15288 T(x,T(y,z) \ z) = T(x,y \ T(z,y)). [hyper(62,a,14718,a(flip),b,15256,a)]. 15289 K(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). [para(6458(a,1),15258(a,1,2,1))]. 15290 K(K(x,x \ (K(y,z) * (u * z))) * w,v5) = K(K(x,u * T(z,y)) * w,v5). [para(15258(a,1),13161(a,2,1,1))]. 15292 K(x,K(y,z)) * u != w | u * K(x,K(z,y)) = w. [para(8077(a,1),15044(a,1,1))]. 15293 x * K(y,K(z,T(u,w))) != v5 | K(y,K(z,u)) * x = v5. [para(15016(a,2),15049(a,1,2))]. 15294 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(14714(a,1),15061(a,1))]. 15296 K(x * K(y * z,y),u) != w | K(x * K(z,y),u) = w. [para(15225(a,2),15093(a,1))]. 15297 K(K(x,y) * z,u) != w | K(K(x,x \ y) * z,u) = w. [para(15226(a,1),15094(a,1))]. 15298 K(x,T(y,z \ 1) \ u) != w | K(x,(y \ u) * K(z,y \ 1)) = w. [para(6466(a,1),15096(a,1,2))]. 15300 K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). [para(8012(a,1),15118(a,2,1,2))]. 15301 K(x,T(K(y,z) * u,w)) != v5 | K(x,T(u * K(y,z),w)) = v5. [para(6894(a,1),15120(a,1,2,1))]. 15303 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(15212(a,2),15163(a,1))]. 15305 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(104(a,1),15208(a,1,2,2))]. 15310 K(x,K(y / z,(z \ u) * y)) != w | K(x,K(u,y / z)) = w. [para(10587(a,1),15263(a,1))]. 15311 K(x,T(y,L((z / u) / w,w,u))) != v5 | K(x,T(y,(w * u) \ z)) = v5. [para(14495(a,2),15265(a,1))]. 15312 K(x,y / x) * K(y,K(z,x)) = K(x,T(y / x,z)). [hyper(15292,a,10305,a)]. 15314 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(14712(a,2),15303(a,1))]. 15316 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(286,a,15033,a,b,15046,a),flip(a)]. 15317 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(15033(a,1),15046(a,1,1))]. 15318 (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (K(y,x) * T(u,K(y,x))). [para(15144(a,1),11415(a,1,2))]. 15319 T(T(x,K(y,z)),T(y,u) * (z \ 1)) = T(x,(z \ 1) * T(y,u)). [para(8373(a,1),15147(a,1,1))]. 15320 T(T(x,K(y,z * u)),T(u * z,w) * y) = T(x,y * T(u * z,w)). [para(15146(a,1),15147(a,1,1))]. 15321 (x * K(y,K(z,u))) / (K(y,T(z,u)) * w) != v5 | R(x / (K(y,z) * w),K(y,z) * w,K(y,K(z,u))) = v5. [para(15198(a,1),563(a,1,2))]. 15322 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(8515,a,15203,a(flip)),flip(a)]. 15324 K(x,y) * (K(y,T(x,z)) * u) != w | u * K(x,K(y,z)) = w. [para(15252(a,1),5852(a,1,2)),flip(b)]. 15325 T(x \ y,K(z,y)) = T(x,K(y,z)) \ y. [hyper(8513,a,15279,a)]. 15326 T(x \ y,K(y,z)) = T(x,K(y,z)) \ y. [hyper(8134,a,15325,a)]. 15327 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [hyper(286,a,15220,a(flip),b,15282,a),flip(a)]. 15328 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(9(a,1),15327(a,1,2,2,2)),flip(a)]. 15329 K(x \ T(y,y \ z),u) = K(x \ T(y,z),u). [hyper(286,a,15228,a(flip),b,15285,a),flip(a)]. 15330 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [hyper(62,a,633,a(flip),b,15329,a)]. 15331 K(x \ T(y,z),L(u,x,y \ z)) != w | K(((y \ z) * x) \ z,u) = w. [para(15330(a,1),11909(a,1))]. 15333 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(15033(a,1),15316(a,1,1))]. 15334 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [hyper(286,a,4675,a,b,15317,a)]. 15335 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(15317(a,2),8087(a,1,1))]. 15336 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15322(a,2),42(a,1))]. 15337 (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(L(w,K(y,z),x),x * K(y,z),K(y,K(z,u))). [para(15322(a,1),430(a,1,1))]. 15338 K(x,K(y,T(z,u))) * T(w,v5) = T(w * K(x,K(y,z)),v5). [para(15016(a,1),15333(a,1,1,2)),flip(a)]. 15339 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8202(a,1),15135(a,1,1))]. 15340 K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. [para(7613(a,1),15156(a,1,2,1))]. 15341 K(x,K(y,z) * (u * z)) != w | K(x,u * T(z,y)) = w. [para(14720(a,1),15159(a,1))]. 15344 K(x,K(y,z)) * K(x,T(z,u) * y) = K(x,y * T(z,u)). [hyper(15293,a,12194,a)]. 15345 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(12(a,1),15213(a,1,2,1)),flip(a)]. 15346 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [hyper(8130,a,15216,a)]. 15348 x * (K(y,z) * a(K(y,z) * x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). [para(14187(a,2),15229(a,1,2,2))]. 15349 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(286,a,13613,a(flip),b,15230,a),flip(a)]. 15351 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(62,a,8332,a(flip),b,15349,a)]. 15352 K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). [hyper(12205,a,15240,a)]. 15354 T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). [hyper(62,a,723,a(flip),b,15271,a),flip(a)]. 15355 T(x,x \ y) * K(z,y / x) = T(x \ y,z) \ y. [para(8169(a,1),15274(a,1,2))]. 15356 T(x,K(y,z)) * (T(x,u) \ w) = x * (T(T(x,u),K(y,z)) \ w). [para(15280(a,1),15051(a,1,2)),flip(a)]. 15357 (x \ 1) * T(x,K(y,z \ 1) * (u * z)) = K(x,u * T(z,y \ 1)). [hyper(62,a,4917,a(flip),b,15289,a)]. 15358 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(34,a,4667,a(flip),b,15334,a)]. 15359 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(15094,a,15358,a)]. 15360 K(x \ K(y,K(z,u)),w) = K(x \ 1,w). [hyper(13778,a,15358,a)]. 15361 K(x * K(y,K(z,u)),w) = w / T(w,x). [hyper(286,a,4617,a(flip),b,15358,a),flip(a)]. 15362 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(1271(a,1),15358(a,1,1))]. 15363 K(T(x,K(y,z)) / u,w) = K(x / u,w). [para(1268(a,1),15358(a,1,1))]. 15364 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(6128(a,1),15358(a,1,1))]. 15365 K(x * T(K(y,z),u),w) = K(x * K(y,z),w). [para(6610(a,1),15358(a,1,1)),flip(a)]. 15366 K(x * (y * T(z,K(u,w))),v5) = K(x * (y * z),v5). [para(7483(a,1),15358(a,1,1))]. 15367 K(x * (y * K(z,K(u,w))),v5) = K(x * y,v5). [para(8602(a,1),15358(a,1,1))]. 15368 K(x / (K(y,z) * u),w) = K(x / (u * K(y,z)),w). [para(10819(a,1),15358(a,1,1))]. 15369 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(13803(a,1),15358(a,1,1)),flip(a)]. 15370 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(15198(a,1),15358(a,1,1))]. 15371 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(11413(a,1),15359(a,1,1))]. 15372 K((T(x,K(y,z)) * u) * w,v5) = K((x * u) * w,v5). [para(14484(a,1),15359(a,1,1))]. 15373 K(x \ K(y,K(z,u)),w) != v5 | K(x,w \ 1) = v5. [para(15360(a,2),6476(a,1))]. 15374 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(4677,a,15361,a)]. 15375 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(15361(a,2),4697(a,1))]. 15376 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(15163,a,15374,a)]. 15378 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(1270(a,1),15374(a,1,2))]. 15379 T(x,T(y,K(z,u)) * w) = T(x,y * w). [para(6128(a,1),15374(a,1,2))]. 15380 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(8602(a,1),15374(a,1,2))]. 15381 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(115,a,15376,a(flip),b,4659,a(flip)),flip(a)]. 15382 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(11376(a,1),15376(a,1,2)),flip(a)]. 15383 K(x * (K(y,z) * (u * y)),w) = K(x * (u * T(y,z)),w). [para(8285(a,1),15362(a,1,1,2))]. 15384 K(x * (K(y \ z,y) * (u * z)),w) = K(x * (u * ((y \ z) * y)),w). [para(10589(a,1),15362(a,1,1,2))]. 15385 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x / (u * (x * K(y,z))),w). [hyper(62,a,14668,a,b,15363,a)]. 15386 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(7613(a,1),15364(a,1,1,1))]. 15388 K(x,(y \ T(z,K(u,w))) / T(v5,y \ z)) = K(x,v5 \ (y \ T(z,K(u,w)))). [para(15378(a,1),13096(a,1,2,2))]. 15389 T(x,(y \ K(z,u)) * w) = T(x,(K(z,u) / y) * w). [para(12182(a,1),15379(a,1,2,1))]. 15390 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(286,a,4614,a,b,15381,a),flip(a)]. 15391 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(15381(a,2),4728(a,1))]. 15392 K(x,y * T(z,K(u,w))) = K(x,y * z). [hyper(15159,a,15390,a)]. 15393 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(15096,a,15390,a)]. 15394 K(x,K(K(y,z),u) * w) = K(x,w). [hyper(14745,a,15390,a)]. 15395 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(62,a,14725,a(flip),b,15390,a)]. 15396 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(4675(a,1),15390(a,1,2))]. 15397 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(6144(a,1),15390(a,1,2))]. 15399 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(15322(a,1),15390(a,1,2))]. 15400 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(6861(a,1),15393(a,1,2)),flip(a)]. 15401 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(10593(a,1),15393(a,1,2)),flip(a)]. 15402 K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). [para(10819(a,1),15393(a,1,2))]. 15403 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [para(13803(a,1),15393(a,1,2)),flip(a)]. 15404 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(6567(a,1),15394(a,1,2)),flip(a)]. 15407 K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). [para(7613(a,1),15395(a,1,2,1))]. 15408 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(7613(a,1),15396(a,1,2,1))]. 15409 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(7613(a,1),15397(a,1,2,1))]. 15410 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(7613(a,1),15400(a,1,2,2))]. 15411 K(T(x,K(y,z)) / u,w) != v5 | K(x / u,w) = v5. [para(1268(a,1),15375(a,1,1))]. 15412 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(7822(a,1),15375(a,1,1))]. 15413 K(x / (K(y,z) * u),w) != v5 | K(x / (u * K(y,z)),w) = v5. [para(10819(a,1),15375(a,1,1))]. 15414 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(15198(a,1),15375(a,1,1))]. 15415 K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. [para(4675(a,1),15391(a,1,2))]. 15416 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(6145(a,1),15391(a,1,2))]. 15418 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(6144(a,1),15391(a,1,2))]. 15419 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7844(a,1),15391(a,1,2))]. 15420 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(8050(a,1),15391(a,1,2))]. 15421 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(11413(a,1),15391(a,1,2))]. 15422 K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(z,u) / y) \ w) = v5. [para(13134(a,1),15391(a,1))]. 15423 K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. [para(14728(a,1),15391(a,1))]. 15424 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(15322(a,1),15391(a,1,2))]. 15425 K(x \ y,z) != u | K(T(x,K(w,v5)) \ y,z) = u. [para(5715(a,1),15412(a,1,1))]. 15426 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(11413(a,1),15412(a,1,1))]. 15427 K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. [para(11421(a,1),15412(a,1,1))]. 15428 K(x * K(y,T(z,u)),w) != v5 | K(x * K(y,z),w) = v5. [para(15322(a,1),15412(a,1,1))]. 15429 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(8106(a,1),15419(a,1,2))]. 15430 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10593(a,1),15419(a,1,2))]. 15432 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(13803(a,1),15419(a,1,2))]. 15433 K(x * K(y \ z,u),w) = K(x * K(z / y,u),w). [para(6940(a,1),15365(a,1,1,2))]. 15434 K(x * K(T(y,z),u),w) = K(x * K(y,u),w). [para(7784(a,2),15365(a,1,1,2))]. 15435 K(x * (T(y,K(z,u)) * w),v5) = K(x * (y * w),v5). [para(6128(a,1),15367(a,1,1,2))]. 15436 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [para(7822(a,1),15367(a,1,1,2))]. 15437 K(x * (y * (K(z,u) * w)),v5) = K(x * (y * (w * K(z,u))),v5). [para(10593(a,1),15367(a,1,1,2)),flip(a)]. 15438 K(x * (T(y,K(z,u)) \ w),v5) = K(x * (y \ w),v5). [para(15199(a,1),15367(a,1,1,2))]. 15439 K(K(x,y * z) * u,w) = K(K(x,z * y) * u,w). [para(12070(a,1),15370(a,1,1,1))]. 15440 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). [para(15198(a,1),15380(a,1,2,2))]. 15441 K((K(x,y) * T(x,z)) * u,w) = K(T(T(x,z),y) * u,w). [para(8171(a,1),15386(a,1,1,1))]. 15442 K(x,y * K(z,T(u \ (w \ 1),v5))) = K(x,K(w * u,z) * y). [hyper(286,a,15281,a(flip),b,15399,a),flip(a)]. 15443 K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). [para(4675(a,1),15404(a,1,2,2))]. 15444 K(x,T(y,z) \ T(z,u)) = K(x,T(z,u) / y). [hyper(13153,a,15407,a),flip(a)]. 15446 K(x,T(y,z) * T(z,u)) = K(x,T(z,u) * y). [hyper(62,a,12122,a(flip),b,15408,a),flip(a)]. 15447 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / z). [hyper(62,a,12207,a,b,15409,a)]. 15448 K(x * ((K(y,z) * u) * w),v5) = K(x * ((u * K(y,z)) * w),v5). [para(11376(a,1),15436(a,1,1,2)),flip(a)]. 15449 K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). [para(15322(a,1),15436(a,1,1,2))]. 15450 K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,w) / y). [hyper(62,a,15407,a,b,15444,a)]. 15451 K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w) * y). [hyper(62,a,15408,a,b,15446,a)]. 15452 K((x * (y / x)) \ z,T(u,y)) != w | K(z / (x * (y / x)),u) = w. [para(14673(a,1),15411(a,1))]. 15453 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(6894(a,1),15416(a,1,2,2))]. 15454 K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. [para(7613(a,1),15416(a,1,2,2))]. 15457 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(7894(a,1),15418(a,1,2,1))]. 15460 K(x * (y * (z \ K(u,w))),v5) = K(x * (y * (K(u,w) / z)),v5). [para(12182(a,1),15366(a,1,1,2,2))]. 15461 K(x / (y * K(z,u)),w) = K(x * (y \ K(u,z)),w). [hyper(13762,a,15368,a),flip(a)]. 15462 K(x / (y * K(z,u)),w) != v5 | K(x * (y \ K(u,z)),w) = v5. [para(15368(a,1),13762(a,1))]. 15463 K((x * K(y,z)) \ 1,u) != w | K(x \ K(z,y),u) = w. [para(15371(a,1),6985(a,1))]. 15464 K((T(x,T(y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [para(7613(a,1),15372(a,1,1,1,1))]. 15465 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(13759,a,15402,a),flip(a)]. 15466 K(x,L(y / T(z / K(u,w),v5),T(z / K(u,w),v5),K(u,w))) = K(x,(y * K(u,w)) / (T(K(u,w) \ z,v5) * K(u,w))). [hyper(62,a,14434,a,b,15402,a)]. 15467 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(15402(a,1),13759(a,1))]. 15468 x * (K(y / z,u) * K(x * K(z \ y,u),x)) = T(x * K(y / z,u),x). [para(15433(a,2),6636(a,1,2,2))]. 15470 K(x * (T(y,y \ z) * u),w) = K(x * (((y \ z) \ z) * u),w). [para(2944(a,1),15435(a,1,1,2,1))]. 15471 K(x * (T(y,T(z,u)) * w),v5) = K(x * (T(y,z) * w),v5). [para(7613(a,1),15435(a,1,1,2,1))]. 15472 K(x * ((y \ K(z,u)) * w),v5) = K(x * ((K(z,u) / y) * w),v5). [para(12182(a,1),15435(a,1,1,2,1))]. 15473 K(x * (T(T(y,K(z,u)),w) \ v5),v6) = K(x * (T(y,w) \ v5),v6). [para(23(a,1),15438(a,1,1,2,1))]. 15474 K(x * (T(y,T(z,u)) \ w),v5) = K(x * (T(y,z) \ w),v5). [para(7613(a,1),15438(a,1,1,2,1))]. 15475 K(x,T(y,T(z,u)) \ T(z,w)) = K(x,T(z,z * w) / y). [hyper(62,a,15328,a(flip),b,15450,a)]. 15476 K(x * ((y * z) \ K(u,z)),w) = K(x / (y * T(z,u)),w). [para(6811(a,1),15461(a,1,1,2)),flip(a)]. 15477 K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (T(u,w) * w))). [para(10835(a,1),15465(a,1,2,2)),flip(a)]. 15478 K(K(x,y * z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(12070(a,1),15414(a,1,1,1))]. 15479 K(K(x * y,z) * u,w) != v5 | K(K(y * x,z) * u,w) = v5. [para(12085(a,1),15414(a,1,1,1))]. 15481 K(x * K(T(y,z),u),w) != v5 | K(x * K(y,u),w) = v5. [para(7777(a,2),15428(a,1,1,2))]. 15482 K((K(x,T(y,z * u)) * z) \ 1,T(w,u)) = K(T(z,u) \ K(y,x),w). [hyper(15463,a,14483,a(flip)),flip(a)]. 15483 K(x,K(y,T(z,u))) * K(w,T(v5,v6)) = T(K(w,v5) * K(x,K(y,z)),v6). [hyper(8515,a,15338,a)]. 15485 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(8106(a,2),15345(a,1,1))]. 15486 K(K(x,y) * (T(x,z) * u),w) = K(T(T(x,z),y) * u,w). [para(7239(a,1),15441(a,1,1))]. 15487 K(x * (T(y,z * (u \ 1)) * w),v5) = K(x * (T(y,u \ z) * w),v5). [para(13723(a,1),15471(a,1,1,2,1))]. 15488 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(13153,a,15475,a),flip(a)]. 15489 K(K(x / T(y,z),u) * ((y \ x) * (y * K(z,y))),w) = K(T(T(x / T(y,z),y),u) * y,w). [para(10000(a,1),15486(a,1,1,2))]. 15490 K(L(K(x,y) * z,K(y,x),u),T(w,K(y,x) * u)) = K((u * z) / (u * K(y,x)),w). [para(5839(a,1),14965(a,1,1,1))]. 15491 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15006,a,15007,a)]. 15492 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(286,a,14992,a(flip),b,15037,a),flip(a)]. 15493 x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. [para(9230(a,2),15088(a,1))]. 15494 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(14776,a,15219,a)]. 15495 K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). [hyper(15340,a,xx),flip(a)]. 15497 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u / z),w,v5)). [para(110(a,1),15495(a,1,2,1,2))]. 15498 K(x \ y,L(T(z,u),x,x \ (T(u,w) \ 1))) != v5 | K((((T(u,w) \ 1) / x) * y) * T(u,w),z) = v5. [para(15495(a,1),13761(a,1))]. 15500 K(K(x,y) * z,u) != w | K(K(x * y,y) * z,u) = w. [para(13190(a,1),15479(a,1))]. 15501 K(K(x \ ((y \ 1) * z),u) * w,v5) != v6 | K(K(x * ((z \ 1) * y),u) * w,v5) = v6. [para(14813(a,2),15479(a,1))]. 15502 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),15491(a,1,2,1,1))]. 15503 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),15492(a,1,2,2,1)),flip(a)]. 15504 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8227(a,2),15492(a,1,2))]. 15505 x / (y \ R(y,z,y)) != u | x * (K(z,y) * K(y,y * z)) = u. [para(6080(a,1),15493(a,1,2))]. 15506 K(x,K(y * z,y * (u * z))) = K(x,K(y * z,L(u,z,y))). [hyper(8711,a,15503,a)]. 15507 K(x,K(y * z,L(L(y,u,w),z,y))) * K(x,L(y,u,w)) = K(x,(y * z) \ (y * (L(y,u,w) * z))). [para(15506(a,1),8724(a,1,1))]. 15508 K(x,(y / z) * u) * K(x,K(u,y * z)) = K(x,u * (y / z)). [para(14984(a,1),15000(a,1,2))]. 15509 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6254(a,1),15035(a,2,2))]. 15510 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(286,a,11831,a(flip),b,15509,a),flip(a)]. 15513 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(15510(a,2),11764(a,1))]. 15514 K(x,T(y,z) * u) != w * K(x,K(u,T(y,v5))) | K(x,u * T(y,z)) = w. [para(15188(a,1),43(a,1))]. 15515 K(K(x,y) * (y \ z),u) = K(z * T(z \ (y \ z),x),u). [hyper(62,a,15224,a(flip),b,15227,a)]. 15516 K(x * T(x \ (y \ x),z),u) = K(T(y,z) \ x,u). [para(5741(a,1),15515(a,1,1)),flip(a)]. 15517 (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). [para(5704(a,1),15276(a,1,1))]. 15518 K(T(x,y) * (z \ 1),T(u,K(x,z))) \ T(u,K(x,z)) = T(u,(z \ 1) * T(x,y)). [hyper(4687,a,15319,a)]. 15519 T(T(x,K((y \ 1) \ (y \ z),y)),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). [para(1329(a,1),15319(a,2,2))]. 15520 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(15198(a,1),15335(a,1,1,1))]. 15521 K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,u),K(y,z)) \ w). [hyper(6072,a,15356,a)]. 15523 K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). [para(5880(a,1),15447(a,1,2))]. 15524 K(x * (y * (z \ K(u,w))),T(v5,x)) = K((y * (K(u,w) / z)) * x,v5). [hyper(286,a,12087,a(flip),b,15460,a),flip(a)]. 15525 (x * y) / (K(z * (u * (w \ K(v5,v6))),x) * y) = T(x,z * (u * (K(v5,v6) / w))). [para(15460(a,2),5746(a,1,2,1))]. 15526 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(4820(a,2),15485(a,1,1,1))]. 15527 x * (K(y,z) * K(z,z * y)) = R(z,y,z) \ (z * x). [hyper(15505,a,11002,a(flip))]. 15528 R(x,y,x) \ (x * z) = z * (R(x,y,x) \ x). [para(9241(a,1),15527(a,1,2)),flip(a)]. 15529 K(x,y) * (K(y,K(z,u)) * w) = y * (T(T(y,x),K(z,u)) \ w). [hyper(10935,a,15521,a)]. 15530 (K(x,K(y,z)) * K(u,x)) * w = x * (T(T(x,u),K(y,z)) \ w). [hyper(62,a,10415,a,b,15521,a)]. 15531 K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). [para(7777(a,1),15523(a,1,2,1))]. 15532 K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). [hyper(15324,a,15531,a)]. 15533 K(x,T(y / x,z)) = K(x,T(y,z) / x). [hyper(62,a,15312,a(flip),b,15532,a)]. 15534 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). [hyper(286,a,8183,a(flip),b,15533,a),flip(a)]. 15535 K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). [para(4380(a,1),15533(a,1,2,1)),flip(a)]. 15536 K((x * y) / (x * (z \ y)),u) = (y * x) \ ((y * K(z,u)) * x). [hyper(10083,a,14972,a)]. 15537 K(x,(y * z) / (y * (u \ z))) = (z * y) \ ((z * K(x,u)) * y). [hyper(10378,a,15536,a)]. 15538 (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * x) / (y * (u \ x))) = w. [para(15536(a,1),10378(a,1))]. 15540 K(x \ y,(z * y) / (z * (u \ y))) = K((x * z) \ (y * z),u). [hyper(286,a,7291,a(flip),b,15537,a),flip(a)]. 15541 K(x,(y * z) / (y * ((u \ z) \ z))) = R(T(K(x,z / u),z * y),z,y). [hyper(286,a,6769,a(flip),b,15537,a),flip(a)]. 15542 K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). [hyper(62,a,11926,a,b,15537,a)]. 15543 K(x \ y,(z * y) / (z * (u \ y))) != w | K((x * z) \ (y * z),u) = w. [para(15537(a,2),7293(a,1))]. 15544 K(x \ y,(z * y) / (z * (u \ y))) = K(y / x,L(T(u,y * z),y,z)). [hyper(286,a,14485,a,b,15540,a),flip(a)]. 15545 K((x * y) / (x * (z \ y)),u \ y) = (w * K((u * x) \ (y * x),z)) \ w. [para(15540(a,1),6895(a,1,1,2)),flip(a)]. 15546 K(x,L((y * (z * u)) / (y * u),w,v5)) = (u * y) \ ((u * K(L(x,w,v5),z)) * y). [hyper(11807,a,15542,a)]. 15547 (x * y) \ ((x * K(z \ K((y * (u * x)) / (y * x),w),u)) * y) = K(z,((y * (u * x)) / (y * x)) \ 1). [hyper(8520,a,15542,a),flip(a)]. 15548 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * (y * z)) / (u * z)). [hyper(286,a,14397,a,b,15542,a)]. 15549 K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = (w * y) \ ((w * K(x,u \ z)) * y). [para(6717(a,1),15542(a,2,2,1,2))]. 15550 K(x,(y * (R(z,u,w) * v5)) / (y * v5)) = (v5 * y) \ ((v5 * K(x,L(z,u,w))) * y). [para(14373(a,1),15542(a,2,2,1,2))]. 15551 x * R(K(y,K(z,u)),w,w \ x) = (K(u,K(y,z)) * w) * (w \ x). [para(8060(a,1),15050(a,2,1,1))]. 15552 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(6892(a,1),15068(a,1,1,1))]. 15553 K(x,(y \ z) * K(u,y \ 1)) = K(x,T(y \ 1,u) * z). [hyper(15298,a,14768,a)]. 15554 K(x,T(y \ 1,z) * u) = K(x,K(y,z) * (y \ u)). [hyper(15223,a,15553,a),flip(a)]. 15555 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(286,a,14725,a(flip),b,15554,a),flip(a)]. 15556 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(62,a,14768,a,b,15555,a)]. 15557 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [para(4893(a,1),15555(a,1,2,1,1)),flip(a)]. 15558 T(x,a(T(y \ 1,z) * u,w,v5)) = x * a(x,w,K(v5,T(y,z) \ u)). [para(15555(a,1),14206(a,1,2,3)),flip(a)]. 15559 K(x,T(y \ 1,z) \ u) = K(x,((z \ y) * z) * u). [hyper(14823,a,15556,a),flip(a)]. 15560 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(62,a,15557,a(flip),b,15559,a),flip(a)]. 15561 K(x,T(y \ 1,z \ K(u,w)) \ v5) = K(x,T(y,K(w,u) * z) * v5). [hyper(62,a,14824,a(flip),b,15560,a)]. 15562 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(9(a,1),15560(a,1,2,1,1)),flip(a)]. 15563 T(x,T(y * z,y) * u) = x * K(x,(z * y) * u). [para(15562(a,1),4659(a,2,2))]. 15564 T(x,T(y * z,y) * u) = T(x,(z * y) * u). [hyper(4730,a,15563,a),flip(a)]. 15565 L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). [hyper(286,a,6806,a(flip),b,15300,a)]. 15566 L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). [para(9(a,1),15565(a,1,1,1))]. 15567 x \ T(y * T(x,K(z,u * w)),K(z,w * u)) != v5 | T(y,K(u * w,z) * x) = v5. [para(15146(a,1),15314(a,1,2))]. 15568 T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). [para(11395(a,1),15354(a,1,1))]. 15569 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(62,a,15219,a(flip),b,15494,a),flip(a)]. 15570 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(62,a,8022,a,b,15569,a)]. 15571 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4659(a,2),15570(a,2,2,2))]. 15572 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(13559,a,15571,a)]. 15573 K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,L(T(T(u,y),z),y,y \ z)). [para(10(a,1),15548(a,1,2,1,2)),flip(a)]. 15574 (x * y) * K(z,(x * (u * y)) / (x * y)) = x * (y * K(z,T(T(u,y),y * x))). [para(15548(a,1),11753(a,1,2))]. 15575 x * K(y,K(z,R(u,w,w \ x))) = (K(z,K(u,y)) * w) * (w \ x). [para(9096(a,1),15551(a,1,2))]. 15576 L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). [hyper(286,a,15070,a(flip),b,15566,a),flip(a)]. 15578 L(K(x,y),z,u / (u * x)) != w | K(x,y) = w. [para(15576(a,2),7512(a,1))]. 15580 (K(x,K(y,z)) * u) * (u \ K(y,z)) = K(y,z) * K(z,K(x,y)). [para(11087(a,1),15575(a,1,2)),flip(a)]. 15581 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [hyper(286,a,8072,a(flip),b,15580,a),flip(a)]. 15582 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(8060(a,2),15581(a,1,1,1))]. 15583 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(116,a,7723,a,b,15582,a)]. 15584 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(76(a,1),15583(a,1,2)),flip(a)]. 15585 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(8102,a,15584,a)]. 15586 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(15585(a,1),7894(a,1,1)),flip(a)]. 15587 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [hyper(286,a,8628,a(flip),b,15010,a),flip(a)]. 15588 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [hyper(8134,a,15587,a)]. 15589 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(6717(a,1),15588(a,1,2))]. 15590 K(x,y / ((z * u) / z)) = K(x,T(u,z) \ y) * K(x,K(u,y)). [para(14737(a,1),15038(a,1,1)),flip(a)]. 15591 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(286,a,15027,a(flip),b,15590,a),flip(a)]. 15592 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(62,a,15572,a(flip),b,15591,a),flip(a)]. 15595 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13755,a,15592,a),flip(a)]. 15596 K(x,y / T((z \ 1) \ u,w)) = K(x,y * T((u \ 1) / z,w)). [para(6425(a,1),15592(a,1,2,2,1))]. 15597 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(13144,a,15595,a)]. 15598 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(15597(a,1),4667(a,2,1))]. 15599 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(286,a,4667,a,b,15598,a),flip(a)]. 15600 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(62,a,14708,a,b,15599,a)]. 15601 K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,y / T(a(z \ 1,u,u \ 1),w)). [para(717(a,1),15596(a,1,2,2,1)),flip(a)]. 15603 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(108(a,1),15099(a,1,2,1,1,1))]. 15605 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(15603(a,1),4745(a,1,2)),flip(a)]. 15607 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),15107(a,1,2,1)),flip(a)]. 15608 T(x,K(T(y,z),u) * w) = w \ T(x * T(w,K(y,u)),K(y,u)). [para(15142(a,1),15155(a,1,2)),flip(a)]. 15609 T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w). [hyper(286,a,14707,a(flip),b,15608,a),flip(a)]. 15611 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [para(7777(a,1),15609(a,1,2,1))]. 15612 T(T(x,K(y,z * u)),(z * u) * y) = T(x,y * T(u * z,u)). [hyper(62,a,15564,a(flip),b,15320,a)]. 15613 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [hyper(12137,a,15612,a),flip(a)]. 15614 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [para(10(a,1),15613(a,1,2,2,1)),flip(a)]. 15615 K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). [hyper(8190,a,15352,a),flip(a)]. 15616 (x \ 1) * T(x,K(y,z) * (u * z)) = K(x,u * T(z,y \ 1)). [para(14771(a,1),15357(a,1,2))]. 15617 (x \ 1) * T(x,y * T(z,u)) = K(x,y * T(z,u \ 1)). [para(15254(a,1),15616(a,1,2))]. 15618 K(x,y * T(z,u \ 1)) = K(x,y * T(z,u)). [hyper(6961,a,15617,a),flip(a)]. 15620 K(x,T(y,T(z,u)) * T(z,w)) = K(x,T(z,w \ 1) * y). [hyper(62,a,15451,a(flip),b,15618,a),flip(a)]. 15621 (x * K(y,z * T(u,w))) \ x = K(z * T(u,w \ 1),y). [para(15618(a,1),6895(a,1,1,2))]. 15622 K(x,y * T(z,(u \ T(w,v5)) \ 1)) = K(x,y * T(z,K(v5,w) * (u \ w))). [para(15256(a,2),15618(a,2,2,2))]. 15623 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(62,a,15451,a(flip),b,15620,a),flip(a)]. 15624 K(x,T(y,(z \ 1) * (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). [para(13625(a,1),15623(a,1,2,1,2))]. 15625 K(x,T(y,(z \ T(u,w)) \ 1) * v5) = K(x,T(y,K(w,u) * (z \ u)) * v5). [para(15256(a,2),15623(a,2,2,1))]. 15626 K(x * T(y,z \ 1),u) != w | K(x * T(y,z),u) = w. [para(15621(a,1),6902(a,1))]. 15628 K(x \ K(T(y,x * z),u),T(w,z)) = K(T(x,z) \ K(y,u),w). [hyper(6985,a,15482,a)]. 15629 K(x \ K(y,T(z,x * u)),T(w,u)) = K(T(x,u) \ K(y,z),w). [para(7777(a,1),15628(a,1,1,2))]. 15630 K(x,K(y,T(z,u))) * K(y * x,T(x,w)) = K(x * T(y,w),T(x,z)). [hyper(286,a,13232,a(flip),b,15483,a),flip(a)]. 15631 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(6125(a,1),15517(a,1,1))]. 15632 K((x * (K(y,z) / u)) * w,v5) != v6 | K((x * (u \ K(y,z))) * w,v5) = v6. [para(15524(a,1),12095(a,1))]. 15633 T(x,a(T(y \ 1,z) * u,w,v5)) != x * v6 | a(x,w,K(v5,T(y,z) \ u)) = v6. [para(15558(a,2),42(a,1))]. 15634 T(x,a(T(y \ 1,z) * u,w,v5)) != v6 | T(x,a(T(y,z) \ u,w,v5)) = v6. [para(15558(a,2),14208(a,1))]. 15635 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(8032(a,2),15586(a,2,2))]. 15636 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),15607(a,1,2,2,1,2))]. 15637 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(33,a,8736,a,b,15630,a)]. 15638 K(x,x \ (y / z)) * K((x \ (z \ y)) * x,T(x,z)) = x \ R(x,x \ (z \ y),x). [para(15637(a,1),13013(a,1,2))]. 15639 K(x \ 1,T(y * x,z)) = K(x \ 1,T(y,z) * x). [para(4385(a,1),15535(a,1,2)),flip(a)]. 15640 K(x \ 1,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(286,a,12076,a(flip),b,15639,a),flip(a)]. 15641 K(1 / x,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(6487,a,15640,a)]. 15642 K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). [hyper(10130,a,15641,a),flip(a)]. 15643 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). [hyper(62,a,14076,a,b,15641,a)]. 15644 K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). [hyper(62,a,11345,a,b,15641,a)]. 15645 K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). [hyper(6495,a,15642,a),flip(a)]. 15646 K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). [hyper(6983,a,15645,a),flip(a)]. 15647 K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * z) / (u * (y \ z))) = w. [para(14397(a,2),15538(a,1))]. 15648 K(x,(y * (z * u)) / (y * u)) != w | K(x,(y * u) / (y * (z \ u))) = w. [para(15542(a,2),15538(a,1))]. 15649 K(x / y,L(T(z,x * u),x,u)) != w | K((y * u) \ (x * u),z) = w. [para(15544(a,1),15543(a,1))]. 15650 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * K(u,z)) * x) \ w,v5). [hyper(15632,a,13801,a)]. 15651 K(x * T(x \ y,z),u) * K(x,K(u,y / x)) = K(x * T(y / x,z),u). [para(8077(a,1),15029(a,1,2))]. 15654 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((K(w,K(y,z * u)) * x) \ K(((z \ 1) \ u) * y,w),v5). [para(15249(a,1),11743(a,1,1,2)),flip(a)]. 15655 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10335(a,1),15468(a,1,2)),flip(a)]. 15656 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(13185(a,1),15655(a,2,2))]. 15657 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(15656(a,1),10382(a,1,1,2))]. 15658 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(9(a,1),15657(a,1,1))]. 15659 L(x,K(y \ x,z),x) = x. [hyper(8293,a,15658,a),flip(a)]. 15661 L(x,K(y,z),x) = x. [para(76(a,1),15659(a,1,2,1))]. 15662 R(x,K(y,z),x) = x. [hyper(62,a,4291,a(flip),b,15661,a),flip(a)]. 15664 T(x * K(y,z),x) = K(y,z) * x. [para(15661(a,1),4024(a,1,1,1))]. 15666 x * K(K(y,z) * x,x) = T(x,K(y,z)). [hyper(62,a,11609,a(flip),b,15662,a)]. 15667 T(x * K(y,L(z,u \ 1,u * x)),x) = (K(y,z) / u) * ((u \ 1) \ x). [hyper(286,a,14531,a(flip),b,15664,a),flip(a)]. 15668 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),R(z,u,u \ 1)) = L(a(z,u,u \ 1),z,K(x,y)). [para(15664(a,2),718(a,1,2))]. 15669 T((x / (y \ 1)) * (y \ K(z,u)),x) = K(z,L(u,y,y \ (x \ 1))) * x. [para(14573(a,1),15664(a,1,1))]. 15671 x * K(x * K(y,z),x) = T(x,K(y,z)). [para(7011(a,1),15666(a,1,2))]. 15672 K(x * K(y,z),x) = K(x,K(y,z)). [hyper(33,a,4659,a(flip),b,15671,a),flip(a)]. 15673 T(T(x * K(y,z),u),T(x,u)) = K(x,K(y,z)) * T(x * K(y,z),u). [para(15672(a,1),8171(a,2,1))]. 15674 T(T(x * K(y,z),u),T(x,u)) = T(K(x,K(y,z)) * (x * K(y,z)),u). [hyper(286,a,15316,a,b,15673,a),flip(a)]. 15675 T(T(x * K(y,z),u),T(x,u)) = T(T(x,K(y,z)) * K(y,z),u). [para(4675(a,1),15674(a,2,1))]. 15676 T(T(x * K(y,z),u),T(x,u)) = T(K(y,z) * x,u). [para(8128(a,1),15675(a,2,1))]. 15677 T((x / (y \ 1)) * (y \ K(z,u)),x) = (K(z,u) / y) * ((y \ 1) \ x). [para(14527(a,1),15667(a,1,1))]. 15678 K(x,L(y,z,z \ (u \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). [hyper(62,a,15677,a(flip),b,15669,a),flip(a)]. 15679 K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (K(x,y) / z) * ((z \ 1) \ (v5 * K(w,u))). [para(13591(a,1),15678(a,1,1,2,3,2))]. 15680 (((x \ 1) / y) * (y * K(z,u))) \ K(w,v5) = ((K(u,z) / y) * ((y \ 1) \ x)) * K(w,v5). [para(15678(a,1),14020(a,1,1)),flip(a)]. 15681 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6901,a,15520,a),flip(a)]. 15682 K((x * y) / (x * (z \ y)),u \ y) = K(z,(u * x) \ (y * x)). [hyper(286,a,15072,a(flip),b,15545,a),flip(a)]. 15683 K(x,(y * z) / (y * ((u \ z) \ z))) = K(x,(u * y) \ (z * y)). [hyper(10378,a,15682,a)]. 15684 K(x,y * T(z,K(u,w) * (v5 \ w))) = K(x,y * T(z,T(w,u) \ v5)). [para(6745(a,1),15622(a,1,2,2)),flip(a)]. 15685 K(x,T(y,K(z,u) * (w \ u)) * v5) = K(x,T(y,T(u,z) \ w) * v5). [para(6745(a,1),15625(a,1,2,1)),flip(a)]. 15686 K(x * T(x \ y,z),u) * K(x,K(u,y)) = K(x * T(y / x,z),u). [para(8693(a,1),15651(a,1,2))]. 15687 K(x * T(x \ y,z),u) * K(x,K(y,u)) = K(x * T(y / x,z),u). [para(8077(a,1),15686(a,1,2))]. 15688 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7723(a,2),15681(a,1,2))]. 15689 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7820,a,15688,a),flip(a)]. 15690 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(62,a,11571,a,b,15689,a)]. 15691 (K(x,y) * (K(z,u) * w)) * a(x,K(z,u),K(w,y)) = (K(z,u) * K(x,y)) * w. [para(14176(a,1),15237(a,1,2))]. 15693 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(9501(a,1),15504(a,1,2))]. 15695 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(15693(a,1),15513(a,1))]. 15697 K(x,((y \ z) * (u * y)) / ((y \ z) * y)) = K(x,((z / y) * (u * y)) / z). [hyper(286,a,11949,a(flip),b,15573,a),flip(a)]. 15698 K(x,((y \ z) * y) / ((y \ z) * (u \ y))) = K(x,((z / y) * (u * y)) / z). [hyper(15648,a,15697,a)]. 15699 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(286,a,5740,a(flip),b,15605,a),flip(a)]. 15700 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3873,a,15699,a),flip(a)]. 15702 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(62,a,15091,a(flip),b,15700,a),flip(a)]. 15703 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(15702(a,2),11901(a,1,1))]. 15704 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(12092(a,1),15703(a,1,1,1))]. 15705 T((x \ 1) * K((x \ 1) * y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [hyper(286,a,13501,a(flip),b,15704,a),flip(a)]. 15706 T(x * K(x * ((y \ z) \ 1),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). [para(6745(a,1),15704(a,1,1))]. 15707 T((x \ 1) * K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [para(13495(a,1),15705(a,1,1,1,2))]. 15708 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,x \ y). [para(13512(a,1),15707(a,1,1,1))]. 15709 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) = K(z,(x \ 1) * y). [hyper(286,a,13501,a,b,15708,a),flip(a)]. 15710 T(x \ K(x \ (y / T(z,y)),u),z \ y) \ T(x \ 1,T(y / T(z,y),u)) = K(u,x \ (y / T(z,y))). [para(13105(a,1),15708(a,1,1))]. 15711 T(x \ K(y * x,z \ 1),y \ 1) \ T(x \ 1,T(y \ 1,z)) = K(z,x \ (y \ 1)). [para(13530(a,1),15708(a,1,1,1,2))]. 15712 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T((y \ 1) \ z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). [para(13677(a,1),15709(a,1,1))]. 15713 T(x \ K(x \ y,z),y) \ T(x \ 1,T(y,z)) != u | K(z,x \ y) = u. [para(15709(a,2),13560(a,1))]. 15714 (K(x,y) * z) * (u * K(y,T(x,z))) = (z * K(x,y)) * (u * K(y,x)). [hyper(286,a,202,a(flip),b,15318,a),flip(a)]. 15715 K((x \ 1) * T(y,x),T(z,y)) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(12093(a,1),15518(a,1,1))]. 15716 K((x \ 1) * y,z) \ T(z,K(y,x)) = T(z,(x \ 1) * T(y,x)). [para(15269(a,1),15715(a,1,1))]. 15717 K(x,(y \ 1) * z) * T(x,K(z,y)) = T(x,(y \ 1) * T(z,y)). [hyper(5865,a,15716,a)]. 15718 T(x,(y \ 1) * T(z,y)) = T(x,z * (y \ 1)). [hyper(62,a,12206,a(flip),b,15717,a),flip(a)]. 15719 T(x,T(y,z) * (z \ 1)) = T(x,(z \ 1) * y). [hyper(14753,a,15718,a),flip(a)]. 15720 T(x,y * (z * (K(u,w) / v5))) != v6 | T(x,y * (z * (v5 \ K(u,w)))) = v6. [para(15525(a,1),5878(a,1))]. 15721 T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y / ((u * K(v5,w)) * z)). [hyper(15720,a,13812,a)]. 15722 K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). [hyper(10293,a,15534,a),flip(a)]. 15723 K(x,T(T(y / x,z),u)) = K(x,T(T(y,z) / x,u)). [hyper(62,a,9958,a(flip),b,15722,a),flip(a)]. 15724 K(x,L((y * (z * u)) / (y * u),w,v5)) = (u * y) \ ((u * K(x,L(z,w,v5))) * y). [para(11780(a,1),15546(a,2,2,1,2))]. 15725 K(x,(y * (((z \ u) \ 1) * w)) / (y * w)) = K(x,(y * ((u \ z) * w)) / (y * w)). [hyper(286,a,15542,a,b,15549,a),flip(a)]. 15726 x * (y * K(z,T(T(u,y),y * x))) = (y * K(z,u)) * T(x,y). [hyper(62,a,14539,a(flip),b,15574,a),flip(a)]. 15727 x * (K(y,T(z,u * x)) * u) = (u * K(y,z)) * T(x,u). [para(7766(a,1),15726(a,1,2))]. 15728 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,(K(v5,w) * u) * z) * v6). [para(13674(a,1),15624(a,1,2,1))]. 15729 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(62,a,13152,a(flip),b,15636,a)]. 15730 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5839(a,1),15729(a,2,2,2))]. 15731 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(15420,a,15730,a)]. 15732 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8343,a,15731,a)]. 15734 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(15418,a,15732,a),flip(a)]. 15737 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(286,a,8170,a(flip),b,15734,a),flip(a)]. 15738 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(15734(a,2),8231(a,1))]. 15739 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(14979,a,15737,a)]. 15740 K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). [hyper(14955,a,15737,a)]. 15741 T(K(x,y),K(z,u) * w) = K(x,T(y,w)). [hyper(8500,a,15737,a)]. 15742 K(L(x \ y,x,K(z,u)),T(w,x)) = K((K(z,u) * y) / (K(z,u) * x),w). [hyper(8346,a,15737,a),flip(a)]. 15744 K(T(x,K(y,z) * u),w) = K(x,T(w,u)). [hyper(7829,a,15737,a)]. 15746 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,T(L(y,v5,v6),w)). [para(25(a,2),15737(a,1,2))]. 15747 K(x,T(y,T(z,u) * w)) = K(x,T(y,z * w)). [para(4644(a,1),15737(a,1,2,2)),flip(a)]. 15748 K(x,T(y,T(z,u) \ w)) = K(x,T(y,z \ w)). [para(5715(a,1),15737(a,1,2,2)),flip(a)]. 15749 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(6145(a,1),15737(a,1,2,2))]. 15750 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(6567(a,1),15737(a,1,2,2)),flip(a)]. 15751 K(x,T(y,(K(z,u) * w) * v5)) = K(x,T(y,w * v5)). [para(7242(a,1),15737(a,1,2,2))]. 15755 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(15737(a,1),14967(a,1,2))]. 15758 K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(v5,v6))). [hyper(286,a,15737,a,b,15739,a)]. 15760 K(x,T(y,z / (u \ w))) = K(x,T(y,z / (w / u))). [para(7112(a,1),15739(a,1,2,2)),flip(a)]. 15763 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(15739(a,1),14368(a,1))]. 15765 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(15161,a,15740,a)]. 15766 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((K(u,z) * y) * (x \ 1),T(w,y)). [hyper(62,a,14478,a,b,15740,a)]. 15767 K(x,T(y,z)) * (z \ K(u,w)) = (z \ K(u,w)) * K(x,y). [para(15740(a,1),8146(a,1,1))]. 15769 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(15741(a,1),262(a,1,2))]. 15770 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15765(a,1),8146(a,1,1))]. 15772 K((x / T(y,z)) / u,T(w,y \ x)) != v5 | K(u \ (x / T(y,z)),w) = v5. [para(15748(a,1),14977(a,1))]. 15773 K((x * T(y,z)) * u,T(w,x * y)) = K(u * (x * T(y,z)),w). [hyper(12095,a,15749,a),flip(a)]. 15777 K(x,T(y,(z / u) * w)) != v5 | K(x,T(y,(u \ z) * w)) = v5. [para(6020(a,1),15738(a,1,2,2))]. 15779 K(x,T(y,z * K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(7844(a,1),15738(a,1,2,2))]. 15780 K(x / (K(y,z) * u),w) != v5 | K((K(y,z) * u) \ x,T(w,u)) = v5. [para(8165(a,1),15738(a,1))]. 15782 K(x,T(y,z / (u / w))) != v5 | K(x,T(y,z / (w \ u))) = v5. [para(7112(a,1),15779(a,1,2,2))]. 15784 K((x * (K(y,z) * u)) \ w,T(v5,x * u)) = K(w / (x * (K(y,z) * u)),v5). [hyper(8250,a,15750,a),flip(a)]. 15785 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(286,a,8043,a,b,15750,a),flip(a)]. 15787 K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,u * (z \ 1))). [hyper(13818,a,15751,a)]. 15788 K(x * (y * K(z,u)),T(w,y * K(v5,v6))) != v7 | K((y * K(z,u)) * x,w) = v7. [para(15758(a,1),14969(a,1))]. 15789 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(286,a,8043,a,b,15760,a)]. 15791 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [para(25(a,2),15746(a,2,2))]. 15792 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3320(a,1),15755(a,1,2)),flip(a)]. 15793 K(x,T(L(y,z,z \ (K(u,w) * v5)),v5)) * (v5 \ K(w,u)) = ((v5 \ K(w,u)) / (z \ 1)) * (z \ K(x,y)). [hyper(286,a,14575,a(flip),b,15767,a),flip(a)]. 15794 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(62,a,13635,a(flip),b,15770,a)]. 15795 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(62,a,13787,a,b,15794,a)]. 15796 K(x,T(y,z * (u \ K(w,v5)))) = K(x,T(y,z \ u)). [hyper(286,a,14970,a(flip),b,15787,a),flip(a)]. 15797 K(x,T(L(T(y,K(z,u) * w),v5,v6),v7)) = K(T(x,v7),L(T(y,w),v5,v6)). [hyper(7981,a,15791,a)]. 15798 K(x,L(T(y,T(z,u) * w),v5,v6)) = K(x,L(T(y,z * w),v5,v6)). [para(4644(a,1),15791(a,1,2,1,2)),flip(a)]. 15799 K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). [para(6145(a,1),15791(a,1,2,1,2))]. 15800 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(8268,a,15785,a)]. 15801 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15009,a,15800,a)]. 15802 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). [hyper(286,a,15028,a,b,15800,a),flip(a)]. 15803 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(4796(a,1),15800(a,1,2,2)),flip(a)]. 15804 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4638(a,1),15800(a,1,2,2))]. 15805 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(4644(a,1),15800(a,1,2,2,2)),flip(a)]. 15806 K(x,K(y,z * (T(u,w) \ v5))) = K(x,K(y,z * (u \ v5))). [para(5715(a,1),15800(a,1,2,2,2)),flip(a)]. 15807 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(5846(a,1),15800(a,1,2,2)),flip(a)]. 15808 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(6011(a,2),15800(a,1,2,2))]. 15809 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(7844(a,1),15800(a,1,2,2,2))]. 15814 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(62,a,14984,a,b,15803,a)]. 15815 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6605(a,1),15803(a,1,2,2))]. 15816 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(7111(a,2),15803(a,1,2,2))]. 15817 K(x,K(y,z / (u \ w))) = K(x,K(y,z / (w / u))). [para(7112(a,1),15803(a,1,2,2)),flip(a)]. 15818 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(7277(a,1),15803(a,1,2,2)),flip(a)]. 15819 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(8024(a,1),15803(a,1,2,2))]. 15820 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10819(a,1),15803(a,1,2,2))]. 15821 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,(z * K(u,w)) * y). [para(15803(a,1),12192(a,1,2))]. 15822 K(x,K(y,z)) * K(x,y * (K(u,w) \ (z \ 1))) = K(x,(K(u,w) \ (z \ 1)) * y). [para(15803(a,1),12193(a,1,1))]. 15823 K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). [hyper(8437,a,15807,a)]. 15824 K(x,K(y,K(z,u) * w)) = K(x,K(w,y)). [hyper(286,a,8077,a,b,15807,a),flip(a)]. 15825 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(286,a,8060,a(flip),b,15807,a),flip(a)]. 15826 K(x,K(y,(z \ u) \ w)) = K(x,K(y,(u / z) \ w)). [para(6001(a,1),15807(a,1,2,2)),flip(a)]. 15827 T(x,K(y,K(z,u) * w)) = K(y,K(x,w)) * x. [para(15807(a,1),8062(a,1,1)),flip(a)]. 15829 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(14999,a,15814,a)]. 15830 K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). [hyper(286,a,8060,a(flip),b,15814,a),flip(a)]. 15832 K(x,K(y,z)) * K(y,x * (z \ K(u,w))) = K(y,(z \ K(u,w)) * x). [para(15823(a,1),12189(a,1,1))]. 15833 K(x,(y \ K(z,u)) * w) * K(x,K(w,y)) = K(x,w * (y \ K(z,u))). [para(15823(a,1),12194(a,1,2))]. 15834 K(x,K(y,z \ T(u,w))) = K(x,K(y,u \ z)). [para(14879(a,1),15823(a,1,2))]. 15835 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(15195,a,15824,a)]. 15836 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(11780(a,1),15824(a,1,2))]. 15837 K(x,(K(y,z) * u) * w) * K(x,K(u,w)) = K(x,w * (K(y,z) * u)). [para(15824(a,1),12194(a,1,2))]. 15840 K((K(x,y) * z) * u,w) * K(z,K(u,w)) = K(u * (K(x,y) * z),w). [para(15825(a,1),12156(a,1,2))]. 15841 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(286,a,8077,a,b,15829,a),flip(a)]. 15843 K(x,K(y,K(z,u) \ w)) != v5 | K(x,K(y,w)) = v5. [para(15830(a,2),8097(a,1))]. 15844 K(x,K(y,z)) \ (x * K(u,w)) = T(x * K(u,w),K(y,z)). [para(15830(a,1),15242(a,1,1))]. 15845 K(x,K(y * T(z,u),w)) = K(x,K(y * z,w)). [para(1271(a,1),15835(a,1,2,1))]. 15846 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1268(a,1),15835(a,1,2,1))]. 15847 K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K((y * K(z,u)) * x,w). [para(15835(a,1),12158(a,1,2))]. 15849 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(8109,a,15841,a)]. 15850 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15841(a,1),8421(a,1))]. 15851 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(11780(a,1),15841(a,1,2))]. 15852 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(286,a,15835,a,b,15849,a),flip(a)]. 15853 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [hyper(15208,a,15804,a)]. 15854 K((T(x,y) * z) * u,w) * K(u,K(w,x * z)) = K(u * (T(x,y) * z),w). [para(15804(a,1),12156(a,1,2))]. 15855 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(222(a,1),15815(a,1,2,2,2)),flip(a)]. 15857 K(x,y * (T(z,u) \ w)) * K(x,K(y,z \ w)) = K(x,(T(z,u) \ w) * y). [para(15819(a,1),12192(a,1,2))]. 15858 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(286,a,8062,a(flip),b,15827,a),flip(a)]. 15859 T(x,K(y,K(z,u) * w)) != v5 | T(x,K(y,w)) = v5. [para(15827(a,2),8065(a,1))]. 15861 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(6145(a,1),15858(a,1,2,2))]. 15862 T(T(x,K(y,z)),(K(u,w) * z) * y) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(15858(a,1),12137(a,1,1))]. 15863 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(15858(a,1),14707(a,1,2,1,2))]. 15864 T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). [para(15219(a,1),15858(a,1,2))]. 15865 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ T(u,v5))). [hyper(286,a,15834,a,b,15834,a)]. 15866 K(x,K(y,(z * u) \ w)) = K(x,K(y,w \ (u * z))). [para(13120(a,1),15834(a,1,2)),flip(a)]. 15867 (x * T(y,z)) * K(u,K(x * y,w)) != v5 | T(x * T(y,z),K(u,w)) = v5. [para(15845(a,1),8064(a,1,2))]. 15868 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(62,a,15502,a(flip),b,15846,a),flip(a)]. 15869 K(x,K(y,z * u)) * K(y * (u * T(z,w)),x) = K((u * T(z,w)) * y,x). [para(15853(a,1),15250(a,1,1))]. 15870 T(T(x,K(y,z * u)),(z * T(u,w)) * y) = T(x,y * (z * T(u,w))). [para(15861(a,1),12114(a,1,1))]. 15872 K(x,K(y,T(z,u) * w)) != v5 | K(x,K(y,z * w)) = v5. [para(5727(a,1),15843(a,1,2,2))]. 15874 K(x,K(T(y,z) * u,w)) != v5 | K(x,K(y * u,w)) = v5. [para(6128(a,1),15850(a,1,2,1))]. 15876 T(x,K(y,(z / u) * w)) != v5 | T(x,K(y,(u \ z) * w)) = v5. [para(6020(a,1),15859(a,1,2,2))]. 15877 T(x,K(y,z * K(u,w))) != v5 | T(x,K(y,z)) = v5. [para(7844(a,1),15859(a,1,2,2))]. 15879 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(4675(a,1),15802(a,1,2,2,2))]. 15880 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [para(8209(a,1),15802(a,1,2,2,2)),flip(a)]. 15881 K(x,K(y,((z * u) \ w) * v5)) = K(x,K(y,v5 * ((u * z) \ w))). [para(11413(a,1),15802(a,1,2,2,2)),flip(a)]. 15882 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,((u \ v5) * v6) * z)). [para(14599(a,1),15802(a,1,2,2,2))]. 15883 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(15802(a,2),15208(a,1))]. 15884 K(x,K(y,z * (u * (w * v5)))) = K(x,K(y,z * (u * (v5 * w)))). [para(7093(a,1),15809(a,1,2,2,2))]. 15885 K(x,K(y,z * (u * (w * T(v5,v6))))) = K(x,K(y,z * (u * (w * v5)))). [para(7483(a,1),15809(a,1,2,2,2))]. 15886 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15817(a,1),8600(a,1,1))]. 15887 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1268(a,1),15818(a,1,2,2,1))]. 15888 K(x,K(y,((z \ u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(7006(a,1),15818(a,1,2,2,1)),flip(a)]. 15889 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15818(a,2),15208(a,1))]. 15890 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8434,a,15820,a)]. 15891 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,11813,a(flip),b,15852,a),flip(a)]. 15893 K(x * (y \ T(z,u)),w) * K(x,K(w,y \ T(z,v5))) = K((y \ T(z,u)) * x,w). [para(15865(a,1),12159(a,1,2))]. 15896 K(x,K(y,(z \ (u * w)) * v5)) = K(x,K(y,v5 * (z \ (w * u)))). [para(13803(a,1),15880(a,1,2,2,1))]. 15897 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(286,a,8397,a,b,15890,a)]. 15898 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15890(a,1),8434(a,1))]. 15899 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15890(a,2),8434(a,1))]. 15900 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(286,a,15503,a(flip),b,15897,a),flip(a)]. 15901 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(844(a,1),15897(a,1,2,2)),flip(a)]. 15902 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15897(a,1),8434(a,1))]. 15903 K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,(u / z) * w)) = v5. [para(110(a,1),15872(a,1,2,2,1))]. 15904 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(15028(a,1),15872(a,1))]. 15905 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(15562(a,1),15872(a,1,2))]. 15906 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(286,a,15001,a(flip),b,15801,a),flip(a)]. 15907 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8434,a,15906,a)]. 15908 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(6145(a,1),15906(a,1,2,2,1))]. 15909 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(7242(a,1),15907(a,1,2,2,2))]. 15910 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8209(a,1),15907(a,1,2,2,2)),flip(a)]. 15911 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15910(a,1),15322(a,1,1))]. 15912 K(x,K((T(y,z) * u) * w,v5)) = K(x,K(v5,w * (y * u))). [hyper(15195,a,15805,a)]. 15914 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(8105,a,15844,a),flip(a)]. 15917 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6583,a,15914,a),flip(a)]. 15919 T((x \ 1) * K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). [hyper(13786,a,15914,a(flip)),flip(a)]. 15920 ((x * T(y,K(z,u))) * K(w,v5)) / a(x,T(y,K(z,u)),K(w,v5)) = x * T(y * K(w,v5),K(z,u)). [para(15914(a,2),172(a,2,2))]. 15921 T(R(x,y,y \ K(z,u)),K(w,v5)) * K(z,u) = T((x * y) * (y \ K(z,u)),K(w,v5)). [para(323(a,1),15914(a,1,1)),flip(a)]. 15926 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(286,a,8604,a,b,15851,a),flip(a)]. 15928 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(222(a,1),15887(a,1,2,2,1,1)),flip(a)]. 15929 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(62,a,15890,a(flip),b,15908,a)]. 15930 K(x * ((T(y,z) * u) * w),v5) * K(x,K(v5,w * (y * u))) = K(((T(y,z) * u) * w) * x,v5). [para(15912(a,1),12158(a,1,2))]. 15931 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(110(a,1),15929(a,1,2,2,2,1)),flip(a)]. 15933 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(62,a,14593,a(flip),b,15868,a)]. 15934 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(8131(a,1),15868(a,1,2,1))]. 15935 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(4605(a,1),15883(a,1,2,2,2))]. 15938 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(7844(a,1),15883(a,1,2,2,2))]. 15939 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6605(a,1),15889(a,1,2,2,1))]. 15940 K(x,K(y,z * (u * x))) = K(x,K(y,u * z)). [hyper(15935,a,15192,a)]. 15941 K(x,K((y * z) * u,w)) != v5 | K(x,K(w,u * (z * y))) = v5. [para(15041(a,2),15935(a,1))]. 15942 K(x,K(y,z * ((z * x) \ u))) = K(x,K(u,y)). [hyper(15263,a,15940,a),flip(a)]. 15943 K(x,K(y,z * u)) * K(y,(u * (z * x)) / x) = K(y,x \ (u * (z * x))). [para(15940(a,1),8726(a,1,1))]. 15945 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(62,a,13651,a(flip),b,15792,a),flip(a)]. 15946 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(62,a,15795,a(flip),b,15945,a),flip(a)]. 15947 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(15946(a,2),10251(a,2,2))]. 15948 K(x,L(T(T(y,T(z,u)),z * w),T(z,u),w)) = K(x,(w * (y * T(z,u))) / (w * T(z,u))). [hyper(62,a,15548,a(flip),b,15798,a),flip(a)]. 15949 K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,z * (w / u)),v5,v6)). [para(110(a,1),15799(a,1,2,1,2,2))]. 15950 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(12(a,1),15884(a,1,2,2,2,2)),flip(a)]. 15951 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(775(a,1),15888(a,2,2,2,1,1))]. 15952 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(286,a,8397,a,b,15909,a),flip(a)]. 15953 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15208,a,15928,a)]. 15954 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15898,a,15952,a)]. 15955 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(73(a,1),15953(a,1,2,2,2,1,2)),flip(a)]. 15956 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15953(a,1),15208(a,1))]. 15958 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(15954(a,2),15898(a,1))]. 15961 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(T(x,v5),L(T(y,w),v6,v7)). [para(25(a,2),15797(a,1,2))]. 15962 K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,(y \ K(u,w)) * x). [para(8077(a,1),15832(a,1,1))]. 15963 K(x,(y \ K(z,u)) * w) * K(x,K(y,w)) = K(x,w * (y \ K(z,u))). [para(8077(a,1),15833(a,1,2))]. 15965 K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,T(y,K(z,u * w))) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). [para(15870(a,1),14735(a,2,2,1))]. 15966 K(x,K(y,z * (u * (T(w,v5) * v6)))) = K(x,K(y,z * (u * (v6 * w)))). [hyper(62,a,15884,a,b,15885,a)]. 15967 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,T(L(T(y,w),v6,v7),v5)). [hyper(286,a,7777,a(flip),b,15961,a),flip(a)]. 15968 K(x,L(T(T(y,K(z,u) * w),v5),v6,v7)) = K(x,L(T(T(y,w),v5),v6,v7)). [para(25(a,2),15967(a,2,2))]. 15969 K(x,L(T(T(y,T(z,u)),w),v5,v6)) = K(x,L(T(T(y,z),w),v5,v6)). [para(1092(a,2),15968(a,1,2,1,1,2))]. 15970 K(L(x / y,y,K(z,u)),w) = K((K(z,u) * x) / (K(z,u) * y),w). [hyper(8264,a,15742,a)]. 15971 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4768(a,1),15958(a,1,2,2,2,2))]. 15972 K(L((K(x,y) * z) \ 1,K(x,y) * z,u),T(w,u * z)) = K(u / (u * (K(x,y) * z)),w). [para(195(a,2),15784(a,1,1))]. 15973 (x * K((y * (K(z,u) * w)) \ v5,T(v6,y * w))) \ x = K(v6,v5 / (y * (K(z,u) * w))). [para(15784(a,2),6895(a,1,1,2))]. 15974 K((T(x,y) * z) * u,w) * K(u,K(w,T(x,v5) * z)) = K(u * (T(x,y) * z),w). [para(15804(a,2),15854(a,1,2))]. 15975 K(x,y * (T(z,u) \ w)) * K(x,K(y,w / z)) = K(x,(T(z,u) \ w) * y). [para(14992(a,1),15857(a,1,2))]. 15976 K(x,K(y,z * u)) * K(y * (z * T(u,w)),x) = K((z * T(u,w)) * y,x). [para(15028(a,1),15869(a,1,1))]. 15977 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(286,a,15926,a(flip),b,15891,a),flip(a)]. 15979 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(286,a,10610,a(flip),b,15977,a),flip(a)]. 15980 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15850,a,15979,a)]. 15982 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15336,a,15911,a),flip(a)]. 15983 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6605(a,1),15982(a,1,2,2,1))]. 15984 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8480,a,15983,a)]. 15985 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(286,a,9533,a(flip),b,15984,a),flip(a)]. 15986 K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). [para(110(a,1),15984(a,1,2,2,2,2))]. 15987 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15984(a,1),4834(a,1,1)),flip(a)]. 15988 T(x \ K(x \ K(y,z),u),K(z,y)) = K(z,y) * T(x \ K(y,z),u). [para(13512(a,1),15919(a,1,1))]. 15989 K(x,K(y,z * u)) * K((z * T(u,w)) * y,x) = K(y * (z * T(u,w)),x). [hyper(8102,a,15976,a)]. 15990 K(x,K(y,z * u)) * K((z * T(u,y * z)) * y,x) = K(L(u,z,y) * (y * z),x). [para(578(a,1),15989(a,2,1))]. 15992 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(y * (R(z,w,v5) * u)) / (y * u)). [hyper(286,a,15550,a,b,15724,a),flip(a)]. 15994 K((K(x,y) * z) / u,T(w,z)) = K(((u \ 1) * u) / ((z \ K(y,x)) * u),w). [hyper(286,a,13606,a(flip),b,15766,a)]. 15995 K(x,K(y,z)) * K(x,y * (K(u,w) * (z \ 1))) = K(x,(K(w,u) \ (z \ 1)) * y). [para(5839(a,1),15822(a,1,2,2,2))]. 15996 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(15858(a,1),15863(a,1,2)),flip(a)]. 15997 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(286,a,14707,a(flip),b,15996,a),flip(a)]. 15998 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(15996(a,2),15314(a,1))]. 16000 T(x,y * K(z,K(u,w) * v5)) = T(x,K(v5,z) * y). [hyper(15294,a,15997,a)]. 16001 T(x,T(y,K(z,u) * w) * v5) = T(x,K(w,y) * (y * v5)). [hyper(62,a,14717,a(flip),b,15997,a)]. 16002 K(x,y * K(z,K(u,w) * v5)) = x \ T(x,K(v5,z) * y). [hyper(115,a,16000,a(flip),b,4659,a(flip)),flip(a)]. 16003 K(x * K(y,K(z,u) * w),v5) = v5 / T(v5,K(w,y) * x). [para(16000(a,1),4617(a,2,2))]. 16004 T(x,T(y,K(z,u) * w) * v5) = T(x,T(y,w) * v5). [hyper(286,a,14717,a(flip),b,16001,a),flip(a)]. 16005 T(x,y / T(K(z,u) * w,y)) = T(x,T(y,w) * (w \ K(u,z))). [hyper(62,a,13831,a,b,16004,a)]. 16006 K(x,y * K(z,K(u,w) * v5)) != v6 | K(x,K(v5,z) * y) = v6. [para(16002(a,2),4728(a,1))]. 16007 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(286,a,4617,a,b,16003,a),flip(a)]. 16008 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(16003(a,2),4697(a,1))]. 16009 K(K(x,K(y,z) * u) * w,v5) = K(K(u,x) * w,v5). [hyper(15094,a,16007,a)]. 16010 K(K(x,y) * z,u) = K(z * K(y,x),u). [para(5903(a,1),16007(a,1,1,2)),flip(a)]. 16011 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(286,a,15067,a,b,16010,a)]. 16013 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [hyper(286,a,16007,a(flip),b,16010,a),flip(a)]. 16014 K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). [hyper(286,a,15434,a(flip),b,16010,a),flip(a)]. 16015 K(x * K(y,y * z),u) = K(K(z,y) * x,u). [hyper(62,a,13190,a(flip),b,16010,a),flip(a)]. 16016 K(x * K(y \ z,y),u) = K(K(y,z) * x,u). [hyper(62,a,13161,a(flip),b,16010,a),flip(a)]. 16017 K(K(x,y) * (y * z),u) = K(y * (z * K(y,x)),u). [para(7648(a,1),16010(a,2,1))]. 16018 K(K(x,T(y,z)) * u,w) = K(u * K(y,T(x,z)),w). [para(7777(a,1),16010(a,1,1,1))]. 16019 K(((x * y) * z) * K(x,y),u) = K((y * x) * z,u). [para(11376(a,1),16010(a,1,1)),flip(a)]. 16020 K(K(L(x,y,z),u) * (z * y),w) = K(z * (y * K(u,x)),w). [para(11753(a,1),16010(a,2,1))]. 16021 K(K(x * K(y,z),(K(z,y) * x) \ u) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(16010(a,1),13161(a,1,1,1))]. 16022 K(x * K(L(y,z,u \ 1),(w / u) * z),v5) = K(K(w * ((u \ 1) * z),y) * x,v5). [para(13912(a,1),16010(a,1,1,1)),flip(a)]. 16023 a(K(x,y),z,K(u,w) * v5) = a(x,z,K(v5 * K(w,u),y)). [para(16010(a,1),14176(a,2,3))]. 16024 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(16010(a,1),15093(a,1))]. 16025 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16010(a,2),15094(a,1))]. 16026 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(16010(a,2),15481(a,1))]. 16027 K(K(x * y,y) * z,u) = K(K(y,x) * z,u). [hyper(15500,a,16011,a)]. 16028 K(K(x \ y,x) * (y \ z),u) = K(T(y,x) \ z,u). [hyper(13159,a,16011,a),flip(a)]. 16029 K(K(x,y) * z,u \ 1) = K(z \ K(x,y),u). [hyper(6971,a,16011,a),flip(a)]. 16030 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [para(5741(a,1),16011(a,1,1)),flip(a)]. 16031 K(K(x,y) * z,u \ 1) != w | K(z \ K(x,y),u) = w. [para(16011(a,1),6971(a,1))]. 16032 K(K(x,y \ z) * u,w) != v5 | K(K(z \ y,x) * u,w) = v5. [para(16011(a,1),14814(a,1))]. 16033 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(16011(a,1),15093(a,1))]. 16034 K(K(x,T(y,z)) * u,(K(x,T(y,z)) * u) \ w) = K(u * K(y,x),w / (K(x,T(y,z)) * u)). [hyper(62,a,4788,a,b,16014,a)]. 16035 T(x,a(y,z,K(u,T(w,v5)) * v6)) = x * a(x,z,K(v6 * K(w,u),y)). [para(16014(a,1),14206(a,1,2,3)),flip(a)]. 16036 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(16014(a,1),15414(a,1))]. 16037 K(K(x * (y * z),L(z,y,x)) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(92(a,1),16027(a,1,1,1,1))]. 16038 K(x \ K(y,z \ 1),u) = K(K(y,z) * x,u \ 1). [hyper(14807,a,16029,a),flip(a)]. 16040 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u \ 1),w). [hyper(62,a,13871,a,b,16029,a)]. 16041 K(x,y) * a(x,z,K(u \ K(w,v5),y)) = K(x,L(y,z,(K(w,v5) * u) \ 1)). [para(16029(a,1),14261(a,1,2,3))]. 16042 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(62,a,14808,a,b,16030,a)]. 16043 K(T(x \ y,x) \ z,u) = K((y / x) \ z,u). [para(6001(a,1),16030(a,1,1)),flip(a)]. 16044 K(T(x,y) \ z,T(u,x)) = K(z * T(x \ 1,y),u). [hyper(62,a,15273,a(flip),b,16042,a),flip(a)]. 16045 K(T(x \ y,y) \ z,u) = K((y / x) \ z,u). [hyper(62,a,13193,a,b,16043,a)]. 16046 K((x / (x / y)) \ z,u) = K(T(y,x) \ z,u). [para(76(a,1),16045(a,1,1,1,1)),flip(a)]. 16047 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(16046(a,1),7507(a,1))]. 16048 K(x * K(K(y,z) * u,w),v5) = K(K(u,w) * x,v5). [hyper(16024,a,16007,a)]. 16049 K(K(x * y,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(13191(a,2),16025(a,1))]. 16050 K(K(x \ y,z) * u,w) != v5 | K(K(z,y \ x) * u,w) = v5. [para(14809(a,1),16025(a,1))]. 16051 K(K(K(x,y) * z,u) * w,v5) = K(K(u,z) * w,v5). [para(5846(a,1),16009(a,1,1,1,2)),flip(a)]. 16052 K(K((x / y) * z,u) * w,v5) = K(K(u,(y \ x) * z) * w,v5). [para(6188(a,1),16009(a,1,1,1,2)),flip(a)]. 16053 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(15479,a,16013,a)]. 16054 K(K((x \ y) * z,u) * w,v5) = K(K((y / x) * z,u) * w,v5). [para(6020(a,1),16013(a,1,1,1,1)),flip(a)]. 16055 K(K(((x * y) * R(z,x,y)) * u,w) * v5,v6) = K(K(((z * x) * y) * u,w) * v5,v6). [para(11383(a,1),16013(a,1,1,1,1))]. 16056 K(x * (K(y,x) * z),u) = K(x * (z * K(x,y)),u). [para(5885(a,1),16017(a,1,1))]. 16057 K((K(x,y) * z) * K(y,T(u,x)),w) = K(T(T(y,x),u) \ (y * z),w). [para(5891(a,1),16018(a,1,1)),flip(a)]. 16058 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(11439(a,1),16028(a,1,1))]. 16059 K(T(x,y) \ z,T(u,x)) = K(z / (y * (x / y)),u). [hyper(15452,a,16058,a),flip(a)]. 16060 K(T(x,y) \ z,u \ 1) = K(z \ (y * (x / y)),u). [hyper(6802,a,16058,a),flip(a)]. 16061 K(x / y,L(T(z,x * (u / y)),x,u / y)) = K(T(u,y) \ (x * (u / y)),z). [hyper(62,a,14485,a,b,16058,a)]. 16062 K(x \ K(y,z \ 1),u) = K(x \ K(y,z),u). [hyper(286,a,16029,a(flip),b,16038,a),flip(a)]. 16063 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(15134,a,16044,a),flip(a)]. 16064 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [para(4893(a,1),16063(a,1,1,2,1)),flip(a)]. 16065 K(x * K(T(y,z) \ u,w),v5) = K(K(y \ u,w) * x,v5). [para(5741(a,1),16048(a,1,1,2,1))]. 16067 K(K(K(x,y) * z,u) * w,v5) != v6 | K(K(z,u) * w,v5) = v6. [para(16051(a,2),16025(a,1))]. 16068 K(K(x,y) * ((y * (x * K(z,u))) * w),v5) = K(((x * K(z,u)) * y) * w,v5). [para(11376(a,1),16053(a,1,1)),flip(a)]. 16070 K(x * (K(y,x) * z),u) = K(T(x,y) * z,u). [hyper(286,a,15121,a(flip),b,16056,a),flip(a)]. 16071 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(62,a,13167,a,b,16070,a)]. 16072 K(((x * y) / x) * z,u) = K(T(y,x) * z,u). [para(6011(a,2),16070(a,1,1))]. 16073 K(T(x \ y,x) * z,u) = K((y / x) * z,u). [para(6042(a,1),16070(a,1,1)),flip(a)]. 16074 K(x * (y * (z / y)),u) = K(T(z,y) * x,u) * K(z,K(x,u)). [para(16071(a,1),15045(a,1,1)),flip(a)]. 16075 K(T(x,y) * z,L(u,z,y \ 1)) != w | K((y * x) * ((y \ 1) * z),u) = w. [para(16072(a,1),13913(a,1))]. 16076 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,y) * a(x,z,K(T(w,u) * v5,y \ 1)). [para(16072(a,1),14261(a,1,2,3)),flip(a)]. 16077 K(T(x \ y,y) * z,u) = K((y / x) * z,u). [hyper(62,a,13166,a,b,16073,a)]. 16079 K(x / (y * (z / y)),u) != w | K(x / T(z,y),u) = w. [para(16059(a,1),15134(a,1))]. 16080 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [hyper(6802,a,16060,a),flip(a)]. 16081 K(x \ (y * (z / y)),u) != w | K(x \ T(z,y),u) = w. [para(16060(a,1),6802(a,1))]. 16082 K(x \ T(y,x),z) = K(y / x,z). [hyper(7510,a,16080,a),flip(a)]. 16083 K(x / y,L(T(z,u * y),y,u)) = K((u * T(x,y)) / (u * y),z). [hyper(11794,a,16082,a),flip(a)]. 16084 K(x / y,L(T(z,u),y,y \ u)) = K(((u / y) * T(x,y)) / u,z). [hyper(62,a,11789,a(flip),b,16082,a),flip(a)]. 16085 a(x,y,K(z * K(u,w),v5)) != v6 | a(x,y,K(K(w,u) * z,v5)) = v6. [para(16023(a,1),14237(a,1))]. 16086 T(x,K(y / z,u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(4699(a,1),15998(a,1,2,1,1))]. 16087 K(x,K(K(y,z) * u,w) * v5) = K(x,K(u,w) * v5). [hyper(16006,a,15218,a(flip)),flip(a)]. 16088 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(15066(a,2),16006(a,1))]. 16089 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. [para(15218(a,2),16006(a,1))]. 16090 K(x,K(y \ K(z,u),w) * v5) = K(x,K(y,w) * v5). [hyper(14798,a,16087,a)]. 16092 K(x,K(y,z \ K(u,w)) * v5) = K(x,K(z,y) * v5). [hyper(14721,a,16090,a)]. 16094 K(x,K(y,z) * (u * (y \ K(w,v5)))) != v6 | K(x,u * T(y \ K(w,v5),z)) = v6. [para(16090(a,1),15159(a,1))]. 16095 K(K(x * (y * K(z,u)),w) * v5,v6) = K(K(w,x * y) * v5,v6). [para(16020(a,1),16051(a,1,1,1))]. 16096 K(K((x / y) * z,u) * w,v5) != v6 | K(K((y \ x) * z,u) * w,v5) = v6. [para(6020(a,1),16067(a,1,1,1,1))]. 16097 K(K(x * K(y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(7844(a,1),16067(a,1,1,1,1))]. 16098 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. [para(1092(a,2),16088(a,1,2,1,2))]. 16099 K(x,K(y,z * u) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(4605(a,1),16088(a,1,2,1,2))]. 16100 K(x,K(y,z * K(u,w)) * v5) != v6 | K(x,K(z,y) * v5) = v6. [para(7844(a,1),16088(a,1,2,1,2))]. 16101 K(x,K(y,z * (u * K(w,v5))) * v6) != v7 | K(x,K(z * u,y) * v6) = v7. [para(15219(a,1),16088(a,1,2,1))]. 16102 K(x,T(K(y,T(z,u)) * w,v5)) = K(T(x,v5),K(z,y) * w). [hyper(16098,a,7777,a),flip(a)]. 16103 K(x,K(y,z / (z * u)) * w) = K(x,K(u,y) * w). [hyper(16098,a,14818,a(flip)),flip(a)]. 16104 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(16098,a,xx),flip(a)]. 16105 K(x,K(y * z,u) * w) = K(x,K(u,z * y) * w). [para(12070(a,1),16104(a,1,2,1)),flip(a)]. 16107 K(x,K(y,(z * u) \ u) * w) = K(x,K(z,y) * w). [para(8333(a,2),16103(a,1,2,1))]. 16108 K(x,K(y,z * u) * w) = K(x,K(y,u * z) * w). [hyper(14721,a,16105,a)]. 16109 K(x,K(y,z * K(u,w)) * v5) = K(x,K(z,y) * v5). [hyper(62,a,16087,a(flip),b,16105,a),flip(a)]. 16110 K(x,K(y,z * u) * w) != v5 | K(x,K(y,u * z) * w) = v5. [para(16105(a,1),14721(a,1))]. 16111 K(x,K(y,y * z) * (z \ u)) = K(x,T(z,y * z) \ u). [hyper(62,a,13133,a(flip),b,16107,a),flip(a)]. 16112 K(x,K(y * T(z,u),w) * v5) = K(x,K(w,y * z) * v5). [para(6610(a,1),16109(a,1,2,1,2)),flip(a)]. 16113 K(x,K(y,z * (u * K(w,v5))) * v6) = K(x,K(z * u,y) * v6). [para(11753(a,1),16109(a,1,2,1,2))]. 16114 K(x,K(y,z) * (u * (y * K(w,v5)))) != v6 | K(x,u * T(y * K(w,v5),z)) = v6. [para(16109(a,1),15341(a,1))]. 16115 K(x,T(K(y,T(z,u)) * w,v5)) = K(x,T(K(z,y) * w,v5)). [hyper(286,a,7777,a(flip),b,16102,a),flip(a)]. 16116 K(x,K(y,z * T(u,w)) * v5) = K(x,K(y,z * u) * v5). [hyper(14721,a,16112,a)]. 16117 K(x,T(y * K(z,T(u,w)),v5)) = K(x,T(K(u,z) * y,v5)). [hyper(15301,a,16115,a)]. 16118 K(x,K(y / z,u) * w) != v5 | K(x,K(z \ y,u) * w) = v5. [para(4699(a,1),16089(a,1,2,1,1))]. 16119 K(x,K((T(y,z) \ u) * w,v5) * v6) != v7 | K(x,K((y \ u) * w,v5) * v6) = v7. [para(14599(a,1),16089(a,1,2,1,1))]. 16120 K((K(x * K(y,z),u) * w) * v5,v6) != v7 | K(K(x,L(u,w,v5)) * (w * v5),v6) = v7. [para(14399(a,1),16097(a,1,1))]. 16122 K(x,K(y \ z,(z / y) \ u) * (u \ w)) = K(x,T(u,z / y) \ w). [hyper(16118,a,13133,a)]. 16123 K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(y \ ((u \ 1) / z),w) * v5) = v6. [para(14790(a,1),16118(a,1))]. 16125 T(x,T(y,z) * (z \ K(u,w))) = T(x,(K(w,u) * z) \ y). [hyper(62,a,13105,a(flip),b,16005,a),flip(a)]. 16126 K(K(x,(y \ z) * u) * w,v5) = K(w * K(x,(z / y) * u),v5). [hyper(16033,a,16052,a),flip(a)]. 16127 K(K(x,(y \ z) * u) * w,v5) = K(K(x,(z / y) * u) * w,v5). [hyper(16025,a,16052,a),flip(a)]. 16128 (x * K(K((y \ z) * u,w) * v5,v6)) \ x = K(v6,K((z / y) * u,w) * v5). [para(16054(a,2),6895(a,1,1,2))]. 16129 K(x * (y * (z / y)),u) = K(x * T(z,y),u). [hyper(286,a,15020,a(flip),b,16074,a),flip(a)]. 16130 K(K(x,y * (z * T(u,w))) * v5,v6) = K(K(y * (z * u),x) * v5,v6). [para(6610(a,1),16095(a,1,1,1,1,2)),flip(a)]. 16132 K(x * K(y,(z \ u) * w),v5) = K(x * K(y,(u / z) * w),v5). [hyper(15093,a,16126,a)]. 16133 T(x,a(y,z,K(u,T(w,v5)) * v6)) != v7 | T(x,a(y,z,v6 * K(w,u))) = v7. [para(16035(a,2),14208(a,1))]. 16134 K(K(x,y) * (z * K(y,T(u,x))),w) = K(T(T(y,x),u) \ (y * z),w). [para(8005(a,1),16057(a,1,1))]. 16135 K(T(T(x,y),z) \ (x * u),w) = K(K(y,x) * (u * K(x,z)),w). [hyper(62,a,15449,a(flip),b,16134,a),flip(a)]. 16137 K((T(T(x,y),z) \ x) * u,w) = K(K(y,x) * (u * K(x,z)),w). [para(14603(a,1),16135(a,1,1))]. 16138 K((T(x,y) * z) * u,w) * K(T(x,v5) * z,K(u,w)) = K(u * (T(x,y) * z),w). [para(8060(a,1),15974(a,1,2))]. 16139 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(y * u) / (y * (R(z,w,v5) \ u))). [hyper(286,a,11926,a(flip),b,15992,a),flip(a)]. 16140 K(x,K(y,z)) * K(x,y * (K(u,L(w,v5,v6)) * (z \ 1))) = K(x,(K(w,L(u,v5,v6)) \ (z \ 1)) * y). [para(11780(a,1),15995(a,1,2,2,2,1))]. 16141 K(x \ (((y / (T(z \ 1,u) \ 1)) \ 1) * (y / z)),w) = K(x \ K(z,u),w). [hyper(286,a,16062,a(flip),b,16040,a),flip(a)]. 16142 K(x \ K(y,z \ (u \ 1)),w) = K(x \ K(u * z,y),w). [para(13993(a,1),16141(a,1,1,2))]. 16143 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(286,a,15841,a(flip),b,14997,a),flip(a)]. 16144 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15006,a,16143,a)]. 16146 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(62,a,14391,a(flip),b,16144,a),flip(a)]. 16147 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(8109,a,16146,a)]. 16148 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(15310,a,16147,a),flip(a)]. 16149 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(76(a,1),16148(a,1,2,2,1,2))]. 16150 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(62,a,11102,a(flip),b,16149,a),flip(a)]. 16151 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(62,a,15855,a(flip),b,16150,a),flip(a)]. 16152 K(x,K(y,z * x)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(16150(a,1),15287(a,1,1))]. 16153 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(8058,a,16151,a)]. 16154 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(286,a,8056,a,b,16153,a),flip(a)]. 16155 K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(16154(a,1),15286(a,1,1))]. 16156 K(x,K(y,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). [para(8694(a,1),16152(a,1,1))]. 16157 K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). [para(4788(a,1),16156(a,1,2))]. 16158 K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(8678(a,1),16155(a,1,1))]. 16159 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). [para(8077(a,1),16158(a,1,1))]. 16160 K(L(K(x,y) * z,K(y,x),u),T(w,u)) = K((u * z) / (u * K(y,x)),w). [hyper(15738,a,15490,a)]. 16162 K(x,x \ (y / z)) * K(z \ y,T(T(x,z),x)) = x \ R(x,x \ (z \ y),x). [para(12099(a,1),15638(a,1,2))]. 16163 x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(y \ z,T(x,y)). [para(165(a,1),16162(a,1,2,2)),flip(a)]. 16164 x \ R(x,x \ (y \ z),x) = K(x,x \ (z / y)) * K(z / y,x). [para(8165(a,1),16163(a,2,2))]. 16165 x \ R(x,x \ (y \ z),x) = a(x,x \ (z / y),x). [hyper(286,a,9196,a(flip),b,16164,a),flip(a)]. 16166 a(x,x \ (y \ z),x) = a(x,x \ (z / y),x). [hyper(9189,a,16165,a)]. 16167 a(x,x \ R(y \ 1,y,z),x) = a(x,x \ ((y * z) \ z),x). [para(4900(a,2),16166(a,2,2,2)),flip(a)]. 16168 a(x,x \ (y \ z),x) * K(x,z / y) = K(x,x \ (z / y)). [para(16166(a,2),9214(a,1,1))]. 16169 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y \ z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(7030(a,2),16168(a,1,1,2,2))]. 16170 R(T(x,K(y,z)),u,u \ K(w,v5)) * K(w,v5) = T((x * u) * (u \ K(w,v5)),K(y,z)). [para(27(a,2),15921(a,1,1))]. 16171 K(K(x * ((y * z) * R(u,y,z)),w) * v5,v6) = K(K(((u * y) * z) * x,w) * v5,v6). [hyper(15479,a,16055,a)]. 16172 T((x * y) * (y \ K(z,u)),K(w,v5)) = (T(x,K(w,v5)) * y) * (y \ K(z,u)). [hyper(663,a,16170,a),flip(a)]. 16173 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6941(a,1),14976(a,1,2,2))]. 16178 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [hyper(286,a,15589,a(flip),b,15631,a),flip(a)]. 16179 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(4885(a,2),16178(a,1,2,1,1,1))]. 16180 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [hyper(6901,a,16179,a)]. 16181 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5964(a,1),16180(a,1,2))]. 16182 (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). [para(7723(a,2),16181(a,1,1,1))]. 16183 ((K(x,L(y,z,(z * K(y,x)) \ (u \ 1))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). [hyper(62,a,14552,a,b,15680,a)]. 16184 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7660(a,1),15690(a,1,2,1))]. 16185 T(x \ K(x \ K(y,z),u),K(y,z) \ 1) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). [para(16029(a,1),15711(a,1,1,1,2))]. 16186 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,(T(w,u) * v5) \ 1)). [hyper(286,a,14261,a(flip),b,16076,a),flip(a)]. 16187 K(x,L(y,z,(((u * w) / u) * v5) \ 1)) = K(x,L(y,z,v5 \ (T(w,u) \ 1))). [hyper(286,a,14339,a(flip),b,16186,a),flip(a)]. 16188 K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,u \ (T(v5,w) \ 1))). [hyper(62,a,14339,a(flip),b,16187,a)]. 16189 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(7138(a,1),16173(a,1,2)),flip(a)]. 16190 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(286,a,9,a(flip),b,16189,a),flip(a)]. 16191 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(6492,a,16190,a),flip(a)]. 16193 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(16190(a,1),6492(a,1))]. 16194 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(33,a,15635,a,b,16182,a),flip(a)]. 16196 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [hyper(62,a,12155,a,b,16194,a)]. 16198 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [hyper(62,a,12355,a,b,16196,a)]. 16200 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [hyper(131,a,16198,a)]. 16201 K(x,K(y,z)) * (u \ K(x,y)) = u \ K(x,T(y,z)). [hyper(15049,a,16200,a)]. 16202 K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). [para(16200(a,1),15358(a,1,1))]. 16203 K(x * (y \ K(z,T(u,w))),v5) = K(x * (y \ K(z,u)),v5). [para(16200(a,1),15367(a,1,1,2))]. 16204 K(T(x,y) \ K(z,u),w) = K(x \ K(z,u),T(w,y)). [hyper(62,a,15629,a(flip),b,16202,a)]. 16205 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(16201(a,1),15404(a,1,2,2))]. 16207 K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(u * z,w)),v5). [para(12085(a,1),16203(a,1,1,2,2))]. 16208 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(15322(a,1),16184(a,1,2,1))]. 16209 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5865,a,16208,a),flip(a)]. 16210 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(62,a,15151,a(flip),b,16209,a)]. 16211 K(x,L(T(T(y,z),z * u),T(z,w),u)) = K(x,(u * (y * T(z,w))) / (u * T(z,w))). [hyper(62,a,15969,a(flip),b,15948,a)]. 16213 K(x,L(T(T(y,z),z * u),T(z,w),u)) != v5 | K(x,(u * T(z,w)) / (u * (y \ T(z,w)))) = v5. [para(16211(a,2),15648(a,1))]. 16214 K(L(x \ K(y,z),K(z,y) * x,u),T(w,u * x)) = K(u / (u * (K(z,y) * x)),w). [para(13570(a,1),15972(a,1,1,1))]. 16215 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(w / (w * (K(z,y) * x)),u). [hyper(11807,a,16214,a)]. 16216 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((K(z,y) * x) * w) \ w,u). [hyper(286,a,8464,a,b,16215,a),flip(a)]. 16218 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(23(a,1),15600(a,1,2,1,2))]. 16219 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(286,a,14215,a,b,15901,a),flip(a)]. 16220 K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,v6) * u) * w,v5)) = K(((T(y,z) * u) * w) * x,v5). [para(15912(a,2),15930(a,1,2))]. 16221 K(x * K(y,z),(K(z,T(y,u)) * x) \ w) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [hyper(16026,a,16034,a)]. 16223 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(8115(a,1),16218(a,1,2))]. 16224 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(14995(a,1),16219(a,2,3))]. 16225 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(15346(a,1),16223(a,1,2))]. 16226 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(62,a,10934,a(flip),b,16225,a)]. 16227 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(15917(a,2),16226(a,1,2))]. 16228 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(12094(a,1),16227(a,1,2,1))]. 16229 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13543(a,1),16228(a,1,2))]. 16230 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5839(a,1),16229(a,1,2))]. 16231 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8582,a,16230,a)]. 16232 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(62,a,16210,a(flip),b,16231,a)]. 16233 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5851,a,16232,a),flip(a)]. 16234 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(16233(a,2),13895(a,2,2)),flip(a)]. 16235 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(62,a,13767,a(flip),b,16234,a)]. 16236 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,15815,a(flip),b,16224,a)]. 16238 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),15951(a,1,2,2,1,1)),flip(a)]. 16239 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(15305,a,16238,a)]. 16241 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),16239(a,1,2,2,2))]. 16242 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(y * z,L(y,u,w))) * K(x,L(y,u,w)). [para(13505(a,1),15507(a,1,1,2)),flip(a)]. 16243 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,K(z,L(y,u,w))) * K(x,L(y,u,w)). [para(9286(a,1),16242(a,2,1))]. 16244 K(x,(y * z) \ (y * (L(y,u,w) * z))) = K(x,T(L(y,u,w),z)). [hyper(286,a,8091,a(flip),b,16243,a),flip(a)]. 16245 K(x,T(L(L(y,z,u),w,y),w)) = K(x,T(L(y,z,u),w)). [para(668(a,1),16244(a,1,2))]. 16246 K(x,T(L(y,z,u),y * w)) = K(x,T(L(y,z,u),w)). [para(850(a,1),16245(a,1,2))]. 16247 K(x,T(L(y,z,u),w / y)) = K(x,T(L(y,z,u),w)). [para(4201(a,1),16246(a,1,2)),flip(a)]. 16248 K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). [hyper(62,a,8227,a(flip),b,16247,a)]. 16249 K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). [hyper(62,a,14386,a(flip),b,16248,a),flip(a)]. 16250 K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). [hyper(62,a,9501,a(flip),b,16249,a),flip(a)]. 16251 T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). [para(12(a,1),16250(a,1,2,1)),flip(a)]. 16252 K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). [hyper(62,a,15568,a(flip),b,16251,a),flip(a)]. 16253 K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). [hyper(286,a,7515,a(flip),b,16252,a),flip(a)]. 16254 K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). [hyper(62,a,7678,a(flip),b,16253,a)]. 16255 K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). [hyper(62,a,11328,a(flip),b,16254,a)]. 16257 K(x,y / (((z / x) / z) * x)) = K(x,y). [hyper(62,a,11331,a(flip),b,16255,a)]. 16258 K(x,y / (x * ((z / x) / z))) = K(x,y). [hyper(10825,a,16257,a)]. 16259 L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). [hyper(62,a,14408,a,b,16258,a)]. 16260 L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). [hyper(14500,a,16259,a)]. 16261 K(x,y * ((z / x) / z)) = K(x,y / x). [hyper(15578,a,16260,a),flip(a)]. 16263 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). [hyper(286,a,6149,a(flip),b,15643,a),flip(a)]. 16264 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). [hyper(286,a,15646,a(flip),b,16263,a),flip(a)]. 16265 K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). [para(73(a,1),16264(a,1,2,2))]. 16266 K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). [hyper(62,a,5910,a(flip),b,16265,a)]. 16268 K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(7986,a,16266,a)]. 16269 K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(6487,a,16268,a)]. 16270 K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). [hyper(62,a,15644,a(flip),b,16269,a)]. 16271 K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). [hyper(6495,a,16270,a)]. 16272 K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). [hyper(8190,a,16271,a),flip(a)]. 16273 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). [para(3666(a,1),16271(a,2,1))]. 16275 K(x,T(((y / x) / y) * T(z,y),y)) != u | K(x,z * ((y / x) / y)) = u. [para(16272(a,1),7507(a,1))]. 16277 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = L(a(z,u,u \ 1),z,K(x,y)). [para(14357(a,1),15668(a,1,2))]. 16279 T(x * K(x / (y \ z),u),z \ y) \ T(x,T((y \ z) \ 1,u)) = K(u,x * ((y \ z) \ 1)). [para(13606(a,1),15706(a,1,1,1,2))]. 16280 T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x * ((y \ z) \ 1)). [para(9956(a,1),16279(a,1,2))]. 16281 T(x * K(x / (y \ z),u),z \ y) \ T(x,T(z \ y,u)) = K(u,x / (y \ z)). [hyper(286,a,13554,a(flip),b,16280,a),flip(a)]. 16282 T(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u))) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [hyper(6067,a,16281,a)]. 16283 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(11741(a,1),15947(a,1,1))]. 16284 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(13495(a,1),15339(a,1,1))]. 16285 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6782(a,1),16284(a,1,2))]. 16286 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(15130(a,1),16285(a,1,2))]. 16287 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(62,a,14023,a(flip),b,16286,a),flip(a)]. 16288 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(16287(a,1),14080(a,1,1))]. 16289 K(x,L(T(y,z),u,u \ (K(w,v5) * z))) * (z \ K(v5,w)) = ((z \ K(v5,w)) / (u \ 1)) * (u \ K(x,y)). [para(25(a,2),15793(a,1,1,2))]. 16290 T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),u) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,u))). [para(8115(a,1),15519(a,1,1))]. 16291 K(x,((y * (z * u)) / (y * u)) \ 1) = (u * y) \ ((u * K(x,z \ 1)) * y). [para(9022(a,1),15547(a,1,2,1,2)),flip(a)]. 16292 K(x,((y * (z * u)) / (y * u)) \ 1) = K(x,(y * ((z \ 1) * u)) / (y * u)). [hyper(286,a,15542,a,b,16291,a),flip(a)]. 16293 K(x,(y * ((z \ 1) * u)) / (y * u)) = K(x,(y * u) / (y * (z * u))). [hyper(7036,a,16292,a),flip(a)]. 16294 K(x,(y * ((z \ u) * w)) / (y * w)) = K(x,(y * w) / (y * ((u \ z) * w))). [hyper(62,a,15725,a(flip),b,16293,a)]. 16295 K(x,(y * z) / (y * ((u \ w) \ z))) = K(x,(y * z) / (y * ((w \ u) * z))). [hyper(15648,a,16294,a)]. 16296 K(x,(y * z) / (y * ((z \ u) * z))) = K(x,(u * y) \ (z * y)). [hyper(62,a,15683,a(flip),b,16295,a),flip(a)]. 16297 K(x,(y * z) / (y * ((z \ u) * z))) = R(T(K(x,z / u),z * y),z,y). [hyper(62,a,15541,a(flip),b,16295,a),flip(a)]. 16298 K(x,(y * z) / (y * ((z \ u) * z))) = R(K(x,T(z / u,z * y)),z,y). [para(7723(a,2),16297(a,2,1))]. 16299 K(x,(y * z) / (y * ((z \ u) * z))) = K(x,L(T(z / u,z * y),z,y)). [hyper(286,a,14374,a(flip),b,16298,a),flip(a)]. 16300 K(x,L(T(y / z,y * u),y,u)) = K(x,(z * u) \ (y * u)). [hyper(62,a,16296,a(flip),b,16299,a),flip(a)]. 16301 K(x,L(T(y / z,y * u),y,T(u,w))) = K(x,(z * T(u,w)) \ (y * T(u,w))). [hyper(62,a,15799,a(flip),b,16300,a)]. 16302 K(x,L(T(T(y,(z * y) * u),z),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,8589,a(flip),b,16300,a)]. 16303 K(x,L(T(T(y,z),(z * y) * u),z * y,u)) = K(x,(z * u) \ ((z * y) * u)). [para(23(a,1),16302(a,1,2,1))]. 16304 T(x \ K(x \ K(y,z),u),K(z,y)) \ T(x \ 1,T(K(y,z) \ 1,u)) = K(u,x \ (K(y,z) \ 1)). [para(4781(a,1),16185(a,1,1,2))]. 16305 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(y,x) \ 1,u)) = K(u,z \ (K(y,x) \ 1)). [para(15988(a,1),16304(a,1,1))]. 16306 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,T(K(x,y),u)) = K(u,z \ (K(y,x) \ 1)). [para(4781(a,1),16305(a,1,2,2,1))]. 16307 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ (K(y,x) \ 1)). [para(15053(a,1),16306(a,1,2))]. 16308 (K(x,y) * T(z \ K(y,x),u)) \ T(z \ 1,K(x,y)) = K(u,z \ K(x,y)). [para(4781(a,1),16307(a,2,2,2))]. 16310 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). [hyper(15454,a,16273,a)]. 16312 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). [hyper(62,a,9410,a(flip),b,16310,a),flip(a)]. 16314 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). [hyper(286,a,8926,a(flip),b,16312,a),flip(a)]. 16315 K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(8172,a,16314,a)]. 16316 K(x,T(y * ((z / x) / z),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(62,a,9025,a(flip),b,16315,a)]. 16317 K(x,T(((y / x) / y) * z,y)) = K(x,((y / x) / y) * T(z,y)). [hyper(62,a,15615,a,b,16316,a)]. 16318 K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(16275,a,16317,a),flip(a)]. 16319 K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). [para(3662(a,1),16318(a,2,2))]. 16320 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). [para(398(a,1),16319(a,1,2))]. 16321 K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). [hyper(286,a,12081,a(flip),b,16320,a)]. 16322 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). [hyper(12144,a,16321,a),flip(a)]. 16324 K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). [hyper(62,a,16261,a(flip),b,16322,a)]. 16326 K(x,T(T(y,z) / x,z)) = K(x,((z / x) / z) * y). [hyper(62,a,15533,a,b,16324,a)]. 16327 K(x,T(T(y / x,z),z)) = K(x,((z / x) / z) * y). [hyper(62,a,15723,a,b,16326,a)]. 16328 K(x,((y / x) / y) * z) = K(x,z / x). [hyper(8223,a,16327,a),flip(a)]. 16330 K(x / y,z / (x / y)) = K(x / y,(y / x) * z). [hyper(62,a,10837,a(flip),b,16328,a),flip(a)]. 16332 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). [para(16330(a,1),16157(a,1,2))]. 16333 K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). [hyper(62,a,16159,a(flip),b,16332,a),flip(a)]. 16334 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(16333(a,1),9002(a,1,2))]. 16335 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(62,a,10104,a,b,16334,a)]. 16336 T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(62,a,15719,a(flip),b,16290,a)]. 16337 T(T(x,K(y,(y \ 1) \ (y \ z))),y \ z) = T(x,y \ (1 * T(1 \ z,y))). [para(10(a,1),16336(a,1,2))]. 16338 T(T(x,y \ z),K(y,(y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). [hyper(5979,a,16337,a)]. 16340 T(x,y \ (1 * T(1 \ z,y))) = T(x,T(y \ z,y)). [hyper(12203,a,16338,a),flip(a)]. 16341 T(x,y \ (1 * T(1 \ z,y))) = T(x,z / y). [hyper(286,a,8318,a(flip),b,16340,a),flip(a)]. 16342 T(x,y \ (1 * T(z,y))) = T(x,z / y). [para(64(a,1),16341(a,1,2,2,2,1))]. 16343 T(x,y \ T(z,y)) = T(x,z / y). [para(7(a,1),16342(a,1,2,2))]. 16344 T(x,T(y,z) \ z) = T(x,z / y). [hyper(62,a,15288,a,b,16343,a)]. 16345 T(x,T(y,z) \ z) = T(x,z * (y \ 1)). [hyper(286,a,13719,a,b,16344,a),flip(a)]. 16346 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,(x \ 1) * ((y \ 1) \ z)). [para(13680(a,1),15712(a,1,2))]. 16347 T(x \ K(x \ ((y \ 1) \ z),u),y * z) \ T(x \ 1,T(y * z,u)) = K(u,x \ ((y \ 1) \ z)). [hyper(286,a,13501,a(flip),b,16346,a),flip(a)]. 16348 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,((y \ 1) * x) \ z). [hyper(286,a,10568,a,b,16347,a),flip(a)]. 16349 T(x \ K(x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). [para(9080(a,1),16347(a,1,1,2))]. 16350 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,((y \ 1) * x) \ z). [para(7617(a,1),16348(a,1,2))]. 16351 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). [hyper(286,a,13553,a(flip),b,16350,a),flip(a)]. 16352 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,y * (x \ z)). [para(13532(a,1),16351(a,1,1,1,2))]. 16353 K(x,T(y,K(z,u * w)) * (K((u * T(w,v5)) * z,y) * v6)) = K(x,T(y,z * (u * T(w,v5))) * v6). [para(15052(a,1),15965(a,1,2,2,1))]. 16355 K(x,L(y / T(z * K(u,K(w,v5)),v6),T(z / K(u,K(w,v5)),v6),K(u,K(w,v5)))) = K(x,(y * K(u,K(w,v5))) / (T(K(u,K(w,v5)) \ z,v6) * K(u,K(w,v5)))). [para(8107(a,1),15466(a,1,2,1,2,1))]. 16356 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),16288(a,1,1,1))]. 16357 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),16356(a,1,1,3)),flip(a)]. 16358 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6718(a,1),16357(a,2,2))]. 16359 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(9(a,1),16358(a,2,2,2))]. 16360 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4772(a,1),16359(a,2,2))]. 16361 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(286,a,9191,a(flip),b,16360,a),flip(a)]. 16362 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6992,a,16361,a)]. 16363 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),16362(a,1,2))]. 16364 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(13768,a,16363,a)]. 16365 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(62,a,13645,a(flip),b,16364,a)]. 16367 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),16365(a,2,1))]. 16368 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(62,a,11664,a(flip),b,16367,a),flip(a)]. 16370 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(62,a,5812,a,b,16368,a)]. 16371 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(62,a,10692,a(flip),b,16370,a)]. 16373 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),16371(a,1,1,2,1)),flip(a)]. 16374 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(286,a,8936,a(flip),b,16373,a),flip(a)]. 16375 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(16374(a,1),271(a,1,2))]. 16376 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(62,a,10685,a,b,16375,a)]. 16377 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(16376(a,1),16191(a,1,1,1,2,1,2))]. 16378 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(16335(a,1),16377(a,1,1,1))]. 16379 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(16193,a,16378,a),flip(a)]. 16380 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(286,a,15760,a(flip),b,16379,a),flip(a)]. 16381 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(62,a,15986,a(flip),b,16380,a)]. 16382 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(14981,a,16381,a),flip(a)]. 16383 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(16382(a,1),15987(a,2,1))]. 16384 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(286,a,4834,a(flip),b,16383,a),flip(a)]. 16385 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(16384(a,1),4129(a,1,1))]. 16386 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,4129,a(flip),b,16385,a),flip(a)]. 16387 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(16386(a,1),14658(a,1,1,1)),flip(a)]. 16388 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(286,a,14658,a(flip),b,16387,a),flip(a)]. 16389 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(286,a,7777,a(flip),b,16388,a),flip(a)]. 16390 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7981,a,16389,a)]. 16391 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(62,a,15984,a(flip),b,16390,a)]. 16392 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(62,a,15985,a(flip),b,16391,a),flip(a)]. 16393 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(62,a,9533,a(flip),b,16392,a)]. 16394 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(107(a,1),16393(a,1,2,2,1,1)),flip(a)]. 16395 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(15782,a,16394,a)]. 16398 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(286,a,8043,a,b,16395,a)]. 16399 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(33,a,15789,a,b,16398,a)]. 16400 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8434,a,16399,a)]. 16401 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(62,a,15855,a(flip),b,16399,a),flip(a)]. 16402 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(62,a,15816,a(flip),b,16399,a),flip(a)]. 16403 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(16399(a,1),15886(a,1,1))]. 16404 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15208,a,16402,a)]. 16405 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),16404(a,1,2,2,2,2)),flip(a)]. 16406 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8744,a,16403,a),flip(a)]. 16407 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(62,a,15933,a(flip),b,16406,a),flip(a)]. 16408 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(76(a,1),16406(a,1,2,1,2)),flip(a)]. 16409 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15209,a,16408,a)]. 16410 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),16407(a,2,2,2,2))]. 16411 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(286,a,15897,a,b,16410,a),flip(a)]. 16412 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(16410(a,2),15899(a,1))]. 16413 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(62,a,16409,a(flip),b,16411,a)]. 16414 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13605(a,1),16411(a,1,2))]. 16415 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(16411(a,2),15899(a,1))]. 16417 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(62,a,16414,a(flip),b,16413,a),flip(a)]. 16418 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3685(a,2),16413(a,2,2,2,1))]. 16419 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13604(a,1),16418(a,1,2))]. 16420 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(16412,a,16419,a),flip(a)]. 16422 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,16400,a(flip),b,16420,a)]. 16423 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15939,a,16422,a)]. 16424 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,15955,a,b,16423,a)]. 16426 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(62,a,15953,a(flip),b,16423,a),flip(a)]. 16427 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15956,a,16424,a)]. 16428 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15902,a,16426,a)]. 16429 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(62,a,16417,a,b,16426,a)]. 16430 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,15004,a(flip),b,16426,a),flip(a)]. 16431 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14496,a,b,16428,a)]. 16432 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11538(a,1),16428(a,1,2))]. 16433 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14041(a,1),16428(a,1,2,2,2,1)),flip(a)]. 16434 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15902,a,16429,a)]. 16435 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,14594,a(flip),b,16431,a)]. 16436 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15351(a,1),16432(a,1,2)),flip(a)]. 16437 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(286,a,16434,a(flip),b,16433,a),flip(a)]. 16439 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(62,a,16427,a(flip),b,16437,a)]. 16440 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15899,a,16439,a)]. 16442 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(62,a,15931,a(flip),b,16439,a)]. 16443 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8434,a,16442,a)]. 16444 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(108(a,1),16442(a,1,2,2,2)),flip(a)]. 16445 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,16236,a(flip),b,16443,a),flip(a)]. 16446 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15194,a,16445,a)]. 16448 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(286,a,14352,a,b,16445,a),flip(a)]. 16449 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(16445(a,1),8058(a,1))]. 16450 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),16446(a,1,2,2,2,2))]. 16451 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15939,a,16444,a),flip(a)]. 16452 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(15971,a,16451,a)]. 16454 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(15695,a,16452,a),flip(a)]. 16455 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),16448(a,2,2))]. 16456 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(286,a,8396,a(flip),b,16436,a),flip(a)]. 16457 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(62,a,16404,a(flip),b,16456,a),flip(a)]. 16459 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(286,a,16400,a(flip),b,16457,a),flip(a)]. 16460 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15935,a,16459,a)]. 16461 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(237(a,1),16459(a,1,2,2,2))]. 16462 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(286,a,15808,a(flip),b,16461,a),flip(a)]. 16464 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(62,a,16241,a(flip),b,16462,a),flip(a)]. 16466 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(104(a,1),16464(a,1,2,2)),flip(a)]. 16467 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(15905,a,16466,a)]. 16468 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15904,a,16467,a),flip(a)]. 16469 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15197,a,16467,a)]. 16470 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15904,a,16468,a),flip(a)]. 16472 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15935,a,16470,a)]. 16473 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,16430,a(flip),b,16470,a),flip(a)]. 16474 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(62,a,15950,a(flip),b,16470,a),flip(a)]. 16475 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(62,a,16460,a(flip),b,16473,a)]. 16476 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(286,a,15879,a(flip),b,16474,a),flip(a)]. 16477 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(286,a,11092,a(flip),b,16469,a),flip(a)]. 16478 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(286,a,16440,a(flip),b,16477,a),flip(a)]. 16479 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8434,a,16478,a)]. 16480 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(14163(a,1),16479(a,1,2)),flip(a)]. 16481 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6822(a,1),16476(a,1,2,2,2))]. 16482 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15938,a,16481,a)]. 16484 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(62,a,16482,a(flip),b,16475,a)]. 16485 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,16454,a(flip),b,16484,a),flip(a)]. 16486 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,14509,a(flip),b,16485,a)]. 16487 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(286,a,14286,a,b,16480,a),flip(a)]. 16488 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(15262,a,15934,a),flip(a)]. 16490 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(14364(a,1),16488(a,2,2))]. 16491 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(286,a,15980,a(flip),b,16490,a),flip(a)]. 16492 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(15958,a,16491,a)]. 16495 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,15900,a(flip),b,16492,a)]. 16496 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(62,a,15836,a(flip),b,16495,a),flip(a)]. 16497 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11809,a,16496,a)]. 16499 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13621(a,1),16496(a,1,2,2,2))]. 16500 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(286,a,14283,a,b,16497,a),flip(a)]. 16501 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(286,a,16486,a(flip),b,16499,a),flip(a)]. 16502 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(16501(a,1),16283(a,1,1)),flip(a)]. 16503 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14284,a,16500,a)]. 16504 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4609(a,1),16503(a,1,2))]. 16505 a(x,y \ z,K(u,K(w,v5))) = a(x,z / y,K(u,K(w,v5))). [para(4699(a,1),16503(a,1,2)),flip(a)]. 16506 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(62,a,11850,a(flip),b,16504,a),flip(a)]. 16507 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8060(a,2),16506(a,2,3))]. 16508 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11102(a,1),16507(a,2,3))]. 16509 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(10(a,1),16508(a,1,3,2,2))]. 16510 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8060(a,1),16509(a,1,3))]. 16511 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(10(a,1),16510(a,2,3,2,2))]. 16512 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8060(a,1),16511(a,2,3))]. 16513 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(76(a,1),16512(a,1,2,2))]. 16514 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8060(a,2),16513(a,1,3))]. 16515 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8060(a,2),16514(a,2,3))]. 16516 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(62,a,14257,a,b,16515,a)]. 16517 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8077(a,1),16516(a,2,3))]. 16518 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(8076(a,1),16502(a,2,2))]. 16520 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(286,a,12263,a(flip),b,16518,a),flip(a)]. 16521 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10251(a,1),16520(a,2,1))]. 16522 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(286,a,14488,a(flip),b,16521,a),flip(a)]. 16523 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15946(a,1),16522(a,1,2))]. 16524 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8076(a,1),16523(a,1,3))]. 16525 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11856,a,16524,a)]. 16526 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(159(a,1),16525(a,1,2,1))]. 16527 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(62,a,16487,a,b,16526,a)]. 16528 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(62,a,16517,a(flip),b,16526,a)]. 16529 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(286,a,14258,a,b,16528,a),flip(a)]. 16530 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8060(a,1),16527(a,2,3))]. 16531 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(6093(a,1),16530(a,1,2,2,2,1))]. 16532 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(4884(a,1),16531(a,1,2,2,2,1,2))]. 16533 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(14557(a,1),16532(a,1,2))]. 16534 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(7107(a,1),16533(a,1,2,2,1))]. 16535 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,16472,a(flip),b,16534,a)]. 16536 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15889,a,16535,a)]. 16538 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6914(a,1),16536(a,2,3,2))]. 16539 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15803(a,1),16538(a,2,3))]. 16540 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(62,a,16450,a(flip),b,16539,a)]. 16542 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(73(a,1),16540(a,1,3,2,1))]. 16543 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(16405(a,1),16542(a,1,3))]. 16544 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8056(a,1),16543(a,1,3))]. 16545 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(16154(a,1),16544(a,1,3))]. 16546 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(62,a,14350,a(flip),b,16545,a),flip(a)]. 16547 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8077(a,1),16546(a,1,3))]. 16548 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(62,a,16505,a(flip),b,16547,a)]. 16549 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(62,a,16529,a(flip),b,16548,a),flip(a)]. 16550 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8056(a,1),16549(a,2,3))]. 16551 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(16449,a,16550,a)]. 16552 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8060(a,2),16551(a,2,3))]. 16553 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(62,a,16455,a(flip),b,16552,a)]. 16554 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8397(a,1),16553(a,1,3))]. 16555 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8077(a,1),16554(a,2,3))]. 16556 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(62,a,16550,a(flip),b,16555,a),flip(a)]. 16557 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(16556(a,1),14268(a,1,1))]. 16558 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8056(a,1),16557(a,1,2))]. 16559 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14525,a,16558,a),flip(a)]. 16560 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8743,a,16559,a)]. 16561 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(286,a,16435,a(flip),b,16560,a),flip(a)]. 16562 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(660(a,1),16560(a,1,2,2)),flip(a)]. 16563 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(7178(a,1),16560(a,1,2)),flip(a)]. 16564 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(16415,a,16561,a)]. 16565 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [hyper(286,a,8396,a(flip),b,16563,a),flip(a)]. 16566 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(286,a,14992,a(flip),b,16562,a),flip(a)]. 16567 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(286,a,16564,a(flip),b,16566,a),flip(a)]. 16568 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(286,a,16401,a(flip),b,16567,a),flip(a)]. 16571 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(8225(a,1),16568(a,2,2))]. 16573 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(286,a,15016,a(flip),b,16571,a),flip(a)]. 16575 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,14594,a(flip),b,16573,a)]. 16577 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,16565,a(flip),b,16575,a),flip(a)]. 16580 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(9774(a,1),16577(a,1,2)),flip(a)]. 16582 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(286,a,8396,a(flip),b,16580,a),flip(a)]. 16583 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(286,a,8382,a(flip),b,16580,a),flip(a)]. 16584 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(16580(a,2),8408(a,1))]. 16587 K(x,L(K(y,z),u,w)) = K(x,K(y,z)). [hyper(11802,a,16582,a)]. 16594 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(62,a,8601,a,b,16582,a)]. 16595 K(x,K(y,(z * u) \ w)) = K(x,K(y,u \ (z \ w))). [para(268(a,1),16582(a,1,2,2))]. 16596 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(445(a,1),16582(a,1,2,2)),flip(a)]. 16597 T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. [para(16582(a,1),8062(a,1,1)),flip(a)]. 16600 K(x,K((y \ z) \ u,w)) = K(x,K(z \ (y * u),w)). [para(11750(a,1),16582(a,1,2)),flip(a)]. 16601 K(x,K((y * (z \ 1)) * u,w)) = K(x,K(y * (z \ u),w)). [para(13858(a,1),16582(a,1,2))]. 16602 K(x,K((((y \ 1) / z) * u) * y,w)) = K(x,K(z \ u,T(w,y))). [para(13603(a,1),16582(a,1,2))]. 16606 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(16583(a,1),8602(a,1,2))]. 16607 K(L(x,y,z) * (z * y),u) * K(x,K(u,z * y)) = K(z * (y * x),u). [para(16583(a,1),12213(a,1,2))]. 16612 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(16587(a,1),14399(a,1,1)),flip(a)]. 16615 a(x,y,K(z,K(u,w))) = 1. [hyper(52,a,16594,a)]. 16616 a(K(x,y),z,K(u,w)) = 1. [hyper(14238,a,16615,a)]. 16618 a(K(x,K(y,z)),u,w) = 1. [hyper(62,a,14176,a,b,16615,a)]. 16619 K(x,K(y,a(z,u,w))) = 1. [hyper(62,a,14286,a(flip),b,16615,a)]. 16623 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(51,a,16616,a)]. 16627 L(x,y,K(z,K(u,w))) = x. [hyper(51,a,16618,a)]. 16635 T(x,K(y,a(z,u,w))) = x. [hyper(55,a,16619,a)]. 16637 K(x,K(y,L(z,u,w) \ z)) = 1. [para(13334(a,2),16619(a,1,2))]. 16642 L(x,y,T(K(z,u),w)) = L(x,y,K(z,u)). [hyper(7544,a,16627,a),flip(a)]. 16643 (K(K(x,y),z) * u) \ w = u \ (K(z,K(x,y)) * w). [hyper(7467,a,16627,a),flip(a)]. 16644 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(7354,a,16627,a)]. 16645 (x * K(y,T(z,u))) \ (K(y,K(z,u)) * (x * (K(y,z) * w))) = L(w,K(y,z),x). [hyper(62,a,15337,a,b,16627,a)]. 16646 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(16627(a,1),49(a,2))]. 16647 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(16627(a,1),495(a,1,2))]. 16648 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16627(a,1),429(a,1,2,2,1))]. 16649 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(11147,a,16635,a)]. 16650 x * (y * K(x,a(z,u,w))) = T(x,a(z,u,w)) * y. [hyper(8634,a,16635,a),flip(a)]. 16651 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8469,a,16635,a)]. 16652 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(8439,a,16635,a)]. 16654 T(x,K(y,a(z,u,w))) != v5 | x = v5. [para(16635(a,1),48(a,2))]. 16656 T(x,a(y,z,K(u,w))) = x. [para(13475(a,2),16635(a,1,2))]. 16659 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(7640,a,16656,a),flip(a)]. 16661 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(53,a,16656,a)]. 16662 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(16656(a,1),262(a,1,2))]. 16663 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(11808,a,16623,a)]. 16664 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11777,a,16623,a)]. 16665 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(62,a,7074,a(flip),b,16623,a),flip(a)]. 16667 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(16623(a,1),92(a,1,2))]. 16670 K(x,(L(y,z,u) \ y) \ w) * 1 = K(x,w / (L(y,z,u) \ y)). [para(16637(a,1),8717(a,1,2))]. 16671 K(((x \ y) * x) / (a(z,u,w) * x),v5) = K((x * a(z,u,w)) \ y,v5). [hyper(62,a,14429,a(flip),b,16651,a)]. 16673 K(x,(a(y,z,u) \ w) * K(v5,a(y,z,u) \ 1)) = K(x,w / T(a(y,z,u),v5 \ 1)). [para(9999(a,1),16651(a,1,2))]. 16674 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(16651(a,1),12142(a,1))]. 16675 (a(x,y,z) \ u) * K(u / a(x,y,z),w) = T(a(x,y,z) \ u,w). [hyper(62,a,8196,a,b,16652,a)]. 16676 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(15763,a,16663,a)]. 16678 K((K(x,y) * z) / (K(x,y) * u),w) = K(z / u,w). [hyper(62,a,15970,a(flip),b,16663,a)]. 16680 K(L(x,y,a(z,u,K(w,v5))),v6) = K(x,v6). [para(13302(a,1),16663(a,1,1,3))]. 16682 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5856(a,1),16664(a,1,2))]. 16683 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(7353(a,1),16664(a,1,2))]. 16684 K(x,L(y,z,T(u,w) \ 1)) = K(x,L(y,z,u \ 1)). [para(11309(a,1),16664(a,1,2))]. 16685 K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). [para(13302(a,1),16664(a,1,2,3))]. 16686 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(62,a,13379,a(flip),b,16644,a),flip(a)]. 16687 L(x,y,z \ K(u,w)) = L(x,y,K(u,w) / z). [para(12182(a,1),16644(a,1,3))]. 16688 L(x,y,K(z,u \ w)) = L(x,y,K(z,w / u)). [para(6767(a,1),16642(a,1,3))]. 16689 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(6777(a,1),16642(a,1,3))]. 16690 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(286,a,14187,a,b,16649,a),flip(a)]. 16693 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(16661(a,1),262(a,1,2))]. 16694 K((x * a(y,z,K(u,w))) / v5,v6) = K(x / (v5 * a(w,z,K(u,y))),v6). [hyper(62,a,14431,a(flip),b,16680,a),flip(a)]. 16695 K(x,L(T(y / z,y * u),y,u)) = K(x,(z * T(u,w)) \ (y * T(u,w))). [hyper(62,a,16301,a(flip),b,16683,a),flip(a)]. 16696 K(x,L(y,z,L(T(u,w),v5,v6))) = K(x,L(y,z,L(u,v5,v6))). [para(25(a,2),16683(a,1,2,3))]. 16697 K(x,L(L(y,z,T(u,w)),v5,v6)) = K(x,L(L(y,v5,v6),z,u)). [para(30(a,1),16683(a,1,2))]. 16698 K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). [para(110(a,1),16683(a,1,2,3))]. 16699 K(x,L(y,z,(u \ w) \ w)) = K(x,L(y,z,u)). [para(109(a,1),16683(a,1,2,3))]. 16700 K(L(x,y,T(z,u)),w) * K(w,L(L(x,y,T(z,u)),v5,v6)) = a(w,v5,K(v6,L(x,y,z))). [para(16683(a,1),14184(a,2,3))]. 16701 K(x,y) * ((z * u) * a(K(x,y),z,u)) = (K(x,y) * z) * u. [para(16685(a,1),14655(a,1,1))]. 16702 (x * K(y,z)) \ (K(y,T(z,x)) * u) = L(x \ u,x,K(y,z)). [hyper(62,a,8205,a(flip),b,16689,a)]. 16704 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(286,a,8062,a(flip),b,16597,a),flip(a)]. 16705 T(x * K(y,L(z,u,w)),K(y,z)) = K(y,L(z,u,w)) * x. [hyper(8289,a,16704,a),flip(a)]. 16707 K(x,L(y,z,u)) * T(w,K(x,y)) = w * K(x,L(y,z,u)). [para(16704(a,1),108(a,1,2))]. 16708 T(x,K(L(y,z,u),w)) = T(x,K(y,w)). [para(11737(a,1),16704(a,1,2))]. 16710 T(x,K(y,(z \ 1) \ ((u \ 1) \ w))) = T(x,K(y,(z * u) * w)). [para(14620(a,1),16704(a,1,2))]. 16711 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(16704(a,1),14707(a,1,2,1,2))]. 16712 T(T(x,y),K(z,y)) = T(x,T(y,L(z,u,w))). [hyper(8441,a,16708,a),flip(a)]. 16715 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [hyper(8441,a,16712,a),flip(a)]. 16716 T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. [para(16715(a,1),7802(a,1,1))]. 16717 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(7848,a,16716,a),flip(a)]. 16718 K(x,T(y,(z * u) \ w)) = K(x,T(y,(w / u) / z)). [hyper(15311,a,16717,a)]. 16719 K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). [para(445(a,1),16717(a,1,2,2)),flip(a)]. 16720 K(x,T(L(y,z,u) \ w,y)) != v5 | K(x,w / L(y,z,u)) = v5. [para(16717(a,1),8246(a,1))]. 16721 K(x,T(y,z)) / L(z,u,w) != v5 | L(z,u,w) \ K(x,y) = v5. [para(16717(a,1),12184(a,1,1))]. 16722 K(x,K(y,(z * u) \ (z * w))) != v5 | K(x,K(y,u \ w)) = v5. [para(94(a,1),16584(a,1,2,2))]. 16723 K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,u \ (z \ w))) = v5. [para(268(a,1),16584(a,1,2,2))]. 16724 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8601(a,2),16584(a,1))]. 16726 a(x * (y * z),y,K(z,x)) * a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(286,a,14309,a(flip),b,16659,a),flip(a)]. 16727 a(x,y,K(z,u)) * (w * z) = w * (z * a(x,y,K(z,u))). [hyper(286,a,12579,a(flip),b,16659,a),flip(a)]. 16729 (x \ y) * a(z,u,K(x,w)) = T(x,a(w,u,z)) \ y. [hyper(62,a,14291,a(flip),b,16659,a),flip(a)]. 16730 (a(x,y,K(z,u)) * w) \ w = a(u,y,K(z,x)). [para(16659(a,2),14186(a,1,1))]. 16731 L(x,y,z * K(u,w \ 1)) = L(x,y,K(w,u) * z). [hyper(62,a,13443,a(flip),b,16686,a),flip(a)]. 16732 L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) = z \ ((K(x,y) * z) * u). [hyper(62,a,11509,a(flip),b,16686,a),flip(a)]. 16733 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [para(16686(a,2),6904(a,1,2))]. 16734 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(286,a,6574,a(flip),b,16688,a),flip(a)]. 16735 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,(y * z) \ (x \ 1))). [hyper(286,a,13988,a,b,16698,a)]. 16736 K(x / y,L(T(z,x * (u / y)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). [hyper(286,a,16061,a(flip),b,16698,a),flip(a)]. 16737 K(x,L(y,z * x,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(286,a,11751,a(flip),b,16698,a),flip(a)]. 16738 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). [para(6395(a,1),16698(a,2,2,3))]. 16739 K(x,L(T(y,z),u,(u * y) \ w)) * z = z * K(x,((w / (u * y)) * u) \ w). [para(16698(a,2),8588(a,1,1))]. 16740 x * K(y,L(z,u,(u * z) \ w)) = x * K(y,((w / (u * z)) * u) \ w). [para(16698(a,2),10342(a,1,2))]. 16745 K(x,K(y,z \ (u \ y))) = K(x,K(y,u * z)). [hyper(8696,a,16595,a),flip(a)]. 16746 K(x,K(y,z \ (u \ w))) = K(x,K(y,w \ (z * u))). [hyper(62,a,15866,a(flip),b,16595,a),flip(a)]. 16747 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(w * (T(u,w) * z)) \ v5)). [para(437(a,1),16595(a,1,2,2,1)),flip(a)]. 16748 K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,(z \ (u \ y)) \ y). [para(16745(a,1),8730(a,1,2))]. 16750 K(x,K(y,(z / u) \ w)) = K(x,K(y,z \ (u * w))). [hyper(62,a,15826,a(flip),b,16596,a)]. 16751 K(x \ (y \ z),K(u,w)) = K(u,K(z \ (y * x),w)). [hyper(8415,a,16600,a)]. 16752 x * (T(y,z) * K(u,K(x * y,w))) = T(x * T(y,z),K(u,w)). [hyper(15867,a,16606,a),flip(a)]. 16753 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(15049,a,16606,a)]. 16757 K(x,K(y,z)) * ((x * u) * w) = (T(x,K(y,z)) * u) * w. [para(4675(a,1),16612(a,1,1)),flip(a)]. 16758 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(15033(a,1),16612(a,1,1))]. 16759 T(K(x,K(y,z)) * u,w) * v5 = K(x,K(y,z)) * (T(u,w) * v5). [para(15316(a,2),16612(a,1,1))]. 16760 K(x,K(y,z)) * ((u * K(x,y)) * w) = (u * K(x,T(y,z))) * w. [para(15322(a,1),16612(a,1,1)),flip(a)]. 16761 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [para(8076(a,1),16643(a,1,1,1))]. 16762 (x * K(y,K(z,u))) / w = K(y,K(z,u)) * (x / w). [para(15033(a,1),16647(a,1,1))]. 16763 x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. [para(14187(a,2),16650(a,1,2,2))]. 16764 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(15426,a,16665,a)]. 16766 (x \ K(y,z)) \ K(u,w) = K(z,y) * (x * K(u,w)). [hyper(13736,a,16667,a)]. 16767 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(286,a,7738,a(flip),b,16667,a),flip(a)]. 16770 (K(x,y) * (z \ 1)) * K(u,w) = K(x,y) * (z \ K(u,w)). [para(13512(a,1),16667(a,2,2))]. 16771 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). [para(15678(a,1),16667(a,1,1)),flip(a)]. 16773 K((K(x,y) * z) \ u,T(w,z)) = K((K(v5,v6) * u) / (K(v5,v6) * (K(x,y) * z)),w). [hyper(15780,a,16678,a(flip))]. 16774 K(x \ 1,y \ (K(z,u) * w)) = K(x,((K(u,z) * y) \ w) \ 1). [hyper(6476,a,16682,a),flip(a)]. 16775 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(286,a,15403,a(flip),b,16682,a),flip(a)]. 16776 K(x * K(y,z),x \ (K(T(y,u),z) * w)) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [hyper(62,a,16221,a(flip),b,16682,a),flip(a)]. 16777 K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (T(y,z) \ w)). [hyper(62,a,14605,a(flip),b,16684,a),flip(a)]. 16778 K(x,L(y,z,((u * w) / u) \ 1)) = K(x,L(y,z,w \ 1)). [para(203(a,1),16684(a,1,2,3,1)),flip(a)]. 16779 K((x / T(y,z)) * u,L(w,u,y \ 1)) != v5 | K(x * ((T(y,z) \ 1) * u),w) = v5. [para(16684(a,1),13913(a,1))]. 16780 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). [hyper(286,a,14974,a,b,16718,a),flip(a)]. 16781 K(x,T(y,z \ (u * (w \ 1)))) = K(x,T(y,(u \ z) * w)). [hyper(62,a,14987,a(flip),b,16719,a),flip(a)]. 16782 L(x,y,(K(z,u) * w) * K(v5,w \ 1)) = L(x,y,K(z,u) * T(w,v5)). [para(15091(a,1),16731(a,2,3))]. 16783 K(x,K(y,z \ (K(u,w) * v5))) = K(x,K(y,v5 \ z)). [hyper(15843,a,16746,a),flip(a)]. 16784 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (u \ w))). [hyper(286,a,8399,a,b,16746,a)]. 16785 K(x,K(y,z \ ((u \ w) * v5))) = K(x,K(y,w \ (u * (v5 \ z)))). [hyper(62,a,16596,a(flip),b,16746,a),flip(a)]. 16786 K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,((u \ z) \ 1) \ w)). [para(6395(a,1),16750(a,1,2,2,1)),flip(a)]. 16787 K(x,K(y \ (z \ u),w * v5)) = K(x,K(u \ (z * y),v5 * w)). [hyper(15194,a,16751,a)]. 16788 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(546,a,16753,a)]. 16789 L(T(x,K(y,K(z,u))) \ (w * v5),T(x,K(y,K(z,u))),K(y,K(z,u))) = (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))). [para(16753(a,1),449(a,2,2))]. 16790 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) != v6 | a(x,w,v5 * K(y,K(z,u))) = v6. [para(16753(a,2),655(a,1,1,2))]. 16791 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(15033(a,2),16753(a,2,2))]. 16792 K(x,K(y,z)) * (u * (K(x,y) * w)) = u * (K(x,T(y,z)) * w). [para(15198(a,1),16753(a,2,2))]. 16793 K((x * K(y,K(z,u))) * w,v5) = K(x * w,v5). [para(16758(a,2),15359(a,1,1))]. 16794 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(16758(a,2),15390(a,1,2))]. 16795 K((x * T(y,K(z,u))) * w,v5) = K((x * y) * w,v5). [para(1271(a,1),16793(a,1,1,1))]. 16796 K((x * (y * T(z,K(u,w)))) * v5,v6) = K((x * (y * z)) * v5,v6). [para(7483(a,1),16793(a,1,1,1))]. 16797 K((x * (K(y,z) * u)) * w,v5) = K((x * (u * K(y,z))) * w,v5). [para(10593(a,1),16793(a,1,1,1)),flip(a)]. 16798 K((T(x,K(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). [para(15199(a,1),16793(a,1,1,1))]. 16799 K(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). [para(8278(a,1),16794(a,1,2,1)),flip(a)]. 16800 (K(x,K(y,z)) * u) \ (x * w) = u \ (T(x,K(y,z)) * w). [para(4675(a,1),16761(a,2,2))]. 16801 R(x / (K(y,z) * u),K(y,z) * u,K(y,K(z,w))) = K(y,K(z,w)) * (x / (K(y,T(z,w)) * u)). [hyper(15321,a,16762,a)]. 16802 (x * K(y,K(z,u))) / w = (x / w) * K(y,K(z,u)). [hyper(286,a,15033,a(flip),b,16762,a),flip(a)]. 16803 K((x * K(y,z)) \ u,w) = K(x \ (u * K(z,y)),w). [hyper(286,a,15369,a(flip),b,16764,a),flip(a)]. 16805 K(x,y \ (z * K(u,w))) != v5 | K(x,(y * K(w,u)) \ z) = v5. [para(16775(a,1),15421(a,1))]. 16807 K(x,K(y,z \ (K(u,w) * v5))) = K(x,K(y,z \ v5)). [hyper(286,a,8399,a,b,16783,a),flip(a)]. 16808 K(x,K(y,z \ u)) * K(x,y * (u \ (K(w,v5) * z))) = K(x,(u \ (K(w,v5) * z)) * y). [para(16783(a,1),12190(a,1,1))]. 16809 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(62,a,16595,a(flip),b,16784,a)]. 16810 x * K(y,K(x,(z * u) \ w)) = T(x,K(y,z \ (u \ w))). [para(16784(a,2),8061(a,1,2))]. 16811 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,w \ (z * u))) = v5. [para(16784(a,1),8422(a,1))]. 16812 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(62,a,16761,a,b,16788,a)]. 16814 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(62,a,16758,a,b,16791,a)]. 16816 K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. [para(16791(a,1),15391(a,1,2))]. 16817 K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,v5) = v6. [para(16791(a,1),15412(a,1,1))]. 16818 K((x * T(y,T(z,u))) * w,v5) = K((x * T(y,z)) * w,v5). [para(7613(a,1),16795(a,1,1,1,2))]. 16819 K(((T(x,T(y,z)) * y) \ u) * w,v5) = K(((T(x,y) * y) \ u) * w,v5). [para(7098(a,1),16798(a,1,1,1,1))]. 16820 K((T(x,T(y,z)) \ u) * w,v5) = K((T(x,y) \ u) * w,v5). [para(7613(a,1),16798(a,1,1,1,1))]. 16821 K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(y,z * (w / (u \ 1))) * v5). [hyper(286,a,14845,a(flip),b,16799,a),flip(a)]. 16823 K(x,K(y,z \ (u \ w))) = K(x,K(y,z \ (w / u))). [para(4699(a,1),16807(a,1,2,2,2)),flip(a)]. 16824 K(x,K(y,z \ (T(u,w) \ v5))) = K(x,K(y,z \ (u \ v5))). [para(5715(a,1),16807(a,1,2,2,2)),flip(a)]. 16825 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(15033(a,1),16812(a,1,1))]. 16826 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(16791(a,1),16812(a,1,1))]. 16827 R(x,K(y,K(z,u)),w) = x. [hyper(4528,a,16814,a)]. 16828 L(x,K(y,K(z,u)),w) = x. [hyper(435,a,16814,a)]. 16829 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,w,x * K(y,K(z,u))). [para(16814(a,1),18(a,2,1)),flip(a)]. 16830 (x \ 1) * (K(y,K(z,u)) * w) = (x \ K(y,K(z,u))) * w. [para(13512(a,1),16814(a,1,1)),flip(a)]. 16831 (x * (y * K(z,K(u,w)))) * v5 = (x * y) * (K(z,K(u,w)) * v5). [para(16606(a,1),16814(a,1,1))]. 16832 (x / (y * z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) * z). [hyper(62,a,10482,a(flip),b,16827,a),flip(a)]. 16833 L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(16828(a,1),15248(a,1,1))]. 16834 K(x,K(y,(z * u) \ (w \ v5))) = K(x,K(y,u \ (z \ (v5 / w)))). [hyper(286,a,16595,a(flip),b,16823,a),flip(a)]. 16835 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [hyper(62,a,16809,a,b,16823,a)]. 16836 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [para(11(a,1),16835(a,2,2,2,2))]. 16837 K(x,K(y,(z * u) \ (w * u))) = K(x,K(y,z \ w)). [hyper(62,a,16595,a,b,16836,a)]. 16838 K(x,K(y,z \ (u * (w \ z)))) = K(x,K(y,w \ u)). [para(10(a,1),16837(a,1,2,2,1))]. 16840 K(x,y \ (z * (u \ y))) * K(x,K(w,u \ z)) = K(x,T(y \ (z * (u \ y)),w)). [para(16838(a,1),8093(a,1,2))]. 16841 K(x,K(y,z \ u)) != w | K(x,K(y,u * (z \ y))) = w. [para(16838(a,1),8709(a,1))]. 16843 a(x \ y,z,K(u,w)) * v5 != v6 | v5 * a(u,z,K(y \ x,w)) = v6. [para(14189(a,2),16662(a,1,1))]. 16844 K(x,L(y,z,u \ 1)) != w | a(x,z,K(y,u)) * K(x,y) = w. [para(14263(a,1),16693(a,1))]. 16846 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(8581(a,1),16816(a,1,2,2))]. 16847 K(x,y * (z \ K(u,T(w,v5)))) != v6 | K(x,y * (z \ K(u,w))) = v6. [para(16201(a,1),16816(a,1,2,2))]. 16848 K(x * (K(y,T(z,u)) * w),v5) != v6 | K(x * (K(y,z) * w),v5) = v6. [para(8581(a,1),16817(a,1,1,2))]. 16849 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * ((K(z,u) * y) \ w),v5) = v6. [para(11421(a,1),16817(a,1,1,2))]. 16850 K(x * (y * K(z,T(u,w))),v5) != v6 | K(x * (y * K(z,u)),v5) = v6. [para(15322(a,1),16817(a,1,1,2))]. 16851 K(x,K(y,z * (u \ y))) = K(x,K(y,z \ u)). [hyper(16841,a,8399,a)]. 16852 K(x,K(y * (z * (u \ 1)),w)) = K(x,K(z * (u \ y),w)). [hyper(15209,a,16601,a)]. 16854 ((x * y) * K(z,u)) * K(u,L(z,y,L(x,y,K(z,u)))) = R(x,y,K(z,u)) * y. [para(16696(a,1),14491(a,1,2))]. 16855 T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). [para(11753(a,1),16705(a,1,1))]. 16856 T(x * (T(y,x) * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (y * x). [para(11772(a,1),16705(a,1,1))]. 16857 K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(x,y)) = (u / (z * K(y,x))) * z. [hyper(286,a,11973,a(flip),b,16707,a),flip(a)]. 16858 (K(x,K(y,z)) * (x * (u * w))) \ ((T(x,K(y,z)) * u) * w) = L(a(x,u,w),x * (u * w),K(x,K(y,z))). [para(16757(a,1),448(a,1,2))]. 16859 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(15769,a,16767,a)]. 16863 (x \ R(x,y,x)) \ (K(x,y) * (K(z,u) * w)) = K(z,u) * (K(x,x * y) * w). [hyper(286,a,10430,a,b,16859,a)]. 16867 K(x,y) * (K(z,u) * (y * x)) = K(z,u) * (x * y). [para(4605(a,1),16859(a,1,2)),flip(a)]. 16870 K(x,y) * (((z \ y) * z) * x) = K(z \ y,z) * (x * y). [para(11382(a,1),16867(a,1,2))]. 16872 (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). [hyper(13735,a,16770,a)]. 16873 (K(x,y) / z) * K(u,w) = K(x,y) * (z \ K(u,w)). [para(13636(a,1),16770(a,1,1))]. 16874 K(L(x,y,y \ z),u) * (z \ K(w,v5)) = ((z / y) * (y * K(u,x))) \ K(w,v5). [para(11852(a,1),16872(a,1,1)),flip(a)]. 16875 K(x,y) * (z \ K(u,L(w,v5,v5 \ (K(x,y) / z)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [hyper(62,a,11852,a(flip),b,16873,a),flip(a)]. 16876 K(x * ((y \ K(z,u)) * K(w,v5)),v6) = K(x * (K(z,u) * (y \ K(w,v5))),v6). [para(16873(a,1),15472(a,2,1,2))]. 16877 K(x,L((((y * z) / y) * u) \ w,u,z \ 1)) = K(x,u \ (((y * z) / y) \ w)). [hyper(62,a,14605,a(flip),b,16778,a),flip(a)]. 16879 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,(z * u) \ w)) = v5. [para(16810(a,1),8064(a,1))]. 16880 K(x,K(y,(T(z,u) * w) \ v5)) = K(x,K(y,w \ (z \ v5))). [hyper(62,a,16595,a,b,16824,a)]. 16881 (x \ 1) * (y * K(z,K(u,w))) = (x \ K(z,K(u,w))) * y. [para(15033(a,1),16830(a,1,2))]. 16882 (x \ 1) * T(y * K(z,K(u,w)),v5) = (x \ K(z,K(u,w))) * T(y,v5). [para(15333(a,2),16830(a,1,2))]. 16884 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (K(w \ u,w) * (z * u)),y). [para(16870(a,1),14472(a,1,1,2)),flip(a)]. 16885 (x \ K(y,K(z,u))) * (w \ 1) = (x \ 1) * (w \ K(y,K(z,u))). [para(13512(a,1),16881(a,1,2)),flip(a)]. 16886 K(x,y) * ((z * u) * a(x,z,K(u,y))) = (K(x,y) * z) * u. [para(14176(a,1),16701(a,1,2,2))]. 16889 ((x * y) * K(z,u)) \ (K(z,T(u,x * y)) * ((x * K(w,v5)) * (K(v5,w) * y))) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). [para(5869(a,1),16702(a,2,1))]. 16890 K(L(x \ y,x,K(z,u)),w) = K(((x \ 1) * K(u,z)) * (K(z,u) * y),w). [para(16702(a,1),14033(a,1,1))]. 16891 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,u \ (z \ w))) = v5. [para(16784(a,1),16723(a,1))]. 16893 T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). [hyper(286,a,14405,a(flip),b,16855,a),flip(a)]. 16894 K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. [para(16855(a,1),15082(a,1,2))]. 16895 K(x,y) * (z * (u * a(x,z,K(u,y)))) = (K(x,y) * z) * u. [para(12579(a,1),16886(a,1,2))]. 16897 ((x * (y * a(z,x,K(y,u)))) \ 1) * K(u,z) = ((K(z,u) * x) * y) \ 1. [para(16895(a,1),6402(a,1,1)),flip(a)]. 16898 K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) / K(z,u),w). [para(16895(a,1),8166(a,1,1,1)),flip(a)]. 16899 (x \ R(x,y,x)) \ ((K(x,y) * z) * u) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). [para(16895(a,1),10430(a,1,2))]. 16900 K((x * (y * a(z,x,K(y,u)))) * K(u,z),w) = K((K(z,u) * x) * y,w). [para(16895(a,1),16010(a,1,1)),flip(a)]. 16901 K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K((K(y * x,x) * z) * u,w). [para(16895(a,1),16027(a,1,1)),flip(a)]. 16902 K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(u \ w,T(y,z))). [hyper(8109,a,16602,a)]. 16904 K(x,(L(y,z,u) \ y) \ w) = K(x,w / (L(y,z,u) \ y)). [hyper(124,a,16670,a)]. 16905 K(x,y * (L(z,u,w) * (z \ 1))) = K(x,(L(z,u,w) \ z) \ y). [hyper(286,a,13814,a,b,16904,a)]. 16906 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * (v5 * K(w,u))) * v6)). [para(13591(a,1),16710(a,1,2,2,2,1))]. 16907 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,u * (w \ 1))). [hyper(14332,a,16738,a),flip(a)]. 16908 x * T(y * K(z,K(x * y,u)),w) = T(x * T(y,w),K(z,u)). [para(15317(a,2),16752(a,1,2))]. 16909 K(x,(K(y,K(z,u)) * (T(w,K(y,z)) * v5)) / (K(y,T(z,u)) * v5)) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(16759(a,1),14471(a,1,2,1))]. 16910 ((x * y) * K(z,T(u,x))) * a(K(z,T(u,x)),x,y) = (x * K(z,T(u,y * x))) * y. [hyper(62,a,15278,a,b,16760,a)]. 16911 (x * K(y,z)) * (u * K(y,K(z,w))) = (x * K(y,T(z,w))) * u. [hyper(62,a,16753,a(flip),b,16760,a)]. 16912 K(x \ 1,y \ (K(z,u) * w)) = K(x,w \ (K(u,z) * y)). [hyper(286,a,6717,a(flip),b,16774,a),flip(a)]. 16913 K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,T((u * (v5 \ z)) * w,w \ 1))). [para(6938(a,1),16785(a,2,2,2))]. 16914 (x * (K(y,T(z,u)) * w)) \ (K(y,K(z,u)) * ((x * K(y,z)) * w)) = L(a(x,K(y,z),w),x * (K(y,z) * w),K(y,K(z,u))). [para(16792(a,1),448(a,1,1))]. 16915 K((x * (y * T(z,T(u,w)))) * v5,v6) = K((x * (y * T(z,u))) * v5,v6). [para(7613(a,1),16796(a,1,1,1,2,2))]. 16916 K(a(x,y,x) * ((z * (u * K(w,v5))) * v6),v7) = K((z * (K(w,v5) * u)) * v6,v7). [hyper(286,a,13174,a,b,16797,a)]. 16917 (x * K((y * (K(z,u) * w)) * v5,v6)) \ x = K(v6,(y * (w * K(z,u))) * v5). [para(16797(a,2),6895(a,1,1,2))]. 16918 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [hyper(286,a,15033,a,b,16826,a),flip(a)]. 16919 K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,z \ (u \ (v5 / w)))). [hyper(16723,a,16834,a)]. 16920 K(x,K(y,(z \ u) \ (w * v5))) = K(x,K(y,v5 \ (w \ (u / z)))). [hyper(8422,a,16834,a)]. 16923 K(x,K(y,(((z \ 1) / u) * w) * z)) = K(x,K(y,u \ w)). [hyper(286,a,15017,a(flip),b,16902,a),flip(a)]. 16924 K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / y) * z),u). [para(16923(a,1),12088(a,1,2))]. 16925 K(x,y * (((y \ 1) / z) * u)) * K(x,K(w,z \ u)) = K(x,T(y * (((y \ 1) / z) * u),w)). [para(16923(a,1),15196(a,1,2))]. 16926 K(x,(L(y,z,u) \ y) \ w) = K(x,w * (y \ L(y,z,u))). [para(1233(a,1),16905(a,1,2,2)),flip(a)]. 16927 K(x,y * (z \ L(z,u \ 1,u))) = K(x,a(u,u \ 1,z) \ y). [para(713(a,1),16926(a,1,2,1)),flip(a)]. 16928 x \ (y * T(x * K(z,K(y * x,u \ w)),K(z,w \ u))) = T(y,K(u \ w,z) * x). [para(16908(a,2),14710(a,1,2))]. 16929 K(x,K(y,z)) * ((K(x,y) * u) \ w) = (K(x,T(y,z)) * u) \ w. [para(10895(a,1),16918(a,1,1)),flip(a)]. 16930 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(15033(a,1),16918(a,1,1,2))]. 16931 (x * (T(T(x,y),K(z,u)) \ w)) \ v5 = K(x,K(z,u)) * ((K(y,x) * w) \ v5). [para(15529(a,1),16918(a,1,1))]. 16932 K(x,K(y,z \ (u \ (w / v5)))) = K(x,K(y,w \ (v5 * (u * z)))). [hyper(62,a,16596,a(flip),b,16920,a),flip(a)]. 16933 ((K(x,y) * z) \ u) \ K(x,K(y,w)) = ((K(x,T(y,w)) * z) \ u) \ 1. [para(16929(a,1),11094(a,1,1)),flip(a)]. 16934 K(x,K(y,(K(z,T(u,w)) * v5) \ v6)) * K(x,y * (((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1))) = K(x,(((K(z,u) * v5) \ v6) \ (K(z,K(u,w)) \ 1)) * y). [para(16929(a,1),12193(a,1,1,2,2))]. 16935 L(K(x,K(y,z)) * ((u * w) \ v5),K(v6,K(v7,v8)),v9) = (u * (w * K(x,K(y,z)))) \ v5. [hyper(286,a,16828,a,b,16930,a)]. 16936 K(x,K(y,z \ (u \ (w \ v5)))) = K(x,K(y,v5 \ (w * (u * z)))). [hyper(62,a,16919,a,b,16932,a)]. 16937 K(x,K(y,z \ (u \ (w \ K(v5,v6))))) = K(x,K(y,w * (u * z))). [hyper(286,a,15814,a(flip),b,16936,a),flip(a)]. 16939 K(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = K(x,K(y,w * (u * z))). [para(13302(a,1),16937(a,1,2,2,2,2,2))]. 16940 (a(x,y,K(z,u)) * w) * K(w / a(u,y,K(z,x)),v5) = T(a(u,y,K(z,x)) \ w,v5). [para(14197(a,1),16675(a,1,1))]. 16941 K(x,y * (K(z,u) / w)) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(12177(a,1),16847(a,1,2,2))]. 16942 K(x * (K(y / z,u) * w),v5) != v6 | K(x * (K(z \ y,u) * w),v5) = v6. [para(8158(a,1),16848(a,1,1,2,1))]. 16944 T(x * (T(y,x) * K(z,u)),K(z,u)) = (K(z,u) * y) * x. [hyper(286,a,14399,a(flip),b,16856,a),flip(a)]. 16945 K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * ((K(u,w) * z) * y),v5). [para(16944(a,1),15362(a,1,1,2)),flip(a)]. 16946 K(x,(y * (T(z,y) * K(u,w))) * v5) = K(x,((K(u,w) * z) * y) * v5). [para(16944(a,1),15396(a,1,2,1)),flip(a)]. 16948 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(286,a,8183,a(flip),b,16676,a),flip(a)]. 16950 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(16948(a,2),8223(a,1))]. 16953 L(x,y,K(z,u) * (w * K(v5,w \ 1))) = L(x,y,K(z,u) * T(w,v5)). [para(6688(a,1),16782(a,1,3))]. 16954 K(x,K(y,(z \ 1) \ ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). [hyper(286,a,11099,a(flip),b,16786,a),flip(a)]. 16956 K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,(u \ z) * w)). [hyper(13839,a,16954,a)]. 16957 K(x,K(y,((z \ 1) * u) * w)) = K(x,K(y,(z \ w) * u)). [hyper(15208,a,16956,a)]. 16958 K(x,K(y,z \ ((u \ 1) * w))) = K(x,K(y,(w \ z) * u)). [hyper(62,a,15008,a,b,16956,a)]. 16959 T(x,K(((y \ 1) * z) \ u,w)) = K(x,K(w,(z \ u) * y)) * x. [para(16957(a,1),13800(a,1,1)),flip(a)]. 16960 K(x,K(y,(z \ (u \ 1)) * w)) = K(x,K(y,(w \ u) * z)). [hyper(62,a,16954,a(flip),b,16958,a),flip(a)]. 16961 T(x,K(y,(z \ (u \ 1)) * w)) = K(y,K(x,(w \ u) * z)) * x. [para(16960(a,1),8062(a,1,1)),flip(a)]. 16962 T(x,K(((y \ 1) * z) \ u,w)) = T(x,K(w,(z \ u) * y)). [hyper(4743,a,16959,a),flip(a)]. 16963 T(x,K(((y \ 1) * z) * u,w)) = T(x,K(w,(y \ u) * z)). [para(13539(a,1),16962(a,1,2))]. 16964 T(x,K(y,((z \ 1) * u) * w)) = T(x,K(y,(z \ w) * u)). [hyper(8134,a,16963,a)]. 16965 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,((u \ 1) * v5) * w)) = T(y,K(((u \ 1) * v5) * w,z) * x). [para(16963(a,1),14708(a,1,2,1,2))]. 16966 T(x,K(y,(z \ (u \ 1)) * w)) = T(x,K(y,(w \ u) * z)). [hyper(286,a,8062,a(flip),b,16961,a),flip(a)]. 16967 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(v5 \ (w \ 1)) * u)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). [para(16966(a,1),14707(a,1,2,1,2))]. 16968 (x \ K(y,K(z,u))) * T(w \ 1,v5) = (x \ 1) * T(w \ K(y,K(z,u)),v5). [para(13512(a,1),16882(a,1,2,1)),flip(a)]. 16969 K((x * (y * T(z,u))) * L(w,y * T(z,T(u,v5)),x),v6) = K(x * ((y * T(z,T(u,v5))) * w),v6). [para(92(a,1),16915(a,1,1)),flip(a)]. 16970 L(x,y,K(z,u) / T(w \ 1,v5)) = L(x,y,K(z,u) * T(w,v5)). [para(13637(a,1),16953(a,1,3))]. 16971 L(x,y,T(z \ 1,u) \ K(w,v5)) = L(x,y,K(w,v5) * T(z,u)). [hyper(62,a,16687,a,b,16970,a)]. 16974 K(x,(y * T(z,u)) \ (w * T(z,u))) = K(x,(y * z) \ (w * z)). [hyper(62,a,16300,a(flip),b,16695,a),flip(a)]. 16975 (x / (y * T(z,u))) * (y * z) = x * K(u,((x / (y * z)) * y) \ x). [hyper(62,a,14558,a(flip),b,16740,a)]. 16976 K(((x \ 1) * K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). [hyper(62,a,16663,a(flip),b,16890,a),flip(a)]. 16978 K((x \ K(y,z)) * (K(z,y) * u),w) = K(x \ u,w). [para(13512(a,1),16976(a,1,1,1))]. 16979 K((K(x,y) / z) \ u,w) = K(z * (K(y,x) * u),w). [para(76(a,1),16978(a,1,1,1)),flip(a)]. 16980 K((x * K(y,z)) * u,w) = K(x * (K(y,z) * u),w). [hyper(13745,a,16979,a)]. 16981 K(x * (y * K(z,u)),w) * K(x,K(y,w)) = K(y * (K(z,u) * x),w). [hyper(62,a,15847,a,b,16980,a)]. 16982 K((x * ((y * z) / y)) * u,w) = K((x * z) * (K(y,z) * u),w). [para(6695(a,1),16980(a,1,1,1))]. 16983 K((x * y) * (K(y,z) * u),w) = K((x * T(y,z)) * u,w). [para(6811(a,1),16980(a,1,1,1)),flip(a)]. 16984 K((x * y) * (K(z \ y,z) * u),w) = K((x * ((z \ y) * z)) * u,w). [para(10583(a,1),16980(a,1,1,1)),flip(a)]. 16985 K((K(x,y) * z) * u,w) = K(z * (u * K(x,y)),w). [hyper(34,a,15840,a,b,16981,a)]. 16986 K(K(x,L(y,z,u)) * (z * u),w) = K(z * (u * K(x * K(v5,v6),y)),w). [hyper(16120,a,16985,a)]. 16987 K((K(x,T(y,z)) * u) * w,v5) = K(u * (w * K(x,y)),v5). [hyper(286,a,15449,a(flip),b,16985,a),flip(a)]. 16988 K(x * (y * K(z,u \ 1)),w) = K((K(z,u) * x) * y,w). [hyper(62,a,14820,a(flip),b,16985,a),flip(a)]. 16989 K((x * y) * (z * K(x,u)),w) = K((T(x,u) * y) * z,w). [para(4675(a,1),16985(a,1,1,1)),flip(a)]. 16990 K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). [para(5741(a,1),16985(a,1,1,1)),flip(a)]. 16991 K((x \ y) * (z * K(x,u \ 1)),w) = K((y * T(y \ (x \ y),u)) * z,w). [para(6472(a,1),16985(a,1,1,1)),flip(a)]. 16992 T(x * K(y * (x * K(z,u)),w),K(z,u) * y) = (K(z,u) * y) \ T(x * (K(z,u) * y),w). [para(16985(a,1),13543(a,1,1,2))]. 16993 K((K(x,T(y,z)) * u) * w,v5) != v6 | K(u * (w * K(x,y)),v5) = v6. [para(16985(a,2),16850(a,1))]. 16994 K((K(x,T(y,z)) * K(u,T(w,v5))) * v6,v7) = K(K(u,w) * (v6 * K(x,y)),v7). [hyper(286,a,15370,a(flip),b,16987,a),flip(a)]. 16995 K((x / y) * (z * K(u,y)),w) = K((x / T(y,u)) * z,w). [para(9058(a,1),16987(a,1,1,1)),flip(a)]. 16996 K(x * (y * K(z,u \ 1)),w) = K(x * (y * K(z,u)),w). [hyper(286,a,16985,a(flip),b,16988,a),flip(a)]. 16997 K((x * y) * (z * K(x,T(x \ u,w))),v5) = K((T(x,T(u / x,w)) * y) * z,v5). [para(3936(a,1),16989(a,2,1,1,1))]. 16998 K((K(x,y) * z) * u,w) != v5 | K(z * (u * K(x,y)),w) = v5. [para(107(a,1),16993(a,1,1,1,1,2))]. 16999 K(x * (y * K(z,u \ 1)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(16988(a,2),16998(a,1))]. 17000 (a(x,y,K(z,u)) * ((y * z) \ 1)) * K(x,u) = ((K(u,x) * y) * z) \ 1. [para(14315(a,1),16897(a,1,1))]. 17001 T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = x * K(x,K(y,w * (u * z))). [para(16939(a,1),4659(a,2,2))]. 17002 K(x * (y * K(z * K(u,w),v5)),v6) = K((K(z,v5) * x) * y,v6). [para(14399(a,1),16986(a,1,1)),flip(a)]. 17003 K(x * (y * K(z * K(u,w),v5)),v6) = K(x * (y * K(z,v5)),v6). [hyper(286,a,16985,a(flip),b,17002,a),flip(a)]. 17004 K(x * ((y * K(z,u)) * K(y,w)),v5) = K(x * T(y * K(z,u),w),v5). [para(4659(a,2),17003(a,1,1,2)),flip(a)]. 17005 K(x * T(y * K(z,u),w),v5) = K(x * (T(y,w) * K(z,u)),v5). [para(15114(a,1),17004(a,1,1,2)),flip(a)]. 17006 K((x \ y) * T(z * K(u,x),w),v5) = K((T(x,u) \ y) * T(z,w),v5). [hyper(286,a,16990,a(flip),b,17005,a),flip(a)]. 17007 K((T(x,y) \ z) * T(u,x \ z),w) = K((u * K(y,x)) * (x \ z),w). [para(108(a,1),17006(a,1,1)),flip(a)]. 17008 K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (K(y,x) * (x \ z)),w). [hyper(286,a,16980,a(flip),b,17007,a),flip(a)]. 17009 K((T(x,y) \ z) * T(u,x \ z),w) = K(u * (T(x,y) \ z),w). [para(5741(a,1),17008(a,2,1,2))]. 17010 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(16704(a,1),16711(a,1,2)),flip(a)]. 17011 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(286,a,14707,a(flip),b,17010,a),flip(a)]. 17013 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(15061,a,17011,a)]. 17014 T(x,K((y * z) \ u,w) * v5) = T(x,K(z \ (y \ u),w) * v5). [para(268(a,1),17011(a,1,2,1,1))]. 17015 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(10748(a,1),17011(a,1,2,1))]. 17016 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(7081(a,1),17013(a,1,2,2))]. 17017 T(x,y \ K(z,L(u,w,v5))) = T(x,K(z,u) * (y \ 1)). [hyper(15164,a,17015,a)]. 17018 K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). [hyper(115,a,17015,a(flip),b,4659,a(flip)),flip(a)]. 17019 K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). [para(17015(a,1),4617(a,2,2))]. 17020 T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). [para(14399(a,1),17015(a,1,2))]. 17021 T(x,(K(y,z) * u) * (u \ w)) = T(x,K(y,z) * w). [para(14400(a,1),17015(a,1,2))]. 17022 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(92(a,1),17016(a,1,2)),flip(a)]. 17023 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(4856(a,2),17016(a,2,2))]. 17024 T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(u,w) * z)). [hyper(15862,a,17020,a),flip(a)]. 17026 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(62,a,15382,a(flip),b,17020,a)]. 17027 T(x,K(y,z) * ((K(z,y) * u) * w)) = T(x,u * w). [para(5846(a,1),17020(a,1,2,1)),flip(a)]. 17029 T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,(u * K(z,y)) \ w) = v5. [para(17020(a,1),13764(a,1))]. 17030 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,K(v5,w) * (u * z)) * v6). [para(17020(a,1),15728(a,2,2,1))]. 17032 T(x,(y \ 1) * ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). [para(13649(a,1),17021(a,1,2,1))]. 17033 T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). [hyper(15061,a,17022,a)]. 17034 T(x,K(y,z) * ((u \ 1) * w)) != v5 | T(x,u \ (w * K(y,z))) = v5. [para(17022(a,2),13695(a,1))]. 17035 T(x,T(y,K(z,u) * (w * v5)) / ((w * K(z,u)) * v5)) = T(x,((w * K(z,u)) * v5) \ y). [para(17026(a,1),13102(a,1,2,1))]. 17036 T(x,(K(y,z) * u) * (w * K(z,y))) = T(x,u * w). [hyper(62,a,17022,a(flip),b,17027,a)]. 17037 T(x,(y * z) * (u * K(y,w))) = T(x,(T(y,w) * z) * u). [para(4644(a,1),17036(a,1,2,1))]. 17038 T(x,y \ K(z,L(u,w,v5))) = T(x,y \ K(z,u)). [hyper(286,a,15101,a(flip),b,17017,a),flip(a)]. 17039 T(x,((y * z) * K(u,w)) \ y) = T(x,z \ K(w,u)). [hyper(62,a,15211,a,b,17038,a)]. 17041 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(286,a,4614,a,b,17018,a),flip(a)]. 17042 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(17018(a,2),4728(a,1))]. 17043 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(16894,a,17041,a),flip(a)]. 17044 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(15096,a,17041,a)]. 17045 K(x,K(L(y,z,u),w) * v5) = K(x,K(y,w) * v5). [para(11737(a,1),17041(a,1,2,1))]. 17047 K(x,K(y,T(z \ (u \ w),v5)) * v6) = K(x,v6 * K(y,T((u * z) \ w,v5))). [para(505(a,1),17044(a,1,2,2,2)),flip(a)]. 17048 K(x,(K(y,z) * u) * w) = K(x,K(z,y) * (u * w)). [hyper(62,a,14729,a(flip),b,17045,a)]. 17049 K(x,y * (z * K(u,w \ 1))) = K(x,K(u,w) * (y * z)). [hyper(14785,a,17043,a),flip(a)]. 17050 K(x,y * (z * K(u,u \ w))) = K(x,K(u,w) * (y * z)). [hyper(14765,a,17043,a),flip(a)]. 17051 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(286,a,15401,a,b,17043,a),flip(a)]. 17053 K(x,K(y,z) * (u * (w / z))) = K(x,u * (w / T(z,y))). [para(6605(a,1),17043(a,2,2,2))]. 17054 K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ T(y,z))). [para(13515(a,1),17043(a,2,2,2))]. 17055 K(x,y * (z * K(u,u \ w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(17043(a,1),14765(a,1))]. 17056 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(17043(a,2),15430(a,1))]. 17057 K(x,(y * K(z,u)) * w) = K(x,K(u,z) * (y * w)). [hyper(15423,a,17048,a)]. 17059 K(x \ 1,K(y,z) * (u * w)) = K(x,(w \ 1) * (u \ K(y,z))). [hyper(62,a,13816,a(flip),b,17048,a),flip(a)]. 17060 K(x,K(y,z) * (u * w)) * K(x,K(u,w)) = K(x,w * (K(z,y) * u)). [para(17048(a,1),15837(a,1,1))]. 17061 K(x,y * (K(K(z,u) * w,v5) * v6)) = K(x,K(w,v5) * (y * v6)). [hyper(16089,a,17051,a),flip(a)]. 17062 K(x,y * (K(z,K(u,w) * v5) * v6)) = K(x,K(v5,z) * (y * v6)). [hyper(16088,a,17051,a),flip(a)]. 17063 K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). [hyper(15096,a,17051,a)]. 17064 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(14721,a,17051,a)]. 17065 K(x,K(y,z) * (u * (y * w))) = K(x,u * (T(y,z) * w)). [para(4675(a,1),17051(a,2,2,2))]. 17066 K(x,K(y,L(T(z,u),w,v5)) * (v6 * u)) = K(x,v6 * (u * K(y,L(z,w,v5)))). [para(8148(a,1),17051(a,2,2,2))]. 17067 K(x,K(y,L(z,z \ u,w)) * (v5 * ((z \ u) * w))) = K(x,v5 * (T(R(z,z \ u,w),y) \ (u * w))). [para(14389(a,1),17051(a,2,2,2))]. 17068 K(x,y * (K(z \ u,z) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(17051(a,1),14745(a,1))]. 17070 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(w,u) * (z * y)). [hyper(62,a,15821,a,b,17057,a)]. 17071 K(x,K(y,z) * ((u / y) * w)) = K(x,(u / T(y,z)) * w). [para(6605(a,1),17057(a,1,2,1)),flip(a)]. 17072 K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). [para(6811(a,1),17057(a,1,2,1)),flip(a)]. 17073 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). [para(13515(a,1),17057(a,1,2,1)),flip(a)]. 17074 L(x,y,K(K(z,u) * w,K(u,z) * (w * (K(u,z) * v5)))) = L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)). [para(17057(a,1),13389(a,1,3))]. 17075 K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(17063(a,1),15095(a,1))]. 17076 K(x,K(y,z) * (u * (K(y,z) * w))) = K(x,u * w). [para(5846(a,1),17064(a,2,2,2))]. 17077 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5741(a,1),17064(a,2,2,2))]. 17078 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(286,a,4617,a,b,17019,a),flip(a)]. 17079 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(17019(a,2),4697(a,1))]. 17080 K(x * K(y,L(z,u,w)),v5) = K(K(y,z) * x,v5). [hyper(15093,a,17078,a)]. 17081 K(K(L(x,y,z),z * y) * u,w) = K(K(z * (y * x),x) * u,w). [hyper(62,a,16037,a(flip),b,17078,a)]. 17083 K(K((x * y) \ z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). [para(11791(a,1),17078(a,1,1,1))]. 17084 K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). [para(14599(a,1),17078(a,1,1)),flip(a)]. 17085 K(K(x,y * ((z \ 1) \ u)) * w,v5) = K(K(x,(y * z) * u) * w,v5). [para(14621(a,1),17078(a,1,1,1))]. 17086 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [para(11737(a,1),17080(a,1,1,2))]. 17087 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(14574(a,1),17080(a,1,1)),flip(a)]. 17088 K(K(x * ((y \ 1) * z),u) * w,v5) = K(K(u,(x / y) * z) * w,v5). [hyper(62,a,16022,a(flip),b,17086,a)]. 17089 K(x * K(L(y,z,u),w),v5) != v6 | K(x * K(y,w),v5) = v6. [para(17086(a,2),15093(a,1))]. 17090 T(x,y \ ((K(z,u) / y) \ w)) = T(x,K(u,z) * w). [hyper(13695,a,17032,a)]. 17091 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,(T(u,v6) * w) * v5) * y). [para(17037(a,1),15344(a,1,2,2,1)),flip(a)]. 17092 K(x,K(L(y,z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(11737(a,1),17042(a,1,2,1))]. 17093 K(x,K(y,z) * (u * (y \ z))) = K(x,u * (z / y)). [para(4672(a,1),17050(a,1,2,2)),flip(a)]. 17094 K(x,K(y,z) * (u * (w \ y))) = K(x,u * (w \ ((y \ z) \ z))). [para(13584(a,2),17050(a,1,2,2)),flip(a)]. 17095 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y \ 1))). [hyper(14791,a,17054,a)]. 17096 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ T(z,y))). [hyper(14721,a,17054,a)]. 17097 K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). [hyper(16114,a,17065,a)]. 17099 K(x,K(y,z) * ((u / z) * w)) = K(x,(u / T(z,y)) * w). [hyper(14721,a,17071,a)]. 17101 K(K(x,(y * T(z,u)) * w) * v5,v6) = K(K((y * z) * w,x) * v5,v6). [para(17072(a,1),16009(a,1,1,1))]. 17102 K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). [hyper(14721,a,17073,a)]. 17103 K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). [hyper(62,a,17064,a(flip),b,17073,a)]. 17104 K(x,K(y,z) * ((u \ (y * z)) * w)) = K(x,(u \ T(y * z,z)) * w). [hyper(62,a,14734,a(flip),b,17073,a)]. 17105 K(x,y * T(z \ K(u,w),v5)) = K(x,y * (T(z,v5) \ K(u,w))). [hyper(16094,a,17077,a)]. 17106 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [hyper(62,a,17093,a(flip),b,17077,a),flip(a)]. 17107 K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)). [hyper(62,a,17051,a(flip),b,17077,a)]. 17109 K(x,y * (z / u)) * K(x,K(y,z / u)) = K(x,(T(u,z) \ z) * y). [para(17106(a,1),15975(a,1,1))]. 17110 K(K(x,y \ (z \ u)) * w,v5) != v6 | K(K(x,(z * y) \ u) * w,v5) = v6. [para(14605(a,1),17079(a,1,1,1))]. 17112 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. [para(15067(a,1),17079(a,1))]. 17114 K((T(x,y) \ z) * T(u,x \ z),w) = K(K(y,x) * (u * (x \ z)),w). [para(108(a,1),17084(a,1,1,2)),flip(a)]. 17115 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y \ 1)),w). [hyper(14807,a,17087,a)]. 17116 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(y * x,y)),w). [hyper(62,a,13190,a(flip),b,17087,a)]. 17117 K(x,(K(y,z) * u) * w) != v5 | K(x,K(z,y) * (u * w)) = v5. [para(14729(a,1),17092(a,1))]. 17118 K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17043,a(flip),b,17096,a)]. 17119 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * ((v6 * K(w,v5)) * T(y \ z,v6))). [para(15727(a,1),17102(a,1,2,2)),flip(a)]. 17120 K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ u) * (K(u,K(v5,w) * z) * v6)). [para(14707(a,2),17103(a,2,2,1,2)),flip(a)]. 17121 K(x,y * (((z * u) / z) \ w)) = K(x,y * (T(u,z) \ w)). [para(5716(a,2),17107(a,1,2,2))]. 17122 K(x * (K(y,z) * (y \ u)),w) = (v5 \ K(w,x * (T(y,z) \ u))) \ (v5 \ 1). [para(17107(a,1),13580(a,1,1,2)),flip(a)]. 17123 K(x,y * (T(T(z,u),u) \ w)) = K(x,y * (z \ w)). [para(204(a,1),17121(a,1,2,2,1)),flip(a)]. 17124 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [hyper(62,a,17106,a(flip),b,17123,a)]. 17125 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(3926(a,2),17124(a,1,2,2))]. 17126 K(x,T(y,z \ u) * (z \ u)) = K(x,(T(u,z) / z) * y). [hyper(62,a,13107,a(flip),b,17125,a),flip(a)]. 17127 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [hyper(62,a,12122,a(flip),b,17126,a),flip(a)]. 17128 K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,(T(u,K(z,y)) / (y / z)) * w). [para(12056(a,1),17127(a,1,2,1,1)),flip(a)]. 17130 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(z,y) * w)) = v5. [para(14720(a,1),17056(a,1))]. 17132 T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(w,T(u,v5)) * z)). [hyper(62,a,15611,a(flip),b,17024,a)]. 17133 K(x,(K(y,z) * (u * w)) \ 1) = K(x,(w \ 1) * (u \ K(y,z))). [hyper(6476,a,17059,a)]. 17134 K(K(x \ (y \ z),u) * w,v5) != v6 | K(K(u,z \ (y * x)) * w,v5) = v6. [para(17083(a,1),16050(a,1))]. 17135 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17054,a(flip),b,17094,a),flip(a)]. 17136 K(x,y * (z \ T(u,w \ 1))) = K(x,y * (z \ T(u,w))). [hyper(62,a,17096,a(flip),b,17095,a),flip(a)]. 17137 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (((u * w) \ w) \ w))). [para(3892(a,1),17136(a,1,2,2,2)),flip(a)]. 17138 K(x * (y \ K(z,u \ 1)),w) = K(x * (y \ K(z,u)),w). [hyper(62,a,17087,a(flip),b,17115,a),flip(a)]. 17139 K(x * (y \ K(z,((u * w) \ u) \ v5)),v6) = K(x * (y \ K(z,v5 \ L(w \ 1,w,u))),v6). [para(6723(a,1),17138(a,1,1,2,2)),flip(a)]. 17140 K(x * (y \ K(z * u,z)),w) = K(x * (y \ K(u,z)),w). [hyper(62,a,17087,a(flip),b,17116,a),flip(a)]. 17141 K(x,(y \ 1) * (z \ K(u,w))) = K(x,(z * y) \ K(w,u)). [hyper(6993,a,17133,a),flip(a)]. 17142 K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(w,u))). [hyper(13560,a,17141,a),flip(a)]. 17145 K(K(x * (y * z),z) * u,w) = K(K(z,x * y) * u,w). [para(13809(a,1),17081(a,1,1,1)),flip(a)]. 17146 K(K(x * (y * z),y) * u,w) = K(K(y,x * z) * u,w). [para(8835(a,1),17145(a,1,1,1))]. 17147 K(x \ K(y,z * (y * u)),w) = K(K(y,z * u) * x,w \ 1). [hyper(6971,a,17146,a)]. 17148 K((K(x,K(x * y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(15249(a,2),17146(a,1,1,1))]. 17149 K(x \ K(y,z * (y * u)),w) != v5 | K(x \ K(y,z * u),w) = v5. [para(17147(a,2),16031(a,1))]. 17150 K(x,K(y,z) * (u * w)) * K(u,K(x,w)) = K(x,w * (K(z,y) * u)). [para(8056(a,1),17060(a,1,2))]. 17151 K(x,K(y,z)) * K(y,K(u,w) * (z * x)) = K(y,x * (z * K(w,u))). [hyper(15251,a,17070,a)]. 17153 K(K((x * y) * z,u) * w,v5) != v6 | K(w * K((x * T(y,v7)) * z,u),v5) = v6. [para(17101(a,1),16033(a,1))]. 17154 K(x,K(y,z) * ((u \ (z * y)) * w)) = K(x,(u \ T(z * y,y)) * w). [hyper(14721,a,17104,a)]. 17155 K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). [hyper(62,a,12192,a(flip),b,17109,a),flip(a)]. 17156 K(K(x,y) * (z * (y \ u)),w) = K(z * (T(y,x) \ u),w). [hyper(62,a,17009,a(flip),b,17114,a),flip(a)]. 17157 K(K(x,T(y,z)) * (K(z,y) * u),w) = K(y * (T(T(y,z),x) \ u),w). [para(4643(a,1),17156(a,1,1,2))]. 17158 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(u,z) * v5)). [hyper(62,a,17024,a(flip),b,17132,a),flip(a)]. 17159 T(x,y * (K(z,u) * w)) = T(x,y * (K(u,z) * w)). [hyper(62,a,15440,a(flip),b,17158,a)]. 17160 T(x,y * (K(z,u) * ((z * u) * w))) = T(x,y * ((u * z) * w)). [para(11376(a,1),17159(a,1,2,2)),flip(a)]. 17161 T(x,y * ((T(z,u) * u) * w)) = T(x,y * ((u * z) * w)). [para(11457(a,1),17160(a,1,2,2))]. 17162 K(x * ((T(y,z) * z) * u),w) = T(w,x * ((z * y) * u)) \ w. [para(17161(a,1),4603(a,2,1))]. 17163 K(x * ((T(y,z) * z) * u),w) = K(x * ((z * y) * u),w). [hyper(286,a,4603,a,b,17162,a),flip(a)]. 17164 K(x * ((T(y,z) * z) * u),w) != v5 | K(x * ((z * y) * u),w) = v5. [para(17162(a,2),4684(a,1))]. 17165 K(x * ((T(y,z \ 1) * (y \ (z \ y))) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). [para(3879(a,1),17163(a,1,1,2,1,1))]. 17166 K(x * ((T(y,T(z,u)) * T(z,T(u,w))) * v5),v6) = K(x * ((T(z,T(u,w)) * y) * v5),v6). [para(15102(a,1),17163(a,1,1,2,1,1))]. 17167 K(x * ((T(y,T(z,u)) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. [para(12110(a,1),17164(a,1,1,2,1,1))]. 17168 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ T(u * w,u))). [hyper(286,a,17135,a(flip),b,17137,a)]. 17169 K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,K(z,v5) * (v6 * y)) * K(v6,K(x,y)). [para(16092(a,1),17150(a,1,1)),flip(a)]. 17170 K((T(T(x,y),z) \ x) * u,w) = K(x * (T(T(x,y),z) \ u),w). [para(14602(a,1),17157(a,1,1))]. 17171 K(K(x,y) * (z * K(y,u)),w) = K(y * (T(T(y,x),u) \ z),w). [hyper(62,a,16137,a(flip),b,17170,a)]. 17172 K(K(x,L(y,z,u)) * (w * K(L(y,z,u),v5)),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). [para(25(a,2),17171(a,2,1,2,1,1))]. 17173 K(K(x,(y * z) \ u) * w,v5) = K(w * K(z \ (y \ u),x),v5). [hyper(17110,a,16010,a)]. 17174 K(K(x,(y * T(z,u)) \ w) * v5,v6) = K(K(z \ (y \ w),x) * v5,v6). [hyper(286,a,16065,a(flip),b,17173,a),flip(a)]. 17175 K(K(x \ (y * T(z,u)),w) * v5,v6) = K(K(z \ (y \ x),w) * v5,v6). [hyper(16032,a,17174,a)]. 17176 K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(y \ ((u \ 1) \ x),w) * v5,v6). [hyper(15501,a,17175,a)]. 17177 ((x * y) * z) / (x * (y * z)) = 1 * a(x,y,z). [para(14536(a,1),16726(a,1,1)),flip(a)]. 17178 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(226,a,17177,a)]. 17181 K(K(x,y),K(z,u)) * ((K(w,K(x,y)) * v5) \ (x * y)) = (T(T(K(x,y),w),K(z,u)) \ v5) \ (y * x). [hyper(62,a,13730,a(flip),b,16931,a),flip(a)]. 17182 K((x \ y) * (z * K(x,u)),w) = K((y * T(y \ (x \ y),u)) * z,w). [hyper(16999,a,16991,a)]. 17183 K(x,y * K(z,T((u * w) \ v5,v6))) = K(x,K(w \ (u \ v5),z) * y). [hyper(16098,a,17047,a),flip(a)]. 17185 K(x,K(y \ (z \ (u \ 1)),w) * v5) = K(x,K(u * (z * y),w) * v5). [hyper(62,a,15442,a(flip),b,17183,a),flip(a)]. 17186 K(x,K(y,z \ (u \ (w \ 1))) * v5) = K(x,K(w * (u * z),y) * v5). [hyper(14721,a,17185,a)]. 17187 K(x,K(y,z * (u / (w \ 1))) * v5) = K(x,K(u * (w * z),y) * v5). [hyper(62,a,16821,a(flip),b,17186,a)]. 17188 K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K(z * (u * y),w) * v5). [hyper(14721,a,17187,a)]. 17189 K(x,K(y,T(z,u)) * (w * u)) = K(x,w * (u * K(y,L(z,v5,v6)))). [hyper(17042,a,17066,a)]. 17191 K(x,y * (z * K(u,L(w,v5,v6)))) != v7 | K(x,K(w,u) * (y * z)) = v7. [para(17189(a,1),16098(a,1))]. 17192 K(x * (K(y,z) * (y \ u)),w) = K(x * (T(y,z) \ u),w). [hyper(286,a,13580,a(flip),b,17122,a),flip(a)]. 17193 K(x * (K(y,z) * (y \ u)),w) != v5 | K(x * (T(y,z) \ u),w) = v5. [para(17122(a,2),13581(a,1))]. 17194 K(x * (((y * z) / y) \ u),w) = K(x * (T(z,y) \ u),w). [para(5716(a,2),17192(a,1,1,2))]. 17195 K(x * (y * T(y \ (z \ y),u)),w) = K(x * (T(z,u \ 1) \ y),w). [para(6472(a,1),17192(a,1,1,2))]. 17196 K(x * (T(y,T(z,y \ u)) \ u),w) = K(x * ((y \ u) * K(y,z)),w). [para(8146(a,1),17192(a,1,1,2)),flip(a)]. 17197 K(x * (((y * z) / y) \ u),w) = K(x * (K(z,y) * (z \ u)),w). [hyper(286,a,17192,a,b,17194,a),flip(a)]. 17198 K(x * ((L(y,z \ 1,z) / z) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). [para(235(a,1),17194(a,1,1,2,1,1))]. 17199 K(T(x,((y * z) / y) \ u) * (K(z,y) * (z \ u)),w) = K((((y * z) / y) \ u) * x,w). [hyper(12127,a,17197,a),flip(a)]. 17200 K(x * ((y \ z) * K(y,u)),w) = K(x * (T(y,u) \ z),w). [hyper(62,a,15474,a(flip),b,17196,a),flip(a)]. 17203 (x * K(y,T(z,u))) \ (x * (K(y,T(z,u)) * w)) = L(w,K(y,z),x). [para(16792(a,1),16645(a,1,2))]. 17204 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [hyper(439,a,17203,a)]. 17206 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(62,a,16235,a(flip),b,17204,a)]. 17208 R(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [hyper(286,a,17204,a(flip),b,17206,a),flip(a)]. 17209 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(17206(a,1),104(a,1,1))]. 17211 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,T(z,u)),u). [para(17208(a,1),14456(a,1,1,2))]. 17212 L(x,K(y,T(z,u)),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. [para(8146(a,1),17209(a,1,2))]. 17213 a(x,x \ 1,L(y \ 1,K(z,u),w)) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. [para(11255(a,2),17209(a,1,1))]. 17215 L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. [para(11399(a,1),17212(a,1,1))]. 17217 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,z \ (y \ (x \ 1)))). [hyper(286,a,14501,a(flip),b,16735,a),flip(a)]. 17218 K(x / y,L(T(z,x * (y \ u)),x,y \ u)) = K(T(u,y) \ (x * (u / y)),z). [hyper(62,a,15949,a,b,16736,a)]. 17219 K(x,L(T(y,z),u,y \ (u \ w))) * z = z * K(x,((w / (u * y)) * u) \ w). [para(14544(a,1),16739(a,1,1))]. 17220 (x * y) * (K(z,L(u,y,L(x,y,K(u,z)))) * K(u,z)) = R(x,y,K(u,z)) * y. [hyper(9229,a,16854,a)]. 17222 K(x,L(y,z,(z * K(y,x)) \ u)) * T(u,K(y,x)) = (u / (z * K(y,x))) * z. [para(8115(a,1),16857(a,1,2))]. 17223 (x \ R(x,y,x)) \ (K(x,y) * (K(z,K(u,w)) * v5)) = K(w,K(z,z * u)) * (K(x,x * y) * v5). [para(8660(a,1),16863(a,1,2,2,1))]. 17224 K(x,L(y,z,z \ u)) * (u \ K(w,v5)) = ((u / z) * (z * K(y,x))) \ K(w,v5). [para(11780(a,1),16874(a,1,1))]. 17225 K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * (u * K(y,z))) * w,v5) = v6. [para(16916(a,1),13175(a,1))]. 17226 T(x,K(y,z \ (u \ (w \ a(v5,v6,K(v7,v8)))))) = T(x,K(y,w * (u * z))). [hyper(4730,a,17001,a),flip(a)]. 17227 T(x,K(y,z \ (u \ (w \ 1)))) = T(x,K(y,w * (u * z))). [para(422(a,1),17226(a,1,2,2,2,2,2))]. 17228 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = (v9 \ T(v8 * v9,K(x,u * (z * y)))) \ T(v8,v9). [para(17226(a,1),13599(a,1,1,2)),flip(a)]. 17229 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(6892(a,1),17023(a,1,2,1))]. 17230 K(x * (L(y / z,z,z \ 1) \ u),w) = K(x * (T((z \ 1) * y,z) \ u),w). [para(5919(a,2),17198(a,1,1,2,1))]. 17231 K((x * (x \ y)) \ (z * (x \ y)),u) = K(T(y,x) \ (z * (y / x)),u). [hyper(15649,a,17218,a)]. 17232 K(T(x,y) \ (z * (x / y)),u) = K(x \ (z * (y \ x)),u). [para(10(a,1),17231(a,1,1,1)),flip(a)]. 17234 x * K(y,L(z,u,z \ (u \ w))) = x * K(y,((w / (u * z)) * u) \ w). [hyper(8340,a,17219,a)]. 17235 x * K(y,((z / (u * w)) * u) \ z) = x * K(y,L(w,u,u \ z)). [para(14305(a,1),17234(a,1,2)),flip(a)]. 17236 (x / (y * T(z,u))) * (y * z) = x * K(u,L(z,y,y \ x)). [hyper(62,a,16975,a,b,17235,a)]. 17237 (x / (y * T(z,u))) * (y * z) = (x / y) * (y * K(u,z)). [hyper(286,a,11852,a(flip),b,17236,a),flip(a)]. 17238 (x * y) * a(z,y,K(L(x,y,K(u,z)),u)) = R(x,y,K(u,z)) * y. [para(14185(a,1),17220(a,1,2))]. 17239 (x * y) * a(z,y,K(x,u)) = R(x,y,K(u,z)) * y. [para(16663(a,1),17238(a,1,2,3))]. 17240 x * (y * a(z,y,K(x,u))) = R(x,y,K(u,z)) * y. [hyper(62,a,12587,a(flip),b,17239,a)]. 17242 T(K(x,L(y,z,(z * K(y,x)) \ u)) * u,K(y,x)) = (u / (z * K(y,x))) * z. [hyper(62,a,15917,a,b,17222,a)]. 17243 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(9122(a,1),17229(a,1,2)),flip(a)]. 17244 K(x * (T((y \ 1) * (z * y),y) \ u),w) = K(x * (L(z,y,y \ 1) \ u),w). [para(11(a,1),17230(a,1,1,2,1,1)),flip(a)]. 17245 K(x * (L(T(y,z) / z,T(z,y),T(z,y) \ 1) \ u),w) = K(x * (T((T(z,y) \ 1) * y,T(z,y)) \ u),w). [para(3926(a,2),17230(a,1,1,2,1,1))]. 17246 K(x,L(y,z,(z * K(y,x)) \ u)) * u = T((u / (z * K(y,x))) * z,K(y,x)). [hyper(8130,a,17242,a),flip(a)]. 17247 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(5839(a,1),17243(a,1,2,2,2))]. 17248 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(8032(a,1),17247(a,1,2,2))]. 17249 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(62,a,15374,a(flip),b,17248,a),flip(a)]. 17251 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(10234(a,1),17249(a,1,2,2))]. 17252 K((x * a(y,z,K(u,w))) / v5,T(v6,x)) = K(v5 \ (x * a(y,z,K(u,w))),v6). [para(17251(a,1),7729(a,1,2))]. 17253 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(12582(a,1),17251(a,1,2))]. 17254 K(x,(T(y,z) * z) * a(u,w,K(v5,L(v6,z,T(y,z * a(u,w,K(v5,v6))))))) = K(x,(z * a(u,w,K(v5,v6))) * y). [para(17251(a,1),12588(a,1,2,1,1))]. 17257 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(16659(a,2),17251(a,1,2))]. 17258 K(a(x,y,K(z,u)) * w,v5) = v5 / T(v5,w). [para(17257(a,1),4617(a,2,2))]. 17259 K(a(x,y,K(z,u)) * w,v5) != v6 | K(w,v5) = v6. [para(17258(a,2),4697(a,1))]. 17260 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(16659(a,1),17259(a,1,1))]. 17261 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(17260,a,xx),flip(a)]. 17262 K(x * (y * a(z,u,K(w,v5))),v6) != v7 | K(x * y,v6) = v7. [para(12582(a,1),17260(a,1,1))]. 17263 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [hyper(286,a,6895,a,b,17261,a),flip(a)]. 17264 K(x * (y * a(z,u,K(w,v5))),v6) = K(x * y,v6). [para(12582(a,1),17261(a,1,1))]. 17265 T(x,y * ((z * u) * K(w,v5))) = T(x,y * (z * (u * K(w,v5)))). [para(81(a,1),17253(a,1,2,2))]. 17266 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(15231,a,17263,a(flip)),flip(a)]. 17267 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [hyper(286,a,8301,a,b,17266,a),flip(a)]. 17268 K(x,y / a(z,u,K(w,v5))) = K(x,y). [para(12(a,1),17266(a,1,2)),flip(a)]. 17269 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(12582(a,1),17266(a,1,2))]. 17270 K(x * ((y * z) * K(u,w)),v5) = K(x * (y * (z * K(u,w))),v5). [para(81(a,1),17264(a,1,1,2))]. 17271 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,(y \ 1) * z). [hyper(13560,a,17269,a)]. 17272 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(81(a,1),17269(a,1,2,2))]. 17273 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (K(z,u) * (w * v5))). [para(14329(a,1),17269(a,1,2,2)),flip(a)]. 17274 K(x,y \ (z * a(u,w,K(v5,v6)))) != v7 | K(x,y \ z) = v7. [para(17271(a,2),13560(a,1))]. 17275 K(x * ((y * z) * K(u,w)),v5) != v6 | K(x * (y * (z * K(u,w))),v5) = v6. [para(81(a,1),17262(a,1,1,2))]. 17276 K(x * (y * (z * a(u,w,K(v5,v6)))),v7) != v8 | K(x * (y * z),v7) = v8. [para(12582(a,1),17262(a,1,1,2))]. 17277 K(x * (a(y,z,K(u,w)) * v5),v6) != v7 | K(x * v5,v6) = v7. [para(16659(a,2),17262(a,1,1,2))]. 17278 K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). [hyper(17274,a,9500,a)]. 17279 K(x,y \ K(z,L(u,w,v5))) != v6 | K(x,y \ K(z,u)) = v6. [para(11746(a,1),17274(a,1,2,2))]. 17280 T(x,y) \ T(T(x,z),T(y,z)) != u | K(x,z) = u. [para(17267(a,1),13114(a,1))]. 17282 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(17267(a,2),17280(a,1))]. 17283 K(x,y * (z * a(u,w,K(v5,v6)))) != v7 | K(x,y * z) = v7. [para(12582(a,1),17282(a,1,2))]. 17285 K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. [para(14220(a,1),17282(a,1,2))]. 17286 K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,v5)))) = v6. [para(81(a,1),17283(a,1,2,2))]. 17287 T(x,K(y,z) * (u * (w * K(y,z)))) = T(x,u * w). [hyper(62,a,15255,a(flip),b,17265,a),flip(a)]. 17288 K(x * ((y * (z * u)) * K(w \ u,w)),v5) = K(x * (y * (z * ((w \ u) * w))),v5). [para(10583(a,1),17270(a,2,1,2,2))]. 17289 K(x,y * (K(z,u) * (w * v5))) = K(x,y * (w * (v5 * K(z,u)))). [hyper(15430,a,17272,a)]. 17290 K(x,y * (z * (u * K(w,v5)))) != v6 | K(x,y * (K(w,v5) * (z * u))) = v6. [para(17272(a,1),15430(a,1))]. 17291 K(x,y / (((K(z,u) * w) * v5) \ 1)) = K(x,y * (K(z,u) * (w * v5))). [hyper(13558,a,17273,a)]. 17292 K(x * (y * (z * (u * a(w,v5,K(v6,v7))))),v8) != v9 | K(x * (y * (z * u)),v8) = v9. [para(12582(a,1),17276(a,1,1,2,2))]. 17293 K(x,y / ((z \ 1) * (u \ K(w,v5)))) = K(x,y * (K(v5,w) * (u * z))). [para(13625(a,1),17291(a,1,2,2))]. 17294 K(x,y * (K(z,u) * (w * (v5 \ 1)))) = K(x,y / (v5 * (w \ K(u,z)))). [hyper(6486,a,17293,a),flip(a)]. 17295 K(x,y * (z * ((u \ 1) * K(w,v5)))) = K(x,y / (u * (z \ K(v5,w)))). [hyper(62,a,17289,a(flip),b,17294,a)]. 17296 K(x,y / (z * (u \ K(w,v5)))) = K(x,y * (u * (z \ K(v5,w)))). [para(13512(a,1),17295(a,1,2,2,2)),flip(a)]. 17297 K(x * ((y * z) * K(u,w \ 1)),v5) != v6 | K(x * (y * (z * K(u,(v7 * w) \ v7))),v5) = v6. [para(6719(a,1),17275(a,1,1,2,2))]. 17298 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). [hyper(7040,a,17278,a),flip(a)]. 17299 L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y). [hyper(286,a,17268,a(flip),b,17298,a),flip(a)]. 17300 K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). [hyper(11777,a,17299,a)]. 17302 K(x / (a(y,z,K(u,w)) * v5),v6) = K((x / v5) * a(w,z,K(u,y)),v6). [hyper(62,a,14433,a(flip),b,17300,a)]. 17304 K(x / (a(y,z,K(u,w)) * v5),v6) = K(x / v5,v6). [hyper(286,a,17261,a(flip),b,17302,a),flip(a)]. 17306 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [para(16659(a,1),17304(a,1,1,2))]. 17307 K(x,y / (z * a(u,w,K(v5,v6)))) = (v7 * K(y / z,x)) \ v7. [para(17306(a,1),6895(a,1,1,2)),flip(a)]. 17308 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(286,a,15072,a(flip),b,17307,a),flip(a)]. 17309 K(x,y / ((z * u) * K(w,v5))) = K(x,y / (z * (u * K(w,v5)))). [para(81(a,1),17308(a,1,2,2))]. 17310 K(x,y / (z * (u * K(w,v5)))) != v6 | K(x,y * ((z * u) \ K(v5,w))) = v6. [para(17309(a,1),15467(a,1))]. 17312 K(x / (y * a(z,u,K(w,v5))),T(v6,x)) = K(y \ (x * a(v5,u,K(w,z))),v6). [hyper(62,a,16694,a(flip),b,17252,a)]. 17313 K((x * a(y,z,K(u,w))) \ v5,v6) = K(x \ (v5 * a(w,z,K(u,y))),v6). [hyper(8254,a,17312,a)]. 17314 K(((x \ y) * x) / (a(z,u,K(w,v5)) * x),v6) = K(x \ (y * a(v5,u,K(w,z))),v6). [hyper(62,a,16671,a,b,17313,a)]. 17315 K((T(x,T(y / x,z)) * u) * w,v5) = K((x * u) * (w * K(x,x \ y)),v5). [hyper(16850,a,16997,a),flip(a)]. 17317 K(x,((y / z) \ (u * K(z \ y,u))) * w) = K(x,T(u / (y / z),K(z,y)) * w). [para(12175(a,2),17128(a,2,2,1))]. 17318 K(x,y * (K(z \ K(u,w),v5) * v6)) = K(x,y * (K(v5,z) * v6)). [hyper(286,a,17150,a(flip),b,17169,a),flip(a)]. 17319 K(x,y * (z * K(u \ K(w,v5),v6))) = K(x,y * (K(v6,u) * z)). [hyper(15453,a,17318,a)]. 17320 K(K(x * ((T(y,z) \ 1) * u),w) * v5,v6) = K(K(((x \ 1) / u) * y,w) * v5,v6). [hyper(286,a,14811,a(flip),b,17176,a),flip(a)]. 17321 K(x \ (y * a(z,u,K(w,v5))),v6) = K(((x \ y) * x) / x,v6). [hyper(62,a,17304,a(flip),b,17314,a),flip(a)]. 17323 K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). [para(11(a,1),17321(a,2,1))]. 17325 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(81(a,1),17323(a,1,1,2))]. 17326 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(16659(a,2),17323(a,1,1,2))]. 17327 T(x,y \ (a(z,u,K(w,v5)) * v6)) = (x * v7) / (K(y \ v6,x) * v7). [para(17326(a,1),5746(a,1,2,1)),flip(a)]. 17328 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(16950,a,17325,a),flip(a)]. 17329 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(210(a,1),17328(a,1,1))]. 17330 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7984,a,17329,a)]. 17331 K(L(x,K(y,z),u),w) = K(x,w). [hyper(15082,a,17330,a)]. 17332 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11807,a,17331,a)]. 17333 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11801,a,17331,a)]. 17338 K((x * y) / (x * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(62,a,16160,a(flip),b,17331,a)]. 17339 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(62,a,15552,a(flip),b,17331,a)]. 17340 K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). [hyper(62,a,14367,a(flip),b,17331,a)]. 17346 K(x,K(y,z) \ ((u / (y * z)) \ w)) = K(x,(u / (z * y)) \ w). [hyper(62,a,14611,a(flip),b,17332,a)]. 17347 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(17332(a,1),4659(a,2,2))]. 17348 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(17332(a,1),11753(a,1,2))]. 17349 (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). [para(17332(a,1),11841(a,1,2)),flip(a)]. 17350 K(x,L(y,z,L(u,K(w,v5),v6))) = a(y,z,K(x,u)) * K(x,y). [para(17332(a,1),14201(a,1,1,3)),flip(a)]. 17353 (K(x,y) * (x \ K(z,u))) * w = K(x,y) * ((x \ K(z,u)) * w). [para(17332(a,1),14444(a,1,1)),flip(a)]. 17355 (K(x,y) * K(z,u)) * (u \ w) = K(x,y) * (T(u,z) \ w). [para(17332(a,1),14443(a,1,1)),flip(a)]. 17356 K(x,y) * ((y \ K(z,u)) * w) = (T(y,x) \ K(z,u)) * w. [para(17332(a,1),14599(a,1,1))]. 17359 a(x,K(y,z),K(u,w)) = 1. [hyper(52,a,17333,a)]. 17364 K(a(x,K(y,z),u),w) = 1. [hyper(62,a,13769,a(flip),b,17359,a)]. 17365 x * a(y,K(z,u),K(w,v5)) != v6 | x = v6. [para(17359(a,2),124(a,1,2))]. 17366 T(a(x,K(y,z),u),w) = a(x,K(y,z),u). [hyper(55,a,17364,a)]. 17367 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(4730,a,17347,a),flip(a)]. 17369 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [para(17367(a,1),108(a,1,2))]. 17370 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(17365,a,15691,a),flip(a)]. 17371 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(17365,a,15236,a),flip(a)]. 17372 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(10241(a,1),17365(a,1))]. 17373 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(11746(a,1),17365(a,1))]. 17376 K(x,T(y \ (z * K(u,w)),v5)) != v6 | K(x,T((z \ y) \ K(u,w),v5)) = v6. [para(9850(a,1),17372(a,1))]. 17377 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(15427,a,17339,a)]. 17379 K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [hyper(62,a,16803,a(flip),b,17339,a)]. 17380 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(62,a,16764,a(flip),b,17339,a)]. 17381 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(6811(a,1),17339(a,1,1,1)),flip(a)]. 17382 K(((x * y) \ z) * K(L(u,y,x),w),v5) = K((x * (y * K(w,u))) \ z,v5). [para(11753(a,1),17339(a,1,1,1)),flip(a)]. 17383 K((K(x,y) * z) \ u,T(w,z)) = K((u / z) * K(y,x),w). [hyper(15780,a,17340,a)]. 17384 K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). [hyper(15413,a,17340,a)]. 17385 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(13762,a,17340,a),flip(a)]. 17387 K(((K(x,y) * z) / u) * K(y,x),w) = K(z / u,w). [hyper(62,a,16678,a(flip),b,17340,a),flip(a)]. 17388 K((x / (y \ z)) * K(y,u),w) = K(x / (T(y,u) \ z),w). [para(5741(a,1),17340(a,1,1,2)),flip(a)]. 17389 K((x / y) * K(z,u),w) != v5 | K(x * (y \ K(z,u)),w) = v5. [para(17340(a,1),13762(a,1))]. 17390 K((x / (y * z)) * K(L(u,y,z),w),v5) = K(x / ((K(w,u) * y) * z),v5). [para(14399(a,1),17340(a,1,1,2)),flip(a)]. 17392 x * (K(y,z) * K(u,T(w,x))) = K(u,w) * (x * K(y,z)). [hyper(62,a,15755,a(flip),b,17348,a),flip(a)]. 17393 L(x,K(y,z),K(u,w)) = x. [hyper(34,a,17209,a,b,17348,a(flip))]. 17399 L(x,K(y,z),K(u,w)) != v5 | x = v5. [para(17393(a,1),49(a,2))]. 17406 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (K(a(x,y,z),u) * v6). [para(13769(a,2),17370(a,1,1,1))]. 17407 K(K(x,T(y,z)) * (K(u,T(w,v5)) * v6),v7) = K(K(x,y) * (v6 * K(u,w)),v7). [para(17370(a,1),16994(a,1,1))]. 17411 x * (K(y,T(z,x)) * K(u,w)) = K(y,z) * (x * K(u,w)). [hyper(62,a,15755,a(flip),b,17371,a),flip(a)]. 17413 (x \ 1) * (K(y,z) * K(u,w)) = (x \ K(u,w)) * K(y,z). [para(13512(a,1),17371(a,1,1)),flip(a)]. 17414 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). [para(13769(a,2),17371(a,1,1,2))]. 17415 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(13769(a,2),17371(a,1,2))]. 17416 x * (K(y,z) * K(u,L(w,v5,v5 \ (x \ 1)))) = ((x / (v5 \ 1)) * (v5 \ K(u,w))) * K(y,z). [para(14573(a,1),17371(a,1,1)),flip(a)]. 17417 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(T(y,u),z),v5). [hyper(62,a,13799,a,b,17377,a)]. 17418 K((K(x,y) * z) / (K(x,y) * (K(u,w) * v5)),v6) = K((v5 \ z) * K(w,u),T(v6,v5)). [hyper(62,a,16773,a(flip),b,17377,a)]. 17419 K(((K(x,y) * z) \ u) * K(x,y),w) = K(z \ u,w). [para(5846(a,1),17377(a,1,1,1)),flip(a)]. 17420 K((((x * y) / x) * z) \ u,w) = K(((y * z) \ u) * K(y,x),w). [para(5840(a,1),17377(a,1,1,1))]. 17421 K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ 1)) * (z * K(u,w)),v5). [hyper(13741,a,17379,a),flip(a)]. 17422 K((x \ 1) * (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [hyper(13740,a,17379,a)]. 17423 K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). [para(6811(a,1),17379(a,1,1,2)),flip(a)]. 17424 K(((x \ 1) \ y) * K(z,u),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(17379(a,1),13551(a,1))]. 17425 K((x / (y * z)) * K(L(u,z,y),w),v5) = K(x / (y * (z * K(w,u))),v5). [para(11753(a,1),17384(a,1,1,2)),flip(a)]. 17426 K(x * (y \ K(z,K(u,w))),v5) = K(x / y,v5). [hyper(15375,a,17385,a),flip(a)]. 17427 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(u / w,y)) * K(x,y). [para(17426(a,1),14200(a,1,1,3)),flip(a)]. 17428 K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). [para(5846(a,1),17387(a,1,1,1,1)),flip(a)]. 17429 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),T(x,z)),v7) = K(v5 / v6,v7). [para(7791(a,1),17387(a,1,1,2))]. 17430 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v5 \ v6,y \ 1)). [para(17419(a,1),14261(a,1,2,3)),flip(a)]. 17431 K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). [hyper(286,a,17385,a(flip),b,17428,a),flip(a)]. 17432 K(x * (y \ K(z,u)),w \ 1) = K(y * (x \ K(u,z)),w). [hyper(13868,a,17431,a)]. 17433 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K(y * (x \ K(u,z)),T(w,y)). [hyper(62,a,15994,a(flip),b,17431,a)]. 17435 K(((x * y) / x) * K(z,u),w) = K(K(z,u) * y,T(w,x)). [hyper(62,a,17384,a(flip),b,17338,a)]. 17436 K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). [para(14185(a,1),17355(a,1,1)),flip(a)]. 17438 ((T(x,y) \ K(z,u)) * w) \ (K(y,x) * ((x \ K(z,u)) * (w * v5))) = L(L(v5,w,x \ K(z,u)),(x \ K(z,u)) * w,K(y,x)). [para(17356(a,1),430(a,1,1))]. 17439 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(16024,a,17381,a)]. 17440 K((x \ y) * K(z,u),T(w,x)) = K((y / x) * K(z,u),w). [hyper(62,a,17377,a(flip),b,17383,a)]. 17441 K(x,y / z) * (y * K(u,w)) = y * (K(u,w) * K(x,z \ y)). [para(7712(a,1),17392(a,1,2,2)),flip(a)]. 17442 K(x / y,z) * (x * K(u,w)) = x * (K(u,w) * K(y \ x,z)). [para(7729(a,1),17392(a,1,2,2)),flip(a)]. 17443 K(x \ y,z) * (y * K(u,w)) = y * (K(y / x,z) * K(u,w)). [para(8158(a,1),17411(a,1,2,1)),flip(a)]. 17445 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(16036,a,17423,a)]. 17446 K(K(x,y) * (z \ (u * x)),w) = K(z \ (u * T(x,y)),w). [hyper(15094,a,17423,a)]. 17447 K(x,y) * a(x,z,K(u * (w \ K(v5,v6)),y)) = K(x,L(y,z,(K(v5,v6) * u) * (w \ 1))). [para(17432(a,1),14317(a,1,2,3))]. 17448 K(T(x,y) * K(z,u),w) = K(K(z,u) * x,T(w,y)). [hyper(62,a,16072,a(flip),b,17435,a)]. 17449 K(K(x,y) * T(z,u),w) = K(K(y,x) * z,T(w,u)). [hyper(16036,a,17448,a)]. 17450 K((x * T(y,K(z,u))) \ w,v5) = K((x * y) \ w,v5). [hyper(15375,a,17439,a),flip(a)]. 17452 K((x \ y) * K(z,u),T(w,x)) = K(y * (x \ K(z,u)),w). [hyper(286,a,17385,a(flip),b,17440,a),flip(a)]. 17453 K((x * y) \ (z * T(x,y)),u) = K((y * x) \ (z * x),u). [para(11413(a,1),17446(a,1,1)),flip(a)]. 17454 K(K(K(x * ((y \ 1) \ z),u),w) * (v5 \ K(((y \ 1) \ z) * x,u)),v6) = K(v5 \ (K(u,K(x,y * z)) * T(K(x * ((y \ 1) \ z),u),w)),v6). [para(15249(a,1),17446(a,1,1,2,2))]. 17455 K(K(x,y) * (z \ u),T(w,z)) = K(u * (z \ K(y,x)),w). [hyper(16036,a,17452,a)]. 17456 K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. [para(17350(a,2),14311(a,1))]. 17459 K(x,K(y,z) * ((u / (z * y)) \ w)) = K(x,(u / (y * z)) \ w). [para(5839(a,1),17346(a,1,2))]. 17460 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (K(x,y) * (x \ K(z,u)))). [para(17353(a,1),5991(a,2,2)),flip(a)]. 17461 L(x,y,K(K(z,u) * (z \ K(w,v5)),K(z,u) * ((z \ K(w,v5)) * v6))) = L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)). [para(17353(a,1),13378(a,1,3,2))]. 17462 x * (K(y,z) * K(y \ x,u)) = T(x / y,u) * T(y,z). [hyper(6867,a,17442,a),flip(a)]. 17463 x * (K(y \ x,z) * K(y,u)) = T(x / y,z) * T(y,u). [hyper(15088,a,17462,a)]. 17464 T(x,y \ (a(z,u,K(w,v5)) * v6)) = T(x,y \ v6). [hyper(286,a,5746,a(flip),b,17327,a),flip(a)]. 17465 T(x,x \ y) = (x \ (a(z,u,K(w,v5)) * y)) \ (a(z,u,K(w,v5)) * y). [hyper(640,a,17464,a),flip(a)]. 17466 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (a(x,y,K(z,u)) * v6). [para(13769(a,2),17406(a,2,2,1))]. 17467 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). [para(13769(a,2),17414(a,2,2,2))]. 17468 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(13769(a,2),17415(a,2,2,1))]. 17469 K(((x \ 1) * K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). [hyper(286,a,15434,a(flip),b,17417,a),flip(a)]. 17471 K((x \ K(y,T(z,u))) * w,v5) = K((x \ w) * K(y,z),v5). [para(13512(a,1),17469(a,1,1,1))]. 17472 K((x \ K(y,z)) * u,w) = K((x \ u) * K(y,z),w). [para(107(a,1),17471(a,1,1,1,2,2))]. 17473 K((x \ y) * K(z,u),T(w,y)) = K(y * (x \ K(z,u)),w). [hyper(12102,a,17472,a),flip(a)]. 17474 K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w). [hyper(286,a,16010,a,b,17472,a),flip(a)]. 17475 K((x \ y) * K(z,u),T(w,y)) != v5 | K(y * (x \ K(z,u)),w) = v5. [para(17472(a,1),12102(a,1))]. 17476 K((x \ K(y,z)) * u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. [para(17472(a,2),16036(a,1))]. 17477 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(y,x)),w). [hyper(12102,a,17474,a),flip(a)]. 17478 K(K(x,y) * (z \ (K(x,y) * u)),w) = K(z \ u,w). [hyper(62,a,16978,a(flip),b,17474,a),flip(a)]. 17479 (x * y) / (K(K(z,u) * (w \ v5),x) * y) = T(x,(w \ K(u,z)) * v5). [para(17474(a,1),5746(a,1,2,1))]. 17480 (x * K(K(y,z) * (u \ w),v5)) \ x = K(v5,(u \ K(z,y)) * w). [para(17474(a,1),6895(a,1,1,2))]. 17481 ((x * y) / x) / ((x * (y * K(K(z,u) * (w \ v5),y))) / x) = K(y,T((w \ K(u,z)) * v5,x)). [para(17474(a,1),9290(a,1,2,1,2,2))]. 17482 K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(y,x)),w) = v5. [para(17474(a,1),12102(a,1))]. 17483 K(K(x,y) * ((z \ 1) \ u),w) = K((z * K(y,x)) * u,w). [para(13487(a,1),17474(a,1,1,1)),flip(a)]. 17484 a(x,y,K(K(z,u) * (w \ v5),v6)) * K(x,v6) = K(x,L(v6,y,(w \ K(u,z)) * v5)). [para(17474(a,1),14200(a,1,1,3))]. 17485 K(K(x,y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). [para(5715(a,1),17478(a,1,1,2,2))]. 17486 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x) * u),w). [hyper(286,a,16980,a(flip),b,17483,a),flip(a)]. 17487 K(K(x,x \ y) * (z \ (x \ u)),w) = K(z \ (T(x,y) \ u),w). [hyper(15297,a,17485,a)]. 17488 K(x \ K(y \ (T(z,u) \ w),v5),K(z,u) * (y \ (z \ w))) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). [para(17485(a,1),8519(a,1,1,2))]. 17489 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y \ 1,x) * u),w). [hyper(14807,a,17486,a)]. 17490 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(x \ y,x) * u),w). [hyper(62,a,13161,a(flip),b,17486,a)]. 17492 K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). [hyper(15158,a,17480,a),flip(a)]. 17493 K(x,K(y,z)) * K(z,x * (y \ K(u,w))) = K(z,K(w,u) * (y \ x)). [hyper(62,a,15962,a,b,17492,a)]. 17494 K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,w * (u \ K(z,y))). [para(17492(a,1),15963(a,1,1))]. 17495 K(x \ (T(y,y \ z) \ u),w) = K(x \ (T(y,z) \ u),w). [hyper(62,a,17485,a(flip),b,17487,a)]. 17496 K(x \ (((y \ z) \ z) \ u),w) = K(x \ (T(y,z) \ u),w). [para(109(a,1),17495(a,1,1,2,1))]. 17497 K((x \ 1) \ (T(y,z) \ u),w) = K(x * (((y \ z) \ z) \ u),w). [hyper(13551,a,17496,a),flip(a)]. 17498 K(K(x,y) * ((z \ 1) \ u),w) = K(z * (K(y,x \ 1) * u),w). [para(6458(a,1),17489(a,2,1,2,1))]. 17499 K(x * (K(y \ z,y) * u),w) = K(x * (K(z,y) * u),w). [hyper(62,a,17486,a(flip),b,17490,a),flip(a)]. 17500 K((x * ((y \ z) * y)) * u,w) = K((x * z) * (K(z,y) * u),w). [hyper(62,a,16984,a(flip),b,17499,a)]. 17501 K(x * (K(y,z) * (u * y)),w) = K(x * (u * ((z \ y) * z)),w). [hyper(62,a,15384,a(flip),b,17499,a),flip(a)]. 17502 K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(13551,a,17497,a),flip(a)]. 17503 K(x * (((y \ z) \ z) \ L(u,y \ 1,y)),w) = K(x * ((T(y,z) \ 1) * u),w). [para(6514(a,1),17502(a,2,1,2))]. 17504 K(x * (K(y,z \ 1) * u),w) = K(x * (K(y,z) * u),w). [hyper(62,a,17486,a(flip),b,17498,a),flip(a)]. 17505 K(((x \ 1) * y) * (K(y,x) * z),u) = K((y * (x \ 1)) * z,u). [para(11381(a,1),17504(a,1,1)),flip(a)]. 17506 K((x * ((y \ z) * y)) * u,w) = K((x * T(z,y)) * u,w). [hyper(286,a,16983,a(flip),b,17500,a),flip(a)]. 17507 K(x * (y * ((z \ u) * z)),w) = K(x * (y * T(u,z)),w). [hyper(62,a,15383,a(flip),b,17501,a),flip(a)]. 17508 K(((x \ 1) * T(y,x)) * z,u) = K((y * (x \ 1)) * z,u). [hyper(62,a,16983,a(flip),b,17505,a)]. 17509 K(((T(x,y) \ 1) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). [hyper(62,a,16818,a(flip),b,17508,a)]. 17510 K((x * T(y,x \ 1)) * z,u) = K((y * ((x \ 1) \ 1)) * z,u). [para(4893(a,1),17508(a,1,1,1,1))]. 17511 K((T(x,y) * T(z,T(x \ 1,y))) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). [para(8643(a,2),17510(a,1,1,1,2))]. 17512 K((x \ y) * K(z,(u / w) * v5),T(v6,y)) != v7 | K(y * (x \ K(z,T(w \ u,w) * v5)),v6) = v7. [para(14736(a,1),17475(a,1,1,2))]. 17513 K(x,y) * (a(z,u,K(w,v5)) * T(v6,a(z,u,K(w,v5)) * K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [hyper(262,a,17466,a),flip(a)]. 17514 T(x,(y \ K(z,u)) * w) = T(x,K(u,z) * (y \ w)). [hyper(5878,a,17479,a),flip(a)]. 17515 T(x,(K(y,z) / u) * w) = T(x,K(z,y) * (u \ w)). [hyper(62,a,15389,a(flip),b,17514,a)]. 17516 K(x,K(y,z)) * K(x,y * (z \ K(u,w))) = K(x,K(w,u) * (z \ y)). [para(8060(a,1),17493(a,1,1))]. 17517 K(x,y * K(z,K(u,w) * (v5 \ v6))) = K(x,y * K(z,v6 * (v5 \ K(w,u)))). [para(17493(a,1),15404(a,1,2,2))]. 17518 K(x,K(y,z \ u)) * K(x,y * (((u \ z) \ 1) \ K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). [para(6717(a,1),17516(a,1,1,2))]. 17519 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * ((z * K(x,y)) * K(w,v5))). [hyper(115,a,11753,a(flip),b,17349,a),flip(a)]. 17521 K((x * (y * K(z,u))) \ w,v5) = K(((x * y) \ w) * K(u,z),v5). [hyper(17089,a,17382,a),flip(a)]. 17522 K((x * (y * K(z,u))) \ w,v5) != v6 | K(((x * y) \ w) * K(u,z),v5) = v6. [para(17382(a,1),17089(a,1))]. 17523 K(T(x * (y * K(z,u)),K(w,v5)) \ v6,v7) = K(((x * y) \ v6) * K(u,z),v7). [hyper(15425,a,17521,a)]. 17524 K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * T(u,K(y,z))) \ w,v5). [para(8118(a,1),17521(a,1,1,1,2)),flip(a)]. 17525 K(x / ((K(y,z) * u) * w),v5) = K((x / (u * w)) * K(z,y),v5). [hyper(17089,a,17390,a),flip(a)]. 17526 K(x / ((K(y,z) * u) * w),v5) = K(x * ((u * w) \ K(z,y)),v5). [hyper(286,a,17385,a(flip),b,17525,a),flip(a)]. 17527 K(x * ((y \ 1) * (z \ K(u,w))),v5) = K(x * ((z * y) \ K(u,w)),v5). [hyper(62,a,13817,a,b,17526,a)]. 17528 K(x * ((y * x) \ K(z,u)),w) != v5 | K(y \ K(z,u),w) = v5. [para(17527(a,1),13546(a,1))]. 17529 K(x / (y * (z * K(u,w))),v5) = K((x / (y * z)) * K(w,u),v5). [hyper(17089,a,17425,a),flip(a)]. 17530 K(x / (y * (z * K(u,w))),v5) = K(x * ((y * z) \ K(w,u)),v5). [hyper(286,a,17385,a(flip),b,17529,a),flip(a)]. 17532 K(((x * K(y,z)) * u) \ x,T(w,u)) = K(x * ((u * x) \ K(z,y)),w). [hyper(62,a,15385,a,b,17530,a)]. 17533 K((x * (y * K(z,u))) * (((w \ x) * y) \ K(u,z)),v5) != v6 | K(w,L(v5,w \ x,y * K(z,u))) = v6. [para(17530(a,1),14415(a,1))]. 17534 K(K(x,T(y,z)) * (K(u,w) * v5),v6) = K(K(x,y) * (v5 * K(u,w)),v6). [hyper(16848,a,17407,a)]. 17535 K(K(x,y) * (z * K(u,y)),w) = K(y * (T(T(y,u),x) \ z),w). [hyper(62,a,17157,a(flip),b,17534,a),flip(a)]. 17537 K(((x \ 1) * x) / ((y \ K(z,u)) * x),w) = K((x \ K(u,z)) * y,w). [hyper(286,a,12087,a(flip),b,17433,a),flip(a)]. 17538 K(1 / ((x \ K(y,z)) * u),w) = K((u \ K(z,y)) * x,w). [para(4888(a,1),17537(a,1,1,1))]. 17539 K((x \ K(y,z)) * u,w \ 1) = K((u \ K(z,y)) * x,w). [hyper(6482,a,17538,a)]. 17541 K(K(x,y) * (z \ u),w \ 1) = K((u \ K(x,y)) * z,w). [hyper(17476,a,17539,a)]. 17542 K((x \ y) \ K(z,u),w) = K((y \ K(z,u)) * x,w). [hyper(16031,a,17541,a)]. 17543 K((x \ y) \ K(z,u),w) = K(K(u,z) * (y \ x),w). [hyper(286,a,17474,a(flip),b,17542,a),flip(a)]. 17544 K(x,y) * a(x,z,K(K(u,w) * (v5 \ v6),y)) = K(x,L(y,z,(K(w,u) * (v6 \ v5)) \ 1)). [para(17543(a,1),16041(a,1,2,3))]. 17545 K(x,y * K(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * y). [hyper(16006,a,17517,a),flip(a)]. 17546 K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,K(w \ u,z) * (y \ z)). [hyper(62,a,15284,a(flip),b,17545,a)]. 17547 K(x,y \ T(z,u * (w \ K(v5,v6)))) = K(x,y \ T(z,w \ u)). [hyper(286,a,15259,a(flip),b,17546,a),flip(a)]. 17548 K(x,(y / (K(z,u) * w)) \ T(v5,w \ y)) != v6 | K(x,v5 / (y / (K(z,u) * w))) = v6. [para(17547(a,1),13832(a,1))]. 17549 K(T(x * (T(y,x) * K(z,u)),K(w,v5)) \ v6,v7) = K(((y * x) \ v6) * K(u,z),v7). [para(108(a,1),17523(a,2,1,1,1))]. 17550 K(((x * (K(y,z) * u)) \ w) * K(y,z),v5) = K((x * u) \ w,v5). [hyper(286,a,17450,a(flip),b,17524,a),flip(a)]. 17552 K(((x * (y * z)) \ u) * K(w,y),v5) = K((x * (T(y,w) * z)) \ u,v5). [para(4644(a,1),17550(a,1,1,1,1,2))]. 17553 K((x * (K(y,z) * u)) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). [para(5846(a,1),17550(a,1,1,1,1,2)),flip(a)]. 17554 K(((x * (y * z)) \ u) * K(w,w \ y),v5) = K((x * (((w \ y) * w) * z)) \ u,v5). [para(11382(a,1),17553(a,1,1,1,2)),flip(a)]. 17555 (x * K(((y * z) \ u) * K(w,v5),T(v6,y * z))) \ x = K(v6,u / (y * (K(v5,w) * z))). [para(17553(a,1),15973(a,1,1,2))]. 17556 K(K(x,y) * ((z * (y * u)) \ w),v5) = K((z * (T(y,x) * u)) \ w,v5). [hyper(15094,a,17552,a)]. 17557 K(x * ((T(y,y \ z) \ 1) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [para(6517(a,1),17503(a,1,1,2))]. 17558 K(x,((y / z) \ (u * K(z \ y,u))) * w) != v5 | K(x,(u / (y / z)) * w) = v5. [para(17317(a,2),15415(a,1))]. 17559 K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / T(z,v6)) * y) * w,v5). [hyper(62,a,17088,a(flip),b,17320,a),flip(a)]. 17560 K(K(((x \ 1) / y) * z,u) * w,v5) = K(K(u,(x / z) * y) * w,v5). [para(107(a,1),17559(a,2,1,1,2,1,2))]. 17561 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(y / z) * x) * w,v5). [hyper(16096,a,17560,a)]. 17562 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,(z \ y) * x) * w,v5). [hyper(286,a,16127,a,b,17561,a),flip(a)]. 17563 K(K((x \ (y \ 1)) * z,u) * w,v5) = K(K(u,x * (z \ y)) * w,v5). [hyper(286,a,15439,a,b,17562,a),flip(a)]. 17564 K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,x * (z \ y)) * w,v5) = v6. [para(17562(a,2),15478(a,1))]. 17565 K(K((x \ (y \ 1)) * z,u) * w,v5) != v6 | K(K(u,(z \ y) * x) * w,v5) = v6. [para(17563(a,2),15478(a,1))]. 17566 K(K(x,(y \ (z \ 1)) * u) * w,v5) != v6 | K(K(x,(u \ z) * y) * w,v5) = v6. [para(16011(a,1),17565(a,1))]. 17568 K((K(x,y) * z) / (K(x,y) * (K(u,L(w,v5,v6)) * v7)),v8) = K((v7 \ z) * K(w,L(u,v5,v6)),T(v8,v7)). [para(11780(a,1),17418(a,1,1,2,2,1))]. 17569 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(L(y,u,w),x),v7) = K(v5 / v6,v7). [hyper(15428,a,17429,a)]. 17570 K(((K(x,L(T(y,z),u,w)) * v5) / v6) * K(y,x),v7) = K(v5 / v6,v7). [hyper(17089,a,17569,a)]. 17571 K((K(x,L(T(y,z),u,w)) * v5) * (v6 \ K(y,x)),v7) = K(v5 / v6,v7). [hyper(17389,a,17570,a)]. 17572 K(x * ((y \ K(z,u)) * K(u,L(T(z,w),v5,v6))),v7) = K(x / y,v7). [hyper(16998,a,17571,a)]. 17573 K(x * ((y \ K(z,u)) * K(u,L(z,w,v5))),v6) = K(x / y,v6). [para(107(a,1),17572(a,1,1,2,2,2,1))]. 17574 K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,K(v5,w) * (u \ v6))). [hyper(14251,a,17484,a),flip(a)]. 17576 K(x,L(y,z,K(u,w) * (w \ v5))) = K(x,L(y,z,K(w,u) * (w \ v5))). [hyper(62,a,14507,a(flip),b,17574,a),flip(a)]. 17577 K(x,L(y,z,K(u,w) * (u \ v5))) = K(x,L(y,z,T(u,w) \ v5)). [para(5741(a,1),17576(a,1,2,3)),flip(a)]. 17578 K(x,L(y,z,(u \ w) * K(u,v5))) = K(x,L(y,z,T(u,v5) \ w)). [para(16686(a,1),17577(a,1,2))]. 17579 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * ((T(x,y) \ 1) \ 1)) * u,w). [hyper(62,a,16818,a(flip),b,17511,a)]. 17581 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * T(x,y)) * u,w). [para(4893(a,1),17579(a,2,1,1,2))]. 17582 K(((K(x,y) * z) * u) \ w,v5) = K(((z * u) \ w) * K(y,x),v5). [para(16944(a,1),17549(a,1,1,1))]. 17583 K(x \ K(y,z),L(T(u,w * x),K(z,y) * x,w)) = K(((x * w) \ w) * K(y,z),u). [hyper(62,a,16216,a,b,17582,a)]. 17584 K(((x \ 1) * (y \ K(z,u))) * w,v5) = K(((y * x) \ w) * K(z,u),v5). [hyper(62,a,13802,a,b,17582,a)]. 17585 K((((x * y) * z) \ u) * K(w,x),v5) = K(((T(x,w) * y) * z) \ u,v5). [para(4675(a,1),17582(a,1,1,1,1)),flip(a)]. 17586 K(((x * K(y,z)) * u) \ w,v5) = K(((x * u) \ w) * K(z,y),v5). [hyper(62,a,15650,a(flip),b,17584,a)]. 17587 K(((x * (y \ 1)) \ z) * K(u,w),v5) = K((y * (x \ K(u,w))) * z,v5). [para(4893(a,1),17584(a,1,1,1,1)),flip(a)]. 17588 K(((x * y) \ x) * K(z,u),T(w,y)) = K(x * ((y * x) \ K(z,u)),w). [hyper(62,a,17532,a(flip),b,17586,a),flip(a)]. 17589 K((((x * y) * z) \ u) * K(w,y),v5) = K(((x * T(y,w)) * z) \ u,v5). [para(6811(a,1),17586(a,1,1,1,1)),flip(a)]. 17590 K((x * (y \ 1)) * (z * K(u,w)),v5) = K((x * (y \ K(u,w))) * z,v5). [hyper(62,a,17421,a(flip),b,17587,a)]. 17591 K(K(x,y) * ((z * u) \ z),w) = K(z * ((u * z) \ K(x,y)),w). [hyper(12208,a,17588,a)]. 17592 K(K(x,y) * ((z * u) \ z),w) != v5 | K(u \ K(x,y),w) = v5. [para(17591(a,2),17528(a,1))]. 17593 K(x * ((x * y) \ K(z,u)),w) != v5 | K(y \ K(u,z),T(w,x)) = v5. [para(17477(a,1),17592(a,1))]. 17594 K((x * (((y \ z) * y) * u)) \ w,v5) = K(K(y,z) * ((x * (z * u)) \ w),v5). [hyper(62,a,15226,a(flip),b,17554,a),flip(a)]. 17595 K((x * (((y \ z) * y) * u)) \ w,v5) = K((x * (T(z,y) * u)) \ w,v5). [hyper(286,a,17556,a(flip),b,17594,a),flip(a)]. 17596 K(x,(a(y,z,u) \ w) * a(u,z,K(v5,y))) = K(x,w / T(a(y,z,u),v5 \ 1)). [para(14275(a,1),16673(a,1,2,2))]. 17597 K(x,y / T(a(z,u,w),v5 \ 1)) = K(x,a(z,u,w) \ y). [hyper(17282,a,17596,a),flip(a)]. 17599 K(x,y / T(a(z,u,w),v5)) = K(x,a(z,u,w) \ y). [para(76(a,1),17597(a,1,2,2,2))]. 17601 K(x,y * T((R(z \ 1,u,u \ 1) \ 1) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [hyper(62,a,15601,a,b,17599,a)]. 17602 K(x,L(y,z,T(u,w))) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). [para(11780(a,1),16700(a,1,1))]. 17603 K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / ((z * x) * K(x,y))) * (z * x)) \ u. [hyper(11810,a,16737,a)]. 17604 K(x,L(y,z,(z * T(x,y)) \ u)) = ((u / (z * T(x,y))) * (z * x)) \ u. [para(6811(a,1),17603(a,2,1,1,2))]. 17605 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,(T(u,w) * z) \ (w \ v5))). [hyper(286,a,16595,a(flip),b,16747,a),flip(a)]. 17606 K(x * (y * a(z,x,K(y,u))),T(w,K(z,u))) = K(((K(z,u) * x) * y) * K(u,z),w). [para(6892(a,1),16898(a,2,1))]. 17607 K(K(x,y) * (z * (u * a(y * x,z,K(u,x)))),w) = K(z * (u * K(y * x,x)),w). [hyper(286,a,16985,a(flip),b,16901,a),flip(a)]. 17608 ((x * y) * K(z,T(u,x))) * a(z,x,K(y,T(u,x))) = (x * K(z,T(u,y * x))) * y. [para(14176(a,1),16910(a,1,2))]. 17609 (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. [para(16935(a,1),335(a,1)),flip(b)]. 17611 (a(x,y,K(z,u)) * w) * K(w * a(x,y,K(z,u)),v5) = T(a(u,y,K(z,x)) \ w,v5). [para(14204(a,1),16940(a,1,2,1))]. 17613 K(x,L(y,z,u)) * K(y,L(L(x,z,T(u,w)),v5,v6)) = a(y,v5,K(v6,L(x,z,u))). [para(16683(a,1),17602(a,1,1))]. 17615 K(x,L(y,z,u)) * K(y,L(L(x,w,v5),z,u)) = a(y,w,K(v5,L(x,z,u))). [para(16697(a,1),17613(a,1,2))]. 17616 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(14310,a,17615,a)]. 17617 a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(62,a,14447,a,b,17616,a)]. 17618 a(R(x,y,z),x,K(u,w)) = 1. [hyper(286,a,14173,a(flip),b,17617,a),flip(a)]. 17619 L(K(x,y),z,R(z,u,w)) = K(x,y). [hyper(51,a,17618,a)]. 17620 K(x,L(y,z,R(z,u,w))) = K(x,y). [hyper(11777,a,17619,a)]. 17621 K(x,L(y,z,L(z,u,w))) = K(x,y). [hyper(14490,a,17620,a)]. 17622 K(x,K(y,L(z,T(u,w),w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). [hyper(286,a,16880,a(flip),b,17605,a),flip(a)]. 17624 K(x,K(y,L(z,u,w) \ ((u * w) \ v5))) = K(x,K(y,z \ (u \ (w \ v5)))). [para(11390(a,1),17622(a,1,2,2,1))]. 17625 K(((K(x,y) * z) * u) * K(y,x),w) = K(z * (u * a(x,z,K(u,y))),w). [hyper(15082,a,17606,a),flip(a)]. 17627 K(((K(x,y) * z) * u) * K(y,x),w) = K(z * u,w). [hyper(286,a,17264,a(flip),b,17625,a),flip(a)]. 17629 K(((x * y) * z) * K(x,u),w) = K((T(x,u) * y) * z,w). [para(4644(a,1),17627(a,1,1,1,1))]. 17630 K(K(x,y) * ((x * z) * u),w) = K((T(x,y) * z) * u,w). [hyper(15094,a,17629,a)]. 17631 K((T(x,y) * y) * z,u) = K((y * x) * z,u). [hyper(62,a,16019,a(flip),b,17629,a),flip(a)]. 17632 K((x * y) * z,T(u,x * y)) = K(z * (T(y,x) * x),u). [hyper(12134,a,17631,a),flip(a)]. 17633 K((T(x,y) * T(y,z)) * u,w) = K((T(y,z) * x) * u,w). [hyper(62,a,15464,a(flip),b,17631,a)]. 17634 K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). [para(110(a,1),17631(a,1,1,1,1))]. 17635 K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(((x \ 1) * (x * y)) * z,u). [para(3892(a,1),17631(a,1,1,1,1))]. 17636 K((T(x,T(y,z)) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). [para(8316(a,1),17631(a,1,1,1,1))]. 17637 K((T(K(x \ y,x),z * y) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). [para(10583(a,1),17631(a,2,1,1))]. 17638 K((T(x,y * z) * T(z * y,y)) * u,w) = K((T(z * y,y) * x) * u,w). [para(12065(a,1),17631(a,1,1,1,1))]. 17639 K((T(x,T(y,z)) * ((z \ y) * z)) * u,w) = K((((z \ y) * z) * x) * u,w). [para(12110(a,1),17631(a,1,1,1,1))]. 17640 K(((x \ y) * x) * z,u) = K(T(y,x) * z,u). [hyper(286,a,16071,a(flip),b,17634,a),flip(a)]. 17641 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [hyper(12095,a,17632,a),flip(a)]. 17642 K(x * (T(y,z) * z),u) != w | K(x * (z * y),u) = w. [para(17632(a,1),12095(a,1))]. 17643 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [para(110(a,1),17641(a,1,1,2,1))]. 17644 K(x * (T(y,T(z,u)) * ((u \ z) * u)),w) = K(x * (((u \ z) * u) * y),w). [para(12110(a,1),17641(a,1,1,2,1))]. 17645 K(x * (T(y,z) * (z * a(u,w,K(v5,v6)))),v7) = K(x * ((z * a(u,w,K(v5,v6))) * y),v7). [para(17251(a,1),17641(a,1,1,2,1))]. 17646 K(x * ((y \ z) * y),u) = K(x * T(z,y),u). [hyper(286,a,16129,a(flip),b,17643,a),flip(a)]. 17647 K(x * T(y * z,y),u) = K(x * (z * y),u). [para(9(a,1),17646(a,1,1,2,1)),flip(a)]. 17648 K(x * T(y * K(z,u),z),w) = K(x * ((z \ y) * T(z,u)),w). [para(7647(a,1),17646(a,1,1,2)),flip(a)]. 17649 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,((x * y) \ z) * y)). [para(17646(a,1),14938(a,1,1)),flip(a)]. 17650 K(x * T((y \ 1) * z,y),u) = K(x * (z * (y \ 1)),u). [hyper(15626,a,17647,a)]. 17651 K(K(x,y) * (z * u),T(w,z)) = K(K(y,x) * (u * z),w). [hyper(62,a,17449,a(flip),b,17647,a)]. 17652 K(x * (T(y,z * T(u,w)) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. [para(15614(a,1),17642(a,1,1,2,1))]. 17653 K(((((x * y) \ y) \ y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). [para(4913(a,1),17635(a,2,1,1))]. 17654 K((T(x,y) * ((z * y) / z)) * u,w) = K((((z * y) / z) * x) * u,w). [hyper(62,a,15464,a(flip),b,17636,a)]. 17656 K((T(x,T(y,z)) * T(y,z)) * u,w) = K((((z \ y) * z) * x) * u,w). [hyper(62,a,17506,a(flip),b,17639,a)]. 17657 K((((x \ y) * x) * z) * u,w) = K((T(y,x) * z) * u,w). [hyper(62,a,17631,a(flip),b,17656,a),flip(a)]. 17658 K(x,K((T(y,z) * u) * w,((((z \ y) * z) * u) * w) * v5)) = K(x,K((((z \ y) * z) * u) * w,v5)). [para(17657(a,1),8671(a,1,2))]. 17659 K(x * ((((y \ z) * y) * u) * w),v5) * K(x,K((T(z,y) * u) * w,v5)) = K(((((y \ z) * y) * u) * w) * x,v5). [para(17657(a,1),12158(a,1,2,2))]. 17660 K(x * (T(y,T(z,u)) * T(z,u)),w) = K(x * (((u \ z) * u) * y),w). [hyper(62,a,17507,a(flip),b,17644,a)]. 17661 K(x * (((y \ z) * y) * u),w) = K(x * (T(z,y) * u),w). [hyper(17642,a,17660,a),flip(a)]. 17663 K((K(x \ y,T(x,z * y)) * (z * y)) * u,w) = K((z * ((x \ y) * x)) * u,w). [para(7723(a,2),17637(a,1,1,1,1))]. 17664 K(x * (y * K(z * u,u)),w) = K(K(u,z) * (x * y),w). [hyper(17276,a,17607,a),flip(a)]. 17666 K(x * (y * (z * K(u * w,w))),v5) = K(K(w,u) * (x * (y * z)),v5). [hyper(17275,a,17664,a)]. 17667 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,x) \ u),w). [hyper(62,a,17200,a(flip),b,17664,a),flip(a)]. 17668 (a(x,y,K(z,u)) * w) * K(w,v5) = T(a(u,y,K(z,x)) \ w,v5). [para(17261(a,1),17611(a,1,2))]. 17669 T(a(x,y,K(z,u)) \ w,v5) = a(u,y,K(z,x)) * T(w,v5). [hyper(6868,a,17668,a),flip(a)]. 17671 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [para(14197(a,1),17669(a,1,1))]. 17672 T(a(x,y,K(z,u)) * w,v5) = T(w,v5) * a(x,y,K(z,u)). [hyper(286,a,16659,a(flip),b,17671,a),flip(a)]. 17673 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(16659(a,1),17671(a,1,1))]. 17676 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = y * T(a(z,u,K(w,v5)) * x,y). [para(17672(a,2),12583(a,2,2))]. 17677 T(K(x,y) * a(z,u,K(w,v5)),v6) = a(z,u,K(w,v5)) * K(x,T(y,v6)). [hyper(8515,a,17673,a(flip)),flip(a)]. 17678 (x * y) * a(z,u,K(w,L(v5,T(x,y),y))) = (a(z,u,K(w,v5)) * x) * y. [hyper(286,a,108,a(flip),b,17676,a),flip(a)]. 17679 (a(x,y,K(z,u)) * z) * w = (z * w) * a(x,y,K(z,u)). [hyper(62,a,12585,a(flip),b,17678,a),flip(a)]. 17680 (a(x,y,K(z,u)) * z) * w = z * (w * a(x,y,K(z,u))). [hyper(286,a,12587,a(flip),b,17679,a),flip(a)]. 17681 (x * a(y,z,K(x,u))) * w = x * (w * a(y,z,K(x,u))). [para(10237(a,1),17680(a,1,1))]. 17682 K(x * K(y,z),x \ (K(y,T(z,u)) * w)) = K(x * K(y,z),w / (K(z,T(y,u)) * x)). [para(7777(a,1),16776(a,1,2,2,1))]. 17683 R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * (u * a(x,z,K(u,y)))). [hyper(62,a,10436,a(flip),b,16899,a)]. 17684 T(K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u). [para(16924(a,2),15064(a,1,1))]. 17685 x \ (y * T(x * K(z,K(y * x,u * w)),K(z,u \ w))) = T(y,K(w \ u,z) * x). [para(14984(a,1),16928(a,1,2,2,1,2))]. 17686 K(x * ((K(y,z \ 1) * (z \ y)) * u),w) = K(x * (((y \ (z \ y)) * y) * u),w). [para(4639(a,1),17165(a,1,1,2,1))]. 17687 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (((z \ (y \ z)) * z) * u),w). [para(6466(a,1),17686(a,1,1,2,1))]. 17688 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * (T(y \ z,z) * u),w). [hyper(286,a,17661,a(flip),b,17687,a),flip(a)]. 17689 K(T(x,T(y,z) \ u) * (K(y,z) * (y \ u)),w) = K((((z * y) / z) \ u) * x,w). [para(14731(a,1),17199(a,1,1,1))]. 17690 K(T(x,T(y,z) \ u) * (T(y,z) \ u),w) = K((((z * y) / z) \ u) * x,w). [hyper(17193,a,17689,a)]. 17691 K((((x * y) / x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(12127,a,17690,a),flip(a)]. 17692 K((T(x,y) \ T(y,x)) * z,u) = K((x \ y) * z,u). [para(989(a,1),17691(a,1,1,1)),flip(a)]. 17693 K(((T(x * y,K(y,z)) / y) \ u) * w,v5) = K((T(T(x,T(y,z)),y) \ u) * w,v5). [para(7095(a,2),17691(a,1,1,1,1,1))]. 17694 K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((T(x,K(y,z)) \ u) * w,v5). [para(10902(a,1),17693(a,1,1,1,1)),flip(a)]. 17695 K((T(T(x,T(y,z)),y) \ u) * w,v5) = K((x \ u) * w,v5). [hyper(286,a,16798,a(flip),b,17694,a),flip(a)]. 17697 K((T(T(x,y),T(y,z)) \ u) * w,v5) = K((x \ u) * w,v5). [para(23(a,1),17695(a,1,1,1,1))]. 17698 K(x,L(y,z,(K(u,w) * v5) * (v6 \ 1))) = K(x,L(y,z,v5 * (v6 \ K(u,w)))). [hyper(14202,a,17447,a),flip(a)]. 17699 K(x,L(y,z,(K(u,w) * (v5 \ v6)) \ 1)) = K(x,L(y,z,K(w,u) * (v6 \ v5))). [hyper(14202,a,17544,a),flip(a)]. 17700 K(x,L(y,z,(u \ w) \ K(v5,v6))) = K(x,L(y,z,K(v5,v6) * (w \ u))). [para(13570(a,1),17699(a,1,2,3))]. 17701 (x * K(y * ((z * u) \ K(w,v5)),v6)) \ x = K(v6,y / (z * (K(v5,w) * u))). [para(17452(a,1),17555(a,1,1,2))]. 17702 K(x / (y * (K(z,u) * w)),v5) = K(x * ((y * w) \ K(u,z)),v5). [hyper(15231,a,17701,a),flip(a)]. 17703 K(x,y / (z * (K(u,w) * v5))) != v6 | K(x,y * ((z * v5) \ K(w,u))) = v6. [para(17701(a,1),6902(a,1))]. 17704 (x * y) / (K(z * ((u * w) \ K(v5,v6)),x) * y) = T(x,z / (u * (K(v6,v5) * w))). [para(17702(a,1),5746(a,1,2,1))]. 17705 K(x \ K(y * ((z * u) \ K(w,v5)),v6),y / (z * (K(v5,w) * u))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). [para(17702(a,1),8519(a,1,1,2))]. 17706 T(x,y / (z * (K(u,w) * v5))) = T(x,y * ((z * v5) \ K(w,u))). [hyper(5878,a,17704,a),flip(a)]. 17707 K(x,T(y,z / (u * (K(w,v5) * v6)))) = K(x,T(y,z \ (u * v6))). [para(17706(a,2),15796(a,1,2))]. 17708 K(x,T(y,(z * (K(u,w) * v5)) \ v6)) = K(x,T(y,v6 \ (z * v5))). [hyper(15265,a,17707,a)]. 17710 K(x,y * T(L((z \ 1) \ 1,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(6677(a,2),17601(a,1,2,2,1,1))]. 17711 K(x * (T(y,z) * z),u) = K(x * ((z * a(w,v5,K(v6,v7))) * y),u). [hyper(17276,a,17645,a)]. 17712 K(x * ((y * a(z,u,K(w,v5))) * v6),v7) = K(x * (y * v6),v7). [hyper(17642,a,17711,a),flip(a)]. 17714 K(x * (((y * z) * K(u,w)) * v5),v6) = K(x * ((y * (z * K(u,w))) * v5),v6). [para(81(a,1),17712(a,1,1,2,1))]. 17715 K(x * ((y * (z * a(u,w,K(v5,v6)))) * K(v7,L(v8,y,z * a(u,w,K(v5,v6))))),v9) = K(x * (z * (T(y,z * a(u,w,K(v5,v6))) * K(v7,v8))),v9). [para(11772(a,2),17712(a,1,1,2))]. 17716 x \ (y * T(x * K(z,K(y * x,u * w)),K(z,w * u))) = T(y,K(w \ u,z) * x). [para(14985(a,1),17685(a,1,2,2))]. 17717 K(x,y * T(L(z,u \ 1,u) / z,w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(4893(a,1),17710(a,1,2,2,1,1,1))]. 17718 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,a(z \ 1,u,u \ 1) \ y). [para(4565(a,2),17717(a,1,2,2,1))]. 17719 K(x,a(y \ 1,z,z \ 1) \ u) != w | K(x,u * T(y \ L(y,z \ 1,z),v5)) = w. [para(17718(a,1),13144(a,1))]. 17720 x \ T(y * T(x,K(z,u * w)),K(z,w * u)) = T(y,K(u \ w,z) * x). [para(16908(a,1),17716(a,1,2))]. 17721 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(15567,a,17720,a),flip(a)]. 17722 x \ T(x,K(y * z,u) * w) = K(x,K(y \ z,u) * w). [hyper(115,a,17721,a(flip),b,4659,a(flip))]. 17723 x / T(x,K(y * z,u) * w) = K(K(y \ z,u) * w,x). [para(17721(a,1),4617(a,2,2)),flip(a)]. 17724 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(4728,a,17722,a),flip(a)]. 17725 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(17722(a,1),4728(a,1))]. 17726 K(x,K(y * z,u) * (w * (v5 / u))) = K(x,w * (v5 / T(u,y \ z))). [hyper(62,a,17053,a(flip),b,17724,a),flip(a)]. 17727 K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). [hyper(4697,a,17723,a),flip(a)]. 17728 K(K(x * y,z) * u,w) = K(u * K(x \ y,z),w). [hyper(15093,a,17727,a),flip(a)]. 17729 K((x / y) * K(z \ u,y),w) = K(x / T(y,z * u),w). [hyper(15162,a,17728,a),flip(a)]. 17730 K(x / T(y,z \ u),w) = K(x / T(y,z * u),w). [para(6605(a,1),17729(a,1,1))]. 17731 (x * K(y / T(z,u * w),v5)) \ x = K(v5,y / T(z,u \ w)). [para(17730(a,1),6895(a,1,1,2))]. 17732 K(x \ K(y / T(z,u * w),v5),y / T(z,u \ w)) = K(x,(y / T(z,u \ w)) \ 1). [para(17730(a,1),8519(a,1,1,2))]. 17733 K(x,y / T(z,u \ w)) = K(x,y / T(z,u * w)). [hyper(15158,a,17731,a),flip(a)]. 17734 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(17731(a,1),6902(a,1))]. 17735 K(x,y * (z / T(u,w \ v5))) = K(x,y * (z / T(u,w * v5))). [hyper(62,a,17053,a(flip),b,17726,a),flip(a)]. 17736 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(62,a,17124,a(flip),b,17735,a),flip(a)]. 17737 K(x \ K(y / T(z,u * w),v5),y / T(z,u * w)) = K(x,(y / T(z,u \ w)) \ 1). [hyper(17734,a,17732,a)]. 17738 K(x,(y / T(z,u \ w)) \ 1) = K(x,(y / T(z,u * w)) \ 1). [hyper(15373,a,17737,a),flip(a)]. 17739 K(x,(y / T(z,u \ w)) \ 1) = K(x,T(z,u * w) / y). [hyper(286,a,5964,a(flip),b,17738,a),flip(a)]. 17740 K(x,T(y,z \ u) / w) = K(x,T(y,z * u) / w). [hyper(7036,a,17739,a)]. 17741 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,y * z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(17740(a,1),16169(a,1,2))]. 17742 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,w,x * K(y,K(z,u))). [para(16814(a,1),16829(a,1,2))]. 17744 K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * ((y * z) * K(u,v5)),v6). [hyper(17297,a,16996,a)]. 17745 K(x * (y * (z * K(u,(w * v5) \ w))),v6) = K(x * (y * (z * K(u,v5))),v6). [hyper(286,a,17270,a(flip),b,17744,a),flip(a)]. 17746 K(x * (y * (z * K(u,w \ 1))),v5) = K(x * (y * (z * K(u,w))),v5). [para(7(a,1),17745(a,1,1,2,2,2,2,1))]. 17747 K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * (u * K(u * z,z))),w). [para(10660(a,2),17746(a,1,1,2,2))]. 17748 K(K(x,y) * (z * (u * y)),w) = K(z * (u * (((x \ 1) \ y) * (x \ 1))),w). [hyper(286,a,17666,a(flip),b,17747,a)]. 17749 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(y \ (x \ 1),u)). [para(14184(a,1),17416(a,1,2)),flip(a)]. 17750 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(z,y,K(x * y,u \ 1)). [para(13530(a,1),17749(a,2,2,3))]. 17751 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = x * a(x * y,y,K(z,u)). [para(14193(a,1),17750(a,2,2))]. 17752 L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,y,v5 * K(z,K(u,w))). [hyper(751,a,17742,a)]. 17753 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [para(16627(a,1),17752(a,1,1))]. 17754 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,y) * a(x,z,K(v6 \ v5,y)). [para(6787(a,1),17430(a,2,2,3))]. 17755 K(x,L(y,z,(((K(u,w) * v5) \ v6) * K(u,w)) \ 1)) = K(x,L(y,z,v6 \ v5)). [hyper(286,a,14198,a(flip),b,17754,a),flip(a)]. 17756 K(x,L(y,z,K(u,w) / ((K(w,u) * v5) \ v6))) = K(x,L(y,z,v6 \ v5)). [para(13591(a,1),17755(a,1,2,3))]. 17757 K(x,L(y,z,((K(u,w) * v5) \ v6) \ K(w,u))) = K(x,L(y,z,v6 \ v5)). [hyper(62,a,16698,a,b,17756,a)]. 17758 K(x,L(y,z,K(u,w) * (v5 \ (K(w,u) * v6)))) = K(x,L(y,z,v5 \ v6)). [hyper(62,a,17700,a(flip),b,17757,a)]. 17759 K(x,T((y \ K(z,u)) * w,v5)) = K(x,T(K(u,z) * (y \ w),v5)). [hyper(9291,a,17481,a),flip(a)]. 17761 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = (u * z) \ (u * (z * (K(w,v5) * K(x,y)))). [para(17371(a,1),17519(a,2,2,2))]. 17762 K(x,L(y,z,u)) * K(w,L(v5,z * K(x,y),u)) = L(K(w,v5) * K(x,y),z,u). [hyper(286,a,18,a,b,17761,a),flip(a)]. 17763 K(x,K(y,y * z)) * (K(y,y * z) * u) = (y \ R(y,z,y)) \ (K(y,T(z,x)) * u). [para(10895(a,1),17223(a,1,2)),flip(a)]. 17764 (x \ R(x,y,x)) \ (K(x,T(y,z)) * u) = K(x,T(x * y,z)) * u. [hyper(9319,a,17763,a),flip(a)]. 17765 K(x,T(y * T(x,z),z)) = K(x,T(x * y,z)). [hyper(11245,a,17764,a)]. 17766 a(x,x \ (((y \ z) * y) \ y),x) * K(x,T(y,z) / z) = K(x,x \ (T(y,y \ z) / z)). [para(15488(a,1),17741(a,1,2))]. 17767 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,y \ z) / z)). [para(13093(a,1),17766(a,1,2))]. 17768 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,K(v5,z) * (y * ((z \ u) * w))). [hyper(17042,a,17067,a),flip(a)]. 17770 K(x,K(y,z) * (u * ((z \ w) * v5))) = K(x,u * ((T(z,y) \ w) * v5)). [para(14600(a,1),17768(a,1,2,2)),flip(a)]. 17771 K(x,K(y,z) * (u * ((y \ w) * v5))) = K(x,u * ((T(y,z) \ w) * v5)). [hyper(14721,a,17770,a)]. 17772 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ (y \ T(z * T(y,K(v5,v6)),K(v5,v6)))) * w). [hyper(286,a,17062,a(flip),b,17120,a)]. 17774 K(x,(y \ (z \ T(u * T(z,K(w,v5)),K(w,v5)))) * v6) = K(x,(y \ T(u,z)) * v6). [hyper(62,a,17073,a(flip),b,17772,a),flip(a)]. 17775 K(x,(y \ T(z,K(u,w) * v5)) * v6) = K(x,(y \ T(z,v5)) * v6). [para(14707(a,1),17774(a,1,2,1,2))]. 17776 K(K(x,L(y,z,u)) * (w * K(y,L(v5,z,u))),v6) = K(L(y,z,u) * (T(L(T(y,x),z,u),v5) \ w),v6). [para(11780(a,1),17172(a,1,1,2,2))]. 17777 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(z,K(x,y)) * v5) \ (x * y)). [para(15062(a,1),17181(a,1,1)),flip(a)]. 17778 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * ((K(x,K(y,z)) * v5) \ (x * y)). [para(8060(a,2),17777(a,2,2,1,1))]. 17780 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ (T(x,K(y,z)) * y)). [para(16800(a,1),17778(a,2,2))]. 17781 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = 1 * (v5 \ T(x * y,K(y,z))). [para(10901(a,2),17780(a,2,2,2))]. 17782 (T(T(K(x,y),z),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). [hyper(286,a,7,a(flip),b,17781,a),flip(a)]. 17783 (T(K(x,T(y,z)),K(u,w)) \ v5) \ (y * x) = v5 \ T(x * y,K(y,z)). [para(7723(a,2),17782(a,1,1,1,1))]. 17784 (K(x,T(y,z)) \ u) \ (y * x) = u \ T(x * y,K(y,z)). [para(107(a,1),17783(a,1,1,1))]. 17785 (K(x,T(y,z)) * u) \ (x * y) = u \ T(y * x,K(x,z)). [para(7809(a,1),17784(a,1,1))]. 17786 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * (((u \ z) \ 1) \ y)). [para(13487(a,1),17518(a,1,2,2,2))]. 17787 K((x \ y) * K(z,L(u,w,v5)),T(v6,x)) = K(y / (K(u,L(z,w,v5)) * x),v6). [hyper(62,a,16678,a(flip),b,17568,a),flip(a)]. 17788 K(x / (K(y,L(z,u,w)) * v5),v6) = K(K(z,y) * (v5 \ x),T(v6,v5)). [hyper(17112,a,17787,a),flip(a)]. 17790 K(x / (K(y,L(z,u,w)) * v5),v6) = K(x * (v5 \ K(y,z)),v6). [hyper(286,a,17455,a(flip),b,17788,a),flip(a)]. 17791 K(x * (y \ K(L(z,u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). [hyper(13762,a,17790,a)]. 17792 K(x * (y \ K(z,L(u,w,v5))),v6) = K(x * (y \ K(u,z)),v6). [para(10748(a,1),17791(a,1,1,2,2))]. 17793 K(x * (y \ K(z,L(u * w,v5,v6))),v7) = K(x * (y \ K(w * u,z)),v7). [hyper(286,a,16207,a,b,17792,a),flip(a)]. 17794 T(x,y * (z \ K(u,L(w,v5,v6)))) = (x * v7) / (K(y * (z \ K(w,u)),x) * v7). [para(17792(a,1),5746(a,1,2,1)),flip(a)]. 17795 K(x,y * (z \ K(u,L(w,v5,v6)))) = (v7 * K(y * (z \ K(w,u)),x)) \ v7. [para(17792(a,1),6895(a,1,1,2)),flip(a)]. 17796 K(x * (y \ K(z \ L(u \ 1,u,w),L(v5,v6,v7))),v8) = K(x * (y \ K(v5,z \ ((w * u) \ w))),v8). [para(7167(a,1),17792(a,2,1,2,2))]. 17797 K(x * (y * K(z,L(u,w,v5))),v6) = K(x * ((y \ 1) \ K(u,z)),v6). [para(13487(a,1),17792(a,1,1,2))]. 17798 K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,(z / u) * w)),v6). [para(13912(a,1),17792(a,1,1,2,2))]. 17799 K(x * (y * K(z,L(u,w,v5))),v6) = K(x * (y * K(u,z)),v6). [para(13487(a,1),17797(a,2,1,2))]. 17800 K(x * ((y \ K(z,u)) * K(z,u)),w) = K(x / y,w). [hyper(62,a,17573,a(flip),b,17799,a),flip(a)]. 17801 K(x * (K(y,z) * (u \ K(y,z))),w) = K(x / u,w). [hyper(62,a,16876,a(flip),b,17800,a)]. 17802 K(x * (y \ K(z * u,w)),v5) = K(x * (y \ K(w,u * z)),v5). [para(334(a,1),17793(a,1,1,2,2,2)),flip(a)]. 17803 K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(w,u))) = v7. [para(17795(a,2),6902(a,1))]. 17804 K(x,y * (z \ K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(334(a,1),17803(a,1,2,2,2,2))]. 17805 T(x,y * (z \ K(u,L(w,v5,v6)))) = T(x,y * (z \ K(w,u))). [hyper(286,a,5746,a(flip),b,17794,a),flip(a)]. 17806 K(x,K(((((y \ z) * y) * u) * w) * v5,w * (z * u))) = K(x,K((((y \ z) * y) * u) * w,v5)). [hyper(62,a,15912,a(flip),b,17658,a)]. 17808 T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,(y \ z) \ 1)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). [para(6458(a,1),17684(a,1,1,2,2))]. 17809 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,L(x,y,z)) * (v5 * K(w,x)),v6). [hyper(62,a,17799,a(flip),b,17776,a),flip(a)]. 17811 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(K(u,x) * (v5 * K(w,x)),v6). [hyper(286,a,17078,a(flip),b,17809,a),flip(a)]. 17813 K(L(x,y,z) * (T(L(T(x,u),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u) \ v5),v6). [hyper(286,a,17535,a(flip),b,17811,a),flip(a)]. 17814 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u \ ((v5 * w) \ v5))),v6). [hyper(62,a,17792,a(flip),b,17796,a)]. 17815 K(x,K(y,T((z * (u \ w)) * v5,v6))) = K(x,K(y,w \ ((z \ L(v5 \ 1,v5,z * (u \ w))) * u))). [hyper(286,a,15015,a,b,16913,a)]. 17816 K(x,K(y,z \ ((u \ L(w \ 1,w,u * (v5 \ z))) * v5))) = K(x,K(y,w * (u * (v5 \ z)))). [para(12070(a,1),17815(a,1,2)),flip(a)]. 17817 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(K(x,u * (z * y)),v8 * v9). [hyper(286,a,13599,a(flip),b,17228,a),flip(a)]. 17818 K(K(x,y \ (z \ (u \ a(w,v5,K(v6,v7))))),v8 * v9) = K(x,K(u * (z * y),v8 * v9)). [hyper(286,a,8032,a(flip),b,17817,a),flip(a)]. 17819 K(x,K(y \ (z \ (u \ a(w,v5,K(v6,v7)))),v8 * v9)) = K(x,K(u * (z * y),v8 * v9)). [hyper(8240,a,17818,a)]. 17820 K(x,y) * (a(z,u,K(w,v5)) * T(v6,K(x,y))) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [para(17257(a,1),17513(a,1,2,2))]. 17822 K(x,y) * T(a(z,u,K(w,v5)) * v6,K(x,y)) = v6 * (a(z,u,K(w,v5)) * K(x,y)). [para(17671(a,2),17820(a,1,2))]. 17823 (a(x,y,K(z,u)) * w) * K(v5,v6) = w * (a(x,y,K(z,u)) * K(v5,v6)). [hyper(262,a,17822,a)]. 17824 ((x * y) \ 1) * (a(z,x,K(y,u)) * K(z,u)) = ((K(u,z) * x) * y) \ 1. [hyper(62,a,17000,a(flip),b,17823,a),flip(a)]. 17825 (x * (y * a(z,u,K(y,w)))) * K(v5,v6) = (x * y) * (a(z,u,K(y,w)) * K(v5,v6)). [para(16727(a,1),17823(a,1,1))]. 17826 ((x * y) \ 1) * K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [para(14200(a,1),17824(a,1,2))]. 17827 (x * y) \ K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [hyper(13525,a,17826,a)]. 17828 (x * y) \ K(z,L(u,x,y)) = (y \ 1) * (x \ K(z,u)). [hyper(286,a,13625,a(flip),b,17827,a),flip(a)]. 17829 (x \ 1) * (y \ K(z,K(u,w))) = (y * x) \ K(z,K(u,w)). [para(16587(a,1),17828(a,1,2)),flip(a)]. 17830 T(x,y * ((z \ 1) * (u \ K(w,v5)))) = T(x,y * ((u * z) \ K(v5,w))). [para(17828(a,1),17805(a,1,2,2))]. 17831 (x \ K(y,K(z,u))) * (w \ 1) = (w * x) \ K(y,K(z,u)). [hyper(62,a,16885,a,b,17829,a)]. 17832 K(x,((y \ K(z,K(u,w))) * T(v5 \ 1,v6)) \ (v7 * T(v5 \ 1,v6))) = K(x,((v5 * y) \ K(z,K(u,w))) \ (v7 * (v5 \ 1))). [para(17831(a,1),16974(a,2,2,1))]. 17833 T(x,y / ((z * K(u,w)) * v5)) = T(x,y * ((z * v5) \ K(u,w))). [hyper(62,a,15721,a(flip),b,17830,a)]. 17834 T(x,T(y,K(z,u) * (w * v5)) * ((w * v5) \ K(z,u))) = T(x,((w * K(z,u)) * v5) \ y). [hyper(62,a,17035,a(flip),b,17833,a),flip(a)]. 17835 K((x * y) * (a(z,x,K(y,u)) * K(u,z)),w) = K((K(z,u) * x) * y,w). [para(17825(a,1),16900(a,1,1))]. 17836 K((K(x,y) * z) * u,w) = K((z * u) * K(y,x),w). [hyper(17277,a,17835,a),flip(a)]. 17838 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(16998,a,17836,a),flip(a)]. 17839 K((K(x,T(y,z)) * u) * w,v5) = K((u * w) * K(y,x),v5). [hyper(286,a,15434,a(flip),b,17836,a),flip(a)]. 17841 K(((x \ 1) * y) * K(z,u),w) = K((x \ y) * K(u,z),w). [hyper(286,a,17422,a(flip),b,17838,a),flip(a)]. 17842 K((x * y) * (z * K(u,x)),w) = K((T(x,u) * y) * z,w). [hyper(62,a,17629,a(flip),b,17838,a),flip(a)]. 17843 K((K(x,y) * z) * (u * K(x,y)),w) = K(z * u,w). [hyper(62,a,17627,a(flip),b,17838,a),flip(a)]. 17844 K(x * (y * K(z,T(u,w) \ v5)),v6) = K(K(u \ v5,z) * (x * y),v6). [hyper(62,a,16065,a(flip),b,17838,a),flip(a)]. 17845 K(x * (y * K(z,z \ u)),w) = K(K(z,u) * (x * y),w). [hyper(62,a,16016,a(flip),b,17838,a),flip(a)]. 17846 K(x * (y * K(z * u,z)),w) = K(K(u,z) * (x * y),w). [hyper(62,a,16015,a(flip),b,17838,a),flip(a)]. 17847 K(x * (y * K(z \ u,z)),w) = K(K(z,u) * (x * y),w). [hyper(62,a,15226,a(flip),b,17838,a),flip(a)]. 17848 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5715(a,1),17843(a,1,1,1))]. 17849 K((K(x \ y,T(x,z)) * u) * w,v5) = K(K(x,y) * (u * w),v5). [hyper(286,a,15226,a(flip),b,17839,a),flip(a)]. 17850 K(K(x,y) * ((z \ 1) * u),w) = K((z \ u) * K(y,x),w). [hyper(15094,a,17841,a)]. 17851 K((T(x,y * K(z,u)) * w) * v5,v6) = K((x * w) * (v5 * K(y,x)),v6). [hyper(62,a,17003,a(flip),b,17842,a),flip(a)]. 17852 K((T(x,T(y / x,z)) * u) * w,v5) = K(K(x,y) * ((x * u) * w),v5). [hyper(62,a,17315,a,b,17845,a)]. 17853 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * (T(y * x,y) \ u),w). [hyper(62,a,17200,a(flip),b,17846,a),flip(a)]. 17854 K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * ((x \ y) * x))),v5). [hyper(62,a,17288,a(flip),b,17847,a),flip(a)]. 17855 K((x * T(x \ (y \ x),z)) * u,w) = K((T(y,z) \ x) * u,w). [hyper(62,a,17182,a(flip),b,17848,a)]. 17856 K(((x \ y) \ z) * K(y,x),u) = K(T(x \ y,x) \ z,u). [hyper(13779,a,17850,a),flip(a)]. 17857 K(((x \ y) \ z) * K(y,x),u) = K((y / x) \ z,u). [hyper(286,a,16043,a(flip),b,17856,a),flip(a)]. 17858 K(K(x,y) * ((z * y) * u),w) = K((z * ((x \ y) * x)) * u,w). [hyper(62,a,17663,a(flip),b,17849,a),flip(a)]. 17859 K(x * (y * T(y \ (z \ y),u)),w) * K(x,K(y * T(y \ (z \ y),u),w)) = K((T(z,u) \ y) * x,w). [hyper(62,a,12158,a,b,17855,a)]. 17860 K((x \ T(y,x)) * z,u) = K((y * T(y \ (x \ y),y)) * z,u). [para(3928(a,1),17855(a,2,1,1)),flip(a)]. 17861 K((T(x \ 1,y) \ z) * u,w) = K(((T(x,y) \ 1) \ z) * u,w). [para(7223(a,1),17855(a,1,1,1)),flip(a)]. 17862 K((T(x,y) \ L(z,x \ 1,x)) * u,w) = K((T(x \ 1,y) * z) * u,w). [para(11607(a,1),17855(a,1,1,1)),flip(a)]. 17863 K(K(x,y) * ((z * y) * u),w) = K((z * T(y,x)) * u,w). [hyper(286,a,17506,a(flip),b,17858,a),flip(a)]. 17865 K(K(x,y) * ((z * x) * u),w) = K((z * T(x,y)) * u,w). [hyper(16025,a,17863,a)]. 17866 K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K((z * u) * v5,v6) * (y * v7)). [para(17863(a,1),17061(a,1,2,2,1))]. 17867 K(K(x,y) * ((z * (y * x)) * u),w) = K((z * T(y * x,x)) * u,w). [hyper(16049,a,17865,a)]. 17868 K(K(x,y) * ((z * x) * u),T(w,z * x)) = K(u * (z * T(x,y)),w). [hyper(286,a,15773,a(flip),b,17865,a),flip(a)]. 17869 K(K(x,y \ (z \ 1)) * ((u * x) * w),v5) = K((u * T(x,z * y)) * w,v5). [hyper(62,a,14810,a,b,17865,a)]. 17870 K(K(L(x,y,z),u) * ((z * (y * x)) * w),v5) = K(((z * y) * T(L(x,y,z),u)) * w,v5). [para(92(a,1),17865(a,1,1,2,1))]. 17871 K((x \ y) * K((z * T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K(K(u,w) * ((z * u) * v5),v6)),v7) = v8. [para(17865(a,1),17475(a,1,1,2))]. 17872 K((x \ T(y,x)) * z,u) = K(((y \ (x \ y)) * y) * z,u). [para(108(a,1),17860(a,2,1,1))]. 17873 K(T(x \ y,y) * z,u) = K((x \ T(y,x)) * z,u). [hyper(286,a,17640,a(flip),b,17872,a)]. 17874 K((x \ T(y,x)) * z,u) = K((y / x) * z,u). [hyper(62,a,16077,a(flip),b,17873,a),flip(a)]. 17875 K((T(x,y) \ y) * z,u) = K((y / x) * z,u). [para(3928(a,2),17874(a,1,1,1))]. 17876 K((T(x,y) / T(z,x)) * u,w) = K((z \ T(x,y)) * u,w). [hyper(62,a,17697,a(flip),b,17875,a),flip(a)]. 17877 K((T(x,y) \ T(y,z)) * u,w) = K((T(y,z) / x) * u,w). [hyper(62,a,16820,a(flip),b,17875,a)]. 17878 K((x \ y) * K((z \ T(u,w)) * v5,v6),T(v7,y)) != v8 | K(y * (x \ K((T(u,w) / T(z,u)) * v5,v6)),v7) = v8. [para(17876(a,1),17475(a,1,1,2))]. 17879 K((T(x,y) / y) * z,u) = K((y \ x) * z,u). [hyper(62,a,17692,a(flip),b,17877,a),flip(a)]. 17880 K((x / T(y,x)) * z,u) = K((y \ x) * z,u). [para(3926(a,1),17879(a,1,1,1))]. 17881 K(x,((T(y,z) / z) * u) \ w) * K(x,K((z \ y) * u,w)) = K(x,w / ((T(y,z) / z) * u)). [para(17879(a,1),8683(a,1,2,2))]. 17882 K((x / T(y,x)) / z,u) = K((y \ x) * (K(w,v5) * (z \ K(w,v5))),u). [hyper(62,a,17801,a(flip),b,17880,a)]. 17883 K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) = K(x,K((T(u \ 1,w) \ z) * y,v5) * v6). [para(17861(a,2),14789(a,2,2,1))]. 17884 K((T(x,y * K(z,u)) * w) * v5,v6) = K((T(x,y) * w) * v5,v6). [hyper(286,a,17842,a(flip),b,17851,a),flip(a)]. 17885 K((T(x,K(y,z) * u) * w) * v5,v6) = K((T(x,u) * w) * v5,v6). [para(7736(a,1),17884(a,1,1,1,1,2))]. 17886 K(x * (T(y,K(z,u) * w) * v5),v6) = K((T(y,w) * v5) * x,v6) * K(T(y,v7) * v5,K(x,v6)). [para(17885(a,1),16138(a,1,1)),flip(a)]. 17887 K((T(x,T(y / x,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [hyper(286,a,17630,a(flip),b,17852,a),flip(a)]. 17888 K((T(x,T(x \ y,z)) * u) * w,v5) = K((T(x,y) * u) * w,v5). [para(3936(a,2),17887(a,1,1,1,1))]. 17889 K((((x \ y) \ y) * z) * u,w) = K((T(x,y) * z) * u,w). [para(3654(a,1),17888(a,1,1,1,1))]. 17890 K((T(x * y,y) * (x \ 1)) * z,u) = K(L(y,x,x \ 1) * z,u). [hyper(62,a,17653,a(flip),b,17889,a),flip(a)]. 17891 K(K(x,y) * (z * (u * y)),w) = K(z * (u * T(y,x)),w). [hyper(62,a,17651,a(flip),b,17868,a)]. 17892 K(x * (y * (((z \ 1) \ u) * (z \ 1))),w) = K(x * (y * T(u,z)),w). [hyper(62,a,17748,a(flip),b,17891,a)]. 17893 K((x / T(y,x)) / z,u) = K((y \ x) / z,u). [hyper(286,a,17801,a(flip),b,17882,a),flip(a)]. 17894 K((x \ y) / z,T(u,x \ y)) = K(z \ (y / T(x,y)),u). [hyper(15772,a,17893,a),flip(a)]. 17895 K(x \ (y / T(z,y)),u) = K(x \ (z \ y),u). [hyper(8254,a,17894,a),flip(a)]. 17896 T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(z / T(y,z),u)) = K(u,x \ (z / T(y,z))). [para(17895(a,1),15710(a,1,1,1,2))]. 17897 K(x * (y * T(z,u \ 1)),w) = K(x * (y * T(z,u)),w). [hyper(62,a,17507,a(flip),b,17892,a)]. 17898 K((T(x \ 1,y) * z) * u,w) = K(((T(x,y) \ 1) * z) * u,w). [para(6514(a,1),17862(a,1,1,1)),flip(a)]. 17899 K((T(x \ 1,y) * T(z,x)) * u,w) = K((z * (T(x,y) \ 1)) * u,w). [hyper(286,a,17509,a(flip),b,17898,a),flip(a)]. 17900 K((T(x,y) * T(z,x \ 1)) * u,w) = K((z * (T(x \ 1,y) \ 1)) * u,w). [para(4893(a,1),17899(a,1,1,1,1,1))]. 17901 K((x * T(y,z \ (u \ 1))) * w,v5) = K((x * T(y,u * z)) * w,v5). [hyper(62,a,17865,a(flip),b,17869,a)]. 17902 K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * T(y,z)) * u,w). [hyper(62,a,17581,a(flip),b,17900,a),flip(a)]. 17903 T(x,T(y,z * u) * ((z * u) \ K(w,v5))) = T(x,((z * K(w,v5)) * u) \ y). [hyper(62,a,16004,a(flip),b,17834,a)]. 17905 K(K(x,L(y,z,u)) * ((u * (z * x)) * w),v5) = K(((u * z) * T(L(x,z,u),y)) * w,v5). [para(11780(a,1),17870(a,1,1,1))]. 17906 K(x,K(y \ ((z \ 1) / T(u,w)),v5) * v6) != v7 | K(x,K(((u \ 1) \ z) * y,v5) * v6) = v7. [para(17883(a,2),16119(a,1))]. 17907 K(K(x,y) * ((z * (u * x)) * w),v5) = K(((z * u) * T(L(x,u,z),y)) * w,v5). [hyper(17079,a,17905,a)]. 17909 K(K(x,y) * ((z * (u * x)) * w),v5) = K((z * (u * T(x,y))) * w,v5). [para(432(a,1),17907(a,2,1,1))]. 17910 K(K(x,y) * ((z * (u * y)) * w),v5) = K((z * (u * T(y,x))) * w,v5). [hyper(16025,a,17909,a)]. 17911 K((x * T(y * z,z)) * u,w) = K((x * (y * T(z,y))) * u,w). [hyper(62,a,17867,a(flip),b,17909,a)]. 17912 K((x * (y * T(z,K(u,w)))) * v5,v6) != v7 | K((x * (y * z)) * v5,v6) = v7. [para(17909(a,1),15412(a,1))]. 17913 K((x * T(y * z,z)) * u,w) = K((x * (z * y)) * u,w). [para(108(a,1),17911(a,2,1,1,2))]. 17914 K((T(x,y * z) * (y * z)) * u,w) = K((T(z * y,y) * x) * u,w). [hyper(62,a,17638,a(flip),b,17913,a),flip(a)]. 17915 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(K(u,z) * (w * (x * (y * z))),v5). [para(108(a,1),17910(a,1,1,2)),flip(a)]. 17916 K((T(x * y,y) * z) * u,w) = K(((y * x) * z) * u,w). [hyper(62,a,17631,a(flip),b,17914,a),flip(a)]. 17917 K(((x * y) * (y \ 1)) * z,u) = K(L(x,y,y \ 1) * z,u). [hyper(62,a,17890,a(flip),b,17916,a),flip(a)]. 17918 K(L(x,y,y \ 1) * z,u \ 1) = K(z \ (y * ((x * y) \ 1)),u). [hyper(13796,a,17917,a),flip(a)]. 17919 K(x \ (((y * z) \ 1) * y),u) = K(x \ (y * ((z * y) \ 1)),u). [hyper(62,a,13712,a(flip),b,17918,a)]. 17920 K(x \ (((y * (z \ 1)) \ 1) * y),u) = K(x \ (y * ((y \ 1) * z)),u). [para(6404(a,1),17919(a,2,1,2,2))]. 17921 K(x \ ((y * (z \ 1)) * z),u) = K(x \ (z * ((z \ 1) * y)),u). [para(6403(a,1),17920(a,1,1,2,1))]. 17922 K(x \ (y * ((y \ 1) * z)),u) = K(x \ R(z,y \ 1,y),u). [para(4912(a,1),17921(a,1,1,2)),flip(a)]. 17923 K(x \ R(y,z \ 1,z),u) = K(x \ L(y,z \ 1,z),u). [para(235(a,1),17922(a,1,1,2)),flip(a)]. 17924 K((x \ y) * K(z \ L(u,w \ 1,w),v5),T(v6,y)) != v7 | K(y * (x \ K(z \ R(u,w \ 1,w),v5)),v6) = v7. [para(17923(a,1),17475(a,1,1,2))]. 17925 K(x * (T(y,K(z,u) * w) * v5),v6) = K(x * (T(y,w) * v5),v6). [hyper(286,a,16138,a(flip),b,17886,a),flip(a)]. 17926 K(x * (T(y,z * T(u,w)) * v5),v6) = K(x * (T(y,z * u) * v5),v6). [para(6145(a,1),17925(a,1,1,2,1,2))]. 17927 K(x * (T(y,z * u) * (z * T(u,w))),v5) != v6 | K(x * ((z * T(u,w)) * y),v5) = v6. [para(17926(a,1),17642(a,1))]. 17928 T(x \ K(x \ (y \ z),u),y \ z) \ T(x \ 1,T(y \ z,u)) = K(u,x \ (z / T(y,z))). [para(13157(a,1),17896(a,1,2))]. 17929 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [hyper(15713,a,17928,a),flip(a)]. 17930 K(x,y \ (T(z,u) / u)) = K(x,y \ (u \ z)). [para(3926(a,2),17929(a,1,2,2))]. 17931 K(x * (T(y,z * u) * (z * ((w \ u) * w))),v5) != v6 | K(x * ((z * ((w \ u) * w)) * y),v5) = v6. [para(17926(a,1),17652(a,1))]. 17933 ((x * (y * z)) \ ((x * y) * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) != v6 | a(x,y,z * K(u,K(w,v5))) = v6. [para(16826(a,1),16790(a,1))]. 17934 L(a(x,y,z),x * (y * z),K(x,K(u,w))) = (T(x,K(u,w)) * (y * z)) \ ((T(x,K(u,w)) * y) * z). [para(4675(a,1),16858(a,1,1)),flip(a)]. 17935 L(a(x,y,z),x * (y * z),K(x,K(u,w))) = a(T(x,K(u,w)),y,z). [hyper(286,a,14,a,b,17934,a),flip(a)]. 17936 a(T(x,K(y,z)),u,w) = a(x,u,w). [hyper(16646,a,17935,a),flip(a)]. 17938 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(6894(a,1),17936(a,1,1))]. 17939 a(K(x,y) * (z * x),u,w) = a(z * T(x,y),u,w). [para(8285(a,1),17936(a,1,1))]. 17940 a(K(x,y) * (z \ x),u,w) = a(z \ T(x,y),u,w). [para(13515(a,1),17938(a,2,1))]. 17941 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K(((u \ 1) * v5) * w,z) * x). [para(16964(a,1),16965(a,1,2))]. 17942 T(x,K(((y \ 1) * z) * u,w) * v5) != v6 | T(x,K((y \ u) * z,w) * v5) = v6. [para(17941(a,1),15314(a,1))]. 17943 x \ T(y * T(x,K(z,(u \ w) * v5)),K(z,(u \ w) * v5)) = T(y,K((v5 \ (w \ 1)) * u,z) * x). [para(16966(a,1),16967(a,1,2))]. 17944 T(x,K((y \ (z \ 1)) * u,w) * v5) != v6 | T(x,K((u \ z) * y,w) * v5) = v6. [para(17943(a,1),15314(a,1))]. 17945 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(K(z,u) * w,w * v5)). [para(17076(a,1),17074(a,1,3)),flip(a)]. 17947 K(x \ K(y * ((z * u) \ K(w,v5)),v6),y * ((z * u) \ K(w,v5))) = K(x,(y / (z * (K(v5,w) * u))) \ 1). [hyper(17703,a,17705,a)]. 17948 K(x * (T(y,z \ 1) \ u),w) * K(x,K(u * T(u \ (y \ u),z),w)) = K((T(y,z) \ u) * x,w). [para(17195(a,1),17859(a,1,1))]. 17949 K(x * (T(y,z \ 1) \ u),w) * K(x,K(T(y,z) \ u,w)) = K((T(y,z) \ u) * x,w). [para(15516(a,1),17948(a,1,2,2))]. 17950 K(x * (T(y,z \ 1) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(12162,a,17949,a),flip(a)]. 17951 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(y * ((z * v5) \ K(w,u))) \ 1). [hyper(15373,a,17947,a),flip(a)]. 17952 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) * (y \ 1)). [para(13627(a,1),17951(a,2,2))]. 17953 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(K(u,w) * (z * v5)) / y). [hyper(286,a,13554,a(flip),b,17952,a),flip(a)]. 17954 K(x * (T((T(y,z) \ 1) * z,T(y,z)) \ u),w) = K(x * (L(T(z,y) / y,T(y,z),y \ 1) \ u),w). [para(6524(a,1),17245(a,1,1,2,1)),flip(a)]. 17955 (K(x,K(y,z)) * (u * w)) \ (K(x,K(y,z)) * (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16612(a,1),16648(a,1,2))]. 17956 K((K(x,K(y,z * u)) * K((x * y) * ((z \ 1) \ u),x)) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(8654(a,1),17148(a,1,1,1,1))]. 17957 K(x * (T(T(x,(x * y) * ((z \ 1) \ u)),K(y,z * u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(15530(a,1),17956(a,1,1))]. 17958 K(x * (T(T(x,K(y,z * u)),(x * y) * ((z \ 1) \ u)) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(23(a,1),17957(a,1,1,2,1))]. 17959 K(x,T(y,z) * z) = K(x,(z * a(u,w,K(v5,v6))) * y). [hyper(17282,a,17254,a)]. 17962 K(x,(y * a(z,u,K(w,v5))) * v6) = K(x,y * v6). [hyper(62,a,12122,a(flip),b,17959,a),flip(a)]. 17963 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z). [hyper(751,a,17955,a)]. 17964 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [hyper(16646,a,17963,a),flip(a)]. 17966 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(16627(a,1),17964(a,1,2))]. 17967 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(62,a,16686,a(flip),b,17966,a)]. 17968 L(x,y,T(z,K(u,w)) * v5) = L(x,y,z * v5). [para(4675(a,1),17966(a,1,3))]. 17969 L(x,y,z \ K(u,T(w,v5))) = L(x,y,z \ K(u,w)). [para(16201(a,1),17966(a,1,3))]. 17970 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(62,a,17753,a,b,17967,a)]. 17973 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(4605(a,1),17970(a,1,2)),flip(a)]. 17974 L(x,y * T(z,K(u,w)),v5) = L(x,y * z,v5). [para(6145(a,1),17970(a,1,2))]. 17975 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(7844(a,1),17970(a,1,2))]. 17976 L(x,y * K(z,T(u,w)),v5) = L(x,y * K(z,u),v5). [para(15322(a,1),17970(a,1,2))]. 17977 L(x,(y * K(z,T(u,w))) * v5,v6) = L(x,(y * K(z,u)) * v5,v6). [para(16760(a,1),17970(a,1,2))]. 17978 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(62,a,16833,a(flip),b,17975,a)]. 17979 L(x,y * T(z,T(u,w)),v5) = L(x,y * T(z,u),v5). [para(7613(a,1),17974(a,1,2,2))]. 17980 L(x,y * (z \ K(u,w)),v5) = L(x,y * (K(u,w) / z),v5). [para(12182(a,1),17974(a,1,2,2))]. 17981 K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,(z * K(u,w)) \ 1,v6)). [para(17976(a,2),14420(a,2,2)),flip(a)]. 17982 K((x * (y * T(z,u))) * L(w,y * T(z,u),x),v5) = K(x * ((y * T(z,T(u,v6))) * w),v5). [para(17979(a,1),16969(a,1,1,2))]. 17984 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(17609,a,17978,a)]. 17986 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(18(a,2),17984(a,1,2)),flip(a)]. 17987 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(286,a,15033,a(flip),b,17986,a),flip(a)]. 17988 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(17987(a,2),15526(a,1,1))]. 17989 K(x,L(y,z * K(u,T(w,v5)),v6 \ 1)) = K(x,L(y,K(w,u) / z,v6)). [para(13591(a,1),17981(a,2,2,2))]. 17990 K(x * ((y * T(z,T(u,w))) * v5),v6) = K(x * ((y * T(z,u)) * v5),v6). [para(92(a,1),17982(a,1,1)),flip(a)]. 17992 K(x * ((T(y,T(z,u)) * T(z,u)) * w),v5) = K(x * ((T(z,T(u,v6)) * y) * w),v5). [hyper(62,a,17166,a(flip),b,17990,a),flip(a)]. 17993 K(x * ((T(y,T(z,u)) * w) * v5),v6) = K(x * ((T(y,z) * w) * v5),v6). [hyper(17164,a,17992,a),flip(a)]. 17995 K(x * ((T(y,z) * T(z,u)) * w),v5) != v6 | K(x * ((T(z,u) * y) * w),v5) = v6. [para(17993(a,1),17164(a,1))]. 17996 K(x * ((T(y,z) * ((u \ z) * u)) * w),v5) != v6 | K(x * ((((u \ z) * u) * y) * w),v5) = v6. [para(17993(a,1),17167(a,1))]. 17999 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(6041(a,1),17988(a,1,1,1))]. 18000 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(8369(a,1),17999(a,1,1,1))]. 18001 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(62,a,25,a,b,18000,a)]. 18002 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(15345(a,1),18001(a,1,1))]. 18003 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(18002(a,2),11139(a,2,2,2))]. 18004 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(u,y * ((y * x) \ z))). [para(15881(a,1),17649(a,2,2))]. 18005 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(x \ z,y),u) * K(x,K(z,u)). [para(15942(a,1),18004(a,2,2))]. 18006 K((((x * y) \ z) * y) * R(x,y,(x * y) \ z),u) = K(x * T(z / x,y),u). [hyper(286,a,15687,a(flip),b,18005,a),flip(a)]. 18008 T(K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)),K(w,v5)) = K(x * (((x \ 1) / y) * z),u \ 1). [para(6717(a,1),17808(a,1,1,2,2))]. 18009 K((((x \ 1) / y) * z) * x,u \ 1) * K(x,K(u,z \ y)) = K(x * (((x \ 1) / y) * z),u \ 1). [hyper(16654,a,18008,a)]. 18010 K(x,((y \ 1) * T(z \ K(u,K(w,v5)),v6)) \ (v7 * T(z \ 1,v6))) = K(x,((z * y) \ K(u,K(w,v5))) \ (v7 * (z \ 1))). [para(16968(a,1),17832(a,1,2,1))]. 18011 L(x \ (y * z),T(x,K(u,K(w,v5))),K(u,K(w,v5))) = (x * K(u,K(w,v5))) \ (y * (z * K(u,K(w,v5)))). [para(15048(a,1),16789(a,1,1,1))]. 18012 (x * K(y,K(z,u))) \ (w * (v5 * K(y,K(z,u)))) = x \ (w * v5). [hyper(16646,a,18011,a),flip(a)]. 18015 (x \ (y * (z * K(u,K(w,v5))))) * K(u,K(w,v5)) = x \ (y * z). [hyper(62,a,16825,a(flip),b,18012,a)]. 18016 a(x,y,z * K(u,K(w,v5))) = (x * (y * z)) \ ((x * y) * z). [hyper(17933,a,18015,a)]. 18017 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(286,a,14,a,b,18016,a),flip(a)]. 18018 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(7962(a,1),18017(a,1,3))]. 18019 a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). [para(8278(a,1),18017(a,1,3)),flip(a)]. 18020 a(x,y,K(z \ u,w)) = a(x,y,K(u / z,w)). [para(8735(a,1),18017(a,1,3)),flip(a)]. 18021 K(x,T(a(y,z,u),w)) = a(x,z,K(u,T(y,v5))). [hyper(286,a,16690,a,b,18018,a)]. 18022 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(286,a,14178,a,b,18018,a),flip(a)]. 18023 a(x,y,K((z \ u) \ u,w)) = a(x,y,K(z,w)). [para(7754(a,2),18018(a,1,3))]. 18024 ((x * y) * K(z,T(u,x))) * a(z,x,K(y,u)) = (x * K(z,T(u,y * x))) * y. [para(18018(a,1),17608(a,1,2))]. 18025 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(18022(a,2),14238(a,1))]. 18026 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(18022(a,1),14454(a,1,2))]. 18027 T(x,a(y * (z \ 1),u,w)) = x * a(x,u,K(w,z \ y)). [para(18019(a,2),14232(a,2,2))]. 18028 a(x,y,K(z \ u,w)) * K(w,u / z) = K(w,L(u / z,y,x)). [para(18020(a,2),11814(a,1,1))]. 18029 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = a(x,z,K(w \ u,y)) * K(x,y). [para(18020(a,2),17427(a,2,1))]. 18030 a(x / y,z,K(u,T(w,v5))) = K(y \ x,a(w,z,u)). [hyper(8254,a,18021,a),flip(a)]. 18031 a(x,y,K(z \ (u \ z),w)) = a(x,y,K(u,w \ 1)). [para(6787(a,1),18023(a,1,3))]. 18033 a(x / y,z,K(u,T(w,v5))) = a(y \ x,z,K(u,w)). [hyper(286,a,14187,a,b,18030,a),flip(a)]. 18034 a(x,y,K(z \ (u \ z),w)) = a(u,y,K(x,w)). [hyper(286,a,14193,a(flip),b,18031,a),flip(a)]. 18035 a(x,y,K(z \ (u \ z),w)) != v5 | a(u,y,K(x,w)) = v5. [para(18031(a,2),14287(a,1))]. 18036 a(x \ y,z,K(u,w)) = a(y / x,z,K(u,w)). [hyper(18025,a,18033,a),flip(a)]. 18037 a(x,y,K(z,T(u,w) \ (v5 \ 1))) = a(x,y,K(z,v5 \ T(u \ 1,w))). [hyper(15633,a,18027,a)]. 18038 T(x,a(y * (z \ 1),u,w)) = T(x,a(z \ y,u,w)). [hyper(286,a,14206,a(flip),b,18027,a),flip(a)]. 18040 a(x,y,K(z,u \ T(w \ 1,v5))) = a(z,y,K(x,u * T(w,v5))). [hyper(14289,a,18037,a),flip(a)]. 18041 K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * T(w,v5))). [hyper(62,a,13770,a,b,18040,a)]. 18042 K(x,L(y,z,u * (w \ K(v5,K(v6,v7))))) = K(x,L(y,z,w \ u)). [hyper(286,a,14200,a(flip),b,18029,a),flip(a)]. 18043 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). [para(159(a,1),18042(a,1,2,3,2,2))]. 18044 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(62,a,16907,a,b,18043,a)]. 18045 K(x,L(y,z,(u * K(w,v5)) \ (v6 \ 1))) = K(x,L(y,z,v6 \ (K(v5,w) / u))). [hyper(62,a,14336,a,b,18043,a)]. 18046 K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,v6 * (u \ K(w,v5)))). [hyper(62,a,17698,a(flip),b,18043,a),flip(a)]. 18047 K(x,L(y,z,(u * w) \ w)) = K(x,L(y,z,u \ 1)). [hyper(62,a,14341,a(flip),b,18043,a),flip(a)]. 18048 K(x,L(y,z,u * (w \ 1))) * v5 = K(x,L(y,z,w \ u)) * v5. [hyper(56,a,18043,a)]. 18049 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (K(v5,w) / u))). [para(13591(a,1),18043(a,1,2,3,2)),flip(a)]. 18050 K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,w * (u \ 1))). [para(17968(a,1),18043(a,1,2)),flip(a)]. 18051 K(x,L(y,z \ u,u \ z)) = K(x,y). [hyper(13775,a,18044,a),flip(a)]. 18053 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [para(9(a,1),18044(a,1,2,3,1)),flip(a)]. 18054 K(x,L(y,((z * u) \ 1) \ a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). [para(14060(a,2),18051(a,1,2,2))]. 18055 K(x,L(T((y * z) \ u,z),y * z,y \ 1)) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,11947,a(flip),b,18047,a),flip(a)]. 18056 K(x,L(y,z,L(u \ 1,u,w))) = K(x,L(y,z,u \ 1)). [para(195(a,2),18053(a,1,2,3))]. 18057 K(x,L(y,z,u \ (w \ 1))) * v5 = K(x,L(y,z,w \ (u \ 1))) * v5. [para(14333(a,1),18048(a,1,1))]. 18058 K(x,L(y,z,u \ T(w,K(v5,v6)))) = K(x,L(y,z,u \ w)). [hyper(286,a,18043,a(flip),b,18050,a),flip(a)]. 18059 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (K(v5,v6) / w))). [para(12182(a,1),18058(a,1,2,3,2))]. 18060 K(x,L(y,z,u \ (z \ 1))) * u = (K(x,y) / z) * ((z \ 1) \ u). [hyper(286,a,15678,a(flip),b,18057,a),flip(a)]. 18061 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ ((x * K(y,z)) \ 1))) * u. [para(4900(a,2),18060(a,2,1)),flip(a)]. 18062 (x \ 1) * (K(y,L(z,u,x \ (u \ 1))) \ 1) = ((K(y,z) / u) * ((u \ 1) \ x)) \ 1. [para(18060(a,1),6394(a,2,1))]. 18063 K(x,L(y,z,(u \ 1) \ (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). [hyper(286,a,14331,a(flip),b,18059,a),flip(a)]. 18064 K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ K(x,y))))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [para(18059(a,2),16875(a,1,2,2))]. 18065 ((K(x,L(y,z,u \ (K(x,y) / z))) \ 1) * u) * K(w,v5) = ((K(y,x) / z) * ((z \ 1) \ u)) * K(w,v5). [para(18045(a,1),16183(a,1,1,1,1))]. 18066 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,u * (K(v5,v6) / w))). [hyper(14332,a,18063,a)]. 18067 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (u \ K(v5,w)))). [hyper(286,a,18049,a,b,18066,a)]. 18068 (x * y) * (a(z,x,K(y,u)) * K(z,T(u,x))) = (x * K(z,T(u,y * x))) * y. [hyper(62,a,17468,a(flip),b,18024,a)]. 18070 (x * y) * T(K(z,u) * a(z,x,K(y,u)),x) = (x * K(z,T(u,y * x))) * y. [para(17677(a,2),18068(a,1,2))]. 18071 (x * y) * T(K(z,L(u,x,y)),x) = (x * K(z,T(u,y * x))) * y. [para(14198(a,1),18070(a,1,2,1))]. 18072 (x * y) * K(z,L(T(u,x),x,y)) = (x * K(z,T(u,y * x))) * y. [para(7735(a,2),18071(a,1,2))]. 18073 (x * K(y,T(z,u * x))) * u = u * (T(x,u) * K(y,T(z,x))). [hyper(62,a,11772,a(flip),b,18072,a),flip(a)]. 18074 (x * K(y,T(z,u * x))) * u = u * (K(y,z) * T(x,u)). [para(15133(a,1),18073(a,2,2))]. 18075 x * (K(y,T(z,x * u)) * T(u,x)) = (u * K(y,z)) * x. [para(8149(a,1),18074(a,1,1,2)),flip(a)]. 18076 (x \ 1) * K(y,L(z,u,x \ (u \ 1))) = ((K(z,y) / u) * ((u \ 1) \ x)) \ 1. [para(11785(a,1),18062(a,1,2))]. 18077 ((K(x,y) / z) * ((z \ 1) \ u)) \ 1 = u \ K(y,L(x,z,u \ (z \ 1))). [hyper(13525,a,18076,a),flip(a)]. 18078 x \ K(y,L(z,u,x \ (u \ 1))) = (((u \ 1) \ x) \ 1) * (u * K(y,z)). [hyper(62,a,13592,a(flip),b,18077,a),flip(a)]. 18079 x \ K(y,L(z,u,x \ (u \ 1))) = ((x \ 1) / u) * (u * K(y,z)). [para(6411(a,1),18078(a,2,1))]. 18080 K(x,y) * (((y \ 1) / z) * (z * K(u,w))) = T(y,x) \ K(u,L(w,z,y \ (z \ 1))). [para(18079(a,1),5741(a,1,2))]. 18081 (T(x,y) \ K(z,L(u,w,x \ (w \ 1)))) \ K(y,x) = (((x \ 1) / w) * (w * K(z,u))) \ 1. [para(18079(a,1),13572(a,2,1))]. 18082 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = T(x,y) \ K(z,L(u,w,x \ (w \ 1))). [hyper(13914,a,18080,a)]. 18083 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(62,a,14329,a(flip),b,18026,a),flip(a)]. 18085 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7736(a,1),18083(a,1,1))]. 18087 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(11209(a,1),18085(a,1,2))]. 18088 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(435,a,18087,a),flip(a)]. 18089 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(62,a,6905,a(flip),b,18088,a),flip(a)]. 18090 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(18088(a,1),104(a,1,1))]. 18091 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(18088(a,1),459(a,1,1))]. 18092 R(x,y,K(z,K(u,w))) != v5 | x = v5. [para(18088(a,2),16646(a,1))]. 18093 x * (y * a(z,y,K(x,u))) = L(x,y,K(u,z)) * y. [para(18088(a,1),17240(a,2,1))]. 18094 K(x,K(y,z)) * (u / (K(x,T(y,z)) * w)) = u / (K(x,y) * w). [hyper(18092,a,16801,a),flip(a)]. 18095 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(34,a,17681,a,b,18093,a(flip))]. 18097 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(14274,a,18095,a)]. 18098 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(13478,a,18095,a),flip(a)]. 18099 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(115,a,18095,a(flip),b,14194,a)]. 18100 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [para(18095(a,1),12599(a,1,1))]. 18104 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(18095(a,1),17282(a,1,2))]. 18105 K(x,y * L(z,u,K(w,v5))) != v6 | K(x,y * z) = v6. [para(18095(a,1),17283(a,1,2,2))]. 18106 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(18095(a,1),17308(a,1,2,2))]. 18108 R(x,y,x) \ (x * ((K(x,y) * z) * u)) = K(x,x * y) * (z * L(u,z,K(y,x))). [para(18095(a,1),17683(a,2,2,2))]. 18109 L(a(x,y,K(z,u)) * w,v5,K(v6,v7)) = T(w,a(v7,v5,v6)) * a(x,y,K(z,u)). [hyper(286,a,17672,a(flip),b,18098,a),flip(a)]. 18110 L(a(x,K(y,z),u),w,K(v5,v6)) = a(x,K(y,z),u). [hyper(286,a,17366,a(flip),b,18098,a),flip(a)]. 18111 L(a(x,y,z),u,K(y,w)) = a(x,y,z). [hyper(286,a,14226,a(flip),b,18098,a),flip(a)]. 18112 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(286,a,10756,a(flip),b,18098,a),flip(a)]. 18113 a(x,L(y,z,K(u,w)) \ 1,T(y,a(w,z,u))) = a(x,y \ 1,y). [para(18098(a,2),7194(a,1,2,1))]. 18114 (x * y) \ (L(x,z,K(u,w)) * y) = K(x,T(a(w,z,u),y)). [para(18098(a,2),9379(a,1,2,1))]. 18116 (x * y) * a(z,u,K(w,y)) = x * L(y,u,K(z,w)). [para(18098(a,2),14220(a,2,2))]. 18117 x \ (a(y,z,K(x,u)) * w) = L(x,z,K(y,u)) \ w. [para(18098(a,2),14260(a,2,1))]. 18118 T(x \ 1,a(y,z,u)) = L(x,z,K(u,y)) \ 1. [para(18098(a,2),14505(a,2,1))]. 18119 a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). [para(18098(a,2),14627(a,1,1))]. 18120 (x \ y) * a(z,u,K(x,w)) = L(x,u,K(z,w)) \ y. [para(18098(a,2),16729(a,2,1))]. 18121 a(x,T(y,x),z) = a(x,y,z). [hyper(11505,a,18111,a)]. 18123 a(x \ y,x,z) = a(y / x,x,z). [hyper(7488,a,18121,a),flip(a)]. 18124 a(x,y * x,z) = a(x,x * y,z). [hyper(62,a,13289,a(flip),b,18121,a)]. 18125 1 / a(x \ (y \ 1),x,y) = (x * y) * ((y \ 1) / x). [para(18123(a,2),13991(a,1,2))]. 18126 a(x,x * y,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,14228,a(flip),b,18124,a),flip(a)]. 18127 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(16693,a,18097,a)]. 18128 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [para(18097(a,1),14217(a,1,1)),flip(a)]. 18129 a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,T(w,u) \ v5)). [para(14737(a,1),18099(a,1,2,3)),flip(a)]. 18130 a(x,y * z,K(y,L(u,z,y))) = L(u,z,T(y,x)) \ L(u,z,y). [para(7353(a,1),18100(a,1,1)),flip(a)]. 18133 K(x,L(y,z,T(u,w) \ 1)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(11309(a,1),18104(a,1,2))]. 18134 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [para(10(a,1),18126(a,1,2)),flip(a)]. 18135 ((K(x,y) / (z * u)) * z) / a(z,u,K(x,y)) = K(x,y) / L(u,z,z \ 1). [para(18126(a,1),14604(a,1,2))]. 18136 T(x,y \ L(z,u,K(w,v5))) = T(x,y \ z). [para(18127(a,1),17464(a,1,2,2))]. 18137 a(x,y \ z,K(y,u)) = a(y,z,K(w \ (x \ w),u)). [hyper(18035,a,18134,a)]. 18139 K(x,y / ((K(z,u) * w) \ v5)) = K(x,y / (w \ (K(u,z) * v5))). [para(5856(a,1),18106(a,1,2,2))]. 18140 T(x,y \ ((K(z,u) * w) \ v5)) = T(x,y \ (w \ (K(u,z) * v5))). [para(5856(a,1),18136(a,1,2,2))]. 18141 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(62,a,18098,a,b,18118,a)]. 18142 R(x,y,K(z,u) \ 1) = L(x,y \ 1,K(z,u)). [hyper(6683,a,18141,a)]. 18143 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y,z,K(u,w)) \ 1,L(y,z,K(u,w))). [para(18141(a,2),4912(a,1,1,2))]. 18144 L(x,y \ 1,K(z,u)) = R(x,y,K(u,z)). [para(4781(a,1),18142(a,1,3)),flip(a)]. 18145 L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(286,a,18088,a(flip),b,18144,a),flip(a)]. 18147 (K(x,y) * z) \ T(R(z,u,u \ 1) * K(x,y),z) = a(z,u,u \ 1). [hyper(62,a,16277,a,b,18112,a)]. 18148 a(L(x,y,T(z,u)),w,w \ 1) = a(L(x,y,z),w,w \ 1). [para(7353(a,1),18119(a,1,1))]. 18149 K(x,y * ((K(z,u) * w) \ v5)) != v6 | K(x,y * (w \ (K(u,z) * v5))) = v6. [para(5856(a,1),18105(a,1,2,2))]. 18151 x \ (a(y,z,K(u,x)) * w) = L(x,z,K(u,y)) \ w. [para(14178(a,1),18117(a,1,2,1))]. 18152 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(18120(a,1),17266(a,1,2))]. 18153 K(x,(L(y,z,K(u,w)) \ v5) * v6) = K(x,(y \ v5) * v6). [para(18120(a,1),17962(a,1,2,1))]. 18154 K(x,T((K(y,z) \ u) \ w,v5) \ v6) = K(x,T(u \ (K(y,z) * w),v5) \ v6). [para(691(a,1),18152(a,1,2,1)),flip(a)]. 18155 K(x,((K(y,z) * u) \ w) \ v5) = K(x,(u \ (K(z,y) * w)) \ v5). [para(5856(a,1),18152(a,1,2,1))]. 18156 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. [hyper(62,a,17436,a,b,18128,a)]. 18157 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(286,a,18034,a(flip),b,18137,a),flip(a)]. 18159 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(9(a,1),18157(a,1,2)),flip(a)]. 18160 T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). [para(18157(a,1),14206(a,1,2)),flip(a)]. 18161 K(x,L(y,z \ u,z \ 1)) = K(x,y) * a(y,u,K(z,x)). [para(18157(a,1),14234(a,1,2)),flip(a)]. 18162 K(x,L(y,z / u,u)) = a(x,z,K(u,y)) * K(x,y). [para(18157(a,1),14269(a,1,1)),flip(a)]. 18163 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(286,a,14206,a(flip),b,18160,a),flip(a)]. 18164 L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). [hyper(62,a,18098,a,b,18163,a)]. 18165 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(286,a,18098,a,b,18164,a),flip(a)]. 18166 L(x,y \ z,K(u,y)) = L(x,z,K(y,u \ 1)). [hyper(62,a,13401,a(flip),b,18165,a)]. 18167 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(9(a,1),18165(a,1,2)),flip(a)]. 18168 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(7354,a,18167,a),flip(a)]. 18169 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(18167(a,1),7354(a,1))]. 18170 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(17399,a,18168,a),flip(a)]. 18171 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [hyper(62,a,13639,a(flip),b,18168,a),flip(a)]. 18172 R(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(62,a,17206,a,b,18170,a)]. 18174 L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). [para(18172(a,1),14455(a,2,1,2)),flip(a)]. 18175 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [hyper(286,a,13401,a(flip),b,18166,a),flip(a)]. 18176 L(x,T(y \ 1,z),K(u,(y \ 1) \ (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). [para(4117(a,1),18175(a,1,2))]. 18177 (L(x,y,K(z,u)) \ w) \ (a(u,y,K(z,x)) * w) = T(x,x \ w). [para(18151(a,1),17465(a,2,1)),flip(a)]. 18178 K(x,L(y,z / u,u)) = K(x,L(y,z,u)). [hyper(286,a,14200,a(flip),b,18162,a),flip(a)]. 18179 K(x,L(y,z / u,u)) != w | K(x,L(y,z,u)) = w. [para(18162(a,2),14251(a,1))]. 18180 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(14320,a,18178,a)]. 18181 K(x,L((y / z) \ u,y,z)) = K(x,T(y,z) \ (z * u)). [hyper(62,a,14763,a(flip),b,18178,a),flip(a)]. 18182 K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,y / z),y,z)). [hyper(62,a,14470,a(flip),b,18178,a)]. 18183 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [para(11(a,1),18178(a,1,2,2)),flip(a)]. 18184 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(73(a,1),18178(a,1,2,2)),flip(a)]. 18185 K(x,L(y,z,u)) * z = (K(x,y) * (z / u)) * u. [para(18178(a,1),14401(a,1,1))]. 18186 K(x * (y \ z),L(u,z,y)) = K((x * (y \ 1)) * z,u). [hyper(13862,a,18180,a),flip(a)]. 18187 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11766,a,18180,a),flip(a)]. 18188 K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,(z * u) \ 1)). [hyper(62,a,14339,a(flip),b,18180,a)]. 18189 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(445(a,1),18180(a,1,2)),flip(a)]. 18190 K(x,L(y,a(z,z \ 1,u),L(u,z \ 1,z))) = K(x,L(y,u,L(u,z \ 1,z))). [para(713(a,1),18180(a,1,2,2))]. 18191 K(x,L(y \ (z \ u),u,z)) != w | K(x,(z * y) \ u) = w. [para(18180(a,1),11766(a,1))]. 18192 K(x * (y \ z),L(u,z,y)) != w | K((x * (y \ 1)) * z,u) = w. [para(18180(a,1),13862(a,1))]. 18193 K(x,L(y,z,L(u,w \ v5,w))) = a(y,z,K(x,L(u,v5,w))) * K(x,y). [para(18180(a,1),14201(a,1,1,3)),flip(a)]. 18194 K(x,L(y,a(z,u,u \ 1),R(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). [para(5994(a,1),18184(a,1,2,3))]. 18195 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(11395(a,2),18179(a,1,2))]. 18196 (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). [hyper(116,a,18185,a,b,xx)]. 18197 K(x,L(T(y,z / u),z,u)) * z = ((z / u) * K(x,y)) * u. [para(8146(a,1),18185(a,2,1))]. 18198 K(x,L(y \ ((z / T(u,z)) \ w),w,z / T(u,z))) = K(x,((T(z,u) / u) * y) \ w). [para(3952(a,2),18187(a,2,2,1))]. 18199 K(x,y \ ((L(y,z,u) \ 1) \ w)) = K(x,y \ (L(y,z,u) * w)). [hyper(62,a,14669,a(flip),b,18189,a)]. 18200 K(x,L(R(y,z,z \ 1) \ u,a(y,z,z \ 1),y \ 1)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). [para(5994(a,1),18189(a,1,2,1,1))]. 18201 K(x,L(T(y * z,z \ 1) \ u,y,L(z \ 1,z,y))) = K(x,y \ (L(z \ 1,z,y) * u)). [para(6938(a,1),18189(a,1,2,1,1))]. 18202 K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),(y * z) \ 1)) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [para(14060(a,1),18189(a,1,2,1,1))]. 18205 K((x * K(y,z)) / u,w) = K(x / (u * K(z,y)),w). [para(18089(a,1),16663(a,1,1)),flip(a)]. 18206 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(18089(a,1),16664(a,1,2)),flip(a)]. 18207 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(286,a,15461,a(flip),b,18205,a),flip(a)]. 18208 K((x * K(y,z)) / u,w) != v5 | K(x * (u \ K(y,z)),w) = v5. [para(18205(a,2),15462(a,1))]. 18209 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(286,a,15465,a(flip),b,18206,a),flip(a)]. 18210 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(18206(a,2),15467(a,1))]. 18211 K((x \ y) * K(z,u),T(w,y)) = K((y * K(z,u)) / x,w). [hyper(286,a,17473,a,b,18207,a)]. 18212 K((x * y) * (z \ K(y,u)),w) = K((x * T(y,u)) / z,w). [para(6811(a,1),18207(a,1,1,1)),flip(a)]. 18213 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(15457,a,18209,a)]. 18214 K(x,(y / (z * (K(u,w) * v5))) \ 1) = K(x,(z * v5) * (y \ K(u,w))). [hyper(62,a,17953,a,b,18213,a)]. 18215 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [hyper(7739,a,18090,a)]. 18216 L(x,y,K(z,x * y)) = x. [hyper(34,a,13561,a(flip),b,18090,a),flip(a)]. 18217 R((x * K(y,z)) \ 1,L(u,x,K(y,z)) \ 1,L(u,x,K(y,z))) = (((u * x) * K(y,z)) \ 1) * L(u,x,K(y,z)). [para(18090(a,1),6405(a,2,1,1))]. 18218 L(x,x \ y,K(z,y)) = x. [para(10(a,1),18216(a,1,3,2))]. 18219 L(x,x \ T(y,z),K(u,y)) = x. [hyper(62,a,16689,a(flip),b,18218,a)]. 18220 a(x \ (y \ 1),x,y) \ 1 = (x * y) * ((y \ 1) / x). [hyper(4898,a,18125,a)]. 18221 K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(K(z * u,w) * (x * (y \ 1)),v5). [hyper(286,a,17728,a,b,18186,a),flip(a)]. 18222 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (L(y,z,z \ 1) \ 1)) * u,w). [hyper(62,a,14343,a(flip),b,18186,a)]. 18223 (x * y) \ ((x \ 1) \ y) = a(x \ (y \ 1),x,y). [hyper(7523,a,18220,a)]. 18224 a(x \ (y \ 1),x,y) = a(x,x \ 1,(x \ 1) \ y). [hyper(846,a,18223,a),flip(a)]. 18226 a(x \ y,x,y \ 1) = a(x,x \ 1,(x \ 1) \ (y \ 1)). [para(4893(a,1),18224(a,1,1,2))]. 18227 (x * y) \ (L(x,z,K(u,w)) * y) = a(x,z,K(u,w)). [hyper(286,a,16690,a(flip),b,18114,a),flip(a)]. 18230 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,x \ z,K(y,u)) \ w. [para(11788(a,1),18156(a,1,1))]. 18231 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(286,a,14234,a(flip),b,18161,a),flip(a)]. 18232 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(9(a,1),18231(a,1,2,2)),flip(a)]. 18233 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(18231(a,1),14613(a,1,2))]. 18234 K(x,L(T((y * z) \ u,z),z,y \ 1)) = K(x,((z / (y * z)) * u) / z). [hyper(62,a,18055,a(flip),b,18232,a),flip(a)]. 18235 K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,(z \ 1) \ 1)). [hyper(62,a,16699,a(flip),b,18232,a)]. 18236 K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). [para(94(a,1),18232(a,1,2)),flip(a)]. 18237 K(x,L(y,(z * K(u,w)) * v5,K(w,u) / z)) = K(x,L(y,v5,(z * K(u,w)) \ 1)). [para(13591(a,1),18232(a,1,2,3))]. 18238 K(x,L(y,(z * K(u,T(w,v5))) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [para(17215(a,1),18232(a,1,2,2))]. 18239 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(33,a,11918,a(flip),b,18233,a),flip(a)]. 18240 (x \ y) * K(z,L(z \ y,y,x \ 1)) = x \ (z * (y / z)). [para(4856(a,1),18233(a,2,2))]. 18241 (K(x,L(y,z,u \ 1)) \ 1) * ((u \ z) \ 1) = (u \ (z * K(x,y))) \ 1. [para(18233(a,1),6394(a,2,1))]. 18242 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(11744(a,1),18233(a,1,2)),flip(a)]. 18243 K(x,(y \ (z * K(u,w))) \ v5) * a(y \ z,K(u,L(w,z,y \ 1)),K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5))) = K(x,K(u,L(w,z,y \ 1)) \ ((y \ z) \ v5)). [para(18233(a,1),11842(a,1,1,2,1))]. 18244 (T(x,K(y,z)) \ y) * K(z,y) = (x * K(y,z)) \ y. [hyper(62,a,13824,a(flip),b,18242,a),flip(a)]. 18245 (a(x,y,x) \ z) * K(x,z) = (x * z) / R(x,y,x). [hyper(62,a,13069,a(flip),b,18242,a),flip(a)]. 18247 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(4672(a,1),18242(a,1,2)),flip(a)]. 18248 x \ (y * (z * K(y,y * z))) = (x \ (y * z)) * K(y,y * z). [para(7648(a,1),18242(a,1,2))]. 18251 K(x,T(y,z \ (u \ w))) = K(x,T(y,z \ (w / u))). [para(18247(a,1),15739(a,1,2,2)),flip(a)]. 18253 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * (u \ (v5 / w)))). [para(18247(a,1),15809(a,1,2,2,2)),flip(a)]. 18255 T(x \ y,K(y,z)) * K(z,y) = (x * K(y,z)) \ y. [para(15326(a,2),18244(a,1,1))]. 18256 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(62,a,13090,a(flip),b,18245,a)]. 18257 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(286,a,16780,a,b,18251,a)]. 18258 (x * K(y,z)) \ y = K(z,y) * (x \ y). [hyper(7927,a,18255,a),flip(a)]. 18259 T(x * K(y,z),K(z,y) * (x \ y)) = ((x * K(y,z)) \ y) \ y. [para(18258(a,1),109(a,1,2))]. 18261 K((x * (y \ z)) * T(K(u,z),y \ z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(18258(a,2),14653(a,1,2,2,2))]. 18262 K(x,T(y,z \ ((K(u,w) * v5) \ v6))) = K(x,T(y,v6 \ (z * v5))). [hyper(62,a,17708,a(flip),b,18257,a),flip(a)]. 18264 K(x,L(y \ (z * u),y,z \ 1) \ 1) = K(x \ 1,(z \ y) \ u). [hyper(6476,a,18239,a)]. 18265 K(L(x \ (y * z),x,y \ 1),u) = (w * K(u,(y \ x) \ z)) \ w. [para(18239(a,1),6895(a,1,1,2)),flip(a)]. 18266 K(x,L(y \ (z * (u \ K(w,v5))),y,(z * (u \ 1)) \ 1)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [para(14577(a,1),18239(a,1,2,1,2))]. 18269 K((x * K(y,K(z,u) * w)) / v5,v6) = K(K(w,y) * (v5 \ x),T(v6,x)). [hyper(16008,a,18211,a),flip(a)]. 18270 K((x * T(y,z)) / (u * z),w) = K((x * y) / (u * T(z,y)),w). [hyper(62,a,15476,a(flip),b,18212,a),flip(a)]. 18271 a(x \ y,x,y \ 1) = a(x,x \ 1,(y / x) \ 1). [para(6431(a,1),18226(a,2,3))]. 18272 a(x \ y,x,y \ 1) = a(y / x,x,x \ 1). [hyper(286,a,7002,a(flip),b,18271,a),flip(a)]. 18273 a(x \ y,x,y \ 1) = a(x \ y,x,x \ 1). [hyper(286,a,18123,a,b,18272,a),flip(a)]. 18274 a(x \ (y \ 1),x,x \ 1) = a(x \ (y \ 1),x,y). [hyper(12414,a,18273,a),flip(a)]. 18275 a(x \ (y \ 1),x,y) = a(y \ 1,x \ 1,x). [hyper(62,a,14686,a(flip),b,18274,a),flip(a)]. 18276 a(x \ (y \ 1),x,y) = a(x \ 1,x,y). [hyper(286,a,6527,a(flip),b,18275,a),flip(a)]. 18277 a(x,x \ 1,(x \ 1) \ y) = a(x \ 1,x,y). [hyper(62,a,18224,a(flip),b,18276,a)]. 18278 x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x). [hyper(62,a,14694,a(flip),b,18277,a)]. 18279 x * a(y \ 1,y,x) = y \ ((y \ 1) \ x). [hyper(131,a,18278,a)]. 18280 K(x,L(T(y \ z,u \ ((u \ 1) \ z)),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). [para(18278(a,1),12223(a,1,2,3))]. 18281 (x \ ((x \ 1) \ y)) / y = a(x \ 1,x,y). [para(18279(a,1),13793(a,1,1))]. 18282 K(x,L(y,(z \ 1) * u,z)) = K(x,L(y,u,z)). [hyper(286,a,16699,a(flip),b,18235,a),flip(a)]. 18283 K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,(v5 \ 1) * (w \ K(z,u)),v5)). [para(17980(a,2),18235(a,1,2)),flip(a)]. 18285 L(x,x \ y,K(z,T(u,y))) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [para(7736(a,1),18091(a,1,2))]. 18286 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(18091(a,1),18152(a,1,2)),flip(a)]. 18287 x \ (T(y,z) * K(u,y)) = (x \ T(y,z)) * K(u,y). [para(18219(a,1),18091(a,1,1))]. 18288 K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(u,z)). [hyper(16805,a,18286,a)]. 18289 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(15432,a,18286,a)]. 18290 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [hyper(62,a,16775,a,b,18286,a)]. 18291 K(x,(K(y,z) * (u \ 1)) * w) = K(x,(u \ w) * K(y,z)). [hyper(13863,a,18288,a)]. 18292 K(x,((y / z) \ u) * K(z,w)) = K(x,(y / T(z,w)) \ u). [para(6605(a,1),18288(a,1,2,1)),flip(a)]. 18293 K(x,((y \ 1) \ z) * K(u,w)) = K(x,(y \ K(w,u)) \ z). [para(13512(a,1),18288(a,1,2,1)),flip(a)]. 18294 K((x \ y) \ y,(z \ u) * K(w,v5)) = K(x,T(z \ (K(w,v5) * u),y)). [hyper(7986,a,18289,a),flip(a)]. 18295 K(x,y \ (K(z,T(u,w)) * v5)) = K(x,(y \ v5) * K(z,u)). [hyper(286,a,15399,a(flip),b,18289,a),flip(a)]. 18296 K(x \ 1,y \ (K(z,u) * w)) = K(x,(w \ y) * K(u,z)). [hyper(62,a,16912,a,b,18289,a)]. 18297 x * K(x,(y \ z) * K(u,w)) = T(x,y \ (K(u,w) * z)). [para(18289(a,1),4659(a,2,2)),flip(a)]. 18298 K(x,(y \ (z * u)) * K(z,w)) = K(x,y \ (T(z,w) * u)). [para(4675(a,1),18289(a,1,2,2)),flip(a)]. 18300 K(x,(y \ z) * K(u,w)) * K(x,K(y,K(w,u) * z)) = K(x,(K(u,w) * z) / y). [para(18289(a,1),14727(a,1,1))]. 18301 K(x,y \ (K(z,T(u,w)) * v5)) != v6 | K(x,(y \ v5) * K(z,u)) = v6. [para(18289(a,2),15424(a,1))]. 18302 K(K(x,(x \ (y * z)) * K(u,z)) * w,v5) = K(K(x,y * T(z,u)) * w,v5). [para(18289(a,1),15290(a,1,1,1))]. 18303 x * K(x,(y \ z) * K(u,w)) = T(x,(K(w,u) * y) \ z). [para(18290(a,1),4659(a,2,2)),flip(a)]. 18304 K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,w) * z) \ u). [para(4675(a,1),18290(a,1,2,1)),flip(a)]. 18305 K(x,(y * (K(z,y) * u)) \ w) = K(x,((y * u) \ w) * K(y,z)). [para(5885(a,1),18290(a,1,2,1))]. 18307 K(K(x * K(y,z),(x \ u) * K(y,z)) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(18290(a,1),16021(a,1,1,1))]. 18308 K(x,K(K(y,z) * u,(u \ w) * K(z,y)) * (w \ v5)) = K(x,T(w,u * K(y,z)) \ v5). [para(18290(a,1),15214(a,1,2,1))]. 18309 K(x,K(y,z) * ((u \ 1) * w)) = K(x,(u \ w) * K(z,y)). [hyper(17117,a,18291,a)]. 18310 K(x,(y \ z) * K(u,w)) = K(x,(K(u,w) / y) * z). [para(13636(a,1),18291(a,1,2,1)),flip(a)]. 18311 K(x,(K(y,z) / u) * w) = K(x,K(z,y) * (u \ w)). [hyper(15222,a,18310,a),flip(a)]. 18312 K(x,(K(y,z) / u) * w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(18310(a,1),15222(a,1))]. 18313 K(x,K(y,K(z,u) * (w \ v5))) * K(x,y * (v5 \ (w * K(z,u)))) = K(x,(v5 \ ((K(u,z) / w) \ 1)) * y). [para(18311(a,1),13597(a,1,1,2))]. 18314 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [hyper(15095,a,18292,a)]. 18315 K(x * K(y,z),u / (K(z,T(y,w)) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). [hyper(62,a,17682,a(flip),b,18295,a)]. 18316 K(x \ 1,(y \ z) * K(u,w)) = K(x,(z \ y) * K(w,u)). [hyper(62,a,18289,a(flip),b,18296,a)]. 18317 T(x,y \ (K(z,u) * w)) = T(x,(y \ w) * K(z,u)). [hyper(4663,a,18297,a),flip(a)]. 18318 K(x,T(y,((K(z,u) / w) \ v5) * K(z,u))) * (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) = (((w \ K(z,u)) \ 1) * (K(z,T(u,w)) * v5)) * K(x,y). [para(18317(a,1),13881(a,1,1,2))]. 18319 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [hyper(15222,a,18298,a)]. 18320 T(x,(K(y,z) * u) \ w) = T(x,(u \ w) * K(z,y)). [hyper(4663,a,18303,a),flip(a)]. 18321 T(x,T(y,z) * (z \ K(u,w))) = T(x,(z \ y) * K(u,w)). [hyper(62,a,16125,a,b,18320,a)]. 18322 T(x,((y \ 1) * K(z,u)) * w) = T(x,(y \ w) * K(z,u)). [hyper(62,a,13688,a,b,18320,a)]. 18323 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(15222,a,18304,a)]. 18324 K(x,((y \ z) \ u) * K(z,y)) = K(x,(z / y) \ u). [hyper(62,a,14743,a(flip),b,18309,a),flip(a)]. 18325 K(x,((y \ 1) \ z) * K(u,w)) = K(x,K(w,u) * (y * z)). [para(4893(a,1),18309(a,1,2,2,1)),flip(a)]. 18326 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [hyper(62,a,13134,a(flip),b,18314,a),flip(a)]. 18327 K(x,((y \ z) * K(u,w)) \ 1) = K(x,(z \ y) * K(w,u)). [hyper(6476,a,18316,a)]. 18328 K(x,K(y * z,u) * (w \ (u * v5))) = K(x,w \ (T(u,y \ z) * v5)). [hyper(17725,a,18319,a)]. 18329 T(x,((y * K(z,u)) * w) \ v5) = T(x,((y * w) \ v5) * K(z,u)). [hyper(62,a,17903,a(flip),b,18321,a)]. 18330 T(x,K(y,z) * ((u \ 1) * w)) = T(x,(u \ w) * K(y,z)). [hyper(62,a,17026,a(flip),b,18322,a)]. 18331 K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). [hyper(15096,a,18323,a)]. 18332 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(11413(a,1),18323(a,1,2)),flip(a)]. 18333 T(x,(T(y,z) * z) \ u) = x * K(x,(z * y) \ u). [para(18332(a,1),4659(a,2,2))]. 18334 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(T(z,y) * y,u) \ 1). [para(4619(a,2),18332(a,1,2)),flip(a)]. 18335 K((T(x,y) * y) \ z,u) = (w * K(u,(y * x) \ z)) \ w. [para(18332(a,1),6895(a,1,1,2)),flip(a)]. 18336 K(x,(T(y,z * u) * T(u * z,u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(12112(a,1),18332(a,1,2,1,1))]. 18337 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [hyper(4730,a,18333,a),flip(a)]. 18338 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,K(y,z) * (u * w)). [hyper(15222,a,18325,a)]. 18340 K(x,(y \ K(z,u)) \ w) = K(x,K(z,u) * (y * w)). [hyper(62,a,18293,a(flip),b,18325,a)]. 18341 K(x,(K(y,z) / u) \ w) = K(x,K(y,z) * (u * w)). [hyper(15422,a,18340,a)]. 18342 K(x,K(y \ K(z,u),K(z,u) * (y * w)) * (w \ v5)) = K(x,T(w,K(z,u) / y) \ v5). [para(18341(a,1),16122(a,1,2,1))]. 18343 K(x,K(y,z) * ((u \ w) \ 1)) = K(x,(w \ u) * K(y,z)). [para(6401(a,1),18327(a,1,2))]. 18344 T(x,y \ (z * K(u,w))) = T(x,(y \ z) * K(u,w)). [hyper(17034,a,18330,a)]. 18345 T(x,(y * K(z,u)) \ w) = T(x,(y \ w) * K(u,z)). [hyper(17029,a,18330,a)]. 18346 T(x,((y * z) \ y) * K(u,w)) = T(x,z \ K(u,w)). [hyper(62,a,17039,a(flip),b,18345,a),flip(a)]. 18347 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [hyper(286,a,15072,a(flip),b,18335,a),flip(a)]. 18348 K((T(x,y) * y) \ z,u) != w | K((y * x) \ z,u) = w. [para(18335(a,2),6902(a,1))]. 18349 K((x * y) \ z,T(u,x * y)) = K(z / (T(y,x) * x),u). [hyper(12120,a,18347,a),flip(a)]. 18350 K((x * y) \ z,u \ 1) = K(z \ (T(y,x) * x),u). [hyper(6802,a,18347,a),flip(a)]. 18351 K((T(x,y) * y) \ (z \ u),L(w,z \ u,z)) = K((z * (y * x)) \ u,w). [hyper(286,a,11742,a(flip),b,18347,a),flip(a)]. 18352 K((T(x,y \ T(z,y)) * (y \ T(z,y))) \ u,w) = K(((T(y,z) \ z) * x) \ u,w). [para(3956(a,2),18347(a,2,1,1))]. 18353 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(18347(a,1),7613(a,1,2))]. 18354 K((T(x,T(y,z)) * (y * K(z,y))) \ u,w) = K(((y * K(z,y)) * x) \ u,w). [para(8314(a,1),18347(a,1,1,1,1))]. 18355 K((T(x,y * z) * (T(z,y) * y)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). [para(12115(a,1),18347(a,1,1,1,1))]. 18356 K(x \ (T(y,z) * z),u) = K(x \ (z * y),u). [hyper(6802,a,18350,a),flip(a)]. 18357 K(x \ ((y \ z) * y),u) = K(x \ (y * (z / y)),u). [para(110(a,1),18356(a,1,1,2,1))]. 18359 K(x \ ((y \ z) * y),u) != w | K(x \ T(z,y),u) = w. [para(18357(a,2),16081(a,1))]. 18365 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,K(v5,w) * ((u \ z) * y)). [hyper(62,a,17786,a,b,18338,a)]. 18366 K(x,(y \ z) \ K(u,w)) = K(x,(z \ y) * K(u,w)). [hyper(15221,a,18343,a)]. 18367 K(x / (T(y,z) * z),u) = K(x / (z * y),u). [hyper(8250,a,18349,a),flip(a)]. 18368 K(x / ((y \ z) * y),u) = K(x / (y * (z / y)),u). [para(110(a,1),18367(a,1,1,2,1))]. 18370 K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. [para(18368(a,2),16079(a,1))]. 18371 K(x,(((y / z) * u) * z) / y) = K(x,L(T(u,z \ y),y,z)). [hyper(286,a,15497,a,b,18182,a),flip(a)]. 18372 K(x,L(T(y,z \ u),u,z)) * u = ((u / z) * K(x,y)) * z. [para(15497(a,2),18197(a,1,1))]. 18373 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(11733(a,1),18240(a,1,2))]. 18375 K(x,K(y,z) * (u * (w \ z))) = K(x,u * (w \ (y * (z / y)))). [para(18373(a,1),17050(a,1,2,2)),flip(a)]. 18376 K(x,y * ((z * (u \ w)) * K(v5,v5 \ w))) = K(x,y * (z * (u \ (v5 * (w / v5))))). [para(18373(a,1),17272(a,2,2,2,2))]. 18378 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,u / w)) * w) / u). [para(12178(a,1),18371(a,1,2,1,1)),flip(a)]. 18379 K(x,L(T(y,(z \ u) \ u),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(18184(a,1),18372(a,1,1))]. 18380 a(x,L(y \ 1,z,K(u,w)),T(y,a(w,z,u))) = a(x,y \ 1,y). [para(18141(a,2),18113(a,1,2))]. 18381 L(x,y,T(z,u)) \ L(x,y,z) = a(u,z * y,K(z,x)). [para(9518(a,1),18130(a,1,3)),flip(a)]. 18382 L(x,y,T(z,u)) \ L(x,y,z) = a(u,y,K(z,x)). [hyper(286,a,18159,a(flip),b,18381,a),flip(a)]. 18384 a(x,y,K(z,u)) * L(x,y,z) = L(x,y,T(z,u)). [hyper(38,a,16730,a,b,18382,a)]. 18385 x * T(x \ L(x,y,z),u) = L(x,y,T(z,u)). [hyper(62,a,14524,a(flip),b,18384,a)]. 18386 T((x * y) \ (L(x,z,u) * y),w) = (x * y) \ (L(x,z,T(u,w)) * y). [para(18385(a,1),1331(a,1,2,1)),flip(a)]. 18387 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = (L(x,y,K(z,u)) \ 1) * L(T(x,x \ 1),w,v5). [para(18177(a,1),1820(a,1,2,1)),flip(a)]. 18388 L(x,x \ y,K(z,u)) \ w = L(x,y,K(z,u)) \ w. [hyper(62,a,18156,a(flip),b,18230,a),flip(a)]. 18389 (x \ (y * z)) * K(y,y * z) = x \ (T(y,z * y) * z). [para(12067(a,1),18248(a,1,2)),flip(a)]. 18390 (x \ (y * z)) * K(y,y * z) = x \ (T(y,y * z) * z). [para(3989(a,1),18389(a,2,2,1))]. 18391 K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ T(u * w,u))). [para(18390(a,1),17118(a,1,2,2))]. 18392 T(x * K(y,z),x \ T(y,z)) = ((x * K(y,z)) \ y) \ y. [hyper(62,a,15256,a(flip),b,18259,a)]. 18393 T(x * K(y,z),x \ T(y,z)) = (K(z,y) * (x \ y)) \ y. [para(18258(a,1),18392(a,2,1))]. 18394 T(x * K(y,z),x \ T(y,z)) = (x \ y) \ T(y,z). [hyper(286,a,13664,a(flip),b,18393,a),flip(a)]. 18395 K(x,T(y,z \ (u \ (K(w,v5) * v6)))) = K(x,T(y,v6 \ (z * u))). [para(18140(a,1),18262(a,1,2))]. 18396 K((x * y) / (x * T(z,y)),u) = K(y / z,L(T(u,x * z),z,x)). [hyper(62,a,16083,a,b,18270,a),flip(a)]. 18397 K(x,(y * (K(z,y) * u)) \ w) = K(x,(T(y,z) * u) \ w). [hyper(286,a,18331,a(flip),b,18305,a),flip(a)]. 18398 K(x,(((y * z) / y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(6011(a,2),18397(a,1,2,1))]. 18399 T(x,((y * z) \ u) * K(z,w)) = T(x,(y * T(z,w)) \ u). [para(6864(a,1),18329(a,1,2,1)),flip(a)]. 18400 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [hyper(15163,a,18399,a)]. 18401 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [hyper(62,a,17096,a(flip),b,18375,a),flip(a)]. 18402 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(11(a,1),18401(a,1,2,2,2,2)),flip(a)]. 18403 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [hyper(62,a,17168,a(flip),b,18402,a)]. 18404 a(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = a(x,y \ 1,y). [para(18098(a,2),18380(a,1,3))]. 18405 K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,z \ (v6 * (v5 \ 1)))). [hyper(62,a,14008,a(flip),b,18395,a)]. 18406 (x * (L(y \ 1,z,K(u,w)) * L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). [para(18404(a,1),81(a,1,2))]. 18407 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(16689(a,1),18215(a,1,1))]. 18408 ((x * y) * K(z,T(u,y))) \ ((L(x,y,K(z,u)) * K(w,v5)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(18407(a,1),5869(a,1,1))]. 18409 L(x,K(y,z) * u,K(w,v5)) * ((K(y,z) * u) * T(K(w,v5),K(z,y) * u)) = (x * (K(y,z) * u)) * K(w,T(v5,K(y,z) * u)). [para(14716(a,2),18407(a,1,2))]. 18411 K(x,L((y \ (z * u)) \ 1,y,z \ 1)) = K(x \ 1,(z \ y) \ u). [hyper(11804,a,18264,a)]. 18412 K(L(x \ (y * z),x,y \ 1),u) = K((y \ x) \ z,u). [hyper(286,a,15072,a(flip),b,18265,a),flip(a)]. 18413 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(11807,a,18412,a)]. 18414 K(x \ (T(y,z) * u),L(w,x,y \ 1)) = K((T(y,z) \ x) \ u,w). [hyper(18133,a,18413,a)]. 18415 K((x * y) \ z,L(u,z,x \ 1)) = K((x \ z) \ y,u \ 1). [hyper(11817,a,18413,a)]. 18416 K(x \ ((y \ z) * u),L(w,x,z \ y)) = K(((y \ z) \ x) \ u,w). [hyper(62,a,18044,a(flip),b,18413,a)]. 18417 K(x \ (((y * z) / y) * u),L(w,x,z \ 1)) = K((((y * z) / y) \ x) \ u,w). [hyper(62,a,16778,a(flip),b,18413,a)]. 18418 K(x \ ((y \ 1) * z),L(u,x,y)) = K(((y \ 1) \ x) \ z,u). [hyper(62,a,16699,a(flip),b,18413,a)]. 18419 K(T(x,y) \ (y * z),L(u,T(x,y),y \ 1)) = K((T(y,x) \ x) \ z,u). [para(3928(a,2),18413(a,2,1,1))]. 18420 K(K((x \ y) \ z,u) * w,v5) != v6 | K(K(y \ (x * z),u) * w,v5) = v6. [para(18413(a,1),17079(a,1,1,1))]. 18421 K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). [hyper(286,a,6787,a(flip),b,18415,a),flip(a)]. 18422 K((x * y) \ z,L(u,z,x \ 1)) != w | K(y \ (x \ z),u) = w. [para(18415(a,2),6802(a,1))]. 18424 K(((x * y) \ 1) \ z,L(u,z,(y \ 1) \ 1)) = K((x \ 1) \ ((y \ 1) \ z),u). [para(6394(a,1),18421(a,1,1,1))]. 18425 K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,(x * y) \ 1)) = K(z \ ((y * x) \ u),w). [para(11378(a,1),18421(a,2,1,2))]. 18426 K(((x * K(y,z)) * T(u,x)) \ w,L(v5,w,u \ 1)) = K((K(y,T(z,x * u)) * x) \ (u \ w),v5). [para(15727(a,1),18421(a,1,1,1))]. 18427 K(x \ ((y \ 1) * z),L(u,x,y)) = K(((x \ 1) / y) * z,u). [hyper(286,a,13540,a(flip),b,18418,a),flip(a)]. 18428 K((x * y) \ L(z,x \ 1,x),u) = K(((y \ 1) / x) * z,u). [hyper(11910,a,18427,a)]. 18429 K((((x \ y) \ 1) / x) * z,u) = K(y \ L(z,x \ 1,x),u). [para(10(a,1),18428(a,1,1,1)),flip(a)]. 18430 K((((x \ (y \ 1)) \ 1) / x) * z,u) = K(y * L(z,x \ 1,x),u). [hyper(286,a,13494,a(flip),b,18429,a),flip(a)]. 18431 K(K((x \ ((x \ y) \ 1)) * z,u) * w,v5) = K(K(y \ L(z,x \ 1,x),u) * w,v5). [para(18429(a,1),16054(a,2,1,1))]. 18433 K((T(x,y) * z) \ u,L(w,u,x \ 1)) != v5 | K(z \ (T(x,y) \ u),w) = v5. [para(16684(a,1),18422(a,1))]. 18434 K(x,y \ (K(z,u) * w)) != v5 | K(x,(y \ w) * K(z,u)) = v5. [para(107(a,1),18301(a,1,2,2,1,2))]. 18435 K(x,y \ (z * K(u,w))) != v5 | K(x,(y \ z) * K(u,w)) = v5. [para(8146(a,1),18301(a,1,2,2))]. 18436 K(x,y \ (((z * u) / z) \ w)) != v5 | K(x,(y \ (u \ w)) * K(u,z)) = v5. [para(5716(a,2),18434(a,1,2,2))]. 18438 K((x * y) \ (z * T(x,y)),u) = K((x * z) / (x * T(y,z)),u). [hyper(286,a,14375,a(flip),b,18396,a)]. 18439 K((x * y) / (x * T(z,y)),u) = K((z * x) \ (y * x),u). [hyper(62,a,17453,a(flip),b,18438,a),flip(a)]. 18440 K(((x / y) * z) / ((x / y) * T(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). [hyper(286,a,16058,a(flip),b,18439,a),flip(a)]. 18441 K(x,L((y * z) \ u,u,y \ 1)) = K(x \ 1,(y \ u) \ z). [hyper(11848,a,18411,a)]. 18442 K(x,L((y * z) \ u,u,y \ 1)) = K(x,((y \ u) \ z) \ 1). [hyper(286,a,6458,a(flip),b,18441,a),flip(a)]. 18443 K(x,L((y * z) \ u,u,y \ 1)) != w | K(x,z \ (y \ u)) = w. [para(18442(a,2),6979(a,1))]. 18444 K(x,L((T(y,z) * u) \ w,w,y \ 1)) = K(x,u \ (T(y,z) \ w)). [hyper(18443,a,16684,a),flip(a)]. 18445 K(x \ T(y,z),L(u,x,y \ z)) = K(((z \ y) \ x) \ z,u). [hyper(18359,a,18416,a)]. 18446 K(((x \ y) \ z) \ x,u) = K(((y \ x) * z) \ x,u). [hyper(15331,a,18445,a),flip(a)]. 18447 (x * K(((y \ z) * u) \ z,w)) \ x = K(w,((z \ y) \ u) \ z). [para(18446(a,1),6895(a,1,1,2))]. 18448 K(x \ K(((y \ z) * u) \ z,w),((z \ y) \ u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). [para(18446(a,1),8519(a,1,1,2))]. 18450 K(x,((y \ z) \ u) \ y) = K(x,((z \ y) * u) \ y). [hyper(15158,a,18447,a),flip(a)]. 18451 K(((x / (y \ 1)) / y) * z,u) = K(x * L(z,y \ 1,y),u). [para(6410(a,1),18430(a,1,1,1,1))]. 18452 K(x * (y \ K(z * (((u / (w \ 1)) / w) * v5),z)),v6) = K(x * (y \ K(u * L(v5,w \ 1,w),z)),v6). [para(18451(a,1),17140(a,2,1,2,2))]. 18454 K(x,L(y,z,L(u,w \ v5,w))) = K(x,L(y,z,L(u,v5,w))). [hyper(286,a,14201,a(flip),b,18193,a),flip(a)]. 18455 K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * w) * (v5 \ K(z,u))). [hyper(7036,a,18214,a)]. 18456 K((x * K(y,K(z,u) * w)) / v5,v6) = K(x * (v5 \ K(y,w)),v6). [hyper(286,a,17477,a(flip),b,18269,a),flip(a)]. 18457 K(x * (y \ K(z,K(u,w) * v5)),v6) = K(x * (y \ K(z,v5)),v6). [hyper(18208,a,18456,a)]. 18458 K(x * (y \ K(z * K(u,w),v5)),v6) = K(x * (y \ K(v5,z)),v6). [hyper(62,a,17802,a,b,18457,a)]. 18459 K(x * (y \ K(K(z,u) * w,v5)),v6) = K(x * (y \ K(v5,w)),v6). [hyper(62,a,16207,a,b,18458,a)]. 18460 K(x,T(y \ (K(z,u) * w),v5)) = K(x,T((y \ w) * K(z,u),v5)). [hyper(7986,a,18294,a),flip(a)]. 18461 K(x,T((y \ z) * K(u,T(w,z)),v5)) = K(x,T(y \ (z * K(u,w)),v5)). [para(8146(a,1),18460(a,1,2,1,2)),flip(a)]. 18462 K(x,y \ (T(z,u \ w) * v5)) = K(x,y \ (T(z,u * w) * v5)). [hyper(62,a,18319,a(flip),b,18328,a),flip(a)]. 18463 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T((T(z,y) * y) \ 1,u)). [hyper(286,a,7968,a,b,18334,a),flip(a)]. 18464 K(x,y * (z \ (T(u,u * w) * w))) = K(x,y * (z \ (w * u))). [hyper(286,a,18403,a(flip),b,18391,a),flip(a)]. 18465 K(x,y * (z \ (u * w))) * K(x,K(y,z \ (u * w))) = K(x,(z \ (T(w,w * u) * u)) * y). [para(18464(a,1),14882(a,1,1))]. 18467 K(x,T(y,((z \ K(u,w)) / v5) * v6)) = K(x,T(y,(v6 \ z) * v5)). [hyper(286,a,16781,a(flip),b,18405,a),flip(a)]. 18468 K(x,T(y,(z \ (u \ K(w,v5))) * v6)) = K(x,T(y,(v6 \ u) * z)). [hyper(15777,a,18467,a)]. 18469 K(x,T(y \ (z * K(u,w)),v5)) = K(x,T(K(w,u) * (y \ z),v5)). [hyper(62,a,16117,a(flip),b,18461,a),flip(a)]. 18470 K(x,T((y \ z) \ K(u,w),v5)) = K(x,T(K(w,u) * (z \ y),v5)). [hyper(17376,a,18469,a)]. 18472 K(x,(y * z) \ K(u,T(z,y) * y)) = K(x,T(y \ (T(z,y) \ 1),u)). [hyper(286,a,13789,a(flip),b,18463,a),flip(a)]. 18473 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,(y * z) \ K(u,y * z)). [para(12122(a,1),18472(a,1,2,2)),flip(a)]. 18474 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,z \ (y \ K(y * z,u))). [hyper(286,a,17142,a(flip),b,18473,a),flip(a)]. 18475 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(y * z,u) \ 1). [para(4619(a,2),18473(a,2,2))]. 18477 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T((y * z) \ 1,u)). [hyper(286,a,7968,a,b,18475,a),flip(a)]. 18478 K(x,T(y \ (T(z,y) \ 1),u)) = K(x,T(z \ (y \ 1),u)). [hyper(286,a,13789,a(flip),b,18477,a),flip(a)]. 18479 K(x,y \ (z \ K(z * y,u))) = K(x,T(y \ (z \ 1),u)). [hyper(62,a,18478,a(flip),b,18474,a),flip(a)]. 18480 K(x,y \ ((z \ 1) \ K(z \ y,u))) = K(x,T(y \ ((z \ 1) \ 1),u)). [para(13495(a,1),18479(a,1,2,2,2))]. 18481 K(x,y \ ((L(y,z,u) \ 1) \ a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). [para(13770(a,1),18480(a,1,2,2,2))]. 18482 K(x,((y / (z * y)) * u) / y) = K(x,T(y \ (z \ u),y)). [hyper(14618,a,18234,a),flip(a)]. 18483 K(x,((y / (z * y)) * u) / y) = K(x,(z \ u) / y). [hyper(286,a,8169,a(flip),b,18482,a),flip(a)]. 18484 K(x,(R(y \ 1,y,z) * u) / z) = K(x,(y \ u) / z). [hyper(62,a,12018,a,b,18483,a)]. 18485 K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,((R(y \ 1,y,z) * u) / z) \ 1). [hyper(8520,a,18484,a),flip(a)]. 18486 K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (z * u)) / T(z,u)). [para(10601(a,1),18484(a,1,2))]. 18487 K(x,L(y,z,u \ 1)) * ((u \ z) \ 1) = (u \ (z * K(y,x))) \ 1. [para(11785(a,1),18241(a,1,1))]. 18488 K(x,K(y,z \ u)) * K(x,y * ((z \ (u * K(w,v5))) \ 1)) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). [para(18487(a,1),16140(a,1,2,2,2))]. 18489 L(x,x \ y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [para(16689(a,1),18285(a,1,1))]. 18490 L(x,y,K(z,u)) \ (K(z,u) * y) = (x \ y) * K(z,T(u,y)). [hyper(62,a,18388,a(flip),b,18489,a)]. 18492 K(x,K(y,K(z,u) * w) * (((v5 \ w) * K(z,T(u,w))) * v6)) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [para(18490(a,1),17073(a,1,2,2,1))]. 18493 K((x * (T(y,z) * z)) \ u,w) = K((x * (z * y)) \ u,w). [hyper(11763,a,18351,a)]. 18494 K((T(x,y) \ y) \ z,u) = K((x \ T(y,x)) \ z,u). [hyper(62,a,18413,a(flip),b,18419,a),flip(a)]. 18495 L(a(x,y,K(z,u)) * w,v5,K(v6,v7)) = L(w,v5,K(v6,v7)) * a(x,y,K(z,u)). [para(18098(a,2),18109(a,2,1))]. 18496 ((K(x,y) / (z * u)) * z) * a(y,u,K(x,z)) = K(x,y) / L(u,z,z \ 1). [hyper(14205,a,18135,a)]. 18497 K(x,T((K(y,z) * u) \ w,v5) \ v6) = K(x,T(u \ (K(z,y) * w),v5) \ v6). [para(5839(a,1),18154(a,1,2,1,1,1))]. 18498 K(x,L(y,((z * u) \ 1) \ w,u \ (z \ 1))) = K(x,L(y,w,u \ (z \ 1))). [hyper(286,a,14339,a(flip),b,18188,a),flip(a)]. 18499 K(K(x,(y * z) * (x \ K(u,z))) * w,v5) = K(K(x,y * T(z,u)) * w,v5). [para(13821(a,1),18302(a,1,1,1))]. 18500 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [hyper(62,a,14053,a(flip),b,18336,a)]. 18501 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(62,a,18332,a(flip),b,18500,a),flip(a)]. 18502 K(((T(x,T(y,z)) * y) \ u) * K(y,z),w) = K(((y * K(z,y)) * x) \ u,w). [hyper(17522,a,18354,a)]. 18503 K((T(x,y * z) * (y * z)) \ u,w) = K(((T(z,y) * y) * x) \ u,w). [hyper(62,a,18493,a(flip),b,18355,a)]. 18504 K(((T(x,y) * y) * z) \ u,w) = K(((y * x) * z) \ u,w). [hyper(18348,a,18503,a),flip(a)]. 18506 K(((x / y) * z) / (x * K(y,z)),u) = K(T(x,y) \ (z * (x / y)),u). [para(6822(a,1),18440(a,1,1,2))]. 18507 K(((x / y) * z) * (x \ K(z,y)),u) = K(T(x,y) \ (z * (x / y)),u). [hyper(15462,a,18506,a)]. 18508 K(T(x,y) \ (z * (x / y)),u) = K(((x / y) * T(z,y)) / x,u). [hyper(62,a,18212,a(flip),b,18507,a),flip(a)]. 18509 K(((x / y) * T(z,y)) / x,u) = K(x \ (z * (y \ x)),u). [hyper(62,a,17232,a(flip),b,18508,a),flip(a)]. 18510 K((x \ 1) \ (y * (z \ (x \ 1))),u) = K((((x \ 1) / z) * T(y,z)) * x,u). [hyper(13647,a,18509,a),flip(a)]. 18511 (K(x,y) / (z * u)) * L(z,u,K(y,x)) = K(x,y) / L(u,z,z \ 1). [hyper(62,a,18116,a(flip),b,18496,a)]. 18512 K(x,L(y,a(z,z \ 1,(z \ 1) \ u),u \ (z \ 1))) = K(x,y). [hyper(62,a,18054,a(flip),b,18498,a),flip(a)]. 18513 K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * K(u,y)) * x) \ z,w). [hyper(62,a,16819,a(flip),b,18502,a)]. 18514 K(((T(x,y) * y) \ z) * K(y,u),w) = K(((y * x) \ z) * K(y,u),w). [hyper(286,a,17586,a(flip),b,18513,a),flip(a)]. 18516 K(((T(x,T(y,z)) * y) \ u) * K(y,w),v5) = K(((y * x) \ u) * K(y,w),v5). [hyper(62,a,16819,a,b,18514,a)]. 18517 K((((x \ 1) / y) * T(z,y)) * x,u) = K(x * (z * (y \ (x \ 1))),u). [hyper(13551,a,18510,a),flip(a)]. 18518 K((T(x,T(y,z)) * T(y,u)) \ w,v5) = K(((y * x) \ w) * K(y,u),v5). [hyper(62,a,17439,a(flip),b,18516,a)]. 18519 K(((x * y) \ z) * K(x,u),w) = K((T(x,u) * y) \ z,w). [hyper(18348,a,18518,a),flip(a)]. 18520 K((((x * y) * z) \ u) * K(y,x),w) = K((T(x * y,x) * z) \ u,w). [hyper(15296,a,18519,a)]. 18521 K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). [hyper(15094,a,18519,a)]. 18522 K((((x * y) / x) * z) \ u,w) = K((T(y,x) * z) \ u,w). [hyper(62,a,17420,a,b,18519,a)]. 18523 K(K(x \ 1,y) * (((z * x) \ 1) \ u),w) = K((T(x \ 1,y) * (z \ 1)) \ u,w). [para(6394(a,1),18521(a,1,1,2,1))]. 18524 K((T(x,y) * z) \ u,w \ 1) = K(u \ (((y * x) / y) * z),w). [hyper(6802,a,18522,a),flip(a)]. 18525 K(x,(((y * z) / y) * u) \ w) * a(v5,v6,K((T(z,y) * u) \ w,x)) = K(x,L((((y * z) / y) * u) \ w,v6,v5)). [para(18522(a,1),11746(a,1,2,3))]. 18526 K(x \ (((y * z) / y) * u),w) = K(x \ (T(z,y) * u),w). [hyper(6802,a,18524,a),flip(a)]. 18527 K((T(x * y,x) * z) \ u,w) = K(((T(x,y) * y) * z) \ u,w). [hyper(62,a,17585,a(flip),b,18520,a),flip(a)]. 18528 K((T(x * y,x) * z) \ u,w) = K(((y * x) * z) \ u,w). [hyper(286,a,18504,a(flip),b,18527,a),flip(a)]. 18529 K(((x * y) * z) \ u,L(w,u,(y * x) \ 1)) = K(z \ (T(y * x,y) \ u),w). [hyper(18433,a,18528,a),flip(a)]. 18530 K(x \ K(((y * z) * u) \ w,v5),(T(z * y,z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). [para(18528(a,1),8519(a,1,1,2))]. 18531 K(x,L(y,a(z,z \ 1,u),L(u,1,z))) = K(x,L(y,u,L(u,z \ 1,z))). [hyper(62,a,18454,a(flip),b,18190,a)]. 18532 K(x,L(y,a(z,z \ 1,u),u)) = K(x,L(y,u,L(u,z \ 1,z))). [para(338(a,1),18531(a,1,2,3))]. 18533 K(x,L(y,a(z,z \ 1,u),u)) = K(x,y). [hyper(286,a,17621,a(flip),b,18532,a),flip(a)]. 18535 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,y). [para(7002(a,1),18533(a,1,2,2))]. 18536 K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [para(4913(a,1),18236(a,2,2,1))]. 18537 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(62,a,14605,a(flip),b,18536,a),flip(a)]. 18538 K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z \ 1) \ u). [para(10(a,1),18537(a,1,2,2)),flip(a)]. 18539 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(u \ (z \ 1),u) * w))). [para(11412(a,1),18537(a,1,2,2))]. 18540 K(x,L(T(y,z \ ((z \ 1) \ u)),z,z \ 1) \ u) = K(x,(z \ ((z \ 1) \ u)) / y). [hyper(13153,a,18538,a),flip(a)]. 18541 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(u \ ((u \ 1) \ w),y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). [para(18538(a,1),15005(a,1,1))]. 18542 K((((x * y) / x) \ z) \ u,w) = K(z \ (T(y,x) * u),L(w,z,y \ 1)). [hyper(62,a,18526,a(flip),b,18417,a),flip(a)]. 18543 K((((x * y) / x) \ z) \ u,w) = K((T(y,x) \ z) \ u,w). [hyper(286,a,18414,a(flip),b,18542,a),flip(a)]. 18544 K((K(x,y) * (x \ z)) \ u,w) = K((T(x,y) \ z) \ u,w). [para(5716(a,1),18543(a,1,1,1))]. 18545 K(((x \ y) \ z) * K(u,x),w) = K((T(x,u) \ y) \ z,w). [hyper(62,a,17377,a(flip),b,18544,a)]. 18546 K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). [hyper(62,a,17857,a(flip),b,18545,a),flip(a)]. 18547 K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). [hyper(62,a,18494,a(flip),b,18546,a)]. 18548 K((x / y) \ (z \ u),L(w,y \ T(x,y),z)) = K((z * (y \ T(x,y))) \ u,w). [hyper(11909,a,18547,a),flip(a)]. 18549 K(((x * y) \ 1) \ z,L(u,z,y)) = K((x \ 1) \ ((y \ 1) \ z),u). [hyper(62,a,16699,a(flip),b,18424,a)]. 18550 K((x \ 1) \ ((y \ 1) \ z),u) = K((x * y) * z,L(u,z,y)). [hyper(13551,a,18549,a),flip(a)]. 18552 K((x * y) * z,L(u,z,y)) = K(x * ((y \ 1) \ z),u). [hyper(13551,a,18550,a),flip(a)]. 18553 K((x * y) * (z \ 1),L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). [hyper(14461,a,18552,a)]. 18554 K(x * ((y \ 1) \ z),z) = K((x * y) * z,z). [hyper(11762,a,18552,a),flip(a)]. 18555 K((x * y) * a(y,z,z \ 1),L(u,a(y,z,z \ 1),y)) = K(x * R(y,z,z \ 1),u). [para(5994(a,1),18552(a,2,1,2))]. 18556 K((x * K(x * y,y \ 1)) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [para(10660(a,1),18552(a,1,1,1))]. 18557 K(x,K(L(y,z,u),(w * u) * z) * v5) = K(x,K(w * ((u \ 1) \ z),y) * v5). [para(18552(a,1),14720(a,1,2,1)),flip(a)]. 18558 K(x,K(y * ((z \ 1) \ u),w)) != v5 | K(x,K((y * z) * u,w)) = v5. [para(18552(a,1),16584(a,1,2))]. 18559 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(L(x,y,z),w)),v6). [para(18552(a,1),17171(a,1,1,1)),flip(a)]. 18560 K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,(z * u) * w)),v6). [para(18552(a,1),17792(a,1,1,2,2))]. 18561 K(x * ((y \ 1) \ z),z) = K(z * (x * y),z). [hyper(286,a,7011,a(flip),b,18554,a),flip(a)]. 18562 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y * ((u \ 1) * z),y)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(18561(a,1),8734(a,1,2,2))]. 18563 K((x * y) / z,L(u,z,y \ 1)) = K(x * ((y \ 1) \ (z \ 1)),u). [hyper(62,a,13606,a(flip),b,18553,a)]. 18564 K((x * y) / z,L(u,z,y \ 1)) = K(x * ((z / y) \ 1),u). [para(6431(a,1),18563(a,2,1,2))]. 18565 K((x * y) / z,L(u,z,y \ 1)) = K(x / (z / y),u). [hyper(286,a,13606,a(flip),b,18564,a),flip(a)]. 18566 K((x * y) / z,L(u,((x * y) / z) * z,y \ 1)) = K(x / (z / y),u). [hyper(11846,a,18565,a)]. 18567 K((x * y) / z,L(u,x * y,y \ 1)) = K(x / (z / y),u). [para(12(a,1),18566(a,1,2,2))]. 18569 K(x,(R(y \ 1,y,T(z,u)) * (u * z)) / z) = K(x,(y \ (u * z)) / z). [para(13889(a,1),18486(a,2,2))]. 18570 K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ (T(y * x,y) \ u),w). [hyper(62,a,14339,a(flip),b,18529,a)]. 18571 K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,K(w,(y * z) * u) * v5). [hyper(17092,a,18557,a),flip(a)]. 18572 K(x,K(y * ((z \ 1) \ u),w) * v5) != v6 | K(x,K(w,(y * z) * u) * v5) = v6. [para(18557(a,1),17092(a,1))]. 18574 K(x,K(y \ ((z \ 1) / u),w) * v5) = K(x,K(w,(y * u) * z) * v5). [hyper(16123,a,18571,a)]. 18575 K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * T(y,v6)) * z) * v5). [hyper(17906,a,18574,a)]. 18576 K(x,K(((y \ 1) \ z) * u,w) * v5) = K(x,K(w,(u * y) * z) * v5). [hyper(14799,a,18574,a)]. 18577 K(x,K(y,(z * T(u,w)) * v5) * v6) = K(x,K(y,(z * u) * v5) * v6). [hyper(62,a,18576,a(flip),b,18575,a),flip(a)]. 18578 K(x,K(y * (z * T(u,w)),v5) * v6) = K(x,K(v5,(z * u) * y) * v6). [hyper(16099,a,18577,a)]. 18579 K(x,x * y) * (z * L(u,z,K(y,x))) = ((K(x,y) * z) * u) * (R(x,y,x) \ x). [hyper(62,a,15528,a(flip),b,18108,a),flip(a)]. 18580 T(x,(K(y,y * z) * (u * L(w,u,K(z,y)))) \ 1) = T(x,(y * ((K(y,z) * u) * w)) \ R(y,z,y)). [para(18108(a,1),6745(a,1,2,1))]. 18581 K(x,L(y,(z * K(u,T(w,v5))) * v6,K(w,T(u,v5)) / z)) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [para(7777(a,1),18237(a,1,2,3,1))]. 18582 K(x,L(y,K(z,u) / w,(v5 \ 1) \ 1)) = K(x,L(y,w \ K(z,u),v5)). [hyper(286,a,18282,a(flip),b,18283,a),flip(a)]. 18583 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,K(u,w) / z,v5)). [hyper(62,a,16699,a(flip),b,18582,a),flip(a)]. 18585 K(x,(y \ z) * K(u,w)) * K(x,K(y,z)) = K(x,(K(u,w) * z) / y). [para(15807(a,1),18300(a,1,2))]. 18586 K(x,K(y,z) * (u \ w)) * K(x,K(u,w)) = K(x,(K(z,y \ 1) * w) / u). [para(15217(a,1),18585(a,1,1))]. 18588 K(x,(K(y,z \ 1) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(62,a,17494,a(flip),b,18586,a),flip(a)]. 18589 K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(u,w))). [hyper(62,a,18213,a(flip),b,18588,a)]. 18591 K(x * K(y,z),u / (K(z,y) * x)) = K(x * K(y,z),(x \ u) * K(y,z)). [para(107(a,1),18315(a,1,2,2,1,2))]. 18592 K(x * K(y,z),(x \ u) * K(y,z)) = K(x * K(y,z),u * (x \ K(y,z))). [hyper(13759,a,18591,a),flip(a)]. 18593 K(K(x * K(y,z),u * (x \ K(y,z))) * w,v5) = K(K(K(z,y) * x,u) * w,v5). [para(18592(a,1),18307(a,1,1,1))]. 18595 K((T(x,y / z) * (z \ T(y,z))) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). [para(16343(a,1),18352(a,1,1,1,1))]. 18596 K(((T(x,y) \ y) * z) \ u,w) != v5 | K(((x \ T(y,x)) * z) \ u,w) = v5. [para(18352(a,1),18348(a,1))]. 18597 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(18337(a,1),18353(a,1,1))]. 18598 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(8439,a,18597,a),flip(a)]. 18599 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(62,a,12119,a(flip),b,18598,a),flip(a)]. 18600 T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). [hyper(62,a,8318,a(flip),b,18599,a),flip(a)]. 18601 K(x,(K(y,z) / (u / (y * z))) * T(w,u / (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [para(18600(a,1),14064(a,1,2,2))]. 18602 K(x,K(y,z) * (u * (w * (v5 \ z)))) = K(x,u * (w * (v5 \ (y * (z / y))))). [hyper(17055,a,18376,a)]. 18603 K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ (z * (u / z))))). [hyper(17056,a,18602,a)]. 18604 K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x \ 1) * u),w). [hyper(62,a,17486,a(flip),b,18523,a),flip(a)]. 18605 K((T(x \ 1,y) * (z \ 1)) \ u,w) = K((z * x) * (K(y,x) * u),w). [hyper(286,a,17504,a(flip),b,18604,a),flip(a)]. 18606 K((x * (T(y \ 1,z) \ 1)) * u,w) = K((x * y) * (K(z,y) * u),w). [hyper(13741,a,18605,a)]. 18607 K((x * y) * (K(z,y) * u),w) = K((x * T(y,z)) * u,w). [hyper(62,a,17902,a(flip),b,18606,a),flip(a)]. 18608 K((x * ((y * z) / y)) * u,w) = K((x * T(z,y)) * u,w). [hyper(62,a,16982,a,b,18607,a)]. 18609 K((T(x,y) * T(y,z)) * u,w) = K((((z * y) / z) * x) * u,w). [hyper(62,a,17654,a(flip),b,18608,a),flip(a)]. 18610 K((x * T(T(y,z),z)) * u,w) = K((x * y) * u,w). [para(204(a,1),18608(a,1,1,1,2)),flip(a)]. 18611 K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((z * ((y * z) \ 1)) * x) * u,w). [para(14056(a,1),18610(a,1,1,1))]. 18612 K((((x * y) / x) * z) * u,w) = K((T(y,x) * z) * u,w). [hyper(62,a,17633,a(flip),b,18609,a),flip(a)]. 18613 K(((L(x,y \ 1,y) / y) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). [para(235(a,1),18612(a,1,1,1,1,1))]. 18614 K((L(x / y,y,y \ 1) * z) * u,w) = K((T((y \ 1) * x,y) * z) * u,w). [para(5919(a,2),18613(a,1,1,1,1))]. 18615 K(x * (y \ K(((z \ 1) \ u) * w,v5)),v6) = K(x * (y \ K(v5,(w * z) * u)),v6). [hyper(62,a,16207,a,b,18560,a)]. 18616 T(x,(((K(y,z) * u) * w) * (R(y,z,y) \ y)) \ 1) = T(x,(u * L(w,u,K(z,y))) \ (K(y,y * z) \ 1)). [para(18579(a,1),13687(a,1,2,1))]. 18617 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,((K(z,u) * (y \ (z * u))) * w) * (R(z,u,z) \ z)). [para(18579(a,1),17073(a,1,2)),flip(a)]. 18618 K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(K(u,z) * x,y) * w,v5). [hyper(16097,a,18593,a)]. 18619 K(K(x,y * (x \ K(z,u))) * w,v5) = K(K(x,y) * w,v5). [hyper(286,a,16013,a(flip),b,18618,a),flip(a)]. 18622 K(K(x,y * T(z,u)) * w,v5) = K(K(x,y * z) * w,v5). [hyper(62,a,18499,a(flip),b,18619,a)]. 18624 K(K(x * (y * z),z) * u,w) = K(K(z,x * T(y,v5)) * u,w). [hyper(286,a,17145,a,b,18622,a)]. 18625 K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),L(x,y,z)) * v6,v7). [para(14373(a,1),18624(a,1,1,1)),flip(a)]. 18626 K(x,L(y \ ((z / T(u,z)) \ w),w,T(u,z) \ z)) = K(x,((T(z,u) / u) * y) \ w). [hyper(62,a,16698,a,b,18198,a)]. 18627 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (((z * y) \ 1) * z)) * u,w). [para(6418(a,1),18222(a,2,1,1,2))]. 18628 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,(K(y,T(z,w \ u)) * w) / u). [para(14974(a,2),18378(a,2,2,1,1))]. 18629 K(x,L(T(y,T(z,u)),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(7716(a,1),18379(a,1,1,2,1))]. 18630 K(x,L(T(y,z),z,z \ u)) * u = ((u / (z \ u)) * K(x,y)) * (z \ u). [para(15495(a,1),18629(a,1,1))]. 18632 K(K(x \ L(y,z \ 1,z),u) * w,v5) = K(K(u,(y \ (z \ x)) * z) * w,v5). [hyper(17565,a,18431,a),flip(a)]. 18633 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,(z \ (u \ y)) * u) * x,v5). [hyper(15093,a,18632,a)]. 18634 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(w,u * (z \ (u \ y))) * x,v5). [hyper(286,a,15439,a,b,18633,a),flip(a)]. 18635 K(x,L(T(y,z),u,u \ 1) \ z) = K(x,(u \ ((u \ 1) \ z)) / y). [para(13684(a,1),18540(a,1,2,1,1))]. 18636 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y \ 1)). [hyper(13154,a,18635,a),flip(a)]. 18637 K(x,(y \ ((y \ 1) \ z)) / u) != w | K(x,z / L(u,y,y \ 1)) = w. [para(18635(a,1),13154(a,1))]. 18639 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,T(z,w \ u)))). [hyper(286,a,18213,a(flip),b,18628,a),flip(a)]. 18640 K(x,L(T(K(y,z) / (u / w),w \ u),u,w)) = K(x,w * (u \ K(y,z))). [hyper(286,a,16205,a(flip),b,18639,a),flip(a)]. 18642 K(x,L(T((y / z) \ K(u,w),K(z,y)),y,z)) = K(x,z * (y \ K(u,w))). [para(12053(a,2),18640(a,1,2,1))]. 18643 K(x,L((y / z) \ K(u,w),y,z)) = K(x,z * (y \ K(u,w))). [hyper(15156,a,18642,a)]. 18644 K(x,T(y,z) \ (z * K(u,w))) = K(x,z * (y \ K(u,w))). [hyper(62,a,18181,a(flip),b,18643,a)]. 18645 K(x,(T(y,z) \ z) * K(u,w)) = K(x,z * (y \ K(u,w))). [hyper(18435,a,18644,a)]. 18646 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(62,a,17155,a(flip),b,18645,a)]. 18647 L(x,T(y \ 1,z),K(u,y * (y \ z))) = L(x,y \ z,K(u,(y \ 1) \ (y \ z))). [para(13500(a,1),18176(a,1,3))]. 18648 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,T(y \ 1,z),K(u,z)). [para(10(a,1),18647(a,1,3,2)),flip(a)]. 18649 K(x,K(y \ z,K(u,w) * y) * (z \ v5)) = K(x,T(z,y * K(u,w)) \ v5). [hyper(16100,a,18308,a)]. 18650 K(x,T(y,z * K(u,w)) \ v5) = K(x,K(z,z \ y) * (y \ v5)). [hyper(16088,a,18649,a),flip(a)]. 18652 K(x,T(y,z * K(u,w)) \ v5) = K(x,T(y,z) \ v5). [hyper(286,a,13133,a(flip),b,18650,a),flip(a)]. 18654 K(x,T((K(y,z) * u) \ w,u) \ v5) = K(x,(w / (K(y,z) * u)) \ v5). [hyper(62,a,15215,a(flip),b,18652,a),flip(a)]. 18656 K(x,T(y \ (K(z,u) * w),y) \ v5) = K(x,(w / (K(u,z) * y)) \ v5). [hyper(62,a,18497,a(flip),b,18654,a)]. 18657 K(x,((K(y,z) * u) / w) \ v5) = K(x,(u / (K(z,y) * w)) \ v5). [hyper(62,a,14738,a(flip),b,18656,a)]. 18658 K(x,K(y * z,y \ K(u,w)) * (z \ v5)) = K(x,T(z,K(u,w) / y) \ v5). [hyper(16088,a,18342,a)]. 18659 K(x,T(y,K(z,u) / w) \ v5) = K(x,K(w,w * y) * (y \ v5)). [hyper(62,a,16092,a(flip),b,18658,a),flip(a)]. 18661 K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w * y) \ v5). [hyper(286,a,16111,a(flip),b,18659,a),flip(a)]. 18662 K(x,T(y,K(z,u) / w) \ v5) = K(x,T(y,w) \ v5). [hyper(286,a,13128,a(flip),b,18661,a),flip(a)]. 18663 K(x,T(y,z \ K(u,w)) \ v5) = K(x,T(y,z) \ v5). [para(73(a,1),18662(a,1,2,1,2)),flip(a)]. 18664 K(x,T(y,K(z,u) * w) * v5) = K(x,T(y \ 1,w) \ v5). [hyper(62,a,15561,a(flip),b,18663,a)]. 18666 K(x,T(y,K(z,u) * w) * v5) = K(x,T(y,w) * v5). [hyper(286,a,15557,a(flip),b,18664,a),flip(a)]. 18667 K(x,T(y,z \ (u \ K(w,v5))) * v6) = K(x,T(y,u * z) * v6). [hyper(62,a,17030,a,b,18666,a)]. 18668 K(x,T(y,T(z,u) \ w) * v5) = K(x,T(y,w \ z) * v5). [hyper(62,a,15685,a(flip),b,18666,a)]. 18669 K(x,T(y,T(z,u) * w) * v5) = K(x,T(y,z * w) * v5). [para(4644(a,1),18666(a,1,2,1,2)),flip(a)]. 18670 K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,T(y,z * v5) * v6). [para(6567(a,1),18666(a,1,2,1,2)),flip(a)]. 18671 K(x,T(y,(z * T(u,w)) \ v5) * v6) = K(x,T(y,(z * u) \ v5) * v6). [para(18400(a,1),18666(a,1,2,1))]. 18673 K(x,T(y,z \ u) * w) = K(x,T(y,z / u) * w). [para(16344(a,1),18668(a,1,2,1)),flip(a)]. 18675 K(x,T(y,z * (K(u,w) * v5)) * v6) = K(x,v6 * T(y,z * v5)) * K(x,K(v6,T(y,v7))). [hyper(286,a,15188,a,b,18670,a),flip(a)]. 18676 K(x,T(y,(z * u) \ (w \ K(v5,v6))) * v7) = K(x,T(y,w * (z * T(u,v8))) * v7). [hyper(62,a,18667,a(flip),b,18671,a),flip(a)]. 18677 K(x \ K(((y \ z) * u) \ z,w),((y \ z) * u) \ z) = K(x,(((z \ y) \ u) \ z) \ 1). [hyper(62,a,18450,a(flip),b,18448,a)]. 18678 K(x,y * T(z,u * (K(w,v5) * v6))) = K(x,y * T(z,u * v6)). [hyper(15514,a,18675,a)]. 18679 K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)). [para(5846(a,1),18678(a,1,2,2,2)),flip(a)]. 18680 K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,v5 \ u)). [hyper(62,a,15684,a(flip),b,18679,a)]. 18682 K(x,y * T(z,u \ w)) = K(x,y * T(z,u / w)). [para(16344(a,1),18680(a,1,2,2)),flip(a)]. 18683 K(x,y * T(z,u * (w \ 1))) = K(x,y * T(z,u \ w)). [para(16345(a,1),18680(a,1,2,2))]. 18684 K(x,((y / z) \ 1) * T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). [hyper(62,a,13951,a(flip),b,18683,a),flip(a)]. 18685 K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((z \ 1) \ (y \ 1))). [hyper(13560,a,18684,a)]. 18686 K(x,(y / z) \ T(u,y \ z)) = K(x,u * ((y / z) \ 1)). [para(6431(a,1),18685(a,2,2,2))]. 18687 K(x,(y / z) \ T(u,y \ z)) = K(x,u / (y / z)). [hyper(286,a,13554,a(flip),b,18686,a),flip(a)]. 18688 K(x,(((y \ z) \ u) \ y) \ 1) = K(x,(((z \ y) * u) \ y) \ 1). [hyper(15373,a,18677,a),flip(a)]. 18689 K(x,(((y \ z) \ u) \ y) \ 1) = K(x,y \ ((z \ y) * u)). [hyper(286,a,6717,a(flip),b,18688,a),flip(a)]. 18690 K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). [hyper(6979,a,18689,a)]. 18691 K(x,a(y,z,z \ 1) \ ((a(y,z,z \ 1) \ R(y,z,z \ 1)) \ u)) = K(x,a(y,z,z \ 1) \ ((y \ 1) * u)). [para(1047(a,1),18690(a,2,2,2,1))]. 18692 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (L(z \ 1,z,y) * u)). [hyper(62,a,18056,a(flip),b,18201,a)]. 18694 K(x * (y \ K(z \ u,w)),L(v5,K(z \ u,w),y)) = K(x * (y \ K(z * u,w)),v5). [hyper(286,a,17087,a(flip),b,18221,a),flip(a)]. 18695 K(x * (y \ K(z \ u,w)),v5) = K(x * (y \ K(z * u,w)),v5). [hyper(17373,a,18694,a)]. 18697 K(x * (y \ K(z \ u,w)),L(v5,K(v6,v7),v8)) != v9 | K(x * (y \ K(z * u,w)),v5) = v9. [para(18695(a,2),17373(a,1))]. 18698 K(x * (y \ K(z \ u,w)),v5) != v6 | K(x * (y \ K(z * u,w)),v5) = v6. [para(334(a,1),18697(a,1,2))]. 18699 K(x,y \ (L(y,z,u) * a(u,z,K(y,w)))) = K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)). [hyper(62,a,18199,a(flip),b,18481,a)]. 18700 K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = K(x,y \ L(y,z,u)). [hyper(17274,a,18699,a),flip(a)]. 18701 K(x,T(y \ ((L(y,z,u) \ 1) \ 1),w)) = a(y,z,K(x,u)). [hyper(286,a,14276,a(flip),b,18700,a),flip(a)]. 18702 K(x,T(y \ L(y,z,u),w)) = a(y,z,K(x,u)). [para(4893(a,1),18701(a,1,2,1,2))]. 18703 K(K(R(x,y,z),u * T(w,v5)) * v6,v7) = K(K(u * (w * R(x,y,z)),x) * v6,v7). [hyper(286,a,17078,a(flip),b,18625,a),flip(a)]. 18705 K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(((x * y) * z) * u,x) * v5,v6). [hyper(286,a,16171,a(flip),b,18703,a),flip(a)]. 18706 K(x,(y \ (T(z,z * u) * u)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,12192,a(flip),b,18465,a),flip(a)]. 18707 K(x,(y \ (T(z,z * T((u \ w) \ w,z)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(7779(a,2),18706(a,2,2,1,2))]. 18710 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))). [para(18141(a,2),18143(a,2,2))]. 18711 K(x,L(y,a(z,u,u \ 1),L(z,u,u \ 1))) = K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))). [hyper(14490,a,18194,a)]. 18712 K(((x * y) * z) \ (K(x,y) * u),L(w,K(x,y) * u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,14339,a(flip),b,18425,a)]. 18713 K(((x * T(y,x)) \ z) * K(u,w),L(v5,z,y \ 1)) = K((K(w,T(u,x * y)) * x) \ (y \ z),v5). [hyper(62,a,17586,a(flip),b,18426,a)]. 18714 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (z \ (K(z * u,u \ 1) * w))). [para(13530(a,1),18539(a,2,2,2,2,1))]. 18715 K(K(x * y,y \ 1) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [para(11530(a,1),18556(a,1,1))]. 18716 K(x,L(y,z \ 1,(z \ 1) \ a(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [hyper(62,a,14343,a(flip),b,18711,a),flip(a)]. 18718 K(x,L(y,z \ 1,R(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [para(5994(a,1),18716(a,1,2,3))]. 18719 K(x,L(y,z \ 1,L(z,u,u \ 1))) = K(x,L(y,a(z,u,u \ 1),z)). [hyper(14490,a,18718,a)]. 18720 K(x,L(y,a(z,u,u \ 1),z)) = K(x,L(y,z \ 1,z)). [hyper(62,a,14343,a(flip),b,18719,a),flip(a)]. 18722 K(x,L(y,a(z,u,u \ 1),z)) = K(x,y). [hyper(286,a,13499,a(flip),b,18720,a),flip(a)]. 18724 K((x * y) * a(y,z,z \ 1),u) = K(x * R(y,z,z \ 1),u). [hyper(62,a,18555,a(flip),b,18722,a),flip(a)]. 18726 K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(((u * z) \ w) * K(y,x),L(v5,w,u \ 1)). [para(108(a,1),18713(a,1,1,1,1)),flip(a)]. 18727 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (K(u * z,u \ 1) * (z \ w))). [para(14001(a,1),18714(a,2,2,2))]. 18728 K(K(x * y,y) * (x * z),L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [hyper(14807,a,18715,a)]. 18729 K(K(x,y) * (y * z),L(u,z,x \ 1)) = K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u). [hyper(16049,a,18728,a)]. 18730 K(((x \ 1) \ y) * (((x \ 1) \ 1) \ z),u) = K(y * (K(x,y) * z),L(u,z,x \ 1)). [para(5885(a,1),18729(a,1,1)),flip(a)]. 18731 K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (((y \ 1) \ 1) \ z),u). [hyper(286,a,16070,a(flip),b,18730,a)]. 18732 K(T(x,y) * z,L(u,z,y \ 1)) = K(((y \ 1) \ x) * (y \ z),u). [para(4893(a,1),18731(a,2,1,2,1))]. 18733 K(((x \ 1) \ y) * (x \ z),u) = K((x * y) * ((x \ 1) * z),u). [hyper(16075,a,18732,a),flip(a)]. 18734 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,(y \ (z \ w)) * K(u * z,u \ 1)). [hyper(286,a,18289,a(flip),b,18727,a),flip(a)]. 18735 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,u * z) * (y \ (z \ w))). [hyper(286,a,15217,a(flip),b,18734,a),flip(a)]. 18736 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(u,z * u) * (y \ (z \ w))). [hyper(286,a,16108,a,b,18735,a),flip(a)]. 18737 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,K(z,u) * (y \ (z \ w))). [hyper(286,a,14734,a(flip),b,18736,a),flip(a)]. 18738 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,R(y,z,z \ 1) \ u). [hyper(62,a,18535,a(flip),b,18200,a),flip(a)]. 18740 K(x \ K((R(y \ 1,y,z) * u) / z,w),(y \ u) / z) = K(x,z / (R(y \ 1,y,z) * u)). [hyper(286,a,5964,a(flip),b,18485,a),flip(a)]. 18741 K(x,y / (R(z \ 1,z,y) * u)) = K(x,((z \ u) / y) \ 1). [hyper(15373,a,18740,a),flip(a)]. 18742 K(x,y / (R(z \ 1,z,y) * u)) = K(x,y / (z \ u)). [hyper(286,a,5964,a(flip),b,18741,a),flip(a)]. 18744 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (K(v5,w) * u))). [hyper(17703,a,18742,a)]. 18745 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,R(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). [para(11753(a,2),18742(a,1,2,2))]. 18746 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,T(v5,v6)))) = K(x,y / (z \ (K(v5,T(w,v6)) * u))). [para(7777(a,1),18744(a,1,2,2,2))]. 18747 K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y * ((R(z \ 1,z,y) * v6) \ K(w,u))). [hyper(16847,a,18746,a),flip(a)]. 18749 K(x \ K(((y * z) * u) \ w,v5),((y * z) * u) \ w) = K(x,((T(z * y,z) * u) \ w) \ 1). [hyper(62,a,18501,a(flip),b,18530,a)]. 18750 K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,(((z * y) * u) \ w) \ 1). [hyper(15373,a,18749,a),flip(a)]. 18751 K(x,((T(y * z,y) * u) \ w) \ 1) = K(x,w \ ((z * y) * u)). [hyper(286,a,6717,a(flip),b,18750,a),flip(a)]. 18752 K(x,y \ (T(z * u,z) * w)) = K(x,y \ ((u * z) * w)). [hyper(6979,a,18751,a)]. 18753 K(x,y \ (((z \ u) * z) * w)) = K(x,y \ (T(u,z) * w)). [para(10(a,1),18752(a,1,2,2,1,1)),flip(a)]. 18754 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ R(w,u,w)). [para(13570(a,1),18580(a,1,2))]. 18755 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(w * ((K(w,u) * y) * z)) \ w). [hyper(286,a,13124,a(flip),b,18754,a),flip(a)]. 18757 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,((K(w,u) * y) * z) \ 1). [hyper(286,a,6753,a(flip),b,18755,a),flip(a)]. 18759 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(z \ 1) * (y \ K(u,w))). [para(13625(a,1),18757(a,2,2))]. 18761 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) != v5 | T(x,z \ (y \ K(u,w))) = v5. [para(18759(a,2),13695(a,1))]. 18762 K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,T(u,v5)))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [hyper(62,a,16698,a,b,18581,a)]. 18763 K(x,(K(y,z) / (u / (y * z))) * T(w,u \ (z * y))) = K(x,w * (K(z,y) \ ((u / (y * z)) \ 1))). [hyper(62,a,18682,a,b,18601,a)]. 18764 K(x,L(y,(z * K(u,T(w,v5))) * v6,z \ K(w,u))) = K(x,L(y,v6,(z * K(u,T(w,v5))) \ 1)). [para(17969(a,1),18762(a,1,2))]. 18766 K(x,L(y,(z * K(u,w)) * v5,z \ K(w,u))) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). [para(17977(a,1),18764(a,1,2))]. 18768 K(x,K(y,z) * ((u / (z * y)) \ T(w,u \ (y * z)))) = K(x,w * (K(y,z) \ ((u / (z * y)) \ 1))). [hyper(18312,a,18763,a)]. 18769 K(x,(y / (z * u)) \ T(w,y \ (z * u))) = K(x,w * (K(z,u) \ ((y / (u * z)) \ 1))). [hyper(62,a,17459,a(flip),b,18768,a)]. 18770 K(x,y * (K(z,u) \ ((w / (u * z)) \ 1))) = K(x,y / (w / (z * u))). [hyper(62,a,18687,a(flip),b,18769,a),flip(a)]. 18771 K(x,y * (K(z,u) * ((w / (z * u)) \ 1))) = K(x,y / (w / (u * z))). [para(5839(a,1),18770(a,1,2,2))]. 18772 K(x,y * (K(z,u) / (w / (z * u)))) = K(x,y / (w / (u * z))). [para(13636(a,1),18771(a,1,2,2))]. 18773 K(x,y * ((z / (u * w)) \ K(u,w))) = K(x,y / (z / (w * u))). [hyper(16941,a,18772,a)]. 18774 K(x,y / (z / (T(u,w) * w))) = K(x,y / (z / (w * u))). [hyper(62,a,15477,a(flip),b,18773,a)]. 18775 K(x,y / (z / (T(u,w) * T(T(w,v5),v5)))) = K(x,y / (z / (T(T(w,v5),v5) * u))). [para(8317(a,1),18774(a,1,2,2,2,1))]. 18776 K(x,y / (z / (T(u * K(w,v5 \ 1),w \ 1) * T(w \ 1,v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(8598(a,1),18774(a,1,2,2,2,1))]. 18777 (K(x,L(y,z,u \ (K(y,x) / z))) * u) * K(w,v5) = ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5). [para(11785(a,1),18065(a,1,1,1))]. 18778 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,L(z \ 1,z,y))))) = K(x,y / (z \ (u * K(w,v5)))). [para(14489(a,1),18745(a,1,2,2,2))]. 18779 K(x,y / ((R(z \ 1,z,y) * u) * K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(w,v5)))). [para(18056(a,1),18778(a,1,2,2,2))]. 18780 K(x,y * ((R(z \ 1,z,y) * u) \ K(L(w,u,z \ 1),v5))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(15467,a,18779,a)]. 18782 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [para(11780(a,1),18780(a,1,2,2,2))]. 18783 K(x,y * ((R(z \ 1,z,y) * u) \ K(w,v5))) = K(x,y / (z \ (u * K(w,v5)))). [hyper(17803,a,18782,a)]. 18784 K(x,y / (z \ (K(u,T(w,v5)) * v6))) = K(x,y / (z \ (v6 * K(w,u)))). [hyper(62,a,18747,a,b,18783,a)]. 18785 K(x,K(y,z \ u)) * K(x,y * (u \ (z * K(w,v5)))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). [para(15807(a,1),18313(a,1,1))]. 18787 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * (((K(w,u) * y) * z) \ 1)). [para(6413(a,1),18616(a,1,2)),flip(a)]. 18788 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((z \ 1) * (y \ K(u,w)))). [para(13625(a,1),18787(a,2,2,2))]. 18789 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(w \ R(w,u,w)) * ((y * z) \ K(w,u))). [hyper(286,a,17830,a(flip),b,18788,a),flip(a)]. 18790 T(x,(y * L(z,y,K(u,w))) \ (K(w,w * u) \ 1)) = T(x,(y * z) \ K(w,u)). [hyper(286,a,13098,a(flip),b,18789,a),flip(a)]. 18792 T(x,(y * L(z,y,K(u,w))) \ K(w * u,w)) = T(x,(y * z) \ K(w,u)). [para(4781(a,1),18790(a,1,2,2))]. 18793 T(x,(y * z) \ K(u,w)) = T(x,z \ (y \ K(w,u))). [hyper(18761,a,18792,a),flip(a)]. 18794 T(x,(((y * K(z,u)) * w) \ 1) \ K(v5,v6)) = T(x,(K(u,z) / y) \ ((w \ 1) \ K(v6,v5))). [para(13594(a,2),18793(a,1,2,1))]. 18795 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,((u * K(z,y)) * w) * K(v6,v5)). [hyper(62,a,13677,a(flip),b,18794,a),flip(a)]. 18796 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,(u * K(z,y)) * (w * K(v6,v5))). [hyper(286,a,17033,a(flip),b,18795,a),flip(a)]. 18797 T(x,(K(y,z) / u) \ ((w \ 1) \ K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [hyper(286,a,17026,a(flip),b,18796,a),flip(a)]. 18798 T(x,(K(y,z) / u) \ (w * K(v5,v6))) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [para(13487(a,1),18797(a,1,2,2))]. 18799 T(x,((K(y,z) / u) \ w) * K(v5,v6)) = T(x,K(z,y) * (u * (w * K(v6,v5)))). [hyper(62,a,18344,a(flip),b,18798,a)]. 18800 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x * K(y,z),u \ (K(z,y) / x))) * u. [para(13591(a,1),18061(a,2,1,2,3,2))]. 18801 R(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. [para(10071(a,1),18800(a,2,1))]. 18803 L(x \ 1,x,K(y,z)) * (((x * K(y,z)) \ 1) \ u) = K(y,L(z,x,u \ (K(z,y) / x))) * u. [para(18088(a,1),18801(a,1,1))]. 18804 K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * (((z * K(x,y)) \ 1) \ u). [para(13634(a,1),18803(a,1,1)),flip(a)]. 18806 K(x,L(y,z,u \ (K(y,x) / z))) * u = (z \ 1) * ((K(y,x) / z) \ u). [para(13591(a,1),18804(a,2,2,1))]. 18807 ((K(x,y) / z) * ((z \ 1) \ u)) * K(w,v5) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). [para(18806(a,1),18777(a,1,1)),flip(a)]. 18808 (K(x,y) / z) * ((z \ 1) \ u) = (z \ 1) * ((K(y,x) / z) \ u). [hyper(12205,a,18807,a)]. 18809 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = ((z \ 1) * ((K(y,x) / z) \ u)) * K(w,v5). [hyper(62,a,16771,a,b,18807,a)]. 18810 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) / (x \ 1)) * (T(x,x \ 1) \ u)) * K(w,v5). [para(109(a,2),18807(a,1,1,2,1)),flip(a)]. 18811 K(x,L(y,z,z \ (K(u,w) / v5))) * (v5 * K(w,u)) = (z \ 1) * ((K(y,x) / z) \ (v5 * K(w,u))). [hyper(62,a,15679,a,b,18808,a)]. 18813 K(x,L(y,z,z \ (u \ K(w,v5)))) * (u * K(v5,w)) = (z \ 1) * ((K(y,x) / z) \ (u * K(v5,w))). [para(18059(a,2),18811(a,1,1))]. 18814 R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (((u * z) * K(y,x)) \ 1) * L(u,z,K(y,x)). [para(13591(a,1),18217(a,1,1))]. 18815 R(K(x,y) / z,L(u,z,K(y,x)) \ 1,L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). [para(13591(a,1),18814(a,2,1))]. 18816 R(K(x,y) / z,L(u \ 1,z,K(y,x)),L(u,z,K(y,x))) = (K(x,y) / (u * z)) * L(u,z,K(y,x)). [para(18141(a,2),18815(a,1,2))]. 18817 K(x,L(y,(z * K(u,w)) * v5,L(z,K(u,w),v5) \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [para(17977(a,1),18238(a,1,2))]. 18818 K(x,L(y,(z * K(u,w)) * v5,L(z \ 1,K(u,w),v5))) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [hyper(62,a,14537,a,b,18817,a)]. 18820 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5 * K(u,w),L(z,K(u,w),v5) \ 1)). [hyper(17456,a,18818,a)]. 18821 K(x,L(y \ (z * (u \ K(w,v5))),y,u * (z \ 1))) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [para(6403(a,1),18266(a,1,2,3))]. 18822 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,((z * (u \ 1)) \ y) \ K(w,L(v5,u,z \ 1))). [hyper(62,a,18043,a(flip),b,18821,a)]. 18823 K(x,(T(y,z) * u) \ w) * a(v5,v6,K((T(y,z) * u) \ w,x)) = K(x,L((((z * y) / z) * u) \ w,v6,v5)). [para(18398(a,1),18525(a,1,1))]. 18824 K(x,L((((y * z) / y) * u) \ w,v5,v6)) = K(x,L((T(z,y) * u) \ w,v5,v6)). [hyper(11806,a,18823,a),flip(a)]. 18825 K(x,L((T(y,z) * u) \ w,u,y \ 1)) = K(x,u \ (((z * y) / z) \ w)). [hyper(62,a,16877,a(flip),b,18824,a),flip(a)]. 18826 K(x,y \ (((z * u) / z) \ w)) = K(x,y \ (T(u,z) \ w)). [hyper(62,a,16777,a(flip),b,18825,a),flip(a)]. 18827 K(x,(y \ (z \ u)) * K(z,w)) = K(x,y \ (T(z,w) \ u)). [hyper(18436,a,18826,a)]. 18828 K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). [hyper(15095,a,18827,a)]. 18829 K(x,L(y,z,z \ 1) \ (((u \ (z \ 1)) * u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18737,a,b,18828,a)]. 18830 K(x \ K(y \ (T(z,u) \ w),v5),y \ (T(z,u) \ w)) = K(x,(K(z,u) * (y \ (z \ w))) \ 1). [hyper(62,a,17488,a(flip),b,18828,a),flip(a)]. 18831 K(x,y \ T(z \ u,z)) = K(x,y \ (T(z,u) \ u)). [hyper(62,a,15283,a(flip),b,18828,a)]. 18832 K(x,y \ (T(z,u) \ u)) = K(x,y \ (u / z)). [hyper(62,a,14873,a(flip),b,18831,a),flip(a)]. 18833 K(x,y \ (T(z,T(u,w)) \ T(u,u \ w))) = K(x,y \ (T(u,u \ w) / z)). [para(7696(a,1),18832(a,1,2,2,1))]. 18834 K(x,L(y,z,z \ 1) \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18753,a(flip),b,18829,a)]. 18835 K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(u \ (T(y,z) \ w)) \ 1). [hyper(15373,a,18830,a),flip(a)]. 18836 K(x,(K(y,z) * (u \ (y \ w))) \ 1) = K(x,(T(y,z) \ w) \ u). [hyper(286,a,6717,a(flip),b,18835,a),flip(a)]. 18837 K(x,(y \ (z \ u)) \ K(w,z)) = K(x,(T(z,w) \ u) \ y). [hyper(6993,a,18836,a)]. 18838 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(62,a,18366,a(flip),b,18837,a)]. 18839 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [hyper(15222,a,18838,a)]. 18840 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [hyper(62,a,18324,a(flip),b,18838,a),flip(a)]. 18842 K(x,(T(y,K(z,L(u,w,y)) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). [para(18196(a,1),18840(a,2,2,1))]. 18843 K(x,(T(y,K(z,u) * w) \ (K(z,L(u,w,y)) * w)) \ v5) = K(x,(K(z,u) * (w / y)) \ v5). [para(17015(a,1),18842(a,1,2,1,1))]. 18845 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,y * ((u \ 1) * z))) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(8077(a,1),18562(a,1,2))]. 18846 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,a(y,z,z \ 1) \ (y \ u)). [para(3567(a,1),18691(a,1,2,2,1)),flip(a)]. 18847 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (T(x,x \ 1) \ u)) * K(w,v5). [para(13590(a,1),18810(a,2,1,1))]. 18848 (((x \ 1) \ 1) * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). [para(4883(a,1),18847(a,2,1,2,1))]. 18849 (x * ((K(y,z) / (x \ 1)) \ u)) * K(w,v5) = ((K(z,y) * x) * (x \ u)) * K(w,v5). [para(4893(a,1),18848(a,1,1,1))]. 18850 ((K(x,y) * z) * (z \ u)) * K(w,v5) = (z * ((K(y,x) * z) \ u)) * K(w,v5). [para(13590(a,1),18849(a,1,1,2,1)),flip(a)]. 18851 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [hyper(12205,a,18850,a)]. 18852 K(x,L(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u). [hyper(14442,a,18851,a)]. 18853 (x / y) * (y * K(z,T(u,x))) = y * ((K(u,z) * y) \ x). [hyper(62,a,14479,a,b,18851,a)]. 18855 ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((K(T(u,y),z) * y) \ x). [hyper(62,a,18630,a(flip),b,18852,a)]. 18856 x * ((K(y,T(z,u)) * x) \ u) = (u / x) * (x * K(z,y)). [para(8155(a,1),18853(a,1,2,2)),flip(a)]. 18857 ((x / (y \ x)) * K(z,u)) * (y \ x) = y * ((y * K(u,z)) \ x). [para(8147(a,1),18855(a,2,2,1))]. 18858 (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). [para(73(a,1),18857(a,1,1,1))]. 18859 (x * K(y,z)) * (x \ (x * (K(z,y) * u))) = x * L(u,K(z,y),x). [para(18(a,2),18858(a,2,2))]. 18861 (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). [para(9(a,1),18859(a,1,2))]. 18862 L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). [hyper(6907,a,18861,a)]. 18864 x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x) = w. [para(18861(a,2),301(a,1,2)),flip(b)]. 18865 L(K(x,T(y,z)) * u,K(y,x),z) = z \ ((K(x,y) * z) * u). [hyper(62,a,16732,a(flip),b,18862,a),flip(a)]. 18866 (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). [hyper(62,a,11418,a(flip),b,18865,a)]. 18867 (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) * (x \ 1)) \ ((u * x) \ 1). [para(6394(a,1),18866(a,1,2)),flip(a)]. 18868 (K(x,y) * z) \ ((z * u) * R((z * u) \ (K(x,y) * z),w,w \ 1)) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(18866(a,1),7000(a,2,3))]. 18869 x \ ((K(T(y,x),z) * x) * u) = (x * K(z,y)) \ (x * u). [para(8146(a,1),18866(a,1,1)),flip(a)]. 18870 (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). [para(8147(a,1),18869(a,1,2,1)),flip(a)]. 18871 T(x,((y * K(z,u)) \ 1) * (y * w)) = T(x,y \ ((y * K(u,z)) * w)). [para(18870(a,1),13674(a,2,2))]. 18872 T(x,y \ ((y * K(z,u)) * w)) = T(x,(K(z,u) / y) * (y * w)). [para(13591(a,1),18871(a,1,2,1)),flip(a)]. 18873 T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * (y \ (y * w))). [hyper(286,a,17515,a(flip),b,18872,a),flip(a)]. 18874 T(x,y \ ((y * K(z,u)) * w)) = T(x,K(u,z) * w). [para(9(a,1),18873(a,2,2,2))]. 18875 ((x * K(y,z)) * u) / T(x,K(z,y) * u) = x \ ((x * K(y,z)) * u). [para(18874(a,1),240(a,1,2))]. 18876 ((K(x,y) * z) * R(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). [hyper(62,a,14719,a(flip),b,18875,a)]. 18877 ((K(x,y) * z) * L(u,K(x,y),z)) / u = u \ ((u * K(x,y)) * z). [para(17206(a,1),18876(a,1,1,2))]. 18878 (x * (T(K(y,z),x) * u)) / u = u \ ((u * K(y,z)) * x). [para(11398(a,1),18877(a,1,1))]. 18879 (x * (K(y,T(z,x)) * u)) / u = u \ ((u * K(y,z)) * x). [para(7723(a,2),18878(a,1,1,2,1))]. 18880 (x \ 1) \ ((K(y,z) * (x \ 1)) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). [para(13636(a,1),18867(a,2,1))]. 18881 (x \ 1) \ ((K(y,z) / x) * (u \ 1)) = (K(z,y) / x) \ ((u * x) \ 1). [para(13636(a,1),18880(a,1,2,1))]. 18882 ((x * (y * K(z,u))) / y) \ 1 = (K(z,u) / y) \ ((x * y) \ 1). [hyper(62,a,13595,a(flip),b,18881,a)]. 18883 (x * y) / ((K(z,u) / y) \ 1) = (x * (y * K(z,u))) / y. [hyper(38,a,6422,a,b,18882,a)]. 18884 (x * (y * K(z,u))) / y = (x * y) / (y * K(u,z)). [para(13520(a,1),18883(a,1,2)),flip(a)]. 18885 ((x * y) / (y * K(z,u))) * K(y,K(u,z)) = (x * (K(u,z) * y)) / y. [para(18884(a,1),10634(a,1,1))]. 18886 (x * y) / (T(y,K(z,u)) * K(u,z)) = (x * (K(z,u) * y)) / y. [hyper(62,a,16832,a(flip),b,18885,a)]. 18887 (x * (K(y,z) * u)) / u = (x * u) / (K(z,y) * u). [para(7923(a,1),18886(a,1,2)),flip(a)]. 18888 (x * y) / (K(T(z,x),u) * y) = y \ ((y * K(u,z)) * x). [hyper(62,a,18879,a(flip),b,18887,a),flip(a)]. 18889 (K(x,L(y,z * (K(u,w) * v5),v5)) * (z * (K(u,w) * v5))) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). [para(18887(a,1),18196(a,2,2))]. 18890 (x * y) / (K(z,T(u,x)) * y) = y \ ((y * K(u,z)) * x). [para(7777(a,1),18888(a,1,2,1))]. 18891 ((K(x,y) * z) * u) / (K(w,T(v5,z)) * u) = u \ ((u * K(v5,w)) * (K(x,y) * z)). [para(15744(a,1),18888(a,1,2,1))]. 18892 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,(u \ 1) * z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(8671(a,1),18845(a,1,2))]. 18893 K(x,(((y \ 1) / z) * u) \ (y \ 1)) * K(x,K(y,u \ z)) = K(x,y \ ((u \ 1) * ((z \ 1) \ y))). [para(13501(a,1),18892(a,1,2,2))]. 18894 (K(x,y) * z) \ (z * (u * R(u \ (z \ (K(x,y) * z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(891(a,1),18868(a,1,2))]. 18895 (K(x,y) * z) \ (z * (u * R(u \ T(K(x,y),z),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(22(a,2),18894(a,1,2,2,2,1,2))]. 18896 (K(x,y) * z) \ (z * (u * R(u \ K(x,T(y,z)),w,w \ 1))) = a(w,w \ 1,z \ ((K(y,x) * z) * u)). [para(7723(a,2),18895(a,1,2,2,2,1,2))]. 18897 K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(K(w,L(v5,u,z \ 1)) \ ((z \ u) \ 1)) * y). [para(13554(a,1),18488(a,1,2))]. 18898 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,(u \ ((u \ 1) \ w)) / (y / z)). [para(13550(a,1),18541(a,1,2,2))]. 18899 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,y \ z)) = K(x,w / L(y / z,u,u \ 1)). [hyper(286,a,18636,a(flip),b,18898,a),flip(a)]. 18901 K(x,L(y / z,u,u \ 1) \ w) * K(x,K(w,z * y)) = K(x,w / L(y / z,u,u \ 1)). [para(14984(a,1),18899(a,1,2))]. 18902 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(K(z,u) * (y \ (z * u))) * w). [hyper(286,a,13987,a(flip),b,18617,a),flip(a)]. 18904 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,K(u,z) * ((y \ (z * u)) * w)). [hyper(286,a,17048,a(flip),b,18902,a),flip(a)]. 18905 K(x,(y \ T(z * u,z)) * L(w,y \ (z * u),K(u,z))) = K(x,(y \ T(z * u,u)) * w). [hyper(286,a,17154,a(flip),b,18904,a),flip(a)]. 18906 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ T(z * u,z)) * w). [hyper(18105,a,18905,a),flip(a)]. 18908 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(92(a,1),18003(a,2,2))]. 18909 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(6244(a,1),18908(a,2,2,2))]. 18910 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(8381(a,1),18909(a,2,2,2))]. 18911 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(14996(a,1),18910(a,2,2,2))]. 18912 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(286,a,9,a(flip),b,18911,a),flip(a)]. 18913 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(16724,a,18912,a)]. 18916 K(x,K(y,z \ (u \ w))) = K(x,K(y,z * (w \ u))). [para(354(a,1),18913(a,1,2,2,2)),flip(a)]. 18917 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(16891,a,18916,a)]. 18918 K(x,K(y,z \ (u * w))) = K(x,K(y,u * (z \ w))). [hyper(16811,a,18916,a)]. 18919 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [hyper(286,a,15028,a,b,18916,a),flip(a)]. 18920 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z \ (u \ (w \ v5)))). [hyper(62,a,17624,a(flip),b,18916,a),flip(a)]. 18922 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (w \ u))) = K(x,(z \ (u \ w)) * y). [para(18916(a,1),12192(a,1,2))]. 18923 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ z) * u)). [hyper(286,a,15028,a,b,18917,a),flip(a)]. 18924 K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 \ (w \ (z \ u)))). [hyper(62,a,16880,a(flip),b,18917,a),flip(a)]. 18925 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(18917(a,1),8061(a,1,2))]. 18926 K(x,K(y,z * ((z * u) \ w))) = K(x,K(y,u \ w)). [hyper(16722,a,18918,a),flip(a)]. 18927 K(x,K(y,(z \ L(u \ 1,u,z * (w \ v5))) * (v5 \ w))) = K(x,K(y,u * (z * (w \ v5)))). [hyper(62,a,17816,a(flip),b,18918,a),flip(a)]. 18928 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z \ w))). [hyper(62,a,18917,a(flip),b,18919,a),flip(a)]. 18929 K(x,K(y,z \ (u \ w))) != v5 | K(x,K(y,z * (w \ u))) = v5. [para(18919(a,2),15208(a,1))]. 18930 K(x,K(y \ (z \ u),w)) = K(x,K(w,(u \ y) * z)). [hyper(8109,a,18923,a)]. 18931 K(x,K(y,(z / u) * w)) = K(x,K(y,z * (u \ w))). [hyper(15903,a,18928,a)]. 18932 K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,(u \ z) * w)). [hyper(286,a,8082,a,b,18928,a)]. 18933 K(x,K(y,(z * u) * (w \ v5))) = K(x,K(y,v5 * (w \ (u * z)))). [hyper(62,a,15896,a(flip),b,18928,a),flip(a)]. 18934 K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,u * ((u * z) \ w))). [para(195(a,2),18928(a,1,2,2,1))]. 18935 K(x,y / ((z \ u) * w)) * K(x,K(y,u * (z \ w))) = K(x,((z \ u) * w) \ y). [para(18928(a,1),8730(a,1,2))]. 18936 K(x,K(y \ (z \ u),w)) = K(x,K((u \ y) * z,w)). [hyper(286,a,8077,a,b,18930,a),flip(a)]. 18937 T(x,K(y,z \ (u \ w))) = T(x,K(y,u * (w \ z))). [hyper(8064,a,18925,a),flip(a)]. 18938 T(x,K(y,(z * u) \ w)) = T(x,K(y,u * (w \ z))). [hyper(16879,a,18937,a)]. 18939 T(x,K(y,z \ (u * w))) = T(x,K(y,w * (z \ u))). [hyper(8438,a,18938,a)]. 18940 K(x,K(y,z \ (u * w))) != v5 | K(x,K(y,u * (z \ w))) = v5. [para(16746(a,1),18929(a,1))]. 18941 K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,u * (z \ w))) = v5. [para(18923(a,1),18929(a,1))]. 18942 K(x,K(y \ (z * u),w)) != v5 | K(x,K(w,z * (y \ u))) = v5. [para(8077(a,1),18940(a,1))]. 18943 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (w \ u))) = v5. [para(14984(a,1),18940(a,1))]. 18944 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z \ w))). [hyper(33,a,8082,a,b,18932,a)]. 18945 K(x,T(y,(z \ K(u,w)) * (v5 \ v6))) = K(x,T(y,(v6 \ z) * v5)). [hyper(62,a,18468,a(flip),b,18944,a),flip(a)]. 18946 T(x * K(y,T(x,z * (u \ w))),y) = T(x,K(y,(u \ z) * w)). [para(18944(a,1),8335(a,1,1,2))]. 18947 K(x,K(y,(z * u) * (z \ (w * v5)))) = K(x,K(y,(v5 * w) * u)). [para(9(a,1),18933(a,1,2,2,2)),flip(a)]. 18948 K(x,T(y,K(z,u) * (w \ (v5 \ v6)))) = K(x,T(y,(v6 \ w) * v5)). [hyper(62,a,18944,a(flip),b,18945,a)]. 18949 T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z \ w))). [hyper(8470,a,18946,a),flip(a)]. 18950 T(x,K(y,(z \ u) * w)) != v5 | T(x,K(y,u * (z \ w))) = v5. [para(18946(a,1),8470(a,1))]. 18951 (x \ T(y * x,K(z,u * (w \ v5)))) \ T(y,x) = K(K(z,(w \ u) * v5),y * x). [para(18949(a,1),13599(a,1,1,2))]. 18952 K(x,T(y,z \ (u \ w))) = K(x,T(y,(w \ z) * u)). [hyper(15738,a,18948,a)]. 18953 K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). [hyper(286,a,18944,a(flip),b,18952,a),flip(a)]. 18954 K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). [hyper(62,a,18251,a(flip),b,18953,a)]. 18955 K(x,K(y,L(z \ 1,z,u) * w)) = K(x,K(y,z \ w)). [hyper(286,a,18926,a(flip),b,18934,a),flip(a)]. 18957 K(x,K(y,L(z \ 1,z,u) * (w \ v5))) = K(x,K(y,z * (v5 \ w))). [hyper(286,a,18916,a(flip),b,18955,a),flip(a)]. 18958 K(x,K(y,z * (u \ (T(w,v5) * v6)))) = K(x,K(y,v6 * ((z \ u) \ w))). [hyper(286,a,18916,a(flip),b,18924,a),flip(a)]. 18959 K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,u * (w \ (v5 * z)))). [para(107(a,1),18958(a,1,2,2,2,2,1)),flip(a)]. 18960 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * ((w \ v5) \ u))). [hyper(286,a,18916,a(flip),b,18920,a),flip(a)]. 18961 K(K(x,(y \ z) * u),w * v5) = K(K(x,z * (y \ u)),w * v5). [hyper(62,a,13599,a(flip),b,18951,a),flip(a)]. 18962 K(K(x,(y \ z) * u),w * v5) = K(x,K(z * (y \ u),w * v5)). [hyper(286,a,8032,a(flip),b,18961,a),flip(a)]. 18963 K(x,K((y \ z) * u,w * v5)) = K(x,K(z * (y \ u),w * v5)). [hyper(8240,a,18962,a)]. 18964 K(x,K(y \ (z \ u),w * v5)) = K(x,K(y * (u \ z),w * v5)). [hyper(62,a,18936,a,b,18963,a)]. 18965 K(x,K(y * ((z \ a(u,w,K(v5,v6))) \ v7),v8 * v9)) = K(x,K(z * (v7 * y),v8 * v9)). [hyper(62,a,17819,a(flip),b,18964,a),flip(a)]. 18966 K(x,K(y \ (z * u),w * v5)) = K(x,K(u * (y \ z),v5 * w)). [hyper(62,a,16787,a(flip),b,18964,a)]. 18968 K(x,K(y * (z \ u),w * v5)) != v6 | K(x,K(v5 * w,u * (z \ y))) = v6. [para(18966(a,1),18942(a,1))]. 18969 K(x,K(y * ((z \ 1) \ u),w * v5)) = K(x,K(z * (u * y),w * v5)). [para(422(a,1),18965(a,1,2,1,2,1,2))]. 18970 K(x,K((y * z) * u,w * v5)) = K(x,K(z * (u * y),w * v5)). [hyper(18558,a,18969,a)]. 18972 K(x,K(y * (z * u),w * v5)) = K(x,K(w * v5,z * (y * u))). [hyper(15941,a,18970,a),flip(a)]. 18973 K(x,K((y * z) * (u * (y \ 1)),w * v5)) = K(x,K(z * R(u,y \ 1,y),w * v5)). [para(4912(a,1),18970(a,2,2,1,2))]. 18974 K(x,K(y * ((z \ u) * w),v5 * v6)) != v7 | K(x,K(v6 * v5,u * (z \ (w * y)))) = v7. [para(18970(a,1),18968(a,1))]. 18975 K(x,K(y * ((z * u) * w),v5 * v6)) = K(x,K(v5 * v6,z * ((w * y) * u))). [hyper(62,a,18970,a(flip),b,18972,a)]. 18976 K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * (u \ (u * y)),w * v5)). [hyper(62,a,16852,a(flip),b,18973,a),flip(a)]. 18977 K(x,K(y * R(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). [para(9(a,1),18976(a,2,2,1,2))]. 18978 K(x,K(y,L(z \ 1,z,u * (w \ v5)) * (u \ (v5 \ w)))) = K(x,K(y,z * (u * (w \ v5)))). [hyper(18941,a,18927,a)]. 18979 K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,z * (v5 * (w \ u)))). [hyper(62,a,18957,a(flip),b,18978,a)]. 18980 K(x,K((y \ z) \ u,w * (v5 * (v6 \ v7)))) = K(x,K(z \ (y * u),w * ((v7 \ v6) \ v5))). [hyper(286,a,16600,a,b,18979,a)]. 18981 K(x,K(y,L(z,u,w) * (v5 \ (u * w)))) = K(x,K(y,z * (u * (v5 \ w)))). [hyper(62,a,18960,a,b,18979,a)]. 18983 K(x,K(y,z * (u \ (w * v5)))) = K(x,K(y,v5 * (w * (u \ z)))). [hyper(62,a,18959,a(flip),b,18979,a)]. 18984 K(x,K(y,z * (u * (w \ (w * v5))))) = K(x,K(y,(z * u) * v5)). [hyper(62,a,18947,a(flip),b,18983,a),flip(a)]. 18985 K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (w / L(T(u,z),v5,u))))). [para(8554(a,1),18983(a,1,2,2,2,2)),flip(a)]. 18986 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(9(a,1),18984(a,1,2,2,2,2)),flip(a)]. 18987 K(x,K(y,z * (u \ w))) = K(x,K(y,z * (w * u))). [hyper(18943,a,18986,a)]. 18988 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,(u \ v5) * (v6 * z))). [hyper(62,a,15882,a,b,18986,a)]. 18989 K(x,y) * K(x,K(y,z * (u * w))) = K(x,T(y,(z * u) * w)). [para(18986(a,1),8043(a,1,2))]. 18990 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(z \ (u \ w)) * y). [para(18987(a,1),18922(a,1,2))]. 18991 K(x,y / ((z \ u) * w)) * K(x,K(y,u * (w * z))) = K(x,((z \ u) * w) \ y). [para(18987(a,1),18935(a,1,2))]. 18992 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [hyper(8269,a,18989,a),flip(a)]. 18994 K(x,T(y,L(z \ u,z,w))) = K(x,T(y,w * (u * (w * z)))). [hyper(62,a,14960,a,b,18992,a)]. 18996 K(x,T(y,z * (u * (z * w)))) = K(x,T(y,w \ u)). [hyper(62,a,16717,a(flip),b,18994,a),flip(a)]. 18998 K(x,T(y,z * (u * (z * w)))) = K(x,T(y,u * w)). [hyper(286,a,14952,a(flip),b,18996,a),flip(a)]. 19001 K(x,K(y,z * ((T(u,w) \ v5) * v6))) != v7 | K(x,K(y,v5 * (u \ (v6 * z)))) = v7. [para(18988(a,2),18941(a,1))]. 19002 K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (v5 \ w)))). [hyper(62,a,18987,a(flip),b,18981,a)]. 19003 K(x,y / ((((z \ 1) * u) \ w) * a(v5,v6,v5))) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). [para(13016(a,1),18991(a,1,2,2,2,2))]. 19004 K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * ((u \ w) \ v5))). [hyper(286,a,8695,a(flip),b,18980,a),flip(a)]. 19005 K(x,K((y \ z) \ ((u \ w) \ v5),y * (v5 * (w \ u)))) = K(x,K(z,y * (v5 * (w \ u)))). [hyper(286,a,18979,a(flip),b,19004,a),flip(a)]. 19006 K(x,K(y * (z * (u \ w)),(y \ v5) \ ((w \ u) \ z))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(8109,a,19005,a)]. 19007 K(x,K(y * (z * (u \ w)),(y \ v5) * (z \ (w \ u)))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(18929,a,19006,a)]. 19008 K(x,K(y * (z * (u \ w)),v5 * (y \ (z \ (w \ u))))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(18941,a,19007,a)]. 19009 K(x,K(y,K(z,u) * ((w / L(u,v5,u)) * (v6 \ v7)))) = K(x,K(y,v7 * (v6 \ (L(T(u,z),v5,u) \ w)))). [hyper(286,a,18253,a,b,18985,a),flip(a)]. 19010 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,K(v5,w) * ((v7 / w) * (u \ z)))). [para(13147(a,1),19009(a,1,2)),flip(a)]. 19012 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,(v7 / T(w,v5)) * (u \ z))). [para(17099(a,1),19010(a,2,2))]. 19013 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (T(w,v5) \ (u \ z)))). [hyper(286,a,18931,a(flip),b,19012,a),flip(a)]. 19014 K(x,K(y,z * (u \ (L(T(w,v5),v6,w) \ v7)))) = K(x,K(y,v7 * (w \ (u \ z)))). [hyper(286,a,15806,a(flip),b,19013,a),flip(a)]. 19016 K(x,K(y,z * ((L(T(u,w),v5,u) \ v6) * v7))) = K(x,K(y,v6 * (u \ (v7 \ z)))). [hyper(62,a,18987,a(flip),b,19014,a)]. 19017 K(x,K(y,z * ((T(u,w) \ v5) * v6))) = K(x,K(y,v5 * (u \ (v6 \ z)))). [para(338(a,1),19016(a,1,2,2,2,1,1))]. 19018 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * (u \ (w * v5)))). [hyper(19001,a,19017,a),flip(a)]. 19019 K(x,K(y,z * (u \ (w \ v5)))) = K(x,K(y,z * ((w * v5) * u))). [hyper(286,a,18987,a(flip),b,19018,a),flip(a)]. 19020 K(x,K(y * (z * (u \ w)),v5 * ((z * (w \ u)) * y))) = K(x,K(v5,y * (z * (u \ w)))). [hyper(62,a,19008,a(flip),b,19019,a),flip(a)]. 19021 K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * ((u * w) * v5))). [hyper(62,a,18987,a(flip),b,19019,a)]. 19022 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(x,L(w,y,z))),v6). [para(11780(a,1),18559(a,2,1,2,2))]. 19023 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(K(u * ((z \ 1) \ y),x) * (v5 * K(w,x)),v6). [hyper(286,a,17799,a(flip),b,19022,a),flip(a)]. 19025 K(L(x,y,z) * (T(T(L(x,y,z),(u * z) * y),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). [hyper(286,a,17535,a(flip),b,19023,a),flip(a)]. 19026 K(L(x,y,z) * (T(L(T(x,(u * z) * y),y,z),w) \ v5),v6) = K(x * (T(T(x,w),u * ((z \ 1) \ y)) \ v5),v6). [para(25(a,2),19025(a,1,1,2,1,1))]. 19027 K(x * (T(T(x,y),z * ((u \ 1) \ w)) \ v5),v6) = K(x * (T(T(x,y),(z * u) * w) \ v5),v6). [hyper(62,a,17813,a(flip),b,19026,a),flip(a)]. 19029 K(x * (T(T(x,K(y,z * u)),((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [hyper(62,a,17958,a(flip),b,19027,a),flip(a)]. 19030 K(x * (T(x,((x * y) * z) * u) \ w),v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [hyper(62,a,15473,a(flip),b,19029,a)]. 19032 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,((z \ 1) \ u) * y) * w,v5). [para(4643(a,1),19030(a,1,1))]. 19033 L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = (x * (K(y,T(z,w)) * u)) \ ((x * K(y,T(z,w))) * u). [para(16760(a,1),16914(a,1,2)),flip(a)]. 19034 L(a(x,K(y,z),u),x * (K(y,z) * u),K(y,K(z,w))) = a(x,K(y,T(z,w)),u). [hyper(286,a,14,a,b,19033,a),flip(a)]. 19035 a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). [hyper(16646,a,19034,a),flip(a)]. 19038 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). [hyper(62,a,17211,a,b,19035,a)]. 19039 (x * (y * K(z,u))) \ ((x * K(z,T(u,y))) * y) = a(x,K(z,u),y). [hyper(62,a,8204,a,b,19035,a)]. 19041 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = L(a(x,K(y,z),u),x,K(u * K(y,z),w)). [para(19038(a,1),18168(a,1,1)),flip(a)]. 19043 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),u). [hyper(286,a,18110,a(flip),b,19041,a),flip(a)]. 19045 L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) = ((T(z,v5) \ K(u,w)) * y) \ ((T(z,v5) \ K(u,w)) * (y * x)). [para(17356(a,1),17438(a,1,2)),flip(a)]. 19046 L(L(x,y,z \ K(u,w)),(z \ K(u,w)) * y,K(v5,z)) != v6 | L(x,y,T(z,v5) \ K(u,w)) = v6. [para(19045(a,2),439(a,1))]. 19047 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * (T(x,y) \ K(z,u))). [hyper(286,a,17107,a(flip),b,17460,a),flip(a)]. 19048 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(x,y) * (x \ K(z,u)),w * T(x \ K(z,u),y)). [hyper(286,a,17105,a,b,19047,a),flip(a)]. 19049 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(T(x,y) \ K(z,u),w * T(x \ K(z,u),y)). [hyper(286,a,16030,a(flip),b,19048,a),flip(a)]. 19050 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(w * T(x \ K(z,u),y),y)). [hyper(286,a,16204,a(flip),b,19049,a),flip(a)]. 19051 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T((x \ K(z,u)) * w,y)). [hyper(286,a,17765,a(flip),b,19050,a),flip(a)]. 19052 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(x \ K(z,u),T(K(u,z) * (x \ w),y)). [hyper(286,a,17759,a(flip),b,19051,a),flip(a)]. 19053 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T((x \ w) \ K(z,u),y)). [hyper(286,a,13935,a(flip),b,19052,a),flip(a)]. 19054 K(K(x,y) * (x \ K(z,u)),K(x,y) * ((x \ K(z,u)) * w)) = K(K(u,z) * x,T(K(u,z) * (w \ x),y)). [hyper(286,a,18470,a(flip),b,19053,a),flip(a)]. 19055 L(x,y,K(K(z,u) * w,T(K(z,u) * (v5 \ w),v6))) = L(x,y,K(K(w,v6) * (w \ K(u,z)),v5)). [para(19054(a,1),17461(a,1,3))]. 19056 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(K(v5,w) * z,K(v5,w) * (v6 \ z))). [hyper(62,a,16689,a(flip),b,19055,a),flip(a)]. 19058 K(x,L(T(y \ z,z),z,a(u \ 1,u,z))) = K(x,(u \ ((u \ 1) \ z)) / (((u \ ((u \ 1) \ z)) / z) * y)). [para(13684(a,1),18280(a,1,2,1))]. 19059 K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,T(u \ z,z)). [hyper(62,a,14518,a(flip),b,19058,a),flip(a)]. 19062 K(x,(y \ ((y \ 1) \ z)) / (((y \ ((y \ 1) \ z)) / z) * u)) = K(x,z / u). [hyper(286,a,8159,a(flip),b,19059,a),flip(a)]. 19063 K(x,(y \ ((y \ 1) \ z)) / (a(y \ 1,y,z) * u)) = K(x,z / u). [para(18281(a,1),19062(a,1,2,2,1))]. 19064 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(T(x,x \ 1),w,v5). [para(18141(a,2),18387(a,2,1))]. 19065 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * (a(u,y,K(z,x)) * 1),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(4883(a,1),19064(a,2,2,1))]. 19066 L(x,y,K(z,u)) \ L(L(x,y,K(z,u)) * a(u,y,K(z,x)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(8(a,1),19065(a,1,2,1,2))]. 19067 L(x,y,K(z,u)) \ L(L(a(u,y,K(z,x)) * x,y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(18495(a,2),19066(a,1,2,1))]. 19068 L(x,y,K(z,u)) \ L(L(L(x,y,K(u,z)),y,K(z,u)),w,v5) = L(x \ 1,y,K(z,u)) * L(x,w,v5). [para(18127(a,1),19067(a,1,2,1,1))]. 19069 K(x,K(y,K(z,u)) * ((T(w,K(y,z)) * v5) / (K(y,T(z,u)) * v5))) = K(x,L(T(w * K(z,y),K(y,T(z,u))),K(y,T(z,u)),v5)). [para(16647(a,1),16909(a,1,2))]. 19070 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) / (K(u,z) * v5)). [para(18094(a,1),19069(a,1,2)),flip(a)]. 19071 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(T(y,K(u,z)) * v5) * (v5 \ K(z,u))). [hyper(286,a,13631,a(flip),b,19070,a),flip(a)]. 19073 K(x,T((y * z) * (z \ K(u,w)),K(w,u))) = K(x,L(T(y * K(u,w),K(w,T(u,v5))),K(w,T(u,v5)),z)). [para(16172(a,2),19071(a,2,2)),flip(a)]. 19074 K(x,L(T(y * K(z,u),K(u,T(z,w))),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). [hyper(15082,a,19073,a),flip(a)]. 19076 K(x,L(T(y * K(z,u),K(u,z)),K(u,T(z,w)),v5)) = K(x,(y * v5) * (v5 \ K(z,u))). [para(15125(a,1),19074(a,1,2,1))]. 19077 K(x,L(K(y,z) * u,K(z,T(y,w)),v5)) = K(x,(u * v5) * (v5 \ K(y,z))). [para(6894(a,1),19076(a,1,2,1))]. 19079 K(x,(y * z) * (z \ K(u,w))) = K(x,K(u,w) * y). [hyper(17373,a,19077,a),flip(a)]. 19080 K(x,(y * z) * (z \ K(u,w))) != v5 | K(x,K(u,w) * y) = v5. [para(19077(a,1),17373(a,1))]. 19083 K(x,y * ((z \ y) \ K(u,w))) != v5 | K(x,K(u,w) * z) = v5. [para(10(a,1),19080(a,1,2,1))]. 19084 K(x,(y \ (T(z,z * ((u \ w) \ w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(8760(a,1),18707(a,1,2,1,2,1))]. 19085 K(x,(y \ (T(z,z * T(u,w)) * T((u \ w) \ w,z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(13115(a,1),19084(a,1,2,1,2,1))]. 19086 K(x,(y \ (K(z,z * T(u,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(5717(a,2),19085(a,1,2,1,2))]. 19087 K(x,L(((y \ 1) \ z) \ u,a(y,y \ 1,(y \ 1) \ z),z \ (y \ 1))) = K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)). [hyper(62,a,14339,a(flip),b,18202,a)]. 19088 K((x * (y \ z)) * K(u,z),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(15365(a,1),18261(a,1,1))]. 19090 K(x * ((y \ z) * K(z,u)),w) * K(x,K(w,(y * K(z,u)) \ z)) = K((K(u,z) * (y \ z)) * R(x,y \ z,K(u,z)),w). [para(17838(a,1),19088(a,1,1))]. 19091 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,(z * K(y,x)) \ y)). [para(13515(a,1),19090(a,1,1,1,2)),flip(a)]. 19092 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,K(x,y) * (z \ y))). [para(18258(a,1),19091(a,2,2,2,2))]. 19093 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K(u * (z \ T(y,x)),w) * K(u,K(w,z \ T(y,x))). [para(15259(a,1),19092(a,2,2,2))]. 19094 K((K(x,y) * (z \ y)) * R(u,z \ y,K(x,y)),w) = K((z \ T(y,x)) * u,w). [hyper(286,a,15893,a(flip),b,19093,a),flip(a)]. 19096 K(K(x,y) * ((z \ y) * u),w) = K((z \ T(y,x)) * u,w). [para(18087(a,1),19094(a,1,1))]. 19097 K(K((x \ T(y,z)) * u,w) * v5,v6) = K(K(w,(x \ y) * u) * v5,v6). [para(19096(a,1),16051(a,1,1,1))]. 19099 K(K(x,(y \ z) * u) * w,v5) != v6 | K(w * K((y \ T(z,v7)) * u,x),v5) = v6. [para(19097(a,1),15093(a,1))]. 19100 K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) = K(x,((y \ 1) \ z) \ u). [hyper(62,a,18512,a(flip),b,19087,a),flip(a)]. 19103 K(x,a(y,y \ 1,(y \ 1) \ z) \ (((y * z) \ 1) * u)) != w | K(x,((z \ 1) / y) * u) = w. [para(19100(a,2),13753(a,1))]. 19104 K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * ((z \ a(v5,v6,v5)) * u))) = K(x,((((z \ 1) * u) \ w) * a(v5,v6,v5)) \ y). [para(13091(a,1),19003(a,1,1))]. 19106 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * ((y \ 1) * z))). [para(13118(a,1),19104(a,1,2,2)),flip(a)]. 19108 x \ T(y * T(x,K(z,(u * ((w \ 1) * v5)) \ v6)),K(z,v6 * (((v5 \ 1) * w) * (u \ 1)))) = T(y,K(v6 * (((v5 \ 1) * w) * (u \ 1)),z) * x). [para(15124(a,2),14711(a,1,2,1,2))]. 19109 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11778(a,1),16734(a,1,3))]. 19110 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(62,a,16689,a(flip),b,19109,a)]. 19112 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11780(a,1),19110(a,1,3))]. 19113 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = L(a(x,K(z,u),y),x * (K(z,u) * y),K(u,L(z,y,x))). [para(7736(a,2),19112(a,2,2)),flip(a)]. 19114 K(K(x,K(y,z * ((u \ 1) \ w))) * (v5 \ K(((u \ 1) \ w) * z,x)),v6) = K(v5 \ (K(x,K(z,u * w)) * T(K(z * ((u \ 1) \ w),x),y)),v6). [para(8057(a,1),17454(a,1,1,1))]. 19115 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * ((z * (y * a(u,w,K(v5,v6)))) * K(v8,v7)),v9). [hyper(62,a,17799,a(flip),b,17715,a),flip(a)]. 19117 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * ((y * a(u,w,K(v5,v6))) * K(v8,v7))),v9). [hyper(286,a,17270,a(flip),b,19115,a),flip(a)]. 19118 K(x * (y * (T(z,y * a(u,w,K(v5,v6))) * K(v7,v8))),v9) = K(x * (z * (y * (K(v8,v7) * a(u,w,K(v5,v6))))),v9). [para(17467(a,1),19117(a,2,1,2,2))]. 19119 K(x * (y * (T(z,y) * K(u,w))),v5) = K(x * (z * (y * (K(w,u) * a(v6,v7,K(v8,v9))))),v5). [para(17251(a,1),19118(a,1,1,2,2,1))]. 19120 K(x * (y * (z * (K(u,w) * a(v5,v6,K(v7,v8))))),v9) = K(x * ((K(w,u) * y) * z),v9). [hyper(62,a,16945,a(flip),b,19119,a),flip(a)]. 19122 K(x * ((K(y,z) * u) * w),v5) = K(x * (u * (w * K(z,y))),v5). [hyper(17292,a,19120,a),flip(a)]. 19123 K(x * ((y * K(z,u)) * w),v5) = K(x * (y * (w * K(u,z))),v5). [hyper(62,a,15448,a(flip),b,19122,a)]. 19124 K(x * (y * (z * K(u,y))),w) = K(x * (T(y,u) * z),w). [para(4667(a,2),19122(a,1,1,2,1)),flip(a)]. 19125 K(x * ((y * z) * (u * K(w,y))),v5) = K(x * ((T(y,w) * z) * u),v5). [para(4675(a,1),19122(a,1,1,2,1)),flip(a)]. 19126 K(x * (((y \ 1) * z) * (u * K(y,w))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [para(6510(a,1),19122(a,1,1,2,1)),flip(a)]. 19127 K(x * (y * (K(z,y) * u)),w) = K(x * (T(y,z) * u),w). [hyper(62,a,15437,a,b,19124,a)]. 19128 K(x * (T(y \ z,y) * u),w) = K(x * ((z / y) * u),w). [para(6042(a,1),19127(a,1,1,2)),flip(a)]. 19129 K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z \ 1) * u),w). [para(6458(a,1),19127(a,1,1,2,2,1))]. 19130 K(x * ((L(y,z \ 1,z) / z) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). [para(393(a,1),19128(a,1,1,2,1,1)),flip(a)]. 19131 K(x * ((y * (z * K(u,w))) * v5),v6) = K(x * ((y * z) * (v5 * K(w,u))),v6). [hyper(62,a,17714,a(flip),b,19123,a)]. 19132 K(x * (y * (z * K(u,z))),w) = K(x * (y * T(z,u)),w). [para(6864(a,1),19123(a,1,1,2)),flip(a)]. 19133 (x * K(y * (z * (u * K(w,v5))),v6)) \ x = K(v6,y * ((z * K(v5,w)) * u)). [para(19123(a,1),6895(a,1,1,2))]. 19134 K(K(x / T(y,z),u) * ((y \ x) * T(y,z)),w) = K(T(T(x / T(y,z),y),u) * y,w). [hyper(62,a,15489,a(flip),b,19132,a),flip(a)]. 19135 K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * ((T(y \ 1,w) * z) * u),v5). [hyper(62,a,17746,a(flip),b,19125,a)]. 19136 K(a(x,y,x) * ((z * u) * (w * K(v5,v6))),v7) = K((z * (K(v6,v5) * u)) * w,v7). [hyper(62,a,16916,a(flip),b,19131,a),flip(a)]. 19137 K(K(x,y) * ((y * x) * (z * K(u,w))),v5) = K(((x * K(w,u)) * y) * z,v5). [hyper(62,a,16068,a(flip),b,19131,a),flip(a)]. 19138 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(w,u)))). [hyper(15158,a,19133,a),flip(a)]. 19139 K(x,y * (z * (u * K(w,u)))) = K(x,y * (z * T(u,w))). [para(6864(a,1),19138(a,1,2,2)),flip(a)]. 19140 K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). [para(4636(a,2),19139(a,1,2,2,2))]. 19141 K(((x * K(y,z)) * u) * w,v5) = K((x * u) * (w * K(z,y)),v5). [para(11376(a,1),19137(a,1,1)),flip(a)]. 19142 K((x * (y \ 1)) * (z * K(u,w)),v5) = K((y * (K(u,w) / x)) \ z,v5). [hyper(62,a,13798,a(flip),b,19141,a),flip(a)]. 19143 K((x * (K(y,z) / u)) \ w,v5) = K((u * (x \ K(y,z))) * w,v5). [hyper(62,a,17590,a(flip),b,19142,a),flip(a)]. 19144 K(x * (L(y / z,z,z \ 1) * u),w) = K(x * (T((z \ 1) * y,z) * u),w). [para(5919(a,2),19130(a,1,1,2,1))]. 19145 K((x * (K(y,z) * u)) * w,v5) = K((x * u) * (w * K(z,y)),v5). [hyper(17259,a,19136,a),flip(a)]. 19146 K((x * (K(y,z) * u)) * w,v5) != v6 | K((x * u) * (w * K(z,y)),v5) = v6. [para(19136(a,1),13175(a,1))]. 19147 K((x * (y * K(z,u))) * w,v5) = K((x * y) * (w * K(u,z)),v5). [hyper(17225,a,19145,a)]. 19148 (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (K(v5,w) * z)) * u). [para(19145(a,1),6895(a,1,1,2))]. 19149 (x * K((y * z) * (u * K(w,v5)),v6)) \ x = K(v6,(y * (z * K(v5,w))) * u). [para(19145(a,1),16917(a,1,1,2))]. 19150 K((x * y) * ((((z \ x) * y) \ K(u,w)) * K(u,w)),v5) = K(z,L(v5,z \ x,y * K(w,u))). [hyper(17533,a,19147,a),flip(a)]. 19151 K(x,(y * (K(z,u) * w)) * v5) = K(x,(y * w) * (v5 * K(u,z))). [hyper(15158,a,19148,a),flip(a)]. 19152 K(x,(y * (K(z,u) * w)) * v5) != v6 | K(x,(y * w) * (v5 * K(u,z))) = v6. [para(19148(a,1),6902(a,1))]. 19153 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [para(4638(a,1),19151(a,1,2,1)),flip(a)]. 19154 K(x,(y * z) * (K(u,y) * w)) = K(x,(T(y,u) * z) * w). [hyper(15430,a,19153,a)]. 19155 K(x,(y * (z * K(u,w))) * v5) = K(x,(y * z) * (v5 * K(w,u))). [hyper(15158,a,19149,a),flip(a)]. 19157 K(x,(y * T(z,y)) * (u * K(w,v5))) = K(x,((K(v5,w) * z) * y) * u). [hyper(62,a,16946,a(flip),b,19155,a),flip(a)]. 19158 K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(y * (z \ K(v5,w))) * u). [para(13512(a,1),19155(a,1,2,1,2)),flip(a)]. 19159 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * (v6 * K(u,w)))). [para(19155(a,1),16906(a,2,2))]. 19160 K(x,(y * (z \ u)) * (w * K(L(v5,u,z \ 1),v6))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). [para(18233(a,1),19155(a,1,2,1,2)),flip(a)]. 19161 K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(z,y))). [para(108(a,1),19157(a,1,2,1)),flip(a)]. 19162 K(x,(y * (z \ 1)) * (u * K(w,v5))) = K(x,(z * (y \ K(w,v5))) \ u). [hyper(13819,a,19161,a),flip(a)]. 19163 K(x,(y * (z \ K(u,w))) \ v5) = K(x,(z * (y \ K(w,u))) * v5). [hyper(62,a,19158,a(flip),b,19162,a),flip(a)]. 19164 K(x,(y * ((z * K(y \ K(u,w),v5)) \ K(w,u))) * v6) = K(x,(z * T(y \ K(u,w),v5)) \ v6). [para(6864(a,1),19163(a,1,2,1)),flip(a)]. 19165 K(x * L(y / z,z,z \ 1),u) = K(x * (T((z \ 1) * y,z) * a(w,v5,K(v6,v7))),u). [hyper(17262,a,19144,a)]. 19166 K(x * ((((y \ 1) * z) * u) * K(y,L(w,u,(y \ 1) * z))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [para(11753(a,2),19126(a,1,1,2))]. 19167 T(x,K(y,(z \ 1) \ ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). [hyper(286,a,15864,a(flip),b,19159,a),flip(a)]. 19168 T(x,K(y,z * ((K(u,w) / v5) \ v6))) = T(x,K(y,(z * v5) * v6)). [hyper(13840,a,19167,a)]. 19170 T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,(z * u) * v6)). [para(12179(a,1),19168(a,1,2,2,2,1))]. 19171 K(K(x / T(y,z),u) * T(x * K(y,z),y),w) = K(T(T(x / T(y,z),y),u) * y,w). [hyper(62,a,17648,a,b,19134,a)]. 19172 K(x * L(y / z,z,z \ 1),u) = K(x * T((z \ 1) * y,z),u). [hyper(286,a,17264,a(flip),b,19165,a),flip(a)]. 19173 K(x * L(y / z,z,z \ 1),u) = K(x * (y * (z \ 1)),u). [hyper(286,a,17650,a(flip),b,19172,a),flip(a)]. 19174 K(x * ((y * z) * (z \ 1)),u) = K(x * L(y,z,z \ 1),u). [para(11(a,1),19173(a,1,1,2,1)),flip(a)]. 19175 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(458(a,1),19174(a,1,1,2))]. 19176 K((x * y) * a(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [hyper(62,a,18724,a,b,19175,a)]. 19177 K(T(x,y) * L(y,z,z \ 1),u) = K((y * x) * a(y,z,z \ 1),u). [hyper(62,a,17631,a(flip),b,19176,a),flip(a)]. 19178 K(x * L(x \ y,z,z \ 1),u) = K(y * a(x \ y,z,z \ 1),u). [para(10(a,1),19176(a,1,1,1)),flip(a)]. 19179 K((x * y) * a(x,z,z \ 1),u) = K(L(x,z,z \ 1) * y,u). [hyper(13679,a,19177,a),flip(a)]. 19180 K(L(x,y,y \ 1) * (x \ z),u) = K(z * a(x,y,y \ 1),u). [para(10(a,1),19179(a,1,1,1)),flip(a)]. 19181 K(a(x \ 1,x,y) \ z,u) = K(z * a(y,x,x \ 1),u). [hyper(62,a,14665,a(flip),b,19180,a)]. 19182 (x * K(y * a(z,u,u \ 1),w)) \ x = K(w,a(u \ 1,u,z) \ y). [para(19181(a,1),6895(a,1,1,2))]. 19183 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K((x * z) * L(L(T(y,z),z,x),u,u \ 1),w). [para(210(a,1),19178(a,1,1,2,1)),flip(a)]. 19184 K(x,a(y \ 1,y,z) \ u) = K(x,u * a(z,y,y \ 1)). [hyper(15158,a,19182,a),flip(a)]. 19186 K(K(x,y / T(z,u)) * (y * K(z,u)),T(w,z)) = K(T(T(y / T(z,u),z),x) * z,w). [hyper(62,a,17449,a(flip),b,19171,a)]. 19187 K(x * (K(y,z) * K(u,T(y,z) \ x)),T(w,y)) = K(T(T(x / T(y,z),y),u) * y,w). [para(17441(a,1),19186(a,1,1))]. 19188 K(K(x \ y,z) * (y * K(x,u)),T(w,x)) = K(T(T(y / T(x,u),x),z) * x,w). [hyper(62,a,17844,a(flip),b,19187,a)]. 19190 K(x * (K(x / y,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). [para(17443(a,1),19188(a,1,1))]. 19191 K(x * (K(y \ x,z) * K(y,u)),T(w,y)) = K(T(T(x / T(y,u),y),z) * y,w). [hyper(16942,a,19190,a)]. 19192 K(T(T(x / T(y,z),y),u) * y,w) = K(T(x / y,u) * T(y,z),T(w,y)). [para(17463(a,1),19191(a,1,1)),flip(a)]. 19193 K(T(T(x / T(y,z),y),u) * y,w) = K(T(y,z) * T(x / y,u),w). [hyper(286,a,15074,a(flip),b,19192,a),flip(a)]. 19194 K(T(x,y) * T(z / x,u),w) = K(x * T(z / T(x,y),u),w). [hyper(12136,a,19193,a),flip(a)]. 19195 K((x * y) / ((z \ x) * y),u) = K(z,L(u,z \ x,y * K(w,v5))). [hyper(62,a,17800,a(flip),b,19150,a)]. 19196 K(x,L(y,x \ z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(14418,a,19195,a),flip(a)]. 19198 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(11834,a,19196,a)]. 19199 K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). [hyper(62,a,17578,a(flip),b,19198,a)]. 19200 K(x,L(y,z,u \ K(w,v5))) = K(x,L(y,z,u \ 1)). [hyper(62,a,14333,a(flip),b,19198,a)]. 19203 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(7736(a,1),19198(a,1,2,3))]. 19204 (x * (y \ K(y,z))) * K(u,L(w,y \ 1,x)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(19198(a,1),11840(a,1,2))]. 19205 a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). [para(19198(a,1),14184(a,1,2)),flip(a)]. 19208 K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,u \ v6)). [hyper(62,a,17758,a(flip),b,19203,a),flip(a)]. 19210 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,(w * u) \ v5)). [para(11413(a,1),19203(a,1,2,3))]. 19211 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(19203(a,1),11753(a,1,2))]. 19212 K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). [para(19203(a,1),14399(a,1,1))]. 19215 K(x,L(y \ ((z / T(u,z)) \ w),w,u \ z)) = K(x,((T(z,u) / u) * y) \ w). [hyper(62,a,18626,a(flip),b,19199,a),flip(a)]. 19216 K(x,L(T(T(y \ z,y),u),T(y,y \ z),y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [hyper(62,a,11951,a(flip),b,19199,a),flip(a)]. 19217 K(x,L(T(y \ T(z,y),u),T(y,z),y \ u)) = K(x,((u / T(y,z)) * z) / u). [hyper(62,a,11950,a(flip),b,19199,a),flip(a)]. 19218 K(T(x,y) \ z,L(T(u,w),T(x,y),x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [hyper(62,a,11878,a(flip),b,19199,a),flip(a)]. 19219 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,(z * K(u,T(w,v6))) \ 1)). [hyper(62,a,18766,a(flip),b,19200,a),flip(a)]. 19220 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(286,a,14184,a(flip),b,19205,a),flip(a)]. 19221 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(16085,a,19220,a)]. 19222 a(K(x,y) * z,u,K(w,v5)) = a(w,u,K(z,v5 \ 1)). [hyper(14287,a,19221,a)]. 19223 T(x,a(y,z,K(u,w) * v5)) = x * a(x,z,K(v5,y)). [para(19221(a,1),14206(a,1,2)),flip(a)]. 19224 a(K(x,y) * z,u,K(w,v5)) = a(z,u,K(w,v5)). [hyper(286,a,14193,a(flip),b,19222,a),flip(a)]. 19225 a(x * T(y,z),u,K(w,v5)) = a(x * y,u,K(w,v5)). [hyper(62,a,17939,a(flip),b,19224,a)]. 19226 x * (K(y,z) * a(x,u,K(w,v5))) = T(x * K(y,z),a(v5,u,w)). [para(19224(a,1),15348(a,1,2,2))]. 19227 T(x,a(y,z,K(u,w) * v5)) = T(x,a(y,z,v5)). [hyper(286,a,14206,a(flip),b,19223,a),flip(a)]. 19229 T(x,a(y,z,u * K(w,v5))) = T(x,a(y,z,u)). [hyper(16133,a,19227,a)]. 19230 L(x,y,K(z * K(u,w),v5)) = T(x,a(v5,y,z)). [hyper(62,a,18098,a,b,19229,a)]. 19231 L(x,y,K(z * K(u,w),v5)) = L(x,y,K(z,v5)). [hyper(286,a,18098,a,b,19230,a),flip(a)]. 19232 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [para(7736(a,1),19231(a,1,3,1))]. 19233 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,w * v5)). [hyper(62,a,17945,a,b,19232,a)]. 19234 a(x,y,K(z,u * T(w,v5))) = (a(u * w,y,K(z,x)) * v6) \ v6. [para(19225(a,1),16730(a,1,1,1)),flip(a)]. 19236 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). [hyper(62,a,18046,a(flip),b,19208,a)]. 19237 K(x,L(y,z,u \ (T(w,v5) \ v6))) = K(x,L(y,z,u \ (w \ v6))). [para(5715(a,1),19208(a,1,2,3,2)),flip(a)]. 19238 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ 1))). [para(13655(a,1),19208(a,1,2,3,2))]. 19239 ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (u \ K(z,y)) * K(w,L(v5,x,x \ u)). [para(19208(a,1),14671(a,1,2)),flip(a)]. 19240 K(x,L(T(y,z),u,u \ z)) * (z \ K(w,v5)) = ((z \ K(w,v5)) / (u \ 1)) * (u \ K(x,y)). [para(19208(a,1),16289(a,1,1))]. 19241 K(x,L(y \ ((z * u) * w),w,(u * z) \ 1)) = K(x,((z * u) \ y) \ w). [hyper(14560,a,19210,a),flip(a)]. 19244 K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,u \ v6)). [hyper(62,a,18067,a,b,19236,a)]. 19245 K(((x * K(y,z)) * u) \ w,L(v5,w,x \ 1)) = K(u \ ((x * K(y,z)) \ w),v5). [hyper(18422,a,19244,a),flip(a)]. 19247 K(x,L(y,z,(u * T(w,v5)) \ v6)) = K(x,L(y,z,(u * w) \ v6)). [para(1271(a,1),19244(a,1,2,3,1))]. 19249 K(x,L(y,z,(z * K(u,w)) \ v5)) * v5 = (K(x,y) * z) * (z \ v5). [para(19244(a,2),14400(a,1,1))]. 19251 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(62,a,16763,a(flip),b,19226,a),flip(a)]. 19253 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(18098(a,2),19251(a,2,1))]. 19254 L(x * K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) * K(y,z). [hyper(62,a,18098,a,b,19253,a)]. 19255 a(x,y,K(z,u * T(w,v5))) = a(x,y,K(z,u * w)). [hyper(286,a,16730,a(flip),b,19234,a),flip(a)]. 19256 K(L(x,y,z) \ x,u \ T(w \ 1,v5)) = a(x,y,K(z,u * w)). [hyper(62,a,18041,a,b,19255,a)]. 19257 K(x \ y,L(T(z,T(u \ 1,w)),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(62,a,12318,a(flip),b,19237,a),flip(a)]. 19258 K(x,L(y,z,u \ (w \ K(v5,v6)))) = K(x,L(y,z,u \ (w \ K(v7,v8)))). [hyper(286,a,19238,a,b,19238,a)]. 19259 K(x,y) * (z \ K(u,L(w,v5,v5 \ (z \ 1)))) = ((K(x,y) / z) / v5) * (v5 * K(u,w)). [para(19238(a,1),18064(a,1,2,2))]. 19260 K(x,L(y,z,z \ (u \ 1))) * (u * K(w,v5)) = (z \ 1) * ((K(y,x) / z) \ (u * K(w,v5))). [para(19238(a,1),18813(a,1,1))]. 19261 ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,(y * z) \ x)). [hyper(62,a,17604,a(flip),b,19247,a)]. 19262 K(x \ L(x,y,z),T(u,w) * v5) = a(x,y,K(z,v5 * u)). [hyper(14914,a,19256,a)]. 19264 a(x,y,K(z,T(u,w) * v5)) = a(x,y,K(z,v5 * u)). [hyper(62,a,14279,a(flip),b,19262,a)]. 19265 T(x,a(T(y,z) * u,w,v5)) = x * a(x,w,K(v5,u * y)). [para(19264(a,1),14206(a,1,2)),flip(a)]. 19266 T(x,a(T(y,z) * u,w,v5)) = T(x,a(u * y,w,v5)). [hyper(286,a,14206,a(flip),b,19265,a),flip(a)]. 19267 T(x,a(T(y,z) \ u,w,v5)) = T(x,a(u * (y \ 1),w,v5)). [hyper(15634,a,19266,a)]. 19268 T(x,a(T(y,z) \ u,w,v5)) = T(x,a(y \ u,w,v5)). [hyper(286,a,18038,a(flip),b,19267,a),flip(a)]. 19269 L(x,y,K(z,T(u,w) \ v5)) = T(x,a(u \ v5,y,z)). [hyper(62,a,18098,a,b,19268,a)]. 19270 L(x,y,K(z,T(u,w) \ v5)) = L(x,y,K(z,u \ v5)). [hyper(286,a,18098,a,b,19269,a),flip(a)]. 19271 a(x,y,K(z,((u * w) / u) \ v5)) = x \ L(x,y,K(z,w \ v5)). [para(19270(a,1),18129(a,2,2))]. 19272 a(x,y,K(z,((u * w) / u) \ v5)) = a(x,y,K(z,w \ v5)). [hyper(286,a,18099,a(flip),b,19271,a),flip(a)]. 19274 a(x,y,K(z,T(u,w) \ v5)) = a(x,y,K(z,u \ v5)). [para(204(a,1),19272(a,1,3,2,1)),flip(a)]. 19275 a(x,y,K(z,u \ T(w,v5))) = a(z,y,K(x,w \ u)). [hyper(14247,a,19274,a)]. 19276 T((x / (y * K(z,u))) * y,K(z,u)) = (K(u,z) * y) * (y \ x). [hyper(62,a,17246,a(flip),b,19249,a)]. 19278 T((x / y) * (y * K(z,u)),K(u,z)) = (K(z,u) * y) * (y \ x). [para(14548(a,1),19276(a,1,1))]. 19279 T((K(x,y) * z) * (z \ u),K(y,x)) = (u / z) * (z * K(x,y)). [hyper(8130,a,19278,a)]. 19280 T(x * ((K(y,z) * x) \ u),K(y,z)) = (u / x) * (x * K(z,y)). [para(18851(a,1),19279(a,1,1))]. 19281 ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). [para(19280(a,1),8128(a,1,1))]. 19283 ((x / (y * T(z,u))) * (y * z)) \ x = K(z,L(u,y,z \ (y \ x))). [hyper(286,a,14501,a(flip),b,19261,a),flip(a)]. 19284 K(x,L(y,z,x \ (z \ u))) = ((u / z) * (z * K(y,x))) \ u. [para(17237(a,1),19283(a,1,1)),flip(a)]. 19285 K(x,L(y,z,x \ (z \ u))) = K(x,L(y,z,z \ u)). [hyper(286,a,11868,a(flip),b,19284,a),flip(a)]. 19286 K(x * (((x \ 1) / (y * z)) * y),u \ 1) = K(z,L(u,y,y \ (x \ 1))). [hyper(62,a,17217,a,b,19285,a)]. 19288 L(x,y,K(K(z,u) * w,K(u,T(z,w)) * v5)) = L(x,y,K(w,v5)). [hyper(286,a,13378,a(flip),b,19233,a),flip(a)]. 19289 L(x,y,K(K(z,u) * w,K(z,u) * v5)) = L(x,y,K(w,v5)). [para(16104(a,1),19288(a,1,3))]. 19290 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(z,v6 \ z)). [hyper(62,a,19056,a,b,19289,a)]. 19293 L(x,y,K(K(z,u) * (z \ K(w,v5)),v6)) = L(x,y,K(v6,z)). [hyper(286,a,13396,a(flip),b,19290,a),flip(a)]. 19294 L(x,y,K(z \ K(u,w),v5)) = L(x,y,K(v5,z)). [hyper(62,a,19232,a(flip),b,19293,a)]. 19295 L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z \ K(u,w),v5)). [hyper(18169,a,19294,a),flip(a)]. 19297 L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(y \ K(z,u),v5)). [hyper(62,a,18167,a(flip),b,19294,a),flip(a)]. 19299 L(x,(y \ K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y)). [hyper(286,a,19294,a(flip),b,19297,a),flip(a)]. 19300 L(L(x,y,z \ K(u,w)),y,K(v5,z)) = L(x,y,T(z,v5) \ K(u,w)). [hyper(19046,a,19299,a),flip(a)]. 19302 L(x,y,T(z \ K(u,w),v5)) = L(x,y,T(z,v5) \ K(u,w)). [hyper(62,a,19295,a(flip),b,19300,a)]. 19303 L(x,y,T((z \ 1) \ K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [hyper(286,a,16971,a(flip),b,19302,a),flip(a)]. 19304 L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [para(13487(a,1),19303(a,1,3,1))]. 19305 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). [hyper(286,a,18174,a(flip),b,19304,a),flip(a)]. 19308 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,u \ (K(v5,w) * (v5 \ K(v8,v9))))). [para(5716(a,1),19258(a,1,2,3,2)),flip(a)]. 19311 K(x * (((x \ 1) / (y * (y \ z))) * y),T(u,(y \ (x \ 1)) * y) \ 1) = K(((y \ (x \ 1)) * z) / ((y \ (x \ 1)) * y),u). [hyper(286,a,11784,a(flip),b,19286,a),flip(a)]. 19312 a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). [hyper(62,a,19043,a(flip),b,19305,a),flip(a)]. 19314 ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * ((x \ 1) * K(z,y))) * K(y,z). [hyper(286,a,13689,a,b,19281,a)]. 19315 a(x / y,y * K(z,u),K(u,z)) * ((x / y) * ((y * K(z,u)) * K(u,z))) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(62,a,17178,a,b,19281,a)]. 19318 K((x * ((y * K(z,u)) \ 1)) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(z,u)) \ w),v5). [hyper(13741,a,19245,a)]. 19319 K(((x * K(y * z,y)) * u) \ w,L(v5,w,x \ 1)) = K(u \ (T(K(y * z,y) * x,K(y,z)) \ w),v5). [para(12047(a,2),19245(a,2,1,2,1))]. 19320 K(((x * K(y,T(z,u))) * w) \ v5,L(v6,v5,x \ 1)) = K((w * K(y,K(z,u))) \ ((x * K(y,z)) \ v5),v6). [para(16911(a,1),19245(a,1,1,1))]. 19321 K(x,L(y,(z * K(u,w)) * v5,z \ 1)) = K(x,L(y,v5,z \ 1)). [hyper(286,a,19244,a(flip),b,19219,a),flip(a)]. 19324 K(x,L(y,z * K(u,w),L(v5,K(u,w),z) \ 1)) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,18820,a(flip),b,19321,a)]. 19325 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). [para(4669(a,1),19321(a,1,2,2))]. 19326 K((x * y) / z,L(u,x,y \ 1)) = K(x / (z / y),u). [hyper(62,a,18567,a(flip),b,19325,a),flip(a)]. 19327 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,((y * z) * (z \ 1)) \ ((z \ 1) * u)). [para(11394(a,1),19325(a,1,2)),flip(a)]. 19328 K(L(x,y,z \ 1),(y * z) / u) = (w * K(y / (u / z),x)) \ w. [para(19326(a,1),6895(a,1,1,2)),flip(a)]. 19329 K(L(x,y,z \ 1),(y * z) / u) = K(x,y / (u / z)). [hyper(286,a,15072,a(flip),b,19328,a),flip(a)]. 19330 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u / z)). [hyper(11807,a,19329,a)]. 19331 a(x \ 1,y,K(z \ (y * x),u)) * K(u,(y * x) / z) = K(u,y / (z / x)). [hyper(62,a,18028,a,b,19330,a)]. 19333 K(x,L(y,z * K(u,w),L(v5 \ 1,K(u,w),z))) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,14537,a,b,19324,a)]. 19334 K(x,L(y,z * K(u,w),v5 \ 1)) = K(x,L(y,z,v5 \ 1)). [hyper(17456,a,19333,a)]. 19335 K((x * y) \ (z * K(u,w)),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). [hyper(18422,a,19334,a),flip(a)]. 19336 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * ((y \ 1) * (z * K(u,w))),v5). [hyper(13913,a,19334,a),flip(a)]. 19337 K(x,L(y,K(z,u) / w,v5)) = K(x,L(y,w,v5 \ 1)). [hyper(62,a,17989,a(flip),b,19334,a)]. 19339 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z,v5 \ 1)). [hyper(62,a,18583,a,b,19337,a)]. 19340 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,(v5 \ 1) \ 1)). [hyper(14462,a,19339,a)]. 19342 a(x,y \ K(z,u),K(w,v5)) = K(v5,x) * K(x,L(v5,y,w \ 1)). [para(19339(a,1),14184(a,1,2)),flip(a)]. 19343 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). [hyper(286,a,16699,a(flip),b,19340,a),flip(a)]. 19347 K(((x * y) * z) \ (K(x,y) * u),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,18712,a(flip),b,19343,a),flip(a)]. 19348 K(x \ K(y,z),L(T(u,w * x),x,w)) = K(((x * w) \ w) * K(y,z),u). [hyper(62,a,17583,a(flip),b,19343,a),flip(a)]. 19351 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(1092(a,2),19343(a,1,2,2))]. 19352 K(x,L(y,(z \ u) \ u,w)) = K(x,L(y,z,w)). [para(4679(a,1),19343(a,1,2,2)),flip(a)]. 19353 K(x,L(y,z \ u,w)) = K(x,L(y,u / z,w)). [para(4699(a,1),19343(a,1,2,2)),flip(a)]. 19355 K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). [para(6030(a,1),19343(a,1,2,2)),flip(a)]. 19356 K(x,L(y,z * (K(u,w) * v5),v6)) = K(x,L(y,z * v5,v6)). [para(6567(a,1),19343(a,1,2,2)),flip(a)]. 19357 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [para(7844(a,1),19343(a,1,2,2))]. 19358 K(x,L(y,((z \ u) * z) * w,v5)) = K(x,L(y,u * w,v5)). [para(11382(a,1),19343(a,1,2,2))]. 19359 K(x,L(y,(T(z,u) * w) * v5,v6)) = K(x,L(y,(z * w) * v5,v6)). [para(14484(a,1),19343(a,1,2,2))]. 19360 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * T(z,w)) / (u * (y \ T(z,w)))). [hyper(16213,a,19351,a),flip(a)]. 19364 K(x,L(T(y \ T(z,y),u),y,y \ u)) = K(x,((u / T(y,z)) * z) / u). [hyper(62,a,19217,a(flip),b,19351,a),flip(a)]. 19366 K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,y)) \ u,w). [hyper(62,a,18413,a(flip),b,19351,a),flip(a)]. 19367 K(x,L((y / z) / T(u,w),u,z)) = K(x,y / (T(u,w) * z)). [hyper(62,a,14387,a(flip),b,19351,a),flip(a)]. 19368 K(x,L(T((y * z) / y,u),K(z,y) * w,v5)) = K(x,L(T((y * z) / y,u),w * z,v5)). [hyper(62,a,11874,a(flip),b,19351,a),flip(a)]. 19370 K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). [hyper(62,a,12224,a(flip),b,19352,a),flip(a)]. 19372 K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (x / y)) \ u,w). [hyper(286,a,11791,a(flip),b,19353,a),flip(a)]. 19379 K(x,L(y,z,u)) * K(w,L(v5,z,u)) = L(K(w,v5) * K(x,y),z,u). [para(19357(a,1),17762(a,1,2))]. 19381 K((x / y) \ (z \ u),L(w,y \ x,z)) = K((z * (y \ T(x,y))) \ u,w). [hyper(62,a,18548,a(flip),b,19355,a),flip(a)]. 19382 (K(x,L(y,z * u,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). [para(19356(a,1),18889(a,1,1,1))]. 19383 K(x,L(x \ y,y * z,u)) = K(x,L(x \ y,z,u)). [hyper(14522,a,19358,a),flip(a)]. 19384 ((x * y) * z) / ((((u \ x) * u) * y) * z) = K(u,L(u \ x,y,z)). [hyper(62,a,14440,a,b,19383,a)]. 19385 K(x,L((y / z) / a(u \ 1,u,w),a(u \ 1,u,w),z)) = K(x,y / (T(a(u \ 1,u,w),v5) * z)). [para(10764(a,1),19367(a,1,2,1,2))]. 19387 K(x,L(T(y \ (z * (u \ K(w,v5))),1),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [para(13627(a,1),19370(a,1,2,3))]. 19388 a(x,y \ K(z,u),K(w,v5)) = a(x,y,K(w \ 1,v5)). [hyper(286,a,14184,a(flip),b,19342,a),flip(a)]. 19389 a(x,y \ K(z,u),K(w,v5)) = a(w,y,K(x,v5)). [hyper(286,a,14190,a(flip),b,19388,a),flip(a)]. 19390 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(62,a,14475,a(flip),b,19389,a)]. 19392 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [para(1092(a,2),19390(a,1,2))]. 19396 T(x,a(y,K(z,u) * w,v5)) = x * a(x,w,K(v5,y)). [para(19390(a,1),14206(a,1,2)),flip(a)]. 19398 ((x * T(y,K(z,u))) * K(w,v5)) / a(x,y,K(w,v5)) = x * T(y * K(w,v5),K(z,u)). [para(19392(a,1),15920(a,1,2))]. 19399 T(x,a(y,K(z,u) * w,v5)) = T(x,a(y,w,v5)). [hyper(286,a,14206,a(flip),b,19396,a),flip(a)]. 19400 T(x,a(y,z * K(u,w),v5)) = T(x,a(y,z,v5)). [para(7844(a,1),19399(a,1,2,2))]. 19401 L(x,y * K(z,u),K(w,v5)) = T(x,a(v5,y,w)). [hyper(62,a,18098,a,b,19400,a)]. 19402 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(286,a,18098,a,b,19401,a),flip(a)]. 19403 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(62,a,17973,a,b,19402,a)]. 19404 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [para(4621(a,1),19402(a,1,2)),flip(a)]. 19405 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y \ 1,K(u,z)). [hyper(62,a,18648,a,b,19404,a)]. 19406 L(L(x,y,K(z,u)),y,K(u,z)) = x. [hyper(7465,a,19403,a),flip(a)]. 19407 L(x,y,K(z,u)) * ((K(w,v5) * y) * T(K(z,u),K(v5,w) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(19403(a,1),18409(a,1,1))]. 19408 L(x \ 1,y,K(z,u)) * L(x,w,v5) = L(x,y,K(z,u)) \ L(x,w,v5). [para(19406(a,1),19068(a,1,2,1)),flip(a)]. 19409 K(x,L((T(y,z) * u) \ ((T(w,v5) * v6) * v7),(w * v6) * v7,y \ 1)) = K(x,u \ (T(y,z) \ ((T(w,v5) * v6) * v7))). [hyper(62,a,18444,a(flip),b,19359,a),flip(a)]. 19411 L(x,y \ z,K(u,(y \ 1) \ (y \ z))) = L(x,y,K(z,u)). [hyper(286,a,18145,a(flip),b,19405,a),flip(a)]. 19412 L(x,y \ z,K(u,y * (y \ z))) = L(x,y,K(z,u)). [para(13500(a,1),19411(a,1,3))]. 19413 L(x,y \ z,K(u,z)) = L(x,y,K(z,u)). [para(10(a,1),19412(a,1,3,2))]. 19414 a(x,y \ z,K(u,z)) = (x * w) \ (L(x,y,K(z,u)) * w). [para(19413(a,1),18227(a,1,2,1)),flip(a)]. 19415 a(x,y \ z,K(u,z)) = a(x,y,K(z,u)). [hyper(286,a,18227,a(flip),b,19414,a),flip(a)]. 19416 a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). [hyper(286,a,14178,a,b,19415,a),flip(a)]. 19417 K(T(x,y) \ (z * u),L(w,x,z \ 1)) = K((z \ T(x,x \ y)) \ u,w). [hyper(62,a,13186,a(flip),b,19366,a)]. 19419 K(x,L(x \ y,z,u)) = K(x,x \ R(y,z,u)). [hyper(62,a,14704,a(flip),b,19384,a),flip(a)]. 19420 K(x,L(y,z,u)) * K(y,L(y \ x,z,u)) = a(y,y \ R(x,z,u),y). [para(19419(a,2),14380(a,1,2))]. 19421 (x * (L(y,z,K(u,w)) \ L(y,z,K(u,w)))) * a(x,y \ 1,y) = (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)). [para(19408(a,1),18406(a,1,1,2))]. 19422 L(K(x,x \ y) * K(y,x),z,u) = a(x,x \ R(y,z,u),x). [hyper(62,a,19379,a(flip),b,19420,a)]. 19423 a(x,x \ R(y,z,u),x) = L(a(x,x \ y,x),z,u). [para(9196(a,1),19422(a,1,1)),flip(a)]. 19425 a(x,x \ R(y,z,u),x) != w | a(x,x \ y,x) = w. [para(19423(a,2),13029(a,1))]. 19426 a(x,x \ ((y * z) \ z),x) = a(x,x \ (y \ 1),x). [hyper(19425,a,16167,a),flip(a)]. 19427 K((x * K(y,z)) / (x * u),w) = K(((u * x) \ x) * K(y,z),w). [hyper(11794,a,19348,a)]. 19429 K(((x * y) \ y) * K(z,u),w) = K(y * ((y * x) \ K(z,u)),w). [hyper(18208,a,19427,a),flip(a)]. 19430 K((x * y) * (((x * y) * z) \ K(y,x)),u) = K((z * (x * y)) \ (y * x),u). [para(13887(a,1),19429(a,1,1)),flip(a)]. 19432 K(x,((y / T(z,u)) * u) / y) = K(x,((y / z) * T(u,z)) / y). [hyper(62,a,11947,a(flip),b,19364,a),flip(a)]. 19438 K((x * (y \ T(z,y))) \ u,w) = K((x * (z / y)) \ u,w). [hyper(62,a,19372,a(flip),b,19381,a),flip(a)]. 19439 K((T(x,y / z) * (y / z)) \ u,w) = K(((T(z,y) \ y) * x) \ u,w). [hyper(62,a,18595,a(flip),b,19438,a),flip(a)]. 19440 K(((T(x,y) \ y) * z) \ u,w) = K(((y / x) * z) \ u,w). [hyper(18348,a,19439,a),flip(a)]. 19441 K(((x \ T(y,x)) * z) \ u,w) = K(((y / x) * z) \ u,w). [hyper(18596,a,19440,a)]. 19442 K((x \ T(y,y \ z)) \ u,w) = K((x \ T(y,z)) \ u,w). [hyper(62,a,19366,a(flip),b,19417,a),flip(a)]. 19443 K(x,(y \ T(z,z \ u)) \ w) = (v5 * K((y \ T(z,u)) \ w,x)) \ v5. [para(19442(a,1),6895(a,1,1,2)),flip(a)]. 19444 K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,z \ u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). [para(19442(a,1),8519(a,1,1,2))]. 19446 K(x,(y \ T(z,z \ u)) \ w) = K(x,(y \ T(z,u)) \ w). [hyper(286,a,15072,a(flip),b,19443,a),flip(a)]. 19447 K((x * (y * z)) \ (z * y),u) = K(x \ K(y,z),T(u,y * z)). [hyper(17593,a,19430,a),flip(a)]. 19448 a(x \ (y * z),y,K(z,u)) * K(u,(y * z) / x) = K(u,y / (x / z)). [para(14227(a,1),19331(a,1,1))]. 19449 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(14316(a,1),19448(a,1,1))]. 19450 a(x,y,K(z,y \ T(u,w \ v5))) * K(x,(y * z) / T(u,w * v5)) = K(x,y / (T(u,w \ v5) / z)). [para(17733(a,1),19449(a,1,2))]. 19451 a(x,y,K(z,u \ y)) * K(z,(y * x) / T(u,w)) = K(z,y / (T(u,w) / x)). [para(19275(a,1),19449(a,1,1))]. 19452 K(((x * y) \ z) * K(u,w),L(v5,z,x \ 1)) = K(y \ (x \ (z * K(u,w))),v5). [hyper(62,a,17379,a(flip),b,19335,a)]. 19453 K(x,(y * T(z,u)) / (y * (w \ T(z,u)))) = K(x,(y * z) / (y * (w \ z))). [hyper(15647,a,19360,a),flip(a)]. 19454 a(x,y,K(z,y \ T(u,w))) * K(x,(y * z) / T(u,v5)) = K(x,y / (T(u,v5) / z)). [para(19275(a,2),19451(a,1,1))]. 19455 K((K(x,T(y,z * u)) * z) \ (u \ w),v5) = K(z \ (u \ (w * K(y,x))),v5). [hyper(62,a,18726,a,b,19452,a)]. 19456 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ (y \ (w * K(z,u))),v5). [hyper(62,a,17587,a(flip),b,19452,a)]. 19457 K((x \ (y \ z)) * K(T(u,x * y),w),v5) = K(x \ (y \ (z * K(u,w))),v5). [hyper(62,a,17377,a(flip),b,19455,a)]. 19458 K(x \ (y \ (z * K(u,w))),v5) = K((x \ (y \ z)) * K(u,w),v5). [hyper(15481,a,19457,a),flip(a)]. 19460 K(((x \ 1) \ (y \ z)) * K(u,w),v5) = K(x * (y \ (z * K(u,w))),v5). [hyper(13551,a,19458,a),flip(a)]. 19462 K(x * (y \ (z * K(u,w))),v5) = K(x * ((y \ z) * K(u,w)),v5). [hyper(17424,a,19460,a),flip(a)]. 19464 (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * (z \ (u * K(w,v5)))). [para(19462(a,1),6895(a,1,1,2))]. 19465 K(x * ((y \ z) * K(u,w)),K(v5,v6)) * K(v6,(x * (y \ (z * K(u,w)))) * v5) = K(v6,v5 * (x * (y \ (z * K(u,w))))). [para(19462(a,1),12191(a,1,1))]. 19466 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [hyper(15158,a,19464,a),flip(a)]. 19467 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ ((K(v5,w) / z) \ 1)) * y). [para(19466(a,1),18785(a,1,2))]. 19468 (x * (y \ K(y,z))) * K(u,L(w,y,x \ 1)) = (x * K(y,z)) * ((y \ 1) * K(u,w)). [para(14420(a,1),19204(a,1,2))]. 19471 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K((((w / x) * K(y,x)) * z) / w,u). [hyper(62,a,19351,a(flip),b,19218,a)]. 19473 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,y)) * z) / w,u). [para(6605(a,1),19471(a,2,1,1,1))]. 19474 K(((x / T(y,z)) * z) / x,u) = K(z / y,L(T(u,x),y,y \ x)). [hyper(16047,a,19473,a),flip(a)]. 19475 K(T(x,y) \ z,L(T(u,w),x,x \ w)) = K(((w / T(x,x \ y)) * z) / w,u). [hyper(62,a,13186,a(flip),b,19473,a)]. 19476 K(((x / T(y,z)) * z) / x,u) = K(((x / y) * T(z,y)) / x,u). [hyper(286,a,16084,a(flip),b,19474,a),flip(a)]. 19477 K(((x / T(y,z)) * z) / x,u) = K(x \ (z * (y \ x)),u). [hyper(286,a,18509,a(flip),b,19476,a),flip(a)]. 19478 K(x \ K(y \ (z * (u \ y)),w),((y / T(u,z)) * z) / y) = K(x,(((y / T(u,z)) * z) / y) \ 1). [para(19477(a,1),8519(a,1,1,2))]. 19479 K(((x / T(y,y \ z)) * u) / x,w) = K(((x / T(y,z)) * u) / x,w). [hyper(62,a,19473,a(flip),b,19475,a),flip(a)]. 19480 K(x,((y / T(z,z \ u)) * w) / y) = (v5 * K(((y / T(z,u)) * w) / y,x)) \ v5. [para(19479(a,1),6895(a,1,1,2)),flip(a)]. 19482 K(x,((y / T(z,z \ u)) * w) / y) != v5 | K(x,((y / T(z,u)) * w) / y) = v5. [para(19480(a,2),6902(a,1))]. 19484 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((K(y,x) / x) / w) * (w * K(z,u)). [hyper(5747,a,19259,a)]. 19485 T(x,y) \ K(z,L(u,w,w \ (x \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). [para(4901(a,2),19484(a,2,1,1))]. 19486 T(x,y) \ K(z,L(u,w,x \ (w \ 1))) = ((x \ K(y,x)) / w) * (w * K(z,u)). [hyper(62,a,18082,a(flip),b,19485,a)]. 19487 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (((x \ 1) / z) * (z * K(u,w))) \ 1. [para(19486(a,1),18081(a,1,1))]. 19488 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w)),v5). [hyper(286,a,17270,a,b,19336,a),flip(a)]. 19490 K((((x * y) * z) \ u) * K(x,y),L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,17380,a(flip),b,19347,a)]. 19491 ((x * T(y,K(z,u))) * K(w,v5)) * a(v5,y,K(w,x)) = x * T(y * K(w,v5),K(z,u)). [hyper(14205,a,19398,a)]. 19494 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K(x * (y \ (w * K(z,u))),v5). [hyper(286,a,13494,a(flip),b,19456,a),flip(a)]. 19495 K((x / y) * (z * K(u,w)),L(v5,z,y \ 1)) = K(x * (((y \ 1) * z) * K(u,w \ 1)),v5). [hyper(16999,a,19488,a)]. 19496 K(((x * T(y,x)) * z) \ u,L(w,u,y \ (x \ 1))) = K(z \ ((y * x) \ u),w). [hyper(62,a,17589,a(flip),b,19490,a)]. 19497 K(((x * y) * z) \ u,L(w,u,x \ (y \ 1))) = K(z \ ((x * y) \ u),w). [para(108(a,1),19496(a,1,1,1,1))]. 19498 K(x \ (T(y * z,y) \ u),w) = K(x \ ((z * y) \ u),w). [hyper(62,a,18570,a(flip),b,19497,a)]. 19499 K((x \ 1) \ ((y * z) \ u),w) = K(x * (T(z * y,z) \ u),w). [hyper(13551,a,19498,a),flip(a)]. 19500 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [hyper(13551,a,19499,a),flip(a)]. 19501 K(x * (T(y * z,y) \ u),w) != v5 | K(x * ((z * y) \ u),w) = v5. [para(19499(a,1),13551(a,1))]. 19502 K(K(x,y) * (z * ((y * x) \ u)),w) = K(z * ((x * y) \ u),w). [hyper(62,a,17853,a,b,19500,a)]. 19503 K(x * (T((y \ 1) * z,y) \ u),w) = K(x * ((z * (y \ 1)) \ u),w). [hyper(62,a,17950,a(flip),b,19500,a)]. 19504 K(x * (T(y * z,z) \ u),w) = K(x * ((z * y) \ u),w). [hyper(62,a,17667,a(flip),b,19502,a)]. 19505 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * (((z \ 1) * y) \ u),w). [hyper(62,a,17950,a(flip),b,19504,a)]. 19506 K(x * (T((y \ 1) * z,y) \ u),w) != v5 | K(x * ((z * (y \ 1)) \ u),w) = v5. [para(17950(a,1),19501(a,1))]. 19508 K(x * (L(T(y,z) / z,T(z,y),z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(62,a,17954,a(flip),b,19503,a)]. 19509 K(x * (((y * z) * (z \ 1)) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). [hyper(62,a,17244,a(flip),b,19503,a),flip(a)]. 19510 K(x * (T(((y \ 1) * K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). [para(6041(a,2),19503(a,1,1,2,1,1))]. 19511 K(x * (R(y,z,z \ 1) \ u),w) = K(x * (L(y,z,z \ 1) \ u),w). [para(458(a,1),19509(a,1,1,2,1))]. 19512 K(x * (L(y,z,z \ 1) \ u),L(w,u,R(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(18192,a,19511,a),flip(a)]. 19513 K(a(x,y,x) * (L(z,u,u \ 1) \ w),v5) = K(R(z,u,u \ 1) \ w,v5). [hyper(13175,a,19511,a),flip(a)]. 19514 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(17259,a,19513,a),flip(a)]. 19515 K(L(x \ 1,y,y \ 1) \ z,u) = K(L(x,y \ 1,y) * z,u). [hyper(13744,a,19514,a),flip(a)]. 19516 (x * K(L(y,z,z \ 1) \ u,w)) \ x = K(w,(z * ((y * z) \ 1)) * u). [para(19514(a,1),13860(a,1,1,2))]. 19517 K(R(x,y \ 1,y) * z,u) = K(L(x,y \ 1,y) * z,u). [hyper(13743,a,19515,a)]. 19518 K(L(x,y \ 1,y) * z,T(u,R(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). [hyper(12095,a,19517,a),flip(a)]. 19519 K(x,(y * ((z * y) \ 1)) * u) = K(x,L(z,y,y \ 1) \ u). [hyper(15158,a,19516,a),flip(a)]. 19520 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(13750,a,19519,a)]. 19521 K(x,L(y / z,z,z \ 1) \ u) = K(x,(z * (y \ 1)) * u). [para(12(a,1),19519(a,1,2,1,2,1)),flip(a)]. 19522 T(K(x,L(y,z,z \ 1) \ u),y \ 1) = K(x,u / R(y,z,z \ 1)). [para(19519(a,1),14058(a,1,1))]. 19523 K(x,a(y,z,z \ 1) \ ((y \ 1) * u)) = K(x,L(y,z,z \ 1) \ u). [hyper(62,a,18738,a,b,19520,a)]. 19524 K(x,T(L(y,z,z \ 1) \ u,y)) = K(x,u / R(y,z,z \ 1)). [hyper(8477,a,19522,a)]. 19525 K(x,y / R(z,u,u \ 1)) = K(x,y / L(z,u,u \ 1)). [hyper(16720,a,19524,a),flip(a)]. 19526 K(x,y / R(z,u,u \ 1)) != w | K(x,y / L(z,u,u \ 1)) = w. [para(19524(a,1),16720(a,1))]. 19527 K(x,a(y,z,z \ 1) \ (y \ u)) = K(x,L(y,z,z \ 1) \ u). [hyper(62,a,18846,a(flip),b,19523,a)]. 19528 K(x * (L(y / z,z,z \ 1) \ u),w) != v5 | K(x * ((y * (z \ 1)) \ u),w) = v5. [para(17230(a,2),19506(a,1))]. 19529 K(L(x,y \ 1,y) * z,T(u,L(x,y \ 1,y))) = K(z * R(x,y \ 1,y),u). [para(14356(a,1),19518(a,1,2))]. 19530 K(x * R(y,z \ 1,z),u) = K(x * L(y,z \ 1,z),u). [hyper(12095,a,19529,a),flip(a)]. 19531 K(x,K(y * L(z,u \ 1,u),w * v5)) = K(x,K(z * y,w * v5)). [para(19530(a,1),18977(a,1,2))]. 19532 K(x,K(y * (L(z,u \ 1,u) * w),v5 * v6)) = K(x,K(z * (w * y),v5 * v6)). [hyper(62,a,18970,a(flip),b,19531,a)]. 19533 (x * T(y,K(z,u))) * (a(w,y,K(v5,x)) * K(v5,w)) = x * T(y * K(v5,w),K(z,u)). [hyper(62,a,17468,a(flip),b,19491,a)]. 19534 (x * T(y,K(z,u))) * K(w,L(v5,y,x)) = x * T(y * K(w,v5),K(z,u)). [para(14201(a,1),19533(a,1,2))]. 19535 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T((K(z,u) / y) * K(w,v5),K(z,u)). [para(12182(a,1),19534(a,1,1,2))]. 19536 K((x * (y * T(z,K(u,w)))) * (v5 * K(L(v6,z,y),v7)),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). [para(19534(a,1),19147(a,1,1,1,2)),flip(a)]. 19538 K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T((y * z) / y,u),w,v5)). [hyper(62,a,19343,a(flip),b,19368,a),flip(a)]. 19540 K(x,L(T((y * z) / y,u),w * z,v5)) = K(x,L(T(T(z,u),y),w,v5)). [hyper(286,a,8589,a(flip),b,19538,a),flip(a)]. 19541 K(x,L(T(T(y,z),u),w * y,v5)) = K(x,L(T(T(y,z),u),w,v5)). [hyper(62,a,8589,a(flip),b,19540,a)]. 19542 K(x,L(T(T(y,z),(z * y) * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,16303,a(flip),b,19541,a),flip(a)]. 19543 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(62,a,14590,a(flip),b,19542,a)]. 19544 K(x,(y * z) \ ((y * u) * z)) = K(x,(z * y) / (z * (u \ y))). [hyper(15647,a,19543,a),flip(a)]. 19545 K(x,(y * z) \ ((y * u) * z)) = K(x,(z * (u * y)) / (z * y)). [hyper(62,a,15548,a(flip),b,19543,a),flip(a)]. 19546 K(x,L((y * (z * u)) / (y * u),w,v5)) = K(x,(u * y) \ ((u * R(z,w,v5)) * y)). [hyper(286,a,16139,a,b,19544,a)]. 19547 K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(u * y) / (u * (w \ y))). [hyper(286,a,19453,a(flip),b,19544,a),flip(a)]. 19548 K(x,(y * (y \ z)) \ ((y * u) * (y \ z))) = K(x,((z / y) * (u * y)) / z). [hyper(286,a,15698,a(flip),b,19544,a),flip(a)]. 19549 K(x \ y,(y * z) \ ((y * u) * z)) = K((x * z) \ (y * z),u). [hyper(286,a,15540,a(flip),b,19544,a),flip(a)]. 19550 K(x,(y * z) \ ((y * u) * z)) = (z * (K(x,u) * y)) / (z * y). [hyper(286,a,10379,a(flip),b,19544,a),flip(a)]. 19551 K((x * y) / ((z \ x) * y),(u * w) \ ((u * v5) * w)) = K(z,L((w * (v5 * u)) / (w * u),x,y)). [hyper(14418,a,19545,a(flip)),flip(a)]. 19552 K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ ((y / z) * z),u). [para(12(a,1),19549(a,1,2,1))]. 19553 K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,((y / z) * z) \ (((y / z) * y) * z)). [hyper(13933,a,19550,a(flip))]. 19554 K(x,(T(y,z) * u) \ ((T(y,z) * w) * u)) = K(x,(y * u) \ ((y * w) * u)). [hyper(286,a,19544,a,b,19547,a),flip(a)]. 19555 K(x,y \ ((z * u) * (z \ y))) = K(x,((y / z) * (u * z)) / y). [para(10(a,1),19548(a,1,2,1))]. 19556 K(x,L(T(T(y,z),u),z,z \ u)) = K(x,u \ ((z * y) * (z \ u))). [hyper(286,a,11949,a,b,19555,a)]. 19558 K(x \ (y / z),y \ (((y / z) * u) * z)) = K((x * z) \ y,u). [para(12(a,1),19552(a,2,1,2))]. 19559 K((((x / y) / z) * y) \ x,u) = K(z,x \ (((x / y) * u) * y)). [hyper(7507,a,19558,a),flip(a)]. 19561 K(T(T(x,y / z),x \ (y / z)),y \ (((y / z) * u) * z)) = K(((x \ T(y / z,x)) * z) \ y,u). [para(8961(a,2),19558(a,1,1))]. 19562 K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = L(K(x,(y * u) \ ((y * w) * u)),v5,v6). [para(19554(a,1),11732(a,1,1)),flip(a)]. 19563 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * (((x \ 1) / z) \ 1). [hyper(286,a,13593,a(flip),b,19487,a),flip(a)]. 19564 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (K(w,u) / z) * ((z \ 1) \ x). [para(6425(a,1),19563(a,2,2))]. 19565 (((x \ K(y,x)) / z) * (z * K(u,w))) \ K(y,x) = (z \ 1) * ((K(u,w) / z) \ x). [hyper(286,a,18808,a(flip),b,19564,a),flip(a)]. 19566 K(x,(y * (z \ u)) * (w * K(v5,L(v6,u,z \ 1)))) = K(x,(y * (z \ (u * K(v6,v5)))) * w). [para(11780(a,1),19160(a,1,2,2,2))]. 19568 K(x,L(T(T(y \ z,y),u),y,y \ u)) = K(x,((u / T(y,y \ z)) * z) / u). [hyper(62,a,19351,a(flip),b,19216,a)]. 19570 K(x,y \ ((z * (z \ u)) * (z \ y))) = K(x,((y / T(z,z \ u)) * u) / y). [hyper(62,a,19556,a(flip),b,19568,a)]. 19571 K(x,((y / T(z,z \ u)) * u) / y) = K(x,y \ (u * (z \ y))). [para(10(a,1),19570(a,1,2,2,1)),flip(a)]. 19572 K(x,((y / T(z,u)) * u) / y) = K(x,y \ (u * (z \ y))). [hyper(19482,a,19571,a)]. 19574 K(x,((y / z) * T(u,z)) / y) = K(x,y \ (u * (z \ y))). [hyper(62,a,19432,a(flip),b,19572,a)]. 19575 ((x / y) * (y * K(T(z,x),u))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). [hyper(62,a,17224,a(flip),b,19240,a)]. 19577 ((x / y) * (y * K(z,T(u,x)))) \ K(w,v5) = ((x \ K(w,v5)) / (y \ 1)) * (y \ K(u,z)). [para(7777(a,1),19575(a,1,1,2,2))]. 19578 ((x \ K(y,z)) / (u \ 1)) * (u \ K(w,v5)) = (u * ((K(w,v5) * u) \ x)) \ K(y,z). [para(18853(a,1),19577(a,1,1)),flip(a)]. 19579 ((x \ (K(y,z) * u)) \ 1) * (x \ K(w,v5)) = (x * ((K(w,v5) * x) \ u)) \ K(z,y). [para(13626(a,2),19578(a,1,1))]. 19580 (x \ K(y,z)) * K(u,L(w,v5,v5 \ x)) = (v5 * ((K(u,w) * v5) \ x)) \ K(y,z). [hyper(62,a,19239,a(flip),b,19579,a)]. 19581 ((x \ 1) * ((K(y,z) / x) \ u)) * K(w,v5) = (x \ 1) * ((K(y,z) / x) \ (u * K(w,v5))). [hyper(62,a,18809,a(flip),b,19260,a)]. 19582 K((x * (K(y,z) / u)) * w,L(v5,w,u \ 1)) = K((x \ 1) \ ((u * K(z,y)) \ w),v5). [para(13591(a,1),19318(a,1,1,1,2))]. 19583 K((x * (y \ K(z,u))) * w,L(v5,w,y \ 1)) = K((x \ 1) \ ((y * K(u,z)) \ w),v5). [hyper(15632,a,19582,a)]. 19584 K((x \ 1) \ ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). [hyper(62,a,19494,a(flip),b,19583,a),flip(a)]. 19585 K(x * ((y * K(z,u)) \ w),v5) = K(x * (y \ (w * K(u,z))),v5). [hyper(13551,a,19584,a)]. 19586 K(x * ((K(y,z) * u) \ w),v5) = K(x * (u \ (w * K(z,y))),v5). [hyper(16849,a,19585,a)]. 19587 K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u \ w) * K(z,y)),v5). [hyper(286,a,19462,a(flip),b,19586,a),flip(a)]. 19589 K(x * (((y * z) \ u) * K(w,y)),v5) = K(x * ((T(y,w) * z) \ u),v5). [para(4675(a,1),19587(a,1,1,2,1)),flip(a)]. 19590 (x * K(y * ((z \ u) * K(w,v5)),v6)) \ x = K(v6,y * ((K(v5,w) * z) \ u)). [para(19587(a,1),6895(a,1,1,2))]. 19591 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w \ v5) * K(u,z))). [hyper(15158,a,19590,a),flip(a)]. 19592 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) * K(u,w))). [hyper(18149,a,19591,a)]. 19593 K(x,(y \ 1) * ((z \ u) * K(w,v5))) = K(x,y \ ((K(v5,w) * z) \ u)). [hyper(13560,a,19591,a),flip(a)]. 19594 K(x,K(y,z \ u)) * K(x,y * ((u \ z) * K(w,v5))) = K(x,(u \ (K(w,v5) * z)) * y). [para(19592(a,1),16808(a,1,2))]. 19595 K(x,y \ ((K(z,u) * w) \ v5)) = K(x,y \ ((w \ v5) * K(u,z))). [hyper(13560,a,19593,a),flip(a)]. 19596 K(x,y \ ((K(z,u) * w) \ v5)) = K(x,(y \ (w \ v5)) * K(u,z)). [hyper(286,a,18286,a(flip),b,19595,a),flip(a)]. 19597 T(x,K(y,(z \ (u \ (w \ 1))) * K(v5,v6))) = T(x,K(y,(w / (u \ K(v5,v6))) * z)). [para(19596(a,1),13820(a,1,2))]. 19598 T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,v6 \ (u \ (z \ 1)))). [hyper(15877,a,19597,a),flip(a)]. 19600 T(x,K(y,(z / (u \ K(w,v5))) * v6)) = T(x,K(y,z * (u * v6))). [hyper(286,a,17227,a(flip),b,19598,a),flip(a)]. 19601 T(x,K(y,((z \ K(u,w)) \ v5) * v6)) = T(x,K(y,v5 * (z * v6))). [hyper(15876,a,19600,a)]. 19602 T(x,K(y,z * ((u \ K(w,v5)) \ v6))) = T(x,K(y,z * (u * v6))). [hyper(18950,a,19601,a)]. 19603 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). [hyper(62,a,19170,a(flip),b,19602,a)]. 19604 K(x,(y \ (K(z,u) * w)) * v5) = K(x,K(u,z) * ((y \ w) * v5)). [hyper(62,a,18365,a(flip),b,19594,a),flip(a)]. 19605 K(x,(y \ (K(z,u) * w)) * v5) = K(x,(y \ w) * (K(z,u) * v5)). [hyper(286,a,17064,a(flip),b,19604,a),flip(a)]. 19606 K(x,(y \ (z * u)) * (K(z,w) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). [para(4675(a,1),19605(a,1,2,1,2)),flip(a)]. 19607 K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (z * w)) * (K(u,z) * v5)). [para(5885(a,1),19605(a,1,2,1,2))]. 19608 K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ (T(y,z) * w)) * v5). [hyper(17075,a,19606,a)]. 19609 K(x,(y \ (z * u)) * (K(w,z) * v5)) = K(x,(y \ (T(z,w) * u)) * v5). [hyper(17130,a,19608,a)]. 19610 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (T(z,u) * u)) * w). [hyper(62,a,17104,a(flip),b,19608,a)]. 19611 K(x,(y \ (z * (K(u,z) * w))) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [hyper(286,a,19609,a(flip),b,19607,a),flip(a)]. 19612 K(x,(y \ (T(z,u) * u)) * w) = K(x,(y \ (u * z)) * w). [para(4740(a,1),19611(a,1,2,1,2)),flip(a)]. 19613 K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(6044(a,2),19611(a,1,2,1,2)),flip(a)]. 19614 K(x,(y \ T(z * u,u)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,19610,a,b,19612,a)]. 19615 K(x,(y \ T(z * u,z)) * w) = K(x,(y \ (u * z)) * w). [hyper(62,a,18906,a(flip),b,19614,a)]. 19616 K(x,(y \ T((K(z \ u,z) * w) * z,K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(6044(a,2),19615(a,2,2,1,2))]. 19618 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,R(y,z,z \ 1) \ ((z \ 1) * u)). [para(458(a,1),19327(a,2,2,1))]. 19619 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,L(y,z,z \ 1) \ ((z \ 1) * u)). [hyper(286,a,19520,a(flip),b,19618,a),flip(a)]. 19620 K(x,L(T(y * z,z \ 1) \ u,y,z \ 1)) = K(x,y \ (z \ u)). [hyper(286,a,18537,a(flip),b,19619,a),flip(a)]. 19621 K(x,y \ (L(z \ 1,z,y) * u)) = K(x,y \ (z \ u)). [hyper(62,a,18692,a(flip),b,19620,a)]. 19622 K(x,T(y,z) \ (L(u \ 1,u,y) * w)) = K(x,T(y,z) \ (u \ w)). [para(18171(a,1),19621(a,1,2,2,1))]. 19623 (K(x,L(y,z,u)) * (z * (K(w,v5) * u))) / u = K(x,y) * ((z * u) / (K(v5,w) * u)). [para(18183(a,1),19382(a,1,1,1))]. 19625 ((K(x,y) * z) * (K(u,w) * v5)) / v5 = K(x,y) * ((z * v5) / (K(w,u) * v5)). [para(19212(a,1),19623(a,1,1))]. 19626 ((K(x,y) * z) * u) / (K(w,v5) * u) = K(x,y) * ((z * u) / (K(w,v5) * u)). [hyper(62,a,18887,a(flip),b,19625,a)]. 19627 K(x,y) * ((z * u) / (K(w,T(v5,z)) * u)) = u \ ((u * K(v5,w)) * (K(x,y) * z)). [hyper(62,a,18891,a(flip),b,19626,a),flip(a)]. 19628 x \ ((x * K(y,z)) * (K(u,w) * v5)) = K(u,w) * (x \ ((x * K(y,z)) * v5)). [para(18890(a,1),19627(a,1,2)),flip(a)]. 19629 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [hyper(18864,a,19628,a),flip(a)]. 19630 x \ ((x * K(y,z)) * (K(u,T(w,x \ ((x * K(y,z)) * v5))) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [hyper(286,a,8146,a(flip),b,19628,a),flip(a)]. 19631 T(L(x,K(y,z),u),((u * K(z,y)) * x) \ u) = (u \ ((u * K(z,y)) * x)) * K(y,z). [para(19629(a,1),13784(a,1,1))]. 19632 T(L(x,K(y,z),u),((u * x) \ u) * K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). [hyper(62,a,18329,a(flip),b,19631,a)]. 19633 T(L(x,K(y,z),u),x \ K(z,y)) = (u \ ((u * K(z,y)) * x)) * K(y,z). [hyper(62,a,18346,a(flip),b,19632,a)]. 19635 L(T(x,x \ K(y,z)),K(z,y),u) = (u \ ((u * K(y,z)) * x)) * K(z,y). [hyper(62,a,25,a,b,19633,a)]. 19636 (x \ ((x * K(y,z)) * u)) * K(z,y) = L(T(u,K(z,y)),K(z,y),x). [para(12187(a,1),19635(a,1,1)),flip(a)]. 19637 K((x / T(y,z)) * u,L(w,u,y \ 1)) = K(x * (((y \ 1) * u) * K(z,y \ 1)),w). [hyper(62,a,16995,a(flip),b,19495,a)]. 19638 K(x * (((y \ 1) * z) * K(u,y \ 1)),w) = K(x * ((T(y,u) \ 1) * z),w). [hyper(16779,a,19637,a),flip(a)]. 19639 K(x * ((y \ 1) * (z * K(u,y \ 1))),w) = K(x * ((T(y,u) \ 1) * z),w). [hyper(17275,a,19638,a)]. 19640 K(x * (T(y \ 1,z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [hyper(62,a,19124,a(flip),b,19639,a)]. 19641 K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((T(y,z) \ 1) * u),w). [hyper(286,a,17557,a(flip),b,19640,a),flip(a)]. 19642 K(x * (T(y \ 1,y \ z) * u),w) = K(x * ((((y \ z) \ z) \ 1) * u),w). [para(109(a,1),19640(a,2,1,2,1,1))]. 19643 K(x * (T((y * z) \ 1,y \ 1) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). [para(3892(a,1),19640(a,2,1,2,1,1))]. 19644 (x * K(y * (T(z \ 1,u) * w),v5)) \ x = K(v5,y * ((T(z,u) \ 1) * w)). [para(19640(a,2),6895(a,1,1,2))]. 19645 K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T((y \ 1) \ 1,z) * u),w). [para(15355(a,2),19640(a,2,1,2,1)),flip(a)]. 19646 K(x * (T(y \ 1,y \ z) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(286,a,19640,a,b,19641,a),flip(a)]. 19647 K(x * ((((y \ z) \ z) \ 1) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(62,a,19646,a(flip),b,19642,a),flip(a)]. 19648 K(x,y * (T(z \ 1,u) * w)) = K(x,y * ((T(z,u) \ 1) * w)). [hyper(15158,a,19644,a)]. 19649 K(x,(y \ 1) * (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). [hyper(286,a,13501,a(flip),b,19648,a),flip(a)]. 19650 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * ((T(z \ 1,u) * w) / T(z \ 1,u)))). [para(3662(a,2),19648(a,1,2,2))]. 19651 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ ((T(z,u) \ 1) * w)). [hyper(13560,a,19649,a)]. 19652 K(x,y \ (T(z \ 1,z \ u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). [para(109(a,1),19651(a,2,2,2,1,1))]. 19653 K(x,y \ (T(z \ 1,z * u) * w)) = K(x,y \ ((((z \ u) \ u) \ 1) * w)). [hyper(62,a,18462,a(flip),b,19652,a)]. 19654 K(x,y \ ((((z \ u) \ u) \ 1) * w)) = K(x,y \ (T(z \ 1,u) * w)). [hyper(62,a,13203,a(flip),b,19653,a),flip(a)]. 19655 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,((z \ u) \ u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13841(a,2),19654(a,1,2))]. 19656 K(x * ((T(y,y \ 1) * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). [para(4893(a,1),19645(a,2,1,2,1,1))]. 19657 K(x * ((y * K(z,1 / y)) * u),w) = K(x * (T(y,z) * u),w). [para(4883(a,1),19656(a,1,1,2,1,1))]. 19658 K(x * ((y * K(z,y \ 1)) * u),w) = K(x * (T(y,z) * u),w). [para(3318(a,2),19657(a,1,1,2,1,2))]. 19659 K(x * (y * (K(z,y \ 1) * u)),w) = K(x * (T(y,z) * u),w). [para(6474(a,1),19658(a,1,1,2))]. 19660 K(x * (T(y,z \ 1) * u),w) = K(x * (T(y,z) * u),w). [hyper(62,a,19129,a(flip),b,19659,a)]. 19661 K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((((y * z) \ z) \ z) \ 1) * u),w). [hyper(62,a,19643,a(flip),b,19660,a),flip(a)]. 19662 K(x * (T((y * z) \ 1,z) * u),w) = K(x * (T((y * z) \ 1,y) * u),w). [hyper(286,a,19647,a(flip),b,19661,a)]. 19663 K(x * (L(T(y,z) / z,z,z \ 1) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [para(7330(a,1),19508(a,1,1,2,1))]. 19664 K(x * ((T(y,z) * (z \ 1)) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(19528,a,19663,a)]. 19666 K(x,(y * (z \ (u * K(w,v5)))) * v6) = K(x,K(w,v5) * ((y * (z \ u)) * v6)). [hyper(17191,a,19566,a),flip(a)]. 19667 K(x,(y * (K(z,y \ K(u,w)) * (v5 \ K(w,u)))) * v6) = K(x,(v5 * T(y \ K(u,w),z)) \ v6). [para(16872(a,1),19164(a,1,2,1,2))]. 19668 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,(v5 \ K(v8,v9)) * (u \ K(v5,w)))). [hyper(286,a,18046,a(flip),b,19308,a),flip(a)]. 19669 K(x,(y \ ((K(z,u) / w) \ 1)) * v5) = K(x,K(z,u) * ((y \ w) * v5)). [hyper(62,a,18365,a(flip),b,19467,a),flip(a)]. 19670 K(x,(y \ (z * K(u,w))) * v5) = K(x,K(w,u) * ((y \ z) * v5)). [para(13520(a,1),19669(a,1,2,1,2))]. 19671 K(x,K(y,z \ u) * (((u / z) \ y) * w)) = K(x,(y / (u / z)) * w). [hyper(17558,a,19670,a),flip(a)]. 19672 K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * T(z,y))) * v5). [para(6811(a,1),19670(a,1,2,1,2)),flip(a)]. 19673 K(x,((y / z) \ T(u,z \ y)) * w) = K(x,(u / (y / z)) * w). [hyper(62,a,17102,a(flip),b,19671,a)]. 19674 K(x,K(y,z) * ((u \ (w * y)) * v5)) = K(x,(u \ (w * T(y,z))) * v5). [hyper(14721,a,19672,a)]. 19675 K(x,T(y,z)) * K(z * (y / z),K(x,T(y,z))) = K(x,y \ (((y / z) * y) * z)). [para(12(a,1),19553(a,2,2,1))]. 19677 K(x,T(y,z)) * K(x,K(z * (y / z),T(y,z))) = K(x,y \ (((y / z) * y) * z)). [para(8056(a,1),19675(a,1,2))]. 19679 K(x,T(y,z)) * K(x,K((y / z) * z,y)) = K(x,y \ (((y / z) * y) * z)). [para(12087(a,1),19677(a,1,2,2))]. 19681 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,K(y,y)). [para(12(a,1),19679(a,1,2,2,1)),flip(a)]. 19682 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * K(x,1). [para(159(a,1),19681(a,2,2,2))]. 19684 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)) * 1. [para(252(a,1),19682(a,2,2))]. 19685 K(x,y \ (((y / z) * y) * z)) = K(x,T(y,z)). [hyper(286,a,8,a(flip),b,19684,a),flip(a)]. 19687 K(x,L((T(y,z) * u) \ ((T(y,z) * w) * u),v5,v6)) = K(x,L((y * u) \ ((y * w) * u),v5,v6)). [hyper(286,a,11732,a(flip),b,19562,a),flip(a)]. 19688 K(x,(y * (z \ K(u,w))) * (v5 * K(y \ K(w,u),v6))) = K(x,(z * T(y \ K(w,u),v6)) \ v5). [hyper(19152,a,19667,a)]. 19689 K(x,L(y,z,u \ (((w * v5) / w) \ K(v6,v7)))) = K(x,L(y,z,K(v8,v9) * (v5 \ (u \ K(v5,w))))). [hyper(286,a,17574,a(flip),b,19668,a),flip(a)]. 19690 K(x,(y * (z \ K(u,w))) * (K(v5,y) * v6)) = K(x,(z * T(y \ K(w,u),v5)) \ v6). [hyper(62,a,17319,a(flip),b,19688,a)]. 19692 K(x,(y * T(z \ K(u,w),v5)) \ v6) = K(x,(T(z,v5) * (y \ K(w,u))) * v6). [hyper(62,a,19154,a(flip),b,19690,a),flip(a)]. 19693 K(x,(T(y,z) * ((u \ 1) \ K(K(w,v5),v6))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(v6,K(w,v5))) \ (v7 * (y \ 1))). [hyper(62,a,18010,a(flip),b,19692,a),flip(a)]. 19694 K(x,L(y,z,u \ (((w * v5) / w) \ 1))) = K(x,L(y,z,K(v6,v7) * (v5 \ (u \ K(v5,w))))). [hyper(62,a,19238,a(flip),b,19689,a)]. 19695 K(x,L(y,z,K(u,w) * (v5 \ (v6 \ K(v5,v7))))) = K(x,L(y,z,v6 \ (T(v5,v7) \ 1))). [hyper(62,a,16188,a(flip),b,19694,a),flip(a)]. 19696 K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ K(w,v5)))). [hyper(62,a,19203,a(flip),b,19695,a),flip(a)]. 19698 K(x,L(y,z,u \ (T(w,v5) \ 1))) = K(x,L(y,z,w \ (u \ 1))). [hyper(286,a,19238,a(flip),b,19696,a),flip(a)]. 19699 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((T(u,w) \ 1) / x) * y) * T(u,w),z). [hyper(15498,a,19698,a),flip(a)]. 19700 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * T(K(z,u) * (y \ K(w,v5)),K(z,u)). [para(16873(a,1),19535(a,2,2,1))]. 19701 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L((z * (u * y)) / (z * y),w,v5)). [hyper(14418,a,19551,a)]. 19702 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,(y * z) \ ((y * R(u,w,v5)) * z)). [hyper(286,a,19546,a(flip),b,19701,a),flip(a)]. 19703 K(x,L((y * z) \ ((y * u) * z),z,(u * y) \ 1)) = K(x,z / ((z * y) / (u * y))). [hyper(286,a,19330,a(flip),b,19701,a),flip(a)]. 19704 K(x,((y * z) \ (y * u)) \ u) = K(x,u / ((u * y) / (z * y))). [hyper(62,a,19241,a(flip),b,19703,a)]. 19705 (x * (y \ K(z,u))) * K(w,L(v5,K(z,u) / y,x)) = x * ((y \ K(w,v5)) * K(z,u)). [para(7894(a,1),19700(a,2,2))]. 19706 (x * (y \ K(z,u))) * K(w,L(v5,y,x \ 1)) = x * ((y \ K(w,v5)) * K(z,u)). [para(19337(a,1),19705(a,1,2))]. 19707 (x * K(y,z)) * ((y \ 1) * K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). [hyper(62,a,19468,a(flip),b,19706,a)]. 19709 (x * K(y,z)) * (y \ K(u,w)) = x * ((y \ K(u,w)) * K(y,z)). [para(13512(a,1),19707(a,1,2))]. 19710 x * ((y \ K(y,z)) * K(y,u \ 1)) = (x * T(y \ 1,u)) * K(y,z). [hyper(62,a,7294,a(flip),b,19709,a),flip(a)]. 19711 x * (K(y,z) * (y \ K(y,u \ 1))) = (x * T(y \ 1,u)) * K(y,z). [para(13579(a,1),19710(a,1,2))]. 19712 (x * T(y \ 1,z)) * K(y,u) = x * (K(y,u) * T(y \ 1,z)). [para(6464(a,1),19711(a,1,2,2)),flip(a)]. 19713 T(x * K(y,z \ 1),y \ 1) * T(y \ 1,u) = T(x,y \ 1) * (K(y,u \ 1) * T(y \ 1,z)). [hyper(62,a,11544,a,b,19712,a)]. 19714 K(x,L(a(y \ 1,y,z) \ (u / w),a(y \ 1,y,z),w)) = K(x,u / (T(a(y \ 1,y,z),v5) * w)). [para(10762(a,2),19385(a,1,2,1))]. 19715 K(x \ K((y \ T(z,u)) \ w,v5),(y \ T(z,u)) \ w) = K(x,((y \ T(z,z \ u)) \ w) \ 1). [hyper(62,a,19446,a(flip),b,19444,a)]. 19716 K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,((y \ T(z,u)) \ w) \ 1). [hyper(15373,a,19715,a),flip(a)]. 19717 K(x,((y \ T(z,z \ u)) \ w) \ 1) = K(x,w \ (y \ T(z,u))). [hyper(286,a,6717,a(flip),b,19716,a),flip(a)]. 19718 K(x,y \ (z \ T(u,u \ w))) = K(x,y \ (z \ T(u,w))). [hyper(6979,a,19717,a)]. 19719 K(x,y \ (T(z,T(u,w)) \ T(u,w))) = K(x,y \ (T(u,u \ w) / z)). [hyper(62,a,18833,a(flip),b,19718,a),flip(a)]. 19720 K(x,y \ (T(z,z \ u) / w)) = K(x,y \ (T(z,u) / w)). [hyper(62,a,18832,a(flip),b,19719,a),flip(a)]. 19721 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (T(y,z) / z)). [hyper(62,a,17767,a,b,19720,a)]. 19722 a(x,x \ (((y \ z) * y) \ y),x) * K(x,z \ y) = K(x,x \ (z \ y)). [hyper(286,a,17930,a(flip),b,19721,a),flip(a)]. 19723 a(x,x \ ((y \ z) \ 1),x) * K(x,z \ y) = K(x,x \ (z \ y)). [para(19426(a,1),19722(a,1,1))]. 19724 K(x,(x \ (y \ 1)) * z) = K(x,x \ (y \ z)). [hyper(62,a,13911,a(flip),b,19723,a)]. 19726 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ ((y \ 1) \ 1)) * z). [hyper(286,a,16347,a,b,19724,a)]. 19727 K(x \ K(y \ (z * (u \ y)),w),y \ (z * (u \ y))) = K(x,(((y / T(u,z)) * z) / y) \ 1). [hyper(62,a,19572,a(flip),b,19478,a)]. 19728 K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(y \ (u * (z \ y))) \ 1). [hyper(15373,a,19727,a),flip(a)]. 19729 K(x,(((y / T(z,u)) * u) / y) \ 1) = K(x,(u * (z \ y)) \ y). [hyper(286,a,6717,a(flip),b,19728,a),flip(a)]. 19730 K(x,y / ((y / T(z,u)) * u)) = K(x,(u * (z \ y)) \ y). [hyper(7036,a,19729,a)]. 19731 K(x * (L(y,z,z \ 1) \ u),L(w,u,L(y,z,z \ 1))) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(14490,a,19512,a)]. 19732 K(T(x,y / z),T(y \ (((y / z) * u) * z),x \ (y / z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(7981,a,19561,a)]. 19733 K(x,y / (z / (T(u,w \ 1) * (K(w,v5 \ 1) * T(w \ 1,v5))))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(19713(a,1),18776(a,1,2,2,2))]. 19734 K(x * (L(y,z,z \ 1) \ u),L(w,u,y)) = K((x * (R(y,z,z \ 1) \ 1)) * u,w). [hyper(62,a,14343,a(flip),b,19731,a)]. 19736 K((x * (R(y,z,z \ 1) \ 1)) * u,w) = K((x * (((z * y) \ 1) * z)) * u,w). [hyper(62,a,18627,a(flip),b,19734,a),flip(a)]. 19737 K((x * (((y * z) \ 1) * y)) * u,w) = K((x * (y * ((z * y) \ 1))) * u,w). [para(6412(a,1),19736(a,1,1,1,2)),flip(a)]. 19738 K((T(x,((y * z) \ 1) * y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). [hyper(62,a,17631,a(flip),b,19737,a),flip(a)]. 19739 K(T(x,y / z),T(y \ (((y / z) * u) * z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(62,a,18954,a(flip),b,19732,a)]. 19740 K((T(x,(y * z) \ y) * (y * ((z * y) \ 1))) * u,w) = K(((((y * z) \ 1) * y) * x) * u,w). [para(13674(a,1),19738(a,1,1,1,1))]. 19741 K((T(x,y \ 1) * (z * ((y * z) \ 1))) * u,w) = K(((((z * y) \ 1) * z) * x) * u,w). [para(6753(a,1),19740(a,1,1,1,1))]. 19742 K(((((x * y) \ 1) * x) * z) * u,w) = K(((x * ((y * x) \ 1)) * z) * u,w). [hyper(62,a,18611,a(flip),b,19741,a),flip(a)]. 19744 K((((((x \ 1) * ((x \ 1) \ y)) \ 1) * (x \ 1)) * z) * u,w) = K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w). [para(10660(a,1),19742(a,2,1,1,1,2,1))]. 19745 K(x,T(T(y \ (((y / z) * u) * z),y / z),x * (y \ z))) = K(((x \ T(y / z,x)) * z) \ y,u). [hyper(8516,a,19739,a)]. 19746 K(x,T(R(T(y,z),u \ z,u),x * (z \ u))) = K(((x \ T(z / u,x)) * u) \ z,y). [para(10595(a,1),19745(a,1,2,1))]. 19747 K(x,R(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [para(27(a,2),19746(a,1,2))]. 19748 K(x,L(T(T(y,z),x * (z \ u)),u \ z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [hyper(14417,a,19747,a)]. 19749 K(x,L(T(T(y,z),x * (z \ u)),z,u)) = K(((x \ T(z / u,x)) * u) \ z,y). [hyper(18195,a,19748,a)]. 19750 K(((x \ T(y / z,x)) * z) \ y,u) = K(x,L(T(T(u,y),y \ z),y,z)). [hyper(62,a,9441,a(flip),b,19749,a),flip(a)]. 19751 K(x,L(T(T(y,z),z \ u),z,u)) = K((((z / u) / x) * u) \ z,y). [hyper(62,a,19441,a(flip),b,19750,a),flip(a)]. 19752 K(x,L(T(T(y,z),z \ u),z,u)) = K(x,z \ (((z / u) * y) * u)). [hyper(286,a,19559,a(flip),b,19751,a),flip(a)]. 19753 (x \ K(L(T(T(y,z),z \ u),z,u),w)) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [hyper(62,a,13580,a,b,19752,a)]. 19754 K(x,L(T(L(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * L(y,u,w)) * v5)). [para(25(a,2),19752(a,1,2,1,1))]. 19755 K(x,L(T(R(T(y,z),u,w),z \ v5),z,v5)) = K(x,z \ (((z / v5) * R(y,u,w)) * v5)). [para(27(a,2),19752(a,1,2,1,1))]. 19756 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (T(x,y) * K(z,T(T(u,x),x \ y))). [para(19752(a,1),11772(a,1,2))]. 19757 (x \ K(T(T(y,z),z \ u),L(w,z,u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [para(11780(a,1),19753(a,1,1,2))]. 19758 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * L(y,w,v5)) * u)). [para(25(a,2),19754(a,1,2,1))]. 19759 K(x,L(R(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). [para(27(a,2),19755(a,1,2,1))]. 19760 (x \ K(T(y,z),T(L(u,z,w),z \ w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). [para(7777(a,1),19757(a,1,1,2))]. 19761 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,L(z \ (((z / u) * y) * u),w,v5)). [para(7480(a,2),19758(a,2,2))]. 19762 K(x,L(L(T(T(y,z),z \ u),w,v5),z,u)) = K(x,z \ (((z / u) * R(y,w,v5)) * u)). [hyper(62,a,14448,a(flip),b,19759,a)]. 19763 (x \ K(T(y,z),L(T(u,z \ w),z,w))) \ (x \ 1) = K(u,z \ (((z / w) * y) * w)). [para(25(a,2),19760(a,1,1,2,2))]. 19764 K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). [hyper(62,a,19761,a(flip),b,19762,a)]. 19765 (x \ K(y,T(L(T(z,u \ w),u,w),u))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). [para(7777(a,1),19763(a,1,1,2))]. 19766 (x \ K(y,L(T(T(z,u),u \ w),u,w))) \ (x \ 1) = K(z,u \ (((u / w) * y) * w)). [para(111(a,2),19765(a,1,1,2,2))]. 19767 (x \ K(y,z \ (((z / u) * w) * u))) \ (x \ 1) = K(w,z \ (((z / u) * y) * u)). [para(19752(a,1),19766(a,1,1,2))]. 19768 K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). [hyper(13581,a,19767,a)]. 19769 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,x \ y)) * T(x,y)). [para(15275(a,1),19756(a,2,2))]. 19770 (x * y) * K(z,x \ (((x / y) * u) * y)) = y * (K(z,T(u,y * x)) * T(x,y)). [para(14952(a,1),19769(a,2,2,1))]. 19771 (x * y) * K(z,x \ (((x / y) * u) * y)) = (x * K(z,u)) * y. [hyper(286,a,18075,a(flip),b,19770,a),flip(a)]. 19772 K(x,y \ (((y / z) * (y \ u)) * z)) = K(x,(y * z) \ (u * z)). [hyper(33,a,14529,a,b,19771,a),flip(a)]. 19773 K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). [para(9(a,1),19772(a,1,2,2,1,2)),flip(a)]. 19774 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,y \ (((y / z) * R(u,w,v5)) * z)). [hyper(62,a,19702,a,b,19773,a)]. 19775 K(x,y \ (((y / z) * T(y \ u,w)) * z)) = K(x,T((y * z) \ (u * z),w)). [para(1331(a,1),19773(a,1,2)),flip(a)]. 19776 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(286,a,19764,a,b,19774,a),flip(a)]. 19777 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). [hyper(62,a,14605,a(flip),b,19776,a),flip(a)]. 19778 a(x,y,K(z \ (((z / y) * u) * y),z)) * K(x,z \ (((z / y) * u) * y)) = K(x,y \ (z \ ((z * u) * y))). [hyper(16844,a,19777,a)]. 19779 (x \ K(L(y \ (((y / z) * u) * z),z,y \ 1),w)) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). [hyper(62,a,13580,a,b,19777,a)]. 19780 x \ ((x * y) * K(z,x \ (((x / y) * u) * y))) = y * K(z,y \ (x \ ((x * u) * y))). [para(19777(a,1),14612(a,2,2))]. 19781 x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). [para(19771(a,1),19780(a,1,2)),flip(a)]. 19782 x * (K(y,x \ (z \ ((z * u) * x))) * K(w,v5)) = (z \ ((z * K(y,u)) * x)) * K(w,v5). [para(19781(a,1),17348(a,1,1)),flip(a)]. 19783 (x \ 1) * (K(y,x * (z \ ((z * u) * (x \ 1)))) * K(w,v5)) = (z \ ((z * K(y,u)) * (x \ 1))) * K(w,v5). [para(13500(a,1),19782(a,1,2,1))]. 19784 (x \ K(y \ (((y / z) * u) * z),L(w,z,y \ 1))) \ (x \ 1) = K(w,z \ (y \ ((y * u) * z))). [para(11780(a,1),19779(a,1,1,2))]. 19785 (x \ K(y,z \ (((z / u) * L(w,u,z \ 1)) * u))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). [para(19768(a,1),19784(a,1,1,2))]. 19786 (x \ K(y,L(z \ (((z / u) * w) * u),u,z \ 1))) \ (x \ 1) = K(w,u \ (z \ ((z * y) * u))). [para(7480(a,2),19785(a,1,1,2,2))]. 19787 (x \ K(y,z \ (u \ ((u * w) * z)))) \ (x \ 1) = K(w,z \ (u \ ((u * y) * z))). [para(19777(a,1),19786(a,1,1,2))]. 19788 K(x \ (y \ ((y * z) * x)),u) = K(z,x \ (y \ ((y * u) * x))). [hyper(13581,a,19787,a)]. 19789 K(x \ (y \ ((y * z) * x)),T(y \ L(y,u,w),v5)) = K(z,x \ (y \ (L(y,u,T(w,v5)) * x))). [para(18385(a,1),19788(a,2,2,2,2,1))]. 19790 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(y \ (z \ ((z * x) * y)),w)). [hyper(62,a,18702,a(flip),b,19789,a),flip(a)]. 19792 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,y \ (z \ ((z * w) * y)))). [para(19788(a,1),19790(a,2,3))]. 19793 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,y \ ((z * w) * y))). [hyper(14330,a,19792,a(flip)),flip(a)]. 19794 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,T(z * w,y))). [para(22(a,2),19793(a,2,3,2))]. 19795 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,z * w)). [hyper(286,a,18018,a(flip),b,19794,a),flip(a)]. 19797 K(x,y \ (z \ (L(z,u,T(w,v5)) * y))) = a(z,u,K(x,w)). [hyper(286,a,14301,a(flip),b,19795,a),flip(a)]. 19798 K(x * ((((y \ 1) * z) * u) * K(w,y)),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [hyper(62,a,17799,a(flip),b,19166,a)]. 19799 K(x * (((y \ 1) * z) * (u * K(w,y))),v5) = K(x * (((T(y,w) \ 1) * z) * u),v5). [hyper(17275,a,19798,a)]. 19801 K(x * ((T(y \ 1,z) * u) * w),v5) = K(x * (((T(y,z) \ 1) * u) * w),v5). [hyper(62,a,19135,a(flip),b,19799,a)]. 19802 (x * K(y * ((T(z \ 1,u) * w) * v5),v6)) \ x = K(v6,y * (((T(z,u) \ 1) * w) * v5)). [para(19801(a,2),6895(a,1,1,2))]. 19803 K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * (((T(z,u) \ 1) * w) * v5)). [hyper(15158,a,19802,a)]. 19805 K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(((u * x) \ w) * K(y,y * z),L(v5,w,u \ 1)). [hyper(62,a,17586,a(flip),b,19319,a),flip(a)]. 19806 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(T(z,u),y),L(v6,v5,w \ 1)). [hyper(62,a,17586,a(flip),b,19320,a),flip(a)]. 19807 K(x,y / (T(z,u \ w) / v5)) = K(x,y / (T(z,u * w) / v5)). [hyper(62,a,19454,a(flip),b,19450,a),flip(a)]. 19808 K(x \ (T(K(y * z,y) * u,K(y,z)) \ w),v5) = K(K(z,y) * ((u * x) \ w),L(v5,w,u \ 1)). [hyper(286,a,16015,a(flip),b,19805,a),flip(a)]. 19809 K(x \ ((y * K(z * u,z)) \ w),v5) = K(K(u,z) * ((y * x) \ w),L(v5,w,y \ 1)). [para(12047(a,1),19808(a,1,1,2,1))]. 19810 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(((w * x) \ v5) * K(z,y),L(v6,v5,w \ 1)). [hyper(286,a,15434,a(flip),b,19806,a),flip(a)]. 19812 K((x * K(y,K(z,u))) \ ((w * K(y,z)) \ v5),v6) = K(x \ (w \ (v5 * K(z,y))),v6). [hyper(286,a,19452,a(flip),b,19810,a),flip(a)]. 19813 K(x \ ((y * K(z,u)) \ w),v5) = K(x \ (y \ (w * K(u,z))),v5). [para(5795(a,1),19812(a,1,1,1))]. 19814 K(x \ ((y * K(z,u)) \ w),v5) = K((x \ (y \ w)) * K(u,z),v5). [hyper(286,a,19458,a(flip),b,19813,a),flip(a)]. 19815 K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K((u \ (z \ w)) * K(y,y * x),v5). [hyper(62,a,19809,a(flip),b,19814,a)]. 19816 K(K(x,y) * ((z * u) \ w),L(v5,w,z \ 1)) = K(K(x,y) * (u \ (z \ w)),v5). [hyper(286,a,16015,a(flip),b,19815,a),flip(a)]. 19817 K(x * (y \ K(K(z,u) * (w \ (v5 \ v6)),v7)),v8) = K(x * (y \ K(v7,K(z,u) * ((v5 * w) \ v6))),v8). [para(19816(a,1),17792(a,1,1,2,2))]. 19818 K(x * (y \ K(z,K(u,w) * ((v5 * v6) \ v7))),v8) = K(x * (y \ K(z,v6 \ (v5 \ v7))),v8). [hyper(62,a,18459,a(flip),b,19817,a),flip(a)]. 19820 K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w \ (u \ v5))),v6). [hyper(62,a,18457,a(flip),b,19818,a)]. 19821 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((K(z,y \ 1) * u) * (y \ 1)) \ w),v5). [para(2823(a,1),19510(a,1,1,2,1,1,1))]. 19822 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * ((K(z,y \ 1) * (u * (y \ 1))) \ w),v5). [para(7998(a,1),19821(a,2,1,2,1))]. 19823 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y \ 1,z)),v5). [hyper(286,a,19587,a(flip),b,19822,a),flip(a)]. 19824 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z \ 1)),v5). [para(6458(a,1),19823(a,2,1,2,2))]. 19825 K(x * (T((y \ K(z,y \ 1)) * u,y) \ w),v5) = K(x * (((u * (y \ 1)) \ w) * K(y,z)),v5). [hyper(286,a,16996,a(flip),b,19824,a),flip(a)]. 19826 K(x * (((y * (z \ 1)) \ u) * K(z,y)),w) = K(x * (T(y * (z \ 1),z) \ u),w). [para(4841(a,1),19825(a,1,1,2,1,1)),flip(a)]. 19827 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * ((T(y,z) * (z \ 1)) \ u),w). [hyper(62,a,19589,a(flip),b,19826,a),flip(a)]. 19828 K(x * (T(y * (z \ 1),z) \ u),w) = K(x * ((y * (T(z,y) \ 1)) \ u),w). [hyper(286,a,19664,a(flip),b,19827,a),flip(a)]. 19829 K(x * ((y * (T(z,y) \ 1)) \ u),w) = K(x * (((z \ 1) * y) \ u),w). [hyper(62,a,19505,a(flip),b,19828,a),flip(a)]. 19830 K(x * ((((y / ((z \ 1) \ 1)) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(8573(a,2),19829(a,2,1,2,1))]. 19831 K(x,(y \ T(K(z \ u,z) * (w * z),K(z \ u,z) * w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [para(7998(a,1),19616(a,1,2,1,2,1))]. 19832 x \ ((x * K(y,z)) * (K(u,T(w,K(z,y) * v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [para(18874(a,1),19630(a,1,2,2,1,2))]. 19833 x \ ((x * K(y,z)) * (K(u,T(w,v5)) * v5)) = (x \ ((x * K(y,z)) * v5)) * K(u,w). [para(15737(a,1),19832(a,1,2,2,1))]. 19835 x \ ((x * K(y,z)) * (u * K(w,v5))) = (x \ ((x * K(y,z)) * u)) * K(w,v5). [para(8146(a,1),19833(a,1,2,2))]. 19837 (x \ ((x * K(y,z)) * (u \ 1))) * K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). [para(13512(a,1),19835(a,1,2,2)),flip(a)]. 19838 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * ((T(z,u) \ 1) * T(w,T(z \ 1,u)))). [hyper(286,a,19140,a(flip),b,19650,a),flip(a)]. 19839 K(x,y * (T(T(z \ 1,u),w) * w)) = K(x,y * (w * (T(z,u) \ 1))). [para(8646(a,1),19838(a,2,2,2))]. 19840 K(x,y * (z * T(u \ 1,w))) = K(x,y * (z * (T(u,w) \ 1))). [hyper(62,a,14830,a(flip),b,19839,a)]. 19841 K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,(w \ 1) * (y * T(z \ 1,u))). [hyper(13567,a,19840,a(flip))]. 19842 K(x,((y * (T(z,u) \ 1)) \ w) \ 1) = K(x,w \ (y * T(z \ 1,u))). [hyper(286,a,13501,a(flip),b,19841,a),flip(a)]. 19843 K(x,y \ (z * T(u \ 1,w))) = K(x,y \ (z * (T(u,w) \ 1))). [hyper(6979,a,19842,a),flip(a)]. 19844 T(x \ K(x \ ((y \ 1) \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). [para(4893(a,1),19726(a,2,2,1,2))]. 19845 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,T(y * z,x)) = K(x,(x \ y) * z). [para(13532(a,1),19844(a,1,1,1,2))]. 19846 T(x \ K(y * (x \ z),x),y * z) \ T(x \ 1,y * z) = K(x,(x \ y) * z). [para(7617(a,1),19845(a,1,2))]. 19847 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(62,a,16352,a(flip),b,19846,a),flip(a)]. 19849 K(x \ K(y,z * (y \ u)),(y \ z) * u) != w | K(x,((y \ z) * u) \ 1) = w. [para(19847(a,1),9024(a,1,1,2))]. 19850 (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = (w \ ((w * K(u,v5)) * (x \ 1))) * K(y,z). [hyper(62,a,17413,a(flip),b,19783,a)]. 19851 (x \ K(y,z)) * K(u,x * (w \ ((w * v5) * (x \ 1)))) = w \ ((w * K(u,v5)) * (x \ K(y,z))). [hyper(286,a,19837,a(flip),b,19850,a),flip(a)]. 19852 K(x,(y \ T(K(z \ u,z) * (w * z),w)) * v5) = K(x,(y \ ((u / (u / z)) * w)) * v5). [hyper(62,a,17775,a(flip),b,19831,a)]. 19854 K(x \ y,L(T(z,u \ 1),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(15340,a,19257,a)]. 19857 K(x \ y,L(T(z,u),x,x \ (u \ 1))) = K(((((T(u,w) \ 1) / x) * y) / (u \ 1)) * K(u,w),z). [hyper(62,a,8608,a(flip),b,19854,a)]. 19858 K(((((T(x,y) \ 1) / z) * u) / (x \ 1)) * K(x,y),w) = K((((x \ 1) / z) * u) * x,w). [hyper(13761,a,19857,a),flip(a)]. 19859 K((((T(x,y) \ 1) / z) * u) / (T(x,y) \ 1),w) = K((((x \ 1) / z) * u) * x,w). [hyper(62,a,17388,a(flip),b,19858,a)]. 19860 K((((T(x,y) \ 1) / z) * u) * T(x,y),w) = K((((x \ 1) / z) * u) * x,w). [hyper(13647,a,19859,a)]. 19861 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K((((u \ 1) / x) * y) * u,z). [hyper(62,a,19699,a,b,19860,a)]. 19862 K((a(x,y,x) \ z) \ u,L(T(w,v5),a(x,y,x) \ z,v5 \ ((a(x,y,x) \ z) \ 1))) = K(((((v5 \ 1) / z) * a(x,y,x)) * u) * v5,w). [para(13059(a,1),19861(a,2,1,1,1))]. 19863 K((x * (y * T(z,K(u,w)))) * (v5 * K(v6,L(v7,z,y))),v8) = K((x * (y * T(z * K(v7,v6),K(u,w)))) * v5,v8). [para(11780(a,1),19536(a,1,1,2,2))]. 19864 a(x,y,K(z,u \ (((u / y) * u) * y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(19768(a,1),19778(a,1,1,3))]. 19865 K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * T(z,K(v5,v6)))) * (v7 * K(u,w)),v8). [hyper(62,a,17799,a(flip),b,19863,a),flip(a)]. 19867 K((x * (y * T(z * K(u,w),K(v5,v6)))) * v7,v8) = K((x * (y * z)) * (v7 * K(u,w)),v8). [hyper(286,a,16796,a(flip),b,19865,a),flip(a)]. 19868 K((x * (y * (z * K(u,w)))) * v5,v6) = K((x * (y * z)) * (v5 * K(u,w)),v6). [hyper(17912,a,19867,a)]. 19870 K((x * (y * z)) * (u * K(z,w)),v5) = K((x * (y * T(z,w))) * u,v5). [para(4659(a,2),19868(a,1,1,1,2,2)),flip(a)]. 19871 K((x * K(y,z)) * (u * (w * y)),v5) = K((u * (w * T(y,z))) * x,T(v5,x * K(v6,v7))). [hyper(15788,a,19870,a)]. 19872 K((x * (y * z)) * T(u * K(z,w),v5),v6) = K((x * (y * T(z,w))) * T(u,v5),v6). [hyper(62,a,17005,a,b,19870,a)]. 19873 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K((w * K(z,u)) * (x * (y * z)),v5). [para(108(a,1),19872(a,1,1)),flip(a)]. 19874 K((x * (y * T(z,u))) * w,T(v5,w * K(v6,v7))) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(62,a,16980,a(flip),b,19871,a),flip(a)]. 19875 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(286,a,16980,a(flip),b,19873,a),flip(a)]. 19876 K((x * (y * T(z,u))) * w,T(v5,w)) = K(w * (K(z,u) * (x * (y * z))),v5). [hyper(15779,a,19874,a)]. 19877 K(x * (K(y,z) * (u * (w * y))),v5) = K(x * (u * (w * T(y,z))),v5). [hyper(12102,a,19876,a),flip(a)]. 19878 K((x * (y * T(z,u))) * T(w,x * (y * z)),v5) = K(w * (x * (y * T(z,u))),v5). [hyper(286,a,19877,a(flip),b,19875,a),flip(a)]. 19879 K(K(x,y) * (z * (u * (w * y))),v5) = K(z * (u * (w * T(y,x))),v5). [hyper(62,a,17915,a(flip),b,19878,a)]. 19880 K(x * (y * (z * ((u \ w) * u))),v5) = K(x * (y * (z * T(w,u))),v5). [hyper(62,a,17854,a(flip),b,19879,a)]. 19881 K(x * (T(y,z * u) * (z * T(u,w))),v5) = K(x * ((z * ((w \ u) * w)) * y),v5). [hyper(17931,a,19880,a),flip(a)]. 19882 K(x * ((y * ((z \ u) * z)) * w),v5) = K(x * ((y * T(u,z)) * w),v5). [hyper(17927,a,19881,a),flip(a)]. 19883 K(x * ((T(y,z) * T(z,u)) * w),v5) = K(x * ((((u \ z) * u) * y) * w),v5). [hyper(17996,a,19882,a),flip(a)]. 19884 K(x * ((((y \ z) * y) * u) * w),v5) = K(x * ((T(z,y) * u) * w),v5). [hyper(17995,a,19883,a),flip(a)]. 19885 K(x * ((T(y,z) * u) * w),v5) * K(x,K((T(y,z) * u) * w,v5)) = K(((((z \ y) * z) * u) * w) * x,v5). [para(19884(a,1),17659(a,1,1))]. 19886 K(((((x \ y) * x) * z) * u) * w,v5) = K(((T(y,x) * z) * u) * w,v5). [hyper(62,a,16220,a(flip),b,19885,a),flip(a)]. 19888 K(x,K(((T(y,z) * u) * w) * v5,w * (y * u))) = K(x,K((((z \ y) * z) * u) * w,v5)). [para(19886(a,1),17806(a,1,2))]. 19889 K(x,K((((y \ z) * y) * u) * w,v5)) = K(x,K(w * (z * u),((T(z,y) * u) * w) * v5)). [hyper(8109,a,19888,a),flip(a)]. 19890 K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K((T(z,w) * u) * y,v5)). [para(17657(a,1),19889(a,1,2)),flip(a)]. 19891 K(x,K(y * (z * u),((T(z,w) * u) * y) * v5)) = K(x,K(v5,y * (z * u))). [hyper(286,a,15912,a(flip),b,19890,a),flip(a)]. 19893 K(x,K(y * (z * u),(T(z,w) * u) * (y * v5))) = K(x,K(v5,y * (z * u))). [hyper(62,a,18986,a(flip),b,19891,a)]. 19894 K(x,K(y * (z * u),T(z,w) * (u * (y * v5)))) = K(x,K(v5,y * (z * u))). [hyper(62,a,18986,a(flip),b,19893,a)]. 19895 K(x,K(y * (z * u),z * (u * (y * w)))) = K(x,K(w,y * (z * u))). [hyper(15872,a,19894,a)]. 19896 a(x,y,K(z,T(u,y))) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(19685(a,1),19864(a,1,1,3))]. 19897 a(x,y,K(z,u)) * K(x,u \ (((u / y) * z) * y)) = K(x,y \ (u \ ((u * z) * y))). [para(18018(a,1),19896(a,1,1))]. 19898 a(x,y,K(z \ u,z)) * K(x,z \ (((z / y) * (z \ u)) * y)) = K(x,y \ (z \ (u * y))). [para(10(a,1),19897(a,2,2,2,2,1))]. 19900 a(x,y,K(T(z \ L(z,u,w),v5),z)) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(18385(a,1),19897(a,2,2,2,2,1))]. 19901 a(x,y,K(z,u)) * K(x,u \ (((u / y) * (u \ z)) * y)) = K(x,y \ (u \ (z * y))). [para(11984(a,1),19898(a,1,1))]. 19902 a(x,y,K(z,u)) * K(x,(u * y) \ (z * y)) = K(x,y \ (u \ (z * y))). [para(19772(a,1),19901(a,1,2))]. 19903 a(x,T(y,z) \ u,K(w,v5)) * K(x,(v5 * (T(y,z) \ u)) \ (w * (T(y,z) \ u))) = K(x,K(y,z) * ((y \ u) \ (v5 \ (w * (T(y,z) \ u))))). [hyper(286,a,18839,a,b,19902,a),flip(a)]. 19904 a(x,y \ 1,K(z,u)) * K(x,(u * (y \ 1)) \ (z * (y \ 1))) = K(x,y * (u \ (z * (y \ 1)))). [hyper(286,a,13500,a(flip),b,19902,a),flip(a)]. 19905 a(x,y,K(z,u)) * K(z,(u * (y \ 1)) \ (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). [para(14474(a,1),19904(a,1,1))]. 19906 a(x,y,K(z,u)) * K(z,(y * (u \ 1)) * (x * (y \ 1))) = K(z,y * (u \ (x * (y \ 1)))). [para(13555(a,1),19905(a,1,2))]. 19907 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (z * L(T(y,z),u,u \ 1)),w). [para(434(a,1),19183(a,2,1))]. 19908 K((x * (y * z)) * a((x * z) \ (x * (y * z)),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(214(a,1),19907(a,2,1,2))]. 19909 K((x * (y * z)) * a(L(T(y,z),z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(210(a,1),19908(a,1,1,2,1))]. 19910 K((x * (y * z)) * a(L(y,z,x),u,u \ 1),w) = K(x * (L(y,u,u \ 1) * z),w). [para(14630(a,1),19909(a,1,1,2))]. 19911 K(((x * y) * z) * a(L(x,y,T(z,x * y)),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). [hyper(62,a,17631,a(flip),b,19910,a)]. 19912 K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) = (v5 * K(y * (L(z,w,w \ 1) * u),x)) \ v5. [para(19910(a,1),6895(a,1,1,2)),flip(a)]. 19915 K(x,(y * (z * u)) * a(L(z,u,y),w,w \ 1)) != v5 | K(x,y * (L(z,w,w \ 1) * u)) = v5. [para(19912(a,2),6902(a,1))]. 19916 K(((x * y) * z) * a(L(x,y,z),u,u \ 1),w) = K(T(z,x * y) * (L(x,u,u \ 1) * y),w). [para(18148(a,1),19911(a,1,1,2))]. 19917 K(T(x,y * z) * (L(y,u \ 1,(u \ 1) \ 1) * z),w) = K(((y * z) * x) * a(L(y,z,x),u \ 1,u),w). [para(3513(a,1),19916(a,1,1,2)),flip(a)]. 19919 K(((x * y) * z) * a(L(x,y,z),u \ 1,u),w) = K(T(z,x * y) * (L(x,u \ 1,u) * y),w). [para(3011(a,1),19917(a,1,1,2,1)),flip(a)]. 19920 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * (T(u,y * z) * (L(y,w \ 1,w) * z))))). [para(19919(a,2),12710(a,2,2)),flip(a)]. 19921 a(x / y,y,K(z,u)) * ((x / y) * ((y * K(u,z)) * K(z,u))) = K(z,u) * (y * ((K(z,u) * y) \ x)). [para(10260(a,1),19315(a,1,1))]. 19923 a(x \ y,x,K(z,u)) * ((y / x) * ((x * K(u,z)) * K(z,u))) = K(z,u) * (x * ((K(z,u) * x) \ y)). [para(18036(a,2),19921(a,1,1))]. 19924 K(x,y) * (z * ((K(x,y) * z) \ u)) = a(z \ u,z,K(x,y)) * ((u / z) * z). [para(6883(a,1),19923(a,1,2,2)),flip(a)]. 19925 K(x,y) * (z * ((K(x,y) * z) \ u)) = a(z \ u,z,K(x,y)) * u. [para(12(a,1),19924(a,2,2))]. 19926 K(x,y) * (z * ((K(x,y) * z) \ u)) = u * a(x,z,K(u \ z,y)). [hyper(16843,a,19925,a(flip)),flip(a)]. 19927 L(x \ R(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). [para(19926(a,1),14455(a,2,3)),flip(a)]. 19928 K(x,L(y \ (z * (u \ K(w,v5))),y,(K(v5,w) * u) * (z \ 1))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [para(251(a,1),19387(a,1,2,1))]. 19929 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ (K(v5,w) * u))) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [hyper(62,a,18043,a(flip),b,19928,a)]. 19930 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,1 / ((1 / (z * (u \ K(w,v5)))) * y)). [hyper(62,a,19208,a(flip),b,19929,a)]. 19931 K(x,L(y \ (z * (u \ K(w,v5))),y,z \ u)) = K(x,y \ (z * (u \ K(w,v5)))). [hyper(286,a,13733,a(flip),b,19930,a),flip(a)]. 19933 K(x,((y * (z \ 1)) \ u) \ K(w,L(v5,z,y \ 1))) = K(x,u \ (y * (z \ K(w,v5)))). [hyper(62,a,18822,a(flip),b,19931,a)]. 19934 K(x,((y * (z \ 1)) \ u) \ K(w,v5)) = K(x,u \ (y * (z \ K(w,v5)))). [hyper(17279,a,19933,a)]. 19935 L(x,y,K(z,u)) * ((K(w,v5) * y) * K(z,T(u,y))) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(15741(a,1),19407(a,1,2,2))]. 19938 L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,K(w,v5) * y)). [para(16767(a,1),19935(a,1,2))]. 19939 L(x,y,K(z,u)) * (K(w,v5) * (K(z,u) * y)) = (x * (K(w,v5) * y)) * K(z,T(u,y)). [para(15737(a,1),19938(a,2,2))]. 19941 K(x,L((y * z) \ ((y * u) * z),(y * u) * z,y \ 1)) = K(x,z \ (T(y,w) \ ((T(y,w) * u) * z))). [hyper(62,a,19687,a(flip),b,19409,a)]. 19942 K(x,y \ (T(z,u) \ ((T(z,u) * w) * y))) != v5 | K(x,y \ (z \ ((z * w) * y))) = v5. [para(19941(a,1),18443(a,1))]. 19943 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = (x * 1) * a(x,y \ 1,y). [para(65(a,1),19421(a,1,1,2)),flip(a)]. 19944 (x * L(y \ 1,z,K(u,w))) * L(y,z,K(u,w)) = R(x,y \ 1,y). [hyper(286,a,6336,a(flip),b,19943,a),flip(a)]. 19946 R(x,L(y \ 1,z,K(u,w)),L(y,z,K(u,w))) = R(x,y \ 1,y). [hyper(62,a,18710,a(flip),b,19944,a)]. 19948 (K(x,y) / (z * u)) * L(z,u,K(y,x)) = R(K(x,y) / u,z \ 1,z). [hyper(62,a,18816,a(flip),b,19946,a)]. 19950 R(K(x,y) / z,u \ 1,u) = K(x,y) / L(z,u,u \ 1). [hyper(62,a,18511,a(flip),b,19948,a),flip(a)]. 19951 R(K(x,T(y,z)) / z,u \ 1,u) = L(z,u,u \ 1) \ K(x,y). [hyper(16721,a,19950,a(flip)),flip(a)]. 19952 R(x \ K(y,z),u \ 1,u) = L(x,u,u \ 1) \ K(y,z). [para(12179(a,1),19951(a,1,1))]. 19953 L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,(u \ 1) \ 1) \ K(y,z). [hyper(62,a,6671,a(flip),b,19952,a)]. 19954 ((((x \ 1) \ 1) * (x \ 1)) \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). [para(6396(a,2),19952(a,2,1)),flip(a)]. 19955 L((x \ K(y,z)) \ 1,u \ 1,u) \ 1 = L(x,u \ 1,u) \ K(y,z). [para(3011(a,1),19953(a,2,1))]. 19956 L(K(x,y) * z,u \ 1,u) \ 1 = L(z,u \ 1,u) \ K(y,x). [para(13620(a,1),19955(a,1,1,1))]. 19957 R((K(x,y) * z) \ 1,u,u \ 1) = L(z,u \ 1,u) \ K(y,x). [hyper(7188,a,19956,a)]. 19958 R(x \ K(y,z),u,u \ 1) = L(x,u \ 1,u) \ K(y,z). [para(13570(a,1),19957(a,1,1))]. 19959 x * R(x \ K(y,z),u,u \ 1) = a(u,u \ 1,x) * K(y,z). [para(19958(a,2),14645(a,1,2))]. 19960 (K(x,y) * z) \ (z * (a(u,u \ 1,w) * K(x,T(y,z)))) = a(u,u \ 1,z \ ((K(y,x) * z) * w)). [para(19959(a,1),18896(a,1,2,2))]. 19961 x \ ((K(y,z) * x) * (a(u,u \ 1,w) * K(z,T(y,x)))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [hyper(62,a,18866,a(flip),b,19960,a)]. 19962 x \ ((x * K(y,z)) * (a(u,u \ 1,w) * K(z,y))) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [para(15714(a,1),19961(a,1,2))]. 19963 (x \ ((x * K(y,z)) * a(u,u \ 1,w))) * K(z,y) = a(u,u \ 1,x \ ((K(y,z) * x) * w)). [hyper(62,a,19835,a(flip),b,19962,a)]. 19964 L(T(a(x,x \ 1,y),K(z,u)),K(z,u),w) = a(x,x \ 1,w \ ((K(u,z) * w) * y)). [hyper(62,a,19636,a(flip),b,19963,a)]. 19965 a(x,x \ 1,y \ ((K(z,u) * y) * w)) = L(a(x,x \ 1,w),K(u,z),y). [para(10761(a,1),19964(a,1,1)),flip(a)]. 19966 a(x,x \ 1,y \ ((K(z,u) * y) * w)) = a(x,x \ 1,L(w,K(u,z),y)). [hyper(286,a,11253,a,b,19965,a),flip(a)]. 19968 K(x,K(y,z * ((u \ w) * K(v5,v6)))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(8060(a,2),19465(a,1,1))]. 19969 K(x,(T(y,z) * ((u \ 1) \ K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(8076(a,1),19693(a,1,2,1,2,2))]. 19970 K(x,K(y,z * (u \ w))) * K(y,(z * (u \ (w * K(v5,v6)))) * x) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(15809(a,1),19968(a,1,1))]. 19972 K(x,K(y,z * (u \ w))) * K(y,K(v5,v6) * ((z * (u \ w)) * x)) = K(y,x * (z * (u \ (w * K(v5,v6))))). [para(19666(a,1),19970(a,1,2))]. 19973 K(x,y * ((z * (u \ w)) * K(v5,v6))) = K(x,y * (z * (u \ (w * K(v6,v5))))). [hyper(62,a,17151,a(flip),b,19972,a)]. 19974 K(x,y * (z * (u \ (w * K(v5,v6))))) = K(x,y * (z * ((u \ w) * K(v6,v5)))). [hyper(17286,a,19973,a),flip(a)]. 19975 K(x,y * (z * ((u \ w) * K(v5,w)))) = K(x,y * (z * (u \ T(w,v5)))). [para(4659(a,2),19974(a,1,2,2,2,2)),flip(a)]. 19976 K(x,y * (K(z,u) * (w * (v5 \ u)))) = K(x,y * (w * (v5 \ T(u,z)))). [hyper(17290,a,19975,a)]. 19977 K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ T(w * v5,w)))). [para(18390(a,1),19975(a,1,2,2,2))]. 19978 K(x,y * (z * (u \ (w * (v5 / w))))) = K(x,y * (z * (u \ T(v5,w)))). [hyper(62,a,18603,a(flip),b,19976,a)]. 19979 K(x,y * (z * (u \ (w * ((L(w,v5,w) * v5) / w))))) = K(x,y * (z * (u \ (v5 * w)))). [para(4024(a,1),19978(a,2,2,2,2,2))]. 19980 K(x,y * (z * (u \ (w * ((w * v5) / R(w,v5,w)))))) = K(x,y * (z * (u \ (v5 * w)))). [para(18256(a,1),19979(a,1,2,2,2,2,2))]. 19981 K(x,y * (z * (u \ (w * (v5 * K(w,w * v5)))))) = K(x,y * (z * (u \ (v5 * w)))). [para(7105(a,1),19980(a,1,2,2,2,2,2))]. 19982 K(x,y * (z * (u \ (T(w,v5 * w) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). [para(12067(a,1),19981(a,1,2,2,2,2))]. 19983 K(x,y * (z * (u \ (T(w,w * v5) * v5)))) = K(x,y * (z * (u \ (v5 * w)))). [para(3989(a,1),19982(a,1,2,2,2,2,1))]. 19984 K(x,y * (z * (u \ T(w * v5,w)))) = K(x,y * (z * (u \ (v5 * w)))). [hyper(62,a,19977,a(flip),b,19983,a)]. 19985 K(x,y * (T(z,u \ (w * v5)) * (u \ (w * v5)))) = K(x,y * ((u \ T(v5 * w,v5)) * z)). [hyper(62,a,14831,a(flip),b,19984,a),flip(a)]. 19986 K(x,y * ((z \ T(u * w,u)) * v5)) = K(x,y * ((z \ (w * u)) * v5)). [hyper(62,a,14830,a(flip),b,19985,a),flip(a)]. 19987 K(x,(T(y,z) * (u * K(w,K(v5,v6)))) * (v7 * T(y \ 1,z))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(13487(a,1),19969(a,1,2,1,2))]. 19988 K(x,(T(y,z) * u) * (K(w,K(v5,v6)) * (v7 * T(y \ 1,z)))) = K(x,((y * u) \ K(w,K(v5,v6))) \ (v7 * (y \ 1))). [para(16831(a,1),19987(a,1,2))]. 19989 K(x,((y * z) \ K(u,K(w,v5))) \ (v6 * (y \ 1))) = K(x,(T(y,v7) * z) * (v6 * T(y \ 1,v7))). [hyper(16816,a,19988,a),flip(a)]. 19991 K(x,K(y,K(z,u)) * ((w * v5) * (v6 * (w \ 1)))) = K(x,(T(w,v7) * v5) * (v6 * T(w \ 1,v7))). [hyper(62,a,18340,a(flip),b,19989,a)]. 19992 K(x,(T(y,z) * u) * (w * T(y \ 1,z))) = K(x,(y * u) * (w * (y \ 1))). [hyper(15391,a,19991,a),flip(a)]. 19993 (1 \ (((x \ 1) \ 1) * ((y * x) \ 1))) \ K(z,u) = R((y \ 1) \ K(z,u),(x \ 1) \ 1,x \ 1). [para(4888(a,1),19954(a,1,1,1))]. 19995 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (1 \ (u * ((x * u) \ 1))) \ K(y,z). [para(4893(a,1),19993(a,1,1,2,1)),flip(a)]. 19996 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = (u * ((x * u) \ 1)) \ K(y,z). [para(64(a,1),19995(a,2,1))]. 19997 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = ((x * u) * (u \ 1)) * K(y,z). [hyper(286,a,13513,a(flip),b,19996,a),flip(a)]. 19998 R((x \ 1) \ K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). [para(458(a,1),19997(a,2,1))]. 19999 R(x * K(y,z),(u \ 1) \ 1,u \ 1) = R(x,u,u \ 1) * K(y,z). [para(13487(a,1),19998(a,1,1))]. 20000 R(x * K(y,z),u,u \ 1) = R(x,u,u \ 1) * K(y,z). [hyper(62,a,6685,a(flip),b,19999,a)]. 20001 (K(x,y) * z) \ T(R(z * K(x,y),u,u \ 1),z) = a(z,u,u \ 1). [para(20000(a,2),18147(a,1,2,1))]. 20002 (K(x,y) * z) \ R(T(z * K(x,y),z),u,u \ 1) = a(z,u,u \ 1). [para(27(a,2),20001(a,1,2))]. 20003 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(15664(a,1),20002(a,1,2,1))]. 20004 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(720,a,20003,a)]. 20005 a(x \ T(y,z),u,u \ 1) = a(x \ y,u,u \ 1). [hyper(62,a,17940,a(flip),b,20004,a)]. 20006 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(62,a,17938,a(flip),b,20004,a)]. 20007 a(T(x,y) \ z,u,u \ 1) = a(x \ z,u,u \ 1). [para(5715(a,1),20004(a,1,1)),flip(a)]. 20008 a(L(K(x,y) * z,y,x),u,u \ 1) = a(L(z,y,x),u,u \ 1). [para(11437(a,2),20004(a,1,1))]. 20009 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(14613(a,1),20006(a,1,1))]. 20010 a(x \ ((K(y,z) * u) * T(w,u)),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). [para(16893(a,1),20005(a,1,1,2))]. 20011 (T(x,y) / y) * a(y \ x,z,z \ 1) = R(x / T(y,x),z,z \ 1). [para(20007(a,1),14634(a,1,2))]. 20012 a(x \ (y * T(z,u)),w,w \ 1) = a(x \ (y * z),w,w \ 1). [para(1271(a,1),20009(a,1,1,2))]. 20013 a(x \ (y * (z * K(u,w))),v5,v5 \ 1) = a(x \ (y * z),v5,v5 \ 1). [para(11753(a,1),20009(a,1,1,2))]. 20015 a(((((K(x,y) \ 1) * z) * u) / w) \ 1,v5,v5 \ 1) = a((w \ 1) \ ((u \ 1) * (z \ 1)),v5,v5 \ 1). [para(6502(a,1),20013(a,1,1))]. 20016 a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * (u * K(y,z))),v5,v5 \ 1). [hyper(62,a,20012,a(flip),b,20010,a)]. 20017 a(x \ ((K(y,z) * u) * w),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(286,a,20013,a(flip),b,20016,a),flip(a)]. 20020 a((x * y) \ (y * (x * z)),u,u \ 1) = a(R(z,x,y),u,u \ 1). [hyper(62,a,14659,a(flip),b,20017,a),flip(a)]. 20023 a(L(K(x,y) * z,y,x),u,u \ 1) = a(R(z,y,x),u,u \ 1). [para(11424(a,1),20020(a,1,1))]. 20024 a(R(x,y,z),u,u \ 1) = a(L(x,y,z),u,u \ 1). [hyper(62,a,20008,a(flip),b,20023,a),flip(a)]. 20025 a(L(x,y,z),u \ 1,(u \ 1) \ 1) = a(R(x,y,z),u \ 1,u). [hyper(12414,a,20024,a),flip(a)]. 20026 a(R(x,y,z),u \ 1,u) = a(L(x,y,z),u \ 1,u). [hyper(12414,a,20025,a),flip(a)]. 20027 a(L(x,y \ 1,z \ 1),u \ 1,u) = a(u \ 1,u,L(x \ 1,y,z)). [hyper(12418,a,20026,a),flip(a)]. 20028 a(x \ 1,x,R(y \ 1,z,u)) = a(x \ 1,x,L(y \ 1,z,u)). [hyper(12419,a,20027,a)]. 20029 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = a(y \ 1,y,L(x \ 1,z,u)). [hyper(62,a,12445,a,b,20028,a)]. 20030 R((L(((x \ 1) \ 1) \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [hyper(286,a,11257,a(flip),b,20029,a),flip(a)]. 20031 R((L(x \ 1,y,y \ 1) * x) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(4893(a,1),20030(a,1,1,1,1,1,1))]. 20032 R((x * L(x \ 1,y,y \ 1)) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(4910(a,1),20031(a,1,1,1))]. 20033 R((a(x,y \ 1,y) \ 1) \ 1,z,u) = L(a(x,y \ 1,y),z,u). [para(12340(a,1),20032(a,1,1,1))]. 20034 R(a(x,y \ 1,y),z,u) = L(a(x,y \ 1,y),z,u). [para(4893(a,1),20033(a,1,1))]. 20035 L(a(x,(y \ 1) \ 1,y \ 1),z,u) = R(a(x,y,y \ 1),z,u). [para(4893(a,1),20034(a,1,1,2)),flip(a)]. 20036 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [para(4893(a,1),20035(a,1,1,2)),flip(a)]. 20037 (x * y) * L(a(z,u,u \ 1),x,y) = (x * a(z,u,u \ 1)) * y. [para(20036(a,1),12310(a,1,2))]. 20038 L(a(x,y,y \ 1),z,u) * (z * u) = (z * a(x,y,y \ 1)) * u. [hyper(10765,a,20037,a)]. 20039 ((x * (y * a(z,u,u \ 1))) / y) \ ((y * a(z,u,u \ 1)) * x) = T(y,x). [para(20038(a,1),10773(a,1,2))]. 20040 x * K(x * a(y,z,z \ 1),u) = T(x,u). [hyper(13891,a,20039,a)]. 20041 K(x,y * a(z,u,u \ 1)) = T(y,x) \ y. [para(20040(a,1),6895(a,1,1)),flip(a)]. 20042 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(286,a,4603,a,b,20041,a),flip(a)]. 20043 K(x,y * (L(z,u,u \ 1) * w)) = K(x,y * (z * w)). [hyper(19915,a,20042,a)]. 20044 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(16674,a,20042,a)]. 20045 K(x,y * a(z \ 1,z,u)) = K(x,y). [para(14697(a,1),20042(a,1,2,2))]. 20046 K(x,a(y,z,z \ 1) \ u) = K(x,u). [para(10(a,1),20044(a,1,2)),flip(a)]. 20047 K(x,a(y,z,z \ 1) \ u) = K(x,u * a(w \ 1,w,v5)). [hyper(286,a,20045,a,b,20046,a),flip(a)]. 20048 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(62,a,19527,a(flip),b,20046,a)]. 20050 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z / T(y,z)) \ w). [hyper(286,a,18326,a,b,20048,a),flip(a)]. 20051 K(x,(y * (z \ 1)) * u) = K(x,(z / y) \ u). [hyper(62,a,19521,a(flip),b,20048,a)]. 20052 K(x,y \ (T(z \ 1,u) * w)) = K(x,y \ (T(z,u) \ w)). [hyper(62,a,18834,a(flip),b,20048,a),flip(a)]. 20053 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(62,a,18537,a(flip),b,20048,a),flip(a)]. 20056 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [para(4914(a,1),20048(a,1,2,1))]. 20057 K(x,y / L(z / u,w,w \ 1)) = K(x,(z / u) \ y) * K(x,K(y,u * z)). [para(20048(a,1),18901(a,1,1)),flip(a)]. 20059 K(x,a(y,y \ 1,(y \ 1) \ z) \ ((y * z) \ u)) = K(x,((z \ 1) / y) * u). [hyper(19103,a,20053,a),flip(a)]. 20061 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [hyper(62,a,6207,a(flip),b,20053,a),flip(a)]. 20063 K(x,((y \ 1) * z) * u) = K(x,(z \ y) \ u). [hyper(13752,a,20056,a)]. 20066 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5 \ 1,v5,v6)). [hyper(17719,a,20047,a)]. 20069 K(x,y * T(z \ L(z,u \ 1,u),w)) = K(x,y * a(v5,v6 \ 1,v6)). [para(6528(a,1),20066(a,2,2,2))]. 20070 K(x,y * a(z,u \ 1,u)) = K(x,y * (w \ L(w,v5 \ 1,v5))). [hyper(17285,a,20069,a),flip(a)]. 20071 K(x,a(y,y \ 1,z) \ u) = K(x,u * a(w,v5 \ 1,v5)). [hyper(286,a,16927,a(flip),b,20070,a)]. 20074 K(x,((y * z) \ u) * a(w,v5 \ 1,v5)) = K(x,((z \ 1) / y) * u). [hyper(62,a,20071,a(flip),b,20059,a)]. 20075 K(x,((y \ 1) / z) * u) = K(x,(z * y) \ u). [hyper(17282,a,20074,a),flip(a)]. 20077 K(x,((y \ 1) / z) * u) != w | K(x,(z * y) \ u) = w. [para(20074(a,1),13114(a,1))]. 20078 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(4893(a,1),20075(a,1,2,1,1)),flip(a)]. 20079 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(13751,a,20078,a)]. 20081 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(62,a,20051,a(flip),b,20079,a)]. 20082 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(T(y,z) / z) * w). [hyper(62,a,20050,a,b,20081,a)]. 20084 K(x,y / L(z / u,w,w \ 1)) = K(x,(u / z) * y) * K(x,K(y,u * z)). [para(20081(a,1),20057(a,2,1))]. 20085 K(x,L(y \ z,u,u \ 1) \ w) = K(x,(z \ y) * w). [hyper(286,a,17127,a(flip),b,20082,a),flip(a)]. 20086 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(62,a,20048,a(flip),b,20085,a)]. 20087 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [para(4914(a,1),20085(a,1,2,1))]. 20088 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(y \ z) * u). [hyper(62,a,18239,a,b,20086,a)]. 20089 K(x,(((y \ 1) * z) * u) \ w) = K(x,(u \ ((z \ 1) * y)) * w). [para(6404(a,1),20087(a,1,2,1,1))]. 20090 K(x,K(y,z \ (u * w)) * v5) = K(x,K(y,(z \ u) * w) * v5). [para(20088(a,1),17041(a,1,2,1)),flip(a)]. 20091 K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,(w \ z) * u) * v5). [hyper(14793,a,20090,a)]. 20092 K(x,K(y,(z \ (u \ 1)) * w) * v5) = K(x,K(y,(w \ u) * z) * v5). [para(20087(a,1),20091(a,1,2,1)),flip(a)]. 20093 K(x,K(y,z * (u \ (w \ 1))) * v5) = K(x,K(y,(z \ w) * u) * v5). [hyper(16110,a,20092,a)]. 20094 K(x,K((y / (z \ 1)) * u,((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [hyper(62,a,14063,a(flip),b,20093,a),flip(a)]. 20095 K(x,y / L(z / u,w,w \ 1)) = K(x,y * (u / z)). [hyper(286,a,15508,a(flip),b,20084,a),flip(a)]. 20096 K(x,y / (z / u)) = K(x,y * (u / z)). [para(338(a,1),20095(a,1,2,2))]. 20097 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a((((K(w,v5) * z) * y) / x) \ 1,u,u \ 1). [para(4082(a,1),20015(a,1,1,1,1,1,1)),flip(a)]. 20098 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,((K(w,v5) * z) * y) / x). [hyper(286,a,6999,a(flip),b,20097,a),flip(a)]. 20099 a((x \ 1) \ ((y \ 1) * (z \ 1)),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * z) * y)). [hyper(286,a,13904,a,b,20098,a),flip(a)]. 20100 a((x \ 1) \ ((y * z) \ 1),u,u \ 1) = a(u,u \ 1,x \ ((K(w,v5) * y) * z)). [para(6394(a,1),20099(a,1,1,2))]. 20101 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(((w * v5) / y) \ 1,x,x \ 1). [para(6431(a,1),20100(a,1,1)),flip(a)]. 20102 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,(w * v5) / y). [hyper(286,a,6999,a(flip),b,20101,a),flip(a)]. 20103 a(x,x \ 1,y \ ((K(z,u) * w) * v5)) = a(x,x \ 1,y \ (w * v5)). [hyper(286,a,13904,a,b,20102,a),flip(a)]. 20104 a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,w \ (w * y)). [hyper(62,a,19966,a(flip),b,20103,a)]. 20106 a(x,x \ 1,L(y,K(z,u),w)) = a(x,x \ 1,y). [para(9(a,1),20104(a,2,3))]. 20107 a(x,x \ 1,y \ 1) * (K(z,u) * w) = (a(y,x,x \ 1) * K(z,u)) * w. [para(20106(a,1),17213(a,1,1))]. 20108 (a(x,y,y \ 1) * K(z,u)) * w = a(x,y,y \ 1) * (K(z,u) * w). [para(7002(a,1),20107(a,1,1)),flip(a)]. 20110 (x * a(y,z,z \ 1)) / (a(y,z,z \ 1) * (K(u,w) * x)) = K(w,L(u,a(y,z,z \ 1),x)). [para(20108(a,1),14705(a,1,2))]. 20111 K(x,L(y,a(z,u,u \ 1),w)) = K(x,y). [hyper(62,a,14666,a(flip),b,20110,a),flip(a)]. 20116 K(x,(y * a(z,u,u \ 1)) \ w) = K(x,a(z,u,u \ 1) \ (y \ w)). [hyper(62,a,14605,a(flip),b,20111,a),flip(a)]. 20118 K(x,L(y,a(z \ 1,z,u),w)) = K(x,y). [para(14697(a,1),20111(a,1,2,2))]. 20119 K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,a(z \ 1,z,u) \ (y / v5)). [hyper(62,a,19714,a(flip),b,20118,a)]. 20120 K(x,(y * a(z,u,u \ 1)) \ w) = K(x,y \ w). [hyper(286,a,20046,a(flip),b,20116,a),flip(a)]. 20123 K(x,y / (T(a(z \ 1,z,u),w) * v5)) = K(x,(y / v5) * a(u,z,z \ 1)). [hyper(286,a,19184,a(flip),b,20119,a),flip(a)]. 20124 K(x,y / (a(z \ 1,z,u) * w)) = K(x,(y / w) * a(u,z,z \ 1)). [para(107(a,1),20123(a,1,2,2,1))]. 20125 K(x,((y \ ((y \ 1) \ z)) / u) * a(z,y,y \ 1)) = K(x,z / u). [hyper(62,a,19063,a(flip),b,20124,a),flip(a)]. 20126 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / u). [hyper(62,a,20042,a(flip),b,20125,a)]. 20127 K(x,y / L(z,u,u \ 1)) = K(x,y / z). [hyper(18637,a,20126,a)]. 20130 K(x,y / R(z,u,u \ 1)) = K(x,y / z). [hyper(62,a,19525,a,b,20127,a)]. 20133 K(x,y / (z * (u \ 1))) = K(x,y / (z / u)). [para(560(a,1),20130(a,1,2,2))]. 20134 K(x,y / (z * (u \ 1))) = K(x,y * (u / z)). [hyper(286,a,20096,a(flip),b,20133,a),flip(a)]. 20136 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(13757,a,20134,a)]. 20137 K(x * (((x \ 1) / y) * z),T(u,(z \ (x \ 1)) * z) \ 1) = K(((z \ (x \ 1)) * y) / ((z \ (x \ 1)) * z),u). [para(10(a,1),19311(a,1,1,2,1,2))]. 20139 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u,T(y \ 1,x)) \ 1). [para(12110(a,1),20137(a,1,2,1)),flip(a)]. 20140 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,T(y \ 1,x))). [hyper(286,a,7968,a,b,20139,a),flip(a)]. 20141 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y \ 1)). [hyper(286,a,15077,a(flip),b,20140,a),flip(a)]. 20143 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K(y * (((y \ 1) / z) * x),T(u \ 1,y)). [hyper(286,a,8423,a(flip),b,20141,a),flip(a)]. 20144 K(((x \ (y \ 1)) * z) / ((x \ (y \ 1)) * x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(286,a,12087,a(flip),b,20143,a),flip(a)]. 20145 K(((x \ (y \ 1)) * z) / T(y \ 1,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(18370,a,20144,a)]. 20146 K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / z) * x) * y,u \ 1). [hyper(62,a,16064,a(flip),b,20145,a)]. 20147 K(x,y / (z / (T(u,w \ 1) * T(K(w,v5 \ 1) * (w \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(8517(a,2),19733(a,1,2,2,2,2))]. 20148 K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((y \ 1) * (x \ 1)) * z) * u,w). [para(10(a,1),19744(a,1,1,1,1,1,1)),flip(a)]. 20150 K((((x \ 1) * ((y * K(y * x,x \ 1)) \ 1)) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(6394(a,1),20148(a,2,1,1,1))]. 20151 K((((x \ 1) * (y \ K(x,y \ (x \ 1)))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(13851(a,1),20150(a,1,1,1,1,2))]. 20152 K((((x \ 1) * (x * ((y \ 1) / x))) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [para(9272(a,1),20151(a,1,1,1,1,2))]. 20153 K((L((x \ 1) / y,y,y \ 1) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). [para(4913(a,1),20152(a,1,1,1,1))]. 20154 K((T((x \ 1) * (y \ 1),x) * z) * u,w) = K((((x * y) \ 1) * z) * u,w). [hyper(62,a,18614,a(flip),b,20153,a)]. 20155 K((T((x * y) \ 1,y) * z) * u,w) = K((((y * x) \ 1) * z) * u,w). [para(6394(a,1),20154(a,1,1,1,1,1))]. 20156 K((((x * y) \ 1) * z) * u,T(w,u)) = K(u * (T((y * x) \ 1,x) * z),w). [hyper(12102,a,20155,a),flip(a)]. 20157 K(x * (T((y * z) \ 1,z) * u),w) = K(x * (((z * y) \ 1) * u),w). [hyper(12102,a,20156,a),flip(a)]. 20158 K(x * (T((y * z) \ 1,y) * u),w) = K(x * (((z * y) \ 1) * u),w). [hyper(62,a,19662,a(flip),b,20157,a)]. 20159 K(x * (T(((y * z) * ((y * z) \ z)) \ 1,y * z) * u),w) = K(x * (((z * K(y,z \ (y \ 1))) \ 1) * u),w). [para(13944(a,1),20158(a,2,1,2,1,1))]. 20160 K(x * (((y * K(z,y \ (z \ 1))) \ 1) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(10(a,1),20159(a,1,1,2,1,1,1)),flip(a)]. 20162 K(x * ((K(y \ (z \ 1),z) / y) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(13591(a,1),20160(a,1,1,2,1))]. 20163 K(x * ((K(y * z,y \ 1) / z) * u),w) = K(x * (T(z \ 1,y * z) * u),w). [para(13530(a,1),20162(a,1,1,2,1,1))]. 20164 K(x * ((y \ K(y * z,z \ 1)) * u),w) = K(x * (T(y \ 1,z * y) * u),w). [para(12180(a,2),20163(a,1,1,2,1))]. 20165 K(x * (T(y \ 1,z * y) * u),w) = K(x * (((z \ (y \ 1)) * z) * u),w). [para(6463(a,1),20164(a,1,1,2,1)),flip(a)]. 20166 K(x * (T(y \ 1,z * y) * u),w) = K(x * (T(y \ 1,z) * u),w). [hyper(286,a,17661,a(flip),b,20165,a),flip(a)]. 20167 K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,z * (y \ 1)) * u),w). [para(4893(a,1),20166(a,1,1,2,1,1)),flip(a)]. 20168 K(x * (T((y \ 1) \ 1,z) * u),w) = K(x * (T(y,y \ z) * u),w). [hyper(286,a,15487,a(flip),b,20167,a),flip(a)]. 20169 K(x * (T(y,y \ z) * u),w) = K(x * (T(y,z) * u),w). [para(4893(a,1),20168(a,1,1,2,1,1)),flip(a)]. 20170 K(x * (((y \ z) \ z) * u),w) = K(x * (T(y,z) * u),w). [hyper(62,a,15470,a(flip),b,20169,a)]. 20171 K(x * (T(y \ z,z) * u),w) = K(x * (T(y \ z,y) * u),w). [para(3934(a,1),20169(a,1,1,2,1)),flip(a)]. 20172 K(x * (T(y,z) * T(u,(y \ z) \ z)),w) = K(x * (u * ((y \ z) \ z)),w). [para(108(a,1),20170(a,1,1,2)),flip(a)]. 20173 K(x,y * (((z \ u) \ u) * w)) = (v5 * K(y * (T(z,u) * w),x)) \ v5. [para(20170(a,1),6895(a,1,1,2)),flip(a)]. 20174 K(x * (T(y \ z,z) * u),w) = K(x * ((z / y) * u),w). [hyper(286,a,19128,a(flip),b,20171,a),flip(a)]. 20175 K(x * ((T(y,z \ 1) \ z) * u),w) = K(x * ((z / y) * u),w). [hyper(62,a,17688,a,b,20174,a)]. 20176 K(x * ((y \ T(z,y \ 1)) * u),w) = K(x * ((z / y) * u),w). [para(6499(a,1),20175(a,1,1,2,1))]. 20177 K(x * ((y \ ((y \ 1) \ z)) * u),w) = K(x * (((z / (y \ 1)) / y) * u),w). [para(110(a,1),20176(a,1,1,2,1,2))]. 20178 K(x,y * (((z \ u) \ u) * w)) = K(x,y * (T(z,u) * w)). [hyper(286,a,15072,a(flip),b,20173,a),flip(a)]. 20179 K(x,y * (((z \ u) \ u) * K(w,v5))) = K(x,y * T(z * K(w,v5),u)). [hyper(286,a,17097,a,b,20178,a),flip(a)]. 20180 K(x,y * (T(z / u,z) * w)) = K(x,y * ((u \ z) * w)). [para(76(a,1),20178(a,1,2,2,1,1)),flip(a)]. 20181 K(x,y * (T(L(z,u \ 1,u) / T(u,w),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(6514(a,1),20180(a,2,2,2,1))]. 20182 K(x,y * T(z * K(u,w),u)) = K(x,y * ((z \ u) \ T(u,w))). [para(13515(a,1),20179(a,1,2,2)),flip(a)]. 20183 K(x * (T(y,z) * T(u,T(y,z))),w) = K(x * (u * ((y \ z) \ z)),w). [para(7716(a,1),20172(a,1,1,2,2))]. 20184 K(x * (y * ((z \ u) \ u)),w) = K(x * (y * T(z,u)),w). [para(108(a,1),20183(a,1,1,2)),flip(a)]. 20185 K((((x \ 1) / (y \ (x \ 1))) * T(z,y \ (x \ 1))) * x,u) = K(x * (z * T(y,x \ 1)),u). [hyper(62,a,18517,a,b,20184,a)]. 20186 K(x * (y * T(z,z \ u)),w) = K(x * (y * T(z,u)),w). [para(109(a,2),20184(a,1,1,2,2))]. 20187 K(x * (y * T(z * K(u,w),(z * K(u,w)) \ u)),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(7612(a,1),20186(a,2,1,2,2))]. 20188 K(x * (y \ K(z * ((u \ ((u \ 1) \ w)) * v5),z)),v6) = K(x * (y \ K(w * L(v5,u \ 1,u),z)),v6). [para(20177(a,2),18452(a,1,1,2,2))]. 20189 K((x * T(y,x \ (z \ 1))) * z,u) = K(z * (y * T(x,z \ 1)),u). [para(73(a,1),20185(a,1,1,1,1))]. 20190 K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z \ 1)),u). [hyper(62,a,17901,a(flip),b,20189,a)]. 20192 K((x * T(y,z * x)) * z,u) = K(z * (y * T(x,z)),u). [hyper(286,a,17897,a(flip),b,20190,a),flip(a)]. 20193 K(x,K(y,z * u)) * K(y * (u * T(z,y)),x) = K(L(u,z,y) * (y * z),x). [para(20192(a,1),15990(a,1,2))]. 20194 K(L(x,y,z) * (z * y),u) = K((x * T(y,z)) * z,u). [hyper(62,a,15869,a(flip),b,20193,a),flip(a)]. 20195 K((x * T(y,z)) * z,u) * K(x,K(u,z * y)) = K(z * (y * x),u). [para(20194(a,1),16607(a,1,1))]. 20196 K((x * y) * R(z,y,x),u) = K(x * (y * z),u). [hyper(62,a,14846,a(flip),b,20195,a)]. 20197 K(((x * y) \ z) * (y * x),u) = K(x * T(z / x,y),u). [hyper(62,a,18006,a(flip),b,20196,a),flip(a)]. 20198 K(K(x,y) * z,T(u,x * y)) = K(y * T(z / y,x),u). [hyper(62,a,12104,a(flip),b,20197,a)]. 20199 K(x * (y * T(z * K(u,w),K(w,u) * (z \ u))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(18258(a,1),20187(a,1,1,2,2,2))]. 20200 K(x * (y * T(z * K(u,w),z \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(15256(a,1),20199(a,1,1,2,2))]. 20201 K(x * (y * ((z \ u) \ T(u,w))),v5) = K(x * (y * (T(z,u) * K(u,w))),v5). [para(18394(a,1),20200(a,1,1,2,2))]. 20202 K(x * (y * T(z * K(u,w),u)),v5) = K(x * (y * ((z \ u) \ T(u,w))),v5). [para(7612(a,2),20201(a,2,1,2,2)),flip(a)]. 20203 K(x,K(y * (z * ((u \ w) \ T(w,v5))),(y * (z * ((u \ w) \ T(w,v5)))) \ v6) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(20202(a,2),13131(a,2,2,1))]. 20204 K(x * (y \ K((z \ ((z \ 1) \ u)) * w,v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [hyper(62,a,17140,a(flip),b,20188,a)]. 20205 K(x,y * (T(L(z / T(u,w),u,u \ 1),L(z,u \ 1,u)) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(7332(a,2),20181(a,1,2,2,1,1))]. 20206 K(x,y * (T(L(z / T(u,w),u,u \ 1),z) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(13676(a,1),20205(a,1,2,2,1))]. 20207 K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * (((T(u,w) \ 1) * z) * v5)). [para(25(a,2),20206(a,1,2,2,1))]. 20209 K(x,y * (L(T(z / T(u,w),z),u,u \ 1) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). [hyper(286,a,19803,a,b,20207,a),flip(a)]. 20210 K(x,y * (T(z / T(u,w),z) * v5)) = K(x,y * ((T(u \ 1,w) * z) * v5)). [hyper(62,a,20043,a(flip),b,20209,a)]. 20212 K(x,y * ((T(z \ 1,u) * w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). [hyper(62,a,20180,a(flip),b,20210,a),flip(a)]. 20213 L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(x,K(y,z),u * ((K(y,z) * u) \ w)). [para(17206(a,1),19927(a,1,1,2))]. 20214 K(x,y / (z / (T(u,w \ 1) * T(w \ K(w,v5 \ 1),v5)))) = K(x,y / (z / (T(w \ 1,v5) * (K(w,v5 \ 1) * u)))). [para(3234(a,1),20147(a,1,2,2,2,2,1))]. 20215 K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(v5,u \ 1) * T(T(u \ 1,w),w)))). [para(6464(a,1),20214(a,1,2,2,2,2,1)),flip(a)]. 20216 K(x,y / (z / (T(u \ 1,w) * (K(u,w \ 1) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(286,a,18775,a(flip),b,20215,a),flip(a)]. 20217 K(x,y / (z / (K(u,w \ 1) * (T(u \ 1,w) * v5)))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [para(7358(a,2),20216(a,1,2,2,2))]. 20218 K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ ((a(z,u,z) \ x) \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(13035(a,1),19862(a,1,1))]. 20219 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(v5 * v6,v5 * (v6 * ((L(y,w \ 1,w) * z) * u)))). [hyper(286,a,15966,a(flip),b,19920,a),flip(a)]. 20221 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K((L(y,w \ 1,w) * z) * u,v5 * v6)). [hyper(286,a,12710,a(flip),b,20219,a),flip(a)]. 20222 K(x,K(((y * z) * u) * a(L(y,z,u),w \ 1,w),v5 * v6)) = K(x,K(z * (u * L(y,w \ 1,w)),v5 * v6)). [hyper(286,a,18970,a(flip),b,20221,a),flip(a)]. 20223 K(x,K(T(y,z * u) * (L(z,w \ 1,w) * u),v5 * v6)) = K(x,K(u * (y * L(z,w \ 1,w)),v5 * v6)). [para(19919(a,1),20222(a,1,2))]. 20224 K(x,K(y * (z * T(u,y * z)),w * v5)) = K(x,K(z * (u * L(y,v6 \ 1,v6)),w * v5)). [hyper(62,a,19532,a(flip),b,20223,a)]. 20226 K(x,K(L(y,z,u) * (u * z),w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). [para(578(a,1),20224(a,1,2,1))]. 20227 K(x,K((y * T(z,u)) * u,w * v5)) = K(x,K(z * (y * L(u,v6 \ 1,v6)),w * v5)). [para(20194(a,1),20226(a,1,2))]. 20228 K(x,K(T(y,z) * (z * u),w * v5)) = K(x,K(y * (u * L(z,v6 \ 1,v6)),w * v5)). [hyper(62,a,18970,a(flip),b,20227,a)]. 20229 K(x,K(y * (z * L(u,w \ 1,w)),v5 * v6)) = K(x,K(y * (u * z),v5 * v6)). [hyper(15874,a,20228,a),flip(a)]. 20230 K(x,K(y * z,u * (w \ (L(v5,v6 \ 1,v6) * v7)))) = K(x,K(v7 * (v5 * (w \ u)),z * y)). [hyper(18974,a,20229,a)]. 20232 K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (u * v7)),y * z)). [hyper(62,a,18975,a(flip),b,20229,a)]. 20233 K(x,K(y * z,u * ((L(w,v5 \ 1,v5) * v6) * v7))) = K(x,K(v6 * (w * (v7 \ u)),z * y)). [hyper(62,a,18987,a(flip),b,20230,a)]. 20234 K(x,K(y * (z * (u \ w)),v5 * v6)) = K(x,K(y * (z * (w * u)),v6 * v5)). [hyper(62,a,20232,a(flip),b,20233,a),flip(a)]. 20235 K(x,K(y * (z * (u * w)),((z * (u \ w)) * y) * v5)) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,19020,a(flip),b,20234,a),flip(a)]. 20236 K(x,K(y * (z * (u * w)),(z * (u \ w)) * (y * v5))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,18986,a(flip),b,20235,a)]. 20237 K(x,K(y * (z * (u * w)),z * ((u \ w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,18986,a(flip),b,20236,a)]. 20238 K(x,K(y * (z * (u * w)),z * ((u * w) * (y * v5)))) = K(x,K(v5,y * (z * (w \ u)))). [hyper(62,a,19021,a(flip),b,20237,a)]. 20239 K(x,K(y,z * (u * (w \ v5)))) = K(x,K(y,z * (u * (v5 * w)))). [hyper(62,a,19895,a(flip),b,20238,a),flip(a)]. 20240 K(x,K(y,L(z,u,w) * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,19002,a,b,20239,a)]. 20241 K((x \ y) * a(z,u,z),L(T(w,v5),a(z,u,z) \ x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(12881(a,1),20218(a,1,2,3,2))]. 20242 K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ a(z,u,z)))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [para(13384(a,1),20241(a,1,2))]. 20243 K((x \ y) * a(z,u,z),L(T(w,v5),x,v5 \ (x \ 1))) = K(((((v5 \ 1) / x) * a(z,u,z)) * y) * v5,w). [hyper(62,a,14583,a(flip),b,20242,a)]. 20245 K(x \ y,L(T(z,u),x,u \ (x \ 1))) = K(((((u \ 1) / x) * a(w,v5,w)) * y) * u,z). [hyper(13187,a,20243,a)]. 20248 K(((((x \ 1) / y) * a(z,u,z)) * w) * x,v5) = K((((x \ 1) / y) * w) * x,v5). [hyper(62,a,19861,a(flip),b,20245,a),flip(a)]. 20249 K((((x \ a(y,z,y)) / u) * w) * x,v5) = K((((x \ 1) / u) * w) * x,v5). [para(13031(a,1),20248(a,1,1,1,1))]. 20250 K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ a(z,u,z))) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). [para(6042(a,2),20249(a,1,1,1))]. 20251 K(((x \ (y \ a(z,u,z))) * (K(x,x \ (y \ 1)) * w)) * y,v5) = K((((y \ 1) / x) * w) * y,v5). [para(13123(a,1),20250(a,1,1,1,2,1))]. 20252 K(((x \ (y \ a(z,u,z))) * w) * (y * K(x \ (y \ 1),x)),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(19146,a,20251,a)]. 20254 K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x \ 1)),v5) = K((((y \ 1) / x) * w) * y,v5). [para(13530(a,1),20252(a,1,1,2,2))]. 20255 K(((x \ (y \ a(z,u,z))) * w) * (y * K(y * x,x)),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(16999,a,20254,a)]. 20256 K(((x \ (y \ a(z,u,z))) * w) * (y * K(x * y,x)),v5) = K((((y \ 1) / x) * w) * y,v5). [para(7011(a,1),20255(a,1,1,2,2))]. 20257 K(K(x,y) * (((y \ (x \ a(z,u,z))) * w) * x),v5) = K((((x \ 1) / y) * w) * x,v5). [hyper(62,a,17846,a(flip),b,20256,a)]. 20258 K(((x \ (y \ a(z,u,z))) * w) * T(y,x),v5) = K((((y \ 1) / x) * w) * y,v5). [hyper(15160,a,20257,a)]. 20259 K(((x \ (y \ 1)) * z) * T(y,x),u) = K((((y \ 1) / x) * z) * y,u). [para(418(a,1),20258(a,1,1,1,1,2,2))]. 20260 K((((x \ 1) / y) * z) * x,u \ 1) = K((((x \ 1) / z) * y) * x,u). [hyper(62,a,20146,a(flip),b,20259,a)]. 20261 K((((x \ 1) / y) * z) * x,u) * K(x,K(u,y \ z)) = K(x * (((x \ 1) / z) * y),u \ 1). [para(20260(a,1),18009(a,1,1))]. 20262 K(x * (((x \ 1) / y) * z),u \ 1) = K(x * (((x \ 1) / z) * y),u). [hyper(62,a,16924,a(flip),b,20261,a),flip(a)]. 20263 (x * K(y * (((y \ 1) / z) * u),w)) \ x = K(w \ 1,y * (((y \ 1) / u) * z)). [para(20262(a,1),6895(a,1,1,2))]. 20264 K(x \ 1,y * (((y \ 1) / z) * u)) = K(x,y * (((y \ 1) / u) * z)). [hyper(15158,a,20263,a),flip(a)]. 20265 K(x,(y * (((y \ 1) / z) * u)) \ 1) = K(x,y * (((y \ 1) / u) * z)). [hyper(6476,a,20264,a)]. 20266 K(x,(((y \ 1) / z) * u) \ (y \ 1)) = K(x,y * (((y \ 1) / u) * z)). [hyper(13749,a,20265,a)]. 20267 K(x,y * (((y \ 1) / z) * u)) * K(x,K(y,z \ u)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). [para(20266(a,1),18893(a,1,1))]. 20268 K(x,T(y * (((y \ 1) / z) * u),y)) = K(x,y \ ((z \ 1) * ((u \ 1) \ y))). [hyper(62,a,16925,a(flip),b,20267,a)]. 20269 K(x,y \ ((z \ 1) * ((u \ 1) \ y))) = K(x,(((y \ 1) / z) * u) * y). [hyper(12144,a,20268,a),flip(a)]. 20270 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((u \ 1) \ (y \ 1)))). [hyper(13568,a,20269,a),flip(a)]. 20271 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * ((z \ 1) * ((y / u) \ 1))). [para(6431(a,1),20270(a,2,2,2,2))]. 20272 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y * (((y / u) * z) \ 1)). [para(6394(a,1),20271(a,2,2,2))]. 20273 K(x,((((y \ 1) \ 1) / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). [hyper(286,a,13554,a(flip),b,20272,a),flip(a)]. 20274 K(x,((y / z) * u) * (y \ 1)) = K(x,y / ((y / u) * z)). [para(4893(a,1),20273(a,1,2,1,1,1))]. 20275 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(13559,a,20274,a)]. 20276 K(x,y / ((y / T(z,u)) * u)) = K(x,y \ (z * (u \ y))). [hyper(62,a,19574,a(flip),b,20275,a),flip(a)]. 20277 K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). [hyper(62,a,19730,a(flip),b,20276,a)]. 20278 K(x,y \ (z * (u \ y))) * K(x,K(y,u * (z \ y))) = K(x,y / (u * (z \ y))). [para(20277(a,1),8717(a,1,1))]. 20279 K(x,y \ (z * (u \ y))) * K(x,K(y,u \ z)) = K(x,y / (u * (z \ y))). [para(16851(a,1),20278(a,1,2))]. 20280 K(x,T(y \ (z * (u \ y)),y)) = K(x,y / (u * (z \ y))). [hyper(62,a,16840,a(flip),b,20279,a)]. 20281 K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). [hyper(8246,a,20280,a)]. 20282 K(x,(y * (R(z \ 1,z,u) \ u)) / u) = K(x,u / (z \ (y \ u))). [hyper(286,a,18742,a(flip),b,20281,a),flip(a)]. 20283 K(x,(y * (z * u)) / u) = K(x,u / (z \ (y \ u))). [para(4908(a,1),20282(a,1,2,1,2))]. 20284 K(x,y / (z \ (R(u \ 1,u,T(y,z)) \ y))) = K(x,(u \ (z * y)) / y). [hyper(62,a,18569,a(flip),b,20283,a),flip(a)]. 20285 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (T(u,y) * T(y,z))) / (T(y,z) * K(u,y))). [para(5726(a,1),20283(a,1,2,1,2)),flip(a)]. 20286 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,(w * (u * K(y,z))) * K(z,y)). [para(6892(a,1),20283(a,1,2)),flip(a)]. 20287 K(x,y / (z \ (u \ y))) * K(x,K(y,u * z)) = K(x,y \ (u * (z * y))). [para(20283(a,1),10565(a,1,1))]. 20288 K(x,(y * ((z * u) * K(w,v5 / (u * z)))) / (z * u)) = K(x,(z * u) / (K(w,(u * z) \ v5) \ (y \ (z * u)))). [para(14986(a,1),20283(a,1,2,1,2))]. 20289 K(x,K(y,z * u)) * K(y,x / (z \ (u \ x))) = K(y,x \ (u * (z * x))). [para(20283(a,1),15943(a,1,2))]. 20290 K(x,(y \ (z * u)) / u) = K(x,u / (z \ (y * u))). [para(13837(a,1),20284(a,1,2,2,2)),flip(a)]. 20291 K((x \ y) \ y,z / (u \ (w * z))) = K(x,T((w \ (u * z)) / z,y)). [hyper(7986,a,20290,a),flip(a)]. 20293 K(x,T((y \ (z * u)) / u,w)) = K(x,T(u / (z \ (y * u)),w)). [hyper(7986,a,20291,a),flip(a)]. 20294 K(x,T(y / (z \ (u * y)),y)) = K(x,y \ (u \ (z * y))). [para(110(a,1),20293(a,1,2)),flip(a)]. 20295 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(8352,a,20294,a)]. 20296 K(x,y \ (z \ ((z * u) * y))) = K(x,y / ((y * z) / (u * z))). [hyper(62,a,19704,a(flip),b,20295,a),flip(a)]. 20297 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,(T(y,z) \ 1) / ((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z))))). [para(8646(a,1),20296(a,2,2,2,1))]. 20298 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * (K(z,y) * (u * K(y,z)))). [hyper(286,a,17063,a(flip),b,20286,a),flip(a)]. 20299 K(x,(y \ (z \ u)) \ u) = K(x,u \ (z * (y * u))). [hyper(62,a,16748,a(flip),b,20287,a)]. 20300 K(x,y \ (z * ((u \ 1) * y))) != w | K(x,(((z \ y) \ 1) / u) * y) = w. [para(20299(a,1),13753(a,1))]. 20301 K(x,K(y,z * u)) * K(y,T(x,w) / (z \ (u \ T(x,w)))) = K(y,T(x,w) \ (u * (z * T(x,w)))). [para(15014(a,1),20289(a,1,1))]. 20302 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * T(u,K(z,y))). [para(8119(a,1),20298(a,2,2,2))]. 20303 K(x,K(y,z) / (u \ (w \ K(y,z)))) = K(x,w * u). [hyper(286,a,15392,a(flip),b,20302,a),flip(a)]. 20304 K(x,(y \ (z \ K(u,w))) \ K(u,w)) = K(x,z * y). [hyper(15086,a,20303,a)]. 20306 K(x,(y \ K(z,u)) \ (w * (v5 \ K(z,u)))) = K(x,y * (w * (v5 \ 1))). [hyper(62,a,19934,a(flip),b,20304,a)]. 20307 K(x,K(y,z) * (u * (w * (v5 \ K(y,z))))) = K(x,u * (w * (v5 \ 1))). [hyper(62,a,18340,a(flip),b,20306,a)]. 20308 K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y * ((z \ w) * (v5 \ 1))). [hyper(62,a,17771,a(flip),b,20307,a)]. 20309 K(x,(y * (z * u)) / ((z * u) * K(w / (u * z),v5))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). [para(18884(a,1),20288(a,1,2))]. 20310 K(x,(y * (z * u)) / (z * (u * K((w / z) / u,v5)))) = K(x,(z * u) / (K(v5,(u * z) \ w) \ (y \ (z * u)))). [para(14432(a,1),20309(a,1,2,2))]. 20311 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,(v5 * (y * z)) * ((y * z) \ K(u,(w / y) / z))). [hyper(17310,a,20310,a),flip(a)]. 20312 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,(w / y) / z) * v5). [hyper(286,a,19079,a(flip),b,20311,a),flip(a)]. 20314 K(x,(y * z) / (K(u,(z * y) \ w) \ (v5 \ (y * z)))) = K(x,K(u,z \ (w / y)) * v5). [hyper(286,a,16799,a,b,20312,a),flip(a)]. 20315 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,T(z,u))). [para(12372(a,1),20285(a,2,2))]. 20316 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (K(y,z) * (u * y))) / T(y,z)). [hyper(286,a,15410,a(flip),b,20315,a),flip(a)]. 20318 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (T(y,z) \ K(y,z))). [hyper(286,a,18455,a(flip),b,20316,a),flip(a)]. 20319 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) * (y \ 1)). [para(4655(a,1),20318(a,2,2,2))]. 20320 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,(w * (u * y)) / y). [hyper(286,a,13554,a(flip),b,20319,a),flip(a)]. 20322 K(x,(T(y,z) * K(u,y)) / (u \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). [hyper(286,a,20283,a(flip),b,20320,a),flip(a)]. 20323 K(x,T(y,z) * ((u \ (w \ (T(y,z) * K(u,y)))) \ K(u,y))) = K(x,y / (u \ (w \ y))). [hyper(18210,a,20322,a)]. 20324 K(x,T(y,z) / (T(u,y) \ (w \ (T(y,z) * K(u,y))))) = K(x,y / (u \ (w \ y))). [hyper(62,a,13822,a(flip),b,20323,a)]. 20325 K(x,T(y,z) / (T(u,y) \ ((w \ T(y,z)) * K(u,y)))) = K(x,y / (u \ (w \ y))). [para(18287(a,1),20324(a,1,2,2,2))]. 20326 K(x,T(y,z) / T(u \ (w \ T(y,z)),K(u,y))) = K(x,y / (u \ (w \ y))). [para(7645(a,1),20325(a,1,2,2))]. 20327 K(x,T(y,z) / (u \ (w \ T(y,z)))) = K(x,y / (u \ (w \ y))). [hyper(15429,a,20326,a)]. 20329 K(x,T(y,z) \ (u * (w * T(y,z)))) = K(y,K(x,w * u)) * K(x,y / (w \ (u \ y))). [para(20327(a,1),20301(a,1,2)),flip(a)]. 20330 K(x,T(y,z) \ (u * (w * T(y,z)))) = K(x,y \ (u * (w * y))). [hyper(286,a,20289,a(flip),b,20329,a),flip(a)]. 20332 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (L(u \ 1,u,y) * (w * y))). [hyper(62,a,19622,a(flip),b,20330,a)]. 20333 K(x,T(y,z) \ (u \ (w * T(y,z)))) = K(x,y \ (u \ (w * y))). [hyper(286,a,19621,a(flip),b,20332,a),flip(a)]. 20334 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ ((K(w,T(y,z)) * u) \ (w * y))). [para(13730(a,1),20333(a,1,2,2))]. 20335 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ T(y * w,K(w,z)))). [para(17785(a,1),20334(a,2,2,2))]. 20336 ((x \ 1) * ((K(y,z) * (x \ 1)) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13512(a,1),19314(a,2,1,2))]. 20337 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) * (x \ 1)) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13636(a,1),20336(a,1,1,2,1))]. 20338 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,x \ ((K(y,z) / x) \ u))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(13636(a,1),20337(a,1,2,2,2,2,1))]. 20339 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,K(z,y) * u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(17090(a,1),20338(a,1,2,2))]. 20340 ((x \ 1) * ((K(y,z) / x) \ u)) * K(y,T(z,u)) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [para(8758(a,1),20339(a,1,2,2))]. 20342 (x \ 1) * ((K(y,z) / x) \ (u * K(y,T(z,u)))) = ((u / (x \ 1)) * (x \ K(z,y))) * K(y,z). [hyper(62,a,19581,a(flip),b,20340,a)]. 20345 ((x / (y \ 1)) * (y \ K(z,u))) * K(u,z) = (y \ 1) * ((K(u,z) / y) \ (K(u,z) * x)). [para(7736(a,1),20342(a,1,2,2)),flip(a)]. 20346 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(u * x,x,K(z,y)). [hyper(62,a,17751,a(flip),b,20345,a),flip(a)]. 20347 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,x \ (u * x),K(z,u * x)). [para(19416(a,2),20346(a,2,2))]. 20348 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,T(u,x),K(z,u * x)). [para(22(a,2),20347(a,2,2,2))]. 20349 (x \ 1) * ((K(y,z) / x) \ (K(y,z) * u)) = u * a(y,u,K(z,u * x)). [para(19392(a,1),20348(a,2,2))]. 20351 a(x,y,K(z \ L(z,u,w),T(z,v5))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(7777(a,1),19900(a,1,1,3))]. 20352 K(x,K(y * (z * ((u \ w) \ T(w,v5))),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(13697(a,1),20203(a,1,2,1))]. 20353 a(x,y,a(z,u,K(w,T(z,v5)))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(14279(a,1),20351(a,1,1,3))]. 20354 a(x,y,a(z,u,K(w,z))) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(18018(a,1),20353(a,1,1,3))]. 20355 a(x,y,1) * K(x,z \ (((z / y) * T(z \ L(z,u,w),v5)) * y)) = K(x,y \ (z \ (L(z,u,T(w,v5)) * y))). [para(9507(a,1),20354(a,1,1,3))]. 20357 1 * K(x,y \ (((y / z) * T(y \ L(y,u,w),v5)) * z)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). [para(418(a,1),20355(a,1,1))]. 20360 1 * K(x,T((y * z) \ (L(y,u,w) * z),v5)) = K(x,z \ (y \ (L(y,u,T(w,v5)) * z))). [para(19775(a,1),20357(a,1,2))]. 20361 K(x,T((y * z) \ (L(y,u,w) * z),v5)) = a(y,u,K(x,w)). [hyper(114,a,20360,a,b,19797,a(flip))]. 20363 K(x,K(y * (z * T(u * K(w,v5),w)),(z * ((u \ w) \ T(w,v5))) \ (y \ v6)) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [para(20202(a,2),20352(a,1,2,1))]. 20364 a(x,T(y,z),K(u,w)) * K(u,(w * (T(y,z) \ 1)) \ (x * (T(y,z) \ 1))) = K(u,K(y,z) * ((y \ 1) \ (w \ (x * (T(y,z) \ 1))))). [para(14474(a,1),19903(a,1,1))]. 20365 a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * (T(y,w) \ 1))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(19392(a,1),20364(a,1,1))]. 20367 a(x,y,K(z,u)) * K(z,(u * (T(y,w) \ 1)) \ (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(19843(a,2),20365(a,1,2))]. 20368 a(x,y,K(z,u)) * K(z,(T(y,w) * (u \ 1)) * (x * T(y \ 1,w))) = K(z,K(y,w) * ((y \ 1) \ (u \ (x * (T(y,w) \ 1))))). [para(13555(a,1),20367(a,1,2))]. 20369 K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = a(w,y,K(x,u)) * K(x,(y * (u \ 1)) * (w * (y \ 1))). [para(19992(a,1),20368(a,1,2)),flip(a)]. 20370 K(x,K(y,z) * ((y \ 1) \ (u \ (w * (T(y,z) \ 1))))) = K(x,y * (u \ (w * (y \ 1)))). [hyper(286,a,19906,a(flip),b,20369,a),flip(a)]. 20372 K(x,(T(y,z) \ 1) \ (u \ (w * (T(y,z) \ 1)))) = K(x,y * (u \ (w * (y \ 1)))). [hyper(62,a,18839,a(flip),b,20370,a)]. 20373 x \ T(y * T(x,K(z,((u \ 1) * w) * (v5 \ v6))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(18938(a,1),19108(a,1,2,1,2))]. 20374 K(K(x,K(y,z * (u * (1 \ w)))) * (v5 \ K(((w \ 1) \ u) * z,x)),v6) = K(v5 \ (K(x,K(z,w * u)) * T(K(z * ((w \ 1) \ u),x),y)),v6). [para(18979(a,1),19114(a,1,1,1))]. 20375 K(x * ((((y / z) / (z \ 1)) * (T(z,(y / ((z \ 1) \ 1)) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(4893(a,1),19830(a,1,1,2,1,1,1,2))]. 20376 K(x * ((((y / z) / (z \ 1)) * (T(z,(y / z) / (z \ 1)) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(4893(a,1),20375(a,1,1,2,1,2,1,2,1,2))]. 20377 K(x * ((((y / z) / (z \ 1)) * (T(z,y) \ 1)) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(13724(a,1),20375(a,1,1,2,1,2,1))]. 20378 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * (((y / z) * K(y,z)) \ u),w). [para(7147(a,1),20377(a,1,1,2,1)),flip(a)]. 20380 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((y / T(z,y)) \ u),w). [para(6605(a,1),20378(a,2,1,2,1))]. 20381 K(x * (T(((y / z) / (z \ 1)) * (z \ 1),z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [hyper(62,a,19828,a,b,20376,a)]. 20382 K(x * (T(y / z,z) \ u),w) = K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w). [para(12(a,1),20381(a,1,1,2,1,1))]. 20384 K(x * ((y / (T(z \ 1,y) \ 1)) \ u),w) = K(x * ((z \ y) \ u),w). [para(110(a,1),20382(a,1,1,2,1)),flip(a)]. 20385 K(x * ((y / T(z,y)) \ u),w) = K(x * ((z \ y) \ u),w). [hyper(62,a,20380,a(flip),b,20384,a)]. 20386 K(x \ ((y / T(z,y)) \ u),w) = K((x \ a(v5,v6,v5)) * ((z \ y) \ u),w). [hyper(13780,a,20385,a)]. 20388 K(x \ ((y / T(z,y)) \ u),w) = K(x \ ((z \ y) \ u),w). [hyper(286,a,13549,a(flip),b,20386,a),flip(a)]. 20389 K(x,y \ ((z / T(u,z)) \ w)) = (v5 * K(y \ ((u \ z) \ w),x)) \ v5. [para(20388(a,1),6895(a,1,1,2)),flip(a)]. 20390 K(x,y \ ((z / T(u,z)) \ w)) * a(v5,v6,K(y \ ((u \ z) \ w),x)) = K(x,L(y \ ((z / T(u,z)) \ w),v6,v5)). [para(20388(a,1),11746(a,1,2,3))]. 20391 K(x,y \ ((z / T(u,z)) \ w)) = K(x,y \ ((u \ z) \ w)). [hyper(286,a,15072,a(flip),b,20389,a),flip(a)]. 20392 K(x,y \ ((z \ u) \ w)) * a(v5,v6,K(y \ ((z \ u) \ w),x)) = K(x,L(y \ ((u / T(z,u)) \ w),v6,v5)). [para(20391(a,1),20390(a,1,1))]. 20393 K(x,L(y \ ((z / T(u,z)) \ w),v5,v6)) = K(x,L(y \ ((u \ z) \ w),v5,v6)). [hyper(11806,a,20392,a),flip(a)]. 20394 K(x,L(y \ ((z \ u) \ w),w,z \ u)) = K(x,((T(u,z) / z) * y) \ w). [hyper(62,a,19215,a(flip),b,20393,a),flip(a)]. 20395 K(x,((T(y,z) / z) * u) \ w) = K(x,((z \ y) * u) \ w). [hyper(18191,a,20394,a),flip(a)]. 20396 K(x,((y \ z) * u) \ w) * K(x,K((y \ z) * u,w)) = K(x,w / ((T(z,y) / y) * u)). [para(20395(a,1),17881(a,1,1))]. 20397 K(x,y / ((T(z,u) / u) * w)) = K(x,y / ((u \ z) * w)). [hyper(62,a,8683,a(flip),b,20396,a),flip(a)]. 20398 K(x,y / ((T(z,u) / u) * a(u \ z,w,w \ 1))) = K(x,y / R(u \ z,w,w \ 1)). [para(716(a,1),20397(a,2,2,2))]. 20399 K(x,y / (T(z,(u \ a(w,v5,w)) * v6) / ((u \ 1) * v6))) = K(x,y / ((((u \ a(w,v5,w)) * v6) \ z) * a(w,v5,w))). [para(13070(a,1),20397(a,1,2,2))]. 20400 K(x,y / R(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). [para(20011(a,1),20398(a,1,2,2))]. 20401 K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / R(u \ z,w,w \ 1)). [hyper(19526,a,20400,a)]. 20402 K(x,y / L(z / T(u,z),w,w \ 1)) = K(x,y / L(u \ z,w,w \ 1)). [hyper(286,a,19525,a(flip),b,20401,a),flip(a)]. 20404 K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (T(z,u) / u)). [hyper(62,a,20095,a(flip),b,20402,a),flip(a)]. 20406 K(x,y / L(z \ u,w,w \ 1)) = K(x,y * (u \ z)). [hyper(286,a,17125,a(flip),b,20404,a),flip(a)]. 20407 K(x,y / (z \ u)) = K(x,y * (u \ z)). [hyper(62,a,20127,a(flip),b,20406,a)]. 20408 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [para(3013(a,1),20406(a,1,2,2)),flip(a)]. 20409 K(x,(y * z) * ((u \ (y * z)) \ K(w,(z * y) \ v5))) = K(x,K(w,z \ (v5 / y)) * u). [hyper(62,a,20314,a(flip),b,20407,a),flip(a)]. 20410 K(x,y * (z \ u)) * x = T(x,y / (u \ z)). [para(20407(a,1),4667(a,2,1)),flip(a)]. 20411 T(x,y / (z \ u)) = T(x,y * (u \ z)). [hyper(4668,a,20410,a),flip(a)]. 20412 K(x,T(y,z \ (u \ w)) * v5) = K(x,T(y,z * (w \ u)) * v5). [para(20411(a,1),18673(a,2,2,1))]. 20413 K(x,T(y,(z * u) * (K(w,v5) \ v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). [hyper(62,a,18676,a(flip),b,20412,a),flip(a)]. 20414 K(x,T(y,(z * u) * (K(w,v5) * v6)) * v7) = K(x,T(y,v6 * (z * T(u,v8))) * v7). [para(5839(a,1),20413(a,1,2,1,2,2))]. 20415 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,(u * w) * z) * v6). [hyper(62,a,18670,a(flip),b,20414,a),flip(a)]. 20416 K(x,K(y,(z * u) \ w) * v5) = K(x,K(y,z \ (w / u)) * v5). [hyper(19083,a,20409,a)]. 20418 K(x,K(y * (z * T(u * K(w,v5),w)),z \ ((y \ v6) / ((u \ w) \ T(w,v5)))) * v7) = K(x,K(y * (z * T(u * K(w,v5),w)),v6) * v7). [hyper(62,a,20363,a(flip),b,20416,a),flip(a)]. 20419 K(x,K(y,z \ (u / w)) * v5) = K(x,K(y,(u \ z) * w) * v5). [hyper(62,a,20091,a(flip),b,20416,a),flip(a)]. 20420 K(x,y / (T(z,u \ w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). [para(13883(a,1),20399(a,1,2,2,1))]. 20421 K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / ((((u \ a(v5,v6,v5)) * w) \ z) * a(v5,v6,v5))). [hyper(62,a,19807,a(flip),b,20420,a)]. 20423 K(x,y / (T(z,u * w) / ((u \ 1) * w))) = K(x,y / (((u \ 1) * w) \ z)). [para(13038(a,1),20421(a,2,2,2))]. 20424 K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * (w * K(v5,v6))) * z) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). [hyper(62,a,18578,a(flip),b,20418,a)]. 20426 K(x,K(y \ ((z \ u) / ((w \ v5) \ T(v5,v6))),(y * w) * (z * K(v6,v5))) * v7) = K(x,K(z * (y * T(w * K(v5,v6),v5)),u) * v7). [para(19155(a,1),20424(a,1,2,1))]. 20427 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(u * (y * T(z * K(v5,v6),v5)),w) * v7). [hyper(16101,a,20426,a)]. 20428 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * (z * K(v5,v6))) * u) * v7). [hyper(286,a,18578,a(flip),b,20427,a),flip(a)]. 20431 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K(w,(y * z) * (u * K(v6,v5))) * v7). [para(19155(a,1),20428(a,2,2,1))]. 20432 K(x,K((y * z) * u,y \ ((u \ w) / ((z \ v5) \ T(v5,v6)))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(286,a,16113,a(flip),b,20431,a),flip(a)]. 20434 K(x,K((y * z) * u,((u \ w) \ y) * ((z \ v5) \ T(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(62,a,20419,a(flip),b,20432,a)]. 20435 K(x,K((y * z) * u,((u \ w) \ y) * T(z * K(v5,v6),v5)) * v7) = K(x,K((y * z) * u,w) * v7). [para(20182(a,2),20434(a,1,2,1))]. 20436 K(x,K((y * z) * u,((u \ w) \ y) * (z * K(v5,v6))) * v7) = K(x,K((y * z) * u,w) * v7). [hyper(62,a,16116,a(flip),b,20435,a)]. 20437 K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K((u * w) * y,z) * v5). [hyper(16101,a,20436,a)]. 20439 x \ T(y * T(x,K(z,(u \ 1) * (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(19603(a,1),20373(a,1,2,1,2))]. 20440 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(((u \ 1) \ w) * z,y)),v6). [para(64(a,1),20374(a,1,1,1,2,2,2,2)),flip(a)]. 20441 x \ T(y * T(x,K(z,u \ (w * (v5 \ v6)))),K(z,v5 * (((w \ 1) * u) * (v6 \ 1)))) = T(y,K(v5 * (((w \ 1) * u) * (v6 \ 1)),z) * x). [para(13501(a,1),20439(a,1,2,1,2,2))]. 20442 x \ T(y * T(x,K(z,(u \ w) * (v5 \ v6))),K(z,u * (((v6 \ 1) * v5) * (w \ 1)))) = T(y,K(u * (((v6 \ 1) * v5) * (w \ 1)),z) * x). [para(18939(a,1),20441(a,1,2,1,2))]. 20443 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w * (((v6 \ 1) * v5) * (u \ 1)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18949(a,1),20442(a,1,2,1,2))]. 20444 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,w / (u * ((v5 \ 1) * v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(13617(a,1),20443(a,1,2,2))]. 20445 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(u * ((v5 \ 1) * v6)) \ w)) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(15124(a,2),20444(a,1,2))]. 20446 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,((v5 \ 1) * v6) * (w \ u))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18938(a,1),20445(a,1,2))]. 20447 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(v5 \ 1) * (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(19603(a,1),20446(a,1,2))]. 20448 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,v5 \ (v6 * (w \ u)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(13501(a,1),20447(a,1,2,2))]. 20449 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,(w \ u) * (v5 \ v6))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18939(a,1),20448(a,1,2))]. 20450 x \ T(y * T(x,K(z,u * (w \ (v5 \ v6)))),K(z,u * (w \ (v5 \ v6)))) = T(y,K(w * (((v6 \ 1) * v5) * (u \ 1)),z) * x). [para(18949(a,1),20449(a,1,2))]. 20451 T(x,K(y * (((z \ 1) * u) * (w \ 1)),v5) * v6) = T(x,K(w * (y \ (u \ z)),v5) * v6). [hyper(15314,a,20450,a),flip(a)]. 20452 T(x,K(y / (z * ((u \ 1) * w)),v5) * v6) = T(x,K(z * (y \ (u \ w)),v5) * v6). [para(13646(a,1),20451(a,1,2,1))]. 20453 T(x,K((y * ((z \ 1) * u)) \ w,v5) * v6) = T(x,K(y * (w \ (z \ u)),v5) * v6). [hyper(16086,a,20452,a)]. 20454 T(x,K(((y \ 1) * z) \ (u \ w),v5) * v6) = T(x,K(u * (w \ (y \ z)),v5) * v6). [hyper(62,a,17014,a(flip),b,20453,a)]. 20455 T(x,K(((y \ 1) * z) * (u \ w),v5) * v6) = T(x,K(u * (w \ (z \ y)),v5) * v6). [para(13539(a,1),20454(a,1,2,1))]. 20456 T(x,K((y \ (z \ u)) * w,v5) * v6) = T(x,K(z * (u \ (w \ y)),v5) * v6). [hyper(17942,a,20455,a)]. 20457 T(x,K(y * (1 \ (z \ u)),w) * v5) = T(x,K((z \ y) * u,w) * v5). [hyper(17944,a,20456,a),flip(a)]. 20458 T(x,K((y \ z) * u,w) * v5) = T(x,K(z * (y \ u),w) * v5). [para(64(a,1),20457(a,1,2,1,1,2)),flip(a)]. 20459 x \ (T(x \ 1,K(y * (z \ u),w) * v5) \ 1) = K(K((z \ y) * u,w) * v5,x \ 1). [para(20458(a,1),5999(a,1,2,1))]. 20460 T(x / T(y,K(z * (u \ w),v5) * v6),y) / (y \ x) = K(K((u \ z) * w,v5) * v6,T(y,x)). [para(20458(a,1),8559(a,1,1,1,2))]. 20461 K(K((x \ y) * z,u) * w,v5 \ 1) = K(K(y * (x \ z),u) * w,v5 \ 1). [hyper(6000,a,20459,a),flip(a)]. 20462 K(K((x \ y) * z,u) * w,v5 \ 1) = K(w \ K(y * (x \ z),u),v5). [hyper(286,a,16029,a(flip),b,20461,a),flip(a)]. 20463 K(x \ K((y \ z) * u,w),v5) = K(x \ K(z * (y \ u),w),v5). [hyper(16031,a,20462,a)]. 20464 K(K((x \ y) * z,u) * w,T(v5,v6)) = K(K(y * (x \ z),u) * w,T(v5,v6)). [hyper(9076,a,20460,a),flip(a)]. 20465 T(K(K(x * (y \ z),u) * w,T(v5,v6)),v6) = K(K((y \ x) * z,u) * w,v5). [para(20464(a,1),8144(a,1,1))]. 20466 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x \ z),u) * w,v5). [hyper(8247,a,20465,a),flip(a)]. 20467 K(K((x \ 1) * (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). [hyper(17564,a,20466,a),flip(a)]. 20468 K(K(x * (y \ z),u) * w,v5) = K(K(z * (y \ x),u) * w,v5). [hyper(15479,a,20466,a)]. 20470 (x * K(K(y * (z \ u),w) * v5,v6)) \ x = K(v6,K((y / z) * u,w) * v5). [para(20466(a,1),16128(a,1,1,2))]. 20471 K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(K((y \ x) * z,T(u,w)) * v5,v6). [para(12091(a,1),20468(a,1,1,1)),flip(a)]. 20472 K(K(x \ (y \ z),u) * w,v5) = K(K(u,y * (z \ x)) * w,v5). [para(13495(a,1),20467(a,1,1,1))]. 20473 K(K(x \ (y * (z \ u)),w) * v5,v6) = K(K(w,z * (u \ (y \ x))) * v5,v6). [hyper(18420,a,20472,a)]. 20474 K(K(x,y \ (z * u)) * w,v5) = K(K(x,z * (y \ u)) * w,v5). [hyper(17134,a,20472,a)]. 20475 K(K(x,(y \ z) \ u) * w,v5) = K(K(x,y * (z \ u)) * w,v5). [hyper(16050,a,20472,a)]. 20476 K(K(x,y * (z \ u)) * ((w * v5) \ w),v6) = K(v5 \ K(x,z \ (y * u)),v6). [hyper(17592,a,20474,a),flip(a)]. 20477 K(K(x,y * (z \ u)) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,(y \ z) \ u)),v6). [hyper(62,a,17087,a(flip),b,20475,a),flip(a)]. 20478 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y \ u)) * w,v5). [para(20086(a,1),20475(a,1,1,1))]. 20479 K(x * K((y \ T(z,u)) * w,v5),v6) = K(K(v5,z * (y \ w)) * x,v6). [hyper(19099,a,20478,a)]. 20480 K(K(x,(y \ 1) * (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). [hyper(17566,a,20478,a),flip(a)]. 20481 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,u * ((z \ 1) \ y)) * w,v5). [hyper(62,a,19032,a,b,20478,a)]. 20482 K(K(x,y * (z \ u)) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K((T(y,v7) / T(z,y)) * u,x)),v6). [hyper(17878,a,20479,a),flip(a)]. 20483 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,(u \ y) * z) * w,v5). [para(13501(a,1),20480(a,1,1,1))]. 20484 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,y * (u \ z)) * w,v5). [hyper(286,a,20478,a(flip),b,20483,a),flip(a)]. 20485 K(K(x,(y * z) \ u) * w,v5) = K(K(x,z * (u \ y)) * w,v5). [hyper(17110,a,20484,a)]. 20486 K(K(x,(y * z) \ u) * (w * (v5 \ 1)),v6) = K(w * (v5 \ K(x,z * (u \ y))),v6). [hyper(286,a,17087,a(flip),b,20485,a),flip(a)]. 20487 K(x,K((y / z) * u,w) * v5) = K(x,K(y * (z \ u),w) * v5). [hyper(15158,a,20470,a),flip(a)]. 20489 K(x,K(y * ((z \ 1) \ u),((u \ w) \ y) * z) * v5) = K(x,K(u * (y / (z \ 1)),w) * v5). [hyper(62,a,20094,a(flip),b,20487,a),flip(a)]. 20490 K(K(x,y * (z \ (y \ u))) * w,v5) = K(K(u \ z,x) * w,v5). [para(10(a,1),20473(a,1,1,1,1,2)),flip(a)]. 20491 K(x * K(y \ L(z,u \ 1,u),w),v5) = K(K(y \ z,w) * x,v5). [hyper(62,a,18634,a,b,20490,a)]. 20492 K(K(x \ y,z) * (u \ w),T(v5,w)) = K(w * (u \ K(x \ R(y,v6 \ 1,v6),z)),v5). [hyper(17924,a,20491,a),flip(a)]. 20495 K(x \ K(y,z \ (u * w)),v5) != v6 | K(x \ K(y,u * (z \ w)),v5) = v6. [para(20476(a,1),17592(a,1))]. 20496 K(K(((x * y) * z) * u,x) * w,v5) = K(K(x,(u * z) * y) * w,v5). [hyper(286,a,17085,a(flip),b,20481,a),flip(a)]. 20497 K(K(R(x,y,z),u * T(y * z,w)) * v5,v6) = K(K(x,(u * z) * y) * v5,v6). [hyper(62,a,18705,a,b,20496,a)]. 20498 K(K(x,L(y * T(z * u,w),z,u)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). [para(14364(a,1),20497(a,1,1,1))]. 20499 K(K(x,y * T(z * u,w)) * v5,v6) = K(K(x,(y * u) * z) * v5,v6). [hyper(17079,a,20498,a)]. 20501 K(K(x,(y * z) * u) * w,v5) = K(K(x,y * (u * z)) * w,v5). [hyper(62,a,18622,a(flip),b,20499,a),flip(a)]. 20502 K(K(x,y * (z * T(u,w))) * v5,v6) = K(K((y * u) * z,x) * v5,v6). [hyper(62,a,17101,a(flip),b,20501,a),flip(a)]. 20503 K(K((x * y) * z,u) * w,v5) = K(K(x * (z * y),u) * w,v5). [hyper(62,a,16130,a(flip),b,20502,a),flip(a)]. 20504 K(x * K((y * T(z,u)) * w,v5),v6) = K(K(y * (w * z),v5) * x,v6). [hyper(17153,a,20503,a)]. 20505 K(K(x * (y * z),u) * (w \ v5),T(v6,v5)) = K(v5 * (w \ K(K(z,v7) * ((x * z) * y),u)),v6). [hyper(17871,a,20504,a),flip(a)]. 20506 K(x * (y \ K(z,(u \ w) \ v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). [hyper(62,a,17087,a(flip),b,20477,a),flip(a)]. 20507 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,(v5 * w) * (v5 \ u))),v6). [hyper(62,a,17139,a(flip),b,20506,a)]. 20508 K(x * (y \ K(z,(u * w) \ v5)),v6) = K(x * (y \ K(z,w * (v5 \ u))),v6). [hyper(62,a,17087,a(flip),b,20486,a)]. 20509 K(x * (y \ K(z,u \ (w \ v5))),v6) = K(x * (y \ K(z,u * (v5 \ w))),v6). [hyper(62,a,19820,a(flip),b,20508,a)]. 20510 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * (v5 \ (v5 * w)))),v6). [hyper(62,a,17814,a,b,20509,a)]. 20511 K(x * (y \ K(z \ R(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [hyper(17482,a,20492,a),flip(a)]. 20512 K(x * (y \ K(z \ L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [para(17923(a,1),20511(a,1,1,2,2))]. 20513 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,z \ u)),v6). [hyper(18698,a,20512,a)]. 20514 K(K(x * (y \ z),T(T(u,y \ x),w)) * v5,v6) = K(v5 * K(u,(y \ x) * z),v6). [hyper(286,a,16014,a(flip),b,20471,a),flip(a)]. 20515 K(x * K(T(y,z \ u),u * (z \ w)),v5) = K(x * K(y,(z \ u) * w),v5). [hyper(16026,a,20514,a)]. 20517 K(x * K(y,(z \ u) * w),v5) = K(x * K(y,u * (z \ w)),v5). [hyper(15481,a,20515,a),flip(a)]. 20519 K(x * K(y,(z / u) * w),v5) = K(x * K(y,z * (u \ w)),v5). [hyper(62,a,16132,a(flip),b,20517,a)]. 20520 K((x \ y) * K(z,u * (w \ v5)),T(v6,y)) = K(y * (x \ K(z,T(w \ u,w) * v5)),v6). [hyper(17512,a,20519,a),flip(a)]. 20521 K(x * (y \ K(z,T(u \ w,u) * v5)),v6) = K(x * (y \ K(z,w * (u \ v5))),v6). [hyper(17475,a,20520,a),flip(a)]. 20522 K(x * (y \ K(z,(u / w) * v5)),v6) = K(x * (y \ K(z,u * (w \ v5))),v6). [para(14736(a,1),20521(a,1,1,2,2))]. 20523 K(x * (y \ K(z * ((u \ 1) * w),v5)),v6) = K(x * (y \ K(v5,z * (u \ w))),v6). [hyper(62,a,17798,a,b,20522,a)]. 20524 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,u * w)),v6). [para(9(a,1),20510(a,2,1,2,2,2,2))]. 20525 K(x * (y \ K((T(z,u) / T(w,z)) * v5,v6)),v7) = K(x * (y \ K(z * (w \ v5),v6)),v7). [hyper(17482,a,20482,a),flip(a)]. 20526 K(x * (y \ K((z \ T(u,w)) * v5,v6)),v7) = K(x * (y \ K(u * (z \ v5),v6)),v7). [para(17876(a,1),20525(a,1,1,2,2))]. 20527 K(x * (y \ K((z \ u) * w,v5)),v6) = K(x * (y \ K(u * (z \ w),v5)),v6). [para(107(a,1),20526(a,1,1,2,2,1,1,2))]. 20528 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(w * ((u \ 1) \ z),y)),v6). [hyper(62,a,20440,a,b,20527,a)]. 20529 K(x * (y \ K(((z \ 1) \ u) * (z \ w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [hyper(62,a,20204,a(flip),b,20527,a),flip(a)]. 20530 K(x,K(((y \ z) \ u) * w,(u * w) * y) * v5) = K(x,K(y * (u / (w \ 1)),z) * v5). [hyper(18572,a,20489,a)]. 20531 K(x,K(y * (z / (u \ 1)),w) * v5) = K(x,K((z * u) * y,w) * v5). [hyper(62,a,20437,a(flip),b,20530,a),flip(a)]. 20532 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (z * u),w) * v5). [hyper(62,a,17188,a(flip),b,20531,a),flip(a)]. 20533 K(x,y * (K((z * T(u,w)) * v5,v6) * v7)) = K(x,K(z * (u * v5),v6) * (y * v7)). [hyper(62,a,17866,a,b,20532,a)]. 20534 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (T(y,K(z,u * w)) * v6)). [hyper(62,a,16353,a(flip),b,20533,a)]. 20535 K(x * (y \ K(K(z,u) * ((w * z) * v5),v6)),v7) = K(x * (y \ K(v6,w * (v5 * z))),v7). [hyper(17482,a,20505,a),flip(a)]. 20536 K(x * (y \ K(z,(u * w) * v5)),v6) = K(x * (y \ K(z,u * (v5 * w))),v6). [hyper(62,a,18459,a(flip),b,20535,a)]. 20537 K(x * (y \ K(z,u \ L(w \ 1,w,v5))),v6) = K(x * (y \ K(z,v5 * ((v5 \ u) * w))),v6). [hyper(62,a,20507,a,b,20536,a)]. 20538 K(x * (y \ K(z * ((u \ 1) \ w),v5)),v6) = K(x * (y \ K(v5,z * (w * u))),v6). [hyper(62,a,18560,a,b,20536,a)]. 20540 K(x * (y \ K(z,u * ((u \ w) * v5))),v6) = K(x * (y \ K(z,w * v5)),v6). [hyper(62,a,20524,a(flip),b,20537,a),flip(a)]. 20543 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,K(u * (w * z),y) * (y * v6)). [hyper(286,a,15443,a(flip),b,20534,a),flip(a)]. 20545 K(x,T(y,z * (u * T(w,v5))) * v6) = K(x,T(y,u * (w * z)) * v6). [hyper(286,a,14724,a(flip),b,20543,a),flip(a)]. 20546 K(x,T(y,(z * u) * w) * v5) = K(x,T(y,z * (u * w)) * v5). [hyper(62,a,20415,a(flip),b,20545,a)]. 20547 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,T(u,v6) * (w * v5)) * y). [para(20546(a,1),17091(a,2,2))]. 20548 K(x * (y \ K((z * u) * ((z \ 1) * w),v5)),v6) = K(x * (y \ K(u * L(w,z \ 1,z),v5)),v6). [para(18733(a,1),20529(a,1,1,2,2))]. 20549 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,(w * z) * (w \ u))),v6). [hyper(62,a,20523,a(flip),b,20548,a),flip(a)]. 20550 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,w * ((w \ u) * z))),v6). [hyper(286,a,20536,a(flip),b,20549,a),flip(a)]. 20551 K(x * (y \ K(z * L(u,w \ 1,w),v5)),v6) = K(x * (y \ K(v5,u * z)),v6). [hyper(286,a,20540,a(flip),b,20550,a),flip(a)]. 20553 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(62,a,20513,a(flip),b,20551,a)]. 20554 K(a(x,y,x) * (z \ K(u,w * v5)),v6) = K(z \ K(u,v5 \ w),v6). [hyper(13175,a,20553,a),flip(a)]. 20555 K(x \ K(y,z \ u),w) = K(x \ K(y,u * z),w). [hyper(17259,a,20554,a),flip(a)]. 20556 K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w \ u)),v5). [hyper(20495,a,20555,a),flip(a)]. 20557 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,K(y,z)) * K(x,T(z,u * (w * v5)) * y). [para(18669(a,1),20547(a,2,2))]. 20558 K(x,y * T(z,(u * w) * (v5 * K(u,v6)))) = K(x,y * T(z,u * (w * v5))). [hyper(286,a,15344,a(flip),b,20557,a),flip(a)]. 20560 K(x,y * T(z,(u * w) * v5)) = K(x,y * T(z,u * (w * v5))). [para(167(a,1),20558(a,1,2,2,2,2))]. 20561 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(K(y,K(v5,z * (w * u))) * (x \ K(y,w * (z * u))),v6). [hyper(286,a,20538,a(flip),b,20528,a),flip(a)]. 20562 K(x \ (K(y,K(z,u * w)) * T(K(z * ((u \ 1) \ w),y),v5)),v6) = K(x \ K(y,w * (z * u)),v6). [hyper(286,a,15359,a(flip),b,20561,a),flip(a)]. 20564 K(x \ (K(y,K(z,u * w)) * T(K(y * ((u \ 1) \ w),z),v5)),v6) = K(x \ K(z,w * (y * u)),v6). [para(8056(a,1),20562(a,1,1,2,1))]. 20565 K(x \ T(K(y * ((z \ 1) \ u),w) * K(y,K(w,z * u)),v5),v6) = K(x \ K(w,u * (y * z)),v6). [para(15333(a,2),20564(a,1,1,2))]. 20566 K(x \ T(K(((y \ 1) \ z) * u,w),v5),v6) = K(x \ K(w,z * (u * y)),v6). [para(12166(a,1),20565(a,1,1,2,1))]. 20567 K(x \ K(((y \ 1) \ z) * u,w),v5) = K(x \ K(w,z * (u * y)),v5). [hyper(8876,a,20566,a)]. 20568 K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,y * (u * z)),v5). [hyper(62,a,20463,a(flip),b,20567,a)]. 20569 ((x * y) * K(z,T(u,y))) \ (L(x * K(w,v5),y,K(z,u)) * (K(v5,w) * (K(z,u) * y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(19254(a,2),18408(a,1,2,1))]. 20570 ((x * y) * K(z,T(u,y))) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,T(u,y))) = a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)). [para(19939(a,1),20569(a,1,2))]. 20571 K(x,T(y,K(z,u) * (w * (v5 * K(z,u))))) * (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) = (((w \ K(u,z)) \ 1) * (K(u,T(z,w)) * v5)) * K(x,y). [para(18799(a,1),18318(a,1,1,2))]. 20572 K(x,T(y,z * u)) * (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) = (((z \ K(w,v5)) \ 1) * (K(w,T(v5,z)) * u)) * K(x,y). [para(17287(a,1),20571(a,1,1,2))]. 20573 K(x,T(y,z * u)) * ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). [para(13620(a,1),20572(a,1,2,1))]. 20575 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = (((z \ K(v5,w)) \ 1) * (K(v5,T(w,z)) * u)) * K(x,y). [para(11415(a,1),20573(a,1,2))]. 20576 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((K(w,v5) * z) * (K(v5,T(w,z)) * u)) * K(x,y). [para(13620(a,1),20575(a,2,1,1))]. 20577 K(x,T(y,z * u)) * ((z * K(w,v5)) * (K(v5,w) * u)) = ((z * K(w,v5)) * (K(v5,w) * u)) * K(x,y). [para(11415(a,1),20576(a,2,1))]. 20578 ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = L(a(x,K(w,v5),K(v5,w) * y),x * y,K(z,u)). [para(20577(a,1),16889(a,1,2))]. 20579 ((x * y) * K(z,u)) \ (((x * K(w,v5)) * (K(v5,w) * y)) * K(z,u)) = a(x,K(w,v5),K(v5,w) * y). [hyper(286,a,18110,a(flip),b,20578,a),flip(a)]. 20581 a(L(x,y,K(z,u)),K(w,v5),K(v5,w) * (K(z,u) * y)) = a(x,K(w,v5),K(v5,w) * y). [hyper(62,a,20570,a(flip),b,20579,a)]. 20583 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K((x \ K(K(y,z * u),w)) * K(((z \ 1) \ u) * y,w),v5). [para(13630(a,1),15654(a,2,1))]. 20584 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)) * K(w \ u,w),y). [hyper(286,a,17380,a(flip),b,16884,a),flip(a)]. 20585 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = a(x,K(z,u),y). [hyper(286,a,18110,a(flip),b,19113,a),flip(a)]. 20587 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),x * y))) = a(x,K(z,u),y). [para(8930(a,1),20585(a,1,2,2))]. 20588 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(7712(a,1),20587(a,1,2,2))]. 20590 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,y))) = a(x,K(z,u),y). [para(11778(a,1),20588(a,1,2,2))]. 20591 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,x),y,x),T(z,y))) = a(x,K(z,T(u,x)),y). [para(7736(a,1),20590(a,1,2,1,1))]. 20592 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,T(u,x)),y). [para(7791(a,1),20591(a,1,2,2))]. 20593 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,u),y). [hyper(286,a,19035,a(flip),b,20592,a),flip(a)]. 20595 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,y),x),y,x))) = a(x,K(z,u),y). [para(11780(a,1),20593(a,1,2,2))]. 20596 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,y),x)))) = a(x,K(z,u),y). [para(19211(a,1),20595(a,1,2))]. 20597 (x * y) \ ((K(z,u) * x) * (K(u,T(z,x)) * y)) = a(x,K(z,u),y). [para(7766(a,1),20596(a,1,2,2))]. 20598 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(11415(a,1),20597(a,1,2))]. 20599 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(5874,a,20598,a)]. 20600 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(62,a,11464,a(flip),b,20599,a)]. 20601 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(5846(a,1),20600(a,1,1,1))]. 20602 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(17206(a,1),20601(a,1,2,1))]. 20603 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(5846(a,1),20602(a,1,2,2,1))]. 20604 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(17369(a,1),20603(a,1,2))]. 20605 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(16733(a,1),20604(a,1,2))]. 20606 a(x,K(y,z),K(z,y) * u) = a(u,K(z,y),x). [hyper(5874,a,20605,a)]. 20607 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(62,a,20598,a(flip),b,20605,a)]. 20608 a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). [hyper(286,a,19312,a,b,20607,a)]. 20609 a(T(x,y),K(z,u),w) = a(w,K(u,z),x). [hyper(286,a,19312,a(flip),b,20607,a),flip(a)]. 20610 a(T(x,y),K(z,u),w) = a(x,K(z,u),w). [hyper(62,a,20607,a,b,20608,a)]. 20611 a(L(x,y,K(z,u)),K(w,v5),v6) = a(v6,K(v5,w),x). [para(18098(a,2),20609(a,1,1))]. 20612 (T(x,y) * (z * K(u,w))) \ ((T(x,y) * K(u,T(w,z))) * z) = a(x,K(u,w),z). [hyper(62,a,19039,a,b,20610,a)]. 20613 a(K(x,y) * (K(z,u) * w),K(x,y),v5) = a(v5,K(y,x),K(x,y) * w). [hyper(62,a,20581,a(flip),b,20611,a),flip(a)]. 20615 (T(x,y) * (z * K(u,w))) \ (L(T(x,y),K(u,w),z) * (z * K(u,w))) = a(x,K(u,w),z). [para(17215(a,2),20612(a,1,2))]. 20616 ((x * K(y,z)) * T(u,w)) \ (x * (K(y,z) * T(u,w))) = a(u,K(y,z),x). [hyper(62,a,13841,a(flip),b,20615,a)]. 20617 ((x * K(y,z)) * u) \ (T(x,u) * (K(y,z) * T(u,x))) = a(u,K(y,z),T(x,u)). [para(15272(a,1),20616(a,1,1))]. 20618 ((x * K(y,z)) * u) \ T(x * (K(y,z) * u),K(x,u)) = a(u,K(y,z),T(x,u)). [para(8635(a,2),20617(a,1,2))]. 20619 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). [para(15244(a,1),20618(a,1,2))]. 20620 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(x,K(z,y),u). [hyper(286,a,20608,a(flip),b,20619,a),flip(a)]. 20622 a(x / K(y,z),K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(62,a,7482,a,b,20620,a)]. 20623 a(x * K(y,z),K(y,z),u) = a(x,K(y,z),K(z,y) * u). [para(11(a,1),20622(a,1,1)),flip(a)]. 20624 a(K(x,y) * z,K(x,y),u) = a(z,K(x,y),K(y,x) * u). [hyper(62,a,17938,a,b,20623,a)]. 20625 a(K(x,y) * z,K(u,w),K(w,u) * v5) = a(v5,K(w,u),K(u,w) * z). [hyper(62,a,20613,a(flip),b,20624,a),flip(a)]. 20626 a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),K(z,y) * v5). [hyper(62,a,20606,a(flip),b,20625,a)]. 20640 a(x,K(y,z),K(u,w) * v5) = a(v5,K(z,y),x). [hyper(286,a,20606,a(flip),b,20626,a),flip(a)]. 20649 a(x,K(y,z),u * ((K(w,v5) * u) \ v6)) = a(v6,K(z,y),x). [para(18852(a,1),20640(a,1,3))]. 20654 L(x \ L(x,K(y,z),u * ((K(y,z) * u) \ w)),x,w * a(y,u,K(w \ u,z))) = a(w,K(z,y),x). [hyper(62,a,20213,a,b,20649,a)]. 20656 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(((z \ 1) \ u) * y,w)),v5). [hyper(286,a,17474,a(flip),b,20583,a),flip(a)]. 20657 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(w,u) * (((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * u)),y). [hyper(286,a,16016,a(flip),b,20584,a),flip(a)]. 20658 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (((w \ u) * w) * z)) \ (z * T(u,w)),y). [hyper(286,a,17445,a(flip),b,20657,a),flip(a)]. 20659 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(((x \ K(z,u)) * (T(u,w) * z)) \ (z * T(u,w)),y). [hyper(286,a,17595,a(flip),b,20658,a),flip(a)]. 20660 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(T(u,w),z),T(y,T(u,w) * z)). [hyper(286,a,19447,a(flip),b,20659,a),flip(a)]. 20661 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K((x \ K(z,u)) \ K(u,T(z,w)),T(y,T(u,w) * z)). [para(7777(a,1),20660(a,2,1,2))]. 20662 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,T(u,w) * z)). [para(16766(a,1),20661(a,2,1))]. 20663 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,T(z,w))),T(y,u * z)). [hyper(286,a,15747,a(flip),b,20662,a),flip(a)]. 20665 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(K(u,z) * (x * K(u,z)),T(y,u * z)). [hyper(286,a,15449,a(flip),b,20663,a),flip(a)]. 20667 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T((x * K(u,z)) / z,u),y). [hyper(286,a,20198,a(flip),b,20665,a),flip(a)]. 20668 K(x,L(T(y,K(z,u) * (((w \ u) * w) * z)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). [para(6613(a,1),20667(a,2,1,2,1))]. 20669 K(x,L(T(y,K(z \ u,z) * (w * u)),K(w,u),((z \ u) * z) * w)) = K(w * T(x / T(w,u),u),y). [para(16870(a,1),20668(a,1,2,1,2))]. 20670 K(x,L(T(y,K(z,u) * (w * z)),K(w,z),((u \ z) * u) * w)) = K(w * T(x / T(w,z),z),y). [para(14748(a,1),20669(a,1,2,1))]. 20671 K(x,L(T(y,z * T(u,w)),K(z,u),((w \ u) * w) * z)) = K(z * T(x / T(z,u),u),y). [para(15104(a,1),20670(a,1,2,1))]. 20672 K(x * T(y / T(x,z),z),u) = K(y,T(u,x * T(z,w))). [hyper(17373,a,20671,a),flip(a)]. 20674 K(x * T(y / T(x,z),z),u) = K(y,T(u,x * z)). [hyper(286,a,15749,a(flip),b,20672,a),flip(a)]. 20675 (x \ K(y * T(z / T(y,u),u),w)) \ (x \ 1) = K(w,T(z,u \ y)). [para(20674(a,2),14963(a,1,1,2))]. 20676 (x \ K(T(y,z) * T(u / y,z),w)) \ (x \ 1) = K(w,T(u,z \ y)). [para(19194(a,2),20675(a,1,1,2))]. 20677 K(x,T(y,z) * T(u / y,z)) = K(x,T(u,z \ y)). [hyper(13581,a,20676,a)]. 20678 K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),(y * z) * w)) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [para(455(a,2),20677(a,2,2,2))]. 20679 K(x,T(y * (z * u),(y * z) * w) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [hyper(62,a,20560,a(flip),b,20678,a)]. 20680 K(x,T(y * (z * u),y * (z * w)) * T(v5 / (y * (z * u)),y * (z * w))) = K(x,T(v5,L(w \ L(u,z,y),w,y * z))). [hyper(62,a,20546,a(flip),b,20679,a)]. 20681 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * z)) \ (v5 * (w * u)))). [hyper(62,a,20677,a(flip),b,20680,a),flip(a)]. 20682 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(v5 * (w * u)) * (v5 * (w * z)))). [hyper(286,a,14952,a(flip),b,20681,a),flip(a)]. 20683 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,v5 * ((w * u) * (v5 * (w * z))))). [hyper(286,a,18992,a(flip),b,20682,a),flip(a)]. 20684 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,(w * u) * (w * z))). [hyper(286,a,18998,a(flip),b,20683,a),flip(a)]. 20686 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,w * (u * (w * z)))). [hyper(286,a,18992,a(flip),b,20684,a),flip(a)]. 20687 K(x,T(y,L(z \ L(u,w,v5),z,v5 * w))) = K(x,T(y,u * z)). [hyper(286,a,18998,a(flip),b,20686,a),flip(a)]. 20689 K(x,T(y,z \ L(u,w,v5))) = K(x,T(y,u * z)). [hyper(62,a,16717,a(flip),b,20687,a)]. 20690 K(x,T(y,L(z,u,w) * v5)) = K(x,T(y,z * v5)). [hyper(14964,a,20689,a)]. 20692 K(x,K(y,L(z,u,w) * v5)) = K(x,y) * K(y,T(x,z * v5)). [para(20690(a,1),8082(a,1,2)),flip(a)]. 20693 K(x,K(y,L(z,u,w) * v5)) = K(x,K(y,z * v5)). [hyper(286,a,8082,a(flip),b,20692,a),flip(a)]. 20695 K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,20240,a(flip),b,20693,a),flip(a)]. 20698 K(x,K(y,z * ((u \ w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(62,a,19021,a,b,20695,a)]. 20699 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * (1 * z)))). [para(20698(a,1),19106(a,2,2))]. 20700 K(x,((((y \ 1) * z) \ u) * a(w,v5,w)) \ v6) = K(x,v6 / (((y \ 1) * z) \ u)) * K(x,K(v6,u * (y * z))). [para(7(a,1),20699(a,2,2,2,2,2,2))]. 20701 K(x,y / (((z \ 1) * u) \ w)) * K(x,K(y,w * (z * u))) = K(x,(((z \ 1) * u) \ w) \ y). [hyper(62,a,20120,a(flip),b,20700,a),flip(a)]. 20702 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(K(w,K(y,z * u)) * (x \ K(w,(y * z) * u)),v5). [hyper(286,a,18615,a(flip),b,20656,a),flip(a)]. 20703 K(x \ K(y * ((z \ 1) \ u),w),L(v5,K(y * ((z \ 1) \ u),w),K(w,K(y,z * u)))) = K(x \ K(w,(y * z) * u),v5). [hyper(286,a,15359,a(flip),b,20702,a),flip(a)]. 20704 K(x \ K(y * ((z \ 1) \ u),w),v5) = K(x \ K(w,(y * z) * u),v5). [hyper(18104,a,20703,a)]. 20708 K(x \ K(y,(z * u) * w),v5) = K(x \ K(y,z * (w * u)),v5). [hyper(62,a,20568,a(flip),b,20704,a),flip(a)]. 20709 K(x \ K(y,z * (u \ w)),v5) = K(x \ K(y,z * (u * w)),v5). [hyper(62,a,20556,a(flip),b,20708,a)]. 20710 K(x \ K(y,z * (y * u)),(y \ z) * u) = K(x,((y \ z) * u) \ 1). [hyper(19849,a,20709,a),flip(a)]. 20711 K(x \ K(y,z * (y * u)),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). [hyper(13865,a,20709,a),flip(a)]. 20712 K(x \ K(y,z * u),(y \ z) * u) = K(x,((y \ z) * u) \ 1). [hyper(17149,a,20710,a)]. 20714 K(x \ K(y,z * u),(y \ z) * u) != w | K(x,u \ ((y \ z) \ 1)) = w. [para(20712(a,2),13749(a,1))]. 20715 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(((y \ 1) * z) * u) \ 1). [hyper(17149,a,20711,a)]. 20716 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,(u \ 1) * ((z \ 1) * y)). [para(6420(a,1),20715(a,2,2))]. 20717 K(x \ K(y,z * u),((y \ 1) * z) * u) = K(x,u \ ((z \ 1) * y)). [hyper(286,a,13501,a(flip),b,20716,a),flip(a)]. 20718 K(x \ K(y,z * u),(z \ y) \ u) = K(x,u \ ((z \ 1) * y)). [hyper(62,a,20063,a(flip),b,20717,a)]. 20719 K(x \ K(y,z * u),(y \ z) * u) = K(x,u \ ((z \ 1) * y)). [hyper(62,a,20086,a(flip),b,20718,a)]. 20720 K(x,y \ ((z \ u) \ 1)) = K(x,y \ ((u \ 1) * z)). [hyper(20714,a,20719,a)]. 20721 K(x,y \ ((z \ u) \ 1)) = K(x,y \ (u \ z)). [hyper(286,a,20053,a(flip),b,20720,a),flip(a)]. 20722 K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,((y \ u) \ z) \ (u \ (y * z))). [hyper(62,a,13790,a(flip),b,20721,a)]. 20723 K(x,((y * z) \ u) \ (((y \ u) \ z) \ 1)) = K(x,(z \ (y \ u)) * (u \ (y * z))). [hyper(286,a,20086,a(flip),b,20722,a),flip(a)]. 20724 K(x,((y * z) \ u) \ (z \ (y \ u))) = K(x,(z \ (y \ u)) * (u \ (y * z))). [hyper(62,a,20721,a(flip),b,20723,a)]. 20726 K(x,(y \ (z \ u)) * (u \ (z * y))) != w | a(z,y,K(x,y \ u)) = w. [para(20724(a,1),14492(a,1))]. 20727 K(x,K(y,(z \ u) * K(T(w,v5),v6))) * K(x,y * (((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1))) = K(x,(((K(v6,w) * z) \ u) \ (K(v6,K(w,v5)) \ 1)) * y). [para(18290(a,1),16934(a,1,1,2))]. 20728 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(15803(a,1),20727(a,1,1))]. 20729 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) * 1))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(8099(a,1),20728(a,1,2,2,2,2))]. 20731 K(x,K(y,z \ u)) * K(x,y * (((K(w,v5) * z) \ u) \ K(w,K(v5,v6)))) = K(x,(((K(w,v5) * z) \ u) \ (K(w,K(v5,v6)) \ 1)) * y). [para(8(a,1),20729(a,1,2,2,2,2))]. 20732 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 * (((K(y,T(z,v5)) * u) \ w) \ 1)). [para(16933(a,1),20731(a,1,2,2,2)),flip(a)]. 20733 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / ((K(y,T(z,v5)) * u) \ w)). [para(13554(a,1),20732(a,2,2))]. 20734 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(T(z,v5),y) * w))). [para(18139(a,1),20733(a,2,2))]. 20735 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (K(z,T(y,v5)) * w))). [para(7777(a,1),20734(a,2,2,2,2,2,1))]. 20736 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) \ 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(18784(a,1),20735(a,2,2))]. 20737 K(x,(((K(y,z) * u) \ w) \ (K(y,K(z,v5)) * 1)) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(8099(a,1),20736(a,1,2,1,2))]. 20739 K(x,(((K(y,z) * u) \ w) \ K(y,K(z,v5))) * v6) = K(x,K(v6,u \ w)) * K(x,v6 / (u \ (w * K(y,z)))). [para(8(a,1),20737(a,1,2,1,2))]. 20740 K(x,(((K(y,T(z,u)) * w) \ v5) \ 1) * v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). [para(16933(a,1),20739(a,1,2,1))]. 20741 K(x,((K(y,T(z,u)) * w) \ v5) \ v6) = K(x,K(v6,w \ v5)) * K(x,v6 / (w \ (v5 * K(y,z)))). [hyper(13560,a,20740,a)]. 20742 K(x,(y \ (K(T(z,u),w) * v5)) \ v6) = K(x,K(v6,y \ v5)) * K(x,v6 / (y \ (v5 * K(w,z)))). [hyper(62,a,18155,a(flip),b,20741,a)]. 20743 K(x,K(y,z \ u)) * K(x,y / (z \ (u * K(w,v5)))) = K(x,(z \ (K(v5,w) * u)) \ y). [para(107(a,1),20742(a,1,2,1,2,1,1)),flip(a)]. 20744 K(x,(K(y,L(z,u,w \ 1)) \ ((w \ u) \ 1)) * v5) = K(x,(w \ (K(z,y) * u)) \ v5). [hyper(62,a,18897,a(flip),b,20743,a)]. 20745 K(x,(K(L(y,z,u \ 1),w) * ((u \ z) \ 1)) * v5) = K(x,(u \ (K(y,w) * z)) \ v5). [para(5839(a,1),20744(a,1,2,1))]. 20746 K(x,(K(y,L(z,u,w \ 1)) * ((w \ u) \ 1)) * v5) = K(x,(w \ (K(y,z) * u)) \ v5). [para(11780(a,1),20745(a,1,2,1,1))]. 20747 K(x,((y \ (z * K(u,w))) \ 1) * v5) = K(x,(y \ (K(w,u) * z)) \ v5). [para(18487(a,1),20746(a,1,2,1))]. 20748 K(x,(y \ (K(z,u) * w)) \ v5) = K(x,(y \ (w * K(u,z))) \ v5). [hyper(13560,a,20747,a),flip(a)]. 20749 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) \ v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [hyper(18104,a,16355,a),flip(a)]. 20751 K(x,(y * K(z,K(u,w))) / (T(K(z,K(u,w)) * v5,v6) * K(z,K(u,w)))) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(8099(a,1),20749(a,1,2,2,1,1))]. 20752 K(x,(y * K(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(15317(a,2),20751(a,1,2,2))]. 20753 K(x,(y * K(z,K(u,w))) / T(v5,v6)) = K(x,y / T(v5 * K(z,K(u,w)),v6)). [para(15200(a,1),20752(a,1,2,2,1))]. 20754 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,(y / T(z,v6)) * K(u,K(w,v5))). [para(16802(a,1),20753(a,1,2)),flip(a)]. 20755 K(x,y / T(z * K(u,K(w,v5)),v6)) = K(x,y / T(z,v6)). [hyper(286,a,15393,a(flip),b,20754,a),flip(a)]. 20757 K(x,L((y \ z) / T(u * K(z,K(w,v5)),v6),T(u / K(z,K(w,v5)),v6),K(z,K(w,v5)))) = K(x,(y \ T(z,K(w,v5))) / (K(z,K(w,v5)) * T(K(z,K(w,v5)) \ u,v6))). [para(8107(a,1),14595(a,1,2,1,2,1))]. 20758 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5 * K(z,K(u,w)),v6)). [hyper(18104,a,20757,a),flip(a)]. 20760 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) \ v5,v6))) = K(x,(y \ z) / T(v5,v6)). [hyper(286,a,20755,a(flip),b,20758,a),flip(a)]. 20762 K(x,(y \ T(z,K(u,w))) / (K(z,K(u,w)) * T(K(z,K(u,w)) * v5,v6))) = K(x,(y \ z) / T(v5,v6)). [para(8099(a,1),20760(a,1,2,2,2,1))]. 20763 K(x,(y \ T(z,K(u,w))) / T((K(z,K(u,w)) * v5) * K(z,K(u,w)),v6)) = K(x,(y \ z) / T(v5,v6)). [para(15333(a,2),20762(a,1,2,2))]. 20764 K(x,(y \ T(z,K(u,w))) / T(v5,v6)) = K(x,(y \ z) / T(v5,v6)). [para(15200(a,1),20763(a,1,2,2,1))]. 20765 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,(z \ u) / T(y,z \ u)). [hyper(62,a,15388,a(flip),b,20764,a)]. 20767 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [hyper(286,a,13096,a(flip),b,20765,a),flip(a)]. 20768 K(x,T(y,z) \ (u \ (T(y,z) * w))) = K(x,y \ (u \ (y * w))). [hyper(62,a,20335,a,b,20767,a)]. 20770 K(x,K(y,L(z,u,w \ 1)) \ ((w \ u) \ v5)) = K(x,(w \ (u * K(y,z))) \ v5). [hyper(17365,a,18243,a),flip(a)]. 20771 K(x,K(L(y,z,u \ 1),w) * ((u \ z) \ v5)) = K(x,(u \ (z * K(w,y))) \ v5). [para(5839(a,1),20770(a,1,2))]. 20772 K(x,(y \ (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y \ z) \ v5)). [hyper(17092,a,20771,a),flip(a)]. 20775 K(x,(y \ (K(z,u) * w)) \ v5) = K(x,K(z,u) * ((y \ w) \ v5)). [hyper(62,a,20748,a,b,20772,a)]. 20776 K(x,K(y,L(z,u,w)) * ((T(w,K(y,z) * u) \ u) \ v5)) = K(x,(K(y,z) * (u / w)) \ v5). [hyper(62,a,18843,a(flip),b,20775,a),flip(a)]. 20777 K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,((K(y,z) * w) / u) \ v5). [hyper(62,a,18840,a(flip),b,20775,a),flip(a)]. 20778 K(x,K(y,z) * ((T(u,K(y,z) * w) \ w) \ v5)) = K(x,(K(y,z) * (w / u)) \ v5). [hyper(17042,a,20776,a)]. 20780 K(x,((K(y,z) * u) / w) \ v5) = K(x,(K(y,z) * (u / w)) \ v5). [hyper(62,a,20777,a(flip),b,20778,a)]. 20781 K(x,((K(y,z) * u) / w) \ v5) = K(x,((u / w) \ v5) * K(z,y)). [hyper(286,a,18290,a(flip),b,20780,a),flip(a)]. 20782 K(x,(y / (K(z,u) * w)) \ v5) = K(x,((y / w) \ v5) * K(z,u)). [hyper(62,a,18657,a(flip),b,20781,a)]. 20783 K(x,((y / z) \ T(u,z \ y)) * K(w,v5)) = K(x,u / (y / (K(w,v5) * z))). [hyper(17548,a,20782,a),flip(a)]. 20784 K(x,y / (z / (K(u,w) * v5))) = K(x,(y / (z / v5)) * K(u,w)). [hyper(62,a,19673,a(flip),b,20783,a),flip(a)]. 20785 K(x,y / (z / (K(u,w) * v5))) = K(x,y * ((z / v5) \ K(u,w))). [hyper(286,a,18646,a(flip),b,20784,a),flip(a)]. 20786 K(x,y * ((z \ K(u,w)) \ (v5 \ 1))) = K(x,y * ((v5 / z) \ K(w,u))). [hyper(13867,a,20785,a)]. 20787 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w \ 1))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(62,a,20217,a(flip),b,20785,a),flip(a)]. 20788 K(x,y * ((z / (T(u,w) * v5)) \ K(w,u))) = K(x,y / (z / (u * v5))). [para(4644(a,1),20785(a,1,2,2,2)),flip(a)]. 20790 K(x,y * ((z / (T(u,w) * v5)) \ K(u,T(v6,w)))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [para(7813(a,1),20785(a,1,2,2,2)),flip(a)]. 20791 K(x,y / (z * (u \ K(w,v5)))) = K(x,y * ((z / u) \ K(v5,w))). [hyper(62,a,20408,a(flip),b,20786,a)]. 20792 K(x,y * ((z / u) \ K(w,v5))) = K(x,y * (u * (z \ K(w,v5)))). [hyper(62,a,17296,a(flip),b,20791,a),flip(a)]. 20793 K(x,y * ((z / (T(u,w) * v5)) \ K(u,v6))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [hyper(16847,a,20790,a)]. 20794 K(x,y * ((z / (T(u,w) * v5)) \ K(v6,u))) = K(x,y / (z / (T(T(u,v6),w) * v5))). [hyper(17804,a,20793,a)]. 20797 K(x,y / (z / (T(T(u,w),w) * v5))) = K(x,y / (z / (u * v5))). [hyper(62,a,20788,a(flip),b,20794,a),flip(a)]. 20798 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / (T(T(u \ 1,w),w) * v5))). [hyper(62,a,18589,a(flip),b,20787,a)]. 20799 K(x,y * ((z / (T(u \ 1,w) * v5)) \ K(u,w))) = K(x,y / (z / ((u \ 1) * v5))). [hyper(286,a,20797,a(flip),b,20798,a),flip(a)]. 20801 K(x,y * ((T(z \ 1,u) * w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). [hyper(62,a,20792,a(flip),b,20799,a)]. 20802 K(x,y * ((T(z,u) \ w) * (v5 \ K(z,u)))) = K(x,y / (v5 / ((z \ 1) * w))). [hyper(62,a,20212,a(flip),b,20801,a)]. 20803 K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) * (z \ 1))). [hyper(62,a,20308,a(flip),b,20802,a),flip(a)]. 20804 K(x,y / (z / ((u \ 1) * w))) = K(x,y * ((u \ w) / z)). [hyper(286,a,20136,a(flip),b,20803,a),flip(a)]. 20805 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y / (((z \ 1) * u) \ w)). [hyper(62,a,20423,a(flip),b,20804,a),flip(a)]. 20806 K(x,y / (((z \ 1) * u) \ w)) = K(x,y * (w \ (z \ u))). [hyper(62,a,17736,a(flip),b,20805,a),flip(a)]. 20807 K(x,y * (z \ (u \ w))) * K(x,K(y,z * (u * w))) = K(x,(((u \ 1) * w) \ z) \ y). [para(20806(a,1),20701(a,1,1))]. 20808 K(x,(((y \ 1) * z) \ u) \ w) = K(x,(u \ (y \ z)) * w). [hyper(62,a,18990,a(flip),b,20807,a),flip(a)]. 20809 K(x,(y \ ((z \ 1) * u)) * w) = K(x,(y \ (z \ u)) * w). [hyper(62,a,20086,a(flip),b,20808,a)]. 20810 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((u * (T(y,z) \ 1)) / (w * T(u,T(y \ 1,z)))) \ 1)). [hyper(286,a,6432,a,b,20297,a),flip(a)]. 20811 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,T(y,z) \ (((w * T(u,T(y \ 1,z))) \ 1) \ (T(y,z) * (u \ 1)))). [para(6436(a,1),20810(a,2,2,2))]. 20812 K(x,(T(y,z) \ 1) \ (T(u,T(y \ 1,z)) \ ((T(u,T(y \ 1,z)) * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). [hyper(286,a,20768,a(flip),b,20811,a),flip(a)]. 20813 K(x,(T(y,z) \ 1) \ (u \ ((u * w) * (T(y,z) \ 1)))) = K(x,y \ (((w * T(u,T(y \ 1,z))) \ 1) \ (y * (u \ 1)))). [hyper(19942,a,20812,a)]. 20815 K(x,y \ (((z * T(u,T(y \ 1,w))) \ 1) \ (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [hyper(62,a,20372,a(flip),b,20813,a),flip(a)]. 20817 K(x,y \ ((z * T(u,T(y \ 1,w))) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [hyper(62,a,20061,a(flip),b,20815,a)]. 20818 K(x,y \ ((z * T(u,y \ 1)) * (y * (u \ 1)))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [para(107(a,1),20817(a,1,2,2,1,2,2))]. 20819 K(x,y \ ((z * u) * ((u \ 1) * y))) = K(x,y * (u \ ((u * z) * (y \ 1)))). [para(10832(a,1),20818(a,1,2,2))]. 20820 K(x,((((y * z) \ u) \ 1) / z) * u) = K(x,u * (z \ ((z * y) * (u \ 1)))). [hyper(20300,a,20819,a)]. 20821 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,(z * ((u * z) \ y)) \ y). [hyper(20077,a,20820,a),flip(a)]. 20822 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,y \ ((u * z) * (z \ y))). [hyper(286,a,20277,a(flip),b,20821,a),flip(a)]. 20823 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,R(T(u,y),z,z \ y)). [para(673(a,1),20822(a,2,2))]. 20824 K(x,y * (z \ ((z * u) * (y \ 1)))) = K(x,L(T(u,y),z,z \ y)). [hyper(286,a,14373,a(flip),b,20823,a),flip(a)]. 20825 (x \ K(y,z)) * K(u,L(T(w,x),v5,v5 \ x)) = v5 \ ((v5 * K(u,w)) * (x \ K(y,z))). [para(20824(a,1),19851(a,1,2))]. 20826 (x * ((K(y,T(z,u)) * x) \ u)) \ K(w,v5) = x \ ((x * K(y,z)) * (u \ K(w,v5))). [hyper(62,a,19580,a(flip),b,20825,a)]. 20827 ((x / y) * (y * K(z,u))) \ K(w,v5) = y \ ((y * K(u,z)) * (x \ K(w,v5))). [para(18856(a,1),20826(a,1,1))]. 20828 x \ ((x * K(y,z)) * ((u \ K(w,u)) \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [hyper(62,a,19565,a(flip),b,20827,a),flip(a)]. 20829 x \ ((x * K(y,z)) * T(u,u \ K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [para(109(a,2),20828(a,1,2,2))]. 20830 x \ ((x * K(y,z)) * T(u,K(w,u))) = (x \ 1) * ((K(z,y) / x) \ u). [para(12186(a,1),20829(a,1,2,2))]. 20831 (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). [para(1342(a,1),20830(a,1,2,2)),flip(a)]. 20832 x \ ((x * K(y,z)) * (K(z,y) * u)) = u * a(z,u,K(y,u * x)). [hyper(62,a,20349,a(flip),b,20831,a),flip(a)]. 20833 x * a(y,x,K(z,x * u)) = L(x,K(y,z),u). [hyper(18864,a,20832,a),flip(a)]. 20837 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z,u) \ 1) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13393(a,1),19655(a,1,2,2,1))]. 20838 K(x,(y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,T(z \ 1,u)) * ((((z \ u) \ u) \ 1) * w))) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(13429(a,2),20837(a,1,2,2,1))]. 20839 K(x,T((y * ((((z \ u) \ u) \ 1) * w)) \ (L(y,w,z \ 1) * ((((z \ u) \ u) \ 1) * w)),u)) = K(x,(((((z \ u) \ u) \ 1) * w) * y) \ (T(z \ 1,u) * (w * y))). [para(18386(a,2),20838(a,1,2))]. 20840 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(w,u,K(x,y \ 1)). [hyper(62,a,20361,a(flip),b,20839,a),flip(a)]. 20842 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y \ 1,z) * (u * w))) = a(x,u,K(w,y)). [hyper(286,a,14193,a(flip),b,20840,a),flip(a)]. 20844 K(x,(((((y \ z) \ z) \ 1) * u) * w) \ (T(y,z) \ (u * w))) = a(x,u,K(w,y)). [hyper(62,a,20052,a(flip),b,20842,a)]. 20845 K(x,(y \ ((z \ 1) * ((u \ w) \ w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20089,a(flip),b,20844,a)]. 20847 T(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y)) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(15102(a,1),16282(a,1,1))]. 20849 T(K(x / (y \ z),u) * x,z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(15676(a,1),20847(a,1,1))]. 20850 T(x * K((y \ z) \ x,u),z \ y) \ ((T(x * K(x / (y \ z),u),z \ y) * T(x,T(z \ y,u))) / T(x * K(x / (y \ z),u),z \ y)) = K(u,x / (y \ z)). [para(6941(a,1),20849(a,1,1,1))]. 20851 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,T(z \ y,u)))) = K(u,x / (y \ z)). [hyper(62,a,4811,a(flip),b,20850,a)]. 20852 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(T(x * K(x / (y \ z),u),z \ y),T(x,z \ y))) = K(u,x / (y \ z)). [para(15077(a,1),20851(a,1,2,2))]. 20853 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x * K(x / (y \ z),u),x)) = K(u,x / (y \ z)). [para(8155(a,1),20852(a,1,2,2))]. 20856 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(x,K(x / (y \ z),u))) = K(u,x / (y \ z)). [para(15672(a,1),20853(a,1,2,2))]. 20857 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,x / (y \ z)))) = K(u,x / (y \ z)). [para(8060(a,1),20856(a,1,2,2))]. 20858 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ (y * x)))) = K(u,x / (y \ z)). [para(9605(a,2),20857(a,1,2,2,2))]. 20859 T(x * K((y \ z) \ x,u),z \ y) \ (T(x,T(z \ y,u)) * K(u,K(x,z \ y))) = K(u,x / (y \ z)). [para(10852(a,1),20858(a,1,2,2))]. 20860 T(x * K((y \ z) \ x,u),z \ y) \ T(x * K(u,K(x,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). [para(15317(a,2),20859(a,1,2))]. 20861 T(x * K((y \ z) \ x,u),z \ y) \ T(T(x,K(u,z \ y)),T(z \ y,u)) = K(u,x / (y \ z)). [para(8061(a,1),20860(a,1,2,1))]. 20862 T(x * K((y \ z) \ x,u),z \ y) \ T(x,z \ y) = K(u,x / (y \ z)). [para(7939(a,1),20861(a,1,2))]. 20864 T(x * K(((y \ 1) * (K(z,u) / w)) \ x,v5),1 \ ((w * K(u,z)) * y)) \ T(x,1 \ ((w * K(u,z)) * y)) = K(v5,x / (((w * K(u,z)) * y) \ 1)). [para(13594(a,1),20862(a,1,1,1,2,1,1))]. 20865 T(x * K((y * ((z \ 1) \ K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). [para(19143(a,1),20864(a,1,1,1,2))]. 20866 T(x * K((y * (z * K(u,w))) * x,v5),1 \ ((y * K(w,u)) * z)) \ T(x,1 \ ((y * K(w,u)) * z)) = K(v5,x / (((y * K(w,u)) * z) \ 1)). [para(13487(a,1),20865(a,1,1,1,2,1,1,2))]. 20867 T(x * K((y * z) * (x * K(u,w)),v5),1 \ ((y * K(u,w)) * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(19147(a,1),20866(a,1,1,1,2))]. 20868 T(x * K((y * z) * (x * K(u,w)),v5),(y * K(u,w)) * z) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(64(a,1),20867(a,1,1,2))]. 20869 T(x * K((y * z) * (x * K(u,w)),v5),K(u,w) * (y * z)) \ T(x,1 \ ((y * K(u,w)) * z)) = K(v5,x / (((y * K(u,w)) * z) \ 1)). [para(17026(a,1),20868(a,1,1))]. 20870 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,1 \ ((z * K(x,y)) * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(16992(a,1),20869(a,1,1))]. 20871 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,(z * K(x,y)) * u) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(64(a,1),20870(a,1,2,2))]. 20872 ((K(x,y) * (z * u)) \ T(w * (K(x,y) * (z * u)),v5)) \ T(w,K(x,y) * (z * u)) = K(v5,w / (((z * K(x,y)) * u) \ 1)). [para(17026(a,1),20871(a,1,2))]. 20873 K(x,y / (((z * K(u,w)) * v5) \ 1)) = K(x,y * (K(u,w) * (z * v5))). [hyper(62,a,13599,a(flip),b,20872,a),flip(a)]. 20874 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (K(u,w) * (z * v5))). [hyper(13619,a,20873,a)]. 20875 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * (v6 * T(y \ z,v6)))). [hyper(62,a,17119,a,b,20874,a)]. 20876 K(x,K(y,K(z,u) * w) * (K(z,T(u,w)) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [hyper(62,a,18492,a(flip),b,20874,a),flip(a)]. 20877 K(x,(y \ T(z,u)) * (K(w,T(v5,v6 * (y \ z))) * v6)) = K(x,K(z,u) * (K(w,v5) * ((y \ z) * v6))). [para(108(a,1),20875(a,2,2,2,2))]. 20878 K(x,K(y,z) * (K(u,w) * ((v5 \ y) * v6))) = K(x,(v5 \ T(y,z)) * (K(u,w) * v6)). [hyper(16846,a,20877,a),flip(a)]. 20881 K(x,K(y,K(z,u) * w) * (K(z,u) * ((v5 \ w) * v6))) = K(x,(L(v5,w,K(z,u)) \ T(K(z,u) * w,y)) * v6). [hyper(16846,a,20876,a)]. 20882 K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,K(z,v5) * (K(u,w) * ((y \ z) * v6))). [hyper(16088,a,20881,a),flip(a)]. 20883 K(x,(L(y,z,K(u,w)) \ T(K(u,w) * z,v5)) * v6) = K(x,(y \ T(z,v5)) * (K(u,w) * v6)). [hyper(286,a,20878,a(flip),b,20882,a),flip(a)]. 20884 K(x,(y \ T(K(z,u) * w,v5)) * v6) = K(x,(y \ T(w,v5)) * (K(z,u) * v6)). [hyper(62,a,18153,a(flip),b,20883,a)]. 20886 K(x,(y \ T(z * u,z)) * (K(u \ w,u) * v5)) = K(x,(y \ ((w / (w / u)) * z)) * v5). [hyper(62,a,19852,a(flip),b,20884,a),flip(a)]. 20887 K(x,K(y,z) * ((u \ T(w * y,w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). [hyper(17068,a,20886,a)]. 20888 K(x,K(y,z) * ((u \ (y * w)) * v5)) = K(x,(u \ ((z / (z / y)) * w)) * v5). [hyper(62,a,19986,a(flip),b,20887,a)]. 20889 K(x,(y \ ((z / (z / u)) * w)) * v5) = K(x,(y \ (T(u,z) * w)) * v5). [hyper(62,a,19608,a(flip),b,20888,a),flip(a)]. 20890 K(x,(y \ (T(z,z \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [hyper(62,a,19613,a,b,20889,a)]. 20891 K(x,(y \ (((z \ u) \ u) * w)) * v5) = K(x,(y \ (T(z,u) * w)) * v5). [para(109(a,1),20890(a,1,2,1,2,1))]. 20892 T(x \ K(x \ (K(y,z \ (u \ 1)) * K(y,K(z,u))),w),K(y,u \ (z \ 1))) \ T(x \ 1,T(K(y,z \ (u \ 1)) * K(y,K(z,u)),w)) = K(w,x \ ((K(y,z \ (u \ 1)) \ 1) \ K(y,K(z,u)))). [para(5862(a,1),16349(a,1,1,1,2,1,2))]. 20893 T(x \ K(x \ K(y,z \ (u \ 1)),w),K(y,z \ (u \ 1))) \ T(x \ 1,T(K(y,u \ (z \ 1)) * K(y,K(u,z)),w)) = K(w,x \ ((K(y,u \ (z \ 1)) \ 1) \ K(y,K(u,z)))). [para(9080(a,1),20892(a,1,1,1,2,1,2))]. 20894 T(x \ K(x \ K(y * z,u),w),K(u,z \ (y \ 1))) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). [para(16142(a,1),20893(a,1,1,1,2))]. 20895 T(x \ K(x \ K(y * z,u),w),K(u,y * z)) \ T(x \ 1,T(K(u,y \ (z \ 1)) * K(u,K(y,z)),w)) = K(w,x \ ((K(u,y \ (z \ 1)) \ 1) \ K(u,K(y,z)))). [para(11885(a,1),20894(a,1,1))]. 20896 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,y \ (z \ 1)) * K(x,K(y,z)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(15988(a,1),20895(a,1,1))]. 20897 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,T(K(x,z \ (y \ 1)),w)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(9080(a,1),20896(a,1,2,2,1))]. 20898 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,z \ (y \ 1))) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(15053(a,1),20897(a,1,2))]. 20899 (K(x,y * z) * T(u \ K(y * z,x),w)) \ T(u \ 1,K(x,y * z)) = K(w,u \ ((K(x,y \ (z \ 1)) \ 1) \ K(x,K(y,z)))). [para(11885(a,1),20898(a,1,2))]. 20901 K(x,y \ ((K(z,u \ (w \ 1)) \ 1) \ K(z,K(u,w)))) = K(x,y \ K(z,u * w)). [hyper(62,a,16308,a(flip),b,20899,a),flip(a)]. 20902 K(x,y \ (K(z,u \ (w \ 1)) * K(z,K(u,w)))) = K(x,y \ K(z,u * w)). [hyper(62,a,20061,a(flip),b,20901,a)]. 20903 K(x,y \ K(z,u \ (w \ 1))) = K(x,y \ K(z,w * u)). [para(9080(a,1),20902(a,1,2,2))]. 20904 K(x,(x \ T((y * x) \ x,z)) \ K(y,y * x)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,13998,a(flip),b,20903,a),flip(a)]. 20905 K(x,(x \ T((y * x) \ x,z)) \ K(y,x * y)) = K(x,y * (x * K(z,y \ 1))). [para(5991(a,2),20904(a,1,2,2))]. 20906 K(x,(x \ T((y * x) \ x,z)) \ K(y,x)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,13132,a(flip),b,20905,a)]. 20907 K(x,(x \ T((y * x) \ x,z)) \ 1) = K(x,y * (x * K(z,y \ 1))). [hyper(8535,a,20906,a)]. 20908 K(x,T((y * x) \ x,z) \ x) = K(x,y * (x * K(z,y \ 1))). [hyper(6979,a,20907,a)]. 20909 K(x,T(((y * x) \ x) \ x,z)) = K(x,y * (x * K(z,y \ 1))). [hyper(9655,a,20908,a)]. 20910 K(x,T(T(y * x,x),z)) = K(x,y * (x * K(z,y \ 1))). [hyper(62,a,8972,a(flip),b,20909,a)]. 20911 K(x,y * (x * K(z,y \ 1))) = K(x,T(y * x,z)). [hyper(4872,a,20910,a),flip(a)]. 20913 K(x,K(y,z) * (z * x)) = K(x,T(z * x,y)). [hyper(62,a,17049,a(flip),b,20911,a)]. 20914 K(x,T(y * x,z)) = K(x,T(y,z) * x). [hyper(62,a,14724,a(flip),b,20913,a),flip(a)]. 20915 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(286,a,5991,a(flip),b,20914,a),flip(a)]. 20916 K(x,(y \ (K(z,T(u * z,w)) * (((u \ w) \ w) * z))) * v5) = K(x,(y \ (((u \ w) \ w) * (z * K(u,T(z,w))))) * v5). [para(20915(a,2),19086(a,1,2,1,2,1))]. 20917 K(x,K(T(y * z,u),z) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). [hyper(62,a,19604,a(flip),b,20916,a)]. 20918 K(x,K(y * z,T(z,u)) * ((w \ (((y \ u) \ u) * z)) * v5)) = K(x,(w \ (((y \ u) \ u) * (z * K(y,T(z,u))))) * v5). [para(7777(a,1),20917(a,1,2,1))]. 20919 K(x,K(y,z * y) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). [hyper(16098,a,20918,a)]. 20920 K(x,K(y,y * z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (((z \ w) \ w) * (y * K(z,T(y,w))))) * v5). [hyper(16110,a,20919,a)]. 20922 K(x,(y \ (((z \ u) \ u) * (w * K(z,T(w,u))))) * v5) = K(x,K(w,z) * ((y \ (((z \ u) \ u) * w)) * v5)). [hyper(62,a,13117,a(flip),b,20920,a),flip(a)]. 20923 K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (T((z \ w) \ w,y) * y)) * v5). [para(7779(a,1),20922(a,1,2,1,2)),flip(a)]. 20924 K(x,K(y,z) * ((u \ (((z \ w) \ w) * y)) * v5)) = K(x,(u \ (y * ((z \ w) \ w))) * v5). [hyper(286,a,19612,a(flip),b,20923,a),flip(a)]. 20925 K(x,(y \ (((z \ u) \ u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [hyper(62,a,19674,a(flip),b,20924,a)]. 20926 K(x,(y \ (T(z,u) * T(w,z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [hyper(62,a,20891,a(flip),b,20925,a)]. 20927 K(x,(y \ (K(z,u) * (w * z))) * v5) = K(x,(y \ (w * ((z \ u) \ u))) * v5). [para(5717(a,2),20926(a,1,2,1,2))]. 20928 K(x,K(y,z) * ((u \ (w * z)) * v5)) = K(x,(u \ (w * ((z \ y) \ y))) * v5). [hyper(62,a,19604,a(flip),b,20927,a)]. 20929 K(x,(y \ (z * ((u \ w) \ w))) * v5) = K(x,(y \ (z * T(u,w))) * v5). [hyper(62,a,19672,a(flip),b,20928,a),flip(a)]. 20930 K(x,(y \ ((z \ 1) * T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20845,a(flip),b,20929,a),flip(a)]. 20931 K(x,(y \ (z \ T(u,w))) * (T(u,w) \ (z * y))) = a(x,z,K(y,u)). [hyper(62,a,20809,a(flip),b,20930,a)]. 20932 a(x,y,K(z,y \ T(u,w))) = a(z,x,K(y,u)). [hyper(20726,a,20931,a)]. 20933 a(x,y,K(z,u \ y)) = a(x,z,K(y,u)). [hyper(62,a,19275,a(flip),b,20932,a)]. 20934 a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). [para(107(a,1),20932(a,1,3,2,2))]. 20940 a(x \ y,x,K(z,u)) = a(z,u,K(y,x)). [hyper(62,a,14229,a,b,20933,a)]. 20941 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(286,a,14178,a(flip),b,20934,a),flip(a)]. 20942 a(x,y,K(z \ y,u)) = a(x,u,K(z,y)). [hyper(14253,a,20940,a)]. 20943 K(x,L(y,z,z \ u)) = K(x,y) * a(u,y,K(x,z)). [para(20941(a,1),14199(a,1,2)),flip(a)]. 20944 K(x,y) * a(z * u,y,K(x,z)) = K(x,L(y,z,u)). [para(9(a,1),20943(a,1,2,3)),flip(a)]. 20945 K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). [para(14534(a,1),20944(a,1,2))]. 20946 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(33,a,14199,a,b,20945,a)]. 20947 a(x,y,K(z,y * u)) = a(u,x,K(z,y)). [hyper(286,a,14534,a(flip),b,20946,a),flip(a)]. 20948 x * a(y,z,K(u,x)) = L(x,K(z,u),y). [para(20947(a,1),20833(a,1,2))]. 20949 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(62,a,18097,a(flip),b,20948,a),flip(a)]. 20950 L(x \ L(x,y,K(z * ((K(y,u) * z) \ w),u)),x,w * a(y,z,K(w \ z,u))) = a(w,K(u,y),x). [para(20949(a,1),20654(a,1,1,2))]. 20951 L(x \ L(x,y,K(z * ((z \ u) * K(w,y)),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). [para(19587(a,1),20950(a,1,1,2,3))]. 20952 L(x \ L(x,y,K(z * (z \ u),w)),x,u * a(y,z,K(u \ z,w))) = a(u,K(w,y),x). [para(9143(a,1),20951(a,1,1,2,3))]. 20953 L(x \ L(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). [para(10(a,1),20952(a,1,1,2,3,1))]. 20955 L(a(x,y,K(z,u)),x,z * a(y,w,K(z \ w,u))) = a(z,K(u,y),x). [para(18099(a,1),20953(a,1,1))]. 20956 L(a(x,y,K(z,u)),x,z * a(y,u,K(z,w))) = a(z,K(u,y),x). [para(20942(a,1),20955(a,1,3,2))]. 20957 L(a(x,y,K(z,u)),x,L(z,u,K(w,y))) = a(z,K(u,y),x). [para(18095(a,1),20956(a,1,3))]. 20958 a(x,y,K(z,L(u,x,L(z,u,K(w,y))))) = a(z,K(u,y),x). [hyper(62,a,12576,a,b,20957,a)]. 20959 a(x,K(y,z),u) = a(u,z,K(x,y)). [hyper(14243,a,20958,a),flip(a)]. 20960 $F # answer("aK2_eq_aK3 (4312)"). [resolve(20959,a,63,a(flip))]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=18075. Generated=687031434. Kept=20945. proofs=1. Usable=18075. Sos=2868. Demods=0. Limbo=0, Disabled=50. Hints=26556. Kept_by_rule=0, Deleted_by_rule=685908754. Forward_subsumed=1101735. 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=1170597. Nonunit_bsub_feature_tests=538. Megabytes=87.73. User_CPU=4949.98, System_CPU=213.74, Wall_clock=5164. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 21899 exit (max_proofs) ------  Process 21899 exit (max_proofs) Thu Jul 29 14:59:14 2021